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DAMASK_EICMD/src/lattice.f90

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Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!--------------------------------------------------------------------------------------------------
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @brief contains lattice structure definitions including Schmid matrices for slip, twin, trans,
! and cleavage as well as interaction among the various systems
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!--------------------------------------------------------------------------------------------------
module lattice
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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use prec
use IO
use config
use math
getting rid of conversions with unclear behavior
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use rotations
to transpose already when constructing the interaction matrix
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implicit none
private
checking for required things
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! BEGIN DEPRECATED
to transpose already when constructing the interaction matrix
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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
commenting
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! END DEPRECATED
ordered by dimension and set private where possible
2018-08-25 20:59:20 +05:30
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!--------------------------------------------------------------------------------------------------
fixed some missing "sum" initialisers, prepared more self consistent variable definitions for future use (ifort > 15.0)
2016-04-26 13:05:42 +05:30
! face centered cubic
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(2), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_FCC_NSLIPSYSTEM = [12, 6] !< # of slip systems per family for fcc
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(1), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_FCC_NTWINSYSTEM = [12] !< # of twin systems per family for fcc
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(1), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_FCC_NTRANSSYSTEM = [12] !< # of transformation systems per family for fcc
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(2), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_FCC_NCLEAVAGESYSTEM = [3, 4] !< # of cleavage systems per family for fcc
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, parameter :: &
labels were not used better use automated labeling of all systems
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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
to transpose already when constructing the interaction matrix
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don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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real(pReal), dimension(3+3,LATTICE_FCC_NSLIP), parameter :: &
to transpose already when constructing the interaction matrix
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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
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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real(pReal), dimension(3+3,LATTICE_FCC_NTWIN), parameter :: &
to transpose already when constructing the interaction matrix
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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
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))
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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real(pReal), dimension(3+3,LATTICE_FCC_NCLEAVAGE), parameter :: &
to transpose already when constructing the interaction matrix
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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))
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!--------------------------------------------------------------------------------------------------
fix merging conflict
2016-04-26 23:53:05 +05:30
! body centered cubic
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(2), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_BCC_NSLIPSYSTEM = [12, 12] !< # of slip systems per family for bcc
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(1), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_BCC_NTWINSYSTEM = [12] !< # of twin systems per family for bcc
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(2), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_BCC_NCLEAVAGESYSTEM = [3, 6] !< # of cleavage systems per family for bcc
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, parameter :: &
labels were not used better use automated labeling of all systems
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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
to transpose already when constructing the interaction matrix
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don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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real(pReal), dimension(3+3,LATTICE_BCC_NSLIP), parameter :: &
to transpose already when constructing the interaction matrix
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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))
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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real(pReal), dimension(3+3,LATTICE_BCC_NTWIN), parameter :: &
to transpose already when constructing the interaction matrix
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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 &
labels were not used better use automated labeling of all systems
2019-10-10 14:18:55 +05:30
],pReal),shape(LATTICE_BCC_SYSTEMTWIN))
to transpose already when constructing the interaction matrix
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don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
2019-05-17 02:26:48 +05:30
real(pReal), dimension(3+3,LATTICE_BCC_NCLEAVAGE), parameter :: &
to transpose already when constructing the interaction matrix
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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))
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!--------------------------------------------------------------------------------------------------
fixed some missing "sum" initialisers, prepared more self consistent variable definitions for future use (ifort > 15.0)
2016-04-26 13:05:42 +05:30
! hexagonal
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(6), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_HEX_NSLIPSYSTEM = [3, 3, 3, 6, 12, 6] !< # of slip systems per family for hex
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(4), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_HEX_NTWINSYSTEM = [6, 6, 6, 6] !< # of slip systems per family for hex
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(1), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_HEX_NCLEAVAGESYSTEM = [3] !< # of cleavage systems per family for hex
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, parameter :: &
labels were not used better use automated labeling of all systems
2019-10-10 14:18:55 +05:30
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
to transpose already when constructing the interaction matrix
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don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
2019-05-17 02:26:48 +05:30
real(pReal), dimension(4+4,LATTICE_HEX_NSLIP), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_HEX_SYSTEMSLIP = reshape(real([&
! Slip direction Plane normal
more useful order
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! Basal systems <-1-1.0>{00.1} (independent of c/a-ratio, Bravais notation (4 coordinate base))
to transpose already when constructing the interaction matrix
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2, -1, -1, 0, 0, 0, 0, 1, &
-1, 2, -1, 0, 0, 0, 0, 1, &
-1, -1, 2, 0, 0, 0, 0, 1, &
more useful order
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! 1st type prismatic systems <-1-1.0>{1-1.0} (independent of c/a-ratio)
to transpose already when constructing the interaction matrix
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2, -1, -1, 0, 0, 1, -1, 0, &
-1, 2, -1, 0, -1, 0, 1, 0, &
-1, -1, 2, 0, 1, -1, 0, 0, &
more useful order
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! 2nd type prismatic systems <-11.0>{11.0} -- a slip; plane normals independent of c/a-ratio
-1, 1, 0, 0, 1, 1, -2, 0, &
0, -1, 1, 0, -2, 1, 1, 0, &
1, 0, -1, 0, 1, -2, 1, 0, &
! 1st type 1st order pyramidal systems <-1-1.0>{-11.1} -- plane normals depend on the c/a-ratio
-1, 2, -1, 0, 1, 0, -1, 1, &
-2, 1, 1, 0, 0, 1, -1, 1, &
-1, -1, 2, 0, -1, 1, 0, 1, &
1, -2, 1, 0, -1, 0, 1, 1, &
2, -1, -1, 0, 0, -1, 1, 1, &
1, 1, -2, 0, 1, -1, 0, 1, &
to transpose already when constructing the interaction matrix
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! pyramidal system: c+a slip <11.3>{-10.1} -- plane normals depend on the c/a-ratio
-2, 1, 1, 3, 1, 0, -1, 1, &
more useful order
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-1, -1, 2, 3, 1, 0, -1, 1, &
-1, -1, 2, 3, 0, 1, -1, 1, &
1, -2, 1, 3, 0, 1, -1, 1, &
1, -2, 1, 3, -1, 1, 0, 1, &
2, -1, -1, 3, -1, 1, 0, 1, &
2, -1, -1, 3, -1, 0, 1, 1, &
1, 1, -2, 3, -1, 0, 1, 1, &
to transpose already when constructing the interaction matrix
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1, 1, -2, 3, 0, -1, 1, 1, &
more useful order
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-1, 2, -1, 3, 0, -1, 1, 1, &
to transpose already when constructing the interaction matrix
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-1, 2, -1, 3, 1, -1, 0, 1, &
more useful order
2019-10-07 21:34:29 +05:30
-2, 1, 1, 3, 1, -1, 0, 1, &
to transpose already when constructing the interaction matrix
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! pyramidal system: c+a slip <11.3>{-1-1.2} -- as for hexagonal ice (Castelnau et al. 1996, similar to twin system found below)
more useful order
2019-10-07 21:34:29 +05:30
-1, -1, 2, 3, 1, 1, -2, 2, & ! <11.3>{-1-1.2} shear = 2((c/a)^2-2)/(3 c/a)
to transpose already when constructing the interaction matrix
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1, -2, 1, 3, -1, 2, -1, 2, &
more useful order
2019-10-07 21:34:29 +05:30
2, -1, -1, 3, -2, 1, 1, 2, &
1, 1, -2, 3, -1, -1, 2, 2, &
-1, 2, -1, 3, 1, -2, 1, 2, &
-2, 1, 1, 3, 2, -1, -1, 2 &
],pReal),shape(LATTICE_HEX_SYSTEMSLIP)) !< slip systems for hex, sorted by P. Eisenlohr CCW around <c> starting next to a_1 axis
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
2019-05-17 02:26:48 +05:30
real(pReal), dimension(4+4,LATTICE_HEX_NTWIN), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_HEX_SYSTEMTWIN = reshape(real([&
more useful order
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! Compression or Tension = f(twinning shear=f(c/a)) for each metal ! (according to Yoo 1981)
-1, 0, 1, 1, 1, 0, -1, 2, & ! <-10.1>{10.2} shear = (3-(c/a)^2)/(sqrt(3) c/a)
0, -1, 1, 1, 0, 1, -1, 2, &
1, -1, 0, 1, -1, 1, 0, 2, &
1, 0, -1, 1, -1, 0, 1, 2, &
to transpose already when constructing the interaction matrix
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0, 1, -1, 1, 0, -1, 1, 2, &
-1, 1, 0, 1, 1, -1, 0, 2, &
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!
more useful order
2019-10-07 21:34:29 +05:30
-1, -1, 2, 6, 1, 1, -2, 1, & ! <11.6>{-1-1.1} shear = 1/(c/a)
to transpose already when constructing the interaction matrix
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1, -2, 1, 6, -1, 2, -1, 1, &
more useful order
2019-10-07 21:34:29 +05:30
2, -1, -1, 6, -2, 1, 1, 1, &
to transpose already when constructing the interaction matrix
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1, 1, -2, 6, -1, -1, 2, 1, &
more useful order
2019-10-07 21:34:29 +05:30
-1, 2, -1, 6, 1, -2, 1, 1, &
-2, 1, 1, 6, 2, -1, -1, 1, &
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!
more useful order
2019-10-07 21:34:29 +05:30
1, 0, -1, -2, 1, 0, -1, 1, & ! <10.-2>{10.1} shear = (4(c/a)^2-9)/(4 sqrt(3) c/a)
0, 1, -1, -2, 0, 1, -1, 1, &
-1, 1, 0, -2, -1, 1, 0, 1, &
-1, 0, 1, -2, -1, 0, 1, 1, &
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
0, -1, 1, -2, 0, -1, 1, 1, &
1, -1, 0, -2, 1, -1, 0, 1, &
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!
more useful order
2019-10-07 21:34:29 +05:30
1, 1, -2, -3, 1, 1, -2, 2, & ! <11.-3>{11.2} shear = 2((c/a)^2-2)/(3 c/a)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
-1, 2, -1, -3, -1, 2, -1, 2, &
-2, 1, 1, -3, -2, 1, 1, 2, &
more useful order
2019-10-07 21:34:29 +05:30
-1, -1, 2, -3, -1, -1, 2, 2, &
to transpose already when constructing the interaction matrix
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1, -2, 1, -3, 1, -2, 1, 2, &
more useful order
2019-10-07 21:34:29 +05:30
2, -1, -1, -3, 2, -1, -1, 2 &
],pReal),shape(LATTICE_HEX_SYSTEMTWIN)) !< twin systems for hex, sorted by P. Eisenlohr CCW around <c> starting next to a_1 axis
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
2019-05-17 02:26:48 +05:30
real(pReal), dimension(4+4,LATTICE_HEX_NCLEAVAGE), parameter :: &
to transpose already when constructing the interaction matrix
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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))
added lattice for (bct) beta- Sn.
2015-06-27 20:25:30 +05:30
!--------------------------------------------------------------------------------------------------
fixed some missing "sum" initialisers, prepared more self consistent variable definitions for future use (ifort > 15.0)
2016-04-26 13:05:42 +05:30
! body centered tetragonal
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(13), parameter :: &
to transpose already when constructing the interaction matrix
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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
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, parameter :: &
labels were not used better use automated labeling of all systems
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LATTICE_BCT_NSLIP = sum(LATTICE_BCT_NSLIPSYSTEM) !< total # of slip systems for bct
to transpose already when constructing the interaction matrix
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don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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real(pReal), dimension(3+3,LATTICE_BCT_NSLIP), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_BCT_SYSTEMSLIP = reshape(real([&
! Slip direction Plane normal
! Slip family 1 {100)<001] (Bravais notation {hkl)<uvw] for bct c/a = 0.5456)
0, 0, 1, 1, 0, 0, &
0, 0, 1, 0, 1, 0, &
! Slip family 2 {110)<001]
0, 0, 1, 1, 1, 0, &
0, 0, 1, -1, 1, 0, &
! slip family 3 {100)<010]
0, 1, 0, 1, 0, 0, &
1, 0, 0, 0, 1, 0, &
! Slip family 4 {110)<1-11]/2
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 family 5 {110)<1-10]
1, -1, 0, 1, 1, 0, &
1, 1, 0, 1,-1, 0, &
! Slip family 6 {100)<011]
0, 1, 1, 1, 0, 0, &
0,-1, 1, 1, 0, 0, &
-1, 0, 1, 0, 1, 0, &
1, 0, 1, 0, 1, 0, &
! Slip family 7 {001)<010]
0, 1, 0, 0, 0, 1, &
1, 0, 0, 0, 0, 1, &
! Slip family 8 {001)<110]
1, 1, 0, 0, 0, 1, &
-1, 1, 0, 0, 0, 1, &
! Slip family 9 {011)<01-1]
0, 1,-1, 0, 1, 1, &
0,-1,-1, 0,-1, 1, &
-1, 0,-1, -1, 0, 1, &
1, 0,-1, 1, 0, 1, &
! Slip family 10 {011)<1-11]/2
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, &
! Slip family 11 {011)<100]
1, 0, 0, 0, 1, 1, &
1, 0, 0, 0, 1,-1, &
0, 1, 0, 1, 0, 1, &
0, 1, 0, 1, 0,-1, &
! Slip family 12 {211)<01-1]
0, 1,-1, 2, 1, 1, &
0,-1,-1, 2,-1, 1, &
1, 0,-1, 1, 2, 1, &
-1, 0,-1, -1, 2, 1, &
0, 1,-1, -2, 1, 1, &
0,-1,-1, -2,-1, 1, &
-1, 0,-1, -1,-2, 1, &
1, 0,-1, 1,-2, 1, &
! Slip family 13 {211)<-111]/2
-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, -2, 1, 1, &
1,-1, 1, -2,-1, 1, &
-1, 1, 1, -1,-2, 1, &
1, 1, 1, 1,-2, 1 &
],pReal),[ 3 + 3,LATTICE_BCT_NSLIP]) !< slip systems for bct sorted by Bieler
labels were not used better use automated labeling of all systems
2019-10-10 14:18:55 +05:30
introduced crystallographic cleavage systems for each lattice type FCC: (100) and (111) planes BCC: (100) and (110) planes HCP: (0001) planes iso/orthotropic: (100) planes
2014-10-28 23:35:51 +05:30
!--------------------------------------------------------------------------------------------------
! isotropic
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(1), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_ISO_NCLEAVAGESYSTEM = [3] !< # of cleavage systems per family for iso
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, parameter :: &
labels were not used better use automated labeling of all systems
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LATTICE_ISO_NCLEAVAGE = sum(LATTICE_ISO_NCLEAVAGESYSTEM) !< total # of cleavage systems for iso
to transpose already when constructing the interaction matrix
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don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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real(pReal), dimension(3+3,LATTICE_ISO_NCLEAVAGE), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_ISO_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 &
],pReal),[ 3 + 3,LATTICE_ISO_NCLEAVAGE])
introduced crystallographic cleavage systems for each lattice type FCC: (100) and (111) planes BCC: (100) and (110) planes HCP: (0001) planes iso/orthotropic: (100) planes
2014-10-28 23:35:51 +05:30
!--------------------------------------------------------------------------------------------------
! orthorhombic
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, dimension(3), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_ORT_NCLEAVAGESYSTEM = [1, 1, 1] !< # of cleavage systems per family for ortho
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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integer, parameter :: &
labels were not used better use automated labeling of all systems
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LATTICE_ORT_NCLEAVAGE = sum(LATTICE_ORT_NCLEAVAGESYSTEM) !< total # of cleavage systems for ortho
to transpose already when constructing the interaction matrix
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don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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real(pReal), dimension(3+3,LATTICE_ORT_NCLEAVAGE), parameter :: &
to transpose already when constructing the interaction matrix
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LATTICE_ORT_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 &
],pReal),[ 3 + 3,LATTICE_ORT_NCLEAVAGE])
checking for required things
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! BEGIN DEPRECATED
to transpose already when constructing the interaction matrix
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integer, parameter, public :: &
LATTICE_maxNcleavage = max(LATTICE_fcc_Ncleavage,LATTICE_bcc_Ncleavage, &
LATTICE_hex_Ncleavage, &
LATTICE_iso_Ncleavage,LATTICE_ort_Ncleavage)
! END DEPRECATED
real(pReal), dimension(:,:,:), allocatable, public, protected :: &
lattice_C66
real(pReal), dimension(:,:,:,:,:), allocatable, public, protected :: &
lattice_C3333
real(pReal), dimension(:), allocatable, public, protected :: &
lattice_mu, lattice_nu
polishing/sorting
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! SHOULD NOT BE PART OF LATTICE BEGIN
labels were not used better use automated labeling of all systems
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real(pReal), dimension(:,:,:,:), allocatable, public, protected :: & ! with higher-order parameters (e.g. temperature-dependent)
to transpose already when constructing the interaction matrix
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lattice_thermalExpansion33
real(pReal), dimension(:,:,:), allocatable, public, protected :: &
lattice_thermalConductivity33, &
lattice_damageDiffusion33
real(pReal), dimension(:), allocatable, public, protected :: &
lattice_damageMobility, &
lattice_massDensity, &
lattice_specificHeat, &
lattice_referenceTemperature
cleaned - only define variables that are needed - define variables where they are needed
2018-12-10 13:03:20 +05:30
! SHOULD NOT BE PART OF LATTICE END
let lattice to the work
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to transpose already when constructing the interaction matrix
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enum, bind(c)
enumerator :: LATTICE_undefined_ID, &
LATTICE_iso_ID, &
LATTICE_fcc_ID, &
LATTICE_bcc_ID, &
LATTICE_hex_ID, &
LATTICE_bct_ID, &
LATTICE_ort_ID
end enum
integer(kind(LATTICE_undefined_ID)), dimension(:), allocatable, public, protected :: &
not needed
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lattice_structure
to transpose already when constructing the interaction matrix
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interface lattice_forestProjection_edge
module procedure slipProjection_transverse
end interface lattice_forestProjection_edge
interface lattice_forestProjection_screw
module procedure slipProjection_direction
end interface lattice_forestProjection_screw
public :: &
removed unused function were based on/used for deprecated orientation handling
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lattice_init, &
LATTICE_iso_ID, &
LATTICE_fcc_ID, &
LATTICE_bcc_ID, &
LATTICE_bct_ID, &
LATTICE_hex_ID, &
LATTICE_ort_ID, &
lattice_SchmidMatrix_slip, &
lattice_SchmidMatrix_twin, &
lattice_SchmidMatrix_trans, &
lattice_SchmidMatrix_cleavage, &
lattice_nonSchmidMatrix, &
lattice_interaction_SlipBySlip, &
lattice_interaction_TwinByTwin, &
lattice_interaction_TransByTrans, &
lattice_interaction_SlipByTwin, &
lattice_interaction_SlipByTrans, &
lattice_interaction_TwinBySlip, &
lattice_characteristicShear_Twin, &
lattice_C66_twin, &
lattice_C66_trans, &
lattice_forestProjection_edge, &
lattice_forestProjection_screw, &
lattice_slip_normal, &
lattice_slip_direction, &
lattice_slip_transverse
contains
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief Module initialization
!--------------------------------------------------------------------------------------------------
subroutine lattice_init
to transpose already when constructing the interaction matrix
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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(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
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)
labels were not used better use automated labeling of all systems
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CoverA(p) = config_phase(p)%getFloat('c/a',defaultVal=0.0_pReal)
to transpose already when constructing the interaction matrix
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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
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
end subroutine lattice_init
to transpose already when constructing the interaction matrix
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polishing/sorting
2018-12-11 05:09:50 +05:30
!--------------------------------------------------------------------------------------------------
forestprojection can be calculated centrally
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!> @brief !!!!!!!DEPRECTATED!!!!!!
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!--------------------------------------------------------------------------------------------------
trans systems now handled centrally remove inactive (= untested) definitions.
2018-12-22 12:19:52 +05:30
subroutine lattice_initializeStructure(myPhase,CoverA)
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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to transpose already when constructing the interaction matrix
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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))<tol_math_check) &
call IO_error(135,el=i,ip=myPhase,ext_msg='matrix diagonal "el"ement of phase "ip"')
enddo
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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do i = 1,3
to transpose already when constructing the interaction matrix
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lattice_thermalExpansion33 (1:3,1:3,i,myPhase) = lattice_symmetrize33(lattice_structure(myPhase),&
lattice_thermalExpansion33 (1:3,1:3,i,myPhase))
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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enddo
to transpose already when constructing the interaction matrix
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lattice_thermalConductivity33 (1:3,1:3,myPhase) = lattice_symmetrize33(lattice_structure(myPhase),&
lattice_thermalConductivity33 (1:3,1:3,myPhase))
lattice_DamageDiffusion33 (1:3,1:3,myPhase) = lattice_symmetrize33(lattice_structure(myPhase),&
lattice_DamageDiffusion33 (1:3,1:3,myPhase))
myNcleavage = 0
select case(lattice_structure(myPhase))
case (LATTICE_fcc_ID)
myNcleavage = lattice_fcc_Ncleavage
lattice_NcleavageSystem(1:2,myPhase) = lattice_fcc_NcleavageSystem
lattice_Scleavage(1:3,1:3,1:3,1:myNcleavage,myPhase) = &
lattice_SchmidMatrix_cleavage(lattice_fcc_ncleavageSystem,'fcc',covera)
case (LATTICE_bcc_ID)
myNcleavage = lattice_bcc_Ncleavage
lattice_NcleavageSystem(1:2,myPhase) = lattice_bcc_NcleavageSystem
lattice_Scleavage(1:3,1:3,1:3,1:myNcleavage,myPhase) = &
lattice_SchmidMatrix_cleavage(lattice_bcc_ncleavagesystem,'bcc',covera)
case (LATTICE_hex_ID)
myNcleavage = lattice_hex_Ncleavage
lattice_NcleavageSystem(1:1,myPhase) = lattice_hex_NcleavageSystem
lattice_Scleavage(1:3,1:3,1:3,1:myNcleavage,myPhase) = &
lattice_SchmidMatrix_cleavage(lattice_hex_ncleavagesystem,'hex',covera)
case (LATTICE_bct_ID)
case (LATTICE_ort_ID)
myNcleavage = lattice_ort_Ncleavage
lattice_NcleavageSystem(1:3,myPhase) = lattice_ort_NcleavageSystem
lattice_Scleavage(1:3,1:3,1:3,1:myNcleavage,myPhase) = &
lattice_SchmidMatrix_cleavage(lattice_ort_NcleavageSystem,'ort',covera)
case (LATTICE_iso_ID)
myNcleavage = lattice_iso_Ncleavage
lattice_NcleavageSystem(1:1,myPhase) = lattice_iso_NcleavageSystem
lattice_Scleavage(1:3,1:3,1:3,1:myNcleavage,myPhase) = &
lattice_SchmidMatrix_cleavage(lattice_iso_NcleavageSystem,'iso',covera)
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!--------------------------------------------------------------------------------------------------
! something went wrong
to transpose already when constructing the interaction matrix
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case default
call IO_error(130,ext_msg='lattice_initializeStructure')
end select
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
end subroutine lattice_initializeStructure
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief Symmetrizes stiffness matrix according to lattice type
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @details J. A. Rayne and B. S. Chandrasekhar Phys. Rev. 120, 1658 Erratum Phys. Rev. 122, 1962
Fixed issue with previous commit
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!--------------------------------------------------------------------------------------------------
pure function lattice_symmetrizeC66(struct,C66)
to transpose already when constructing the interaction matrix
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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)
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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do k=1,3
forall is deprecated in Fortran 2018
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do j=1,3
lattice_symmetrizeC66(k,j) = C66(1,2)
enddo
better readable
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lattice_symmetrizeC66(k,k) = C66(1,1)
to transpose already when constructing the interaction matrix
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lattice_symmetrizeC66(k+3,k+3) = 0.5_pReal*(C66(1,1)-C66(1,2))
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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enddo
to transpose already when constructing the interaction matrix
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case (LATTICE_fcc_ID,LATTICE_bcc_ID)
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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do k=1,3
forall is deprecated in Fortran 2018
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do j=1,3
lattice_symmetrizeC66(k,j) = C66(1,2)
enddo
better readable
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lattice_symmetrizeC66(k,k) = C66(1,1)
to transpose already when constructing the interaction matrix
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lattice_symmetrizeC66(k+3,k+3) = C66(4,4)
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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enddo
to transpose already when constructing the interaction matrix
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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
Fixed issue with previous commit
2014-08-14 17:51:51 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief Symmetrizes 2nd order tensor according to lattice type
!--------------------------------------------------------------------------------------------------
pure function lattice_symmetrize33(struct,T33)
to transpose already when constructing the interaction matrix
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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)
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
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do k=1,3
lattice_symmetrize33(k,k) = T33(1,1)
enddo
to transpose already when constructing the interaction matrix
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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
WIP: Calculation of elasticity matrices for twin and trans
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!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
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!> @brief Characteristic shear for twinning
WIP: Calculation of elasticity matrices for twin and trans
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!--------------------------------------------------------------------------------------------------
calculate only if required
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function lattice_characteristicShear_Twin(Ntwin,structure,CoverA) result(characteristicShear)
to transpose already when constructing the interaction matrix
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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
calculate only if required
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end function lattice_characteristicShear_Twin
to transpose already when constructing the interaction matrix
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WIP: Calculation of elasticity matrices for twin and trans
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!--------------------------------------------------------------------------------------------------
more sanity checks structure string can be now of arbitrary length (technically) only fcc,hex,bcc,bct,ort are accepted labels
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!> @brief Rotated elasticity matrices for twinning in 66-vector notation
WIP: Calculation of elasticity matrices for twin and trans
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!--------------------------------------------------------------------------------------------------
cleaning
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function lattice_C66_twin(Ntwin,C66,structure,CoverA)
more sanity checks structure string can be now of arbitrary length (technically) only fcc,hex,bcc,bct,ort are accepted labels
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to transpose already when constructing the interaction matrix
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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
getting rid of conversions with unclear behavior
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real(pReal), dimension(3,3,sum(Ntwin)):: coordinateSystem
type(rotation) :: R
to transpose already when constructing the interaction matrix
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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)
same names as in python
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call R%fromAxisAngle([coordinateSystem(1:3,2,i),PI],P=1) ! ToDo: Why always 180 deg?
even better to read
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lattice_C66_twin(1:6,1:6,i) = R%rotTensor4sym(C66)
to transpose already when constructing the interaction matrix
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enddo
getting rid of conversions with unclear behavior
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cleaning
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end function lattice_C66_twin
to transpose already when constructing the interaction matrix
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WIP: Calculation of elasticity matrices for twin and trans
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!--------------------------------------------------------------------------------------------------
more sanity checks structure string can be now of arbitrary length (technically) only fcc,hex,bcc,bct,ort are accepted labels
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!> @brief Rotated elasticity matrices for transformation in 66-vector notation
WIP: Calculation of elasticity matrices for twin and trans
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!--------------------------------------------------------------------------------------------------
more sanity checks structure string can be now of arbitrary length (technically) only fcc,hex,bcc,bct,ort are accepted labels
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function lattice_C66_trans(Ntrans,C_parent66,structure_target, &
more error checking
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cOverA_trans,a_bcc,a_fcc)
to transpose already when constructing the interaction matrix
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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
more sanity checks structure string can be now of arbitrary length (technically) only fcc,hex,bcc,bct,ort are accepted labels
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to transpose already when constructing the interaction matrix
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real(pReal), dimension(6,6) :: C_bar66, C_target_unrotated66
real(pReal), dimension(3,3,sum(Ntrans)) :: Q,S
make use of consistency checks
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type(rotation) :: R
more error checking
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real(pReal) :: a_bcc, a_fcc, cOverA_trans
to transpose already when constructing the interaction matrix
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integer :: i
if (len_trim(structure_target) /= 3) &
call IO_error(137,ext_msg='lattice_C66_trans (target): '//trim(structure_target))
!--------------------------------------------------------------------------------------------------
! elasticity matrix of the target phase in cube orientation
if (structure_target(1:3) == 'hex') then
more error checking
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if (cOverA_trans < 1.0_pReal .or. cOverA_trans > 2.0_pReal) &
better check input data
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call IO_error(131,ext_msg='lattice_C66_trans: '//trim(structure_target))
to transpose already when constructing the interaction matrix
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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)
more error checking
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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)))
to transpose already when constructing the interaction matrix
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C_target_unrotated66 = lattice_symmetrizeC66(LATTICE_HEX_ID,C_target_unrotated66)
elseif (structure_target(1:3) == 'bcc') then
more error checking
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if (a_bcc <= 0.0_pReal .or. a_fcc <= 0.0_pReal) &
call IO_error(134,ext_msg='lattice_C66_trans: '//trim(structure_target))
to transpose already when constructing the interaction matrix
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C_target_unrotated66 = C_parent66
else
more error checking
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call IO_error(137,ext_msg='lattice_C66_trans : '//trim(structure_target))
to transpose already when constructing the interaction matrix
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endif
do i = 1, 6
if (abs(C_target_unrotated66(i,i))<tol_math_check) &
call IO_error(135,el=i,ext_msg='matrix diagonal "el"ement in transformation')
enddo
easier to read
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more error checking
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call buildTransformationSystem(Q,S,Ntrans,cOverA_trans,a_fcc,a_bcc)
to transpose already when constructing the interaction matrix
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do i = 1, sum(Ntrans)
same names as in python
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call R%fromMatrix(Q(1:3,1:3,i))
even better to read
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lattice_C66_trans(1:6,1:6,i) = R%rotTensor4sym(C_target_unrotated66)
to transpose already when constructing the interaction matrix
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enddo
getting rid of conversions with unclear behavior
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to transpose already when constructing the interaction matrix
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end function lattice_C66_trans
WIP: Calculation of elasticity matrices for twin and trans
2018-10-06 14:12:25 +05:30
!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @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
WIP: Calculation of elasticity matrices for twin and trans
2018-10-06 14:12:25 +05:30
!--------------------------------------------------------------------------------------------------
function to calculate nonSchmid matrix
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function lattice_nonSchmidMatrix(Nslip,nonSchmidCoefficients,sense) result(nonSchmidMatrix)
to transpose already when constructing the interaction matrix
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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
getting rid of conversions with unclear behavior
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real(pReal), dimension(1:3,1:3,sum(Nslip)) :: coordinateSystem !< coordinate system of slip system
real(pReal), dimension(3) :: direction, normal, np
type(rotation) :: R
integer :: i
to transpose already when constructing the interaction matrix
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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)
same names as in python
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call R%fromAxisAngle([direction,60.0_pReal],degrees=.true.,P=1)
np = R%rotate(normal)
getting rid of conversions with unclear behavior
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to transpose already when constructing the interaction matrix
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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
getting rid of conversions with unclear behavior
2019-09-20 19:38:21 +05:30
function to calculate nonSchmid matrix
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end function lattice_nonSchmidMatrix
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
generic function and interfaces for slipSlip, twinTwin, transTrans
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!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
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!> @brief Slip-slip interaction matrix
!> details only active slip systems are considered
generic function and interfaces for slipSlip, twinTwin, transTrans
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!--------------------------------------------------------------------------------------------------
fortran fast storage of interaction matrices
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function lattice_interaction_SlipBySlip(Nslip,interactionValues,structure) result(interactionMatrix)
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
2019-05-17 02:26:48 +05:30
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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
avoid publicly avaialbe data, rather provide setters and getters
2019-02-17 22:26:48 +05:30
!< 1: self interaction
!< 2: coplanar interaction
!< 3: collinear interaction
!< 4: Hirth locks
!< 5: glissile junctions
!< 6: Lomer locks
!< 7: crossing (similar to Hirth locks in <110>{111} for two {110} planes)
!< 8: similar to Lomer locks in <110>{111} for two {110} planes
!< 9: similar to Lomer locks in <110>{111} btw one {110} and one {111} plane
!<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
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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
avoid publicly avaialbe data, rather provide setters and getters
2019-02-17 22:26:48 +05:30
!< 1: self interaction
!< 2: coplanar interaction
!< 3: collinear interaction
!< 4: mixed-asymmetrical junction
!< 5: mixed-symmetrical junction
!< 6: edge junction
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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)
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
end function lattice_interaction_SlipBySlip
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
generic function and interfaces for slipSlip, twinTwin, transTrans
2018-08-25 16:38:32 +05:30
!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @brief Twin-twin interaction matrix
!> details only active twin systems are considered
generic function and interfaces for slipSlip, twinTwin, transTrans
2018-08-25 16:38:32 +05:30
!--------------------------------------------------------------------------------------------------
fortran fast storage of interaction matrices
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function lattice_interaction_TwinByTwin(Ntwin,interactionValues,structure) result(interactionMatrix)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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
cleaned - only define variables that are needed - define variables where they are needed
2018-12-10 13:03:20 +05:30
!< 1: self interaction
!< 2: collinear interaction
!< 3: other interaction
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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)
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
end function lattice_interaction_TwinByTwin
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
polishing/sorting
2018-12-11 05:09:50 +05:30
!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @brief Trans-trans interaction matrix
!> details only active trans systems are considered
polishing/sorting
2018-12-11 05:09:50 +05:30
!--------------------------------------------------------------------------------------------------
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
function lattice_interaction_TransByTrans(Ntrans,interactionValues,structure) result(interactionMatrix)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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)
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
end function lattice_interaction_TransByTrans
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
also building interactions for slip-twin and twin-slip
2018-10-03 11:21:11 +05:30
!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @brief Slip-twin interaction matrix
!> details only active slip and twin systems are considered
also building interactions for slip-twin and twin-slip
2018-10-03 11:21:11 +05:30
!--------------------------------------------------------------------------------------------------
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
function lattice_interaction_SlipByTwin(Nslip,Ntwin,interactionValues,structure) result(interactionMatrix)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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
cleaned - only define variables that are needed - define variables where they are needed
2018-12-10 13:03:20 +05:30
!< 1: coplanar interaction
!< 2: screw trace between slip system and twin habit plane (easy cross slip)
!< 3: other interaction
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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
cleaned - only define variables that are needed - define variables where they are needed
2018-12-10 13:03:20 +05:30
!< 1: coplanar interaction
!< 2: screw trace between slip system and twin habit plane (easy cross slip)
!< 3: other interaction
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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, &
!
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)
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
end function lattice_interaction_SlipByTwin
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
polishing/sorting
2018-12-11 05:09:50 +05:30
!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @brief Slip-trans interaction matrix
!> details only active slip and trans systems are considered
polishing/sorting
2018-12-11 05:09:50 +05:30
!--------------------------------------------------------------------------------------------------
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
function lattice_interaction_SlipByTrans(Nslip,Ntrans,interactionValues,structure) result(interactionMatrix)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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
also building interactions for slip-twin and twin-slip
2018-10-03 11:21:11 +05:30
!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @brief Twin-slip interaction matrix
!> details only active twin and slip systems are considered
also building interactions for slip-twin and twin-slip
2018-10-03 11:21:11 +05:30
!--------------------------------------------------------------------------------------------------
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
function lattice_interaction_TwinBySlip(Ntwin,Nslip,interactionValues,structure) result(interactionMatrix)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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)
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
end function lattice_interaction_TwinBySlip
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
functionality to calculate SchmidMatrices
2018-08-25 22:02:55 +05:30
!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @brief Schmid matrix for slip
!> details only active slip systems are considered
functionality to calculate SchmidMatrices
2018-08-25 22:02:55 +05:30
!--------------------------------------------------------------------------------------------------
WIP: polishing and implementing remaining functions
2018-09-12 17:59:22 +05:30
function lattice_SchmidMatrix_slip(Nslip,structure,cOverA) result(SchmidMatrix)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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
more sanity checks structure string can be now of arbitrary length (technically) only fcc,hex,bcc,bct,ort are accepted labels
2019-01-25 18:12:38 +05:30
more meaningful error messages
2018-09-12 17:33:45 +05:30
end function lattice_SchmidMatrix_slip
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
generic function and interfaces for slipSlip, twinTwin, transTrans
2018-08-25 16:38:32 +05:30
!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @brief Schmid matrix for twinning
!> details only active twin systems are considered
generic function and interfaces for slipSlip, twinTwin, transTrans
2018-08-25 16:38:32 +05:30
!--------------------------------------------------------------------------------------------------
unified error checking
2018-10-07 23:33:45 +05:30
function lattice_SchmidMatrix_twin(Ntwin,structure,cOverA) result(SchmidMatrix)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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
more error checking
2019-09-21 06:46:08 +05:30
end function lattice_SchmidMatrix_twin
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
trans systems now handled centrally remove inactive (= untested) definitions.
2018-12-22 12:19:52 +05:30
!--------------------------------------------------------------------------------------------------
!> @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)
to transpose already when constructing the interaction matrix
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integer, dimension(:), intent(in) :: Ntrans !< number of active twin systems per family
character(len=*), intent(in) :: structure_target !< lattice structure
more error checking
2019-09-21 06:46:08 +05:30
real(pReal), intent(in) :: cOverA !< c/a ratio
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
real(pReal), dimension(3,3,sum(Ntrans)) :: SchmidMatrix
better readable
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real(pReal), dimension(3,3,sum(Ntrans)) :: devNull
real(pReal) :: a_bcc, a_fcc
to transpose already when constructing the interaction matrix
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if (len_trim(structure_target) /= 3) &
more error checking
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call IO_error(137,ext_msg='lattice_SchmidMatrix_trans: '//trim(structure_target))
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
if (structure_target(1:3) /= 'bcc' .and. structure_target(1:3) /= 'hex') &
more error checking
2019-09-21 06:46:08 +05:30
call IO_error(137,ext_msg='lattice_SchmidMatrix_trans: '//trim(structure_target))
if (structure_target(1:3) == 'hex' .and. (cOverA < 1.0_pReal .or. cOverA > 2.0_pReal)) &
call IO_error(131,ext_msg='lattice_SchmidMatrix_trans: '//trim(structure_target))
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
more error checking
2019-09-21 06:46:08 +05:30
if (structure_target(1:3) == 'bcc' .and. (a_bcc <= 0.0_pReal .or. a_fcc <= 0.0_pReal)) &
call IO_error(134,ext_msg='lattice_SchmidMatrix_trans: '//trim(structure_target))
to transpose already when constructing the interaction matrix
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call buildTransformationSystem(devNull,SchmidMatrix,Ntrans,cOverA,a_fcc,a_bcc)
end function lattice_SchmidMatrix_trans
cleavage systems avaialable as function
2018-10-16 01:59:23 +05:30
!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @brief Schmid matrix for cleavage
!> details only active cleavage systems are considered
cleavage systems avaialable as function
2018-10-16 01:59:23 +05:30
!--------------------------------------------------------------------------------------------------
function lattice_SchmidMatrix_cleavage(Ncleavage,structure,cOverA) result(SchmidMatrix)
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
2019-05-17 02:26:48 +05:30
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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
more sanity checks structure string can be now of arbitrary length (technically) only fcc,hex,bcc,bct,ort are accepted labels
2019-01-25 18:12:38 +05:30
cleavage systems avaialable as function
2018-10-16 01:59:23 +05:30
end function lattice_SchmidMatrix_cleavage
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
provide slip system components as functions
2019-02-20 12:23:34 +05:30
!--------------------------------------------------------------------------------------------------
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
!> @brief Slip direction of slip systems (|| b)
provide slip system components as functions
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!--------------------------------------------------------------------------------------------------
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
function lattice_slip_direction(Nslip,structure,cOverA) result(d)
provide slip system components as functions
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to transpose already when constructing the interaction matrix
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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))
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
end function lattice_slip_direction
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
provide slip system components as functions
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!--------------------------------------------------------------------------------------------------
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
!> @brief Normal direction of slip systems (|| n)
provide slip system components as functions
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!--------------------------------------------------------------------------------------------------
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
function lattice_slip_normal(Nslip,structure,cOverA) result(n)
provide slip system components as functions
2019-02-20 12:23:34 +05:30
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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))
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
end function lattice_slip_normal
provide slip system components as functions
2019-02-20 12:23:34 +05:30
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
provide slip system components as functions
2019-02-20 12:23:34 +05:30
!--------------------------------------------------------------------------------------------------
fortran fast storage of interaction matrices
2019-03-12 03:11:59 +05:30
!> @brief Transverse direction of slip systems ( || t = b x n)
provide slip system components as functions
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!--------------------------------------------------------------------------------------------------
function lattice_slip_transverse(Nslip,structure,cOverA) result(t)
to transpose already when constructing the interaction matrix
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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))
provide slip system components as functions
2019-02-20 12:23:34 +05:30
end function lattice_slip_transverse
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
forestprojection can be calculated centrally
2018-12-12 03:30:56 +05:30
!--------------------------------------------------------------------------------------------------
let lattice to the work
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!> @brief Projection of the transverse direction onto the slip plane
fracture modes are calculated differently
2019-03-09 17:18:01 +05:30
!> @details: This projection is used to calculate forest hardening for edge dislocations
forestprojection can be calculated centrally
2018-12-12 03:30:56 +05:30
!--------------------------------------------------------------------------------------------------
let lattice to the work
2019-02-20 04:25:59 +05:30
function slipProjection_transverse(Nslip,structure,cOverA) result(projection)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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
better explicit
2019-09-21 21:46:58 +05:30
real(pReal), dimension(3,sum(Nslip)) :: n, t
integer :: i, j
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
better explicit
2019-09-21 21:46:58 +05:30
n = lattice_slip_normal (Nslip,structure,cOverA)
t = lattice_slip_transverse(Nslip,structure,cOverA)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
do i=1, sum(Nslip); do j=1, sum(Nslip)
better explicit
2019-09-21 21:46:58 +05:30
projection(i,j) = abs(math_inner(n(:,i),t(:,j)))
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
enddo; enddo
better explicit
2019-09-21 21:46:58 +05:30
let lattice to the work
2019-02-20 04:25:59 +05:30
end function slipProjection_transverse
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
let lattice to the work
2019-02-20 04:25:59 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief Projection of the slip direction onto the slip plane
fracture modes are calculated differently
2019-03-09 17:18:01 +05:30
!> @details: This projection is used to calculate forest hardening for screw dislocations
let lattice to the work
2019-02-20 04:25:59 +05:30
!--------------------------------------------------------------------------------------------------
function slipProjection_direction(Nslip,structure,cOverA) result(projection)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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
better explicit
2019-09-21 21:46:58 +05:30
real(pReal), dimension(3,sum(Nslip)) :: n, d
integer :: i, j
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
better explicit
2019-09-21 21:46:58 +05:30
n = lattice_slip_normal (Nslip,structure,cOverA)
d = lattice_slip_direction(Nslip,structure,cOverA)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
do i=1, sum(Nslip); do j=1, sum(Nslip)
better explicit
2019-09-21 21:46:58 +05:30
projection(i,j) = abs(math_inner(n(:,i),d(:,j)))
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
enddo; enddo
provide slip system components as functions
2019-02-20 12:23:34 +05:30
let lattice to the work
2019-02-20 04:25:59 +05:30
end function slipProjection_direction
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
provide slip system components as functions
2019-02-20 12:23:34 +05:30
!--------------------------------------------------------------------------------------------------
!> @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)
don't clutter the code with useless stuff we only need to be more strict about prefixing functions/subroutines/variables to see in which module they reside
2019-05-17 02:26:48 +05:30
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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)
provide slip system components as functions
2019-02-20 12:23:34 +05:30
end function coordinateSystem_slip
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
commenting
2018-09-08 23:02:26 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief Populates reduced interaction matrix
!--------------------------------------------------------------------------------------------------
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
function buildInteraction(reacting_used,acting_used,reacting_max,acting_max,values,matrix)
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
better readable
2019-03-12 14:06:54 +05:30
generic function and interfaces for slipSlip, twinTwin, transTrans
2018-08-25 16:38:32 +05:30
end function buildInteraction
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
functionality to calculate SchmidMatrices
2018-08-25 22:02:55 +05:30
!--------------------------------------------------------------------------------------------------
provide slip system components as functions
2019-02-20 12:23:34 +05:30
!> @brief build a local coordinate system on slip, twin, trans, cleavage systems
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @details Order: Direction, plane (normal), and common perpendicular
functionality to calculate SchmidMatrices
2018-08-25 22:02:55 +05:30
!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
function buildCoordinateSystem(active,complete,system,structure,cOverA)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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)
better readable
2019-10-10 15:40:13 +05:30
buildCoordinateSystem(1:3,2,a) = normal /norm2(normal)
buildCoordinateSystem(1:3,3,a) = math_cross(direction/norm2(direction),&
normal /norm2(normal))
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
enddo activeSystems
enddo activeFamilies
functionality to calculate SchmidMatrices
2018-08-25 22:02:55 +05:30
end function buildCoordinateSystem
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
forestprojection can be calculated centrally
2018-12-12 03:30:56 +05:30
!--------------------------------------------------------------------------------------------------
polished sanity checks + documentation
2018-12-12 04:59:19 +05:30
!> @brief Helper function to define transformation systems
trans systems now handled centrally remove inactive (= untested) definitions.
2018-12-22 12:19:52 +05:30
! Needed to calculate Schmid matrix and rotated stiffness matrices.
! @details: set c/a = 0.0 for fcc -> bcc transformation
more error checking
2019-09-21 06:46:08 +05:30
! set a_Xcc = 0.0 for fcc -> hex transformation
forestprojection can be calculated centrally
2018-12-12 03:30:56 +05:30
!--------------------------------------------------------------------------------------------------
trans systems now handled centrally remove inactive (= untested) definitions.
2018-12-22 12:19:52 +05:30
subroutine buildTransformationSystem(Q,S,Ntrans,cOverA,a_fcc,a_bcc)
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
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
getting rid of conversions with unclear behavior
2019-09-20 19:38:21 +05:30
type(rotation) :: &
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
R, & !< Pitsch rotation
getting rid of conversions with unclear behavior
2019-09-20 19:38:21 +05:30
B !< Rotation of fcc to Bain coordinate system
real(pReal), dimension(3,3) :: &
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
U, & !< Bain deformation
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)
getting rid of conversions with unclear behavior
2019-09-20 19:38:21 +05:30
0.0,-1.0, 0.0, 10.26, &
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
0.0, 0.0, 1.0, 10.26, &
getting rid of conversions with unclear behavior
2019-09-20 19:38:21 +05:30
0.0, 0.0,-1.0, 10.26, &
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
1.0, 0.0, 0.0, 10.26, &
getting rid of conversions with unclear behavior
2019-09-20 19:38:21 +05:30
-1.0, 0.0, 0.0, 10.26, &
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
0.0, 0.0, 1.0, 10.26, &
getting rid of conversions with unclear behavior
2019-09-20 19:38:21 +05:30
0.0, 0.0,-1.0, 10.26, &
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
1.0, 0.0, 0.0, 10.26, &
getting rid of conversions with unclear behavior
2019-09-20 19:38:21 +05:30
-1.0, 0.0, 0.0, 10.26, &
to transpose already when constructing the interaction matrix
2019-04-13 04:16:27 +05:30
0.0, 1.0, 0.0, 10.26, &
getting rid of conversions with unclear behavior
2019-09-20 19:38:21 +05:30
0.0,-1.0, 0.0, 10.26 &
to transpose already when constructing the interaction matrix
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],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))
more error checking
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if (a_bcc > 0.0_pReal .and. a_fcc > 0.0_pReal .and. dEq0(cOverA)) then ! fcc -> bcc transformation
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do i = 1,sum(Ntrans)
same names as in python
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call R%fromAxisAngle(LATTICE_FCCTOBCC_SYSTEMTRANS(:,i),degrees=.true.,P=1)
call B%fromAxisAngle(LATTICE_FCCTOBCC_BAINROT(:,i), degrees=.true.,P=1)
getting rid of conversions with unclear behavior
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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)
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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)
same names as in python
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Q(1:3,1:3,i) = matmul(R%asMatrix(),B%asMatrix())
S(1:3,1:3,i) = matmul(R%asMatrix(),U) - MATH_I3
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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
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sd(3,3) = cOverA/sqrt(8.0_pReal/3.0_pReal)
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do i = 1,sum(Ntrans)
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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))
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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
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call IO_error(132,ext_msg='buildTransformationSystem')
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endif
getting rid of conversions with unclear behavior
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trans systems now handled centrally remove inactive (= untested) definitions.
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end subroutine buildTransformationSystem
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Fixed issue with previous commit
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end module lattice