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Merge branch 'update-crystal-structure-name' into 'development' 

Update crystal structure name

See merge request damask/DAMASK!529
This commit is contained in:
Franz Roters 2022-02-21 09:00:00 +00:00
parent 9ba0a4bd86 f6bcabd328
commit ca6a3e7869
2 changed files with 235 additions and 233 deletions
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src/lattice.f90
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@ -17,27 +17,28 @@ module lattice
private private
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! face centered cubic (cF) ! cF: face centered cubic (fcc)
integer, dimension(*), parameter :: &
FCC_NSLIPSYSTEM = [12, 6] !< # of slip systems per family for fcc
integer, dimension(*), parameter :: & integer, dimension(*), parameter :: &
FCC_NTWINSYSTEM = [12] !< # of twin systems per family for fcc CF_NSLIPSYSTEM = [12, 6] !< # of slip systems per family for cF
integer, dimension(*), parameter :: & integer, dimension(*), parameter :: &
FCC_NTRANSSYSTEM = [12] !< # of transformation systems per family for fcc CF_NTWINSYSTEM = [12] !< # of twin systems per family for cF
integer, dimension(*), parameter :: & integer, dimension(*), parameter :: &
FCC_NCLEAVAGESYSTEM = [3] !< # of cleavage systems per family for fcc CF_NTRANSSYSTEM = [12] !< # of transformation systems per family for cF
integer, dimension(*), parameter :: &
CF_NCLEAVAGESYSTEM = [3] !< # of cleavage systems per family for cF
integer, parameter :: & integer, parameter :: &
FCC_NSLIP = sum(FCC_NSLIPSYSTEM), & !< total # of slip systems for fcc CF_NSLIP = sum(CF_NSLIPSYSTEM), & !< total # of slip systems for cF
FCC_NTWIN = sum(FCC_NTWINSYSTEM), & !< total # of twin systems for fcc CF_NTWIN = sum(CF_NTWINSYSTEM), & !< total # of twin systems for cF
FCC_NTRANS = sum(FCC_NTRANSSYSTEM), & !< total # of transformation systems for fcc CF_NTRANS = sum(CF_NTRANSSYSTEM), & !< total # of transformation systems for cF
FCC_NCLEAVAGE = sum(FCC_NCLEAVAGESYSTEM) !< total # of cleavage systems for fcc CF_NCLEAVAGE = sum(CF_NCLEAVAGESYSTEM) !< total # of cleavage systems for cF
real(pReal), dimension(3+3,FCC_NSLIP), parameter :: & real(pReal), dimension(3+3,CF_NSLIP), parameter :: &
FCC_SYSTEMSLIP = reshape(real([& CF_SYSTEMSLIP = reshape(real([&
! <110>{111} systems ! <110>{111} systems
0, 1,-1, 1, 1, 1, & ! B2 0, 1,-1, 1, 1, 1, & ! B2
-1, 0, 1, 1, 1, 1, & ! B4 -1, 0, 1, 1, 1, 1, & ! B4
@ -58,10 +59,10 @@ module lattice
1, 0,-1, 1, 0, 1, & 1, 0,-1, 1, 0, 1, &
0, 1, 1, 0, 1,-1, & 0, 1, 1, 0, 1,-1, &
0, 1,-1, 0, 1, 1 & 0, 1,-1, 0, 1, 1 &
],pReal),shape(FCC_SYSTEMSLIP)) !< fcc slip systems ],pReal),shape(CF_SYSTEMSLIP)) !< cF slip systems
real(pReal), dimension(3+3,FCC_NTWIN), parameter :: & real(pReal), dimension(3+3,CF_NTWIN), parameter :: &
FCC_SYSTEMTWIN = reshape(real( [& CF_SYSTEMTWIN = reshape(real( [&
! <112>{111} systems ! <112>{111} systems
-2, 1, 1, 1, 1, 1, & -2, 1, 1, 1, 1, 1, &
1,-2, 1, 1, 1, 1, & 1,-2, 1, 1, 1, 1, &
@ -75,10 +76,10 @@ module lattice
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, 1, 2, -1, 1,-1 & -1, 1, 2, -1, 1,-1 &
],pReal),shape(FCC_SYSTEMTWIN)) !< fcc twin systems ],pReal),shape(CF_SYSTEMTWIN)) !< cF twin systems
integer, dimension(2,FCC_NTWIN), parameter, public :: & integer, dimension(2,CF_NTWIN), parameter, public :: &
lattice_FCC_TWINNUCLEATIONSLIPPAIR = reshape( [& lattice_CF_TWINNUCLEATIONSLIPPAIR = reshape( [&
2,3, & 2,3, &
1,3, & 1,3, &
1,2, & 1,2, &
@ -91,34 +92,35 @@ module lattice
11,12, & 11,12, &
10,12, & 10,12, &
10,11 & 10,11 &
],shape(lattice_FCC_TWINNUCLEATIONSLIPPAIR)) ],shape(lattice_CF_TWINNUCLEATIONSLIPPAIR))
real(pReal), dimension(3+3,FCC_NCLEAVAGE), parameter :: & real(pReal), dimension(3+3,CF_NCLEAVAGE), parameter :: &
FCC_SYSTEMCLEAVAGE = reshape(real([& CF_SYSTEMCLEAVAGE = reshape(real([&
! <001>{001} systems ! <001>{001} systems
0, 1, 0, 1, 0, 0, & 0, 1, 0, 1, 0, 0, &
0, 0, 1, 0, 1, 0, & 0, 0, 1, 0, 1, 0, &
1, 0, 0, 0, 0, 1 & 1, 0, 0, 0, 0, 1 &
],pReal),shape(FCC_SYSTEMCLEAVAGE)) !< fcc cleavage systems ],pReal),shape(CF_SYSTEMCLEAVAGE)) !< cF cleavage systems
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! body centered cubic (cI) ! cI: body centered cubic (bcc)
integer, dimension(*), parameter :: &
BCC_NSLIPSYSTEM = [12, 12, 24] !< # of slip systems per family for bcc
integer, dimension(*), parameter :: & integer, dimension(*), parameter :: &
BCC_NTWINSYSTEM = [12] !< # of twin systems per family for bcc CI_NSLIPSYSTEM = [12, 12, 24] !< # of slip systems per family for cI
integer, dimension(*), parameter :: & integer, dimension(*), parameter :: &
BCC_NCLEAVAGESYSTEM = [3] !< # of cleavage systems per family for bcc CI_NTWINSYSTEM = [12] !< # of twin systems per family for cI
integer, dimension(*), parameter :: &
CI_NCLEAVAGESYSTEM = [3] !< # of cleavage systems per family for cI
integer, parameter :: & integer, parameter :: &
BCC_NSLIP = sum(BCC_NSLIPSYSTEM), & !< total # of slip systems for bcc CI_NSLIP = sum(CI_NSLIPSYSTEM), & !< total # of slip systems for cI
BCC_NTWIN = sum(BCC_NTWINSYSTEM), & !< total # of twin systems for bcc CI_NTWIN = sum(CI_NTWINSYSTEM), & !< total # of twin systems for cI
BCC_NCLEAVAGE = sum(BCC_NCLEAVAGESYSTEM) !< total # of cleavage systems for bcc CI_NCLEAVAGE = sum(CI_NCLEAVAGESYSTEM) !< total # of cleavage systems for cI
real(pReal), dimension(3+3,BCC_NSLIP), parameter :: & real(pReal), dimension(3+3,CI_NSLIP), parameter :: &
BCC_SYSTEMSLIP = reshape(real([& CI_SYSTEMSLIP = reshape(real([&
! <111>{110} systems ! <111>{110} systems
1,-1, 1, 0, 1, 1, & ! D1 1,-1, 1, 0, 1, 1, & ! D1
-1,-1, 1, 0, 1, 1, & ! C1 -1,-1, 1, 0, 1, 1, & ! C1
@ -170,10 +172,10 @@ module lattice
1, 1, 1, -3, 2, 1, & 1, 1, 1, -3, 2, 1, &
1, 1,-1, 3,-2, 1, & 1, 1,-1, 3,-2, 1, &
1,-1, 1, 3, 2,-1 & 1,-1, 1, 3, 2,-1 &
],pReal),shape(BCC_SYSTEMSLIP)) !< bcc slip systems ],pReal),shape(CI_SYSTEMSLIP)) !< cI slip systems
real(pReal), dimension(3+3,BCC_NTWIN), parameter :: & real(pReal), dimension(3+3,CI_NTWIN), parameter :: &
BCC_SYSTEMTWIN = reshape(real([& CI_SYSTEMTWIN = reshape(real([&
! <111>{112} systems ! <111>{112} systems
-1, 1, 1, 2, 1, 1, & -1, 1, 1, 2, 1, 1, &
1, 1, 1, -2, 1, 1, & 1, 1, 1, -2, 1, 1, &
@ -187,30 +189,31 @@ module lattice
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,-2 & 1, 1, 1, 1, 1,-2 &
],pReal),shape(BCC_SYSTEMTWIN)) !< bcc twin systems ],pReal),shape(CI_SYSTEMTWIN)) !< cI twin systems
real(pReal), dimension(3+3,BCC_NCLEAVAGE), parameter :: & real(pReal), dimension(3+3,CI_NCLEAVAGE), parameter :: &
BCC_SYSTEMCLEAVAGE = reshape(real([& CI_SYSTEMCLEAVAGE = reshape(real([&
! <001>{001} systems ! <001>{001} systems
0, 1, 0, 1, 0, 0, & 0, 1, 0, 1, 0, 0, &
0, 0, 1, 0, 1, 0, & 0, 0, 1, 0, 1, 0, &
1, 0, 0, 0, 0, 1 & 1, 0, 0, 0, 0, 1 &
],pReal),shape(BCC_SYSTEMCLEAVAGE)) !< bcc cleavage systems ],pReal),shape(CI_SYSTEMCLEAVAGE)) !< cI cleavage systems
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! hexagonal (hP) ! hP: hexagonal [close packed] (hex, hcp)
integer, dimension(*), parameter :: &
HEX_NSLIPSYSTEM = [3, 3, 6, 12, 6] !< # of slip systems per family for hex
integer, dimension(*), parameter :: & integer, dimension(*), parameter :: &
HEX_NTWINSYSTEM = [6, 6, 6, 6] !< # of slip systems per family for hex HP_NSLIPSYSTEM = [3, 3, 6, 12, 6] !< # of slip systems per family for hP
integer, dimension(*), parameter :: &
HP_NTWINSYSTEM = [6, 6, 6, 6] !< # of slip systems per family for hP
integer, parameter :: & integer, parameter :: &
HEX_NSLIP = sum(HEX_NSLIPSYSTEM), & !< total # of slip systems for hex HP_NSLIP = sum(HP_NSLIPSYSTEM), & !< total # of slip systems for hP
HEX_NTWIN = sum(HEX_NTWINSYSTEM) !< total # of twin systems for hex HP_NTWIN = sum(HP_NTWINSYSTEM) !< total # of twin systems for hP
real(pReal), dimension(4+4,HEX_NSLIP), parameter :: & real(pReal), dimension(4+4,HP_NSLIP), parameter :: &
HEX_SYSTEMSLIP = reshape(real([& HP_SYSTEMSLIP = reshape(real([&
! <-1-1.0>{00.1}/basal systems (independent of c/a-ratio) ! <-1-1.0>{00.1}/basal systems (independent of c/a-ratio)
2, -1, -1, 0, 0, 0, 0, 1, & 2, -1, -1, 0, 0, 0, 0, 1, &
-1, 2, -1, 0, 0, 0, 0, 1, & -1, 2, -1, 0, 0, 0, 0, 1, &
@ -246,10 +249,10 @@ module lattice
1, 1, -2, 3, -1, -1, 2, 2, & 1, 1, -2, 3, -1, -1, 2, 2, &
-1, 2, -1, 3, 1, -2, 1, 2, & -1, 2, -1, 3, 1, -2, 1, 2, &
-2, 1, 1, 3, 2, -1, -1, 2 & -2, 1, 1, 3, 2, -1, -1, 2 &
],pReal),shape(HEX_SYSTEMSLIP)) !< hex slip systems, sorted by P. Eisenlohr CCW around <c> starting next to a_1 axis ],pReal),shape(HP_SYSTEMSLIP)) !< hP slip systems, sorted by P. Eisenlohr CCW around <c> starting next to a_1 axis
real(pReal), dimension(4+4,HEX_NTWIN), parameter :: & real(pReal), dimension(4+4,HP_NTWIN), parameter :: &
HEX_SYSTEMTWIN = reshape(real([& HP_SYSTEMTWIN = reshape(real([&
! <-10.1>{10.2} systems, shear = (3-(c/a)^2)/(sqrt(3) c/a) ! <-10.1>{10.2} systems, shear = (3-(c/a)^2)/(sqrt(3) c/a)
! tension in Co, Mg, Zr, Ti, and Be; compression in Cd and Zn ! tension in Co, Mg, Zr, Ti, and Be; compression in Cd and Zn
-1, 0, 1, 1, 1, 0, -1, 2, & ! -1, 0, 1, 1, 1, 0, -1, 2, & !
@ -282,18 +285,19 @@ module lattice
-1, -1, 2, -3, -1, -1, 2, 2, & -1, -1, 2, -3, -1, -1, 2, 2, &
1, -2, 1, -3, 1, -2, 1, 2, & 1, -2, 1, -3, 1, -2, 1, 2, &
2, -1, -1, -3, 2, -1, -1, 2 & 2, -1, -1, -3, 2, -1, -1, 2 &
],pReal),shape(HEX_SYSTEMTWIN)) !< hex twin systems, sorted by P. Eisenlohr CCW around <c> starting next to a_1 axis ],pReal),shape(HP_SYSTEMTWIN)) !< hP twin systems, sorted by P. Eisenlohr CCW around <c> starting next to a_1 axis
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! body centered tetragonal (tI) ! tI: body centered tetragonal (bct)
integer, dimension(*), parameter :: & integer, dimension(*), parameter :: &
BCT_NSLIPSYSTEM = [2, 2, 2, 4, 2, 4, 2, 2, 4, 8, 4, 8, 8 ] !< # of slip systems per family for bct TI_NSLIPSYSTEM = [2, 2, 2, 4, 2, 4, 2, 2, 4, 8, 4, 8, 8 ] !< # of slip systems per family for tI
integer, parameter :: & integer, parameter :: &
BCT_NSLIP = sum(BCT_NSLIPSYSTEM) !< total # of slip systems for bct TI_NSLIP = sum(TI_NSLIPSYSTEM) !< total # of slip systems for tI
real(pReal), dimension(3+3,BCT_NSLIP), parameter :: & real(pReal), dimension(3+3,TI_NSLIP), parameter :: &
BCT_SYSTEMSLIP = reshape(real([& TI_SYSTEMSLIP = reshape(real([&
! {100)<001] systems ! {100)<001] systems
0, 0, 1, 1, 0, 0, & 0, 0, 1, 1, 0, 0, &
0, 0, 1, 0, 1, 0, & 0, 0, 1, 0, 1, 0, &
@ -359,7 +363,7 @@ module lattice
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 &
],pReal),shape(BCT_SYSTEMSLIP)) !< bct slip systems for c/a = 0.5456 (Sn), sorted by Bieler 2009 (https://doi.org/10.1007/s11664-009-0909-x) ],pReal),shape(TI_SYSTEMSLIP)) !< tI slip systems for c/a = 0.5456 (Sn), sorted by Bieler 2009 (https://doi.org/10.1007/s11664-009-0909-x)
interface lattice_forestProjection_edge interface lattice_forestProjection_edge
@ -428,8 +432,8 @@ function lattice_characteristicShear_Twin(Ntwin,lattice,CoverA) result(character
f, & !< index of my family f, & !< index of my family
s !< index of my system in current family s !< index of my system in current family
integer, dimension(HEX_NTWIN), parameter :: & integer, dimension(HP_NTWIN), parameter :: &
HEX_SHEARTWIN = reshape( [& HP_SHEARTWIN = reshape( [&
1, & ! <-10.1>{10.2} 1, & ! <-10.1>{10.2}
1, & 1, &
1, & 1, &
@ -454,7 +458,7 @@ function lattice_characteristicShear_Twin(Ntwin,lattice,CoverA) result(character
4, & 4, &
4, & 4, &
4 & 4 &
],[HEX_NTWIN]) ! indicator to formulas below ],[HP_NTWIN]) !< indicator to formulas below
a = 0 a = 0
myFamilies: do f = 1,size(Ntwin,1) myFamilies: do f = 1,size(Ntwin,1)
@ -466,8 +470,8 @@ function lattice_characteristicShear_Twin(Ntwin,lattice,CoverA) result(character
case('hP') case('hP')
if (cOverA < 1.0_pReal .or. cOverA > 2.0_pReal) & if (cOverA < 1.0_pReal .or. cOverA > 2.0_pReal) &
call IO_error(131,ext_msg='lattice_characteristicShear_Twin') call IO_error(131,ext_msg='lattice_characteristicShear_Twin')
p = sum(HEX_NTWINSYSTEM(1:f-1))+s p = sum(HP_NTWINSYSTEM(1:f-1))+s
select case(HEX_SHEARTWIN(p)) ! from Christian & Mahajan 1995 p.29 select case(HP_SHEARTWIN(p)) ! from Christian & Mahajan 1995 p.29
case (1) ! <-10.1>{10.2} case (1) ! <-10.1>{10.2}
characteristicShear(a) = (3.0_pReal-cOverA**2)/sqrt(3.0_pReal)/CoverA characteristicShear(a) = (3.0_pReal-cOverA**2)/sqrt(3.0_pReal)/CoverA
case (2) ! <11.6>{-1-1.1} case (2) ! <11.6>{-1-1.1}
@ -504,13 +508,13 @@ function lattice_C66_twin(Ntwin,C66,lattice,CoverA)
select case(lattice) select case(lattice)
case('cF') case('cF')
coordinateSystem = buildCoordinateSystem(Ntwin,FCC_NSLIPSYSTEM,FCC_SYSTEMTWIN,& coordinateSystem = buildCoordinateSystem(Ntwin,CF_NSLIPSYSTEM,CF_SYSTEMTWIN,&
lattice,0.0_pReal) lattice,0.0_pReal)
case('cI') case('cI')
coordinateSystem = buildCoordinateSystem(Ntwin,BCC_NSLIPSYSTEM,BCC_SYSTEMTWIN,& coordinateSystem = buildCoordinateSystem(Ntwin,CI_NSLIPSYSTEM,CI_SYSTEMTWIN,&
lattice,0.0_pReal) lattice,0.0_pReal)
case('hP') case('hP')
coordinateSystem = buildCoordinateSystem(Ntwin,HEX_NSLIPSYSTEM,HEX_SYSTEMTWIN,& coordinateSystem = buildCoordinateSystem(Ntwin,HP_NSLIPSYSTEM,HP_SYSTEMTWIN,&
lattice,cOverA) lattice,cOverA)
case default case default
call IO_error(137,ext_msg='lattice_C66_twin: '//trim(lattice)) call IO_error(137,ext_msg='lattice_C66_twin: '//trim(lattice))
@ -528,12 +532,12 @@ end function lattice_C66_twin
!> @brief Rotated elasticity matrices for transformation in 6x6-matrix notation !> @brief Rotated elasticity matrices for transformation in 6x6-matrix notation
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
function lattice_C66_trans(Ntrans,C_parent66,lattice_target, & function lattice_C66_trans(Ntrans,C_parent66,lattice_target, &
cOverA_trans,a_fcc,a_bcc) cOverA_trans,a_cF,a_cI)
integer, dimension(:), intent(in) :: Ntrans !< number of active twin systems per family integer, dimension(:), intent(in) :: Ntrans !< number of active twin systems per family
character(len=2), intent(in) :: lattice_target !< Bravais lattice (Pearson symbol) character(len=2), intent(in) :: lattice_target !< Bravais lattice (Pearson symbol)
real(pReal), dimension(6,6), intent(in) :: C_parent66 real(pReal), dimension(6,6), intent(in) :: C_parent66
real(pReal), optional, intent(in) :: cOverA_trans, a_fcc, a_bcc real(pReal), optional, intent(in) :: cOverA_trans, a_cF, a_cI
real(pReal), dimension(6,6,sum(Ntrans)) :: lattice_C66_trans real(pReal), dimension(6,6,sum(Ntrans)) :: lattice_C66_trans
real(pReal), dimension(6,6) :: C_bar66, C_target_unrotated66 real(pReal), dimension(6,6) :: C_bar66, C_target_unrotated66
@ -562,8 +566,8 @@ function lattice_C66_trans(Ntrans,C_parent66,lattice_target, &
C_target_unrotated66(3,3) = C_bar66(3,3) C_target_unrotated66(3,3) = C_bar66(3,3)
C_target_unrotated66(4,4) = C_bar66(4,4) - C_bar66(1,4)**2/(0.5_pReal*(C_bar66(1,1) - C_bar66(1,2))) C_target_unrotated66(4,4) = C_bar66(4,4) - C_bar66(1,4)**2/(0.5_pReal*(C_bar66(1,1) - C_bar66(1,2)))
C_target_unrotated66 = lattice_symmetrize_C66(C_target_unrotated66,'hP') C_target_unrotated66 = lattice_symmetrize_C66(C_target_unrotated66,'hP')
elseif (lattice_target == 'cI' .and. present(a_fcc) .and. present(a_bcc)) then elseif (lattice_target == 'cI' .and. present(a_cF) .and. present(a_cI)) then
if (a_bcc <= 0.0_pReal .or. a_fcc <= 0.0_pReal) & if (a_cI <= 0.0_pReal .or. a_cF <= 0.0_pReal) &
call IO_error(134,ext_msg='lattice_C66_trans: '//trim(lattice_target)) call IO_error(134,ext_msg='lattice_C66_trans: '//trim(lattice_target))
C_target_unrotated66 = C_parent66 C_target_unrotated66 = C_parent66
else else
@ -575,7 +579,7 @@ function lattice_C66_trans(Ntrans,C_parent66,lattice_target, &
call IO_error(135,el=i,ext_msg='matrix diagonal "el"ement in transformation') call IO_error(135,el=i,ext_msg='matrix diagonal "el"ement in transformation')
enddo enddo
call buildTransformationSystem(Q,S,Ntrans,cOverA_trans,a_fcc,a_bcc) call buildTransformationSystem(Q,S,Ntrans,cOverA_trans,a_cF,a_cI)
do i = 1,sum(Ntrans) do i = 1,sum(Ntrans)
call R%fromMatrix(Q(1:3,1:3,i)) call R%fromMatrix(Q(1:3,1:3,i))
@ -586,7 +590,7 @@ function lattice_C66_trans(Ntrans,C_parent66,lattice_target, &
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief Non-schmid projections for bcc with up to 6 coefficients !> @brief Non-schmid projections for cI with up to 6 coefficients
! https://doi.org/10.1016/j.actamat.2012.03.053, eq. (17) ! https://doi.org/10.1016/j.actamat.2012.03.053, eq. (17)
! https://doi.org/10.1016/j.actamat.2008.07.037, table 1 ! https://doi.org/10.1016/j.actamat.2008.07.037, table 1
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
@ -605,7 +609,7 @@ function lattice_nonSchmidMatrix(Nslip,nonSchmidCoefficients,sense) result(nonSc
if (abs(sense) /= 1) error stop 'Sense in lattice_nonSchmidMatrix' if (abs(sense) /= 1) error stop 'Sense in lattice_nonSchmidMatrix'
coordinateSystem = buildCoordinateSystem(Nslip,BCC_NSLIPSYSTEM,BCC_SYSTEMSLIP,'cI',0.0_pReal) coordinateSystem = buildCoordinateSystem(Nslip,CI_NSLIPSYSTEM,CI_SYSTEMSLIP,'cI',0.0_pReal)
coordinateSystem(1:3,1,1:sum(Nslip)) = coordinateSystem(1:3,1,1:sum(Nslip))*real(sense,pReal) ! convert unidirectional coordinate system 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,'cI',0.0_pReal) ! Schmid contribution nonSchmidMatrix = lattice_SchmidMatrix_slip(Nslip,'cI',0.0_pReal) ! Schmid contribution
@ -636,8 +640,8 @@ end function lattice_nonSchmidMatrix
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief Slip-slip interaction matrix !> @brief Slip-slip interaction matrix
!> @details only active slip systems are considered !> @details only active slip systems are considered
!> @details https://doi.org/10.1016/j.actamat.2016.12.040 (fcc: Tab S4-1, bcc: Tab S5-1) !> @details https://doi.org/10.1016/j.actamat.2016.12.040 (cF: Tab S4-1, cI: Tab S5-1)
!> @details https://doi.org/10.1016/j.ijplas.2014.06.010 (hex: Tab 3b) !> @details https://doi.org/10.1016/j.ijplas.2014.06.010 (hP: Tab 3b)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
function lattice_interaction_SlipBySlip(Nslip,interactionValues,lattice) result(interactionMatrix) function lattice_interaction_SlipBySlip(Nslip,interactionValues,lattice) result(interactionMatrix)
@ -650,8 +654,8 @@ function lattice_interaction_SlipBySlip(Nslip,interactionValues,lattice) result(
integer, dimension(:,:), allocatable :: interactionTypes integer, dimension(:,:), allocatable :: interactionTypes
integer, dimension(FCC_NSLIP,FCC_NSLIP), parameter :: & integer, dimension(CF_NSLIP,CF_NSLIP), parameter :: &
FCC_INTERACTIONSLIPSLIP = reshape( [& CF_INTERACTIONSLIPSLIP = reshape( [&
1, 2, 2, 4, 7, 5, 3, 5, 5, 4, 6, 7, 10,11,10,11,12,13, & ! -----> acting (forest) 1, 2, 2, 4, 7, 5, 3, 5, 5, 4, 6, 7, 10,11,10,11,12,13, & ! -----> acting (forest)
2, 1, 2, 7, 4, 5, 6, 4, 7, 5, 3, 5, 10,11,12,13,10,11, & ! | 2, 1, 2, 7, 4, 5, 6, 4, 7, 5, 3, 5, 10,11,12,13,10,11, & ! |
2, 2, 1, 5, 5, 3, 6, 7, 4, 7, 6, 4, 12,13,10,11,10,11, & ! | 2, 2, 1, 5, 5, 3, 6, 7, 4, 7, 6, 4, 12,13,10,11,10,11, & ! |
@ -671,7 +675,7 @@ function lattice_interaction_SlipBySlip(Nslip,interactionValues,lattice) result(
11,13,11,10,12,10,10,12,10,11,13,11, 9, 9, 8, 1, 9, 9, & 11,13,11,10,12,10,10,12,10,11,13,11, 9, 9, 8, 1, 9, 9, &
12,10,10,13,11,11,12,10,10,13,11,11, 9, 9, 9, 9, 1, 8, & 12,10,10,13,11,11,12,10,10,13,11,11, 9, 9, 9, 9, 1, 8, &
13,11,11,12,10,10,13,11,11,12,10,10, 9, 9, 9, 9, 8, 1 & 13,11,11,12,10,10,13,11,11,12,10,10, 9, 9, 9, 9, 8, 1 &
],shape(FCC_INTERACTIONSLIPSLIP)) !< Slip-slip interaction types for fcc / Madec 2017 (https://doi.org/10.1016/j.actamat.2016.12.040) ],shape(CF_INTERACTIONSLIPSLIP)) !< Slip-slip interaction types for cF / Madec 2017 (https://doi.org/10.1016/j.actamat.2016.12.040)
!< 1: self interaction --> alpha 0 !< 1: self interaction --> alpha 0
!< 2: coplanar interaction --> alpha copla !< 2: coplanar interaction --> alpha copla
!< 3: collinear interaction --> alpha coli !< 3: collinear interaction --> alpha coli
@ -686,8 +690,8 @@ function lattice_interaction_SlipBySlip(Nslip,interactionValues,lattice) result(
!<12: crossing btw one {110} and one {111} plane !<12: crossing btw one {110} and one {111} plane
!<13: collinear btw one {110} and one {111} plane !<13: collinear btw one {110} and one {111} plane
integer, dimension(BCC_NSLIP,BCC_NSLIP), parameter :: & integer, dimension(CI_NSLIP,CI_NSLIP), parameter :: &
BCC_INTERACTIONSLIPSLIP = reshape( [& CI_INTERACTIONSLIPSLIP = reshape( [&
1, 3, 6, 6, 7, 5, 4, 2, 4, 2, 7, 5, 18,18,11, 8, 9,13,17,14,13, 9,17,14, 28,25,28,28,25,28,28,28,28,25,28,28,25,28,28,28,28,28,28,25,28,28,28,25, &! -----> acting (forest) 1, 3, 6, 6, 7, 5, 4, 2, 4, 2, 7, 5, 18,18,11, 8, 9,13,17,14,13, 9,17,14, 28,25,28,28,25,28,28,28,28,25,28,28,25,28,28,28,28,28,28,25,28,28,28,25, &! -----> acting (forest)
3, 1, 6, 6, 4, 2, 7, 5, 7, 5, 4, 2, 18,18, 8,11,13, 9,14,17, 9,13,14,17, 25,28,28,28,28,25,28,28,25,28,28,28,28,25,28,28,28,28,25,28,28,28,25,28, &! | 3, 1, 6, 6, 4, 2, 7, 5, 7, 5, 4, 2, 18,18, 8,11,13, 9,14,17, 9,13,14,17, 25,28,28,28,28,25,28,28,25,28,28,28,28,25,28,28,28,28,25,28,28,28,25,28, &! |
6, 6, 1, 3, 5, 7, 2, 4, 5, 7, 2, 4, 11, 8,18,18,17,14, 9,13,17,14,13, 9, 28,28,28,25,28,28,25,28,28,28,28,25,28,28,25,28,28,25,28,28,28,25,28,28, &! | 6, 6, 1, 3, 5, 7, 2, 4, 5, 7, 2, 4, 11, 8,18,18,17,14, 9,13,17,14,13, 9, 28,28,28,25,28,28,25,28,28,28,28,25,28,28,25,28,28,25,28,28,28,25,28,28, &! |
@ -738,7 +742,7 @@ function lattice_interaction_SlipBySlip(Nslip,interactionValues,lattice) result(
28,28,25,28,28,28,25,28,28,28,25,28, 28,26,28,28,28,28,26,28,28,28,28,26, 28,28,28,27,28,28,27,28,28,28,28,27,28,28,27,28,28,27,28,28,28, 1,28,28, & 28,28,25,28,28,28,25,28,28,28,25,28, 28,26,28,28,28,28,26,28,28,28,28,26, 28,28,28,27,28,28,27,28,28,28,28,27,28,28,27,28,28,27,28,28,28, 1,28,28, &
28,25,28,28,28,25,28,28,28,28,28,25, 28,28,26,28,28,26,28,28,26,28,28,28, 27,28,28,28,28,27,28,28,27,28,28,28,28,27,28,28,28,28,27,28,28,28, 1,28, & 28,25,28,28,28,25,28,28,28,28,28,25, 28,28,26,28,28,26,28,28,26,28,28,28, 27,28,28,28,28,27,28,28,27,28,28,28,28,27,28,28,28,28,27,28,28,28, 1,28, &
25,28,28,28,28,28,28,25,28,25,28,28, 28,28,28,26,26,28,28,28,28,26,28,28, 28,27,28,28,27,28,28,28,28,27,28,28,27,28,28,28,28,28,28,27,28,28,28, 1 & 25,28,28,28,28,28,28,25,28,25,28,28, 28,28,28,26,26,28,28,28,28,26,28,28, 28,27,28,28,27,28,28,28,28,27,28,28,27,28,28,28,28,28,28,27,28,28,28, 1 &
],shape(BCC_INTERACTIONSLIPSLIP)) !< Slip-slip interaction types for bcc / Madec 2017 (https://doi.org/10.1016/j.actamat.2016.12.040) ],shape(CI_INTERACTIONSLIPSLIP)) !< Slip-slip interaction types for cI / Madec 2017 (https://doi.org/10.1016/j.actamat.2016.12.040)
!< 1: self interaction --> alpha 0 !< 1: self interaction --> alpha 0
!< 2: collinear interaction --> alpha 1 !< 2: collinear interaction --> alpha 1
!< 3: coplanar interaction --> alpha 2 !< 3: coplanar interaction --> alpha 2
@ -751,8 +755,8 @@ function lattice_interaction_SlipBySlip(Nslip,interactionValues,lattice) result(
!< 27: {123}-{123} collinear !< 27: {123}-{123} collinear
!< 28: other interaction !< 28: other interaction
integer, dimension(HEX_NSLIP,HEX_NSLIP), parameter :: & integer, dimension(HP_NSLIP,HP_NSLIP), parameter :: &
HEX_INTERACTIONSLIPSLIP = reshape( [& HP_INTERACTIONSLIPSLIP = reshape( [&
! basal prism 1. pyr<a> 1. pyr<c+a> 2. pyr<c+a> ! basal prism 1. pyr<a> 1. pyr<c+a> 2. pyr<c+a>
1, 2, 2, 3, 4, 4, 9,10, 9, 9,10, 9, 20,21,22,22,21,20,20,21,22,22,21,20, 47,47,48,47,47,48, & ! -----> acting (forest) 1, 2, 2, 3, 4, 4, 9,10, 9, 9,10, 9, 20,21,22,22,21,20,20,21,22,22,21,20, 47,47,48,47,47,48, & ! -----> acting (forest)
2, 1, 2, 4, 3, 4, 10, 9, 9,10, 9, 9, 22,22,21,20,20,21,22,22,21,20,20,21, 47,48,47,47,48,47, & ! | basal 2, 1, 2, 4, 3, 4, 10, 9, 9,10, 9, 9, 22,22,21,20,20,21,22,22,21,20,20,21, 47,48,47,47,48,47, & ! | basal
@ -788,7 +792,7 @@ function lattice_interaction_SlipBySlip(Nslip,interactionValues,lattice) result(
68,68,69, 66,66,67, 64,64,65,64,64,65, 60,63,63,60,62,62,60,61,61,60,62,62, 59,58,58,57,58,58, & ! 2. pyr<c+a> 68,68,69, 66,66,67, 64,64,65,64,64,65, 60,63,63,60,62,62,60,61,61,60,62,62, 59,58,58,57,58,58, & ! 2. pyr<c+a>
68,69,68, 66,67,66, 65,64,64,65,64,64, 62,62,60,63,63,60,62,62,60,61,61,60, 58,59,58,58,57,58, & 68,69,68, 66,67,66, 65,64,64,65,64,64, 62,62,60,63,63,60,62,62,60,61,61,60, 58,59,58,58,57,58, &
69,68,68, 67,66,66, 64,65,64,64,65,64, 61,60,62,62,60,63,63,60,62,62,60,61, 58,58,59,58,58,57 & 69,68,68, 67,66,66, 64,65,64,64,65,64, 61,60,62,62,60,63,63,60,62,62,60,61, 58,58,59,58,58,57 &
],shape(HEX_INTERACTIONSLIPSLIP)) !< Slip-slip interaction types for hex (onion peel naming scheme) ],shape(HP_INTERACTIONSLIPSLIP)) !< Slip-slip interaction types for hP (onion peel naming scheme)
!< 10.1016/j.ijplas.2014.06.010 table 3 !< 10.1016/j.ijplas.2014.06.010 table 3
!< 10.1080/14786435.2012.699689 table 2 and 3 !< 10.1080/14786435.2012.699689 table 2 and 3
!< index & label & description !< index & label & description
@ -862,8 +866,8 @@ function lattice_interaction_SlipBySlip(Nslip,interactionValues,lattice) result(
!< 68 & 12 & 2. order pyramidal <c+a>/basal non-collinear !< 68 & 12 & 2. order pyramidal <c+a>/basal non-collinear
!< 69 & 11 & 2. order pyramidal <c+a>/basal semi-collinear !< 69 & 11 & 2. order pyramidal <c+a>/basal semi-collinear
integer, dimension(BCT_NSLIP,BCT_NSLIP), parameter :: & integer, dimension(TI_NSLIP,TI_NSLIP), parameter :: &
BCT_INTERACTIONSLIPSLIP = reshape( [& TI_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 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, & ! | 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, & ! |
! | ! |
@ -928,22 +932,22 @@ function lattice_interaction_SlipBySlip(Nslip,interactionValues,lattice) result(
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, 169,170,170,170,170,169,170,170, &
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, 169,170,170,170,170,170,169,170, &
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 & 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)) ],shape(TI_INTERACTIONSLIPSLIP))
select case(lattice) select case(lattice)
case('cF') case('cF')
interactionTypes = FCC_INTERACTIONSLIPSLIP interactionTypes = CF_INTERACTIONSLIPSLIP
NslipMax = FCC_NSLIPSYSTEM NslipMax = CF_NSLIPSYSTEM
case('cI') case('cI')
interactionTypes = BCC_INTERACTIONSLIPSLIP interactionTypes = CI_INTERACTIONSLIPSLIP
NslipMax = BCC_NSLIPSYSTEM NslipMax = CI_NSLIPSYSTEM
case('hP') case('hP')
interactionTypes = HEX_INTERACTIONSLIPSLIP interactionTypes = HP_INTERACTIONSLIPSLIP
NslipMax = HEX_NSLIPSYSTEM NslipMax = HP_NSLIPSYSTEM
case('tI') case('tI')
interactionTypes = BCT_INTERACTIONSLIPSLIP interactionTypes = TI_INTERACTIONSLIPSLIP
NslipMax = BCT_NSLIPSYSTEM NslipMax = TI_NSLIPSYSTEM
case default case default
call IO_error(137,ext_msg='lattice_interaction_SlipBySlip: '//trim(lattice)) call IO_error(137,ext_msg='lattice_interaction_SlipBySlip: '//trim(lattice))
end select end select
@ -967,8 +971,8 @@ function lattice_interaction_TwinByTwin(Ntwin,interactionValues,lattice) result(
integer, dimension(:), allocatable :: NtwinMax integer, dimension(:), allocatable :: NtwinMax
integer, dimension(:,:), allocatable :: interactionTypes integer, dimension(:,:), allocatable :: interactionTypes
integer, dimension(FCC_NTWIN,FCC_NTWIN), parameter :: & integer, dimension(CF_NTWIN,CF_NTWIN), parameter :: &
FCC_INTERACTIONTWINTWIN = reshape( [& CF_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, & ! -----> 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, & ! |
1,1,1,2,2,2,2,2,2,2,2,2, & ! | 1,1,1,2,2,2,2,2,2,2,2,2, & ! |
@ -981,10 +985,10 @@ function lattice_interaction_TwinByTwin(Ntwin,interactionValues,lattice) result(
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, & 2,2,2,2,2,2,2,2,2,1,1,1, &
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 ],shape(CF_INTERACTIONTWINTWIN)) !< Twin-twin interaction types for cF
integer, dimension(BCC_NTWIN,BCC_NTWIN), parameter :: & integer, dimension(CI_NTWIN,CI_NTWIN), parameter :: &
BCC_INTERACTIONTWINTWIN = reshape( [& CI_INTERACTIONTWINTWIN = reshape( [&
1,3,3,3,3,3,3,2,3,3,2,3, & ! -----> acting 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, & ! | 3,1,3,3,3,3,2,3,3,3,3,2, & ! |
3,3,1,3,3,2,3,3,2,3,3,3, & ! | 3,3,1,3,3,2,3,3,2,3,3,3, & ! |
@ -997,12 +1001,12 @@ function lattice_interaction_TwinByTwin(Ntwin,interactionValues,lattice) result(
3,3,3,2,2,3,3,3,3,1,3,3, & 3,3,3,2,2,3,3,3,3,1,3,3, &
2,3,3,3,3,3,3,2,3,3,1,3, & 2,3,3,3,3,3,3,2,3,3,1,3, &
3,2,3,3,3,3,2,3,3,3,3,1 & 3,2,3,3,3,3,2,3,3,3,3,1 &
],shape(BCC_INTERACTIONTWINTWIN)) !< Twin-twin interaction types for bcc ],shape(CI_INTERACTIONTWINTWIN)) !< Twin-twin interaction types for cI
!< 1: self interaction !< 1: self interaction
!< 2: collinear interaction !< 2: collinear interaction
!< 3: other interaction !< 3: other interaction
integer, dimension(HEX_NTWIN,HEX_NTWIN), parameter :: & integer, dimension(HP_NTWIN,HP_NTWIN), parameter :: &
HEX_INTERACTIONTWINTWIN = reshape( [& HP_INTERACTIONTWINTWIN = reshape( [&
! <-10.1>{10.2} <11.6>{-1-1.1} <10.-2>{10.1} <11.-3>{11.2} ! <-10.1>{10.2} <11.6>{-1-1.1} <10.-2>{10.1} <11.-3>{11.2}
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 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, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! |
@ -1031,18 +1035,18 @@ function lattice_interaction_TwinByTwin(Ntwin,interactionValues,lattice) result(
20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,17,16,17,17, & ! <11.-3>{11.2} 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,17,16,17,17, & ! <11.-3>{11.2}
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, 17,17,17,17,16,17, &
20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,17,17,17,16 & 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 ],shape(HP_INTERACTIONTWINTWIN)) !< Twin-twin interaction types for hP
select case(lattice) select case(lattice)
case('cF') case('cF')
interactionTypes = FCC_INTERACTIONTWINTWIN interactionTypes = CF_INTERACTIONTWINTWIN
NtwinMax = FCC_NTWINSYSTEM NtwinMax = CF_NTWINSYSTEM
case('cI') case('cI')
interactionTypes = BCC_INTERACTIONTWINTWIN interactionTypes = CI_INTERACTIONTWINTWIN
NtwinMax = BCC_NTWINSYSTEM NtwinMax = CI_NTWINSYSTEM
case('hP') case('hP')
interactionTypes = HEX_INTERACTIONTWINTWIN interactionTypes = HP_INTERACTIONTWINTWIN
NtwinMax = HEX_NTWINSYSTEM NtwinMax = HP_NTWINSYSTEM
case default case default
call IO_error(137,ext_msg='lattice_interaction_TwinByTwin: '//trim(lattice)) call IO_error(137,ext_msg='lattice_interaction_TwinByTwin: '//trim(lattice))
end select end select
@ -1066,8 +1070,8 @@ function lattice_interaction_TransByTrans(Ntrans,interactionValues,lattice) resu
integer, dimension(:), allocatable :: NtransMax integer, dimension(:), allocatable :: NtransMax
integer, dimension(:,:), allocatable :: interactionTypes integer, dimension(:,:), allocatable :: interactionTypes
integer, dimension(FCC_NTRANS,FCC_NTRANS), parameter :: & integer, dimension(CF_NTRANS,CF_NTRANS), parameter :: &
FCC_INTERACTIONTRANSTRANS = reshape( [& CF_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, & ! -----> 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, & ! |
1,1,1,2,2,2,2,2,2,2,2,2, & ! | 1,1,1,2,2,2,2,2,2,2,2,2, & ! |
@ -1080,11 +1084,11 @@ function lattice_interaction_TransByTrans(Ntrans,interactionValues,lattice) resu
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, & 2,2,2,2,2,2,2,2,2,1,1,1, &
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 ],shape(CF_INTERACTIONTRANSTRANS)) !< Trans-trans interaction types for cF
if (lattice == 'cF') then if (lattice == 'cF') then
interactionTypes = FCC_INTERACTIONTRANSTRANS interactionTypes = CF_INTERACTIONTRANSTRANS
NtransMax = FCC_NTRANSSYSTEM NtransMax = CF_NTRANSSYSTEM
else else
call IO_error(137,ext_msg='lattice_interaction_TransByTrans: '//trim(lattice)) call IO_error(137,ext_msg='lattice_interaction_TransByTrans: '//trim(lattice))
end if end if
@ -1110,8 +1114,8 @@ function lattice_interaction_SlipByTwin(Nslip,Ntwin,interactionValues,lattice) r
NtwinMax NtwinMax
integer, dimension(:,:), allocatable :: interactionTypes integer, dimension(:,:), allocatable :: interactionTypes
integer, dimension(FCC_NTWIN,FCC_NSLIP), parameter :: & integer, dimension(CF_NTWIN,CF_NSLIP), parameter :: &
FCC_INTERACTIONSLIPTWIN = reshape( [& CF_INTERACTIONSLIPTWIN = reshape( [&
1,1,1,3,3,3,2,2,2,3,3,3, & ! -----> twin (acting) 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, & ! | 1,1,1,3,3,3,3,3,3,2,2,2, & ! |
1,1,1,2,2,2,3,3,3,3,3,3, & ! | 1,1,1,2,2,2,3,3,3,3,3,3, & ! |
@ -1131,12 +1135,12 @@ function lattice_interaction_SlipByTwin(Nslip,Ntwin,interactionValues,lattice) r
4,4,4,4,4,4,4,4,4,4,4,4, & 4,4,4,4,4,4,4,4,4,4,4,4, &
4,4,4,4,4,4,4,4,4,4,4,4, & 4,4,4,4,4,4,4,4,4,4,4,4, &
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 ],shape(CF_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for cF
!< 1: coplanar interaction !< 1: coplanar interaction
!< 2: screw trace between slip system and twin habit plane (easy cross slip) !< 2: screw trace between slip system and twin habit plane (easy cross slip)
!< 3: other interaction !< 3: other interaction
integer, dimension(BCC_NTWIN,BCC_NSLIP), parameter :: & integer, dimension(CI_NTWIN,CI_NSLIP), parameter :: &
BCC_INTERACTIONSLIPTWIN = reshape( [& CI_INTERACTIONSLIPTWIN = reshape( [&
3,3,3,2,2,3,3,3,3,2,3,3, & ! -----> twin (acting) 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, & ! | 3,3,2,3,3,2,3,3,2,3,3,3, & ! |
3,2,3,3,3,3,2,3,3,3,3,2, & ! | 3,2,3,3,3,3,2,3,3,3,3,2, & ! |
@ -1187,14 +1191,14 @@ function lattice_interaction_SlipByTwin(Nslip,Ntwin,interactionValues,lattice) r
4,4,4,4,4,4,4,4,4,4,4,4, & 4,4,4,4,4,4,4,4,4,4,4,4, &
4,4,4,4,4,4,4,4,4,4,4,4, & 4,4,4,4,4,4,4,4,4,4,4,4, &
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(BCC_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for bcc ],shape(CI_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for cI
!< 1: coplanar interaction !< 1: coplanar interaction
!< 2: screw trace between slip system and twin habit plane (easy cross slip) !< 2: screw trace between slip system and twin habit plane (easy cross slip)
!< 3: other interaction !< 3: other interaction
!< 4: other interaction with slip family {123} !< 4: other interaction with slip family {123}
integer, dimension(HEX_NTWIN,HEX_NSLIP), parameter :: & integer, dimension(HP_NTWIN,HP_NSLIP), parameter :: &
HEX_INTERACTIONSLIPTWIN = reshape( [& HP_INTERACTIONSLIPTWIN = reshape( [&
! <-10.1>{10.2} <11.6>{-1-1.1} <10.-2>{10.1} <11.-3>{11.2} ! <-10.1>{10.2} <11.6>{-1-1.1} <10.-2>{10.1} <11.-3>{11.2}
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, & ! ----> 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, & ! | basal 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! | basal
@ -1230,21 +1234,21 @@ function lattice_interaction_SlipByTwin(Nslip,Ntwin,interactionValues,lattice) r
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & ! 2. pyr<c+a> 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & ! 2. pyr<c+a>
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 &
],shape(HEX_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for hex ],shape(HP_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for hP
select case(lattice) select case(lattice)
case('cF') case('cF')
interactionTypes = FCC_INTERACTIONSLIPTWIN interactionTypes = CF_INTERACTIONSLIPTWIN
NslipMax = FCC_NSLIPSYSTEM NslipMax = CF_NSLIPSYSTEM
NtwinMax = FCC_NTWINSYSTEM NtwinMax = CF_NTWINSYSTEM
case('cI') case('cI')
interactionTypes = BCC_INTERACTIONSLIPTWIN interactionTypes = CI_INTERACTIONSLIPTWIN
NslipMax = BCC_NSLIPSYSTEM NslipMax = CI_NSLIPSYSTEM
NtwinMax = BCC_NTWINSYSTEM NtwinMax = CI_NTWINSYSTEM
case('hP') case('hP')
interactionTypes = HEX_INTERACTIONSLIPTWIN interactionTypes = HP_INTERACTIONSLIPTWIN
NslipMax = HEX_NSLIPSYSTEM NslipMax = HP_NSLIPSYSTEM
NtwinMax = HEX_NTWINSYSTEM NtwinMax = HP_NTWINSYSTEM
case default case default
call IO_error(137,ext_msg='lattice_interaction_SlipByTwin: '//trim(lattice)) call IO_error(137,ext_msg='lattice_interaction_SlipByTwin: '//trim(lattice))
end select end select
@ -1270,8 +1274,8 @@ function lattice_interaction_SlipByTrans(Nslip,Ntrans,interactionValues,lattice)
NtransMax NtransMax
integer, dimension(:,:), allocatable :: interactionTypes integer, dimension(:,:), allocatable :: interactionTypes
integer, dimension(FCC_NTRANS,FCC_NSLIP), parameter :: & integer, dimension(CF_NTRANS,CF_NSLIP), parameter :: &
FCC_INTERACTIONSLIPTRANS = reshape( [& CF_INTERACTIONSLIPTRANS = reshape( [&
1,1,1,3,3,3,2,2,2,3,3,3, & ! -----> trans (acting) 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, & ! | 1,1,1,3,3,3,3,3,3,2,2,2, & ! |
1,1,1,2,2,2,3,3,3,3,3,3, & ! | 1,1,1,2,2,2,3,3,3,3,3,3, & ! |
@ -1291,13 +1295,13 @@ function lattice_interaction_SlipByTrans(Nslip,Ntrans,interactionValues,lattice)
4,4,4,4,4,4,4,4,4,4,4,4, & 4,4,4,4,4,4,4,4,4,4,4,4, &
4,4,4,4,4,4,4,4,4,4,4,4, & 4,4,4,4,4,4,4,4,4,4,4,4, &
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 ],shape(CF_INTERACTIONSLIPTRANS)) !< Slip-trans interaction types for cF
select case(lattice) select case(lattice)
case('cF') case('cF')
interactionTypes = FCC_INTERACTIONSLIPTRANS interactionTypes = CF_INTERACTIONSLIPTRANS
NslipMax = FCC_NSLIPSYSTEM NslipMax = CF_NSLIPSYSTEM
NtransMax = FCC_NTRANSSYSTEM NtransMax = CF_NTRANSSYSTEM
case default case default
call IO_error(137,ext_msg='lattice_interaction_SlipByTrans: '//trim(lattice)) call IO_error(137,ext_msg='lattice_interaction_SlipByTrans: '//trim(lattice))
end select end select
@ -1323,14 +1327,14 @@ function lattice_interaction_TwinBySlip(Ntwin,Nslip,interactionValues,lattice) r
NslipMax NslipMax
integer, dimension(:,:), allocatable :: interactionTypes integer, dimension(:,:), allocatable :: interactionTypes
integer, dimension(FCC_NSLIP,FCC_NTWIN), parameter :: & integer, dimension(CF_NSLIP,CF_NTWIN), parameter :: &
FCC_INTERACTIONTWINSLIP = 1 !< Twin-slip interaction types for fcc CF_INTERACTIONTWINSLIP = 1 !< Twin-slip interaction types for cF
integer, dimension(BCC_NSLIP,BCC_NTWIN), parameter :: & integer, dimension(CI_NSLIP,CI_NTWIN), parameter :: &
BCC_INTERACTIONTWINSLIP = 1 !< Twin-slip interaction types for bcc CI_INTERACTIONTWINSLIP = 1 !< Twin-slip interaction types for cI
integer, dimension(HEX_NSLIP,HEX_NTWIN), parameter :: & integer, dimension(HP_NSLIP,HP_NTWIN), parameter :: &
HEX_INTERACTIONTWINSLIP = reshape( [& HP_INTERACTIONTWINSLIP = reshape( [&
! basal prism 1. pyr<a> 1. pyr<c+a> 2. pyr<c+a> ! basal prism 1. pyr<a> 1. pyr<c+a> 2. pyr<c+a>
1, 1, 1, 5, 5, 5, 9, 9, 9, 9, 9, 9, 13,13,13,13,13,13,13,13,13,13,13,13, 17,17,17,17,17,17, & ! ----> slip (acting) 1, 1, 1, 5, 5, 5, 9, 9, 9, 9, 9, 9, 13,13,13,13,13,13,13,13,13,13,13,13, 17,17,17,17,17,17, & ! ----> slip (acting)
1, 1, 1, 5, 5, 5, 9, 9, 9, 9, 9, 9, 13,13,13,13,13,13,13,13,13,13,13,13, 17,17,17,17,17,17, & ! | 1, 1, 1, 5, 5, 5, 9, 9, 9, 9, 9, 9, 13,13,13,13,13,13,13,13,13,13,13,13, 17,17,17,17,17,17, & ! |
@ -1359,21 +1363,21 @@ function lattice_interaction_TwinBySlip(Ntwin,Nslip,interactionValues,lattice) r
4, 4, 4, 8, 8, 8, 12,12,12,12,12,12, 16,16,16,16,16,16,16,16,16,16,16,16, 20,20,20,20,20,20, & ! <11.-3>{11.2} 4, 4, 4, 8, 8, 8, 12,12,12,12,12,12, 16,16,16,16,16,16,16,16,16,16,16,16, 20,20,20,20,20,20, & ! <11.-3>{11.2}
4, 4, 4, 8, 8, 8, 12,12,12,12,12,12, 16,16,16,16,16,16,16,16,16,16,16,16, 20,20,20,20,20,20, & 4, 4, 4, 8, 8, 8, 12,12,12,12,12,12, 16,16,16,16,16,16,16,16,16,16,16,16, 20,20,20,20,20,20, &
4, 4, 4, 8, 8, 8, 12,12,12,12,12,12, 16,16,16,16,16,16,16,16,16,16,16,16, 20,20,20,20,20,20 & 4, 4, 4, 8, 8, 8, 12,12,12,12,12,12, 16,16,16,16,16,16,16,16,16,16,16,16, 20,20,20,20,20,20 &
],shape(HEX_INTERACTIONTWINSLIP)) !< Twin-slip interaction types for hex ],shape(HP_INTERACTIONTWINSLIP)) !< Twin-slip interaction types for hP
select case(lattice) select case(lattice)
case('cF') case('cF')
interactionTypes = FCC_INTERACTIONTWINSLIP interactionTypes = CF_INTERACTIONTWINSLIP
NtwinMax = FCC_NTWINSYSTEM NtwinMax = CF_NTWINSYSTEM
NslipMax = FCC_NSLIPSYSTEM NslipMax = CF_NSLIPSYSTEM
case('cI') case('cI')
interactionTypes = BCC_INTERACTIONTWINSLIP interactionTypes = CI_INTERACTIONTWINSLIP
NtwinMax = BCC_NTWINSYSTEM NtwinMax = CI_NTWINSYSTEM
NslipMax = BCC_NSLIPSYSTEM NslipMax = CI_NSLIPSYSTEM
case('hP') case('hP')
interactionTypes = HEX_INTERACTIONTWINSLIP interactionTypes = HP_INTERACTIONTWINSLIP
NtwinMax = HEX_NTWINSYSTEM NtwinMax = HP_NTWINSYSTEM
NslipMax = HEX_NSLIPSYSTEM NslipMax = HP_NSLIPSYSTEM
case default case default
call IO_error(137,ext_msg='lattice_interaction_TwinBySlip: '//trim(lattice)) call IO_error(137,ext_msg='lattice_interaction_TwinBySlip: '//trim(lattice))
end select end select
@ -1401,17 +1405,17 @@ function lattice_SchmidMatrix_slip(Nslip,lattice,cOverA) result(SchmidMatrix)
select case(lattice) select case(lattice)
case('cF') case('cF')
NslipMax = FCC_NSLIPSYSTEM NslipMax = CF_NSLIPSYSTEM
slipSystems = FCC_SYSTEMSLIP slipSystems = CF_SYSTEMSLIP
case('cI') case('cI')
NslipMax = BCC_NSLIPSYSTEM NslipMax = CI_NSLIPSYSTEM
slipSystems = BCC_SYSTEMSLIP slipSystems = CI_SYSTEMSLIP
case('hP') case('hP')
NslipMax = HEX_NSLIPSYSTEM NslipMax = HP_NSLIPSYSTEM
slipSystems = HEX_SYSTEMSLIP slipSystems = HP_SYSTEMSLIP
case('tI') case('tI')
NslipMax = BCT_NSLIPSYSTEM NslipMax = TI_NSLIPSYSTEM
slipSystems = BCT_SYSTEMSLIP slipSystems = TI_SYSTEMSLIP
case default case default
allocate(NslipMax(0)) allocate(NslipMax(0))
call IO_error(137,ext_msg='lattice_SchmidMatrix_slip: '//trim(lattice)) call IO_error(137,ext_msg='lattice_SchmidMatrix_slip: '//trim(lattice))
@ -1451,14 +1455,14 @@ function lattice_SchmidMatrix_twin(Ntwin,lattice,cOverA) result(SchmidMatrix)
select case(lattice) select case(lattice)
case('cF') case('cF')
NtwinMax = FCC_NTWINSYSTEM NtwinMax = CF_NTWINSYSTEM
twinSystems = FCC_SYSTEMTWIN twinSystems = CF_SYSTEMTWIN
case('cI') case('cI')
NtwinMax = BCC_NTWINSYSTEM NtwinMax = CI_NTWINSYSTEM
twinSystems = BCC_SYSTEMTWIN twinSystems = CI_SYSTEMTWIN
case('hP') case('hP')
NtwinMax = HEX_NTWINSYSTEM NtwinMax = HP_NTWINSYSTEM
twinSystems = HEX_SYSTEMTWIN twinSystems = HP_SYSTEMTWIN
case default case default
allocate(NtwinMax(0)) allocate(NtwinMax(0))
call IO_error(137,ext_msg='lattice_SchmidMatrix_twin: '//trim(lattice)) call IO_error(137,ext_msg='lattice_SchmidMatrix_twin: '//trim(lattice))
@ -1484,11 +1488,11 @@ end function lattice_SchmidMatrix_twin
!> @brief Schmid matrix for transformation !> @brief Schmid matrix for transformation
!> details only active twin systems are considered !> details only active twin systems are considered
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
function lattice_SchmidMatrix_trans(Ntrans,lattice_target,cOverA,a_fcc,a_bcc) result(SchmidMatrix) function lattice_SchmidMatrix_trans(Ntrans,lattice_target,cOverA,a_cF,a_cI) result(SchmidMatrix)
integer, dimension(:), intent(in) :: Ntrans !< number of active twin systems per family integer, dimension(:), intent(in) :: Ntrans !< number of active twin systems per family
character(len=2), intent(in) :: lattice_target !< Bravais lattice (Pearson symbol) character(len=2), intent(in) :: lattice_target !< Bravais lattice (Pearson symbol)
real(pReal), optional, intent(in) :: cOverA, a_bcc, a_fcc real(pReal), optional, intent(in) :: cOverA, a_cI, a_cF
real(pReal), dimension(3,3,sum(Ntrans)) :: SchmidMatrix real(pReal), dimension(3,3,sum(Ntrans)) :: SchmidMatrix
real(pReal), dimension(3,3,sum(Ntrans)) :: devNull real(pReal), dimension(3,3,sum(Ntrans)) :: devNull
@ -1498,10 +1502,10 @@ function lattice_SchmidMatrix_trans(Ntrans,lattice_target,cOverA,a_fcc,a_bcc) re
if (cOverA < 1.0_pReal .or. cOverA > 2.0_pReal) & if (cOverA < 1.0_pReal .or. cOverA > 2.0_pReal) &
call IO_error(131,ext_msg='lattice_SchmidMatrix_trans: '//trim(lattice_target)) call IO_error(131,ext_msg='lattice_SchmidMatrix_trans: '//trim(lattice_target))
call buildTransformationSystem(devNull,SchmidMatrix,Ntrans,cOverA=cOverA) call buildTransformationSystem(devNull,SchmidMatrix,Ntrans,cOverA=cOverA)
else if (lattice_target == 'cI' .and. present(a_fcc) .and. present(a_bcc)) then else if (lattice_target == 'cI' .and. present(a_cF) .and. present(a_cI)) then
if (a_bcc <= 0.0_pReal .or. a_fcc <= 0.0_pReal) & if (a_cI <= 0.0_pReal .or. a_cF <= 0.0_pReal) &
call IO_error(134,ext_msg='lattice_SchmidMatrix_trans: '//trim(lattice_target)) call IO_error(134,ext_msg='lattice_SchmidMatrix_trans: '//trim(lattice_target))
call buildTransformationSystem(devNull,SchmidMatrix,Ntrans,a_fcc=a_fcc,a_bcc=a_bcc) call buildTransformationSystem(devNull,SchmidMatrix,Ntrans,a_cF=a_cF,a_cI=a_cI)
else else
call IO_error(131,ext_msg='lattice_SchmidMatrix_trans: '//trim(lattice_target)) call IO_error(131,ext_msg='lattice_SchmidMatrix_trans: '//trim(lattice_target))
end if end if
@ -1527,11 +1531,11 @@ function lattice_SchmidMatrix_cleavage(Ncleavage,lattice,cOverA) result(SchmidMa
select case(lattice) select case(lattice)
case('cF') case('cF')
NcleavageMax = FCC_NCLEAVAGESYSTEM NcleavageMax = CF_NCLEAVAGESYSTEM
cleavageSystems = FCC_SYSTEMCLEAVAGE cleavageSystems = CF_SYSTEMCLEAVAGE
case('cI') case('cI')
NcleavageMax = BCC_NCLEAVAGESYSTEM NcleavageMax = CI_NCLEAVAGESYSTEM
cleavageSystems = BCC_SYSTEMCLEAVAGE cleavageSystems = CI_SYSTEMCLEAVAGE
case default case default
allocate(NcleavageMax(0)) allocate(NcleavageMax(0))
call IO_error(137,ext_msg='lattice_SchmidMatrix_cleavage: '//trim(lattice)) call IO_error(137,ext_msg='lattice_SchmidMatrix_cleavage: '//trim(lattice))
@ -1623,17 +1627,17 @@ function lattice_labels_slip(Nslip,lattice) result(labels)
select case(lattice) select case(lattice)
case('cF') case('cF')
NslipMax = FCC_NSLIPSYSTEM NslipMax = CF_NSLIPSYSTEM
slipSystems = FCC_SYSTEMSLIP slipSystems = CF_SYSTEMSLIP
case('cI') case('cI')
NslipMax = BCC_NSLIPSYSTEM NslipMax = CI_NSLIPSYSTEM
slipSystems = BCC_SYSTEMSLIP slipSystems = CI_SYSTEMSLIP
case('hP') case('hP')
NslipMax = HEX_NSLIPSYSTEM NslipMax = HP_NSLIPSYSTEM
slipSystems = HEX_SYSTEMSLIP slipSystems = HP_SYSTEMSLIP
case('tI') case('tI')
NslipMax = BCT_NSLIPSYSTEM NslipMax = TI_NSLIPSYSTEM
slipSystems = BCT_SYSTEMSLIP slipSystems = TI_SYSTEMSLIP
case default case default
call IO_error(137,ext_msg='lattice_labels_slip: '//trim(lattice)) call IO_error(137,ext_msg='lattice_labels_slip: '//trim(lattice))
end select end select
@ -1737,14 +1741,14 @@ function lattice_labels_twin(Ntwin,lattice) result(labels)
select case(lattice) select case(lattice)
case('cF') case('cF')
NtwinMax = FCC_NTWINSYSTEM NtwinMax = CF_NTWINSYSTEM
twinSystems = FCC_SYSTEMTWIN twinSystems = CF_SYSTEMTWIN
case('cI') case('cI')
NtwinMax = BCC_NTWINSYSTEM NtwinMax = CI_NTWINSYSTEM
twinSystems = BCC_SYSTEMTWIN twinSystems = CI_SYSTEMTWIN
case('hP') case('hP')
NtwinMax = HEX_NTWINSYSTEM NtwinMax = HP_NTWINSYSTEM
twinSystems = HEX_SYSTEMTWIN twinSystems = HP_SYSTEMTWIN
case default case default
call IO_error(137,ext_msg='lattice_labels_twin: '//trim(lattice)) call IO_error(137,ext_msg='lattice_labels_twin: '//trim(lattice))
end select end select
@ -1823,17 +1827,17 @@ function coordinateSystem_slip(Nslip,lattice,cOverA) result(coordinateSystem)
select case(lattice) select case(lattice)
case('cF') case('cF')
NslipMax = FCC_NSLIPSYSTEM NslipMax = CF_NSLIPSYSTEM
slipSystems = FCC_SYSTEMSLIP slipSystems = CF_SYSTEMSLIP
case('cI') case('cI')
NslipMax = BCC_NSLIPSYSTEM NslipMax = CI_NSLIPSYSTEM
slipSystems = BCC_SYSTEMSLIP slipSystems = CI_SYSTEMSLIP
case('hP') case('hP')
NslipMax = HEX_NSLIPSYSTEM NslipMax = HP_NSLIPSYSTEM
slipSystems = HEX_SYSTEMSLIP slipSystems = HP_SYSTEMSLIP
case('tI') case('tI')
NslipMax = BCT_NSLIPSYSTEM NslipMax = TI_NSLIPSYSTEM
slipSystems = BCT_SYSTEMSLIP slipSystems = TI_SYSTEMSLIP
case default case default
allocate(NslipMax(0)) allocate(NslipMax(0))
call IO_error(137,ext_msg='coordinateSystem_slip: '//trim(lattice)) call IO_error(137,ext_msg='coordinateSystem_slip: '//trim(lattice))
@ -1962,24 +1966,24 @@ end function buildCoordinateSystem
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief Helper function to define transformation systems !> @brief Helper function to define transformation systems
! Needed to calculate Schmid matrix and rotated stiffness matrices. ! Needed to calculate Schmid matrix and rotated stiffness matrices.
! @details: set c/a = 0.0 for fcc -> bcc transformation ! @details: use c/a for cF -> cI transformation
! set a_Xcc = 0.0 for fcc -> hex transformation ! use a_cX for cF -> hP transformation
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine buildTransformationSystem(Q,S,Ntrans,cOverA,a_fcc,a_bcc) subroutine buildTransformationSystem(Q,S,Ntrans,cOverA,a_cF,a_cI)
integer, dimension(:), intent(in) :: & integer, dimension(:), intent(in) :: &
Ntrans Ntrans
real(pReal), dimension(3,3,sum(Ntrans)), intent(out) :: & real(pReal), dimension(3,3,sum(Ntrans)), intent(out) :: &
Q, & !< Total rotation: Q = R*B Q, & !< Total rotation: Q = R*B
S !< Eigendeformation tensor for phase transformation S !< Eigendeformation tensor for phase transformation
real(pReal), optional, intent(in) :: & real(pReal), optional, intent(in) :: &
cOverA, & !< c/a for target hex lattice cOverA, & !< c/a for target hP lattice
a_bcc, & !< lattice parameter a for bcc target lattice a_cF, & !< lattice parameter a for cF target lattice
a_fcc !< lattice parameter a for fcc parent lattice a_cI !< lattice parameter a for cI parent lattice
type(tRotation) :: & type(tRotation) :: &
R, & !< Pitsch rotation R, & !< Pitsch rotation
B !< Rotation of fcc to Bain coordinate system B !< Rotation of cF to Bain coordinate system
real(pReal), dimension(3,3) :: & real(pReal), dimension(3,3) :: &
U, & !< Bain deformation U, & !< Bain deformation
ss, sd ss, sd
@ -1987,8 +1991,8 @@ subroutine buildTransformationSystem(Q,S,Ntrans,cOverA,a_fcc,a_bcc)
x, y, z x, y, z
integer :: & integer :: &
i i
real(pReal), dimension(3+3,FCC_NTRANS), parameter :: & real(pReal), dimension(3+3,CF_NTRANS), parameter :: &
FCCTOHEX_SYSTEMTRANS = reshape(real( [& CFTOHP_SYSTEMTRANS = reshape(real( [&
-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, 1,-2, 1, 1, 1, & 1, 1,-2, 1, 1, 1, &
@ -2001,10 +2005,10 @@ subroutine buildTransformationSystem(Q,S,Ntrans,cOverA,a_fcc,a_bcc)
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, 1, 2, -1, 1,-1 & -1, 1, 2, -1, 1,-1 &
],pReal),shape(FCCTOHEX_SYSTEMTRANS)) ],pReal),shape(CFTOHP_SYSTEMTRANS))
real(pReal), dimension(4,fcc_Ntrans), parameter :: & real(pReal), dimension(4,cF_Ntrans), parameter :: &
FCCTOBCC_SYSTEMTRANS = reshape([& CFTOCI_SYSTEMTRANS = reshape([&
0.0, 1.0, 0.0, 10.26, & ! Pitsch OR (Ma & Hartmaier 2014, Table 3) 0.0, 1.0, 0.0, 10.26, & ! Pitsch OR (Ma & Hartmaier 2014, Table 3)
0.0,-1.0, 0.0, 10.26, & 0.0,-1.0, 0.0, 10.26, &
0.0, 0.0, 1.0, 10.26, & 0.0, 0.0, 1.0, 10.26, &
@ -2017,10 +2021,10 @@ subroutine buildTransformationSystem(Q,S,Ntrans,cOverA,a_fcc,a_bcc)
-1.0, 0.0, 0.0, 10.26, & -1.0, 0.0, 0.0, 10.26, &
0.0, 1.0, 0.0, 10.26, & 0.0, 1.0, 0.0, 10.26, &
0.0,-1.0, 0.0, 10.26 & 0.0,-1.0, 0.0, 10.26 &
],shape(FCCTOBCC_SYSTEMTRANS)) ],shape(CFTOCI_SYSTEMTRANS))
integer, dimension(9,fcc_Ntrans), parameter :: & integer, dimension(9,cF_Ntrans), parameter :: &
FCCTOBCC_BAINVARIANT = reshape( [& CFTOCI_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, & ! 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, & 1, 0, 0, 0, 1, 0, 0, 0, 1, &
@ -2033,11 +2037,11 @@ subroutine buildTransformationSystem(Q,S,Ntrans,cOverA,a_fcc,a_bcc)
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, &
0, 0, 1, 1, 0, 0, 0, 1, 0 & 0, 0, 1, 1, 0, 0, 0, 1, 0 &
],shape(FCCTOBCC_BAINVARIANT)) ],shape(CFTOCI_BAINVARIANT))
real(pReal), dimension(4,fcc_Ntrans), parameter :: & real(pReal), dimension(4,cF_Ntrans), parameter :: &
FCCTOBCC_BAINROT = reshape([& CFTOCI_BAINROT = reshape([&
1.0, 0.0, 0.0, 45.0, & ! Rotate fcc austensite to bain variant 1.0, 0.0, 0.0, 45.0, & ! Rotate cF 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, & 1.0, 0.0, 0.0, 45.0, &
1.0, 0.0, 0.0, 45.0, & 1.0, 0.0, 0.0, 45.0, &
@ -2049,19 +2053,17 @@ subroutine buildTransformationSystem(Q,S,Ntrans,cOverA,a_fcc,a_bcc)
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, &
0.0, 0.0, 1.0, 45.0 & 0.0, 0.0, 1.0, 45.0 &
],shape(FCCTOBCC_BAINROT)) ],shape(CFTOCI_BAINROT))
if (present(a_bcc) .and. present(a_fcc)) then if (present(a_cI) .and. present(a_cF)) then
do i = 1,sum(Ntrans) do i = 1,sum(Ntrans)
call R%fromAxisAngle(FCCTOBCC_SYSTEMTRANS(:,i),degrees=.true.,P=1) call R%fromAxisAngle(CFTOCI_SYSTEMTRANS(:,i),degrees=.true.,P=1)
call B%fromAxisAngle(FCCTOBCC_BAINROT(:,i), degrees=.true.,P=1) call B%fromAxisAngle(CFTOCI_BAINROT(:,i), degrees=.true.,P=1)
x = real(FCCTOBCC_BAINVARIANT(1:3,i),pReal) x = real(CFTOCI_BAINVARIANT(1:3,i),pReal)
y = real(FCCTOBCC_BAINVARIANT(4:6,i),pReal) y = real(CFTOCI_BAINVARIANT(4:6,i),pReal)
z = real(FCCTOBCC_BAINVARIANT(7:9,i),pReal) z = real(CFTOCI_BAINVARIANT(7:9,i),pReal)
U = (a_bcc/a_fcc)*math_outer(x,x) & U = (a_cI/a_cF) * (math_outer(x,x) + (math_outer(y,y)+math_outer(z,z)) * sqrt(2.0_pReal))
+ (a_bcc/a_fcc)*math_outer(y,y) * sqrt(2.0_pReal) &
+ (a_bcc/a_fcc)*math_outer(z,z) * sqrt(2.0_pReal)
Q(1:3,1:3,i) = matmul(R%asMatrix(),B%asMatrix()) Q(1:3,1:3,i) = matmul(R%asMatrix(),B%asMatrix())
S(1:3,1:3,i) = matmul(R%asMatrix(),U) - MATH_I3 S(1:3,1:3,i) = matmul(R%asMatrix(),U) - MATH_I3
enddo enddo
@ -2072,8 +2074,8 @@ subroutine buildTransformationSystem(Q,S,Ntrans,cOverA,a_fcc,a_bcc)
sd(3,3) = cOverA/sqrt(8.0_pReal/3.0_pReal) sd(3,3) = cOverA/sqrt(8.0_pReal/3.0_pReal)
do i = 1,sum(Ntrans) do i = 1,sum(Ntrans)
x = FCCTOHEX_SYSTEMTRANS(1:3,i)/norm2(FCCTOHEX_SYSTEMTRANS(1:3,i)) x = CFTOHP_SYSTEMTRANS(1:3,i)/norm2(CFTOHP_SYSTEMTRANS(1:3,i))
z = FCCTOHEX_SYSTEMTRANS(4:6,i)/norm2(FCCTOHEX_SYSTEMTRANS(4:6,i)) z = CFTOHP_SYSTEMTRANS(4:6,i)/norm2(CFTOHP_SYSTEMTRANS(4:6,i))
y = -math_cross(x,z) y = -math_cross(x,z)
Q(1:3,1,i) = x Q(1:3,1,i) = x
Q(1:3,2,i) = y Q(1:3,2,i) = y

2
src/phase_mechanical_plastic_dislotwin.f90
View File

@ -200,7 +200,7 @@ module function plastic_dislotwin_init() result(myPlasticity)
prm%n0_sl = lattice_slip_normal(N_sl,phase_lattice(ph),phase_cOverA(ph)) prm%n0_sl = lattice_slip_normal(N_sl,phase_lattice(ph),phase_cOverA(ph))
prm%fccTwinTransNucleation = phase_lattice(ph) == 'cF' .and. (N_sl(1) == 12) prm%fccTwinTransNucleation = phase_lattice(ph) == 'cF' .and. (N_sl(1) == 12)
if (prm%fccTwinTransNucleation) prm%fcc_twinNucleationSlipPair = lattice_FCC_TWINNUCLEATIONSLIPPAIR if (prm%fccTwinTransNucleation) prm%fcc_twinNucleationSlipPair = lattice_CF_TWINNUCLEATIONSLIPPAIR
rho_mob_0 = pl%get_as1dFloat('rho_mob_0', requiredSize=size(N_sl)) rho_mob_0 = pl%get_as1dFloat('rho_mob_0', requiredSize=size(N_sl))
rho_dip_0 = pl%get_as1dFloat('rho_dip_0', requiredSize=size(N_sl)) rho_dip_0 = pl%get_as1dFloat('rho_dip_0', requiredSize=size(N_sl))