diff --git a/src/lattice.f90 b/src/lattice.f90 index d11932c29..1a7508984 100644 --- a/src/lattice.f90 +++ b/src/lattice.f90 @@ -7,1288 +7,1278 @@ ! and cleavage as well as interaction among the various systems !-------------------------------------------------------------------------------------------------- module lattice - use prec, only: & - pReal - use future - - implicit none - private - + use prec, only: & + pReal + use future + + implicit none + private + ! BEGIN DEPRECATED - integer, parameter, public :: & - LATTICE_maxNcleavageFamily = 3 !< max # of transformation system families over lattice structures - - integer, allocatable, dimension(:,:), protected, public :: & - lattice_NcleavageSystem !< total # of transformation systems in each family - - real(pReal), allocatable, dimension(:,:,:,:,:), protected, public :: & - lattice_Scleavage !< Schmid matrices for cleavage systems + integer, parameter, public :: & + LATTICE_maxNcleavageFamily = 3 !< max # of transformation system families over lattice structures + + integer, allocatable, dimension(:,:), protected, public :: & + lattice_NcleavageSystem !< total # of transformation systems in each family + + real(pReal), allocatable, dimension(:,:,:,:,:), protected, public :: & + lattice_Scleavage !< Schmid matrices for cleavage systems ! END DEPRECATED !-------------------------------------------------------------------------------------------------- ! face centered cubic - integer, dimension(2), parameter, private :: & - LATTICE_FCC_NSLIPSYSTEM = [12, 6] !< # of slip systems per family for fcc - - integer, dimension(1), parameter, private :: & - LATTICE_FCC_NTWINSYSTEM = [12] !< # of twin systems per family for fcc - - integer, dimension(1), parameter, private :: & - LATTICE_FCC_NTRANSSYSTEM = [12] !< # of transformation systems per family for fcc - - integer, dimension(2), parameter, private :: & - LATTICE_FCC_NCLEAVAGESYSTEM = [3, 4] !< # of cleavage systems per family for fcc - - integer, parameter, private :: & - LATTICE_FCC_NSLIP = sum(LATTICE_FCC_NSLIPSYSTEM), & !< total # of slip systems for fcc - LATTICE_FCC_NTWIN = sum(LATTICE_FCC_NTWINSYSTEM), & !< total # of twin systems for fcc - LATTICE_FCC_NTRANS = sum(LATTICE_FCC_NTRANSSYSTEM), & !< total # of transformation systems for fcc - LATTICE_FCC_NCLEAVAGE = sum(LATTICE_FCC_NCLEAVAGESYSTEM) !< total # of cleavage systems for fcc - - real(pReal), dimension(3+3,LATTICE_FCC_NSLIP), parameter, private :: & - LATTICE_FCC_SYSTEMSLIP = reshape(real([& - ! Slip direction Plane normal ! SCHMID-BOAS notation - 0, 1,-1, 1, 1, 1, & ! B2 - -1, 0, 1, 1, 1, 1, & ! B4 - 1,-1, 0, 1, 1, 1, & ! B5 - 0,-1,-1, -1,-1, 1, & ! C1 - 1, 0, 1, -1,-1, 1, & ! C3 - -1, 1, 0, -1,-1, 1, & ! C5 - 0,-1, 1, 1,-1,-1, & ! A2 - -1, 0,-1, 1,-1,-1, & ! A3 - 1, 1, 0, 1,-1,-1, & ! A6 - 0, 1, 1, -1, 1,-1, & ! D1 - 1, 0,-1, -1, 1,-1, & ! D4 - -1,-1, 0, -1, 1,-1, & ! D6 - ! Slip system <110>{110} - 1, 1, 0, 1,-1, 0, & - 1,-1, 0, 1, 1, 0, & - 1, 0, 1, 1, 0,-1, & - 1, 0,-1, 1, 0, 1, & - 0, 1, 1, 0, 1,-1, & - 0, 1,-1, 0, 1, 1 & - ],pReal),shape(LATTICE_FCC_SYSTEMSLIP)) !< Slip system <110>{111} directions. Sorted according to Eisenlohr & Hantcherli - - character(len=*), dimension(2), parameter, private :: LATTICE_FCC_SLIPFAMILY_NAME = & - ['<0 1 -1>{1 1 1}', & - '<0 1 -1>{0 1 1}'] - - real(pReal), dimension(3+3,LATTICE_FCC_NTWIN), parameter, private :: & - LATTICE_FCC_SYSTEMTWIN = reshape(real( [& - -2, 1, 1, 1, 1, 1, & - 1,-2, 1, 1, 1, 1, & - 1, 1,-2, 1, 1, 1, & - 2,-1, 1, -1,-1, 1, & - -1, 2, 1, -1,-1, 1, & - -1,-1,-2, -1,-1, 1, & - -2,-1,-1, 1,-1,-1, & - 1, 2,-1, 1,-1,-1, & - 1,-1, 2, 1,-1,-1, & - 2, 1,-1, -1, 1,-1, & - -1,-2,-1, -1, 1,-1, & - -1, 1, 2, -1, 1,-1 & - ],pReal),shape(LATTICE_FCC_SYSTEMTWIN)) !< Twin system <112>{111} directions. Sorted according to Eisenlohr & Hantcherli - - character(len=*), dimension(1), parameter, private :: LATTICE_FCC_TWINFAMILY_NAME = & - ['<-2 1 1>{1 1 1}'] - - - integer, dimension(2,LATTICE_FCC_NTWIN), parameter, public :: & - LATTICE_FCC_TWINNUCLEATIONSLIPPAIR = reshape( [& - 2,3, & - 1,3, & - 1,2, & - 5,6, & - 4,6, & - 4,5, & - 8,9, & - 7,9, & - 7,8, & - 11,12, & - 10,12, & - 10,11 & - ],shape(LATTICE_FCC_TWINNUCLEATIONSLIPPAIR)) - - real(pReal), dimension(3+3,LATTICE_FCC_NCLEAVAGE), parameter, private :: & - LATTICE_FCC_SYSTEMCLEAVAGE = reshape(real([& - ! Cleavage direction Plane normal - 0, 1, 0, 1, 0, 0, & - 0, 0, 1, 0, 1, 0, & - 1, 0, 0, 0, 0, 1, & - 0, 1,-1, 1, 1, 1, & - 0,-1,-1, -1,-1, 1, & - -1, 0,-1, 1,-1,-1, & - 0, 1, 1, -1, 1,-1 & - ],pReal),shape(LATTICE_FCC_SYSTEMCLEAVAGE)) - + integer, dimension(2), parameter, private :: & + LATTICE_FCC_NSLIPSYSTEM = [12, 6] !< # of slip systems per family for fcc + + integer, dimension(1), parameter, private :: & + LATTICE_FCC_NTWINSYSTEM = [12] !< # of twin systems per family for fcc + + integer, dimension(1), parameter, private :: & + LATTICE_FCC_NTRANSSYSTEM = [12] !< # of transformation systems per family for fcc + + integer, dimension(2), parameter, private :: & + LATTICE_FCC_NCLEAVAGESYSTEM = [3, 4] !< # of cleavage systems per family for fcc + + integer, parameter, private :: & + LATTICE_FCC_NSLIP = sum(LATTICE_FCC_NSLIPSYSTEM), & !< total # of slip systems for fcc + LATTICE_FCC_NTWIN = sum(LATTICE_FCC_NTWINSYSTEM), & !< total # of twin systems for fcc + LATTICE_FCC_NTRANS = sum(LATTICE_FCC_NTRANSSYSTEM), & !< total # of transformation systems for fcc + LATTICE_FCC_NCLEAVAGE = sum(LATTICE_FCC_NCLEAVAGESYSTEM) !< total # of cleavage systems for fcc + + real(pReal), dimension(3+3,LATTICE_FCC_NSLIP), parameter, private :: & + LATTICE_FCC_SYSTEMSLIP = reshape(real([& + ! Slip direction Plane normal ! SCHMID-BOAS notation + 0, 1,-1, 1, 1, 1, & ! B2 + -1, 0, 1, 1, 1, 1, & ! B4 + 1,-1, 0, 1, 1, 1, & ! B5 + 0,-1,-1, -1,-1, 1, & ! C1 + 1, 0, 1, -1,-1, 1, & ! C3 + -1, 1, 0, -1,-1, 1, & ! C5 + 0,-1, 1, 1,-1,-1, & ! A2 + -1, 0,-1, 1,-1,-1, & ! A3 + 1, 1, 0, 1,-1,-1, & ! A6 + 0, 1, 1, -1, 1,-1, & ! D1 + 1, 0,-1, -1, 1,-1, & ! D4 + -1,-1, 0, -1, 1,-1, & ! D6 + ! Slip system <110>{110} + 1, 1, 0, 1,-1, 0, & + 1,-1, 0, 1, 1, 0, & + 1, 0, 1, 1, 0,-1, & + 1, 0,-1, 1, 0, 1, & + 0, 1, 1, 0, 1,-1, & + 0, 1,-1, 0, 1, 1 & + ],pReal),shape(LATTICE_FCC_SYSTEMSLIP)) !< Slip system <110>{111} directions. Sorted according to Eisenlohr & Hantcherli + + character(len=*), dimension(2), parameter, private :: LATTICE_FCC_SLIPFAMILY_NAME = & + ['<0 1 -1>{1 1 1}', & + '<0 1 -1>{0 1 1}'] + + real(pReal), dimension(3+3,LATTICE_FCC_NTWIN), parameter, private :: & + LATTICE_FCC_SYSTEMTWIN = reshape(real( [& + -2, 1, 1, 1, 1, 1, & + 1,-2, 1, 1, 1, 1, & + 1, 1,-2, 1, 1, 1, & + 2,-1, 1, -1,-1, 1, & + -1, 2, 1, -1,-1, 1, & + -1,-1,-2, -1,-1, 1, & + -2,-1,-1, 1,-1,-1, & + 1, 2,-1, 1,-1,-1, & + 1,-1, 2, 1,-1,-1, & + 2, 1,-1, -1, 1,-1, & + -1,-2,-1, -1, 1,-1, & + -1, 1, 2, -1, 1,-1 & + ],pReal),shape(LATTICE_FCC_SYSTEMTWIN)) !< Twin system <112>{111} directions. Sorted according to Eisenlohr & Hantcherli + + character(len=*), dimension(1), parameter, private :: LATTICE_FCC_TWINFAMILY_NAME = & + ['<-2 1 1>{1 1 1}'] + + + integer, dimension(2,LATTICE_FCC_NTWIN), parameter, public :: & + LATTICE_FCC_TWINNUCLEATIONSLIPPAIR = reshape( [& + 2,3, & + 1,3, & + 1,2, & + 5,6, & + 4,6, & + 4,5, & + 8,9, & + 7,9, & + 7,8, & + 11,12, & + 10,12, & + 10,11 & + ],shape(LATTICE_FCC_TWINNUCLEATIONSLIPPAIR)) + + real(pReal), dimension(3+3,LATTICE_FCC_NCLEAVAGE), parameter, private :: & + LATTICE_FCC_SYSTEMCLEAVAGE = reshape(real([& + ! Cleavage direction Plane normal + 0, 1, 0, 1, 0, 0, & + 0, 0, 1, 0, 1, 0, & + 1, 0, 0, 0, 0, 1, & + 0, 1,-1, 1, 1, 1, & + 0,-1,-1, -1,-1, 1, & + -1, 0,-1, 1,-1,-1, & + 0, 1, 1, -1, 1,-1 & + ],pReal),shape(LATTICE_FCC_SYSTEMCLEAVAGE)) + !-------------------------------------------------------------------------------------------------- ! body centered cubic - integer, dimension(2), parameter, private :: & - LATTICE_BCC_NSLIPSYSTEM = [12, 12] !< # of slip systems per family for bcc - - integer, dimension(1), parameter, private :: & - LATTICE_BCC_NTWINSYSTEM = [12] !< # of twin systems per family for bcc - - integer, dimension(2), parameter, private :: & - LATTICE_BCC_NCLEAVAGESYSTEM = [3, 6] !< # of cleavage systems per family for bcc - - integer, parameter, private :: & - LATTICE_BCC_NSLIP = sum(LATTICE_BCC_NSLIPSYSTEM), & !< total # of slip systems for bcc - LATTICE_BCC_NTWIN = sum(LATTICE_BCC_NTWINSYSTEM), & !< total # of twin systems for bcc - LATTICE_BCC_NCLEAVAGE = sum(LATTICE_BCC_NCLEAVAGESYSTEM) !< total # of cleavage systems for bcc - - real(pReal), dimension(3+3,LATTICE_BCC_NSLIP), parameter, private :: & - LATTICE_BCC_SYSTEMSLIP = reshape(real([& - ! Slip direction Plane normal - ! Slip system <111>{110} - 1,-1, 1, 0, 1, 1, & - -1,-1, 1, 0, 1, 1, & - 1, 1, 1, 0,-1, 1, & - -1, 1, 1, 0,-1, 1, & - -1, 1, 1, 1, 0, 1, & - -1,-1, 1, 1, 0, 1, & - 1, 1, 1, -1, 0, 1, & - 1,-1, 1, -1, 0, 1, & - -1, 1, 1, 1, 1, 0, & - -1, 1,-1, 1, 1, 0, & - 1, 1, 1, -1, 1, 0, & - 1, 1,-1, -1, 1, 0, & - ! Slip system <111>{112} - -1, 1, 1, 2, 1, 1, & - 1, 1, 1, -2, 1, 1, & - 1, 1,-1, 2,-1, 1, & - 1,-1, 1, 2, 1,-1, & - 1,-1, 1, 1, 2, 1, & - 1, 1,-1, -1, 2, 1, & - 1, 1, 1, 1,-2, 1, & - -1, 1, 1, 1, 2,-1, & - 1, 1,-1, 1, 1, 2, & - 1,-1, 1, -1, 1, 2, & - -1, 1, 1, 1,-1, 2, & - 1, 1, 1, 1, 1,-2 & - ],pReal),shape(LATTICE_BCC_SYSTEMSLIP)) - - character(len=*), dimension(2), parameter, private :: LATTICE_BCC_SLIPFAMILY_NAME = & - ['<1 -1 1>{0 1 1}', & - '<1 -1 1>{2 1 1}'] - - real(pReal), dimension(3+3,LATTICE_BCC_NTWIN), parameter, private :: & - LATTICE_BCC_SYSTEMTWIN = reshape(real([& - ! Twin system <111>{112} - -1, 1, 1, 2, 1, 1, & - 1, 1, 1, -2, 1, 1, & - 1, 1,-1, 2,-1, 1, & - 1,-1, 1, 2, 1,-1, & - 1,-1, 1, 1, 2, 1, & - 1, 1,-1, -1, 2, 1, & - 1, 1, 1, 1,-2, 1, & - -1, 1, 1, 1, 2,-1, & - 1, 1,-1, 1, 1, 2, & - 1,-1, 1, -1, 1, 2, & - -1, 1, 1, 1,-1, 2, & - 1, 1, 1, 1, 1,-2 & - ],pReal),shape(LATTICE_BCC_SYSTEMTWIN)) - - character(len=*), dimension(1), parameter, private :: LATTICE_BCC_TWINFAMILY_NAME = & - ['<1 1 1>{2 1 1}'] - - real(pReal), dimension(3+3,LATTICE_BCC_NCLEAVAGE), parameter, private :: & - LATTICE_BCC_SYSTEMCLEAVAGE = reshape(real([& - ! Cleavage direction Plane normal - 0, 1, 0, 1, 0, 0, & - 0, 0, 1, 0, 1, 0, & - 1, 0, 0, 0, 0, 1, & - 1,-1, 1, 0, 1, 1, & - 1, 1, 1, 0,-1, 1, & - -1, 1, 1, 1, 0, 1, & - 1, 1, 1, -1, 0, 1, & - -1, 1, 1, 1, 1, 0, & - 1, 1, 1, -1, 1, 0 & - ],pReal),shape(LATTICE_BCC_SYSTEMCLEAVAGE)) - + integer, dimension(2), parameter, private :: & + LATTICE_BCC_NSLIPSYSTEM = [12, 12] !< # of slip systems per family for bcc + + integer, dimension(1), parameter, private :: & + LATTICE_BCC_NTWINSYSTEM = [12] !< # of twin systems per family for bcc + + integer, dimension(2), parameter, private :: & + LATTICE_BCC_NCLEAVAGESYSTEM = [3, 6] !< # of cleavage systems per family for bcc + + integer, parameter, private :: & + LATTICE_BCC_NSLIP = sum(LATTICE_BCC_NSLIPSYSTEM), & !< total # of slip systems for bcc + LATTICE_BCC_NTWIN = sum(LATTICE_BCC_NTWINSYSTEM), & !< total # of twin systems for bcc + LATTICE_BCC_NCLEAVAGE = sum(LATTICE_BCC_NCLEAVAGESYSTEM) !< total # of cleavage systems for bcc + + real(pReal), dimension(3+3,LATTICE_BCC_NSLIP), parameter, private :: & + LATTICE_BCC_SYSTEMSLIP = reshape(real([& + ! Slip direction Plane normal + ! Slip system <111>{110} + 1,-1, 1, 0, 1, 1, & + -1,-1, 1, 0, 1, 1, & + 1, 1, 1, 0,-1, 1, & + -1, 1, 1, 0,-1, 1, & + -1, 1, 1, 1, 0, 1, & + -1,-1, 1, 1, 0, 1, & + 1, 1, 1, -1, 0, 1, & + 1,-1, 1, -1, 0, 1, & + -1, 1, 1, 1, 1, 0, & + -1, 1,-1, 1, 1, 0, & + 1, 1, 1, -1, 1, 0, & + 1, 1,-1, -1, 1, 0, & + ! Slip system <111>{112} + -1, 1, 1, 2, 1, 1, & + 1, 1, 1, -2, 1, 1, & + 1, 1,-1, 2,-1, 1, & + 1,-1, 1, 2, 1,-1, & + 1,-1, 1, 1, 2, 1, & + 1, 1,-1, -1, 2, 1, & + 1, 1, 1, 1,-2, 1, & + -1, 1, 1, 1, 2,-1, & + 1, 1,-1, 1, 1, 2, & + 1,-1, 1, -1, 1, 2, & + -1, 1, 1, 1,-1, 2, & + 1, 1, 1, 1, 1,-2 & + ],pReal),shape(LATTICE_BCC_SYSTEMSLIP)) + + character(len=*), dimension(2), parameter, private :: LATTICE_BCC_SLIPFAMILY_NAME = & + ['<1 -1 1>{0 1 1}', & + '<1 -1 1>{2 1 1}'] + + real(pReal), dimension(3+3,LATTICE_BCC_NTWIN), parameter, private :: & + LATTICE_BCC_SYSTEMTWIN = reshape(real([& + ! Twin system <111>{112} + -1, 1, 1, 2, 1, 1, & + 1, 1, 1, -2, 1, 1, & + 1, 1,-1, 2,-1, 1, & + 1,-1, 1, 2, 1,-1, & + 1,-1, 1, 1, 2, 1, & + 1, 1,-1, -1, 2, 1, & + 1, 1, 1, 1,-2, 1, & + -1, 1, 1, 1, 2,-1, & + 1, 1,-1, 1, 1, 2, & + 1,-1, 1, -1, 1, 2, & + -1, 1, 1, 1,-1, 2, & + 1, 1, 1, 1, 1,-2 & + ],pReal),shape(LATTICE_BCC_SYSTEMTWIN)) + + character(len=*), dimension(1), parameter, private :: LATTICE_BCC_TWINFAMILY_NAME = & + ['<1 1 1>{2 1 1}'] + + real(pReal), dimension(3+3,LATTICE_BCC_NCLEAVAGE), parameter, private :: & + LATTICE_BCC_SYSTEMCLEAVAGE = reshape(real([& + ! Cleavage direction Plane normal + 0, 1, 0, 1, 0, 0, & + 0, 0, 1, 0, 1, 0, & + 1, 0, 0, 0, 0, 1, & + 1,-1, 1, 0, 1, 1, & + 1, 1, 1, 0,-1, 1, & + -1, 1, 1, 1, 0, 1, & + 1, 1, 1, -1, 0, 1, & + -1, 1, 1, 1, 1, 0, & + 1, 1, 1, -1, 1, 0 & + ],pReal),shape(LATTICE_BCC_SYSTEMCLEAVAGE)) + !-------------------------------------------------------------------------------------------------- ! hexagonal - integer, dimension(6), parameter, private :: & - LATTICE_HEX_NSLIPSYSTEM = [3, 3, 3, 6, 12, 6] !< # of slip systems per family for hex - - integer, dimension(4), parameter, private :: & - LATTICE_HEX_NTWINSYSTEM = [6, 6, 6, 6] !< # of slip systems per family for hex - - integer, dimension(1), parameter, private :: & - LATTICE_HEX_NCLEAVAGESYSTEM = [3] !< # of cleavage systems per family for hex - - integer, parameter, private :: & - LATTICE_HEX_NSLIP = sum(LATTICE_HEX_NSLIPSYSTEM), & !< total # of slip systems for hex - LATTICE_HEX_NTWIN = sum(LATTICE_HEX_NTWINSYSTEM), & !< total # of twin systems for hex - LATTICE_HEX_NCLEAVAGE = sum(LATTICE_HEX_NCLEAVAGESYSTEM) !< total # of cleavage systems for hex - - real(pReal), dimension(4+4,LATTICE_HEX_NSLIP), parameter, private :: & - LATTICE_HEX_SYSTEMSLIP = reshape(real([& - ! Slip direction Plane normal - ! Basal systems <11.0>{00.1} (independent of c/a-ratio, Bravais notation (4 coordinate base)) - 2, -1, -1, 0, 0, 0, 0, 1, & - -1, 2, -1, 0, 0, 0, 0, 1, & - -1, -1, 2, 0, 0, 0, 0, 1, & - ! 1st type prismatic systems <11.0>{10.0} (independent of c/a-ratio) - 2, -1, -1, 0, 0, 1, -1, 0, & - -1, 2, -1, 0, -1, 0, 1, 0, & - -1, -1, 2, 0, 1, -1, 0, 0, & - ! 2nd type prismatic systems <10.0>{11.0} -- a slip; plane normals independent of c/a-ratio - 0, 1, -1, 0, 2, -1, -1, 0, & - -1, 0, 1, 0, -1, 2, -1, 0, & - 1, -1, 0, 0, -1, -1, 2, 0, & - ! 1st type 1st order pyramidal systems <11.0>{-11.1} -- plane normals depend on the c/a-ratio - 2, -1, -1, 0, 0, 1, -1, 1, & - -1, 2, -1, 0, -1, 0, 1, 1, & - -1, -1, 2, 0, 1, -1, 0, 1, & - 1, 1, -2, 0, -1, 1, 0, 1, & - -2, 1, 1, 0, 0, -1, 1, 1, & - 1, -2, 1, 0, 1, 0, -1, 1, & - ! pyramidal system: c+a slip <11.3>{-10.1} -- plane normals depend on the c/a-ratio - 2, -1, -1, 3, -1, 1, 0, 1, & - 1, -2, 1, 3, -1, 1, 0, 1, & - -1, -1, 2, 3, 1, 0, -1, 1, & - -2, 1, 1, 3, 1, 0, -1, 1, & - -1, 2, -1, 3, 0, -1, 1, 1, & - 1, 1, -2, 3, 0, -1, 1, 1, & - -2, 1, 1, 3, 1, -1, 0, 1, & - -1, 2, -1, 3, 1, -1, 0, 1, & - 1, 1, -2, 3, -1, 0, 1, 1, & - 2, -1, -1, 3, -1, 0, 1, 1, & - 1, -2, 1, 3, 0, 1, -1, 1, & - -1, -1, 2, 3, 0, 1, -1, 1, & - ! pyramidal system: c+a slip <11.3>{-1-1.2} -- as for hexagonal ice (Castelnau et al. 1996, similar to twin system found below) - 2, -1, -1, 3, -2, 1, 1, 2, & ! sorted according to similar twin system - -1, 2, -1, 3, 1, -2, 1, 2, & ! <11.3>{-1-1.2} shear = 2((c/a)^2-2)/(3 c/a) - -1, -1, 2, 3, 1, 1, -2, 2, & - -2, 1, 1, 3, 2, -1, -1, 2, & - 1, -2, 1, 3, -1, 2, -1, 2, & - 1, 1, -2, 3, -1, -1, 2, 2 & - ],pReal),shape(LATTICE_HEX_SYSTEMSLIP)) !< slip systems for hex sorted by A. Alankar & P. Eisenlohr - - character(len=*), dimension(6), parameter, private :: LATTICE_HEX_SLIPFAMILY_NAME = & - ['<1 1 . 1>{0 0 . 1} ', & - '<1 1 . 1>{1 0 . 0} ', & - '<1 0 . 0>{1 1 . 0} ', & - '<1 1 . 0>{-1 1 . 1} ', & - '<1 1 . 3>{-1 0 . 1} ', & - '<1 1 . 3>{-1 -1 . 2}'] - - real(pReal), dimension(4+4,LATTICE_HEX_NTWIN), parameter, private :: & - LATTICE_HEX_SYSTEMTWIN = reshape(real([& - ! Compression or Tension =f(twinning shear=f(c/a)) for each metal ! (according to Yoo 1981) - 1, -1, 0, 1, -1, 1, 0, 2, & ! <-10.1>{10.2} shear = (3-(c/a)^2)/(sqrt(3) c/a) - -1, 0, 1, 1, 1, 0, -1, 2, & - 0, 1, -1, 1, 0, -1, 1, 2, & - -1, 1, 0, 1, 1, -1, 0, 2, & - 1, 0, -1, 1, -1, 0, 1, 2, & - 0, -1, 1, 1, 0, 1, -1, 2, & + integer, dimension(6), parameter, private :: & + LATTICE_HEX_NSLIPSYSTEM = [3, 3, 3, 6, 12, 6] !< # of slip systems per family for hex + + integer, dimension(4), parameter, private :: & + LATTICE_HEX_NTWINSYSTEM = [6, 6, 6, 6] !< # of slip systems per family for hex + + integer, dimension(1), parameter, private :: & + LATTICE_HEX_NCLEAVAGESYSTEM = [3] !< # of cleavage systems per family for hex + + integer, parameter, private :: & + LATTICE_HEX_NSLIP = sum(LATTICE_HEX_NSLIPSYSTEM), & !< total # of slip systems for hex + LATTICE_HEX_NTWIN = sum(LATTICE_HEX_NTWINSYSTEM), & !< total # of twin systems for hex + LATTICE_HEX_NCLEAVAGE = sum(LATTICE_HEX_NCLEAVAGESYSTEM) !< total # of cleavage systems for hex + + real(pReal), dimension(4+4,LATTICE_HEX_NSLIP), parameter, private :: & + LATTICE_HEX_SYSTEMSLIP = reshape(real([& + ! Slip direction Plane normal + ! Basal systems <11.0>{00.1} (independent of c/a-ratio, Bravais notation (4 coordinate base)) + 2, -1, -1, 0, 0, 0, 0, 1, & + -1, 2, -1, 0, 0, 0, 0, 1, & + -1, -1, 2, 0, 0, 0, 0, 1, & + ! 1st type prismatic systems <11.0>{10.0} (independent of c/a-ratio) + 2, -1, -1, 0, 0, 1, -1, 0, & + -1, 2, -1, 0, -1, 0, 1, 0, & + -1, -1, 2, 0, 1, -1, 0, 0, & + ! 2nd type prismatic systems <10.0>{11.0} -- a slip; plane normals independent of c/a-ratio + 0, 1, -1, 0, 2, -1, -1, 0, & + -1, 0, 1, 0, -1, 2, -1, 0, & + 1, -1, 0, 0, -1, -1, 2, 0, & + ! 1st type 1st order pyramidal systems <11.0>{-11.1} -- plane normals depend on the c/a-ratio + 2, -1, -1, 0, 0, 1, -1, 1, & + -1, 2, -1, 0, -1, 0, 1, 1, & + -1, -1, 2, 0, 1, -1, 0, 1, & + 1, 1, -2, 0, -1, 1, 0, 1, & + -2, 1, 1, 0, 0, -1, 1, 1, & + 1, -2, 1, 0, 1, 0, -1, 1, & + ! pyramidal system: c+a slip <11.3>{-10.1} -- plane normals depend on the c/a-ratio + 2, -1, -1, 3, -1, 1, 0, 1, & + 1, -2, 1, 3, -1, 1, 0, 1, & + -1, -1, 2, 3, 1, 0, -1, 1, & + -2, 1, 1, 3, 1, 0, -1, 1, & + -1, 2, -1, 3, 0, -1, 1, 1, & + 1, 1, -2, 3, 0, -1, 1, 1, & + -2, 1, 1, 3, 1, -1, 0, 1, & + -1, 2, -1, 3, 1, -1, 0, 1, & + 1, 1, -2, 3, -1, 0, 1, 1, & + 2, -1, -1, 3, -1, 0, 1, 1, & + 1, -2, 1, 3, 0, 1, -1, 1, & + -1, -1, 2, 3, 0, 1, -1, 1, & + ! pyramidal system: c+a slip <11.3>{-1-1.2} -- as for hexagonal ice (Castelnau et al. 1996, similar to twin system found below) + 2, -1, -1, 3, -2, 1, 1, 2, & ! sorted according to similar twin system + -1, 2, -1, 3, 1, -2, 1, 2, & ! <11.3>{-1-1.2} shear = 2((c/a)^2-2)/(3 c/a) + -1, -1, 2, 3, 1, 1, -2, 2, & + -2, 1, 1, 3, 2, -1, -1, 2, & + 1, -2, 1, 3, -1, 2, -1, 2, & + 1, 1, -2, 3, -1, -1, 2, 2 & + ],pReal),shape(LATTICE_HEX_SYSTEMSLIP)) !< slip systems for hex sorted by A. Alankar & P. Eisenlohr + + character(len=*), dimension(6), parameter, private :: LATTICE_HEX_SLIPFAMILY_NAME = & + ['<1 1 . 1>{0 0 . 1} ', & + '<1 1 . 1>{1 0 . 0} ', & + '<1 0 . 0>{1 1 . 0} ', & + '<1 1 . 0>{-1 1 . 1} ', & + '<1 1 . 3>{-1 0 . 1} ', & + '<1 1 . 3>{-1 -1 . 2}'] + + real(pReal), dimension(4+4,LATTICE_HEX_NTWIN), parameter, private :: & + LATTICE_HEX_SYSTEMTWIN = reshape(real([& + ! Compression or Tension =f(twinning shear=f(c/a)) for each metal ! (according to Yoo 1981) + 1, -1, 0, 1, -1, 1, 0, 2, & ! <-10.1>{10.2} shear = (3-(c/a)^2)/(sqrt(3) c/a) + -1, 0, 1, 1, 1, 0, -1, 2, & + 0, 1, -1, 1, 0, -1, 1, 2, & + -1, 1, 0, 1, 1, -1, 0, 2, & + 1, 0, -1, 1, -1, 0, 1, 2, & + 0, -1, 1, 1, 0, 1, -1, 2, & ! - 2, -1, -1, 6, -2, 1, 1, 1, & ! <11.6>{-1-1.1} shear = 1/(c/a) - -1, 2, -1, 6, 1, -2, 1, 1, & - -1, -1, 2, 6, 1, 1, -2, 1, & - -2, 1, 1, 6, 2, -1, -1, 1, & - 1, -2, 1, 6, -1, 2, -1, 1, & - 1, 1, -2, 6, -1, -1, 2, 1, & + 2, -1, -1, 6, -2, 1, 1, 1, & ! <11.6>{-1-1.1} shear = 1/(c/a) + -1, 2, -1, 6, 1, -2, 1, 1, & + -1, -1, 2, 6, 1, 1, -2, 1, & + -2, 1, 1, 6, 2, -1, -1, 1, & + 1, -2, 1, 6, -1, 2, -1, 1, & + 1, 1, -2, 6, -1, -1, 2, 1, & ! - -1, 1, 0, -2, -1, 1, 0, 1, & !! <10.-2>{10.1} shear = (4(c/a)^2-9)/(4 sqrt(3) c/a) - 1, 0, -1, -2, 1, 0, -1, 1, & - 0, -1, 1, -2, 0, -1, 1, 1, & - 1, -1, 0, -2, 1, -1, 0, 1, & - -1, 0, 1, -2, -1, 0, 1, 1, & - 0, 1, -1, -2, 0, 1, -1, 1, & + -1, 1, 0, -2, -1, 1, 0, 1, & !! <10.-2>{10.1} shear = (4(c/a)^2-9)/(4 sqrt(3) c/a) + 1, 0, -1, -2, 1, 0, -1, 1, & + 0, -1, 1, -2, 0, -1, 1, 1, & + 1, -1, 0, -2, 1, -1, 0, 1, & + -1, 0, 1, -2, -1, 0, 1, 1, & + 0, 1, -1, -2, 0, 1, -1, 1, & ! - 2, -1, -1, -3, 2, -1, -1, 2, & ! <11.-3>{11.2} shear = 2((c/a)^2-2)/(3 c/a) - -1, 2, -1, -3, -1, 2, -1, 2, & - -1, -1, 2, -3, -1, -1, 2, 2, & - -2, 1, 1, -3, -2, 1, 1, 2, & - 1, -2, 1, -3, 1, -2, 1, 2, & - 1, 1, -2, -3, 1, 1, -2, 2 & - ],pReal),shape(LATTICE_HEX_SYSTEMTWIN)) !< twin systems for hex, order follows Prof. Tom Bieler's scheme - - character(len=*), dimension(4), parameter, private :: LATTICE_HEX_TWINFAMILY_NAME = & - ['<-1 0 . 1>{1 0 . 2} ', & - '<1 1 . 6>{-1 -1 . 1}', & - '<1 0 . -2>{1 0 . 1} ', & - '<1 1 . -3>{1 1 . 2} '] - - real(pReal), dimension(4+4,LATTICE_HEX_NCLEAVAGE), parameter, private :: & - LATTICE_HEX_SYSTEMCLEAVAGE = reshape(real([& - ! Cleavage direction Plane normal - 2,-1,-1, 0, 0, 0, 0, 1, & - 0, 0, 0, 1, 2,-1,-1, 0, & - 0, 0, 0, 1, 0, 1,-1, 0 & - ],pReal),shape(LATTICE_HEX_SYSTEMCLEAVAGE)) - - + 2, -1, -1, -3, 2, -1, -1, 2, & ! <11.-3>{11.2} shear = 2((c/a)^2-2)/(3 c/a) + -1, 2, -1, -3, -1, 2, -1, 2, & + -1, -1, 2, -3, -1, -1, 2, 2, & + -2, 1, 1, -3, -2, 1, 1, 2, & + 1, -2, 1, -3, 1, -2, 1, 2, & + 1, 1, -2, -3, 1, 1, -2, 2 & + ],pReal),shape(LATTICE_HEX_SYSTEMTWIN)) !< twin systems for hex, order follows Prof. Tom Bieler's scheme + + character(len=*), dimension(4), parameter, private :: LATTICE_HEX_TWINFAMILY_NAME = & + ['<-1 0 . 1>{1 0 . 2} ', & + '<1 1 . 6>{-1 -1 . 1}', & + '<1 0 . -2>{1 0 . 1} ', & + '<1 1 . -3>{1 1 . 2} '] + + real(pReal), dimension(4+4,LATTICE_HEX_NCLEAVAGE), parameter, private :: & + LATTICE_HEX_SYSTEMCLEAVAGE = reshape(real([& + ! Cleavage direction Plane normal + 2,-1,-1, 0, 0, 0, 0, 1, & + 0, 0, 0, 1, 2,-1,-1, 0, & + 0, 0, 0, 1, 0, 1,-1, 0 & + ],pReal),shape(LATTICE_HEX_SYSTEMCLEAVAGE)) + + !-------------------------------------------------------------------------------------------------- ! body centered tetragonal - integer, dimension(13), parameter, private :: & - LATTICE_BCT_NSLIPSYSTEM = [2, 2, 2, 4, 2, 4, 2, 2, 4, 8, 4, 8, 8 ] !< # of slip systems per family for bct (Sn) Bieler J. Electr Mater 2009 - - integer, parameter, private :: & - LATTICE_BCT_NSLIP = sum(LATTICE_BCT_NSLIPSYSTEM) !< total # of slip systems for bct - - real(pReal), dimension(3+3,LATTICE_BCT_NSLIP), parameter, private :: & - LATTICE_BCT_SYSTEMSLIP = reshape(real([& - ! Slip direction Plane normal - ! Slip family 1 {100)<001] (Bravais notation {hkl) @brief Module initialization !-------------------------------------------------------------------------------------------------- subroutine lattice_init - use IO, only: & - IO_error - use config, only: & - config_phase - - implicit none - integer :: Nphases - character(len=65536) :: & - tag = '' - integer :: i,p - real(pReal), dimension(:), allocatable :: & - temp, & - CoverA !< c/a ratio for low symmetry type lattice - - write(6,'(/,a)') ' <<<+- lattice init -+>>>' - - Nphases = size(config_phase) - - allocate(lattice_structure(Nphases),source = LATTICE_undefined_ID) - allocate(trans_lattice_structure(Nphases),source = LATTICE_undefined_ID) - allocate(lattice_C66(6,6,Nphases), source=0.0_pReal) - allocate(lattice_C3333(3,3,3,3,Nphases), source=0.0_pReal) + use IO, only: & + IO_error + use config, only: & + config_phase + + integer :: Nphases + character(len=65536) :: & + tag = '' + integer :: i,p + real(pReal), dimension(:), allocatable :: & + temp, & + CoverA !< c/a ratio for low symmetry type lattice + + write(6,'(/,a)') ' <<<+- lattice init -+>>>' + + Nphases = size(config_phase) + + allocate(lattice_structure(Nphases),source = LATTICE_undefined_ID) + allocate(trans_lattice_structure(Nphases),source = LATTICE_undefined_ID) + allocate(lattice_C66(6,6,Nphases), source=0.0_pReal) + allocate(lattice_C3333(3,3,3,3,Nphases), source=0.0_pReal) + + allocate(lattice_thermalExpansion33 (3,3,3,Nphases), source=0.0_pReal) ! constant, linear, quadratic coefficients + allocate(lattice_thermalConductivity33 (3,3,Nphases), source=0.0_pReal) + allocate(lattice_damageDiffusion33 (3,3,Nphases), source=0.0_pReal) + allocate(lattice_damageMobility ( Nphases), source=0.0_pReal) + allocate(lattice_massDensity ( Nphases), source=0.0_pReal) + allocate(lattice_specificHeat ( Nphases), source=0.0_pReal) + allocate(lattice_referenceTemperature ( Nphases), source=300.0_pReal) + + allocate(lattice_mu(Nphases), source=0.0_pReal) + allocate(lattice_nu(Nphases), source=0.0_pReal) + + + allocate(lattice_Scleavage(3,3,3,lattice_maxNcleavage,Nphases),source=0.0_pReal) + allocate(lattice_NcleavageSystem(lattice_maxNcleavageFamily,Nphases),source=0) + + allocate(CoverA(Nphases),source=0.0_pReal) + + do p = 1, size(config_phase) + tag = config_phase(p)%getString('lattice_structure') + select case(trim(tag(1:3))) + case('iso') + lattice_structure(p) = LATTICE_iso_ID + case('fcc') + lattice_structure(p) = LATTICE_fcc_ID + case('bcc') + lattice_structure(p) = LATTICE_bcc_ID + case('hex') + lattice_structure(p) = LATTICE_hex_ID + case('bct') + lattice_structure(p) = LATTICE_bct_ID + case('ort') + lattice_structure(p) = LATTICE_ort_ID + end select + + tag = 'undefined' + tag = config_phase(p)%getString('trans_lattice_structure',defaultVal=tag) + select case(trim(tag)) + case('bcc') + trans_lattice_structure(p) = LATTICE_bcc_ID + case('hex','hexagonal') + trans_lattice_structure(p) = LATTICE_hex_ID + end select + + lattice_C66(1,1,p) = config_phase(p)%getFloat('c11',defaultVal=0.0_pReal) + lattice_C66(1,2,p) = config_phase(p)%getFloat('c12',defaultVal=0.0_pReal) + lattice_C66(1,3,p) = config_phase(p)%getFloat('c13',defaultVal=0.0_pReal) + lattice_C66(2,2,p) = config_phase(p)%getFloat('c22',defaultVal=0.0_pReal) + lattice_C66(2,3,p) = config_phase(p)%getFloat('c23',defaultVal=0.0_pReal) + lattice_C66(3,3,p) = config_phase(p)%getFloat('c33',defaultVal=0.0_pReal) + lattice_C66(4,4,p) = config_phase(p)%getFloat('c44',defaultVal=0.0_pReal) + lattice_C66(5,5,p) = config_phase(p)%getFloat('c55',defaultVal=0.0_pReal) + lattice_C66(6,6,p) = config_phase(p)%getFloat('c66',defaultVal=0.0_pReal) + + + CoverA(p) = config_phase(p)%getFloat('c/a',defaultVal=0.0_pReal) + + lattice_thermalConductivity33(1,1,p) = config_phase(p)%getFloat('thermal_conductivity11',defaultVal=0.0_pReal) + lattice_thermalConductivity33(2,2,p) = config_phase(p)%getFloat('thermal_conductivity22',defaultVal=0.0_pReal) + lattice_thermalConductivity33(3,3,p) = config_phase(p)%getFloat('thermal_conductivity33',defaultVal=0.0_pReal) + + temp = config_phase(p)%getFloats('thermal_expansion11',defaultVal=[0.0_pReal]) ! read up to three parameters (constant, linear, quadratic with T) + lattice_thermalExpansion33(1,1,1:size(temp),p) = temp + temp = config_phase(p)%getFloats('thermal_expansion22',defaultVal=[0.0_pReal]) ! read up to three parameters (constant, linear, quadratic with T) + lattice_thermalExpansion33(2,2,1:size(temp),p) = temp + temp = config_phase(p)%getFloats('thermal_expansion33',defaultVal=[0.0_pReal]) ! read up to three parameters (constant, linear, quadratic with T) + lattice_thermalExpansion33(3,3,1:size(temp),p) = temp + + lattice_specificHeat(p) = config_phase(p)%getFloat( 'specific_heat',defaultVal=0.0_pReal) + lattice_massDensity(p) = config_phase(p)%getFloat( 'mass_density',defaultVal=0.0_pReal) + lattice_referenceTemperature(p) = config_phase(p)%getFloat( 'reference_temperature',defaultVal=0.0_pReal) + lattice_DamageDiffusion33(1,1,p) = config_phase(p)%getFloat( 'damage_diffusion11',defaultVal=0.0_pReal) + lattice_DamageDiffusion33(2,2,p) = config_phase(p)%getFloat( 'damage_diffusion22',defaultVal=0.0_pReal) + lattice_DamageDiffusion33(3,3,p) = config_phase(p)%getFloat( 'damage_diffusion33',defaultVal=0.0_pReal) + lattice_DamageMobility(p) = config_phase(p)%getFloat( 'damage_mobility',defaultVal=0.0_pReal) + enddo + + do i = 1,Nphases + if ((CoverA(i) < 1.0_pReal .or. CoverA(i) > 2.0_pReal) & + .and. lattice_structure(i) == LATTICE_hex_ID) call IO_error(131,el=i) ! checking physical significance of c/a + if ((CoverA(i) > 2.0_pReal) & + .and. lattice_structure(i) == LATTICE_bct_ID) call IO_error(131,el=i) ! checking physical significance of c/a + call lattice_initializeStructure(i, CoverA(i)) + enddo - allocate(lattice_thermalExpansion33 (3,3,3,Nphases), source=0.0_pReal) ! constant, linear, quadratic coefficients - allocate(lattice_thermalConductivity33 (3,3,Nphases), source=0.0_pReal) - allocate(lattice_damageDiffusion33 (3,3,Nphases), source=0.0_pReal) - allocate(lattice_damageMobility ( Nphases), source=0.0_pReal) - allocate(lattice_massDensity ( Nphases), source=0.0_pReal) - allocate(lattice_specificHeat ( Nphases), source=0.0_pReal) - allocate(lattice_referenceTemperature ( Nphases), source=300.0_pReal) - - allocate(lattice_mu(Nphases), source=0.0_pReal) - allocate(lattice_nu(Nphases), source=0.0_pReal) - - - allocate(lattice_Scleavage(3,3,3,lattice_maxNcleavage,Nphases),source=0.0_pReal) - allocate(lattice_NcleavageSystem(lattice_maxNcleavageFamily,Nphases),source=0) - - allocate(CoverA(Nphases),source=0.0_pReal) - - do p = 1, size(config_phase) - tag = config_phase(p)%getString('lattice_structure') - select case(trim(tag(1:3))) - case('iso') - lattice_structure(p) = LATTICE_iso_ID - case('fcc') - lattice_structure(p) = LATTICE_fcc_ID - case('bcc') - lattice_structure(p) = LATTICE_bcc_ID - case('hex') - lattice_structure(p) = LATTICE_hex_ID - case('bct') - lattice_structure(p) = LATTICE_bct_ID - case('ort') - lattice_structure(p) = LATTICE_ort_ID - end select - - tag = 'undefined' - tag = config_phase(p)%getString('trans_lattice_structure',defaultVal=tag) - select case(trim(tag)) - case('bcc') - trans_lattice_structure(p) = LATTICE_bcc_ID - case('hex','hexagonal') - trans_lattice_structure(p) = LATTICE_hex_ID - end select - - lattice_C66(1,1,p) = config_phase(p)%getFloat('c11',defaultVal=0.0_pReal) - lattice_C66(1,2,p) = config_phase(p)%getFloat('c12',defaultVal=0.0_pReal) - lattice_C66(1,3,p) = config_phase(p)%getFloat('c13',defaultVal=0.0_pReal) - lattice_C66(2,2,p) = config_phase(p)%getFloat('c22',defaultVal=0.0_pReal) - lattice_C66(2,3,p) = config_phase(p)%getFloat('c23',defaultVal=0.0_pReal) - lattice_C66(3,3,p) = config_phase(p)%getFloat('c33',defaultVal=0.0_pReal) - lattice_C66(4,4,p) = config_phase(p)%getFloat('c44',defaultVal=0.0_pReal) - lattice_C66(5,5,p) = config_phase(p)%getFloat('c55',defaultVal=0.0_pReal) - lattice_C66(6,6,p) = config_phase(p)%getFloat('c66',defaultVal=0.0_pReal) - - - CoverA(p) = config_phase(p)%getFloat('c/a',defaultVal=0.0_pReal) - - lattice_thermalConductivity33(1,1,p) = config_phase(p)%getFloat('thermal_conductivity11',defaultVal=0.0_pReal) - lattice_thermalConductivity33(2,2,p) = config_phase(p)%getFloat('thermal_conductivity22',defaultVal=0.0_pReal) - lattice_thermalConductivity33(3,3,p) = config_phase(p)%getFloat('thermal_conductivity33',defaultVal=0.0_pReal) - - temp = config_phase(p)%getFloats('thermal_expansion11',defaultVal=[0.0_pReal]) ! read up to three parameters (constant, linear, quadratic with T) - lattice_thermalExpansion33(1,1,1:size(temp),p) = temp - temp = config_phase(p)%getFloats('thermal_expansion22',defaultVal=[0.0_pReal]) ! read up to three parameters (constant, linear, quadratic with T) - lattice_thermalExpansion33(2,2,1:size(temp),p) = temp - temp = config_phase(p)%getFloats('thermal_expansion33',defaultVal=[0.0_pReal]) ! read up to three parameters (constant, linear, quadratic with T) - lattice_thermalExpansion33(3,3,1:size(temp),p) = temp - - lattice_specificHeat(p) = config_phase(p)%getFloat( 'specific_heat',defaultVal=0.0_pReal) - lattice_massDensity(p) = config_phase(p)%getFloat( 'mass_density',defaultVal=0.0_pReal) - lattice_referenceTemperature(p) = config_phase(p)%getFloat( 'reference_temperature',defaultVal=0.0_pReal) - lattice_DamageDiffusion33(1,1,p) = config_phase(p)%getFloat( 'damage_diffusion11',defaultVal=0.0_pReal) - lattice_DamageDiffusion33(2,2,p) = config_phase(p)%getFloat( 'damage_diffusion22',defaultVal=0.0_pReal) - lattice_DamageDiffusion33(3,3,p) = config_phase(p)%getFloat( 'damage_diffusion33',defaultVal=0.0_pReal) - lattice_DamageMobility(p) = config_phase(p)%getFloat( 'damage_mobility',defaultVal=0.0_pReal) - enddo - - do i = 1,Nphases - if ((CoverA(i) < 1.0_pReal .or. CoverA(i) > 2.0_pReal) & - .and. lattice_structure(i) == LATTICE_hex_ID) call IO_error(131,el=i) ! checking physical significance of c/a - if ((CoverA(i) > 2.0_pReal) & - .and. lattice_structure(i) == LATTICE_bct_ID) call IO_error(131,el=i) ! checking physical significance of c/a - call lattice_initializeStructure(i, CoverA(i)) - enddo - end subroutine lattice_init - - + + !-------------------------------------------------------------------------------------------------- !> @brief !!!!!!!DEPRECTATED!!!!!! !-------------------------------------------------------------------------------------------------- subroutine lattice_initializeStructure(myPhase,CoverA) - use prec, only: & - tol_math_check - use math, only: & - math_sym3333to66, & - math_Voigt66to3333, & - math_cross - use IO, only: & - IO_error - - implicit none - integer, intent(in) :: myPhase - real(pReal), intent(in) :: & - CoverA - - integer :: & - i, & - myNcleavage - - lattice_C66(1:6,1:6,myPhase) = lattice_symmetrizeC66(lattice_structure(myPhase),& - lattice_C66(1:6,1:6,myPhase)) - - lattice_mu(myPhase) = 0.2_pReal *( lattice_C66(1,1,myPhase) & - - lattice_C66(1,2,myPhase) & - + 3.0_pReal*lattice_C66(4,4,myPhase)) ! (C11iso-C12iso)/2 with C11iso=(3*C11+2*C12+4*C44)/5 and C12iso=(C11+4*C12-2*C44)/5 - lattice_nu(myPhase) = ( lattice_C66(1,1,myPhase) & - + 4.0_pReal*lattice_C66(1,2,myPhase) & - - 2.0_pReal*lattice_C66(4,4,myPhase)) & - /( 4.0_pReal*lattice_C66(1,1,myPhase) & - + 6.0_pReal*lattice_C66(1,2,myPhase) & - + 2.0_pReal*lattice_C66(4,4,myPhase))! C12iso/(C11iso+C12iso) with C11iso=(3*C11+2*C12+4*C44)/5 and C12iso=(C11+4*C12-2*C44)/5 - lattice_C3333(1:3,1:3,1:3,1:3,myPhase) = math_Voigt66to3333(lattice_C66(1:6,1:6,myPhase)) ! Literature data is Voigt - lattice_C66(1:6,1:6,myPhase) = math_sym3333to66(lattice_C3333(1:3,1:3,1:3,1:3,myPhase)) ! DAMASK uses Mandel-weighting - do i = 1, 6 - if (abs(lattice_C66(i,i,myPhase)) @brief Symmetrizes stiffness matrix according to lattice type !> @details J. A. Rayne and B. S. Chandrasekhar Phys. Rev. 120, 1658 Erratum Phys. Rev. 122, 1962 !-------------------------------------------------------------------------------------------------- pure function lattice_symmetrizeC66(struct,C66) - - implicit none - integer(kind(LATTICE_undefined_ID)), intent(in) :: struct - real(pReal), dimension(6,6), intent(in) :: C66 - real(pReal), dimension(6,6) :: lattice_symmetrizeC66 - integer :: j,k - - lattice_symmetrizeC66 = 0.0_pReal - - select case(struct) - case (LATTICE_iso_ID) - forall(k=1:3) - forall(j=1:3) lattice_symmetrizeC66(k,j) = C66(1,2) - lattice_symmetrizeC66(k,k) = C66(1,1) - lattice_symmetrizeC66(k+3,k+3) = 0.5_pReal*(C66(1,1)-C66(1,2)) - end forall - case (LATTICE_fcc_ID,LATTICE_bcc_ID) - forall(k=1:3) - forall(j=1:3) lattice_symmetrizeC66(k,j) = C66(1,2) - lattice_symmetrizeC66(k,k) = C66(1,1) - lattice_symmetrizeC66(k+3,k+3) = C66(4,4) - end forall - case (LATTICE_hex_ID) - lattice_symmetrizeC66(1,1) = C66(1,1) - lattice_symmetrizeC66(2,2) = C66(1,1) - lattice_symmetrizeC66(3,3) = C66(3,3) - lattice_symmetrizeC66(1,2) = C66(1,2) - lattice_symmetrizeC66(2,1) = C66(1,2) - lattice_symmetrizeC66(1,3) = C66(1,3) - lattice_symmetrizeC66(3,1) = C66(1,3) - lattice_symmetrizeC66(2,3) = C66(1,3) - lattice_symmetrizeC66(3,2) = C66(1,3) - lattice_symmetrizeC66(4,4) = C66(4,4) - lattice_symmetrizeC66(5,5) = C66(4,4) - lattice_symmetrizeC66(6,6) = 0.5_pReal*(C66(1,1)-C66(1,2)) - case (LATTICE_ort_ID) - lattice_symmetrizeC66(1,1) = C66(1,1) - lattice_symmetrizeC66(2,2) = C66(2,2) - lattice_symmetrizeC66(3,3) = C66(3,3) - lattice_symmetrizeC66(1,2) = C66(1,2) - lattice_symmetrizeC66(2,1) = C66(1,2) - lattice_symmetrizeC66(1,3) = C66(1,3) - lattice_symmetrizeC66(3,1) = C66(1,3) - lattice_symmetrizeC66(2,3) = C66(2,3) - lattice_symmetrizeC66(3,2) = C66(2,3) - lattice_symmetrizeC66(4,4) = C66(4,4) - lattice_symmetrizeC66(5,5) = C66(5,5) - lattice_symmetrizeC66(6,6) = C66(6,6) - case (LATTICE_bct_ID) - lattice_symmetrizeC66(1,1) = C66(1,1) - lattice_symmetrizeC66(2,2) = C66(1,1) - lattice_symmetrizeC66(3,3) = C66(3,3) - lattice_symmetrizeC66(1,2) = C66(1,2) - lattice_symmetrizeC66(2,1) = C66(1,2) - lattice_symmetrizeC66(1,3) = C66(1,3) - lattice_symmetrizeC66(3,1) = C66(1,3) - lattice_symmetrizeC66(2,3) = C66(1,3) - lattice_symmetrizeC66(3,2) = C66(1,3) - lattice_symmetrizeC66(4,4) = C66(4,4) - lattice_symmetrizeC66(5,5) = C66(4,4) - lattice_symmetrizeC66(6,6) = C66(6,6) - case default - lattice_symmetrizeC66 = C66 - end select - - end function lattice_symmetrizeC66 - - + + integer(kind(LATTICE_undefined_ID)), intent(in) :: struct + real(pReal), dimension(6,6), intent(in) :: C66 + real(pReal), dimension(6,6) :: lattice_symmetrizeC66 + integer :: j,k + + lattice_symmetrizeC66 = 0.0_pReal + + select case(struct) + case (LATTICE_iso_ID) + forall(k=1:3) + forall(j=1:3) lattice_symmetrizeC66(k,j) = C66(1,2) + lattice_symmetrizeC66(k,k) = C66(1,1) + lattice_symmetrizeC66(k+3,k+3) = 0.5_pReal*(C66(1,1)-C66(1,2)) + end forall + case (LATTICE_fcc_ID,LATTICE_bcc_ID) + forall(k=1:3) + forall(j=1:3) lattice_symmetrizeC66(k,j) = C66(1,2) + lattice_symmetrizeC66(k,k) = C66(1,1) + lattice_symmetrizeC66(k+3,k+3) = C66(4,4) + end forall + case (LATTICE_hex_ID) + lattice_symmetrizeC66(1,1) = C66(1,1) + lattice_symmetrizeC66(2,2) = C66(1,1) + lattice_symmetrizeC66(3,3) = C66(3,3) + lattice_symmetrizeC66(1,2) = C66(1,2) + lattice_symmetrizeC66(2,1) = C66(1,2) + lattice_symmetrizeC66(1,3) = C66(1,3) + lattice_symmetrizeC66(3,1) = C66(1,3) + lattice_symmetrizeC66(2,3) = C66(1,3) + lattice_symmetrizeC66(3,2) = C66(1,3) + lattice_symmetrizeC66(4,4) = C66(4,4) + lattice_symmetrizeC66(5,5) = C66(4,4) + lattice_symmetrizeC66(6,6) = 0.5_pReal*(C66(1,1)-C66(1,2)) + case (LATTICE_ort_ID) + lattice_symmetrizeC66(1,1) = C66(1,1) + lattice_symmetrizeC66(2,2) = C66(2,2) + lattice_symmetrizeC66(3,3) = C66(3,3) + lattice_symmetrizeC66(1,2) = C66(1,2) + lattice_symmetrizeC66(2,1) = C66(1,2) + lattice_symmetrizeC66(1,3) = C66(1,3) + lattice_symmetrizeC66(3,1) = C66(1,3) + lattice_symmetrizeC66(2,3) = C66(2,3) + lattice_symmetrizeC66(3,2) = C66(2,3) + lattice_symmetrizeC66(4,4) = C66(4,4) + lattice_symmetrizeC66(5,5) = C66(5,5) + lattice_symmetrizeC66(6,6) = C66(6,6) + case (LATTICE_bct_ID) + lattice_symmetrizeC66(1,1) = C66(1,1) + lattice_symmetrizeC66(2,2) = C66(1,1) + lattice_symmetrizeC66(3,3) = C66(3,3) + lattice_symmetrizeC66(1,2) = C66(1,2) + lattice_symmetrizeC66(2,1) = C66(1,2) + lattice_symmetrizeC66(1,3) = C66(1,3) + lattice_symmetrizeC66(3,1) = C66(1,3) + lattice_symmetrizeC66(2,3) = C66(1,3) + lattice_symmetrizeC66(3,2) = C66(1,3) + lattice_symmetrizeC66(4,4) = C66(4,4) + lattice_symmetrizeC66(5,5) = C66(4,4) + lattice_symmetrizeC66(6,6) = C66(6,6) + case default + lattice_symmetrizeC66 = C66 + end select + +end function lattice_symmetrizeC66 + + !-------------------------------------------------------------------------------------------------- !> @brief Symmetrizes 2nd order tensor according to lattice type !-------------------------------------------------------------------------------------------------- pure function lattice_symmetrize33(struct,T33) - - implicit none - integer(kind(LATTICE_undefined_ID)), intent(in) :: struct - real(pReal), dimension(3,3), intent(in) :: T33 - real(pReal), dimension(3,3) :: lattice_symmetrize33 - integer :: k - - lattice_symmetrize33 = 0.0_pReal - - select case(struct) - case (LATTICE_iso_ID,LATTICE_fcc_ID,LATTICE_bcc_ID) - forall(k=1:3) lattice_symmetrize33(k,k) = T33(1,1) - case (LATTICE_hex_ID) - lattice_symmetrize33(1,1) = T33(1,1) - lattice_symmetrize33(2,2) = T33(1,1) - lattice_symmetrize33(3,3) = T33(3,3) - case (LATTICE_ort_ID,lattice_bct_ID) - lattice_symmetrize33(1,1) = T33(1,1) - lattice_symmetrize33(2,2) = T33(2,2) - lattice_symmetrize33(3,3) = T33(3,3) - case default - lattice_symmetrize33 = T33 - end select - - end function lattice_symmetrize33 - - + + integer(kind(LATTICE_undefined_ID)), intent(in) :: struct + real(pReal), dimension(3,3), intent(in) :: T33 + real(pReal), dimension(3,3) :: lattice_symmetrize33 + integer :: k + + lattice_symmetrize33 = 0.0_pReal + + select case(struct) + case (LATTICE_iso_ID,LATTICE_fcc_ID,LATTICE_bcc_ID) + forall(k=1:3) lattice_symmetrize33(k,k) = T33(1,1) + case (LATTICE_hex_ID) + lattice_symmetrize33(1,1) = T33(1,1) + lattice_symmetrize33(2,2) = T33(1,1) + lattice_symmetrize33(3,3) = T33(3,3) + case (LATTICE_ort_ID,lattice_bct_ID) + lattice_symmetrize33(1,1) = T33(1,1) + lattice_symmetrize33(2,2) = T33(2,2) + lattice_symmetrize33(3,3) = T33(3,3) + case default + lattice_symmetrize33 = T33 + end select + +end function lattice_symmetrize33 + + !-------------------------------------------------------------------------------------------------- !> @brief figures whether unit quat falls into stereographic standard triangle !-------------------------------------------------------------------------------------------------- logical pure function lattice_qInSST(Q, struct) - use, intrinsic :: & - IEEE_arithmetic - use math, only: & - math_qToRodrig - - implicit none - real(pReal), dimension(4), intent(in) :: Q ! orientation - integer(kind(LATTICE_undefined_ID)), intent(in) :: struct ! lattice structure - real(pReal), dimension(3) :: Rodrig ! Rodrigues vector of Q - - Rodrig = math_qToRodrig(Q) - if (any(IEEE_is_NaN(Rodrig))) then - lattice_qInSST = .false. - else - select case (struct) - case (LATTICE_bcc_ID,LATTICE_fcc_ID) - lattice_qInSST = Rodrig(1) > Rodrig(2) .and. & - Rodrig(2) > Rodrig(3) .and. & - Rodrig(3) > 0.0_pReal - case (LATTICE_hex_ID) - lattice_qInSST = Rodrig(1) > sqrt(3.0_pReal)*Rodrig(2) .and. & - Rodrig(2) > 0.0_pReal .and. & - Rodrig(3) > 0.0_pReal - case default - lattice_qInSST = .true. - end select - endif - + use, intrinsic :: & + IEEE_arithmetic + use math, only: & + math_qToRodrig + + real(pReal), dimension(4), intent(in) :: Q ! orientation + integer(kind(LATTICE_undefined_ID)), intent(in) :: struct ! lattice structure + real(pReal), dimension(3) :: Rodrig ! Rodrigues vector of Q + + Rodrig = math_qToRodrig(Q) + if (any(IEEE_is_NaN(Rodrig))) then + lattice_qInSST = .false. + else + select case (struct) + case (LATTICE_bcc_ID,LATTICE_fcc_ID) + lattice_qInSST = Rodrig(1) > Rodrig(2) .and. & + Rodrig(2) > Rodrig(3) .and. & + Rodrig(3) > 0.0_pReal + case (LATTICE_hex_ID) + lattice_qInSST = Rodrig(1) > sqrt(3.0_pReal)*Rodrig(2) .and. & + Rodrig(2) > 0.0_pReal .and. & + Rodrig(3) > 0.0_pReal + case default + lattice_qInSST = .true. + end select + endif + end function lattice_qInSST - - + + !-------------------------------------------------------------------------------------------------- !> @brief calculates the disorientation for 2 unit quaternions !-------------------------------------------------------------------------------------------------- pure function lattice_qDisorientation(Q1, Q2, struct) - use prec, only: & - tol_math_check - use math, only: & - math_qMul, & - math_qConj - - implicit none - real(pReal), dimension(4) :: lattice_qDisorientation - real(pReal), dimension(4), intent(in) :: & - Q1, & ! 1st orientation - Q2 ! 2nd orientation - integer(kind(LATTICE_undefined_ID)), optional, intent(in) :: & ! if given, symmetries between the two orientation will be considered - struct - - real(pReal), dimension(4) :: dQ,dQsymA,mis - integer :: i,j,k,s,symmetry - integer(kind(LATTICE_undefined_ID)) :: myStruct - - integer, dimension(2), parameter :: & - NsymOperations = [24,12] - -real(pReal), dimension(4,36), parameter :: & - symOperations = reshape([& - 1.0_pReal, 0.0_pReal, 0.0_pReal, 0.0_pReal, & ! cubic symmetry operations - 0.0_pReal, 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), 1.0_pReal/sqrt(2.0_pReal), & ! 2-fold symmetry - 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), & - 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, & - 0.0_pReal, 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), -1.0_pReal/sqrt(2.0_pReal), & - 0.0_pReal, -1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), & - 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), -1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, & - 0.5_pReal, 0.5_pReal, 0.5_pReal, 0.5_pReal, & ! 3-fold symmetry - -0.5_pReal, 0.5_pReal, 0.5_pReal, 0.5_pReal, & - 0.5_pReal, -0.5_pReal, 0.5_pReal, 0.5_pReal, & - -0.5_pReal, -0.5_pReal, 0.5_pReal, 0.5_pReal, & - 0.5_pReal, 0.5_pReal, -0.5_pReal, 0.5_pReal, & - -0.5_pReal, 0.5_pReal, -0.5_pReal, 0.5_pReal, & - 0.5_pReal, 0.5_pReal, 0.5_pReal, -0.5_pReal, & - -0.5_pReal, 0.5_pReal, 0.5_pReal, -0.5_pReal, & - 1.0_pReal/sqrt(2.0_pReal), 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 0.0_pReal, & ! 4-fold symmetry - 0.0_pReal, 1.0_pReal, 0.0_pReal, 0.0_pReal, & - -1.0_pReal/sqrt(2.0_pReal), 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 0.0_pReal, & - 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, & - 0.0_pReal, 0.0_pReal, 1.0_pReal, 0.0_pReal, & - -1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, & - 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), & - 0.0_pReal, 0.0_pReal, 0.0_pReal, 1.0_pReal, & - -1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), & -! - 1.0_pReal, 0.0_pReal, 0.0_pReal, 0.0_pReal, & ! hexagonal symmetry operations - 0.0_pReal, 1.0_pReal, 0.0_pReal, 0.0_pReal, & ! 2-fold symmetry - 0.0_pReal, 0.0_pReal, 1.0_pReal, 0.0_pReal, & - 0.0_pReal, 0.5_pReal, 2.0_pReal/sqrt(3.0_pReal), 0.0_pReal, & - 0.0_pReal, -0.5_pReal, 2.0_pReal/sqrt(3.0_pReal), 0.0_pReal, & - 0.0_pReal, 2.0_pReal/sqrt(3.0_pReal), 0.5_pReal, 0.0_pReal, & - 0.0_pReal, -2.0_pReal/sqrt(3.0_pReal), 0.5_pReal, 0.0_pReal, & - 2.0_pReal/sqrt(3.0_pReal), 0.0_pReal, 0.0_pReal, 0.5_pReal, & ! 6-fold symmetry - -2.0_pReal/sqrt(3.0_pReal), 0.0_pReal, 0.0_pReal, 0.5_pReal, & - 0.5_pReal, 0.0_pReal, 0.0_pReal, 2.0_pReal/sqrt(3.0_pReal), & - -0.5_pReal, 0.0_pReal, 0.0_pReal, 2.0_pReal/sqrt(3.0_pReal), & - 0.0_pReal, 0.0_pReal, 0.0_pReal, 1.0_pReal & - ],[4,36]) !< Symmetry operations as quaternions 24 for cubic, 12 for hexagonal = 36 - + use prec, only: & + tol_math_check + use math, only: & + math_qMul, & + math_qConj + + real(pReal), dimension(4) :: lattice_qDisorientation + real(pReal), dimension(4), intent(in) :: & + Q1, & !< 1st orientation + Q2 !< 2nd orientation + integer(kind(LATTICE_undefined_ID)), optional, intent(in) :: & !< if given, symmetries between the two orientation will be considered + struct + + real(pReal), dimension(4) :: dQ,dQsymA,mis + integer :: i,j,k,s,symmetry + integer(kind(LATTICE_undefined_ID)) :: myStruct + + integer, dimension(2), parameter :: & + NsymOperations = [24,12] + + real(pReal), dimension(4,36), parameter :: & + symOperations = reshape([& + 1.0_pReal, 0.0_pReal, 0.0_pReal, 0.0_pReal, & ! cubic symmetry operations + 0.0_pReal, 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), 1.0_pReal/sqrt(2.0_pReal), & ! 2-fold symmetry + 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), & + 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, & + 0.0_pReal, 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), -1.0_pReal/sqrt(2.0_pReal), & + 0.0_pReal, -1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), & + 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), -1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, & + 0.5_pReal, 0.5_pReal, 0.5_pReal, 0.5_pReal, & ! 3-fold symmetry + -0.5_pReal, 0.5_pReal, 0.5_pReal, 0.5_pReal, & + 0.5_pReal, -0.5_pReal, 0.5_pReal, 0.5_pReal, & + -0.5_pReal, -0.5_pReal, 0.5_pReal, 0.5_pReal, & + 0.5_pReal, 0.5_pReal, -0.5_pReal, 0.5_pReal, & + -0.5_pReal, 0.5_pReal, -0.5_pReal, 0.5_pReal, & + 0.5_pReal, 0.5_pReal, 0.5_pReal, -0.5_pReal, & + -0.5_pReal, 0.5_pReal, 0.5_pReal, -0.5_pReal, & + 1.0_pReal/sqrt(2.0_pReal), 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 0.0_pReal, & ! 4-fold symmetry + 0.0_pReal, 1.0_pReal, 0.0_pReal, 0.0_pReal, & + -1.0_pReal/sqrt(2.0_pReal), 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 0.0_pReal, & + 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, & + 0.0_pReal, 0.0_pReal, 1.0_pReal, 0.0_pReal, & + -1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, & + 1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), & + 0.0_pReal, 0.0_pReal, 0.0_pReal, 1.0_pReal, & + -1.0_pReal/sqrt(2.0_pReal), 0.0_pReal, 0.0_pReal, 1.0_pReal/sqrt(2.0_pReal), & + ! + 1.0_pReal, 0.0_pReal, 0.0_pReal, 0.0_pReal, & ! hexagonal symmetry operations + 0.0_pReal, 1.0_pReal, 0.0_pReal, 0.0_pReal, & ! 2-fold symmetry + 0.0_pReal, 0.0_pReal, 1.0_pReal, 0.0_pReal, & + 0.0_pReal, 0.5_pReal, 2.0_pReal/sqrt(3.0_pReal), 0.0_pReal, & + 0.0_pReal, -0.5_pReal, 2.0_pReal/sqrt(3.0_pReal), 0.0_pReal, & + 0.0_pReal, 2.0_pReal/sqrt(3.0_pReal), 0.5_pReal, 0.0_pReal, & + 0.0_pReal, -2.0_pReal/sqrt(3.0_pReal), 0.5_pReal, 0.0_pReal, & + 2.0_pReal/sqrt(3.0_pReal), 0.0_pReal, 0.0_pReal, 0.5_pReal, & ! 6-fold symmetry + -2.0_pReal/sqrt(3.0_pReal), 0.0_pReal, 0.0_pReal, 0.5_pReal, & + 0.5_pReal, 0.0_pReal, 0.0_pReal, 2.0_pReal/sqrt(3.0_pReal), & + -0.5_pReal, 0.0_pReal, 0.0_pReal, 2.0_pReal/sqrt(3.0_pReal), & + 0.0_pReal, 0.0_pReal, 0.0_pReal, 1.0_pReal & + ],[4,36]) !< Symmetry operations as quaternions 24 for cubic, 12 for hexagonal = 36 + !-------------------------------------------------------------------------------------------------- ! check if a structure with known symmetries is given - if (present(struct)) then - myStruct = struct - select case (struct) - case(LATTICE_fcc_ID,LATTICE_bcc_ID) - symmetry = 1 - case(LATTICE_hex_ID) - symmetry = 2 - case default - symmetry = 0 - end select - else - symmetry = 0 - myStruct = LATTICE_undefined_ID - endif - - + if (present(struct)) then + myStruct = struct + select case (struct) + case(LATTICE_fcc_ID,LATTICE_bcc_ID) + symmetry = 1 + case(LATTICE_hex_ID) + symmetry = 2 + case default + symmetry = 0 + end select + else + symmetry = 0 + myStruct = LATTICE_undefined_ID + endif + + !-------------------------------------------------------------------------------------------------- ! calculate misorientation, for cubic and hexagonal structure find symmetries - dQ = math_qMul(math_qConj(Q1),Q2) - lattice_qDisorientation = dQ - - select case(symmetry) - - case (1,2) - s = sum(NsymOperations(1:symmetry-1)) - do i = 1,2 - dQ = math_qConj(dQ) ! switch order of "from -- to" - do j = 1,NsymOperations(symmetry) ! run through first crystal's symmetries - dQsymA = math_qMul(symOperations(1:4,s+j),dQ) ! apply sym - do k = 1,NsymOperations(symmetry) ! run through 2nd crystal's symmetries - mis = math_qMul(dQsymA,symOperations(1:4,s+k)) ! apply sym - if (mis(1) < 0.0_pReal) & ! want positive angle - mis = -mis - if (mis(1)-lattice_qDisorientation(1) > -tol_math_check & - .and. lattice_qInSST(mis,LATTICE_undefined_ID)) lattice_qDisorientation = mis ! found better one - enddo; enddo; enddo - case (0) - if (lattice_qDisorientation(1) < 0.0_pReal) lattice_qDisorientation = -lattice_qDisorientation ! keep omega within 0 to 180 deg - end select - + dQ = math_qMul(math_qConj(Q1),Q2) + lattice_qDisorientation = dQ + + select case(symmetry) + + case (1,2) + s = sum(NsymOperations(1:symmetry-1)) + do i = 1,2 + dQ = math_qConj(dQ) ! switch order of "from -- to" + do j = 1,NsymOperations(symmetry) ! run through first crystal's symmetries + dQsymA = math_qMul(symOperations(1:4,s+j),dQ) ! apply sym + do k = 1,NsymOperations(symmetry) ! run through 2nd crystal's symmetries + mis = math_qMul(dQsymA,symOperations(1:4,s+k)) ! apply sym + if (mis(1) < 0.0_pReal) & ! want positive angle + mis = -mis + if (mis(1)-lattice_qDisorientation(1) > -tol_math_check & + .and. lattice_qInSST(mis,LATTICE_undefined_ID)) lattice_qDisorientation = mis ! found better one + enddo; enddo; enddo + case (0) + if (lattice_qDisorientation(1) < 0.0_pReal) lattice_qDisorientation = -lattice_qDisorientation ! keep omega within 0 to 180 deg + end select + end function lattice_qDisorientation - - + + !-------------------------------------------------------------------------------------------------- !> @brief Characteristic shear for twinning !-------------------------------------------------------------------------------------------------- function lattice_characteristicShear_Twin(Ntwin,structure,CoverA) result(characteristicShear) - use IO, only: & - IO_error - - implicit none - integer, dimension(:), intent(in) :: Ntwin !< number of active twin systems per family - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), intent(in) :: cOverA !< c/a ratio - real(pReal), dimension(sum(Ntwin)) :: characteristicShear + use IO, only: & + IO_error + + integer, dimension(:), intent(in) :: Ntwin !< number of active twin systems per family + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), intent(in) :: cOverA !< c/a ratio + real(pReal), dimension(sum(Ntwin)) :: characteristicShear + + integer :: & + a, & !< index of active system + c, & !< index in complete system list + mf, & !< index of my family + ms !< index of my system in current family + + integer, dimension(LATTICE_HEX_NTWIN), parameter :: & + HEX_SHEARTWIN = reshape( [& + 1, & ! <-10.1>{10.2} + 1, & + 1, & + 1, & + 1, & + 1, & + 2, & ! <11.6>{-1-1.1} + 2, & + 2, & + 2, & + 2, & + 2, & + 3, & ! <10.-2>{10.1} + 3, & + 3, & + 3, & + 3, & + 3, & + 4, & ! <11.-3>{11.2} + 4, & + 4, & + 4, & + 4, & + 4 & + ],[LATTICE_HEX_NTWIN]) ! indicator to formulas below + + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='lattice_characteristicShear_Twin: '//trim(structure)) + + a = 0 + myFamilies: do mf = 1,size(Ntwin,1) + mySystems: do ms = 1,Ntwin(mf) + a = a + 1 + select case(structure(1:3)) + case('fcc','bcc') + characteristicShear(a) = 0.5_pReal*sqrt(2.0_pReal) + case('hex') + if (cOverA < 1.0_pReal .or. cOverA > 2.0_pReal) & + call IO_error(131,ext_msg='lattice_characteristicShear_Twin') + c = sum(LATTICE_HEX_NTWINSYSTEM(1:mf-1))+ms + select case(HEX_SHEARTWIN(c)) ! from Christian & Mahajan 1995 p.29 + case (1) ! <-10.1>{10.2} + characteristicShear(a) = (3.0_pReal-cOverA**2.0_pReal)/sqrt(3.0_pReal)/CoverA + case (2) ! <11.6>{-1-1.1} + characteristicShear(a) = 1.0_pReal/cOverA + case (3) ! <10.-2>{10.1} + characteristicShear(a) = (4.0_pReal*cOverA**2.0_pReal-9.0_pReal)/sqrt(48.0_pReal)/cOverA + case (4) ! <11.-3>{11.2} + characteristicShear(a) = 2.0_pReal*(cOverA**2.0_pReal-2.0_pReal)/3.0_pReal/cOverA + end select + case default + call IO_error(137,ext_msg='lattice_characteristicShear_Twin: '//trim(structure)) + end select + enddo mySystems + enddo myFamilies - integer :: & - a, & !< index of active system - c, & !< index in complete system list - mf, & !< index of my family - ms !< index of my system in current family - - integer, dimension(LATTICE_HEX_NTWIN), parameter :: & - HEX_SHEARTWIN = reshape( [& - 1, & ! <-10.1>{10.2} - 1, & - 1, & - 1, & - 1, & - 1, & - 2, & ! <11.6>{-1-1.1} - 2, & - 2, & - 2, & - 2, & - 2, & - 3, & ! <10.-2>{10.1} - 3, & - 3, & - 3, & - 3, & - 3, & - 4, & ! <11.-3>{11.2} - 4, & - 4, & - 4, & - 4, & - 4 & - ],[LATTICE_HEX_NTWIN]) ! indicator to formulas below - - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='lattice_characteristicShear_Twin: '//trim(structure)) - - a = 0 - myFamilies: do mf = 1,size(Ntwin,1) - mySystems: do ms = 1,Ntwin(mf) - a = a + 1 - select case(structure(1:3)) - case('fcc','bcc') - characteristicShear(a) = 0.5_pReal*sqrt(2.0_pReal) - case('hex') - if (cOverA < 1.0_pReal .or. cOverA > 2.0_pReal) & - call IO_error(131,ext_msg='lattice_characteristicShear_Twin') - c = sum(LATTICE_HEX_NTWINSYSTEM(1:mf-1))+ms - select case(HEX_SHEARTWIN(c)) ! from Christian & Mahajan 1995 p.29 - case (1) ! <-10.1>{10.2} - characteristicShear(a) = (3.0_pReal-cOverA**2.0_pReal)/sqrt(3.0_pReal)/CoverA - case (2) ! <11.6>{-1-1.1} - characteristicShear(a) = 1.0_pReal/cOverA - case (3) ! <10.-2>{10.1} - characteristicShear(a) = (4.0_pReal*cOverA**2.0_pReal-9.0_pReal)/sqrt(48.0_pReal)/cOverA - case (4) ! <11.-3>{11.2} - characteristicShear(a) = 2.0_pReal*(cOverA**2.0_pReal-2.0_pReal)/3.0_pReal/cOverA - end select - case default - call IO_error(137,ext_msg='lattice_characteristicShear_Twin: '//trim(structure)) - end select - enddo mySystems - enddo myFamilies - end function lattice_characteristicShear_Twin - - + + !-------------------------------------------------------------------------------------------------- !> @brief Rotated elasticity matrices for twinning in 66-vector notation !-------------------------------------------------------------------------------------------------- function lattice_C66_twin(Ntwin,C66,structure,CoverA) - use IO, only: & - IO_error - use math, only: & - PI, & - math_axisAngleToR, & - math_sym3333to66, & - math_66toSym3333, & - math_rotate_forward3333 - - implicit none - integer, dimension(:), intent(in) :: Ntwin !< number of active twin systems per family - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), dimension(6,6), intent(in) :: C66 !< unrotated parent stiffness matrix - real(pReal), intent(in) :: cOverA !< c/a ratio - real(pReal), dimension(6,6,sum(Ntwin)) :: lattice_C66_twin - - real(pReal),dimension(3,3,sum(Ntwin)) :: coordinateSystem - real(pReal), dimension(3,3) :: R - integer :: i + use IO, only: & + IO_error + use math, only: & + PI, & + math_axisAngleToR, & + math_sym3333to66, & + math_66toSym3333, & + math_rotate_forward3333 - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='lattice_C66_twin: '//trim(structure)) - - select case(structure(1:3)) - case('fcc') - coordinateSystem = buildCoordinateSystem(Ntwin,LATTICE_FCC_NSLIPSYSTEM,LATTICE_FCC_SYSTEMTWIN,& - trim(structure),0.0_pReal) - case('bcc') - coordinateSystem = buildCoordinateSystem(Ntwin,LATTICE_BCC_NSLIPSYSTEM,LATTICE_BCC_SYSTEMTWIN,& - trim(structure),0.0_pReal) - case('hex') - coordinateSystem = buildCoordinateSystem(Ntwin,LATTICE_HEX_NSLIPSYSTEM,LATTICE_HEX_SYSTEMTWIN,& - 'hex',cOverA) - case default - call IO_error(137,ext_msg='lattice_C66_twin: '//trim(structure)) - end select - - do i = 1, sum(Ntwin) - R = math_axisAngleToR(coordinateSystem(1:3,2,i), PI) ! ToDo: Why always 180 deg? - lattice_C66_twin(1:6,1:6,i) = math_sym3333to66(math_rotate_forward3333(math_66toSym3333(C66),R)) - enddo + integer, dimension(:), intent(in) :: Ntwin !< number of active twin systems per family + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), dimension(6,6), intent(in) :: C66 !< unrotated parent stiffness matrix + real(pReal), intent(in) :: cOverA !< c/a ratio + real(pReal), dimension(6,6,sum(Ntwin)) :: lattice_C66_twin + + real(pReal),dimension(3,3,sum(Ntwin)) :: coordinateSystem + real(pReal), dimension(3,3) :: R + integer :: i + + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='lattice_C66_twin: '//trim(structure)) + + select case(structure(1:3)) + case('fcc') + coordinateSystem = buildCoordinateSystem(Ntwin,LATTICE_FCC_NSLIPSYSTEM,LATTICE_FCC_SYSTEMTWIN,& + trim(structure),0.0_pReal) + case('bcc') + coordinateSystem = buildCoordinateSystem(Ntwin,LATTICE_BCC_NSLIPSYSTEM,LATTICE_BCC_SYSTEMTWIN,& + trim(structure),0.0_pReal) + case('hex') + coordinateSystem = buildCoordinateSystem(Ntwin,LATTICE_HEX_NSLIPSYSTEM,LATTICE_HEX_SYSTEMTWIN,& + 'hex',cOverA) + case default + call IO_error(137,ext_msg='lattice_C66_twin: '//trim(structure)) + end select + + do i = 1, sum(Ntwin) + R = math_axisAngleToR(coordinateSystem(1:3,2,i), PI) ! ToDo: Why always 180 deg? + lattice_C66_twin(1:6,1:6,i) = math_sym3333to66(math_rotate_forward3333(math_66toSym3333(C66),R)) + enddo end function lattice_C66_twin - - + + !-------------------------------------------------------------------------------------------------- !> @brief Rotated elasticity matrices for transformation in 66-vector notation !-------------------------------------------------------------------------------------------------- function lattice_C66_trans(Ntrans,C_parent66,structure_target, & CoverA_trans,a_bcc,a_fcc) - use prec, only: & - tol_math_check - use IO, only: & - IO_error - use math, only: & - INRAD, & - MATH_I3, & - math_axisAngleToR, & - math_sym3333to66, & - math_66toSym3333, & - math_rotate_forward3333 - - implicit none - integer, dimension(:), intent(in) :: Ntrans !< number of active twin systems per family - character(len=*), intent(in) :: structure_target !< lattice structure - real(pReal), dimension(6,6), intent(in) :: C_parent66 - real(pReal), dimension(6,6,sum(Ntrans)) :: lattice_C66_trans - - real(pReal), dimension(6,6) :: C_bar66, C_target_unrotated66 - real(pReal), dimension(3,3,3,3) :: C_target_unrotated - real(pReal), dimension(3,3,sum(Ntrans)) :: Q,S - real(pReal) :: a_bcc, a_fcc, CoverA_trans - integer :: i - - if (len_trim(structure_target) /= 3) & - call IO_error(137,ext_msg='lattice_C66_trans (target): '//trim(structure_target)) - - !ToDo: add checks for CoverA_trans,a_fcc,a_bcc + use prec, only: & + tol_math_check + use IO, only: & + IO_error + use math, only: & + INRAD, & + MATH_I3, & + math_axisAngleToR, & + math_sym3333to66, & + math_66toSym3333, & + math_rotate_forward3333 + + integer, dimension(:), intent(in) :: Ntrans !< number of active twin systems per family + character(len=*), intent(in) :: structure_target !< lattice structure + real(pReal), dimension(6,6), intent(in) :: C_parent66 + real(pReal), dimension(6,6,sum(Ntrans)) :: lattice_C66_trans -!-------------------------------------------------------------------------------------------------- -! elasticity matrix of the target phase in cube orientation - if (structure_target(1:3) == 'hex') then - C_bar66(1,1) = (C_parent66(1,1) + C_parent66(1,2) + 2.0_pReal*C_parent66(4,4))/2.0_pReal - C_bar66(1,2) = (C_parent66(1,1) + 5.0_pReal*C_parent66(1,2) - 2.0_pReal*C_parent66(4,4))/6.0_pReal - C_bar66(3,3) = (C_parent66(1,1) + 2.0_pReal*C_parent66(1,2) + 4.0_pReal*C_parent66(4,4))/3.0_pReal - C_bar66(1,3) = (C_parent66(1,1) + 2.0_pReal*C_parent66(1,2) - 2.0_pReal*C_parent66(4,4))/3.0_pReal - C_bar66(4,4) = (C_parent66(1,1) - C_parent66(1,2) + C_parent66(4,4))/3.0_pReal - C_bar66(1,4) = (C_parent66(1,1) - C_parent66(1,2) - 2.0_pReal*C_parent66(4,4)) /(3.0_pReal*sqrt(2.0_pReal)) - - C_target_unrotated66 = 0.0_pReal - C_target_unrotated66(1,1) = C_bar66(1,1) - C_bar66(1,4)**2.0_pReal/C_bar66(4,4) - C_target_unrotated66(1,2) = C_bar66(1,2) + C_bar66(1,4)**2.0_pReal/C_bar66(4,4) - C_target_unrotated66(1,3) = C_bar66(1,3) - C_target_unrotated66(3,3) = C_bar66(3,3) - C_target_unrotated66(4,4) = C_bar66(4,4) - C_bar66(1,4)**2.0_pReal/(0.5_pReal*(C_bar66(1,1) - C_bar66(1,2))) - C_target_unrotated66 = lattice_symmetrizeC66(LATTICE_HEX_ID,C_target_unrotated66) - elseif (structure_target(1:3) == 'bcc') then - C_target_unrotated66 = C_parent66 - else - call IO_error(137,ext_msg='lattice_C66_trans (target): '//trim(structure_target)) - endif - - - do i = 1, 6 - if (abs(C_target_unrotated66(i,i)) @brief Non-schmid projections for bcc with up to 6 coefficients ! Koester et al. 2012, Acta Materialia 60 (2012) 3894–3901, eq. (17) ! Gröger et al. 2008, Acta Materialia 56 (2008) 5412–5425, table 1 !-------------------------------------------------------------------------------------------------- function lattice_nonSchmidMatrix(Nslip,nonSchmidCoefficients,sense) result(nonSchmidMatrix) - use IO, only: & - IO_error - use math, only: & - INRAD, & - math_outer, & - math_cross, & - math_axisAngleToR - implicit none - integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family - real(pReal), dimension(:), intent(in) :: nonSchmidCoefficients !< non-Schmid coefficients for projections - integer, intent(in) :: sense !< sense (-1,+1) - real(pReal), dimension(1:3,1:3,sum(Nslip)) :: nonSchmidMatrix + use IO, only: & + IO_error + use math, only: & + INRAD, & + math_outer, & + math_cross, & + math_axisAngleToR - real(pReal), dimension(1:3,1:3,sum(Nslip)) :: coordinateSystem !< coordinate system of slip system - real(pReal), dimension(:), allocatable :: direction, normal, np - integer :: i - - if (abs(sense) /= 1) call IO_error(0,ext_msg='lattice_nonSchmidMatrix') - - coordinateSystem = buildCoordinateSystem(Nslip,LATTICE_BCC_NSLIPSYSTEM,LATTICE_BCC_SYSTEMSLIP,& - 'bcc',0.0_pReal) - coordinateSystem(1:3,1,1:sum(Nslip)) = coordinateSystem(1:3,1,1:sum(Nslip)) *real(sense,pReal) ! convert unidirectional coordinate system - nonSchmidMatrix = lattice_SchmidMatrix_slip(Nslip,'bcc',0.0_pReal) ! Schmid contribution - - do i = 1,sum(Nslip) - direction = coordinateSystem(1:3,1,i) - normal = coordinateSystem(1:3,2,i) - np = matmul(math_axisAngleToR(direction,60.0_pReal*INRAD), normal) - if (size(nonSchmidCoefficients)>0) nonSchmidMatrix(1:3,1:3,i) = nonSchmidMatrix(1:3,1:3,i) & - + nonSchmidCoefficients(1) * math_outer(direction, np) - if (size(nonSchmidCoefficients)>1) nonSchmidMatrix(1:3,1:3,i) = nonSchmidMatrix(1:3,1:3,i) & - + nonSchmidCoefficients(2) * math_outer(math_cross(normal, direction), normal) - if (size(nonSchmidCoefficients)>2) nonSchmidMatrix(1:3,1:3,i) = nonSchmidMatrix(1:3,1:3,i) & - + nonSchmidCoefficients(3) * math_outer(math_cross(np, direction), np) - if (size(nonSchmidCoefficients)>3) nonSchmidMatrix(1:3,1:3,i) = nonSchmidMatrix(1:3,1:3,i) & - + nonSchmidCoefficients(4) * math_outer(normal, normal) - if (size(nonSchmidCoefficients)>4) nonSchmidMatrix(1:3,1:3,i) = nonSchmidMatrix(1:3,1:3,i) & - + nonSchmidCoefficients(5) * math_outer(math_cross(normal, direction), & - math_cross(normal, direction)) - if (size(nonSchmidCoefficients)>5) nonSchmidMatrix(1:3,1:3,i) = nonSchmidMatrix(1:3,1:3,i) & - + nonSchmidCoefficients(6) * math_outer(direction, direction) - enddo + integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family + real(pReal), dimension(:), intent(in) :: nonSchmidCoefficients !< non-Schmid coefficients for projections + integer, intent(in) :: sense !< sense (-1,+1) + real(pReal), dimension(1:3,1:3,sum(Nslip)) :: nonSchmidMatrix + + real(pReal), dimension(1:3,1:3,sum(Nslip)) :: coordinateSystem !< coordinate system of slip system + real(pReal), dimension(:), allocatable :: direction, normal, np + integer :: i + + if (abs(sense) /= 1) call IO_error(0,ext_msg='lattice_nonSchmidMatrix') + + coordinateSystem = buildCoordinateSystem(Nslip,LATTICE_BCC_NSLIPSYSTEM,LATTICE_BCC_SYSTEMSLIP,& + 'bcc',0.0_pReal) + coordinateSystem(1:3,1,1:sum(Nslip)) = coordinateSystem(1:3,1,1:sum(Nslip)) *real(sense,pReal) ! convert unidirectional coordinate system + nonSchmidMatrix = lattice_SchmidMatrix_slip(Nslip,'bcc',0.0_pReal) ! Schmid contribution + + do i = 1,sum(Nslip) + direction = coordinateSystem(1:3,1,i) + normal = coordinateSystem(1:3,2,i) + np = matmul(math_axisAngleToR(direction,60.0_pReal*INRAD), normal) + if (size(nonSchmidCoefficients)>0) nonSchmidMatrix(1:3,1:3,i) = nonSchmidMatrix(1:3,1:3,i) & + + nonSchmidCoefficients(1) * math_outer(direction, np) + if (size(nonSchmidCoefficients)>1) nonSchmidMatrix(1:3,1:3,i) = nonSchmidMatrix(1:3,1:3,i) & + + nonSchmidCoefficients(2) * math_outer(math_cross(normal, direction), normal) + if (size(nonSchmidCoefficients)>2) nonSchmidMatrix(1:3,1:3,i) = nonSchmidMatrix(1:3,1:3,i) & + + nonSchmidCoefficients(3) * math_outer(math_cross(np, direction), np) + if (size(nonSchmidCoefficients)>3) nonSchmidMatrix(1:3,1:3,i) = nonSchmidMatrix(1:3,1:3,i) & + + nonSchmidCoefficients(4) * math_outer(normal, normal) + if (size(nonSchmidCoefficients)>4) nonSchmidMatrix(1:3,1:3,i) = nonSchmidMatrix(1:3,1:3,i) & + + nonSchmidCoefficients(5) * math_outer(math_cross(normal, direction), & + math_cross(normal, direction)) + if (size(nonSchmidCoefficients)>5) nonSchmidMatrix(1:3,1:3,i) = nonSchmidMatrix(1:3,1:3,i) & + + nonSchmidCoefficients(6) * math_outer(direction, direction) + enddo end function lattice_nonSchmidMatrix - - + + !-------------------------------------------------------------------------------------------------- !> @brief Slip-slip interaction matrix !> details only active slip systems are considered !-------------------------------------------------------------------------------------------------- function lattice_interaction_SlipBySlip(Nslip,interactionValues,structure) result(interactionMatrix) - use IO, only: & - IO_error - - implicit none - integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family - real(pReal), dimension(:), intent(in) :: interactionValues !< values for slip-slip interaction - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), dimension(sum(Nslip),sum(Nslip)) :: interactionMatrix - - integer, dimension(:), allocatable :: NslipMax - integer, dimension(:,:), allocatable :: interactionTypes + use IO, only: & + IO_error - integer, dimension(LATTICE_FCC_NSLIP,LATTICE_FCC_NSLIP), parameter :: & - FCC_INTERACTIONSLIPSLIP = reshape( [& - 1, 2, 2, 4, 6, 5, 3, 5, 5, 4, 5, 6, 9,10, 9,10,11,12, & - 2, 1, 2, 6, 4, 5, 5, 4, 6, 5, 3, 5, 9,10,11,12, 9,10, & - 2, 2, 1, 5, 5, 3, 5, 6, 4, 6, 5, 4, 11,12, 9,10, 9,10, & - 4, 6, 5, 1, 2, 2, 4, 5, 6, 3, 5, 5, 9,10,10, 9,12,11, & - 6, 4, 5, 2, 1, 2, 5, 3, 5, 5, 4, 6, 9,10,12,11,10, 9, & - 5, 5, 3, 2, 2, 1, 6, 5, 4, 5, 6, 4, 11,12,10, 9,10, 9, & - 3, 5, 5, 4, 5, 6, 1, 2, 2, 4, 6, 5, 10, 9,10, 9,11,12, & - 5, 4, 6, 5, 3, 5, 2, 1, 2, 6, 4, 5, 10, 9,12,11, 9,10, & - 5, 6, 4, 6, 5, 4, 2, 2, 1, 5, 5, 3, 12,11,10, 9, 9,10, & - 4, 5, 6, 3, 5, 5, 4, 6, 5, 1, 2, 2, 10, 9, 9,10,12,11, & - 5, 3, 5, 5, 4, 6, 6, 4, 5, 2, 1, 2, 10, 9,11,12,10, 9, & - 6, 5, 4, 5, 6, 4, 5, 5, 3, 2, 2, 1, 12,11, 9,10,10, 9, & - - 9, 9,11, 9, 9,11,10,10,12,10,10,12, 1, 7, 8, 8, 8, 8, & - 10,10,12,10,10,12, 9, 9,11, 9, 9,11, 7, 1, 8, 8, 8, 8, & - 9,11, 9,10,12,10,10,12,10, 9,11, 9, 8, 8, 1, 7, 8, 8, & - 10,12,10, 9,11, 9, 9,11, 9,10,12,10, 8, 8, 7, 1, 8, 8, & - 11, 9, 9,12,10,10,11, 9, 9,12,10,10, 8, 8, 8, 8, 1, 7, & - 12,10,10,11, 9, 9,12,10,10,11, 9, 9, 8, 8, 8, 8, 7, 1 & - ],shape(FCC_INTERACTIONSLIPSLIP)) !< Slip--slip interaction types for fcc + integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family + real(pReal), dimension(:), intent(in) :: interactionValues !< values for slip-slip interaction + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), dimension(sum(Nslip),sum(Nslip)) :: interactionMatrix + + integer, dimension(:), allocatable :: NslipMax + integer, dimension(:,:), allocatable :: interactionTypes + + integer, dimension(LATTICE_FCC_NSLIP,LATTICE_FCC_NSLIP), parameter :: & + FCC_INTERACTIONSLIPSLIP = reshape( [& + 1, 2, 2, 4, 6, 5, 3, 5, 5, 4, 5, 6, 9,10, 9,10,11,12, & ! -----> acting + 2, 1, 2, 6, 4, 5, 5, 4, 6, 5, 3, 5, 9,10,11,12, 9,10, & ! | + 2, 2, 1, 5, 5, 3, 5, 6, 4, 6, 5, 4, 11,12, 9,10, 9,10, & ! | + 4, 6, 5, 1, 2, 2, 4, 5, 6, 3, 5, 5, 9,10,10, 9,12,11, & ! v + 6, 4, 5, 2, 1, 2, 5, 3, 5, 5, 4, 6, 9,10,12,11,10, 9, & ! reacting + 5, 5, 3, 2, 2, 1, 6, 5, 4, 5, 6, 4, 11,12,10, 9,10, 9, & + 3, 5, 5, 4, 5, 6, 1, 2, 2, 4, 6, 5, 10, 9,10, 9,11,12, & + 5, 4, 6, 5, 3, 5, 2, 1, 2, 6, 4, 5, 10, 9,12,11, 9,10, & + 5, 6, 4, 6, 5, 4, 2, 2, 1, 5, 5, 3, 12,11,10, 9, 9,10, & + 4, 5, 6, 3, 5, 5, 4, 6, 5, 1, 2, 2, 10, 9, 9,10,12,11, & + 5, 3, 5, 5, 4, 6, 6, 4, 5, 2, 1, 2, 10, 9,11,12,10, 9, & + 6, 5, 4, 5, 6, 4, 5, 5, 3, 2, 2, 1, 12,11, 9,10,10, 9, & + + 9, 9,11, 9, 9,11,10,10,12,10,10,12, 1, 7, 8, 8, 8, 8, & + 10,10,12,10,10,12, 9, 9,11, 9, 9,11, 7, 1, 8, 8, 8, 8, & + 9,11, 9,10,12,10,10,12,10, 9,11, 9, 8, 8, 1, 7, 8, 8, & + 10,12,10, 9,11, 9, 9,11, 9,10,12,10, 8, 8, 7, 1, 8, 8, & + 11, 9, 9,12,10,10,11, 9, 9,12,10,10, 8, 8, 8, 8, 1, 7, & + 12,10,10,11, 9, 9,12,10,10,11, 9, 9, 8, 8, 8, 8, 7, 1 & + ],shape(FCC_INTERACTIONSLIPSLIP)) !< Slip--slip interaction types for fcc !< 1: self interaction !< 2: coplanar interaction !< 3: collinear interaction @@ -1301,1094 +1291,1078 @@ function lattice_interaction_SlipBySlip(Nslip,interactionValues,structure) resul !<10: similar to glissile junctions in <110>{111} btw one {110} and one {111} plane !<11: crossing btw one {110} and one {111} plane !<12: collinear btw one {110} and one {111} plane - - integer, dimension(LATTICE_BCC_NSLIP,LATTICE_BCC_NSLIP), parameter :: & - BCC_INTERACTIONSLIPSLIP = reshape( [& - 1,2,6,6,5,4,4,3,4,3,5,4, 6,6,4,3,3,4,6,6,4,3,6,6, & - 2,1,6,6,4,3,5,4,5,4,4,3, 6,6,3,4,4,3,6,6,3,4,6,6, & - 6,6,1,2,4,5,3,4,4,5,3,4, 4,3,6,6,6,6,3,4,6,6,4,3, & - 6,6,2,1,3,4,4,5,3,4,4,5, 3,4,6,6,6,6,4,3,6,6,3,4, & - 5,4,4,3,1,2,6,6,3,4,5,4, 3,6,4,6,6,4,6,3,4,6,3,6, & - 4,3,5,4,2,1,6,6,4,5,4,3, 4,6,3,6,6,3,6,4,3,6,4,6, & - 4,5,3,4,6,6,1,2,5,4,3,4, 6,3,6,4,4,6,3,6,6,4,6,3, & - 3,4,4,5,6,6,2,1,4,3,4,5, 6,4,6,3,3,6,4,6,6,3,6,4, & - 4,5,4,3,3,4,5,4,1,2,6,6, 3,6,6,4,4,6,6,3,6,4,3,6, & - 3,4,5,4,4,5,4,3,2,1,6,6, 4,6,6,3,3,6,6,4,6,3,4,6, & - 5,4,3,4,5,4,3,4,6,6,1,2, 6,3,4,6,6,4,3,6,4,6,6,3, & - 4,3,4,5,4,3,4,5,6,6,2,1, 6,4,3,6,6,3,4,6,3,6,6,4, & - ! - 6,6,4,3,3,4,6,6,3,4,6,6, 1,5,6,6,5,6,6,3,5,6,3,6, & - 6,6,3,4,6,6,3,4,6,6,3,4, 5,1,6,6,6,5,3,6,6,5,6,3, & - 4,3,6,6,4,3,6,6,6,6,4,3, 6,6,1,5,6,3,5,6,3,6,5,6, & - 3,4,6,6,6,6,4,3,4,3,6,6, 6,6,5,1,3,6,6,5,6,3,6,5, & - 3,4,6,6,6,6,4,3,4,3,6,6, 5,6,6,3,1,6,5,6,5,3,6,6, & - 4,3,6,6,4,3,6,6,6,6,4,3, 6,5,3,6,6,1,6,5,3,5,6,6, & - 6,6,3,4,6,6,3,4,6,6,3,4, 6,3,5,6,5,6,1,6,6,6,5,3, & - 6,6,4,3,3,4,6,6,3,4,6,6, 3,6,6,5,6,5,6,1,6,6,3,5, & - 4,3,6,6,4,3,6,6,6,6,4,3, 5,6,3,6,5,3,6,6,1,6,6,5, & - 3,4,6,6,6,6,4,3,4,3,6,6, 6,5,6,3,3,5,6,6,6,1,5,6, & - 6,6,4,3,3,4,6,6,3,4,6,6, 3,6,5,6,6,6,5,3,6,5,1,6, & - 6,6,3,4,6,6,3,4,6,6,3,4, 6,3,6,5,6,6,3,5,5,6,6,1 & - ],shape(BCC_INTERACTIONSLIPSLIP)) !< Slip--slip interaction types for bcc from Queyreau et al. Int J Plast 25 (2009) 361–377 + + integer, dimension(LATTICE_BCC_NSLIP,LATTICE_BCC_NSLIP), parameter :: & + BCC_INTERACTIONSLIPSLIP = reshape( [& + 1,2,6,6,5,4,4,3,4,3,5,4, 6,6,4,3,3,4,6,6,4,3,6,6, & ! -----> acting + 2,1,6,6,4,3,5,4,5,4,4,3, 6,6,3,4,4,3,6,6,3,4,6,6, & ! | + 6,6,1,2,4,5,3,4,4,5,3,4, 4,3,6,6,6,6,3,4,6,6,4,3, & ! | + 6,6,2,1,3,4,4,5,3,4,4,5, 3,4,6,6,6,6,4,3,6,6,3,4, & ! v + 5,4,4,3,1,2,6,6,3,4,5,4, 3,6,4,6,6,4,6,3,4,6,3,6, & ! reacting + 4,3,5,4,2,1,6,6,4,5,4,3, 4,6,3,6,6,3,6,4,3,6,4,6, & + 4,5,3,4,6,6,1,2,5,4,3,4, 6,3,6,4,4,6,3,6,6,4,6,3, & + 3,4,4,5,6,6,2,1,4,3,4,5, 6,4,6,3,3,6,4,6,6,3,6,4, & + 4,5,4,3,3,4,5,4,1,2,6,6, 3,6,6,4,4,6,6,3,6,4,3,6, & + 3,4,5,4,4,5,4,3,2,1,6,6, 4,6,6,3,3,6,6,4,6,3,4,6, & + 5,4,3,4,5,4,3,4,6,6,1,2, 6,3,4,6,6,4,3,6,4,6,6,3, & + 4,3,4,5,4,3,4,5,6,6,2,1, 6,4,3,6,6,3,4,6,3,6,6,4, & + ! + 6,6,4,3,3,4,6,6,3,4,6,6, 1,5,6,6,5,6,6,3,5,6,3,6, & + 6,6,3,4,6,6,3,4,6,6,3,4, 5,1,6,6,6,5,3,6,6,5,6,3, & + 4,3,6,6,4,3,6,6,6,6,4,3, 6,6,1,5,6,3,5,6,3,6,5,6, & + 3,4,6,6,6,6,4,3,4,3,6,6, 6,6,5,1,3,6,6,5,6,3,6,5, & + 3,4,6,6,6,6,4,3,4,3,6,6, 5,6,6,3,1,6,5,6,5,3,6,6, & + 4,3,6,6,4,3,6,6,6,6,4,3, 6,5,3,6,6,1,6,5,3,5,6,6, & + 6,6,3,4,6,6,3,4,6,6,3,4, 6,3,5,6,5,6,1,6,6,6,5,3, & + 6,6,4,3,3,4,6,6,3,4,6,6, 3,6,6,5,6,5,6,1,6,6,3,5, & + 4,3,6,6,4,3,6,6,6,6,4,3, 5,6,3,6,5,3,6,6,1,6,6,5, & + 3,4,6,6,6,6,4,3,4,3,6,6, 6,5,6,3,3,5,6,6,6,1,5,6, & + 6,6,4,3,3,4,6,6,3,4,6,6, 3,6,5,6,6,6,5,3,6,5,1,6, & + 6,6,3,4,6,6,3,4,6,6,3,4, 6,3,6,5,6,6,3,5,5,6,6,1 & + ],shape(BCC_INTERACTIONSLIPSLIP)) !< Slip--slip interaction types for bcc from Queyreau et al. Int J Plast 25 (2009) 361–377 !< 1: self interaction !< 2: coplanar interaction !< 3: collinear interaction !< 4: mixed-asymmetrical junction !< 5: mixed-symmetrical junction !< 6: edge junction - - integer, dimension(LATTICE_HEX_NSLIP,LATTICE_HEX_NSLIP), parameter :: & - HEX_INTERACTIONSLIPSLIP = reshape( [& - 1, 2, 2, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & - 2, 1, 2, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & - 2, 2, 1, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & - ! - 6, 6, 6, 4, 5, 5, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, & - 6, 6, 6, 5, 4, 5, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, & - 6, 6, 6, 5, 5, 4, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, & - ! - 12,12,12, 11,11,11, 9,10,10, 15,15,15,15,15,15, 23,23,23,23,23,23,23,23,23,23,23,23, 33,33,33,33,33,33, & - 12,12,12, 11,11,11, 10, 9,10, 15,15,15,15,15,15, 23,23,23,23,23,23,23,23,23,23,23,23, 33,33,33,33,33,33, & - 12,12,12, 11,11,11, 10,10, 9, 15,15,15,15,15,15, 23,23,23,23,23,23,23,23,23,23,23,23, 33,33,33,33,33,33, & - ! - 20,20,20, 19,19,19, 18,18,18, 16,17,17,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & - 20,20,20, 19,19,19, 18,18,18, 17,16,17,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & - 20,20,20, 19,19,19, 18,18,18, 17,17,16,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & - 20,20,20, 19,19,19, 18,18,18, 17,17,17,16,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & - 20,20,20, 19,19,19, 18,18,18, 17,17,17,17,16,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & - 20,20,20, 19,19,19, 18,18,18, 17,17,17,17,17,16, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & - ! - 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 25,26,26,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, & - 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,25,26,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, & - 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,25,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, & - 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,25,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, & - 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,25,26,26,26,26,26,26,26, 35,35,35,35,35,35, & - 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,25,26,26,26,26,26,26, 35,35,35,35,35,35, & - 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,25,26,26,26,26,26, 35,35,35,35,35,35, & - 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,25,26,26,26,26, 35,35,35,35,35,35, & - 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,25,26,26,26, 35,35,35,35,35,35, & - 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,25,26,26, 35,35,35,35,35,35, & - 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,26,25,26, 35,35,35,35,35,35, & - 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,26,26,25, 35,35,35,35,35,35, & - ! - 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 36,37,37,37,37,37, & - 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,36,37,37,37,37, & - 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,36,37,37,37, & - 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,36,37,37, & - 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,37,36,37, & - 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,37,37,36 & - ],shape(HEX_INTERACTIONSLIPSLIP)) !< Slip--slip interaction types for hex (onion peel naming scheme) - - integer, dimension(LATTICE_BCT_NSLIP,LATTICE_BCT_NSLIP), parameter :: & - BCT_INTERACTIONSLIPSLIP = reshape( [& - 1, 2, 3, 3, 7, 7, 13, 13, 13, 13, 21, 21, 31, 31, 31, 31, 43, 43, 57, 57, 73, 73, 73, 73, 91, 91, 91, 91, 91, 91, 91, 91, 111, 111, 111, 111, 133,133,133,133,133,133,133,133, 157,157,157,157,157,157,157,157, & - 2, 1, 3, 3, 7, 7, 13, 13, 13, 13, 21, 21, 31, 31, 31, 31, 43, 43, 57, 57, 73, 73, 73, 73, 91, 91, 91, 91, 91, 91, 91, 91, 111, 111, 111, 111, 133,133,133,133,133,133,133,133, 157,157,157,157,157,157,157,157, & - ! - 6, 6, 4, 5, 8, 8, 14, 14, 14, 14, 22, 22, 32, 32, 32, 32, 44, 44, 58, 58, 74, 74, 74, 74, 92, 92, 92, 92, 92, 92, 92, 92, 112, 112, 112, 112, 134,134,134,134,134,134,134,134, 158,158,158,158,158,158,158,158, & - 6, 6, 5, 4, 8, 8, 14, 14, 14, 14, 22, 22, 32, 32, 32, 32, 44, 44, 58, 58, 74, 74, 74, 74, 92, 92, 92, 92, 92, 92, 92, 92, 112, 112, 112, 112, 134,134,134,134,134,134,134,134, 158,158,158,158,158,158,158,158, & - ! - 12, 12, 11, 11, 9, 10, 15, 15, 15, 15, 23, 23, 33, 33, 33, 33, 45, 45, 59, 59, 75, 75, 75, 75, 93, 93, 93, 93, 93, 93, 93, 93, 113, 113, 113, 113, 135,135,135,135,135,135,135,135, 159,159,159,159,159,159,159,159, & - 12, 12, 11, 11, 10, 9, 15, 15, 15, 15, 23, 23, 33, 33, 33, 33, 45, 45, 59, 59, 75, 75, 75, 75, 93, 93, 93, 93, 93, 93, 93, 93, 113, 113, 113, 113, 135,135,135,135,135,135,135,135, 159,159,159,159,159,159,159,159, & - ! - 20, 20, 19, 19, 18, 18, 16, 17, 17, 17, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, & - 20, 20, 19, 19, 18, 18, 17, 16, 17, 17, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, & - 20, 20, 19, 19, 18, 18, 17, 17, 16, 17, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, & - 20, 20, 19, 19, 18, 18, 17, 17, 17, 16, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, & - ! - 30, 30, 29, 29, 28, 28, 27, 27, 27, 27, 25, 26, 35, 35, 35, 35, 47, 47, 61, 61, 77, 77, 77, 77, 95, 95, 95, 95, 95, 95, 95, 95, 115, 115, 115, 115, 137,137,137,137,137,137,137,137, 161,161,161,161,161,161,161,161, & - 30, 30, 29, 29, 28, 28, 27, 27, 27, 27, 26, 25, 35, 35, 35, 35, 47, 47, 61, 61, 77, 77, 77, 77, 95, 95, 95, 95, 95, 95, 95, 95, 115, 115, 115, 115, 137,137,137,137,137,137,137,137, 161,161,161,161,161,161,161,161, & - ! - 42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 36, 37, 37, 37, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, & - 42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 37, 36, 37, 37, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, & - 42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 37, 37, 36, 37, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, & - 42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 37, 37, 37, 36, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, & - ! - 56, 56, 55, 55, 54, 54, 53, 53, 53, 53, 52, 52, 51, 51, 51, 51, 49, 50, 63, 63, 79, 79, 79, 79, 97, 97, 97, 97, 97, 97, 97, 97, 117, 117, 117, 117, 139,139,139,139,139,139,139,139, 163,163,163,163,163,163,163,163, & - 56, 56, 55, 55, 54, 54, 53, 53, 53, 53, 52, 52, 51, 51, 51, 51, 50, 49, 63, 63, 79, 79, 79, 79, 97, 97, 97, 97, 97, 97, 97, 97, 117, 117, 117, 117, 139,139,139,139,139,139,139,139, 163,163,163,163,163,163,163,163, & - ! - 72, 72, 71, 71, 70, 70, 69, 69, 69, 69, 68, 68, 67, 67, 67, 67, 66, 66, 64, 65, 80, 80, 80, 80, 98, 98, 98, 98, 98, 98, 98, 98, 118, 118, 118, 118, 140,140,140,140,140,140,140,140, 164,164,164,164,164,164,164,164, & - 72, 72, 71, 71, 70, 70, 69, 69, 69, 69, 68, 68, 67, 67, 67, 67, 66, 66, 65, 64, 80, 80, 80, 80, 98, 98, 98, 98, 98, 98, 98, 98, 118, 118, 118, 118, 140,140,140,140,140,140,140,140, 164,164,164,164,164,164,164,164, & - ! - 90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 81, 82, 82, 82, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, & - 90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 82, 81, 82, 82, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, & - 90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 82, 82, 81, 82, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, & - 90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 82, 82, 82, 81, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, & - ! - 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 100,101,101,101,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & - 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,100,101,101,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & - 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,100,101,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & - 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,100,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & - 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,100,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & - 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,101,100,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & - 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,101,101,100,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & - 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,101,101,101,100, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & - ! - 132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 122, 122, 122, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, & - 132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 121, 122, 122, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, & - 132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 122, 121, 122, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, & - 132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 122, 122, 121, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, & - ! - 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 144,145,145,145,145,145,145,145, 168,168,168,168,168,168,168,168, & - 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,144,145,145,145,145,145,145, 168,168,168,168,168,168,168,168, & - 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,144,145,145,145,145,145, 168,168,168,168,168,168,168,168, & - 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,144,145,145,145,145, 168,168,168,168,168,168,168,168, & - 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,144,145,145,145, 168,168,168,168,168,168,168,168, & - 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,145,144,145,145, 168,168,168,168,168,168,168,168, & - 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,145,145,144,145, 168,168,168,168,168,168,168,168, & - 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,145,145,145,144, 168,168,168,168,168,168,168,168, & - ! - 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,170,170,170, & - 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,169,170,170,170,170,170,170, & - 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,170,169,170,170,170,170,170, & - 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,170,170,169,170,170,170,170, & - 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,170,170,170,169,170,170,170, & - 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,169,170,170, & - 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,170,169,170, & - 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,170,170,169 & - ],shape(BCT_INTERACTIONSLIPSLIP)) - - - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='lattice_interaction_SlipBySlip: '//trim(structure)) - - select case(structure(1:3)) - case('fcc') - interactionTypes = FCC_INTERACTIONSLIPSLIP - NslipMax = LATTICE_FCC_NSLIPSYSTEM - case('bcc') - interactionTypes = BCC_INTERACTIONSLIPSLIP - NslipMax = LATTICE_BCC_NSLIPSYSTEM - case('hex') - interactionTypes = HEX_INTERACTIONSLIPSLIP - NslipMax = LATTICE_HEX_NSLIPSYSTEM - case('bct') - interactionTypes = BCT_INTERACTIONSLIPSLIP - NslipMax = LATTICE_BCT_NSLIPSYSTEM - case default - call IO_error(137,ext_msg='lattice_interaction_SlipBySlip: '//trim(structure)) - end select - - interactionMatrix = buildInteraction(Nslip,Nslip,NslipMax,NslipMax,interactionValues,interactionTypes) - + + integer, dimension(LATTICE_HEX_NSLIP,LATTICE_HEX_NSLIP), parameter :: & + HEX_INTERACTIONSLIPSLIP = reshape( [& + 1, 2, 2, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & ! -----> acting + 2, 1, 2, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & ! | + 2, 2, 1, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & ! | + ! ! v + 6, 6, 6, 4, 5, 5, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, & ! reacting + 6, 6, 6, 5, 4, 5, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, & + 6, 6, 6, 5, 5, 4, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, & + ! + 12,12,12, 11,11,11, 9,10,10, 15,15,15,15,15,15, 23,23,23,23,23,23,23,23,23,23,23,23, 33,33,33,33,33,33, & + 12,12,12, 11,11,11, 10, 9,10, 15,15,15,15,15,15, 23,23,23,23,23,23,23,23,23,23,23,23, 33,33,33,33,33,33, & + 12,12,12, 11,11,11, 10,10, 9, 15,15,15,15,15,15, 23,23,23,23,23,23,23,23,23,23,23,23, 33,33,33,33,33,33, & + ! + 20,20,20, 19,19,19, 18,18,18, 16,17,17,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & + 20,20,20, 19,19,19, 18,18,18, 17,16,17,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & + 20,20,20, 19,19,19, 18,18,18, 17,17,16,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & + 20,20,20, 19,19,19, 18,18,18, 17,17,17,16,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & + 20,20,20, 19,19,19, 18,18,18, 17,17,17,17,16,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & + 20,20,20, 19,19,19, 18,18,18, 17,17,17,17,17,16, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & + ! + 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 25,26,26,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, & + 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,25,26,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, & + 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,25,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, & + 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,25,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, & + 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,25,26,26,26,26,26,26,26, 35,35,35,35,35,35, & + 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,25,26,26,26,26,26,26, 35,35,35,35,35,35, & + 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,25,26,26,26,26,26, 35,35,35,35,35,35, & + 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,25,26,26,26,26, 35,35,35,35,35,35, & + 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,25,26,26,26, 35,35,35,35,35,35, & + 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,25,26,26, 35,35,35,35,35,35, & + 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,26,25,26, 35,35,35,35,35,35, & + 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,26,26,25, 35,35,35,35,35,35, & + ! + 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 36,37,37,37,37,37, & + 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,36,37,37,37,37, & + 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,36,37,37,37, & + 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,36,37,37, & + 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,37,36,37, & + 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,37,37,36 & + ],shape(HEX_INTERACTIONSLIPSLIP)) !< Slip--slip interaction types for hex (onion peel naming scheme) + + integer, dimension(LATTICE_BCT_NSLIP,LATTICE_BCT_NSLIP), parameter :: & + BCT_INTERACTIONSLIPSLIP = reshape( [& + 1, 2, 3, 3, 7, 7, 13, 13, 13, 13, 21, 21, 31, 31, 31, 31, 43, 43, 57, 57, 73, 73, 73, 73, 91, 91, 91, 91, 91, 91, 91, 91, 111, 111, 111, 111, 133,133,133,133,133,133,133,133, 157,157,157,157,157,157,157,157, & ! -----> acting + 2, 1, 3, 3, 7, 7, 13, 13, 13, 13, 21, 21, 31, 31, 31, 31, 43, 43, 57, 57, 73, 73, 73, 73, 91, 91, 91, 91, 91, 91, 91, 91, 111, 111, 111, 111, 133,133,133,133,133,133,133,133, 157,157,157,157,157,157,157,157, & ! | + ! | + 6, 6, 4, 5, 8, 8, 14, 14, 14, 14, 22, 22, 32, 32, 32, 32, 44, 44, 58, 58, 74, 74, 74, 74, 92, 92, 92, 92, 92, 92, 92, 92, 112, 112, 112, 112, 134,134,134,134,134,134,134,134, 158,158,158,158,158,158,158,158, & ! v + 6, 6, 5, 4, 8, 8, 14, 14, 14, 14, 22, 22, 32, 32, 32, 32, 44, 44, 58, 58, 74, 74, 74, 74, 92, 92, 92, 92, 92, 92, 92, 92, 112, 112, 112, 112, 134,134,134,134,134,134,134,134, 158,158,158,158,158,158,158,158, & ! reacting + ! + 12, 12, 11, 11, 9, 10, 15, 15, 15, 15, 23, 23, 33, 33, 33, 33, 45, 45, 59, 59, 75, 75, 75, 75, 93, 93, 93, 93, 93, 93, 93, 93, 113, 113, 113, 113, 135,135,135,135,135,135,135,135, 159,159,159,159,159,159,159,159, & + 12, 12, 11, 11, 10, 9, 15, 15, 15, 15, 23, 23, 33, 33, 33, 33, 45, 45, 59, 59, 75, 75, 75, 75, 93, 93, 93, 93, 93, 93, 93, 93, 113, 113, 113, 113, 135,135,135,135,135,135,135,135, 159,159,159,159,159,159,159,159, & + ! + 20, 20, 19, 19, 18, 18, 16, 17, 17, 17, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, & + 20, 20, 19, 19, 18, 18, 17, 16, 17, 17, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, & + 20, 20, 19, 19, 18, 18, 17, 17, 16, 17, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, & + 20, 20, 19, 19, 18, 18, 17, 17, 17, 16, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, & + ! + 30, 30, 29, 29, 28, 28, 27, 27, 27, 27, 25, 26, 35, 35, 35, 35, 47, 47, 61, 61, 77, 77, 77, 77, 95, 95, 95, 95, 95, 95, 95, 95, 115, 115, 115, 115, 137,137,137,137,137,137,137,137, 161,161,161,161,161,161,161,161, & + 30, 30, 29, 29, 28, 28, 27, 27, 27, 27, 26, 25, 35, 35, 35, 35, 47, 47, 61, 61, 77, 77, 77, 77, 95, 95, 95, 95, 95, 95, 95, 95, 115, 115, 115, 115, 137,137,137,137,137,137,137,137, 161,161,161,161,161,161,161,161, & + ! + 42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 36, 37, 37, 37, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, & + 42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 37, 36, 37, 37, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, & + 42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 37, 37, 36, 37, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, & + 42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 37, 37, 37, 36, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, & + ! + 56, 56, 55, 55, 54, 54, 53, 53, 53, 53, 52, 52, 51, 51, 51, 51, 49, 50, 63, 63, 79, 79, 79, 79, 97, 97, 97, 97, 97, 97, 97, 97, 117, 117, 117, 117, 139,139,139,139,139,139,139,139, 163,163,163,163,163,163,163,163, & + 56, 56, 55, 55, 54, 54, 53, 53, 53, 53, 52, 52, 51, 51, 51, 51, 50, 49, 63, 63, 79, 79, 79, 79, 97, 97, 97, 97, 97, 97, 97, 97, 117, 117, 117, 117, 139,139,139,139,139,139,139,139, 163,163,163,163,163,163,163,163, & + ! + 72, 72, 71, 71, 70, 70, 69, 69, 69, 69, 68, 68, 67, 67, 67, 67, 66, 66, 64, 65, 80, 80, 80, 80, 98, 98, 98, 98, 98, 98, 98, 98, 118, 118, 118, 118, 140,140,140,140,140,140,140,140, 164,164,164,164,164,164,164,164, & + 72, 72, 71, 71, 70, 70, 69, 69, 69, 69, 68, 68, 67, 67, 67, 67, 66, 66, 65, 64, 80, 80, 80, 80, 98, 98, 98, 98, 98, 98, 98, 98, 118, 118, 118, 118, 140,140,140,140,140,140,140,140, 164,164,164,164,164,164,164,164, & + ! + 90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 81, 82, 82, 82, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, & + 90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 82, 81, 82, 82, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, & + 90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 82, 82, 81, 82, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, & + 90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 82, 82, 82, 81, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, & + ! + 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 100,101,101,101,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & + 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,100,101,101,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & + 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,100,101,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & + 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,100,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & + 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,100,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & + 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,101,100,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & + 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,101,101,100,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & + 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,101,101,101,100, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & + ! + 132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 122, 122, 122, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, & + 132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 121, 122, 122, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, & + 132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 122, 121, 122, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, & + 132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 122, 122, 121, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, & + ! + 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 144,145,145,145,145,145,145,145, 168,168,168,168,168,168,168,168, & + 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,144,145,145,145,145,145,145, 168,168,168,168,168,168,168,168, & + 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,144,145,145,145,145,145, 168,168,168,168,168,168,168,168, & + 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,144,145,145,145,145, 168,168,168,168,168,168,168,168, & + 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,144,145,145,145, 168,168,168,168,168,168,168,168, & + 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,145,144,145,145, 168,168,168,168,168,168,168,168, & + 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,145,145,144,145, 168,168,168,168,168,168,168,168, & + 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,145,145,145,144, 168,168,168,168,168,168,168,168, & + ! + 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,170,170,170, & + 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,169,170,170,170,170,170,170, & + 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,170,169,170,170,170,170,170, & + 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,170,170,169,170,170,170,170, & + 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,170,170,170,169,170,170,170, & + 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,169,170,170, & + 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,170,169,170, & + 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,170,170,169 & + ],shape(BCT_INTERACTIONSLIPSLIP)) + + + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='lattice_interaction_SlipBySlip: '//trim(structure)) + + select case(structure(1:3)) + case('fcc') + interactionTypes = FCC_INTERACTIONSLIPSLIP + NslipMax = LATTICE_FCC_NSLIPSYSTEM + case('bcc') + interactionTypes = BCC_INTERACTIONSLIPSLIP + NslipMax = LATTICE_BCC_NSLIPSYSTEM + case('hex') + interactionTypes = HEX_INTERACTIONSLIPSLIP + NslipMax = LATTICE_HEX_NSLIPSYSTEM + case('bct') + interactionTypes = BCT_INTERACTIONSLIPSLIP + NslipMax = LATTICE_BCT_NSLIPSYSTEM + case default + call IO_error(137,ext_msg='lattice_interaction_SlipBySlip: '//trim(structure)) + end select + + interactionMatrix = buildInteraction(Nslip,Nslip,NslipMax,NslipMax,interactionValues,interactionTypes) + end function lattice_interaction_SlipBySlip - - + + !-------------------------------------------------------------------------------------------------- !> @brief Twin-twin interaction matrix !> details only active twin systems are considered !-------------------------------------------------------------------------------------------------- function lattice_interaction_TwinByTwin(Ntwin,interactionValues,structure) result(interactionMatrix) - use IO, only: & - IO_error - - implicit none - integer, dimension(:), intent(in) :: Ntwin !< number of active twin systems per family - real(pReal), dimension(:), intent(in) :: interactionValues !< values for twin-twin interaction - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), dimension(sum(Ntwin),sum(Ntwin)) :: interactionMatrix - - integer, dimension(:), allocatable :: NtwinMax - integer, dimension(:,:), allocatable :: interactionTypes - - integer, dimension(LATTICE_FCC_NTWIN,LATTICE_FCC_NTWIN), parameter :: & - FCC_INTERACTIONTWINTWIN = reshape( [& - 1,1,1,2,2,2,2,2,2,2,2,2, & - 1,1,1,2,2,2,2,2,2,2,2,2, & - 1,1,1,2,2,2,2,2,2,2,2,2, & - 2,2,2,1,1,1,2,2,2,2,2,2, & - 2,2,2,1,1,1,2,2,2,2,2,2, & - 2,2,2,1,1,1,2,2,2,2,2,2, & - 2,2,2,2,2,2,1,1,1,2,2,2, & - 2,2,2,2,2,2,1,1,1,2,2,2, & - 2,2,2,2,2,2,1,1,1,2,2,2, & - 2,2,2,2,2,2,2,2,2,1,1,1, & - 2,2,2,2,2,2,2,2,2,1,1,1, & - 2,2,2,2,2,2,2,2,2,1,1,1 & - ],shape(FCC_INTERACTIONTWINTWIN)) !< Twin-twin interaction types for fcc - - integer, dimension(LATTICE_BCC_NTWIN,LATTICE_BCC_NTWIN), parameter :: & - BCC_INTERACTIONTWINTWIN = reshape( [& - 1,3,3,3,3,3,3,2,3,3,2,3, & - 3,1,3,3,3,3,2,3,3,3,3,2, & - 3,3,1,3,3,2,3,3,2,3,3,3, & - 3,3,3,1,2,3,3,3,3,2,3,3, & - 3,3,3,2,1,3,3,3,3,2,3,3, & - 3,3,2,3,3,1,3,3,2,3,3,3, & - 3,2,3,3,3,3,1,3,3,3,3,2, & - 2,3,3,3,3,3,3,1,3,3,2,3, & - 3,3,2,3,3,2,3,3,1,3,3,3, & - 3,3,3,2,2,3,3,3,3,1,3,3, & - 2,3,3,3,3,3,3,2,3,3,1,3, & - 3,2,3,3,3,3,2,3,3,3,3,1 & - ],shape(BCC_INTERACTIONTWINTWIN)) !< Twin-twin interaction types for bcc + use IO, only: & + IO_error + + integer, dimension(:), intent(in) :: Ntwin !< number of active twin systems per family + real(pReal), dimension(:), intent(in) :: interactionValues !< values for twin-twin interaction + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), dimension(sum(Ntwin),sum(Ntwin)) :: interactionMatrix + + integer, dimension(:), allocatable :: NtwinMax + integer, dimension(:,:), allocatable :: interactionTypes + + integer, dimension(LATTICE_FCC_NTWIN,LATTICE_FCC_NTWIN), parameter :: & + FCC_INTERACTIONTWINTWIN = reshape( [& + 1,1,1,2,2,2,2,2,2,2,2,2, & ! -----> acting + 1,1,1,2,2,2,2,2,2,2,2,2, & ! | + 1,1,1,2,2,2,2,2,2,2,2,2, & ! | + 2,2,2,1,1,1,2,2,2,2,2,2, & ! v + 2,2,2,1,1,1,2,2,2,2,2,2, & ! reacting + 2,2,2,1,1,1,2,2,2,2,2,2, & + 2,2,2,2,2,2,1,1,1,2,2,2, & + 2,2,2,2,2,2,1,1,1,2,2,2, & + 2,2,2,2,2,2,1,1,1,2,2,2, & + 2,2,2,2,2,2,2,2,2,1,1,1, & + 2,2,2,2,2,2,2,2,2,1,1,1, & + 2,2,2,2,2,2,2,2,2,1,1,1 & + ],shape(FCC_INTERACTIONTWINTWIN)) !< Twin-twin interaction types for fcc + + integer, dimension(LATTICE_BCC_NTWIN,LATTICE_BCC_NTWIN), parameter :: & + BCC_INTERACTIONTWINTWIN = reshape( [& + 1,3,3,3,3,3,3,2,3,3,2,3, & ! -----> acting + 3,1,3,3,3,3,2,3,3,3,3,2, & ! | + 3,3,1,3,3,2,3,3,2,3,3,3, & ! | + 3,3,3,1,2,3,3,3,3,2,3,3, & ! v + 3,3,3,2,1,3,3,3,3,2,3,3, & ! reacting + 3,3,2,3,3,1,3,3,2,3,3,3, & + 3,2,3,3,3,3,1,3,3,3,3,2, & + 2,3,3,3,3,3,3,1,3,3,2,3, & + 3,3,2,3,3,2,3,3,1,3,3,3, & + 3,3,3,2,2,3,3,3,3,1,3,3, & + 2,3,3,3,3,3,3,2,3,3,1,3, & + 3,2,3,3,3,3,2,3,3,3,3,1 & + ],shape(BCC_INTERACTIONTWINTWIN)) !< Twin-twin interaction types for bcc !< 1: self interaction !< 2: collinear interaction !< 3: other interaction - integer, dimension(LATTICE_HEX_NTWIN,LATTICE_HEX_NTWIN), parameter :: & - HEX_INTERACTIONTWINTWIN = reshape( [& - 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & - 2, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & - 2, 2, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & - 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & - 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & - 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & - ! - 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & - 6, 6, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & - 6, 6, 6, 6, 6, 6, 5, 5, 4, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & - 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & - 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & - 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & - ! - 12,12,12,12,12,12, 11,11,11,11,11,11, 9,10,10,10,10,10, 15,15,15,15,15,15, & - 12,12,12,12,12,12, 11,11,11,11,11,11, 10, 9,10,10,10,10, 15,15,15,15,15,15, & - 12,12,12,12,12,12, 11,11,11,11,11,11, 10,10, 9,10,10,10, 15,15,15,15,15,15, & - 12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10, 9,10,10, 15,15,15,15,15,15, & - 12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10,10, 9,10, 15,15,15,15,15,15, & - 12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10,10,10, 9, 15,15,15,15,15,15, & - ! - 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 16,17,17,17,17,17, & - 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,16,17,17,17,17, & - 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,16,17,17,17, & - 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,17,16,17,17, & - 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,17,17,16,17, & - 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,17,17,17,16 & - ],shape(HEX_INTERACTIONTWINTWIN)) !< Twin-twin interaction types for hex - - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='lattice_interaction_TwinByTwin: '//trim(structure)) - - select case(structure(1:3)) - case('fcc') - interactionTypes = FCC_INTERACTIONTWINTWIN - NtwinMax = LATTICE_FCC_NTWINSYSTEM - case('bcc') - interactionTypes = BCC_INTERACTIONTWINTWIN - NtwinMax = LATTICE_BCC_NTWINSYSTEM - case('hex') - interactionTypes = HEX_INTERACTIONTWINTWIN - NtwinMax = LATTICE_HEX_NTWINSYSTEM - case default - call IO_error(137,ext_msg='lattice_interaction_TwinByTwin: '//trim(structure)) - end select - - interactionMatrix = buildInteraction(Ntwin,Ntwin,NtwinMax,NtwinMax,interactionValues,interactionTypes) - + integer, dimension(LATTICE_HEX_NTWIN,LATTICE_HEX_NTWIN), parameter :: & + HEX_INTERACTIONTWINTWIN = reshape( [& + 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! -----> acting + 2, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! | + 2, 2, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! | + 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! v + 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! reacting + 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & + ! + 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & + 6, 6, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & + 6, 6, 6, 6, 6, 6, 5, 5, 4, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & + 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & + 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & + 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & + ! + 12,12,12,12,12,12, 11,11,11,11,11,11, 9,10,10,10,10,10, 15,15,15,15,15,15, & + 12,12,12,12,12,12, 11,11,11,11,11,11, 10, 9,10,10,10,10, 15,15,15,15,15,15, & + 12,12,12,12,12,12, 11,11,11,11,11,11, 10,10, 9,10,10,10, 15,15,15,15,15,15, & + 12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10, 9,10,10, 15,15,15,15,15,15, & + 12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10,10, 9,10, 15,15,15,15,15,15, & + 12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10,10,10, 9, 15,15,15,15,15,15, & + ! + 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 16,17,17,17,17,17, & + 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,16,17,17,17,17, & + 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,16,17,17,17, & + 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,17,16,17,17, & + 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,17,17,16,17, & + 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,17,17,17,16 & + ],shape(HEX_INTERACTIONTWINTWIN)) !< Twin-twin interaction types for hex + + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='lattice_interaction_TwinByTwin: '//trim(structure)) + + select case(structure(1:3)) + case('fcc') + interactionTypes = FCC_INTERACTIONTWINTWIN + NtwinMax = LATTICE_FCC_NTWINSYSTEM + case('bcc') + interactionTypes = BCC_INTERACTIONTWINTWIN + NtwinMax = LATTICE_BCC_NTWINSYSTEM + case('hex') + interactionTypes = HEX_INTERACTIONTWINTWIN + NtwinMax = LATTICE_HEX_NTWINSYSTEM + case default + call IO_error(137,ext_msg='lattice_interaction_TwinByTwin: '//trim(structure)) + end select + + interactionMatrix = buildInteraction(Ntwin,Ntwin,NtwinMax,NtwinMax,interactionValues,interactionTypes) + end function lattice_interaction_TwinByTwin - - + + !-------------------------------------------------------------------------------------------------- !> @brief Trans-trans interaction matrix !> details only active trans systems are considered !-------------------------------------------------------------------------------------------------- function lattice_interaction_TransByTrans(Ntrans,interactionValues,structure) result(interactionMatrix) - use IO, only: & - IO_error - - implicit none - integer, dimension(:), intent(in) :: Ntrans !< number of active trans systems per family - real(pReal), dimension(:), intent(in) :: interactionValues !< values for trans-trans interaction - character(len=*), intent(in) :: structure !< lattice structure (parent crystal) - real(pReal), dimension(sum(Ntrans),sum(Ntrans)) :: interactionMatrix - - integer, dimension(:), allocatable :: NtransMax - integer, dimension(:,:), allocatable :: interactionTypes - - integer, dimension(LATTICE_FCC_NTRANS,LATTICE_FCC_NTRANS), parameter :: & - FCC_INTERACTIONTRANSTRANS = reshape( [& - 1,1,1,2,2,2,2,2,2,2,2,2, & - 1,1,1,2,2,2,2,2,2,2,2,2, & - 1,1,1,2,2,2,2,2,2,2,2,2, & - 2,2,2,1,1,1,2,2,2,2,2,2, & - 2,2,2,1,1,1,2,2,2,2,2,2, & - 2,2,2,1,1,1,2,2,2,2,2,2, & - 2,2,2,2,2,2,1,1,1,2,2,2, & - 2,2,2,2,2,2,1,1,1,2,2,2, & - 2,2,2,2,2,2,1,1,1,2,2,2, & - 2,2,2,2,2,2,2,2,2,1,1,1, & - 2,2,2,2,2,2,2,2,2,1,1,1, & - 2,2,2,2,2,2,2,2,2,1,1,1 & - ],shape(FCC_INTERACTIONTRANSTRANS)) !< Trans-trans interaction types for fcc - - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='lattice_interaction_TransByTrans: '//trim(structure)) - - if(structure(1:3) == 'fcc') then - interactionTypes = FCC_INTERACTIONTRANSTRANS - NtransMax = LATTICE_FCC_NTRANSSYSTEM - else - call IO_error(137,ext_msg='lattice_interaction_TransByTrans: '//trim(structure)) - end if - - interactionMatrix = buildInteraction(Ntrans,Ntrans,NtransMax,NtransMax,interactionValues,interactionTypes) - + use IO, only: & + IO_error + + integer, dimension(:), intent(in) :: Ntrans !< number of active trans systems per family + real(pReal), dimension(:), intent(in) :: interactionValues !< values for trans-trans interaction + character(len=*), intent(in) :: structure !< lattice structure (parent crystal) + real(pReal), dimension(sum(Ntrans),sum(Ntrans)) :: interactionMatrix + + integer, dimension(:), allocatable :: NtransMax + integer, dimension(:,:), allocatable :: interactionTypes + + integer, dimension(LATTICE_FCC_NTRANS,LATTICE_FCC_NTRANS), parameter :: & + FCC_INTERACTIONTRANSTRANS = reshape( [& + 1,1,1,2,2,2,2,2,2,2,2,2, & ! -----> acting + 1,1,1,2,2,2,2,2,2,2,2,2, & ! | + 1,1,1,2,2,2,2,2,2,2,2,2, & ! | + 2,2,2,1,1,1,2,2,2,2,2,2, & ! v + 2,2,2,1,1,1,2,2,2,2,2,2, & ! reacting + 2,2,2,1,1,1,2,2,2,2,2,2, & + 2,2,2,2,2,2,1,1,1,2,2,2, & + 2,2,2,2,2,2,1,1,1,2,2,2, & + 2,2,2,2,2,2,1,1,1,2,2,2, & + 2,2,2,2,2,2,2,2,2,1,1,1, & + 2,2,2,2,2,2,2,2,2,1,1,1, & + 2,2,2,2,2,2,2,2,2,1,1,1 & + ],shape(FCC_INTERACTIONTRANSTRANS)) !< Trans-trans interaction types for fcc + + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='lattice_interaction_TransByTrans: '//trim(structure)) + + if(structure(1:3) == 'fcc') then + interactionTypes = FCC_INTERACTIONTRANSTRANS + NtransMax = LATTICE_FCC_NTRANSSYSTEM + else + call IO_error(137,ext_msg='lattice_interaction_TransByTrans: '//trim(structure)) + end if + + interactionMatrix = buildInteraction(Ntrans,Ntrans,NtransMax,NtransMax,interactionValues,interactionTypes) + end function lattice_interaction_TransByTrans - - + + !-------------------------------------------------------------------------------------------------- !> @brief Slip-twin interaction matrix !> details only active slip and twin systems are considered !-------------------------------------------------------------------------------------------------- function lattice_interaction_SlipByTwin(Nslip,Ntwin,interactionValues,structure) result(interactionMatrix) - use IO, only: & - IO_error - - implicit none - integer, dimension(:), intent(in) :: Nslip, & !< number of active slip systems per family - Ntwin !< number of active twin systems per family - real(pReal), dimension(:), intent(in) :: interactionValues !< values for slip-twin interaction - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), dimension(sum(Ntwin),sum(Nslip)) :: interactionMatrix - - integer, dimension(:), allocatable :: NslipMax, & - NtwinMax - integer, dimension(:,:), allocatable :: interactionTypes - - integer, dimension(LATTICE_FCC_NTWIN,LATTICE_FCC_NSLIP), parameter :: & - FCC_INTERACTIONSLIPTWIN = reshape( [& - 1,1,1,3,3,3,2,2,2,3,3,3, & ! -----> twin - 1,1,1,3,3,3,3,3,3,2,2,2, & ! | - 1,1,1,2,2,2,3,3,3,3,3,3, & ! | - 3,3,3,1,1,1,3,3,3,2,2,2, & ! v slip - 3,3,3,1,1,1,2,2,2,3,3,3, & - 2,2,2,1,1,1,3,3,3,3,3,3, & - 2,2,2,3,3,3,1,1,1,3,3,3, & - 3,3,3,2,2,2,1,1,1,3,3,3, & - 3,3,3,3,3,3,1,1,1,2,2,2, & - 3,3,3,2,2,2,3,3,3,1,1,1, & - 2,2,2,3,3,3,3,3,3,1,1,1, & - 3,3,3,3,3,3,2,2,2,1,1,1, & - - 4,4,4,4,4,4,4,4,4,4,4,4, & - 4,4,4,4,4,4,4,4,4,4,4,4, & - 4,4,4,4,4,4,4,4,4,4,4,4, & - 4,4,4,4,4,4,4,4,4,4,4,4, & - 4,4,4,4,4,4,4,4,4,4,4,4, & - 4,4,4,4,4,4,4,4,4,4,4,4 & - ],shape(FCC_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for fcc + use IO, only: & + IO_error + + integer, dimension(:), intent(in) :: Nslip, & !< number of active slip systems per family + Ntwin !< number of active twin systems per family + real(pReal), dimension(:), intent(in) :: interactionValues !< values for slip-twin interaction + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), dimension(sum(Nslip),sum(Ntwin)) :: interactionMatrix + + integer, dimension(:), allocatable :: NslipMax, & + NtwinMax + integer, dimension(:,:), allocatable :: interactionTypes + + integer, dimension(LATTICE_FCC_NTWIN,LATTICE_FCC_NSLIP), parameter :: & + FCC_INTERACTIONSLIPTWIN = reshape( [& + 1,1,1,3,3,3,2,2,2,3,3,3, & ! -----> twin (acting) + 1,1,1,3,3,3,3,3,3,2,2,2, & ! | + 1,1,1,2,2,2,3,3,3,3,3,3, & ! | + 3,3,3,1,1,1,3,3,3,2,2,2, & ! v + 3,3,3,1,1,1,2,2,2,3,3,3, & ! slip (reacting) + 2,2,2,1,1,1,3,3,3,3,3,3, & + 2,2,2,3,3,3,1,1,1,3,3,3, & + 3,3,3,2,2,2,1,1,1,3,3,3, & + 3,3,3,3,3,3,1,1,1,2,2,2, & + 3,3,3,2,2,2,3,3,3,1,1,1, & + 2,2,2,3,3,3,3,3,3,1,1,1, & + 3,3,3,3,3,3,2,2,2,1,1,1, & + + 4,4,4,4,4,4,4,4,4,4,4,4, & + 4,4,4,4,4,4,4,4,4,4,4,4, & + 4,4,4,4,4,4,4,4,4,4,4,4, & + 4,4,4,4,4,4,4,4,4,4,4,4, & + 4,4,4,4,4,4,4,4,4,4,4,4, & + 4,4,4,4,4,4,4,4,4,4,4,4 & + ],shape(FCC_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for fcc !< 1: coplanar interaction !< 2: screw trace between slip system and twin habit plane (easy cross slip) !< 3: other interaction - integer, dimension(LATTICE_BCC_NTWIN,LATTICE_BCC_NSLIP), parameter :: & - BCC_INTERACTIONSLIPTWIN = reshape( [& - 3,3,3,2,2,3,3,3,3,2,3,3, & ! -----> twin - 3,3,2,3,3,2,3,3,2,3,3,3, & ! | - 3,2,3,3,3,3,2,3,3,3,3,2, & ! | - 2,3,3,3,3,3,3,2,3,3,2,3, & ! v slip - 2,3,3,3,3,3,3,2,3,3,2,3, & - 3,3,2,3,3,2,3,3,2,3,3,3, & - 3,2,3,3,3,3,2,3,3,3,3,2, & - 3,3,3,2,2,3,3,3,3,2,3,3, & - 2,3,3,3,3,3,3,2,3,3,2,3, & - 3,3,3,2,2,3,3,3,3,2,3,3, & - 3,2,3,3,3,3,2,3,3,3,3,2, & - 3,3,2,3,3,2,3,3,2,3,3,3, & + integer, dimension(LATTICE_BCC_NTWIN,LATTICE_BCC_NSLIP), parameter :: & + BCC_INTERACTIONSLIPTWIN = reshape( [& + 3,3,3,2,2,3,3,3,3,2,3,3, & ! -----> twin (acting) + 3,3,2,3,3,2,3,3,2,3,3,3, & ! | + 3,2,3,3,3,3,2,3,3,3,3,2, & ! | + 2,3,3,3,3,3,3,2,3,3,2,3, & ! v + 2,3,3,3,3,3,3,2,3,3,2,3, & ! slip (reacting) + 3,3,2,3,3,2,3,3,2,3,3,3, & + 3,2,3,3,3,3,2,3,3,3,3,2, & + 3,3,3,2,2,3,3,3,3,2,3,3, & + 2,3,3,3,3,3,3,2,3,3,2,3, & + 3,3,3,2,2,3,3,3,3,2,3,3, & + 3,2,3,3,3,3,2,3,3,3,3,2, & + 3,3,2,3,3,2,3,3,2,3,3,3, & + ! + 1,3,3,3,3,3,3,2,3,3,2,3, & + 3,1,3,3,3,3,2,3,3,3,3,2, & + 3,3,1,3,3,2,3,3,2,3,3,3, & + 3,3,3,1,2,3,3,3,3,2,3,3, & + 3,3,3,2,1,3,3,3,3,2,3,3, & + 3,3,2,3,3,1,3,3,2,3,3,3, & + 3,2,3,3,3,3,1,3,3,3,3,2, & + 2,3,3,3,3,3,3,1,3,3,2,3, & + 3,3,2,3,3,2,3,3,1,3,3,3, & + 3,3,3,2,2,3,3,3,3,1,3,3, & + 2,3,3,3,3,3,3,2,3,3,1,3, & + 3,2,3,3,3,3,2,3,3,3,3,1 & + ],shape(BCC_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for bcc + !< 1: coplanar interaction + !< 2: screw trace between slip system and twin habit plane (easy cross slip) + !< 3: other interaction + integer, dimension(LATTICE_HEX_NTWIN,LATTICE_HEX_NSLIP), parameter :: & + HEX_INTERACTIONSLIPTWIN = reshape( [& + 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! ----> twin (acting) + 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! | + 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! | + ! v + 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, & ! slip (reacting) + 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, & + 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, & ! - 1,3,3,3,3,3,3,2,3,3,2,3, & - 3,1,3,3,3,3,2,3,3,3,3,2, & - 3,3,1,3,3,2,3,3,2,3,3,3, & - 3,3,3,1,2,3,3,3,3,2,3,3, & - 3,3,3,2,1,3,3,3,3,2,3,3, & - 3,3,2,3,3,1,3,3,2,3,3,3, & - 3,2,3,3,3,3,1,3,3,3,3,2, & - 2,3,3,3,3,3,3,1,3,3,2,3, & - 3,3,2,3,3,2,3,3,1,3,3,3, & - 3,3,3,2,2,3,3,3,3,1,3,3, & - 2,3,3,3,3,3,3,2,3,3,1,3, & - 3,2,3,3,3,3,2,3,3,3,3,1 & - ],shape(BCC_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for bcc - !< 1: coplanar interaction - !< 2: screw trace between slip system and twin habit plane (easy cross slip) - !< 3: other interaction - integer, dimension(LATTICE_HEX_NTWIN,LATTICE_HEX_NSLIP), parameter :: & - HEX_INTERACTIONSLIPTWIN = reshape( [& - 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! ----> twin - 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! | - 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! | - ! v - 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, & ! slip - 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, & - 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, & - ! - 9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, & - 9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, & - 9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, & - ! - 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & - 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & - 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & - 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & - 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & - 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & - ! - 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & - 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & - 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & - 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & - 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & - 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & - 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & - 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & - 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & - 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & - 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & - 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & - ! - 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & - 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & - 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & - 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & - 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & - 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24 & - ! - ],shape(HEX_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for hex - - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='lattice_interaction_SlipByTwin: '//trim(structure)) - - select case(structure(1:3)) - case('fcc') - interactionTypes = FCC_INTERACTIONSLIPTWIN - NslipMax = LATTICE_FCC_NSLIPSYSTEM - NtwinMax = LATTICE_FCC_NTWINSYSTEM - case('bcc') - interactionTypes = BCC_INTERACTIONSLIPTWIN - NslipMax = LATTICE_BCC_NSLIPSYSTEM - NtwinMax = LATTICE_BCC_NTWINSYSTEM - case('hex') - interactionTypes = HEX_INTERACTIONSLIPTWIN - NslipMax = LATTICE_HEX_NSLIPSYSTEM - NtwinMax = LATTICE_HEX_NTWINSYSTEM - case default - call IO_error(137,ext_msg='lattice_interaction_SlipByTwin: '//trim(structure)) - end select - - interactionMatrix = buildInteraction(Ntwin,Nslip,NtwinMax,NslipMax,interactionValues,interactionTypes) - + 9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, & + 9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, & + 9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, & + ! + 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & + 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & + 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & + 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & + 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & + 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & + ! + 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & + 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & + 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & + 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & + 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & + 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & + 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & + 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & + 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & + 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & + 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & + 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & + ! + 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & + 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & + 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & + 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & + 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & + 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24 & + ! + ],shape(HEX_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for hex + + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='lattice_interaction_SlipByTwin: '//trim(structure)) + + select case(structure(1:3)) + case('fcc') + interactionTypes = FCC_INTERACTIONSLIPTWIN + NslipMax = LATTICE_FCC_NSLIPSYSTEM + NtwinMax = LATTICE_FCC_NTWINSYSTEM + case('bcc') + interactionTypes = BCC_INTERACTIONSLIPTWIN + NslipMax = LATTICE_BCC_NSLIPSYSTEM + NtwinMax = LATTICE_BCC_NTWINSYSTEM + case('hex') + interactionTypes = HEX_INTERACTIONSLIPTWIN + NslipMax = LATTICE_HEX_NSLIPSYSTEM + NtwinMax = LATTICE_HEX_NTWINSYSTEM + case default + call IO_error(137,ext_msg='lattice_interaction_SlipByTwin: '//trim(structure)) + end select + + interactionMatrix = buildInteraction(Nslip,Ntwin,NslipMax,NtwinMax,interactionValues,interactionTypes) + end function lattice_interaction_SlipByTwin - - + + !-------------------------------------------------------------------------------------------------- !> @brief Slip-trans interaction matrix !> details only active slip and trans systems are considered !-------------------------------------------------------------------------------------------------- function lattice_interaction_SlipByTrans(Nslip,Ntrans,interactionValues,structure) result(interactionMatrix) - use IO, only: & - IO_error - - implicit none - integer, dimension(:), intent(in) :: Nslip, & !< number of active slip systems per family - Ntrans !< number of active trans systems per family - real(pReal), dimension(:), intent(in) :: interactionValues !< values for slip-trans interaction - character(len=*), intent(in) :: structure !< lattice structure (parent crystal) - real(pReal), dimension(sum(Ntrans),sum(Nslip)) :: interactionMatrix - - integer, dimension(:), allocatable :: NslipMax, & - NtransMax - integer, dimension(:,:), allocatable :: interactionTypes - - integer, dimension(LATTICE_FCC_NTRANS,LATTICE_FCC_NSLIP), parameter :: & - FCC_INTERACTIONSLIPTRANS = reshape( [& - 1,1,1,3,3,3,2,2,2,3,3,3, & ! -----> trans - 1,1,1,3,3,3,3,3,3,2,2,2, & ! | - 1,1,1,2,2,2,3,3,3,3,3,3, & ! | - 3,3,3,1,1,1,3,3,3,2,2,2, & ! v slip - 3,3,3,1,1,1,2,2,2,3,3,3, & - 2,2,2,1,1,1,3,3,3,3,3,3, & - 2,2,2,3,3,3,1,1,1,3,3,3, & - 3,3,3,2,2,2,1,1,1,3,3,3, & - 3,3,3,3,3,3,1,1,1,2,2,2, & - 3,3,3,2,2,2,3,3,3,1,1,1, & - 2,2,2,3,3,3,3,3,3,1,1,1, & - 3,3,3,3,3,3,2,2,2,1,1,1, & - - 4,4,4,4,4,4,4,4,4,4,4,4, & - 4,4,4,4,4,4,4,4,4,4,4,4, & - 4,4,4,4,4,4,4,4,4,4,4,4, & - 4,4,4,4,4,4,4,4,4,4,4,4, & - 4,4,4,4,4,4,4,4,4,4,4,4, & - 4,4,4,4,4,4,4,4,4,4,4,4 & - ],shape(FCC_INTERACTIONSLIPTRANS)) !< Slip-trans interaction types for fcc - - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='lattice_interaction_SlipByTrans: '//trim(structure)) - - select case(structure(1:3)) - case('fcc') - interactionTypes = FCC_INTERACTIONSLIPTRANS - NslipMax = LATTICE_FCC_NSLIPSYSTEM - NtransMax = LATTICE_FCC_NTRANSSYSTEM - case default - call IO_error(137,ext_msg='lattice_interaction_SlipByTrans: '//trim(structure)) - end select - - interactionMatrix = buildInteraction(Ntrans,Nslip,NtransMax,NslipMax,interactionValues,interactionTypes) - -end function lattice_interaction_SlipByTrans - - + use IO, only: & + IO_error + + integer, dimension(:), intent(in) :: Nslip, & !< number of active slip systems per family + Ntrans !< number of active trans systems per family + real(pReal), dimension(:), intent(in) :: interactionValues !< values for slip-trans interaction + character(len=*), intent(in) :: structure !< lattice structure (parent crystal) + real(pReal), dimension(sum(Nslip),sum(Ntrans)) :: interactionMatrix + + integer, dimension(:), allocatable :: NslipMax, & + NtransMax + integer, dimension(:,:), allocatable :: interactionTypes + + integer, dimension(LATTICE_FCC_NTRANS,LATTICE_FCC_NSLIP), parameter :: & + FCC_INTERACTIONSLIPTRANS = reshape( [& + 1,1,1,3,3,3,2,2,2,3,3,3, & ! -----> trans (acting) + 1,1,1,3,3,3,3,3,3,2,2,2, & ! | + 1,1,1,2,2,2,3,3,3,3,3,3, & ! | + 3,3,3,1,1,1,3,3,3,2,2,2, & ! v + 3,3,3,1,1,1,2,2,2,3,3,3, & ! slip (reacting) + 2,2,2,1,1,1,3,3,3,3,3,3, & + 2,2,2,3,3,3,1,1,1,3,3,3, & + 3,3,3,2,2,2,1,1,1,3,3,3, & + 3,3,3,3,3,3,1,1,1,2,2,2, & + 3,3,3,2,2,2,3,3,3,1,1,1, & + 2,2,2,3,3,3,3,3,3,1,1,1, & + 3,3,3,3,3,3,2,2,2,1,1,1, & + + 4,4,4,4,4,4,4,4,4,4,4,4, & + 4,4,4,4,4,4,4,4,4,4,4,4, & + 4,4,4,4,4,4,4,4,4,4,4,4, & + 4,4,4,4,4,4,4,4,4,4,4,4, & + 4,4,4,4,4,4,4,4,4,4,4,4, & + 4,4,4,4,4,4,4,4,4,4,4,4 & + ],shape(FCC_INTERACTIONSLIPTRANS)) !< Slip-trans interaction types for fcc + + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='lattice_interaction_SlipByTrans: '//trim(structure)) + + select case(structure(1:3)) + case('fcc') + interactionTypes = FCC_INTERACTIONSLIPTRANS + NslipMax = LATTICE_FCC_NSLIPSYSTEM + NtransMax = LATTICE_FCC_NTRANSSYSTEM + case default + call IO_error(137,ext_msg='lattice_interaction_SlipByTrans: '//trim(structure)) + end select + + interactionMatrix = buildInteraction(Nslip,Ntrans,NslipMax,NtransMax,interactionValues,interactionTypes) + + end function lattice_interaction_SlipByTrans + + !-------------------------------------------------------------------------------------------------- !> @brief Twin-slip interaction matrix !> details only active twin and slip systems are considered !-------------------------------------------------------------------------------------------------- function lattice_interaction_TwinBySlip(Ntwin,Nslip,interactionValues,structure) result(interactionMatrix) - use IO, only: & - IO_error - - implicit none - integer, dimension(:), intent(in) :: Ntwin, & !< number of active twin systems per family - Nslip !< number of active slip systems per family - real(pReal), dimension(:), intent(in) :: interactionValues !< values for twin-twin interaction - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), dimension(sum(Nslip),sum(Ntwin)) :: interactionMatrix - - integer, dimension(:), allocatable :: NtwinMax, & - NslipMax - integer, dimension(:,:), allocatable :: interactionTypes - - integer, dimension(LATTICE_FCC_NSLIP,LATTICE_FCC_NTWIN), parameter :: & - FCC_INTERACTIONTWINSLIP = 1 !< Twin-Slip interaction types for fcc - - integer, dimension(LATTICE_BCC_NSLIP,LATTICE_BCC_NTWIN), parameter :: & - BCC_INTERACTIONTWINSLIP = 1 !< Twin-slip interaction types for bcc - - integer, dimension(LATTICE_HEX_NSLIP,LATTICE_HEX_NTWIN), parameter :: & - HEX_INTERACTIONTWINSLIP = reshape( [& - 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! ----> slip - 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! | - 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! | - 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! v - 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! twin - 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & - ! - 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & - 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & - 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & - 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & - 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & - 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & - ! - 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & - 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & - 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & - 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & - 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & - 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & - ! - 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & - 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & - 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & - 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & - 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & - 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24 & - ],shape(HEX_INTERACTIONTWINSLIP)) !< Twin-twin interaction types for hex - - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='lattice_interaction_TwinBySlip: '//trim(structure)) - - select case(structure(1:3)) - case('fcc') - interactionTypes = FCC_INTERACTIONTWINSLIP - NtwinMax = LATTICE_FCC_NTWINSYSTEM - NslipMax = LATTICE_FCC_NSLIPSYSTEM - case('bcc') - interactionTypes = BCC_INTERACTIONTWINSLIP - NtwinMax = LATTICE_BCC_NTWINSYSTEM - NslipMax = LATTICE_BCC_NSLIPSYSTEM - case('hex') - interactionTypes = HEX_INTERACTIONTWINSLIP - NtwinMax = LATTICE_HEX_NTWINSYSTEM - NslipMax = LATTICE_HEX_NSLIPSYSTEM - case default - call IO_error(137,ext_msg='lattice_interaction_TwinBySlip: '//trim(structure)) - end select - - interactionMatrix = buildInteraction(Nslip,Ntwin,NslipMax,NtwinMax,interactionValues,interactionTypes) - + use IO, only: & + IO_error + + integer, dimension(:), intent(in) :: Ntwin, & !< number of active twin systems per family + Nslip !< number of active slip systems per family + real(pReal), dimension(:), intent(in) :: interactionValues !< values for twin-twin interaction + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), dimension(sum(Ntwin),sum(Nslip)) :: interactionMatrix + + integer, dimension(:), allocatable :: NtwinMax, & + NslipMax + integer, dimension(:,:), allocatable :: interactionTypes + + integer, dimension(LATTICE_FCC_NSLIP,LATTICE_FCC_NTWIN), parameter :: & + FCC_INTERACTIONTWINSLIP = 1 !< Twin-slip interaction types for fcc + + integer, dimension(LATTICE_BCC_NSLIP,LATTICE_BCC_NTWIN), parameter :: & + BCC_INTERACTIONTWINSLIP = 1 !< Twin-slip interaction types for bcc + + integer, dimension(LATTICE_HEX_NSLIP,LATTICE_HEX_NTWIN), parameter :: & + HEX_INTERACTIONTWINSLIP = reshape( [& + 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! ----> slip (acting) + 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! | + 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! | + 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! v + 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! twin (reacting) + 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & + ! + 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & + 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & + 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & + 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & + 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & + 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & + ! + 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & + 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & + 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & + 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & + 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & + 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & + ! + 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & + 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & + 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & + 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & + 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & + 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24 & + ],shape(HEX_INTERACTIONTWINSLIP)) !< Twin-slip interaction types for hex + + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='lattice_interaction_TwinBySlip: '//trim(structure)) + + select case(structure(1:3)) + case('fcc') + interactionTypes = FCC_INTERACTIONTWINSLIP + NtwinMax = LATTICE_FCC_NTWINSYSTEM + NslipMax = LATTICE_FCC_NSLIPSYSTEM + case('bcc') + interactionTypes = BCC_INTERACTIONTWINSLIP + NtwinMax = LATTICE_BCC_NTWINSYSTEM + NslipMax = LATTICE_BCC_NSLIPSYSTEM + case('hex') + interactionTypes = HEX_INTERACTIONTWINSLIP + NtwinMax = LATTICE_HEX_NTWINSYSTEM + NslipMax = LATTICE_HEX_NSLIPSYSTEM + case default + call IO_error(137,ext_msg='lattice_interaction_TwinBySlip: '//trim(structure)) + end select + + interactionMatrix = buildInteraction(Ntwin,Nslip,NtwinMax,NslipMax,interactionValues,interactionTypes) + end function lattice_interaction_TwinBySlip - - + + !-------------------------------------------------------------------------------------------------- !> @brief Schmid matrix for slip !> details only active slip systems are considered !-------------------------------------------------------------------------------------------------- function lattice_SchmidMatrix_slip(Nslip,structure,cOverA) result(SchmidMatrix) - use prec, only: & - tol_math_check - use IO, only: & - IO_error - use math, only: & - math_trace33, & - math_outer - - implicit none - integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), intent(in) :: cOverA - real(pReal), dimension(3,3,sum(Nslip)) :: SchmidMatrix - - real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem - real(pReal), dimension(:,:), allocatable :: slipSystems - integer, dimension(:), allocatable :: NslipMax - integer :: i + use prec, only: & + tol_math_check + use IO, only: & + IO_error + use math, only: & + math_trace33, & + math_outer + + integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), intent(in) :: cOverA + real(pReal), dimension(3,3,sum(Nslip)) :: SchmidMatrix + + real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem + real(pReal), dimension(:,:), allocatable :: slipSystems + integer, dimension(:), allocatable :: NslipMax + integer :: i + + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='lattice_SchmidMatrix_slip: '//trim(structure)) + + select case(structure(1:3)) + case('fcc') + NslipMax = LATTICE_FCC_NSLIPSYSTEM + slipSystems = LATTICE_FCC_SYSTEMSLIP + case('bcc') + NslipMax = LATTICE_BCC_NSLIPSYSTEM + slipSystems = LATTICE_BCC_SYSTEMSLIP + case('hex') + NslipMax = LATTICE_HEX_NSLIPSYSTEM + slipSystems = LATTICE_HEX_SYSTEMSLIP + case('bct') + NslipMax = LATTICE_BCT_NSLIPSYSTEM + slipSystems = LATTICE_BCT_SYSTEMSLIP + case default + call IO_error(137,ext_msg='lattice_SchmidMatrix_slip: '//trim(structure)) + end select + + if (any(NslipMax(1:size(Nslip)) - Nslip < 0)) & + call IO_error(145,ext_msg='Nslip '//trim(structure)) + if (any(Nslip < 0)) & + call IO_error(144,ext_msg='Nslip '//trim(structure)) + + coordinateSystem = buildCoordinateSystem(Nslip,NslipMax,slipSystems,structure,cOverA) + + do i = 1, sum(Nslip) + SchmidMatrix(1:3,1:3,i) = math_outer(coordinateSystem(1:3,1,i),coordinateSystem(1:3,2,i)) + if (abs(math_trace33(SchmidMatrix(1:3,1:3,i))) > tol_math_check) & + call IO_error(0,i,ext_msg = 'dilatational Schmid matrix for slip') + enddo - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='lattice_SchmidMatrix_slip: '//trim(structure)) - - select case(structure(1:3)) - case('fcc') - NslipMax = LATTICE_FCC_NSLIPSYSTEM - slipSystems = LATTICE_FCC_SYSTEMSLIP - case('bcc') - NslipMax = LATTICE_BCC_NSLIPSYSTEM - slipSystems = LATTICE_BCC_SYSTEMSLIP - case('hex') - NslipMax = LATTICE_HEX_NSLIPSYSTEM - slipSystems = LATTICE_HEX_SYSTEMSLIP - case('bct') - NslipMax = LATTICE_BCT_NSLIPSYSTEM - slipSystems = LATTICE_BCT_SYSTEMSLIP - case default - call IO_error(137,ext_msg='lattice_SchmidMatrix_slip: '//trim(structure)) - end select - - if (any(NslipMax(1:size(Nslip)) - Nslip < 0)) & - call IO_error(145,ext_msg='Nslip '//trim(structure)) - if (any(Nslip < 0)) & - call IO_error(144,ext_msg='Nslip '//trim(structure)) - - coordinateSystem = buildCoordinateSystem(Nslip,NslipMax,slipSystems,structure,cOverA) - - do i = 1, sum(Nslip) - SchmidMatrix(1:3,1:3,i) = math_outer(coordinateSystem(1:3,1,i),coordinateSystem(1:3,2,i)) - if (abs(math_trace33(SchmidMatrix(1:3,1:3,i))) > tol_math_check) & - call IO_error(0,i,ext_msg = 'dilatational Schmid matrix for slip') - enddo - end function lattice_SchmidMatrix_slip - - + + !-------------------------------------------------------------------------------------------------- !> @brief Schmid matrix for twinning !> details only active twin systems are considered !-------------------------------------------------------------------------------------------------- function lattice_SchmidMatrix_twin(Ntwin,structure,cOverA) result(SchmidMatrix) - use prec, only: & - tol_math_check - use IO, only: & - IO_error - use math, only: & - math_trace33, & - math_outer - - implicit none - integer, dimension(:), intent(in) :: Ntwin !< number of active twin systems per family - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), intent(in) :: cOverA !< c/a ratio - real(pReal), dimension(3,3,sum(Ntwin)) :: SchmidMatrix - - real(pReal), dimension(3,3,sum(Ntwin)) :: coordinateSystem - real(pReal), dimension(:,:), allocatable :: twinSystems - integer, dimension(:), allocatable :: NtwinMax - integer :: i - - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='lattice_SchmidMatrix_twin: '//trim(structure)) - - select case(structure(1:3)) - case('fcc') - NtwinMax = LATTICE_FCC_NTWINSYSTEM - twinSystems = LATTICE_FCC_SYSTEMTWIN - case('bcc') - NtwinMax = LATTICE_BCC_NTWINSYSTEM - twinSystems = LATTICE_BCC_SYSTEMTWIN - case('hex') - NtwinMax = LATTICE_HEX_NTWINSYSTEM - twinSystems = LATTICE_HEX_SYSTEMTWIN - case default - call IO_error(137,ext_msg='lattice_SchmidMatrix_twin: '//trim(structure)) - end select - - if (any(NtwinMax(1:size(Ntwin)) - Ntwin < 0)) & - call IO_error(145,ext_msg='Ntwin '//trim(structure)) - if (any(Ntwin < 0)) & - call IO_error(144,ext_msg='Ntwin '//trim(structure)) - - coordinateSystem = buildCoordinateSystem(Ntwin,NtwinMax,twinSystems,structure,cOverA) - - do i = 1, sum(Ntwin) - SchmidMatrix(1:3,1:3,i) = math_outer(coordinateSystem(1:3,1,i),coordinateSystem(1:3,2,i)) - if (abs(math_trace33(SchmidMatrix(1:3,1:3,i))) > tol_math_check) & - call IO_error(0,i,ext_msg = 'dilatational Schmid matrix for twin') - enddo - -end function lattice_SchmidMatrix_twin - - + use prec, only: & + tol_math_check + use IO, only: & + IO_error + use math, only: & + math_trace33, & + math_outer + + integer, dimension(:), intent(in) :: Ntwin !< number of active twin systems per family + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), intent(in) :: cOverA !< c/a ratio + real(pReal), dimension(3,3,sum(Ntwin)) :: SchmidMatrix + + real(pReal), dimension(3,3,sum(Ntwin)) :: coordinateSystem + real(pReal), dimension(:,:), allocatable :: twinSystems + integer, dimension(:), allocatable :: NtwinMax + integer :: i + + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='lattice_SchmidMatrix_twin: '//trim(structure)) + + select case(structure(1:3)) + case('fcc') + NtwinMax = LATTICE_FCC_NTWINSYSTEM + twinSystems = LATTICE_FCC_SYSTEMTWIN + case('bcc') + NtwinMax = LATTICE_BCC_NTWINSYSTEM + twinSystems = LATTICE_BCC_SYSTEMTWIN + case('hex') + NtwinMax = LATTICE_HEX_NTWINSYSTEM + twinSystems = LATTICE_HEX_SYSTEMTWIN + case default + call IO_error(137,ext_msg='lattice_SchmidMatrix_twin: '//trim(structure)) + end select + + if (any(NtwinMax(1:size(Ntwin)) - Ntwin < 0)) & + call IO_error(145,ext_msg='Ntwin '//trim(structure)) + if (any(Ntwin < 0)) & + call IO_error(144,ext_msg='Ntwin '//trim(structure)) + + coordinateSystem = buildCoordinateSystem(Ntwin,NtwinMax,twinSystems,structure,cOverA) + + do i = 1, sum(Ntwin) + SchmidMatrix(1:3,1:3,i) = math_outer(coordinateSystem(1:3,1,i),coordinateSystem(1:3,2,i)) + if (abs(math_trace33(SchmidMatrix(1:3,1:3,i))) > tol_math_check) & + call IO_error(0,i,ext_msg = 'dilatational Schmid matrix for twin') + enddo + + end function lattice_SchmidMatrix_twin + + !-------------------------------------------------------------------------------------------------- !> @brief Schmid matrix for twinning !> details only active twin systems are considered !-------------------------------------------------------------------------------------------------- function lattice_SchmidMatrix_trans(Ntrans,structure_target,cOverA,a_bcc,a_fcc) result(SchmidMatrix) - use IO, only: & - IO_error - - implicit none - integer, dimension(:), intent(in) :: Ntrans !< number of active twin systems per family - real(pReal), intent(in) :: cOverA !< c/a ratio - character(len=*), intent(in) :: structure_target !< lattice structure - real(pReal), dimension(3,3,sum(Ntrans)) :: SchmidMatrix - - real(pReal), dimension(3,3,sum(Ntrans)):: devNull - real(pReal) :: a_bcc, a_fcc - - if (len_trim(structure_target) /= 3) & - call IO_error(137,ext_msg='lattice_SchmidMatrix_trans (target): '//trim(structure_target)) - if (structure_target(1:3) /= 'bcc' .and. structure_target(1:3) /= 'hex') & - call IO_error(137,ext_msg='lattice_SchmidMatrix_trans (target): '//trim(structure_target)) - - !ToDo: add checks for CoverA_trans,a_fcc,a_bcc - - call buildTransformationSystem(devNull,SchmidMatrix,Ntrans,cOverA,a_fcc,a_bcc) - - end function lattice_SchmidMatrix_trans - - + use IO, only: & + IO_error + + integer, dimension(:), intent(in) :: Ntrans !< number of active twin systems per family + real(pReal), intent(in) :: cOverA !< c/a ratio + character(len=*), intent(in) :: structure_target !< lattice structure + real(pReal), dimension(3,3,sum(Ntrans)) :: SchmidMatrix + + real(pReal), dimension(3,3,sum(Ntrans)):: devNull + real(pReal) :: a_bcc, a_fcc + + if (len_trim(structure_target) /= 3) & + call IO_error(137,ext_msg='lattice_SchmidMatrix_trans (target): '//trim(structure_target)) + if (structure_target(1:3) /= 'bcc' .and. structure_target(1:3) /= 'hex') & + call IO_error(137,ext_msg='lattice_SchmidMatrix_trans (target): '//trim(structure_target)) + + !ToDo: add checks for CoverA_trans,a_fcc,a_bcc + + call buildTransformationSystem(devNull,SchmidMatrix,Ntrans,cOverA,a_fcc,a_bcc) + +end function lattice_SchmidMatrix_trans + + !-------------------------------------------------------------------------------------------------- !> @brief Schmid matrix for cleavage !> details only active cleavage systems are considered !-------------------------------------------------------------------------------------------------- function lattice_SchmidMatrix_cleavage(Ncleavage,structure,cOverA) result(SchmidMatrix) - use math, only: & - math_outer - use IO, only: & - IO_error - - implicit none - integer, dimension(:), intent(in) :: Ncleavage !< number of active cleavage systems per family - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), intent(in) :: cOverA !< c/a ratio - real(pReal), dimension(3,3,3,sum(Ncleavage)) :: SchmidMatrix - - real(pReal), dimension(3,3,sum(Ncleavage)) :: coordinateSystem - real(pReal), dimension(:,:), allocatable :: cleavageSystems - integer, dimension(:), allocatable :: NcleavageMax - integer :: i + use math, only: & + math_outer + use IO, only: & + IO_error + + integer, dimension(:), intent(in) :: Ncleavage !< number of active cleavage systems per family + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), intent(in) :: cOverA !< c/a ratio + real(pReal), dimension(3,3,3,sum(Ncleavage)) :: SchmidMatrix + + real(pReal), dimension(3,3,sum(Ncleavage)) :: coordinateSystem + real(pReal), dimension(:,:), allocatable :: cleavageSystems + integer, dimension(:), allocatable :: NcleavageMax + integer :: i + + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='lattice_SchmidMatrix_cleavage: '//trim(structure)) + + select case(structure(1:3)) + case('iso') + NcleavageMax = LATTICE_ISO_NCLEAVAGESYSTEM + cleavageSystems = LATTICE_ISO_SYSTEMCLEAVAGE + case('ort') + NcleavageMax = LATTICE_ORT_NCLEAVAGESYSTEM + cleavageSystems = LATTICE_ORT_SYSTEMCLEAVAGE + case('fcc') + NcleavageMax = LATTICE_FCC_NCLEAVAGESYSTEM + cleavageSystems = LATTICE_FCC_SYSTEMCLEAVAGE + case('bcc') + NcleavageMax = LATTICE_BCC_NCLEAVAGESYSTEM + cleavageSystems = LATTICE_BCC_SYSTEMCLEAVAGE + case('hex') + NcleavageMax = LATTICE_HEX_NCLEAVAGESYSTEM + cleavageSystems = LATTICE_HEX_SYSTEMCLEAVAGE + case default + call IO_error(137,ext_msg='lattice_SchmidMatrix_cleavage: '//trim(structure)) + end select + + if (any(NcleavageMax(1:size(Ncleavage)) - Ncleavage < 0)) & + call IO_error(145,ext_msg='Ncleavage '//trim(structure)) + if (any(Ncleavage < 0)) & + call IO_error(144,ext_msg='Ncleavage '//trim(structure)) + + coordinateSystem = buildCoordinateSystem(Ncleavage,NcleavageMax,cleavageSystems,structure,cOverA) + + do i = 1, sum(Ncleavage) + SchmidMatrix(1:3,1:3,1,i) = math_outer(coordinateSystem(1:3,1,i),coordinateSystem(1:3,2,i)) + SchmidMatrix(1:3,1:3,2,i) = math_outer(coordinateSystem(1:3,3,i),coordinateSystem(1:3,2,i)) + SchmidMatrix(1:3,1:3,3,i) = math_outer(coordinateSystem(1:3,2,i),coordinateSystem(1:3,2,i)) + enddo - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='lattice_SchmidMatrix_cleavage: '//trim(structure)) - - select case(structure(1:3)) - case('iso') - NcleavageMax = LATTICE_ISO_NCLEAVAGESYSTEM - cleavageSystems = LATTICE_ISO_SYSTEMCLEAVAGE - case('ort') - NcleavageMax = LATTICE_ORT_NCLEAVAGESYSTEM - cleavageSystems = LATTICE_ORT_SYSTEMCLEAVAGE - case('fcc') - NcleavageMax = LATTICE_FCC_NCLEAVAGESYSTEM - cleavageSystems = LATTICE_FCC_SYSTEMCLEAVAGE - case('bcc') - NcleavageMax = LATTICE_BCC_NCLEAVAGESYSTEM - cleavageSystems = LATTICE_BCC_SYSTEMCLEAVAGE - case('hex') - NcleavageMax = LATTICE_HEX_NCLEAVAGESYSTEM - cleavageSystems = LATTICE_HEX_SYSTEMCLEAVAGE - case default - call IO_error(137,ext_msg='lattice_SchmidMatrix_cleavage: '//trim(structure)) - end select - - if (any(NcleavageMax(1:size(Ncleavage)) - Ncleavage < 0)) & - call IO_error(145,ext_msg='Ncleavage '//trim(structure)) - if (any(Ncleavage < 0)) & - call IO_error(144,ext_msg='Ncleavage '//trim(structure)) - - coordinateSystem = buildCoordinateSystem(Ncleavage,NcleavageMax,cleavageSystems,structure,cOverA) - - do i = 1, sum(Ncleavage) - SchmidMatrix(1:3,1:3,1,i) = math_outer(coordinateSystem(1:3,1,i),coordinateSystem(1:3,2,i)) - SchmidMatrix(1:3,1:3,2,i) = math_outer(coordinateSystem(1:3,3,i),coordinateSystem(1:3,2,i)) - SchmidMatrix(1:3,1:3,3,i) = math_outer(coordinateSystem(1:3,2,i),coordinateSystem(1:3,2,i)) - enddo - end function lattice_SchmidMatrix_cleavage - - + + !-------------------------------------------------------------------------------------------------- !> @brief Slip direction of slip systems (|| b) !-------------------------------------------------------------------------------------------------- function lattice_slip_direction(Nslip,structure,cOverA) result(d) - - implicit none - integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), intent(in) :: cOverA !< c/a ratio - real(pReal), dimension(3,sum(Nslip)) :: d - - real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem - coordinateSystem = coordinateSystem_slip(Nslip,structure,cOverA) - d = coordinateSystem(1:3,1,1:sum(Nslip)) - + integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), intent(in) :: cOverA !< c/a ratio + real(pReal), dimension(3,sum(Nslip)) :: d + + real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem + + coordinateSystem = coordinateSystem_slip(Nslip,structure,cOverA) + d = coordinateSystem(1:3,1,1:sum(Nslip)) + end function lattice_slip_direction - - + + !-------------------------------------------------------------------------------------------------- !> @brief Normal direction of slip systems (|| n) !-------------------------------------------------------------------------------------------------- function lattice_slip_normal(Nslip,structure,cOverA) result(n) - - implicit none - integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), intent(in) :: cOverA !< c/a ratio - real(pReal), dimension(3,sum(Nslip)) :: n - - real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem - coordinateSystem = coordinateSystem_slip(Nslip,structure,cOverA) - n = coordinateSystem(1:3,2,1:sum(Nslip)) - + integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), intent(in) :: cOverA !< c/a ratio + real(pReal), dimension(3,sum(Nslip)) :: n + + real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem + + coordinateSystem = coordinateSystem_slip(Nslip,structure,cOverA) + n = coordinateSystem(1:3,2,1:sum(Nslip)) + end function lattice_slip_normal + !-------------------------------------------------------------------------------------------------- !> @brief Transverse direction of slip systems ( || t = b x n) !-------------------------------------------------------------------------------------------------- function lattice_slip_transverse(Nslip,structure,cOverA) result(t) - - implicit none - integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), intent(in) :: cOverA !< c/a ratio - real(pReal), dimension(3,sum(Nslip)) :: t - - real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem - coordinateSystem = coordinateSystem_slip(Nslip,structure,cOverA) - t = coordinateSystem(1:3,3,1:sum(Nslip)) - + integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), intent(in) :: cOverA !< c/a ratio + real(pReal), dimension(3,sum(Nslip)) :: t + + real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem + + coordinateSystem = coordinateSystem_slip(Nslip,structure,cOverA) + t = coordinateSystem(1:3,3,1:sum(Nslip)) + end function lattice_slip_transverse - - + + !-------------------------------------------------------------------------------------------------- !> @brief Projection of the transverse direction onto the slip plane !> @details: This projection is used to calculate forest hardening for edge dislocations !-------------------------------------------------------------------------------------------------- function slipProjection_transverse(Nslip,structure,cOverA) result(projection) - use math, only: & - math_inner - - implicit none - integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), intent(in) :: cOverA !< c/a ratio - real(pReal), dimension(sum(Nslip),sum(Nslip)) :: projection - - real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem - integer :: i, j + use math, only: & + math_inner + + integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), intent(in) :: cOverA !< c/a ratio + real(pReal), dimension(sum(Nslip),sum(Nslip)) :: projection + + real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem + integer :: i, j + + coordinateSystem = coordinateSystem_slip(Nslip,structure,cOverA) + + do i=1, sum(Nslip); do j=1, sum(Nslip) + projection(i,j) = abs(math_inner(coordinateSystem(1:3,2,i),coordinateSystem(1:3,3,j))) + enddo; enddo - coordinateSystem = coordinateSystem_slip(Nslip,structure,cOverA) - - do i=1, sum(Nslip); do j=1, sum(Nslip) - projection(i,j) = abs(math_inner(coordinateSystem(1:3,2,i),coordinateSystem(1:3,3,j))) - enddo; enddo - end function slipProjection_transverse - - + + !-------------------------------------------------------------------------------------------------- !> @brief Projection of the slip direction onto the slip plane !> @details: This projection is used to calculate forest hardening for screw dislocations !-------------------------------------------------------------------------------------------------- function slipProjection_direction(Nslip,structure,cOverA) result(projection) - use math, only: & - math_inner - - implicit none - integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), intent(in) :: cOverA !< c/a ratio - real(pReal), dimension(sum(Nslip),sum(Nslip)) :: projection - - real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem - integer :: i, j + use math, only: & + math_inner + + integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), intent(in) :: cOverA !< c/a ratio + real(pReal), dimension(sum(Nslip),sum(Nslip)) :: projection + + real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem + integer :: i, j + + coordinateSystem = coordinateSystem_slip(Nslip,structure,cOverA) + + do i=1, sum(Nslip); do j=1, sum(Nslip) + projection(i,j) = abs(math_inner(coordinateSystem(1:3,2,i),coordinateSystem(1:3,1,j))) + enddo; enddo - coordinateSystem = coordinateSystem_slip(Nslip,structure,cOverA) - - do i=1, sum(Nslip); do j=1, sum(Nslip) - projection(i,j) = abs(math_inner(coordinateSystem(1:3,2,i),coordinateSystem(1:3,1,j))) - enddo; enddo - end function slipProjection_direction - - + + !-------------------------------------------------------------------------------------------------- !> @brief build a local coordinate system on slip systems !> @details Order: Direction, plane (normal), and common perpendicular !-------------------------------------------------------------------------------------------------- function coordinateSystem_slip(Nslip,structure,cOverA) result(coordinateSystem) - use IO, only: & - IO_error - - implicit none - integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family - character(len=*), intent(in) :: structure !< lattice structure - real(pReal), intent(in) :: cOverA !< c/a ratio - real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem - - real(pReal), dimension(:,:), allocatable :: slipSystems - integer, dimension(:), allocatable :: NslipMax - - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='coordinateSystem_slip: '//trim(structure)) - - select case(structure(1:3)) - case('fcc') - NslipMax = LATTICE_FCC_NSLIPSYSTEM - slipSystems = LATTICE_FCC_SYSTEMSLIP - case('bcc') - NslipMax = LATTICE_BCC_NSLIPSYSTEM - slipSystems = LATTICE_BCC_SYSTEMSLIP - case('hex') - NslipMax = LATTICE_HEX_NSLIPSYSTEM - slipSystems = LATTICE_HEX_SYSTEMSLIP - case('bct') - NslipMax = LATTICE_BCT_NSLIPSYSTEM - slipSystems = LATTICE_BCT_SYSTEMSLIP - case default - call IO_error(137,ext_msg='coordinateSystem_slip: '//trim(structure)) - end select - - if (any(NslipMax(1:size(Nslip)) - Nslip < 0)) & - call IO_error(145,ext_msg='Nslip '//trim(structure)) - if (any(Nslip < 0)) & - call IO_error(144,ext_msg='Nslip '//trim(structure)) - - coordinateSystem = buildCoordinateSystem(Nslip,NslipMax,slipSystems,structure,cOverA) - -end function coordinateSystem_slip - - -!-------------------------------------------------------------------------------------------------- -!> @brief Populates reduced interaction matrix -!-------------------------------------------------------------------------------------------------- -function buildInteraction(acting_used,reacting_used,acting_max,reacting_max,values,matrix) use IO, only: & IO_error - implicit none - integer, dimension(:), intent(in) :: & - acting_used, & !< # of acting systems per family as specified in material.config - reacting_used, & !< # of reacting systems per family as specified in material.config - acting_max, & !< max # of acting systems per family for given lattice - reacting_max !< max # of reacting systems per family for given lattice - real(pReal), dimension(:), intent(in) :: values !< interaction values - integer, dimension(:,:), intent(in) :: matrix !< interaction types - real(pReal), dimension(sum(acting_used),sum(reacting_used)) :: buildInteraction + integer, dimension(:), intent(in) :: Nslip !< number of active slip systems per family + character(len=*), intent(in) :: structure !< lattice structure + real(pReal), intent(in) :: cOverA !< c/a ratio + real(pReal), dimension(3,3,sum(Nslip)) :: coordinateSystem + + real(pReal), dimension(:,:), allocatable :: slipSystems + integer, dimension(:), allocatable :: NslipMax - integer :: & - acting_family_index, acting_family, acting_system, & - reacting_family_index, reacting_family, reacting_system, & - i,j,k,l + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='coordinateSystem_slip: '//trim(structure)) - do acting_family = 1,size(acting_used,1) - acting_family_index = sum(acting_used(1:acting_family-1)) - do acting_system = 1,acting_used(acting_family) + select case(structure(1:3)) + case('fcc') + NslipMax = LATTICE_FCC_NSLIPSYSTEM + slipSystems = LATTICE_FCC_SYSTEMSLIP + case('bcc') + NslipMax = LATTICE_BCC_NSLIPSYSTEM + slipSystems = LATTICE_BCC_SYSTEMSLIP + case('hex') + NslipMax = LATTICE_HEX_NSLIPSYSTEM + slipSystems = LATTICE_HEX_SYSTEMSLIP + case('bct') + NslipMax = LATTICE_BCT_NSLIPSYSTEM + slipSystems = LATTICE_BCT_SYSTEMSLIP + case default + call IO_error(137,ext_msg='coordinateSystem_slip: '//trim(structure)) + end select + + if (any(NslipMax(1:size(Nslip)) - Nslip < 0)) & + call IO_error(145,ext_msg='Nslip '//trim(structure)) + if (any(Nslip < 0)) & + call IO_error(144,ext_msg='Nslip '//trim(structure)) + + coordinateSystem = buildCoordinateSystem(Nslip,NslipMax,slipSystems,structure,cOverA) + +end function coordinateSystem_slip + + +!-------------------------------------------------------------------------------------------------- +!> @brief Populates reduced interaction matrix +!-------------------------------------------------------------------------------------------------- +function buildInteraction(reacting_used,acting_used,reacting_max,acting_max,values,matrix) + use IO, only: & + IO_error + + integer, dimension(:), intent(in) :: & + reacting_used, & !< # of reacting systems per family as specified in material.config + acting_used, & !< # of acting systems per family as specified in material.config + reacting_max, & !< max # of reacting systems per family for given lattice + acting_max !< max # of acting systems per family for given lattice + real(pReal), dimension(:), intent(in) :: values !< interaction values + integer, dimension(:,:), intent(in) :: matrix !< interaction types + real(pReal), dimension(sum(reacting_used),sum(acting_used)) :: buildInteraction + + integer :: & + acting_family_index, acting_family, acting_system, & + reacting_family_index, reacting_family, reacting_system, & + i,j,k,l + + do acting_family = 1,size(acting_used,1) + acting_family_index = sum(acting_used(1:acting_family-1)) + do acting_system = 1,acting_used(acting_family) + + do reacting_family = 1,size(reacting_used,1) + reacting_family_index = sum(reacting_used(1:reacting_family-1)) + do reacting_system = 1,reacting_used(reacting_family) + + i = sum( acting_max(1: acting_family-1)) + acting_system + j = sum(reacting_max(1:reacting_family-1)) + reacting_system + + k = acting_family_index + acting_system + l = reacting_family_index + reacting_system + + if (matrix(i,j) > size(values)) call IO_error(138,ext_msg='buildInteraction') + + buildInteraction(l,k) = values(matrix(i,j)) + + enddo; enddo + enddo; enddo - do reacting_family = 1,size(reacting_used,1) - reacting_family_index = sum(reacting_used(1:reacting_family-1)) - do reacting_system = 1,reacting_used(reacting_family) - - i = sum( acting_max(1: acting_family-1)) + acting_system - j = sum(reacting_max(1:reacting_family-1)) + reacting_system - - k = acting_family_index + acting_system - l = reacting_family_index + reacting_system - - if (matrix(i,j) > size(values)) call IO_error(138,ext_msg='buildInteraction') - - buildInteraction(k,l) = values(matrix(i,j)) - - enddo; enddo - enddo; enddo - end function buildInteraction - - + + !-------------------------------------------------------------------------------------------------- !> @brief build a local coordinate system on slip, twin, trans, cleavage systems !> @details Order: Direction, plane (normal), and common perpendicular !-------------------------------------------------------------------------------------------------- function buildCoordinateSystem(active,complete,system,structure,cOverA) - use IO, only: & - IO_error - use math, only: & - math_cross - - implicit none - integer, dimension(:), intent(in) :: & - active, & - complete - real(pReal), dimension(:,:), intent(in) :: & - system - character(len=*), intent(in) :: & - structure !< lattice structure - real(pReal), intent(in) :: & - cOverA - real(pReal), dimension(3,3,sum(active)) :: & - buildCoordinateSystem - - real(pReal), dimension(3) :: & - direction, normal - integer :: & - a, & !< index of active system - c, & !< index in complete system matrix - f, & !< index of my family - s !< index of my system in current family - - if (len_trim(structure) /= 3) & - call IO_error(137,ext_msg='buildCoordinateSystem: '//trim(structure)) - if (trim(structure(1:3)) == 'bct' .and. cOverA > 2.0_pReal) & - call IO_error(131,ext_msg='buildCoordinateSystem:'//trim(structure)) - if (trim(structure(1:3)) == 'hex' .and. (cOverA < 1.0_pReal .or. cOverA > 2.0_pReal)) & - call IO_error(131,ext_msg='buildCoordinateSystem:'//trim(structure)) - - a = 0 - activeFamilies: do f = 1,size(active,1) - activeSystems: do s = 1,active(f) - a = a + 1 - c = sum(complete(1:f-1))+s - - select case(trim(structure(1:3))) - - case ('fcc','bcc','iso','ort','bct') - direction = system(1:3,c) - normal = system(4:6,c) - - case ('hex') - direction = [ system(1,c)*1.5_pReal, & - (system(1,c)+2.0_pReal*system(2,c))*sqrt(0.75_pReal), & - system(4,c)*cOverA ] ! direction [uvtw]->[3u/2 (u+2v)*sqrt(3)/2 w*(c/a)]) - normal = [ system(5,c), & - (system(5,c)+2.0_pReal*system(6,c))/sqrt(3.0_pReal), & - system(8,c)/cOverA ] ! plane (hkil)->(h (h+2k)/sqrt(3) l/(c/a)) - - case default - call IO_error(137,ext_msg='buildCoordinateSystem: '//trim(structure)) - - end select - - buildCoordinateSystem(1:3,1,a) = direction/norm2(direction) - buildCoordinateSystem(1:3,2,a) = normal/norm2(normal) - buildCoordinateSystem(1:3,3,a) = math_cross(buildCoordinateSystem(1:3,1,a),& - buildCoordinateSystem(1:3,2,a)) - - enddo activeSystems - enddo activeFamilies - + use IO, only: & + IO_error + use math, only: & + math_cross + + integer, dimension(:), intent(in) :: & + active, & + complete + real(pReal), dimension(:,:), intent(in) :: & + system + character(len=*), intent(in) :: & + structure !< lattice structure + real(pReal), intent(in) :: & + cOverA + real(pReal), dimension(3,3,sum(active)) :: & + buildCoordinateSystem + + real(pReal), dimension(3) :: & + direction, normal + integer :: & + a, & !< index of active system + c, & !< index in complete system matrix + f, & !< index of my family + s !< index of my system in current family + + if (len_trim(structure) /= 3) & + call IO_error(137,ext_msg='buildCoordinateSystem: '//trim(structure)) + if (trim(structure(1:3)) == 'bct' .and. cOverA > 2.0_pReal) & + call IO_error(131,ext_msg='buildCoordinateSystem:'//trim(structure)) + if (trim(structure(1:3)) == 'hex' .and. (cOverA < 1.0_pReal .or. cOverA > 2.0_pReal)) & + call IO_error(131,ext_msg='buildCoordinateSystem:'//trim(structure)) + + a = 0 + activeFamilies: do f = 1,size(active,1) + activeSystems: do s = 1,active(f) + a = a + 1 + c = sum(complete(1:f-1))+s + + select case(trim(structure(1:3))) + + case ('fcc','bcc','iso','ort','bct') + direction = system(1:3,c) + normal = system(4:6,c) + + case ('hex') + direction = [ system(1,c)*1.5_pReal, & + (system(1,c)+2.0_pReal*system(2,c))*sqrt(0.75_pReal), & + system(4,c)*cOverA ] ! direction [uvtw]->[3u/2 (u+2v)*sqrt(3)/2 w*(c/a)]) + normal = [ system(5,c), & + (system(5,c)+2.0_pReal*system(6,c))/sqrt(3.0_pReal), & + system(8,c)/cOverA ] ! plane (hkil)->(h (h+2k)/sqrt(3) l/(c/a)) + + case default + call IO_error(137,ext_msg='buildCoordinateSystem: '//trim(structure)) + + end select + + buildCoordinateSystem(1:3,1,a) = direction/norm2(direction) + buildCoordinateSystem(1:3,2,a) = normal/norm2(normal) + buildCoordinateSystem(1:3,3,a) = math_cross(buildCoordinateSystem(1:3,1,a),& + buildCoordinateSystem(1:3,2,a)) + + enddo activeSystems + enddo activeFamilies + end function buildCoordinateSystem - - + + !-------------------------------------------------------------------------------------------------- !> @brief Helper function to define transformation systems ! Needed to calculate Schmid matrix and rotated stiffness matrices. @@ -2396,139 +2370,138 @@ end function buildCoordinateSystem ! set a_bcc = 0.0 for fcc -> hex transformation !-------------------------------------------------------------------------------------------------- subroutine buildTransformationSystem(Q,S,Ntrans,cOverA,a_fcc,a_bcc) - use prec, only: & - dEq0 - use math, only: & - math_cross, & - math_outer, & - math_axisAngleToR, & - INRAD, & - MATH_I3 - use IO, only: & - IO_error - - implicit none - integer, dimension(:), intent(in) :: & - Ntrans - real(pReal), dimension(3,3,sum(Ntrans)), intent(out) :: & - Q, & !< Total rotation: Q = R*B - S !< Eigendeformation tensor for phase transformation - real(pReal), intent(in) :: & - cOverA, & !< c/a for target hex structure - a_bcc, & !< lattice parameter a for target bcc structure - a_fcc !< lattice parameter a for parent fcc structure - - real(pReal), dimension(3,3) :: & - R, & !< Pitsch rotation - U, & !< Bain deformation - B, & !< Rotation of fcc to Bain coordinate system - ss, sd - real(pReal), dimension(3) :: & - x, y, z - integer :: & - i - real(pReal), dimension(3+3,LATTICE_FCC_NTRANS), parameter :: & - LATTICE_FCCTOHEX_SYSTEMTRANS = reshape(real( [& - -2, 1, 1, 1, 1, 1, & - 1,-2, 1, 1, 1, 1, & - 1, 1,-2, 1, 1, 1, & - 2,-1, 1, -1,-1, 1, & - -1, 2, 1, -1,-1, 1, & - -1,-1,-2, -1,-1, 1, & - -2,-1,-1, 1,-1,-1, & - 1, 2,-1, 1,-1,-1, & - 1,-1, 2, 1,-1,-1, & - 2, 1,-1, -1, 1,-1, & - -1,-2,-1, -1, 1,-1, & - -1, 1, 2, -1, 1,-1 & - ],pReal),shape(LATTICE_FCCTOHEX_SYSTEMTRANS)) - real(pReal), dimension(4,LATTICE_fcc_Ntrans), parameter :: & - LATTICE_FCCTOBCC_SYSTEMTRANS = reshape([& - 0.0, 1.0, 0.0, 10.26, & ! Pitsch OR (Ma & Hartmaier 2014, Table 3) - 0.0, 1.0, 0.0, -10.26, & - 0.0, 0.0, 1.0, 10.26, & - 0.0, 0.0, 1.0, -10.26, & - 1.0, 0.0, 0.0, 10.26, & - 1.0, 0.0, 0.0, -10.26, & - 0.0, 0.0, 1.0, 10.26, & - 0.0, 0.0, 1.0, -10.26, & - 1.0, 0.0, 0.0, 10.26, & - 1.0, 0.0, 0.0, -10.26, & - 0.0, 1.0, 0.0, 10.26, & - 0.0, 1.0, 0.0, -10.26 & - ],shape(LATTICE_FCCTOBCC_SYSTEMTRANS)) - - integer, dimension(9,LATTICE_fcc_Ntrans), parameter :: & - LATTICE_FCCTOBCC_BAINVARIANT = reshape( [& - 1, 0, 0, 0, 1, 0, 0, 0, 1, & ! Pitsch OR (Ma & Hartmaier 2014, Table 3) - 1, 0, 0, 0, 1, 0, 0, 0, 1, & - 1, 0, 0, 0, 1, 0, 0, 0, 1, & - 1, 0, 0, 0, 1, 0, 0, 0, 1, & - 0, 1, 0, 1, 0, 0, 0, 0, 1, & - 0, 1, 0, 1, 0, 0, 0, 0, 1, & - 0, 1, 0, 1, 0, 0, 0, 0, 1, & - 0, 1, 0, 1, 0, 0, 0, 0, 1, & - 0, 0, 1, 1, 0, 0, 0, 1, 0, & - 0, 0, 1, 1, 0, 0, 0, 1, 0, & - 0, 0, 1, 1, 0, 0, 0, 1, 0, & - 0, 0, 1, 1, 0, 0, 0, 1, 0 & - ],shape(LATTICE_FCCTOBCC_BAINVARIANT)) - - real(pReal), dimension(4,LATTICE_fcc_Ntrans), parameter :: & - LATTICE_FCCTOBCC_BAINROT = reshape([& - 1.0, 0.0, 0.0, 45.0, & ! Rotate fcc austensite to bain variant - 1.0, 0.0, 0.0, 45.0, & - 1.0, 0.0, 0.0, 45.0, & - 1.0, 0.0, 0.0, 45.0, & - 0.0, 1.0, 0.0, 45.0, & - 0.0, 1.0, 0.0, 45.0, & - 0.0, 1.0, 0.0, 45.0, & - 0.0, 1.0, 0.0, 45.0, & - 0.0, 0.0, 1.0, 45.0, & - 0.0, 0.0, 1.0, 45.0, & - 0.0, 0.0, 1.0, 45.0, & - 0.0, 0.0, 1.0, 45.0 & - ],shape(LATTICE_FCCTOBCC_BAINROT)) - - if (size(Ntrans) < 1 .or. size(Ntrans) > 1) & - call IO_error(0) !ToDo: define error - - if (a_bcc > 0.0_pReal .and. dEq0(cOverA)) then ! fcc -> bcc transformation - do i = 1,sum(Ntrans) - R = math_axisAngleToR(lattice_fccTobcc_systemTrans(1:3,i), & - lattice_fccTobcc_systemTrans(4,i)*INRAD) - B = math_axisAngleToR(lattice_fccTobcc_bainRot(1:3,i), & - lattice_fccTobcc_bainRot(4,i)*INRAD) - x = real(LATTICE_fccTobcc_bainVariant(1:3,i),pReal) - y = real(LATTICE_fccTobcc_bainVariant(4:6,i),pReal) - z = real(LATTICE_fccTobcc_bainVariant(7:9,i),pReal) - - U = (a_bcc/a_fcc)*math_outer(x,x) & - + (a_bcc/a_fcc)*math_outer(y,y) * sqrt(2.0_pReal) & - + (a_bcc/a_fcc)*math_outer(z,z) * sqrt(2.0_pReal) - Q(1:3,1:3,i) = matmul(R,B) - S(1:3,1:3,i) = matmul(R,U) - MATH_I3 - enddo - elseif (cOverA > 0.0_pReal .and. dEq0(a_bcc)) then ! fcc -> hex transformation - ss = MATH_I3 - sd = MATH_I3 - ss(1,3) = sqrt(2.0_pReal)/4.0_pReal - if (cOverA > 1.0_pReal .and. cOverA < 2.0_pReal) & - sd(3,3) = cOverA/sqrt(8.0_pReal/3.0_pReal) - - do i = 1,sum(Ntrans) - x = lattice_fccTohex_systemTrans(1:3,i)/norm2(lattice_fccTohex_systemTrans(1:3,i)) - z = lattice_fccTohex_systemTrans(4:6,i)/norm2(lattice_fccTohex_systemTrans(4:6,i)) - y = -math_cross(x,z) - Q(1:3,1,i) = x - Q(1:3,2,i) = y - Q(1:3,3,i) = z - S(1:3,1:3,i) = matmul(Q(1:3,1:3,i), matmul(matmul(sd,ss), transpose(Q(1:3,1:3,i)))) - MATH_I3 ! ToDo: This is of interest for the Schmid matrix only - enddo - else - call IO_error(0) !ToDo: define error - endif - + use prec, only: & + dEq0 + use math, only: & + math_cross, & + math_outer, & + math_axisAngleToR, & + INRAD, & + MATH_I3 + use IO, only: & + IO_error + + integer, dimension(:), intent(in) :: & + Ntrans + real(pReal), dimension(3,3,sum(Ntrans)), intent(out) :: & + Q, & !< Total rotation: Q = R*B + S !< Eigendeformation tensor for phase transformation + real(pReal), intent(in) :: & + cOverA, & !< c/a for target hex structure + a_bcc, & !< lattice parameter a for target bcc structure + a_fcc !< lattice parameter a for parent fcc structure + + real(pReal), dimension(3,3) :: & + R, & !< Pitsch rotation + U, & !< Bain deformation + B, & !< Rotation of fcc to Bain coordinate system + ss, sd + real(pReal), dimension(3) :: & + x, y, z + integer :: & + i + real(pReal), dimension(3+3,LATTICE_FCC_NTRANS), parameter :: & + LATTICE_FCCTOHEX_SYSTEMTRANS = reshape(real( [& + -2, 1, 1, 1, 1, 1, & + 1,-2, 1, 1, 1, 1, & + 1, 1,-2, 1, 1, 1, & + 2,-1, 1, -1,-1, 1, & + -1, 2, 1, -1,-1, 1, & + -1,-1,-2, -1,-1, 1, & + -2,-1,-1, 1,-1,-1, & + 1, 2,-1, 1,-1,-1, & + 1,-1, 2, 1,-1,-1, & + 2, 1,-1, -1, 1,-1, & + -1,-2,-1, -1, 1,-1, & + -1, 1, 2, -1, 1,-1 & + ],pReal),shape(LATTICE_FCCTOHEX_SYSTEMTRANS)) + real(pReal), dimension(4,LATTICE_fcc_Ntrans), parameter :: & + LATTICE_FCCTOBCC_SYSTEMTRANS = reshape([& + 0.0, 1.0, 0.0, 10.26, & ! Pitsch OR (Ma & Hartmaier 2014, Table 3) + 0.0, 1.0, 0.0, -10.26, & + 0.0, 0.0, 1.0, 10.26, & + 0.0, 0.0, 1.0, -10.26, & + 1.0, 0.0, 0.0, 10.26, & + 1.0, 0.0, 0.0, -10.26, & + 0.0, 0.0, 1.0, 10.26, & + 0.0, 0.0, 1.0, -10.26, & + 1.0, 0.0, 0.0, 10.26, & + 1.0, 0.0, 0.0, -10.26, & + 0.0, 1.0, 0.0, 10.26, & + 0.0, 1.0, 0.0, -10.26 & + ],shape(LATTICE_FCCTOBCC_SYSTEMTRANS)) + + integer, dimension(9,LATTICE_fcc_Ntrans), parameter :: & + LATTICE_FCCTOBCC_BAINVARIANT = reshape( [& + 1, 0, 0, 0, 1, 0, 0, 0, 1, & ! Pitsch OR (Ma & Hartmaier 2014, Table 3) + 1, 0, 0, 0, 1, 0, 0, 0, 1, & + 1, 0, 0, 0, 1, 0, 0, 0, 1, & + 1, 0, 0, 0, 1, 0, 0, 0, 1, & + 0, 1, 0, 1, 0, 0, 0, 0, 1, & + 0, 1, 0, 1, 0, 0, 0, 0, 1, & + 0, 1, 0, 1, 0, 0, 0, 0, 1, & + 0, 1, 0, 1, 0, 0, 0, 0, 1, & + 0, 0, 1, 1, 0, 0, 0, 1, 0, & + 0, 0, 1, 1, 0, 0, 0, 1, 0, & + 0, 0, 1, 1, 0, 0, 0, 1, 0, & + 0, 0, 1, 1, 0, 0, 0, 1, 0 & + ],shape(LATTICE_FCCTOBCC_BAINVARIANT)) + + real(pReal), dimension(4,LATTICE_fcc_Ntrans), parameter :: & + LATTICE_FCCTOBCC_BAINROT = reshape([& + 1.0, 0.0, 0.0, 45.0, & ! Rotate fcc austensite to bain variant + 1.0, 0.0, 0.0, 45.0, & + 1.0, 0.0, 0.0, 45.0, & + 1.0, 0.0, 0.0, 45.0, & + 0.0, 1.0, 0.0, 45.0, & + 0.0, 1.0, 0.0, 45.0, & + 0.0, 1.0, 0.0, 45.0, & + 0.0, 1.0, 0.0, 45.0, & + 0.0, 0.0, 1.0, 45.0, & + 0.0, 0.0, 1.0, 45.0, & + 0.0, 0.0, 1.0, 45.0, & + 0.0, 0.0, 1.0, 45.0 & + ],shape(LATTICE_FCCTOBCC_BAINROT)) + + if (size(Ntrans) < 1 .or. size(Ntrans) > 1) & + call IO_error(0) !ToDo: define error + + if (a_bcc > 0.0_pReal .and. dEq0(cOverA)) then ! fcc -> bcc transformation + do i = 1,sum(Ntrans) + R = math_axisAngleToR(lattice_fccTobcc_systemTrans(1:3,i), & + lattice_fccTobcc_systemTrans(4,i)*INRAD) + B = math_axisAngleToR(lattice_fccTobcc_bainRot(1:3,i), & + lattice_fccTobcc_bainRot(4,i)*INRAD) + x = real(LATTICE_fccTobcc_bainVariant(1:3,i),pReal) + y = real(LATTICE_fccTobcc_bainVariant(4:6,i),pReal) + z = real(LATTICE_fccTobcc_bainVariant(7:9,i),pReal) + + U = (a_bcc/a_fcc)*math_outer(x,x) & + + (a_bcc/a_fcc)*math_outer(y,y) * sqrt(2.0_pReal) & + + (a_bcc/a_fcc)*math_outer(z,z) * sqrt(2.0_pReal) + Q(1:3,1:3,i) = matmul(R,B) + S(1:3,1:3,i) = matmul(R,U) - MATH_I3 + enddo + elseif (cOverA > 0.0_pReal .and. dEq0(a_bcc)) then ! fcc -> hex transformation + ss = MATH_I3 + sd = MATH_I3 + ss(1,3) = sqrt(2.0_pReal)/4.0_pReal + if (cOverA > 1.0_pReal .and. cOverA < 2.0_pReal) & + sd(3,3) = cOverA/sqrt(8.0_pReal/3.0_pReal) + + do i = 1,sum(Ntrans) + x = lattice_fccTohex_systemTrans(1:3,i)/norm2(lattice_fccTohex_systemTrans(1:3,i)) + z = lattice_fccTohex_systemTrans(4:6,i)/norm2(lattice_fccTohex_systemTrans(4:6,i)) + y = -math_cross(x,z) + Q(1:3,1,i) = x + Q(1:3,2,i) = y + Q(1:3,3,i) = z + S(1:3,1:3,i) = matmul(Q(1:3,1:3,i), matmul(matmul(sd,ss), transpose(Q(1:3,1:3,i)))) - MATH_I3 ! ToDo: This is of interest for the Schmid matrix only + enddo + else + call IO_error(0) !ToDo: define error + endif + end subroutine buildTransformationSystem - + end module lattice diff --git a/src/plastic_disloUCLA.f90 b/src/plastic_disloUCLA.f90 index 19df4bdce..13956dd59 100644 --- a/src/plastic_disloUCLA.f90 +++ b/src/plastic_disloUCLA.f90 @@ -134,7 +134,6 @@ subroutine plastic_disloUCLA_init() config_phase use lattice - implicit none integer :: & Ninstance, & p, i, & @@ -208,9 +207,9 @@ subroutine plastic_disloUCLA_init() prm%nonSchmid_neg = prm%Schmid endif - prm%h_sl_sl = transpose(lattice_interaction_SlipBySlip(prm%N_sl, & + prm%h_sl_sl = lattice_interaction_SlipBySlip(prm%N_sl, & config%getFloats('interaction_slipslip'), & - config%getString('lattice_structure'))) + config%getString('lattice_structure')) prm%forestProjectionEdge = lattice_forestProjection(prm%N_sl,config%getString('lattice_structure'),& config%getFloat('c/a',defaultVal=0.0_pReal)) @@ -361,7 +360,6 @@ end subroutine plastic_disloUCLA_init !-------------------------------------------------------------------------------------------------- pure subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp, & Mp,T,instance,of) - implicit none real(pReal), dimension(3,3), intent(out) :: & Lp !< plastic velocity gradient real(pReal), dimension(3,3,3,3), intent(out) :: & @@ -411,7 +409,6 @@ subroutine plastic_disloUCLA_dotState(Mp,T,instance,of) PI, & math_clip - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress real(pReal), intent(in) :: & @@ -472,7 +469,6 @@ end subroutine plastic_disloUCLA_dotState !-------------------------------------------------------------------------------------------------- subroutine plastic_disloUCLA_dependentState(instance,of) - implicit none integer, intent(in) :: & instance, & of @@ -507,7 +503,6 @@ function plastic_disloUCLA_postResults(Mp,T,instance,of) result(postResults) PI, & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress real(pReal), intent(in) :: & @@ -616,7 +611,6 @@ pure subroutine kinetics(Mp,T,instance,of, & PI, & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress real(pReal), intent(in) :: & diff --git a/src/plastic_dislotwin.f90 b/src/plastic_dislotwin.f90 index 8e52b3f41..858199ada 100644 --- a/src/plastic_dislotwin.f90 +++ b/src/plastic_dislotwin.f90 @@ -198,7 +198,6 @@ subroutine plastic_dislotwin_init config_phase use lattice - implicit none integer :: & Ninstance, & p, i, & @@ -268,9 +267,9 @@ subroutine plastic_dislotwin_init slipActive: if (prm%sum_N_sl > 0) then prm%P_sl = lattice_SchmidMatrix_slip(prm%N_sl,config%getString('lattice_structure'),& config%getFloat('c/a',defaultVal=0.0_pReal)) - prm%h_sl_sl = transpose(lattice_interaction_SlipBySlip(prm%N_sl, & + prm%h_sl_sl = lattice_interaction_SlipBySlip(prm%N_sl, & config%getFloats('interaction_slipslip'), & - config%getString('lattice_structure'))) + config%getString('lattice_structure')) prm%forestProjection = lattice_forestProjection (prm%N_sl,config%getString('lattice_structure'),& config%getFloat('c/a',defaultVal=0.0_pReal)) @@ -332,9 +331,9 @@ subroutine plastic_dislotwin_init if (prm%sum_N_tw > 0) then prm%P_tw = lattice_SchmidMatrix_twin(prm%N_tw,config%getString('lattice_structure'),& config%getFloat('c/a',defaultVal=0.0_pReal)) - prm%h_tw_tw = transpose(lattice_interaction_TwinByTwin(prm%N_tw,& + prm%h_tw_tw = lattice_interaction_TwinByTwin(prm%N_tw,& config%getFloats('interaction_twintwin'), & - config%getString('lattice_structure'))) + config%getString('lattice_structure')) prm%b_tw = config%getFloats('twinburgers', requiredSize=size(prm%N_tw)) prm%t_tw = config%getFloats('twinsize', requiredSize=size(prm%N_tw)) @@ -374,15 +373,15 @@ subroutine plastic_dislotwin_init prm%b_tr = config%getFloats('transburgers') prm%b_tr = math_expand(prm%b_tr,prm%N_tr) - prm%h = config%getFloat('transstackheight', defaultVal=0.0_pReal) ! ToDo: How to handle that??? - prm%i_tr = config%getFloat('cmfptrans', defaultVal=0.0_pReal) ! ToDo: How to handle that??? - prm%gamma_fcc_hex = config%getFloat('deltag') - prm%xc_trans = config%getFloat('xc_trans', defaultVal=0.0_pReal) ! ToDo: How to handle that??? - prm%L_tr = config%getFloat('l0_trans') + prm%h = config%getFloat('transstackheight', defaultVal=0.0_pReal) ! ToDo: How to handle that??? + prm%i_tr = config%getFloat('cmfptrans', defaultVal=0.0_pReal) ! ToDo: How to handle that??? + prm%gamma_fcc_hex = config%getFloat('deltag') + prm%xc_trans = config%getFloat('xc_trans', defaultVal=0.0_pReal) ! ToDo: How to handle that??? + prm%L_tr = config%getFloat('l0_trans') - prm%h_tr_tr = transpose(lattice_interaction_TransByTrans(prm%N_tr,& - config%getFloats('interaction_transtrans'), & - config%getString('lattice_structure'))) + prm%h_tr_tr = lattice_interaction_TransByTrans(prm%N_tr,& + config%getFloats('interaction_transtrans'), & + config%getString('lattice_structure')) prm%C66_tr = lattice_C66_trans(prm%N_tr,prm%C66, & config%getString('trans_lattice_structure'), & @@ -390,7 +389,7 @@ subroutine plastic_dislotwin_init config%getFloat('a_bcc', defaultVal=0.0_pReal), & config%getFloat('a_fcc', defaultVal=0.0_pReal)) - prm%P_tr = lattice_SchmidMatrix_trans(prm%N_tr, & + prm%P_tr = lattice_SchmidMatrix_trans(prm%N_tr, & config%getString('trans_lattice_structure'), & 0.0_pReal, & config%getFloat('a_bcc', defaultVal=0.0_pReal), & @@ -416,16 +415,16 @@ subroutine plastic_dislotwin_init endif if (prm%sum_N_sl > 0 .and. prm%sum_N_tw > 0) then - prm%h_sl_tw = transpose(lattice_interaction_SlipByTwin(prm%N_sl,prm%N_tw,& + prm%h_sl_tw = lattice_interaction_SlipByTwin(prm%N_sl,prm%N_tw,& config%getFloats('interaction_sliptwin'), & - config%getString('lattice_structure'))) + config%getString('lattice_structure')) if (prm%fccTwinTransNucleation .and. prm%sum_N_tw > 12) write(6,*) 'mist' ! ToDo: implement better test. The model will fail also if N_tw is [6,6] endif if (prm%sum_N_sl > 0 .and. prm%sum_N_tr > 0) then - prm%h_sl_tr = transpose(lattice_interaction_SlipByTrans(prm%N_sl,prm%N_tr,& + prm%h_sl_tr = lattice_interaction_SlipByTrans(prm%N_sl,prm%N_tr,& config%getFloats('interaction_sliptrans'), & - config%getString('lattice_structure'))) + config%getString('lattice_structure')) if (prm%fccTwinTransNucleation .and. prm%sum_N_tr > 12) write(6,*) 'mist' ! ToDo: implement better test. The model will fail also if N_tr is [6,6] endif @@ -605,7 +604,6 @@ function plastic_dislotwin_homogenizedC(ipc,ip,el) result(homogenizedC) phase_plasticityInstance, & phasememberAt - implicit none real(pReal), dimension(6,6) :: & homogenizedC integer, intent(in) :: & @@ -653,7 +651,6 @@ subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of) math_symmetric33, & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(out) :: Lp real(pReal), dimension(3,3,3,3), intent(out) :: dLp_dMp real(pReal), dimension(3,3), intent(in) :: Mp @@ -776,7 +773,6 @@ subroutine plastic_dislotwin_dotState(Mp,T,instance,of) math_mul33xx33, & PI - implicit none real(pReal), dimension(3,3), intent(in):: & Mp !< Mandel stress real(pReal), intent(in) :: & @@ -869,7 +865,6 @@ subroutine plastic_dislotwin_dependentState(T,instance,of) use math, only: & PI - implicit none integer, intent(in) :: & instance, & of @@ -987,7 +982,6 @@ function plastic_dislotwin_postResults(Mp,T,instance,of) result(postResults) PI, & math_mul33xx33 - implicit none real(pReal), dimension(3,3),intent(in) :: & Mp !< 2nd Piola Kirchhoff stress tensor in Mandel notation real(pReal), intent(in) :: & @@ -1133,7 +1127,6 @@ pure subroutine kinetics_slip(Mp,T,instance,of, & use math, only: & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress real(pReal), intent(in) :: & @@ -1212,7 +1205,6 @@ pure subroutine kinetics_twin(Mp,T,dot_gamma_sl,instance,of,& use math, only: & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress real(pReal), intent(in) :: & @@ -1284,7 +1276,6 @@ pure subroutine kinetics_trans(Mp,T,dot_gamma_sl,instance,of,& use math, only: & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress real(pReal), intent(in) :: & diff --git a/src/plastic_isotropic.f90 b/src/plastic_isotropic.f90 index facfa6d80..1049dc9cf 100644 --- a/src/plastic_isotropic.f90 +++ b/src/plastic_isotropic.f90 @@ -108,7 +108,6 @@ subroutine plastic_isotropic_init config_phase use lattice - implicit none integer :: & Ninstance, & p, i, & @@ -259,7 +258,6 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) math_deviatoric33, & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(out) :: & Lp !< plastic velocity gradient real(pReal), dimension(3,3,3,3), intent(out) :: & @@ -326,7 +324,6 @@ subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar,Tstar,instance,of) math_spherical33, & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(out) :: & Li !< inleastic velocity gradient real(pReal), dimension(3,3,3,3), intent(out) :: & @@ -383,7 +380,6 @@ subroutine plastic_isotropic_dotState(Mp,instance,of) math_mul33xx33, & math_deviatoric33 - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer, intent(in) :: & @@ -436,7 +432,6 @@ function plastic_isotropic_postResults(Mp,instance,of) result(postResults) math_mul33xx33, & math_deviatoric33 - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer, intent(in) :: & diff --git a/src/plastic_kinematichardening.f90 b/src/plastic_kinematichardening.f90 index 04927c85b..27bae7e40 100644 --- a/src/plastic_kinematichardening.f90 +++ b/src/plastic_kinematichardening.f90 @@ -129,7 +129,6 @@ subroutine plastic_kinehardening_init config_phase use lattice - implicit none integer :: & Ninstance, & p, i, o, & @@ -204,9 +203,9 @@ subroutine plastic_kinehardening_init prm%nonSchmid_pos = prm%Schmid prm%nonSchmid_neg = prm%Schmid endif - prm%interaction_SlipSlip = transpose(lattice_interaction_SlipBySlip(prm%Nslip, & + prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(prm%Nslip, & config%getFloats('interaction_slipslip'), & - config%getString('lattice_structure'))) + config%getString('lattice_structure')) prm%crss0 = config%getFloats('crss0', requiredSize=size(prm%Nslip)) prm%tau1 = config%getFloats('tau1', requiredSize=size(prm%Nslip)) @@ -347,7 +346,6 @@ end subroutine plastic_kinehardening_init !-------------------------------------------------------------------------------------------------- pure subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) - implicit none real(pReal), dimension(3,3), intent(out) :: & Lp !< plastic velocity gradient real(pReal), dimension(3,3,3,3), intent(out) :: & @@ -390,7 +388,6 @@ end subroutine plastic_kinehardening_LpAndItsTangent !-------------------------------------------------------------------------------------------------- subroutine plastic_kinehardening_dotState(Mp,instance,of) - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer, intent(in) :: & @@ -443,7 +440,6 @@ subroutine plastic_kinehardening_deltaState(Mp,instance,of) debug_levelSelective #endif - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer, intent(in) :: & @@ -494,7 +490,6 @@ function plastic_kinehardening_postResults(Mp,instance,of) result(postResults) use math, only: & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer, intent(in) :: & @@ -608,7 +603,6 @@ pure subroutine kinetics(Mp,instance,of, & use math, only: & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer, intent(in) :: & diff --git a/src/plastic_none.f90 b/src/plastic_none.f90 index b73bd20ab..e34fd533b 100644 --- a/src/plastic_none.f90 +++ b/src/plastic_none.f90 @@ -5,13 +5,13 @@ !> @brief Dummy plasticity for purely elastic material !-------------------------------------------------------------------------------------------------- module plastic_none - - implicit none - private - - public :: & - plastic_none_init - + + implicit none + private + + public :: & + plastic_none_init + contains !-------------------------------------------------------------------------------------------------- @@ -19,39 +19,39 @@ contains !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- subroutine plastic_none_init - use debug, only: & - debug_level, & - debug_constitutive, & - debug_levelBasic - use material, only: & - phase_plasticity, & - material_allocatePlasticState, & - PLASTICITY_NONE_label, & - PLASTICITY_NONE_ID, & - material_phase, & - plasticState - - implicit none - integer :: & - Ninstance, & - p, & - NipcMyPhase - - write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_NONE_label//' init -+>>>' - - Ninstance = count(phase_plasticity == PLASTICITY_NONE_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance - - do p = 1, size(phase_plasticity) - if (phase_plasticity(p) /= PLASTICITY_NONE_ID) cycle - - NipcMyPhase = count(material_phase == p) - call material_allocatePlasticState(p,NipcMyPhase,0,0,0, & - 0,0,0) - plasticState(p)%sizePostResults = 0 - - enddo + use debug, only: & + debug_level, & + debug_constitutive, & + debug_levelBasic + use material, only: & + phase_plasticity, & + material_allocatePlasticState, & + PLASTICITY_NONE_label, & + PLASTICITY_NONE_ID, & + material_phase, & + plasticState + + implicit none + integer :: & + Ninstance, & + p, & + NipcMyPhase + + write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_NONE_label//' init -+>>>' + + Ninstance = count(phase_plasticity == PLASTICITY_NONE_ID) + if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & + write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + + do p = 1, size(phase_plasticity) + if (phase_plasticity(p) /= PLASTICITY_NONE_ID) cycle + + NipcMyPhase = count(material_phase == p) + call material_allocatePlasticState(p,NipcMyPhase,0,0,0, & + 0,0,0) + plasticState(p)%sizePostResults = 0 + + enddo end subroutine plastic_none_init diff --git a/src/plastic_nonlocal.f90 b/src/plastic_nonlocal.f90 index a9ef98b06..c14223045 100644 --- a/src/plastic_nonlocal.f90 +++ b/src/plastic_nonlocal.f90 @@ -260,7 +260,6 @@ subroutine plastic_nonlocal_init use config use lattice - implicit none character(len=65536), dimension(0), parameter :: emptyStringArray = [character(len=65536)::] integer, dimension(0), parameter :: emptyIntArray = [integer::] real(pReal), dimension(0), parameter :: emptyRealArray = [real(pReal)::] @@ -751,7 +750,6 @@ subroutine plastic_nonlocal_init material_phase, & phase_plasticityInstance, & phasememberAt - implicit none integer,intent(in) ::& phase, & @@ -867,7 +865,6 @@ subroutine plastic_nonlocal_dependentState(Fe, Fp, ip, el) LATTICE_fcc_ID, & lattice_structure - implicit none integer, intent(in) :: & ip, & el @@ -1090,7 +1087,6 @@ end subroutine plastic_nonlocal_dependentState !-------------------------------------------------------------------------------------------------- subroutine plastic_nonlocal_kinetics(v, dv_dtau, dv_dtauNS, tau, tauNS, & tauThreshold, c, Temperature, instance, of) - implicit none integer, intent(in) :: & c, & !< dislocation character (1:edge, 2:screw) instance, of @@ -1239,7 +1235,6 @@ subroutine plastic_nonlocal_LpAndItsTangent(Lp, dLp_dMp, & phaseAt, phasememberAt, & phase_plasticityInstance - implicit none integer, intent(in) :: & ip, & !< current integration point el !< current element number @@ -1392,7 +1387,6 @@ subroutine plastic_nonlocal_deltaState(Mp,ip,el) phaseAt, phasememberAt, & phase_plasticityInstance - implicit none integer, intent(in) :: & ip, & el @@ -1553,7 +1547,6 @@ subroutine plastic_nonlocal_dotState(Mp, Fe, Fp, Temperature, & LATTICE_bcc_ID, & LATTICE_fcc_ID - implicit none integer, intent(in) :: & ip, & !< current integration point el !< current element number @@ -2027,7 +2020,6 @@ subroutine plastic_nonlocal_updateCompatibility(orientation,i,e) use lattice, only: & lattice_qDisorientation - implicit none integer, intent(in) :: & i, & e @@ -2175,7 +2167,6 @@ function plastic_nonlocal_postResults(ph,instance,of) result(postResults) use material, only: & plasticState - implicit none integer, intent(in) :: & ph, & instance, & @@ -2378,7 +2369,6 @@ end function plastic_nonlocal_postResults function getRho(instance,of,ip,el) use mesh - implicit none integer, intent(in) :: instance, of,ip,el real(pReal), dimension(param(instance)%totalNslip,10) :: getRho diff --git a/src/plastic_phenopowerlaw.f90 b/src/plastic_phenopowerlaw.f90 index 272c4d631..f2692a489 100644 --- a/src/plastic_phenopowerlaw.f90 +++ b/src/plastic_phenopowerlaw.f90 @@ -129,7 +129,6 @@ subroutine plastic_phenopowerlaw_init config_phase use lattice - implicit none integer :: & Ninstance, & p, i, & @@ -203,9 +202,9 @@ subroutine plastic_phenopowerlaw_init prm%nonSchmid_pos = prm%Schmid_slip prm%nonSchmid_neg = prm%Schmid_slip endif - prm%interaction_SlipSlip = transpose(lattice_interaction_SlipBySlip(prm%Nslip, & + prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(prm%Nslip, & config%getFloats('interaction_slipslip'), & - config%getString('lattice_structure'))) + config%getString('lattice_structure')) prm%xi_slip_0 = config%getFloats('tau0_slip', requiredSize=size(prm%Nslip)) prm%xi_slip_sat = config%getFloats('tausat_slip', requiredSize=size(prm%Nslip)) @@ -240,9 +239,9 @@ subroutine plastic_phenopowerlaw_init twinActive: if (prm%totalNtwin > 0) then prm%Schmid_twin = lattice_SchmidMatrix_twin(prm%Ntwin,config%getString('lattice_structure'),& config%getFloat('c/a',defaultVal=0.0_pReal)) - prm%interaction_TwinTwin = transpose(lattice_interaction_TwinByTwin(prm%Ntwin,& + prm%interaction_TwinTwin = lattice_interaction_TwinByTwin(prm%Ntwin,& config%getFloats('interaction_twintwin'), & - config%getString('lattice_structure'))) + config%getString('lattice_structure')) prm%gamma_twin_char = lattice_characteristicShear_twin(prm%Ntwin,config%getString('lattice_structure'),& config%getFloat('c/a')) @@ -268,12 +267,12 @@ subroutine plastic_phenopowerlaw_init !-------------------------------------------------------------------------------------------------- ! slip-twin related parameters slipAndTwinActive: if (prm%totalNslip > 0 .and. prm%totalNtwin > 0) then - prm%interaction_SlipTwin = transpose(lattice_interaction_SlipByTwin(prm%Nslip,prm%Ntwin,& + prm%interaction_SlipTwin = lattice_interaction_SlipByTwin(prm%Nslip,prm%Ntwin,& config%getFloats('interaction_sliptwin'), & - config%getString('lattice_structure'))) - prm%interaction_TwinSlip = transpose(lattice_interaction_TwinBySlip(prm%Ntwin,prm%Nslip,& + config%getString('lattice_structure')) + prm%interaction_TwinSlip = lattice_interaction_TwinBySlip(prm%Ntwin,prm%Nslip,& config%getFloats('interaction_twinslip'), & - config%getString('lattice_structure'))) + config%getString('lattice_structure')) else slipAndTwinActive allocate(prm%interaction_SlipTwin(prm%TotalNslip,prm%TotalNtwin)) ! at least one dimension is 0 allocate(prm%interaction_TwinSlip(prm%TotalNtwin,prm%TotalNslip)) ! at least one dimension is 0 @@ -387,7 +386,6 @@ end subroutine plastic_phenopowerlaw_init !-------------------------------------------------------------------------------------------------- pure subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) - implicit none real(pReal), dimension(3,3), intent(out) :: & Lp !< plastic velocity gradient real(pReal), dimension(3,3,3,3), intent(out) :: & @@ -439,7 +437,6 @@ end subroutine plastic_phenopowerlaw_LpAndItsTangent !-------------------------------------------------------------------------------------------------- subroutine plastic_phenopowerlaw_dotState(Mp,instance,of) - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer, intent(in) :: & @@ -498,7 +495,6 @@ function plastic_phenopowerlaw_postResults(Mp,instance,of) result(postResults) use math, only: & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer, intent(in) :: & @@ -616,7 +612,6 @@ pure subroutine kinetics_slip(Mp,instance,of, & use math, only: & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer, intent(in) :: & @@ -693,7 +688,6 @@ pure subroutine kinetics_twin(Mp,instance,of,& use math, only: & math_mul33xx33 - implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer, intent(in) :: &