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Corrected version of the previous constitutive.f90 

prefix -constitutive- added to variables of the module
This commit is contained in:
Luc Hantcherli 2007-03-21 16:57:32 +00:00
parent b91ab5ae61
commit 2703989c4f
1 changed files with 194 additions and 199 deletions
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@ -24,103 +24,109 @@ character*80, allocatble :: TCfile(:),ODFfile(:)
! NB: orientation files TCfile(number of material) ! NB: orientation files TCfile(number of material)
!* Integer * !* Integer *
integer(pInt) Nmats integer(pInt) constitutive_Nmats
! NB: Number of materials (read in material file) ! NB: Number of materials (read in material file)
integer(pInt), allocatable :: crystal_structure(:) integer(pInt), allocatable :: constitutive_crystal_structure(:)
! NB: crystal_structure(number of material)=1-3 ! NB: crystal_structure(number of material)=1-3
integer(pInt) Nslip(3) integer(pInt) constitutive_Nslip(3)
! NB: Number of systems for each crystal structure (3) ! NB: Number of systems for each crystal structure (3)
! NB: not forget a MaxSlip variable that give the effective number
! of slip system I have
!* Real * !* Real *
real(pReal), allocatable :: Cslip_66(:,:,:) real(pReal), allocatable :: constitutive_Cslip_66(:,:,:)
! NB: Cslip_66(1:6,1:6,number of materials) ! NB: Cslip_66(1:6,1:6,number of materials)
real(pReal), allocatable :: s0_slip(:),gdot0_slip(:),n_slip(:) real(pReal), allocatable :: constitutive_s0_slip(:)
real(pReal), allocatable :: h0(:),w0(:),s_sat(:) real(pReal), allocatable :: constitutive_gdot0_slip(:)
real(pReal), allocatable :: constitutive_n_slip(:)
real(pReal), allocatable :: constitutive_h0(:)
real(pReal), allocatable :: constitutive_w0(:)
real(pReal), allocatable :: constitutive_s_sat(:)
! NB: Parameters(number of materials) ! NB: Parameters(number of materials)
real(pReal), allocatable :: hardening_matrix(:,:,:) real(pReal), allocatable :: constitutive_hardening_matrix(:,:,:)
! NB: hardening_matrix(48,48,3) ! NB: hardening_matrix(48,48,3)
real(pReal), parameter :: latent_hardening=1.4_pReal real(pReal), parameter :: constitutive_latent_hardening=1.4_pReal
real(pReal) sn(3,48,3),sd(3,48,3) real(pReal) constitutive_sn(3,48,3),constitutive_sd(3,48,3)
! NB: slip normale and slip direction for 3 crystal structures ! NB: slip normale and slip direction for 3 crystal structures
! Is 48 always the maximum number of systems? ! Is 48 always the maximum number of systems?
real(pReal) Sslip(3,3,48,3),Sslip_v(6,48,3) real(pReal) constitutive_Sslip(3,3,48,3),constitutive_Sslip_v(6,48,3)
! NB: Schmid matrices and corresponding Schmid vectors ! NB: Schmid matrices and corresponding Schmid vectors
!*** Slip systems for FCC structures (1) *** !*** Slip systems for FCC structures (1) ***
Nslip(1)=12_pInt constitutive_Nslip(1)=12_pInt
!* System {111}<110> Sort according Eisenlohr&Hantcherli !* System {111}<110> Sort according Eisenlohr&Hantcherli
data sd(:, 1,1)/ 0, 1,-1/ ; data sn(:, 1,1)/ 1, 1, 1/ data constitutive_sd(:, 1,1)/ 0, 1,-1/ ; data constitutive_sn(:, 1,1)/ 1, 1, 1/
data sd(:, 2,1)/-1, 0, 1/ ; data sn(:, 2,1)/ 1, 1, 1/ data constitutive_sd(:, 2,1)/-1, 0, 1/ ; data constitutive_sn(:, 2,1)/ 1, 1, 1/
data sd(:, 3,1)/ 1,-1, 0/ ; data sn(:, 3,1)/ 1, 1, 1/ data constitutive_sd(:, 3,1)/ 1,-1, 0/ ; data constitutive_sn(:, 3,1)/ 1, 1, 1/
data sd(:, 4,1)/ 0,-1,-1/ ; data sn(:, 4,1)/-1,-1, 1/ data constitutive_sd(:, 4,1)/ 0,-1,-1/ ; data constitutive_sn(:, 4,1)/-1,-1, 1/
data sd(:, 5,1)/ 1, 0, 1/ ; data sn(:, 5,1)/-1,-1, 1/ data constitutive_sd(:, 5,1)/ 1, 0, 1/ ; data constitutive_sn(:, 5,1)/-1,-1, 1/
data sd(:, 6,1)/-1, 1, 0/ ; data sn(:, 6,1)/-1,-1, 1/ data constitutive_sd(:, 6,1)/-1, 1, 0/ ; data constitutive_sn(:, 6,1)/-1,-1, 1/
data sd(:, 7,1)/ 0,-1, 1/ ; data sn(:, 7,1)/ 1,-1,-1/ data constitutive_sd(:, 7,1)/ 0,-1, 1/ ; data constitutive_sn(:, 7,1)/ 1,-1,-1/
data sd(:, 8,1)/-1, 0,-1/ ; data sn(:, 8,1)/ 1,-1,-1/ data constitutive_sd(:, 8,1)/-1, 0,-1/ ; data constitutive_sn(:, 8,1)/ 1,-1,-1/
data sd(:, 9,1)/ 1, 1, 0/ ; data sn(:, 9,1)/ 1,-1,-1/ data constitutive_sd(:, 9,1)/ 1, 1, 0/ ; data constitutive_sn(:, 9,1)/ 1,-1,-1/
data sd(:,10,1)/ 0, 1, 1/ ; data sn(:,10,1)/-1, 1,-1/ data constitutive_sd(:,10,1)/ 0, 1, 1/ ; data constitutive_sn(:,10,1)/-1, 1,-1/
data sd(:,11,1)/ 1, 0,-1/ ; data sn(:,11,1)/-1, 1,-1/ data constitutive_sd(:,11,1)/ 1, 0,-1/ ; data constitutive_sn(:,11,1)/-1, 1,-1/
data sd(:,12,1)/-1,-1, 0/ ; data sn(:,12,1)/-1, 1,-1/ data constitutive_sd(:,12,1)/-1,-1, 0/ ; data constitutive_sn(:,12,1)/-1, 1,-1/
!*** Slip systems for BCC structures (2) *** !*** Slip systems for BCC structures (2) ***
Nslip(2)=48_pInt constitutive_Nslip(2)=48_pInt
!* System {110}<111> !* System {110}<111>
!* Sort? !* Sort?
data sd(:, 1,2)/ 1,-1, 1/ ; data sn(:, 1,2)/ 0, 1, 1/ data constitutive_sd(:, 1,2)/ 1,-1, 1/ ; data constitutive_sn(:, 1,2)/ 0, 1, 1/
data sd(:, 2,2)/-1,-1, 1/ ; data sn(:, 2,2)/ 0, 1, 1/ data constitutive_sd(:, 2,2)/-1,-1, 1/ ; data constitutive_sn(:, 2,2)/ 0, 1, 1/
data sd(:, 3,2)/ 1, 1, 1/ ; data sn(:, 3,2)/ 0,-1, 1/ data constitutive_sd(:, 3,2)/ 1, 1, 1/ ; data constitutive_sn(:, 3,2)/ 0,-1, 1/
data sd(:, 4,2)/-1, 1, 1/ ; data sn(:, 4,2)/ 0,-1, 1/ data constitutive_sd(:, 4,2)/-1, 1, 1/ ; data constitutive_sn(:, 4,2)/ 0,-1, 1/
data sd(:, 5,2)/-1, 1, 1/ ; data sn(:, 5,2)/ 1, 0, 1/ data constitutive_sd(:, 5,2)/-1, 1, 1/ ; data constitutive_sn(:, 5,2)/ 1, 0, 1/
data sd(:, 6,2)/-1,-1, 1/ ; data sn(:, 6,2)/ 1, 0, 1/ data constitutive_sd(:, 6,2)/-1,-1, 1/ ; data constitutive_sn(:, 6,2)/ 1, 0, 1/
data sd(:, 7,2)/ 1, 1, 1/ ; data sn(:, 7,2)/-1, 0, 1/ data constitutive_sd(:, 7,2)/ 1, 1, 1/ ; data constitutive_sn(:, 7,2)/-1, 0, 1/
data sd(:, 8,2)/ 1,-1, 1/ ; data sn(:, 8,2)/-1, 0, 1/ data constitutive_sd(:, 8,2)/ 1,-1, 1/ ; data constitutive_sn(:, 8,2)/-1, 0, 1/
data sd(:, 9,2)/-1, 1, 1/ ; data sn(:, 9,2)/ 1, 1, 0/ data constitutive_sd(:, 9,2)/-1, 1, 1/ ; data constitutive_sn(:, 9,2)/ 1, 1, 0/
data sd(:,10,2)/-1, 1,-1/ ; data sn(:,10,2)/ 1, 1, 0/ data constitutive_sd(:,10,2)/-1, 1,-1/ ; data constitutive_sn(:,10,2)/ 1, 1, 0/
data sd(:,11,2)/ 1, 1, 1/ ; data sn(:,11,2)/-1, 1, 0/ data constitutive_sd(:,11,2)/ 1, 1, 1/ ; data constitutive_sn(:,11,2)/-1, 1, 0/
data sd(:,12,2)/ 1, 1,-1/ ; data sn(:,12,2)/-1, 1, 0/ data constitutive_sd(:,12,2)/ 1, 1,-1/ ; data constitutive_sn(:,12,2)/-1, 1, 0/
!* System {112}<111> !* System {112}<111>
!* Sort? !* Sort?
data sd(:,13,2)/-1, 1, 1/ ; data sn(:,13,2)/ 2, 1, 1/ data constitutive_sd(:,13,2)/-1, 1, 1/ ; data constitutive_sn(:,13,2)/ 2, 1, 1/
data sd(:,14,2)/ 1, 1, 1/ ; data sn(:,14,2)/-2, 1, 1/ data constitutive_sd(:,14,2)/ 1, 1, 1/ ; data constitutive_sn(:,14,2)/-2, 1, 1/
data sd(:,15,2)/ 1, 1,-1/ ; data sn(:,15,2)/ 2,-1, 1/ data constitutive_sd(:,15,2)/ 1, 1,-1/ ; data constitutive_sn(:,15,2)/ 2,-1, 1/
data sd(:,16,2)/ 1,-1, 1/ ; data sn(:,16,2)/ 2, 1,-1/ data constitutive_sd(:,16,2)/ 1,-1, 1/ ; data constitutive_sn(:,16,2)/ 2, 1,-1/
data sd(:,17,2)/ 1,-1, 1/ ; data sn(:,17,2)/ 1, 2, 1/ data constitutive_sd(:,17,2)/ 1,-1, 1/ ; data constitutive_sn(:,17,2)/ 1, 2, 1/
data sd(:,18,2)/ 1, 1,-1/ ; data sn(:,18,2)/-1, 2, 1/ data constitutive_sd(:,18,2)/ 1, 1,-1/ ; data constitutive_sn(:,18,2)/-1, 2, 1/
data sd(:,19,2)/ 1, 1, 1/ ; data sn(:,19,2)/ 1,-2, 1/ data constitutive_sd(:,19,2)/ 1, 1, 1/ ; data constitutive_sn(:,19,2)/ 1,-2, 1/
data sd(:,20,2)/-1, 1, 1/ ; data sn(:,20,2)/ 1, 2,-1/ data constitutive_sd(:,20,2)/-1, 1, 1/ ; data constitutive_sn(:,20,2)/ 1, 2,-1/
data sd(:,21,2)/ 1, 1,-1/ ; data sn(:,21,2)/ 1, 1, 2/ data constitutive_sd(:,21,2)/ 1, 1,-1/ ; data constitutive_sn(:,21,2)/ 1, 1, 2/
data sd(:,22,2)/ 1,-1, 1/ ; data sn(:,22,2)/-1, 1, 2/ data constitutive_sd(:,22,2)/ 1,-1, 1/ ; data constitutive_sn(:,22,2)/-1, 1, 2/
data sd(:,23,2)/-1, 1, 1/ ; data sn(:,23,2)/ 1,-1, 2/ data constitutive_sd(:,23,2)/-1, 1, 1/ ; data constitutive_sn(:,23,2)/ 1,-1, 2/
data sd(:,24,2)/ 1, 1, 1/ ; data sn(:,24,2)/ 1, 1,-2/ data constitutive_sd(:,24,2)/ 1, 1, 1/ ; data constitutive_sn(:,24,2)/ 1, 1,-2/
!* System {123}<111> !* System {123}<111>
!* Sort? !* Sort?
data sd(:,25,2)/ 1, 1,-1/ ; data sn(:,25,2)/ 1, 2, 3/ data constitutive_sd(:,25,2)/ 1, 1,-1/ ; data constitutive_sn(:,25,2)/ 1, 2, 3/
data sd(:,26,2)/ 1,-1, 1/ ; data sn(:,26,2)/-1, 2, 3/ data constitutive_sd(:,26,2)/ 1,-1, 1/ ; data constitutive_sn(:,26,2)/-1, 2, 3/
data sd(:,27,2)/-1, 1, 1/ ; data sn(:,27,2)/ 1,-2, 3/ data constitutive_sd(:,27,2)/-1, 1, 1/ ; data constitutive_sn(:,27,2)/ 1,-2, 3/
data sd(:,28,2)/ 1, 1, 1/ ; data sn(:,28,2)/ 1, 2,-3/ data constitutive_sd(:,28,2)/ 1, 1, 1/ ; data constitutive_sn(:,28,2)/ 1, 2,-3/
data sd(:,29,2)/ 1,-1, 1/ ; data sn(:,29,2)/ 1, 3, 2/ data constitutive_sd(:,29,2)/ 1,-1, 1/ ; data constitutive_sn(:,29,2)/ 1, 3, 2/
data sd(:,30,2)/ 1, 1,-1/ ; data sn(:,30,2)/-1, 3, 2/ data constitutive_sd(:,30,2)/ 1, 1,-1/ ; data constitutive_sn(:,30,2)/-1, 3, 2/
data sd(:,31,2)/ 1, 1, 1/ ; data sn(:,31,2)/ 1,-3, 2/ data constitutive_sd(:,31,2)/ 1, 1, 1/ ; data constitutive_sn(:,31,2)/ 1,-3, 2/
data sd(:,32,2)/-1, 1, 1/ ; data sn(:,32,2)/ 1, 3,-2/ data constitutive_sd(:,32,2)/-1, 1, 1/ ; data constitutive_sn(:,32,2)/ 1, 3,-2/
data sd(:,33,2)/ 1, 1,-1/ ; data sn(:,33,2)/ 2, 1, 3/ data constitutive_sd(:,33,2)/ 1, 1,-1/ ; data constitutive_sn(:,33,2)/ 2, 1, 3/
data sd(:,34,2)/ 1,-1, 1/ ; data sn(:,34,2)/-2, 1, 3/ data constitutive_sd(:,34,2)/ 1,-1, 1/ ; data constitutive_sn(:,34,2)/-2, 1, 3/
data sd(:,35,2)/-1, 1, 1/ ; data sn(:,35,2)/ 2,-1, 3/ data constitutive_sd(:,35,2)/-1, 1, 1/ ; data constitutive_sn(:,35,2)/ 2,-1, 3/
data sd(:,36,2)/ 1, 1, 1/ ; data sn(:,36,2)/ 2, 1,-3/ data constitutive_sd(:,36,2)/ 1, 1, 1/ ; data constitutive_sn(:,36,2)/ 2, 1,-3/
data sd(:,37,2)/ 1,-1, 1/ ; data sn(:,37,2)/ 2, 3, 1/ data constitutive_sd(:,37,2)/ 1,-1, 1/ ; data constitutive_sn(:,37,2)/ 2, 3, 1/
data sd(:,38,2)/ 1, 1,-1/ ; data sn(:,38,2)/-2, 3, 1/ data constitutive_sd(:,38,2)/ 1, 1,-1/ ; data constitutive_sn(:,38,2)/-2, 3, 1/
data sd(:,39,2)/ 1, 1, 1/ ; data sn(:,39,2)/ 2,-3, 1/ data constitutive_sd(:,39,2)/ 1, 1, 1/ ; data constitutive_sn(:,39,2)/ 2,-3, 1/
data sd(:,40,2)/-1, 1, 1/ ; data sn(:,40,2)/ 2, 3,-1/ data constitutive_sd(:,40,2)/-1, 1, 1/ ; data constitutive_sn(:,40,2)/ 2, 3,-1/
data sd(:,41,2)/-1, 1, 1/ ; data sn(:,41,2)/ 3, 1, 2/ data constitutive_sd(:,41,2)/-1, 1, 1/ ; data constitutive_sn(:,41,2)/ 3, 1, 2/
data sd(:,42,2)/ 1, 1, 1/ ; data sn(:,42,2)/-3, 1, 2/ data constitutive_sd(:,42,2)/ 1, 1, 1/ ; data constitutive_sn(:,42,2)/-3, 1, 2/
data sd(:,43,2)/ 1, 1,-1/ ; data sn(:,43,2)/ 3,-1, 2/ data constitutive_sd(:,43,2)/ 1, 1,-1/ ; data constitutive_sn(:,43,2)/ 3,-1, 2/
data sd(:,44,2)/ 1,-1, 1/ ; data sn(:,44,2)/ 3, 1,-2/ data constitutive_sd(:,44,2)/ 1,-1, 1/ ; data constitutive_sn(:,44,2)/ 3, 1,-2/
data sd(:,45,2)/-1, 1, 1/ ; data sn(:,45,2)/ 3, 2, 1/ data constitutive_sd(:,45,2)/-1, 1, 1/ ; data constitutive_sn(:,45,2)/ 3, 2, 1/
data sd(:,46,2)/ 1, 1, 1/ ; data sn(:,46,2)/-3, 2, 1/ data constitutive_sd(:,46,2)/ 1, 1, 1/ ; data constitutive_sn(:,46,2)/-3, 2, 1/
data sd(:,47,2)/ 1, 1,-1/ ; data sn(:,47,2)/ 3,-2, 1/ data constitutive_sd(:,47,2)/ 1, 1,-1/ ; data constitutive_sn(:,47,2)/ 3,-2, 1/
data sd(:,48,2)/ 1,-1, 1/ ; data sn(:,48,2)/ 3, 2,-1/ data constitutive_sd(:,48,2)/ 1,-1, 1/ ; data constitutive_sn(:,48,2)/ 3, 2,-1/
!*** Slip systems for HCP structures (3) *** !*** Slip systems for HCP structures (3) ***
Nslip(3)=12_pInt constitutive_Nslip(3)=12_pInt
!* Basal systems {0001}<1120> !* Basal systems {0001}<1120>
!* 1- (0 0 0 1)[-2 1 1 0] !* 1- (0 0 0 1)[-2 1 1 0]
!* 2- (0 0 0 1)[ 1 -2 1 0] !* 2- (0 0 0 1)[ 1 -2 1 0]
@ -130,17 +136,17 @@ Nslip(3)=12_pInt
!* Automatical transformation from Bravais to Miller !* Automatical transformation from Bravais to Miller
!* not done for the moment !* not done for the moment
!* Sort? !* Sort?
data sd(:, 1,3)/-1, 0, 0/ ; data sn(:, 1,3)/ 0, 0, 1/ data constitutive_sd(:, 1,3)/-1, 0, 0/ ; data constitutive_sn(:, 1,3)/ 0, 0, 1/
data sd(:, 2,3)/ 0,-1, 0/ ; data sn(:, 2,3)/ 0, 0, 1/ data constitutive_sd(:, 2,3)/ 0,-1, 0/ ; data constitutive_sn(:, 2,3)/ 0, 0, 1/
data sd(:, 3,3)/ 1, 1, 0/ ; data sn(:, 3,3)/ 0, 0, 1/ data constitutive_sd(:, 3,3)/ 1, 1, 0/ ; data constitutive_sn(:, 3,3)/ 0, 0, 1/
!* 1st type prismatic systems {1010}<1120> !* 1st type prismatic systems {1010}<1120>
!* 1- ( 0 1 -1 0)[-2 1 1 0] !* 1- ( 0 1 -1 0)[-2 1 1 0]
!* 2- ( 1 0 -1 0)[ 1 -2 1 0] !* 2- ( 1 0 -1 0)[ 1 -2 1 0]
!* 3- (-1 1 0 0)[ 1 1 -2 0] !* 3- (-1 1 0 0)[ 1 1 -2 0]
!* Sort? !* Sort?
data sd(:, 4,3)/-1, 0, 0/ ; data sn(:, 4,3)/ 0, 1, 0/ data constitutive_sd(:, 4,3)/-1, 0, 0/ ; data constitutive_sn(:, 4,3)/ 0, 1, 0/
data sd(:, 5,3)/ 0,-1, 0/ ; data sn(:, 5,3)/ 1, 0, 0/ data constitutive_sd(:, 5,3)/ 0,-1, 0/ ; data constitutive_sn(:, 5,3)/ 1, 0, 0/
data sd(:, 6,3)/ 1, 1, 0/ ; data sn(:, 6,3)/-1, 1, 0/ data constitutive_sd(:, 6,3)/ 1, 1, 0/ ; data constitutive_sn(:, 6,3)/-1, 1, 0/
!* 1st type 1st order pyramidal systems {1011}<1120> !* 1st type 1st order pyramidal systems {1011}<1120>
!* 1- ( 0 -1 1 1)[-2 1 1 0] !* 1- ( 0 -1 1 1)[-2 1 1 0]
!* 2- ( 0 1 -1 1)[-2 1 1 0] !* 2- ( 0 1 -1 1)[-2 1 1 0]
@ -149,15 +155,15 @@ data sd(:, 6,3)/ 1, 1, 0/ ; data sn(:, 6,3)/-1, 1, 0/
!* 5- (-1 1 0 1)[ 1 1 -2 0] !* 5- (-1 1 0 1)[ 1 1 -2 0]
!* 6- ( 1 -1 0 1)[ 1 1 -2 0] !* 6- ( 1 -1 0 1)[ 1 1 -2 0]
!* Sort? !* Sort?
data sd(:, 7,3)/-1, 0, 0/ ; data sn(:, 7,3)/ 0,-1, 1/ data constitutive_sd(:, 7,3)/-1, 0, 0/ ; data constitutive_sn(:, 7,3)/ 0,-1, 1/
data sd(:, 8,3)/ 0,-1, 0/ ; data sn(:, 8,3)/ 0, 1, 1/ data constitutive_sd(:, 8,3)/ 0,-1, 0/ ; data constitutive_sn(:, 8,3)/ 0, 1, 1/
data sd(:, 9,3)/ 1, 1, 0/ ; data sn(:, 9,3)/-1, 0, 1/ data constitutive_sd(:, 9,3)/ 1, 1, 0/ ; data constitutive_sn(:, 9,3)/-1, 0, 1/
data sd(:,10,3)/-1, 0, 0/ ; data sn(:,10,3)/ 1, 0, 1/ data constitutive_sd(:,10,3)/-1, 0, 0/ ; data constitutive_sn(:,10,3)/ 1, 0, 1/
data sd(:,11,3)/ 0,-1, 0/ ; data sn(:,11,3)/-1, 1, 1/ data constitutive_sd(:,11,3)/ 0,-1, 0/ ; data constitutive_sn(:,11,3)/-1, 1, 1/
data sd(:,12,3)/ 1, 1, 0/ ; data sn(:,12,3)/ 1,-1, 1/ data constitutive_sd(:,12,3)/ 1, 1, 0/ ; data constitutive_sn(:,12,3)/ 1,-1, 1/
contains CONTAINS
!**************************************** !****************************************
!* - constitutive_init * !* - constitutive_init *
!* - constitutive_calc_SchmidM * !* - constitutive_calc_SchmidM *
@ -195,24 +201,22 @@ real(pReal) invNorm
!* Iteration over the crystal structures !* Iteration over the crystal structures
do l=1,3 do l=1,3
!* Iteration over the systems !* Iteration over the systems
do k=1,Nslip(l) do k=1,constitutive_Nslip(l)
!* Defintion of Schmid matrix !* Defintion of Schmid matrix
forall (i=1:3,j=1:3) forall (i=1:3,j=1:3)
Sslip(i,j,k,l)=sd(i,k,l)*sn(j,k,l) constitutive_Sslip(i,j,k,l)=constitutive_sd(i,k,l)*constitutive_sn(j,k,l)
endforall endforall
!* Normalization of Schmid matrix !* Normalization of Schmid matrix
invNorm = dsqrt(1.0_pReal/ invNorm=dsqrt(1.0_pReal/((constitutive_sn(1,k,l)**2+constitutive_sn(2,k,l)**2+constitutive_sn(3,k,l)**2)*(constitutive_sd(1,k,l)**2+constitutive_sd(2,k,l)**2+constitutive_sd(3,k,l)**2)))
& (sn(1,k,l)**2+sn(2,k,l)**2+sn(3,k,l)**2)* constitutive_Sslip(:,:,k,l)=constitutive_Sslip(:,:,k,l)*invNorm
& (sd(1,k,l)**2+sd(2,k,l)**2+sd(3,k,l)**2))
Sslip(:,:,k,l)=Sslip(:,:,k,l)*invNorm
!* Vectorization of normalized Schmid matrix !* Vectorization of normalized Schmid matrix
!* according MARC component order 11,22,33,12,23,13 !* according MARC component order 11,22,33,12,23,13
Sslip_v(1,k,l)=Sslip(1,1,k,l) constitutive_Sslip_v(1,k,l)=constitutive_Sslip(1,1,k,l)
Sslip_v(2,k,l)=Sslip(2,2,k,l) constitutive_Sslip_v(2,k,l)=constitutive_Sslip(2,2,k,l)
Sslip_v(3,k,l)=Sslip(3,3,k,l) constitutive_Sslip_v(3,k,l)=constitutive_Sslip(3,3,k,l)
Sslip_v(4,k,l)=Sslip(1,2,k,l)+Sslip(2,1,k,l) constitutive_Sslip_v(4,k,l)=constitutive_Sslip(1,2,k,l)+constitutive_Sslip(2,1,k,l)
Sslip_v(5,k,l)=Sslip(2,3,k,l)+Sslip(3,3,k,l) constitutive_Sslip_v(5,k,l)=constitutive_Sslip(2,3,k,l)+constitutive_Sslip(3,3,k,l)
Sslip_v(6,k,l)=Sslip(1,3,k,l)+Sslip(3,1,k,l) constitutive_Sslip_v(6,k,l)=constitutive_Sslip(1,3,k,l)+constitutive_Sslip(3,1,k,l)
enddo enddo
enddo enddo
@ -230,7 +234,7 @@ implicit none
integer(pInt) i,j,k,l integer(pInt) i,j,k,l
!* Initialization of the hardening matrix !* Initialization of the hardening matrix
hardening_matrix=latent_hardening constitutive_hardening_matrix=constitutive_latent_hardening
!* Iteration over the crystal structures !* Iteration over the crystal structures
do l=1,3 do l=1,3
select case(l) select case(l)
@ -238,26 +242,26 @@ do l=1,3
case (1) case (1)
do k=1,10,3 do k=1,10,3
forall (i=1:3,j=1:3) forall (i=1:3,j=1:3)
hardening_matrix(k-1+i,k-1+j,l)=1.0_pReal constitutive_hardening_matrix(k-1+i,k-1+j,l)=1.0_pReal
endforall endforall
enddo enddo
!* Hardening matrix for BCC structures !* Hardening matrix for BCC structures
case (2) case (2)
do k=1,11,2 do k=1,11,2
forall (i=1:2,j=1:2) forall (i=1:2,j=1:2)
hardening_matrix(k-1+i,k-1+j,l)=1.0_pReal constitutive_hardening_matrix(k-1+i,k-1+j,l)=1.0_pReal
endforall endforall
enddo enddo
do k=13,48 do k=13,48
hardening_matrix(k,k,l)=1.0_pReal constitutive_hardening_matrix(k,k,l)=1.0_pReal
enddo enddo
!* Hardening matrix for HCP structures !* Hardening matrix for HCP structures
case (3) case (3)
forall (i=1:3,j=1:3) forall (i=1:3,j=1:3)
hardening_matrix(i,j,l)=1.0_pReal constitutive_hardening_matrix(i,j,l)=1.0_pReal
endforall endforall
do k=4,12 do k=4,12
hardening_matrix(k,k,l)=1.0_ZdRe constitutive_hardening_matrix(k,k,l)=1.0_ZdRe
enddo enddo
end select end select
enddo enddo
@ -265,6 +269,10 @@ enddo
end subroutine end subroutine
!* NOT YET IMPLEMENTED *! !* NOT YET IMPLEMENTED *!
subroutine constitutive_parse_materialDat() subroutine constitutive_parse_materialDat()
!**************************************** !****************************************
@ -465,14 +473,10 @@ integer(pIn) i,j,k,l,positions(4)
end end
subroutine constitutive_calc_SlipRates( subroutine constitutive_calc_SlipRates(matID,tau_slip,tauc_slip,gdot_slip,dgdot_dtaucslip)
& matID,
& tau_slip,
& tauc_slip,
& gdot_slip,
& dgdot_dtaucslip
& )
!********************************************************************* !*********************************************************************
!* This subroutine contains the constitutive equation for the slip * !* This subroutine contains the constitutive equation for the slip *
!* rate on each slip system * !* rate on each slip system *
@ -489,30 +493,22 @@ implicit none
!* Definition of variables !* Definition of variables
integer(pInt) matID,i integer(pInt) matID,i
real(pReal), tau_slip(Nslip(crystal_structure(matID))) real(pReal) tau_slip(constitutive_Nslip(constitutive_crystal_structure(matID)))
real(pReal), tauc_slip_new(Nslip(crystal_structure(matID))) real(pReal) tauc_slip_new(constitutive_Nslip(constitutive_crystal_structure(matID)))
real(pReal), gdot_slip(Nslip(crystal_structure(matID))) real(pReal) gdot_slip(constitutive_Nslip(constitutive_crystal_structure(matID)))
real(pReal), dgdot_dtaucslip(Nslip(crystal_structure(matID))) real(pReal) dgdot_dtaucslip(constitutive_Nslip(constitutive_crystal_structure(matID)))
!* Iteration over the systems !* Iteration over the systems
do i=1,Nslip(crystal_structure(matID)) do i=1,constitutive_Nslip(constitutive_crystal_structure(matID))
gdot_slip(i)=gdot0_slip(matID)*(abs(tau_slip(i))/tauc_slip(i)) gdot_slip(i)=constitutive_gdot0_slip(matID)*(abs(tau_slip(i))/tauc_slip(i))**constitutive_n_slip(matID)*sign(1.0_pReal,tau_slip(i))
& **n_slip(matID)*sign(1.0_pReal,tau_slip(i)) dgdot_dtaucslip(i)=constitutive_gdot0_slip(matID)*(abs(tau_slip(i))/tauc_slip(i))**(constitutive_n_slip(matID)-1.0_pReal)*constitutive_n_slip(matID)/tauc_slip(i)
dgdot_dtaucslip(i)=gdot0_slip(matID)*(abs(tau_slip(i))/tauc_slip(i))
& **(n_slip(matID)-1.0_pReal)
& *n_slip(matID)/tauc_slip(i)
enddo enddo
return return
end subroutine end subroutine
subroutine constitutive_calc_Hardening( subroutine constitutive_calc_Hardening(matID,tauc_slip,gdot_slip,dtauc_slip)
& matID,
& tauc_slip,
& gdot_slip,
& dtauc_slip
& )
!********************************************************************* !*********************************************************************
!* This subroutine calculates the increment in critical shear stress * !* This subroutine calculates the increment in critical shear stress *
!* due to plastic deformation on each slip system * !* due to plastic deformation on each slip system *
@ -528,82 +524,81 @@ implicit none
!* Definition of variables !* Definition of variables
integer(pInt) matID,i,j integer(pInt) matID,i,j
real(pReal) tauc_slip_new(Nslip(crystal_structure(matID))) real(pReal) tauc_slip(constitutive_Nslip(constitutive_crystal_structure(matID)))
real(pReal) gdot_slip(Nslip(crystal_structure(matID))) real(pReal) gdot_slip(constitutive_Nslip(constitutive_crystal_structure(matID)))
real(pReal) dtauc_slip(Nslip(crystal_structure(matID))) real(pReal) dtauc_slip(constitutive_Nslip(constitutive_crystal_structure(matID)))
real(pReal) self_hardening(Nslip(crystal_structure(matID))) real(pReal) self_hardening(constitutive_Nslip(constitutive_crystal_structure(matID)))
!* Self-Hardening of each system !* Self-Hardening of each system
do i=1,Nslip(crystal_structure(matID)) do i=1,constitutive_Nslip(constitutive_crystal_structure(matID))
self_hardening(i)=h0(matID)*(1.0_pReal-tauc_slip(i)/ self_hardening(i)=constitutive_h0(matID)*(1.0_pReal-tauc_slip(i)/constitutive_s_sat(matID))**constitutive_w0(matID)*abs(gdot_slip(i))
& s_sat(matID))**w0(matID)*abs(gdot_slip(i))
enddo enddo
!* Hardening for all systems !* Hardening for all systems
i=Nslip(crystal_structure(matID)) i=Nslip(crystal_structure(matID))
j=crystal_structure(matID) j=crystal_structure(matID)
dtauc_slip=matmul(constitutive_hardening_matrix(1:i,1:i,j),self_hardening)
return
end subroutine
subroutine constitutive_calc_PlasVeloGradient(dt,tau_slip,tauc_slip_new,Lp)
!*********************************************************************
!* This subroutine calculates the plastic velocity gradient given *
!* the slip rates *
!* INPUT: *
!* - matID : material identifier *
!* - dt : time step *
!* - tau_slip : applied shear stress on each slip system *
!* - tauc_slip : critical shear stress on each slip system *
!* OUTPUT: *
!* - Lp : plastic velocity gradient *
!*********************************************************************
use prec, only: pReal,pInt
implicit none
!* Definition of variables
dtauc_slip=matmul(hardening_matrix(i,i,j),selfhr) integer(pInt) matID,i
real(pReal) dt,Lp(3,3)
return real(pReal) tau_slip(constitutive_Nslip(constitutive_crystal_structure(matID)))
end real(pReal) tauc_slip_new(constitutive_Nslip(constitutive_crystal_structure(matID)))
real(pReal) gdot_slip(constitutive_Nslip(constitutive_crystal_structure(matID)))
subroutine plastic_vel_grad(dt,tau_slip,tauc_slip_new,Lp)
C *************************************************************
C Subroutine calculates the plastic velocity gradient given the
C slip rates
C Input: dt : time step
C tau_slip : shear stress on each slip system on each
C slip system
C tauc_slip_new : critical shear stress needed for slip on each
C slip system
C Output: Lp : plastic velocity gradient
C gdot_slip : slip rate on each slip system
C *************************************************************
use mpie
use Zahlendarstellung
implicit none
real(ZdRe) dt,tau_slip(nslip),tauc_slip_new(nslip),
& Lp(3,3),gdot_slip(nslip)
integer(ZdIn) i
Lp=0
do i=1,nslip
gdot_slip(i)=g0_slip*(abs(tau_slip(i))/tauc_slip_new(i))
& **n_slip*sign(1.0_ZdRe,tau_slip(i))
Lp=Lp+gdot_slip(i)*Sslip(i,:,:)
enddo
return
end
function CPFEM_Cauchy(Estar_v,Fe,C66)
C ***************************************************************
C Subroutine calculates the cauchy from the elastic strain tensor
C Input: Estar_v : elastic strain tensor (in vector form)
C Fe : elastic deformation gradient
C C66 : Stiffness Tensor
C Output: cs : cauchy stress
C Local: Tstar_v,Tstar,mm,det
C ***************************************************************
use math
use prec
implicit none
real(pRe) Estar_v(6),Fe(3,3),C66(6,6),CPFEM_Cauchy(6)
real(pRe) det,mm(3,3),Tstar(3,3)
integer(pIn) i
det = math_det(Fe)
Tstar = math_6to33(matmul(C66,Estar_v))
mm=matmul(matmul(Fe,Tstar),transpose(Fe))/det
CPFEM_Cauchy = math_33to6(mm)
return
end function
end module !* Calculation of Lp
Lp=0.0_pReal
do i=1,constitutive_Nslip(constitutive_crystal_structure(matID))
gdot_slip(i)=constitutive_gdot0_slip(matID)*(abs(tau_slip(i))/tauc_slip(i))**constitutive_n_slip(matID)*sign(1.0_pReal,tau_slip(i))
Lp=Lp+gdot_slip(i)*constitutive_Sslip(:,:,i,constitutive_crystal_structure(matID))
enddo
return
end subroutine
!function CPFEM_Cauchy(Estar_v,Fe,C66)
! ***************************************************************
! Subroutine calculates the cauchy from the elastic strain tensor
! Input: Estar_v : elastic strain tensor (in vector form)
! Fe : elastic deformation gradient
! C66 : Stiffness Tensor
! Output: cs : cauchy stress
! Local: Tstar_v,Tstar,mm,det
! ***************************************************************
!use math
!use prec
!implicit none
!real(pRe) Estar_v(6),Fe(3,3),C66(6,6),CPFEM_Cauchy(6)
!real(pRe) det,mm(3,3),Tstar(3,3)
!integer(pIn) i
!det = math_det(Fe)
!Tstar = math_6to33(matmul(C66,Estar_v))
!mm=matmul(matmul(Fe,Tstar),transpose(Fe))/det
!CPFEM_Cauchy = math_33to6(mm)
!return
!end function
END MODULE