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DAMASK_EICMD
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no pInt

This commit is contained in:
Martin Diehl 2019-03-18 22:53:24 +01:00
parent b426145f0d
commit fbc607e14d
1 changed files with 55 additions and 55 deletions
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src/plastic_disloUCLA.f90
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@ -12,9 +12,9 @@ module plastic_disloUCLA
implicit none implicit none
private private
integer(pInt), dimension(:,:), allocatable, target, public :: & integer, dimension(:,:), allocatable, target, public :: &
plastic_disloUCLA_sizePostResult !< size of each post result output plastic_disloUCLA_sizePostResult !< size of each post result output
character(len=64), dimension(:,:), allocatable, target, public :: & character(len=64), dimension(:,:), allocatable, target, public :: &
plastic_disloUCLA_output !< name of each post result output plastic_disloUCLA_output !< name of each post result output
real(pReal), parameter, private :: & real(pReal), parameter, private :: &
@ -39,7 +39,7 @@ module plastic_disloUCLA
mu, & mu, &
D0, & !< prefactor for self-diffusion coefficient D0, & !< prefactor for self-diffusion coefficient
Qsd !< activation energy for dislocation climb Qsd !< activation energy for dislocation climb
real(pReal), allocatable, dimension(:) :: & real(pReal), dimension(:), allocatable :: &
rho0, & !< initial edge dislocation density rho0, & !< initial edge dislocation density
rhoDip0, & !< initial edge dipole density rhoDip0, & !< initial edge dipole density
burgers, & !< absolute length of burgers vector [m] burgers, & !< absolute length of burgers vector [m]
@ -58,32 +58,32 @@ module plastic_disloUCLA
kink_height, & !< height of the kink pair kink_height, & !< height of the kink pair
w, & !< width of the kink pair w, & !< width of the kink pair
omega !< attempt frequency for kink pair nucleation omega !< attempt frequency for kink pair nucleation
real(pReal), allocatable, dimension(:,:) :: & real(pReal), dimension(:,:), allocatable :: &
interaction_SlipSlip, & !< slip resistance from slip activity interaction_SlipSlip, & !< slip resistance from slip activity
forestProjectionEdge forestProjectionEdge
real(pReal), allocatable, dimension(:,:,:) :: & real(pReal), dimension(:,:,:), allocatable :: &
Schmid, & Schmid, &
nonSchmid_pos, & nonSchmid_pos, &
nonSchmid_neg nonSchmid_neg
integer(pInt) :: & integer :: &
totalNslip !< total number of active slip system totalNslip !< total number of active slip system
integer(pInt), allocatable, dimension(:) :: & integer, dimension(:), allocatable, :: &
Nslip !< number of active slip systems for each family Nslip !< number of active slip systems for each family
integer(kind(undefined_ID)), allocatable, dimension(:) :: & integer(kind(undefined_ID)), dimension(:),allocatable :: &
outputID !< ID of each post result output outputID !< ID of each post result output
logical :: & logical :: &
dipoleFormation !< flag indicating consideration of dipole formation dipoleFormation !< flag indicating consideration of dipole formation
end type !< container type for internal constitutive parameters end type !< container type for internal constitutive parameters
type, private :: tDisloUCLAState type, private :: tDisloUCLAState
real(pReal), pointer, dimension(:,:) :: & real(pReal), dimension(:,:), pointer :: &
rhoEdge, & rhoEdge, &
rhoEdgeDip, & rhoEdgeDip, &
accshear accshear
end type tDisloUCLAState end type tDisloUCLAState
type, private :: tDisloUCLAdependentState type, private :: tDisloUCLAdependentState
real(pReal), allocatable, dimension(:,:) :: & real(pReal), dimension(:,:), allocatable :: &
mfp, & mfp, &
dislocationSpacing, & dislocationSpacing, &
threshold_stress threshold_stress
@ -139,14 +139,14 @@ subroutine plastic_disloUCLA_init()
use lattice use lattice
implicit none implicit none
integer(pInt) :: & integer :: &
Ninstance, & Ninstance, &
p, i, & p, i, &
NipcMyPhase, & NipcMyPhase, &
sizeState, sizeDotState, & sizeState, sizeDotState, &
startIndex, endIndex startIndex, endIndex
integer(pInt), dimension(0), parameter :: emptyIntArray = [integer(pInt)::] integer, dimension(0), parameter :: emptyIntArray = [integer::]
real(pReal), dimension(0), parameter :: emptyRealArray = [real(pReal)::] real(pReal), dimension(0), parameter :: emptyRealArray = [real(pReal)::]
character(len=65536), dimension(0), parameter :: emptyStringArray = [character(len=65536)::] character(len=65536), dimension(0), parameter :: emptyStringArray = [character(len=65536)::]
@ -164,10 +164,10 @@ subroutine plastic_disloUCLA_init()
write(6,'(a)') ' https://dx.doi.org/10.1016/j.ijplas.2015.09.002' write(6,'(a)') ' https://dx.doi.org/10.1016/j.ijplas.2015.09.002'
Ninstance = int(count(phase_plasticity == PLASTICITY_DISLOUCLA_ID),pInt) Ninstance = int(count(phase_plasticity == PLASTICITY_DISLOUCLA_ID),pInt)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) & if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
allocate(plastic_disloUCLA_sizePostResult(maxval(phase_Noutput),Ninstance),source=0_pInt) allocate(plastic_disloUCLA_sizePostResult(maxval(phase_Noutput),Ninstance),source=0)
allocate(plastic_disloUCLA_output(maxval(phase_Noutput),Ninstance)) allocate(plastic_disloUCLA_output(maxval(phase_Noutput),Ninstance))
plastic_disloUCLA_output = '' plastic_disloUCLA_output = ''
@ -177,7 +177,7 @@ subroutine plastic_disloUCLA_init()
allocate(dependentState(Ninstance)) allocate(dependentState(Ninstance))
do p = 1_pInt, size(phase_plasticity) do p = 1, size(phase_plasticity)
if (phase_plasticity(p) /= PLASTICITY_DISLOUCLA_ID) cycle if (phase_plasticity(p) /= PLASTICITY_DISLOUCLA_ID) cycle
associate(prm => param(phase_plasticityInstance(p)), & associate(prm => param(phase_plasticityInstance(p)), &
dot => dotState(phase_plasticityInstance(p)), & dot => dotState(phase_plasticityInstance(p)), &
@ -198,15 +198,15 @@ subroutine plastic_disloUCLA_init()
! slip related parameters ! slip related parameters
prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray) prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray)
prm%totalNslip = sum(prm%Nslip) prm%totalNslip = sum(prm%Nslip)
slipActive: if (prm%totalNslip > 0_pInt) then slipActive: if (prm%totalNslip > 0) then
prm%Schmid = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),& prm%Schmid = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),&
config%getFloat('c/a',defaultVal=0.0_pReal)) config%getFloat('c/a',defaultVal=0.0_pReal))
if(trim(config%getString('lattice_structure')) == 'bcc') then if(trim(config%getString('lattice_structure')) == 'bcc') then
prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',& prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
defaultVal = emptyRealArray) defaultVal = emptyRealArray)
prm%nonSchmid_pos = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,+1_pInt) prm%nonSchmid_pos = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,+1)
prm%nonSchmid_neg = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,-1_pInt) prm%nonSchmid_neg = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,-1)
else else
prm%nonSchmid_pos = prm%Schmid prm%nonSchmid_pos = prm%Schmid
prm%nonSchmid_neg = prm%Schmid prm%nonSchmid_neg = prm%Schmid
@ -227,9 +227,9 @@ subroutine plastic_disloUCLA_init()
prm%clambda = config%getFloats('clambdaslip', requiredSize=size(prm%Nslip)) prm%clambda = config%getFloats('clambdaslip', requiredSize=size(prm%Nslip))
prm%tau_Peierls = config%getFloats('tau_peierls', requiredSize=size(prm%Nslip)) ! ToDo: Deprecated prm%tau_Peierls = config%getFloats('tau_peierls', requiredSize=size(prm%Nslip)) ! ToDo: Deprecated
prm%p = config%getFloats('p_slip', requiredSize=size(prm%Nslip), & prm%p = config%getFloats('p_slip', requiredSize=size(prm%Nslip), &
defaultVal=[(1.0_pReal,i=1_pInt,size(prm%Nslip))]) defaultVal=[(1.0_pReal,i=1,size(prm%Nslip))])
prm%q = config%getFloats('q_slip', requiredSize=size(prm%Nslip), & prm%q = config%getFloats('q_slip', requiredSize=size(prm%Nslip), &
defaultVal=[(1.0_pReal,i=1_pInt,size(prm%Nslip))]) defaultVal=[(1.0_pReal,i=1,size(prm%Nslip))])
prm%kink_height = config%getFloats('kink_height', requiredSize=size(prm%Nslip)) prm%kink_height = config%getFloats('kink_height', requiredSize=size(prm%Nslip))
prm%w = config%getFloats('kink_width', requiredSize=size(prm%Nslip)) prm%w = config%getFloats('kink_width', requiredSize=size(prm%Nslip))
prm%omega = config%getFloats('omega', requiredSize=size(prm%Nslip)) prm%omega = config%getFloats('omega', requiredSize=size(prm%Nslip))
@ -282,28 +282,28 @@ subroutine plastic_disloUCLA_init()
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range ! exit if any parameter is out of range
if (extmsg /= '') & if (extmsg /= '') &
call IO_error(211_pInt,ext_msg=trim(extmsg)//'('//PLASTICITY_DISLOUCLA_label//')') call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_DISLOUCLA_label//')')
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! output pararameters ! output pararameters
outputs = config%getStrings('(output)',defaultVal=emptyStringArray) outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0)) allocate(prm%outputID(0))
do i=1_pInt, size(outputs) do i=1, size(outputs)
outputID = undefined_ID outputID = undefined_ID
select case(trim(outputs(i))) select case(trim(outputs(i)))
case ('edge_density') case ('edge_density')
outputID = merge(rho_ID,undefined_ID,prm%totalNslip>0_pInt) outputID = merge(rho_ID,undefined_ID,prm%totalNslip>0)
case ('dipole_density') case ('dipole_density')
outputID = merge(rhoDip_ID,undefined_ID,prm%totalNslip>0_pInt) outputID = merge(rhoDip_ID,undefined_ID,prm%totalNslip>0)
case ('shear_rate','shearrate','shear_rate_slip','shearrate_slip') case ('shear_rate','shearrate','shear_rate_slip','shearrate_slip')
outputID = merge(shearrate_ID,undefined_ID,prm%totalNslip>0_pInt) outputID = merge(shearrate_ID,undefined_ID,prm%totalNslip>0)
case ('accumulated_shear','accumulatedshear','accumulated_shear_slip') case ('accumulated_shear','accumulatedshear','accumulated_shear_slip')
outputID = merge(accumulatedshear_ID,undefined_ID,prm%totalNslip>0_pInt) outputID = merge(accumulatedshear_ID,undefined_ID,prm%totalNslip>0)
case ('mfp','mfp_slip') case ('mfp','mfp_slip')
outputID = merge(mfp_ID,undefined_ID,prm%totalNslip>0_pInt) outputID = merge(mfp_ID,undefined_ID,prm%totalNslip>0)
case ('threshold_stress','threshold_stress_slip') case ('threshold_stress','threshold_stress_slip')
outputID = merge(thresholdstress_ID,undefined_ID,prm%totalNslip>0_pInt) outputID = merge(thresholdstress_ID,undefined_ID,prm%totalNslip>0)
end select end select
@ -318,30 +318,30 @@ subroutine plastic_disloUCLA_init()
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! allocate state arrays ! allocate state arrays
NipcMyPhase = count(material_phase == p) NipcMyPhase = count(material_phase == p)
sizeDotState = int(size(['rhoEdge ','rhoEdgeDip ','accshearslip']),pInt) * prm%totalNslip sizeDotState = size(['rhoEdge ','rhoEdgeDip ','accshearslip']) * prm%totalNslip
sizeState = sizeDotState sizeState = sizeDotState
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0_pInt, & call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0, &
prm%totalNslip,0_pInt,0_pInt) prm%totalNslip,0,0)
plasticState(p)%sizePostResults = sum(plastic_disloUCLA_sizePostResult(:,phase_plasticityInstance(p))) plasticState(p)%sizePostResults = sum(plastic_disloUCLA_sizePostResult(:,phase_plasticityInstance(p)))
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! locally defined state aliases and initialization of state0 and aTolState ! locally defined state aliases and initialization of state0 and aTolState
startIndex = 1_pInt startIndex = 1
endIndex = prm%totalNslip endIndex = prm%totalNslip
stt%rhoEdge=>plasticState(p)%state(startIndex:endIndex,:) stt%rhoEdge=>plasticState(p)%state(startIndex:endIndex,:)
stt%rhoEdge= spread(prm%rho0,2,NipcMyPhase) stt%rhoEdge= spread(prm%rho0,2,NipcMyPhase)
dot%rhoEdge=>plasticState(p)%dotState(startIndex:endIndex,:) dot%rhoEdge=>plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolRho plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolRho
startIndex = endIndex + 1_pInt startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip endIndex = endIndex + prm%totalNslip
stt%rhoEdgeDip=>plasticState(p)%state(startIndex:endIndex,:) stt%rhoEdgeDip=>plasticState(p)%state(startIndex:endIndex,:)
stt%rhoEdgeDip= spread(prm%rhoDip0,2,NipcMyPhase) stt%rhoEdgeDip= spread(prm%rhoDip0,2,NipcMyPhase)
dot%rhoEdgeDip=>plasticState(p)%dotState(startIndex:endIndex,:) dot%rhoEdgeDip=>plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolRho plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolRho
startIndex = endIndex + 1_pInt startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip endIndex = endIndex + prm%totalNslip
stt%accshear=>plasticState(p)%state(startIndex:endIndex,:) stt%accshear=>plasticState(p)%state(startIndex:endIndex,:)
dot%accshear=>plasticState(p)%dotState(startIndex:endIndex,:) dot%accshear=>plasticState(p)%dotState(startIndex:endIndex,:)
@ -378,11 +378,11 @@ pure subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp,Mp,Temperature,inst
Mp !< Mandel stress Mp !< Mandel stress
real(pReal), intent(in) :: & real(pReal), intent(in) :: &
temperature !< temperature temperature !< temperature
integer(pInt), intent(in) :: & integer, intent(in) :: &
instance, & instance, &
of of
integer(pInt) :: & integer :: &
i,k,l,m,n i,k,l,m,n
real(pReal), dimension(param(instance)%totalNslip) :: & real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_pos,gdot_neg, & gdot_pos,gdot_neg, &
@ -394,9 +394,9 @@ pure subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp,Mp,Temperature,inst
associate(prm => param(instance)) associate(prm => param(instance))
call kinetics(Mp,Temperature,instance,of,gdot_pos,gdot_neg,dgdot_dtau_pos,dgdot_dtau_neg) call kinetics(Mp,Temperature,instance,of,gdot_pos,gdot_neg,dgdot_dtau_pos,dgdot_dtau_neg)
do i = 1_pInt, prm%totalNslip do i = 1, prm%totalNslip
Lp = Lp + (gdot_pos(i)+gdot_neg(i))*prm%Schmid(1:3,1:3,i) Lp = Lp + (gdot_pos(i)+gdot_neg(i))*prm%Schmid(1:3,1:3,i)
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) & dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
+ dgdot_dtau_pos(i) * prm%Schmid(k,l,i) * prm%nonSchmid_pos(m,n,i) & + dgdot_dtau_pos(i) * prm%Schmid(k,l,i) * prm%nonSchmid_pos(m,n,i) &
+ dgdot_dtau_neg(i) * prm%Schmid(k,l,i) * prm%nonSchmid_neg(m,n,i) + dgdot_dtau_neg(i) * prm%Schmid(k,l,i) * prm%nonSchmid_neg(m,n,i)
@ -423,7 +423,7 @@ subroutine plastic_disloUCLA_dotState(Mp,Temperature,instance,of)
Mp !< Mandel stress Mp !< Mandel stress
real(pReal), intent(in) :: & real(pReal), intent(in) :: &
temperature !< temperature temperature !< temperature
integer(pInt), intent(in) :: & integer, intent(in) :: &
instance, & instance, &
of of
@ -478,16 +478,16 @@ end subroutine plastic_disloUCLA_dotState
subroutine plastic_disloUCLA_dependentState(instance,of) subroutine plastic_disloUCLA_dependentState(instance,of)
implicit none implicit none
integer(pInt), intent(in) :: & integer, intent(in) :: &
instance, & instance, &
of of
integer(pInt) :: & integer :: &
i i
associate(prm => param(instance), stt => state(instance),dst => dependentState(instance)) associate(prm => param(instance), stt => state(instance),dst => dependentState(instance))
forall (i = 1_pInt:prm%totalNslip) forall (i = 1:prm%totalNslip)
dst%dislocationSpacing(i,of) = sqrt(dot_product(stt%rhoEdge(:,of)+stt%rhoEdgeDip(:,of), & dst%dislocationSpacing(i,of) = sqrt(dot_product(stt%rhoEdge(:,of)+stt%rhoEdgeDip(:,of), &
prm%forestProjectionEdge(:,i))) prm%forestProjectionEdge(:,i)))
dst%threshold_stress(i,of) = prm%mu*prm%burgers(i) & dst%threshold_stress(i,of) = prm%mu*prm%burgers(i) &
@ -518,38 +518,38 @@ function plastic_disloUCLA_postResults(Mp,Temperature,instance,of) result(postRe
Mp !< Mandel stress Mp !< Mandel stress
real(pReal), intent(in) :: & real(pReal), intent(in) :: &
temperature !< temperature temperature !< temperature
integer(pInt), intent(in) :: & integer, intent(in) :: &
instance, & instance, &
of of
real(pReal), dimension(sum(plastic_disloUCLA_sizePostResult(:,instance))) :: & real(pReal), dimension(sum(plastic_disloUCLA_sizePostResult(:,instance))) :: &
postResults postResults
integer(pInt) :: & integer :: &
o,c,i o,c,i
real(pReal), dimension(param(instance)%totalNslip) :: & real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_pos,gdot_neg gdot_pos,gdot_neg
c = 0_pInt c = 0
associate(prm => param(instance), stt => state(instance), dst => dependentState(instance)) associate(prm => param(instance), stt => state(instance), dst => dependentState(instance))
outputsLoop: do o = 1_pInt,size(prm%outputID) outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o)) select case(prm%outputID(o))
case (rho_ID) case (rho_ID)
postResults(c+1_pInt:c+prm%totalNslip) = stt%rhoEdge(1_pInt:prm%totalNslip,of) postResults(c+1:c+prm%totalNslip) = stt%rhoEdge(1:prm%totalNslip,of)
case (rhoDip_ID) case (rhoDip_ID)
postResults(c+1_pInt:c+prm%totalNslip) = stt%rhoEdgeDip(1_pInt:prm%totalNslip,of) postResults(c+1:c+prm%totalNslip) = stt%rhoEdgeDip(1:prm%totalNslip,of)
case (shearrate_ID) case (shearrate_ID)
call kinetics(Mp,Temperature,instance,of,gdot_pos,gdot_neg) call kinetics(Mp,Temperature,instance,of,gdot_pos,gdot_neg)
postResults(c+1:c+prm%totalNslip) = gdot_pos + gdot_neg postResults(c+1:c+prm%totalNslip) = gdot_pos + gdot_neg
case (accumulatedshear_ID) case (accumulatedshear_ID)
postResults(c+1_pInt:c+prm%totalNslip) = stt%accshear(1_pInt:prm%totalNslip, of) postResults(c+1:c+prm%totalNslip) = stt%accshear(1:prm%totalNslip, of)
case (mfp_ID) case (mfp_ID)
postResults(c+1_pInt:c+prm%totalNslip) = dst%mfp(1_pInt:prm%totalNslip, of) postResults(c+1:c+prm%totalNslip) = dst%mfp(1:prm%totalNslip, of)
case (thresholdstress_ID) case (thresholdstress_ID)
postResults(c+1_pInt:c+prm%totalNslip) = dst%threshold_stress(1_pInt:prm%totalNslip,of) postResults(c+1:c+prm%totalNslip) = dst%threshold_stress(1:prm%totalNslip,of)
end select end select
@ -575,7 +575,7 @@ subroutine plastic_disloUCLA_results(instance,group)
integer :: o integer :: o
associate(prm => param(instance), stt => state(instance)) associate(prm => param(instance), stt => state(instance))
outputsLoop: do o = 1_pInt,size(prm%outputID) outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o)) select case(prm%outputID(o))
end select end select
enddo outputsLoop enddo outputsLoop
@ -609,7 +609,7 @@ pure subroutine kinetics(Mp,Temperature,instance,of, &
Mp !< Mandel stress Mp !< Mandel stress
real(pReal), intent(in) :: & real(pReal), intent(in) :: &
temperature !< temperature temperature !< temperature
integer(pInt), intent(in) :: & integer, intent(in) :: &
instance, & instance, &
of of
@ -627,11 +627,11 @@ pure subroutine kinetics(Mp,Temperature,instance,of, &
dvel, vel, & dvel, vel, &
tau_pos,tau_neg, & tau_pos,tau_neg, &
needsGoodName ! ToDo: @Karo: any idea? needsGoodName ! ToDo: @Karo: any idea?
integer(pInt) :: j integer :: j
associate(prm => param(instance), stt => state(instance), dst => dependentState(instance)) associate(prm => param(instance), stt => state(instance), dst => dependentState(instance))
do j = 1_pInt, prm%totalNslip do j = 1, prm%totalNslip
tau_pos(j) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,j)) tau_pos(j) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,j))
tau_neg(j) = math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,j)) tau_neg(j) = math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,j))
enddo enddo