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introduced pointers as names. thx to Chuanlai for doing the work

This commit is contained in:
Martin Diehl 2016-01-15 15:26:24 +00:00
parent 117c8edfbd
commit 208196d213
1 changed files with 205 additions and 124 deletions
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329
code/plastic_disloUCLA.f90
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@ -138,8 +138,28 @@ module plastic_disloUCLA
end enum end enum
integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: & integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: &
plastic_disloUCLA_outputID !< ID of each post result output plastic_disloUCLA_outputID !< ID of each post result output
type, private :: tDisloUCLAState
real(pReal), pointer, dimension(:,:) :: &
rhoEdge, &
rhoEdgeDip, &
accshear_slip, &
twinFraction, &
accshear_twin, &
invLambdaSlip, &
invLambdaSlipTwin, &
invLambdaTwin, &
mfp_slip, &
mfp_twin, &
threshold_stress_slip, &
threshold_stress_twin, &
twinVolume
end type
type(tDisloUCLAState ), allocatable, dimension(:), private :: &
state, &
state0, &
dotState
public :: & public :: &
plastic_disloUCLA_init, & plastic_disloUCLA_init, &
plastic_disloUCLA_homogenizedC, & plastic_disloUCLA_homogenizedC, &
@ -205,7 +225,8 @@ subroutine plastic_disloUCLA_init(fileUnit)
Nchunks_SlipSlip = 0_pInt, Nchunks_SlipTwin = 0_pInt, & Nchunks_SlipSlip = 0_pInt, Nchunks_SlipTwin = 0_pInt, &
Nchunks_TwinSlip = 0_pInt, Nchunks_TwinTwin = 0_pInt, & Nchunks_TwinSlip = 0_pInt, Nchunks_TwinTwin = 0_pInt, &
Nchunks_SlipFamilies = 0_pInt, Nchunks_TwinFamilies = 0_pInt, Nchunks_nonSchmid = 0_pInt, & Nchunks_SlipFamilies = 0_pInt, Nchunks_TwinFamilies = 0_pInt, Nchunks_nonSchmid = 0_pInt, &
offset_slip, index_myFamily, index_otherFamily offset_slip, index_myFamily, index_otherFamily, &
startIndex, endIndex
integer(pInt) :: sizeState, sizeDotState, sizeDeltaState integer(pInt) :: sizeState, sizeDotState, sizeDeltaState
integer(pInt) :: NofMyPhase integer(pInt) :: NofMyPhase
character(len=65536) :: & character(len=65536) :: &
@ -633,6 +654,10 @@ subroutine plastic_disloUCLA_init(fileUnit)
source=0.0_pReal) source=0.0_pReal)
allocate(plastic_disloUCLA_Ctwin66(6,6,maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(plastic_disloUCLA_Ctwin66(6,6,maxTotalNtwin,maxNinstance), source=0.0_pReal)
allocate(plastic_disloUCLA_Ctwin3333(3,3,3,3,maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(plastic_disloUCLA_Ctwin3333(3,3,3,3,maxTotalNtwin,maxNinstance), source=0.0_pReal)
allocate(state(maxNinstance))
allocate(state0(maxNinstance))
allocate(dotState(maxNinstance))
initializeInstances: do phase = 1_pInt, size(phase_plasticity) initializeInstances: do phase = 1_pInt, size(phase_plasticity)
myPhase2: if (phase_plasticity(phase) == PLASTICITY_disloUCLA_ID) then myPhase2: if (phase_plasticity(phase) == PLASTICITY_disloUCLA_ID) then
@ -823,7 +848,78 @@ subroutine plastic_disloUCLA_init(fileUnit)
enddo otherTwinSystems2; enddo otherTwinFamilies2 enddo otherTwinSystems2; enddo otherTwinFamilies2
enddo myTwinSystems enddo myTwinSystems
enddo myTwinFamilies enddo myTwinFamilies
startIndex=1_pInt
endIndex=ns
state(instance)%rhoEdge=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%rhoEdge=>plasticState(phase)%state0(startIndex:endIndex,:)
dotState(instance)%rhoEdge=>plasticState(phase)%dotState(startIndex:endIndex,:)
startIndex=endIndex+1_pInt
endIndex=endIndex+ns
state(instance)%rhoEdgeDip=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%rhoEdgeDip=>plasticState(phase)%state0(startIndex:endIndex,:)
dotState(instance)%rhoEdgeDip=>plasticState(phase)%dotState(startIndex:endIndex,:)
startIndex=endIndex+1_pInt
endIndex=endIndex+ns
state(instance)%accshear_slip=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%accshear_slip=>plasticState(phase)%state0(startIndex:endIndex,:)
dotState(instance)%accshear_slip=>plasticState(phase)%dotState(startIndex:endIndex,:)
startIndex=endIndex+1_pInt
endIndex=endIndex+nt
state(instance)%twinFraction=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%twinFraction=>plasticState(phase)%state0(startIndex:endIndex,:)
dotState(instance)%twinFraction=>plasticState(phase)%dotState(startIndex:endIndex,:)
startIndex=endIndex+1_pInt
endIndex=endIndex+nt
state(instance)%accshear_twin=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%accshear_twin=>plasticState(phase)%state0(startIndex:endIndex,:)
dotState(instance)%accshear_twin=>plasticState(phase)%dotState(startIndex:endIndex,:)
startIndex=endIndex+1_pInt
endIndex=endIndex+ns
state(instance)%invLambdaSlip=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%invLambdaSlip=>plasticState(phase)%state0(startIndex:endIndex,:)
startIndex=endIndex+1
endIndex=endIndex+ns
state(instance)%invLambdaSlipTwin=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%invLambdaSlipTwin=>plasticState(phase)%state0(startIndex:endIndex,:)
startIndex=endIndex+1
endIndex=endIndex+nt
state(instance)%invLambdaTwin=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%invLambdaTwin=>plasticState(phase)%state0(startIndex:endIndex,:)
startIndex=endIndex+1
endIndex=endIndex+ns
state(instance)%mfp_slip=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%mfp_slip=>plasticState(phase)%state0(startIndex:endIndex,:)
startIndex=endIndex+1
endIndex=endIndex+nt
state(instance)%mfp_twin=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%mfp_twin=>plasticState(phase)%state0(startIndex:endIndex,:)
startIndex=endIndex+1
endIndex=endIndex+ns
state(instance)%threshold_stress_slip=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%threshold_stress_slip=>plasticState(phase)%state0(startIndex:endIndex,:)
startIndex=endIndex+1
endIndex=endIndex+nt
state(instance)%threshold_stress_twin=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%threshold_stress_twin=>plasticState(phase)%state0(startIndex:endIndex,:)
startIndex=endIndex+1
endIndex=endIndex+nt
state(instance)%twinVolume=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%twinVolume=>plasticState(phase)%state0(startIndex:endIndex,:)
call plastic_disloUCLA_stateInit(phase,instance) call plastic_disloUCLA_stateInit(phase,instance)
call plastic_disloUCLA_aTolState(phase,instance) call plastic_disloUCLA_aTolState(phase,instance)
endif myPhase2 endif myPhase2
@ -983,12 +1079,12 @@ function plastic_disloUCLA_homogenizedC(ipc,ip,el)
nt = plastic_disloUCLA_totalNtwin(instance) nt = plastic_disloUCLA_totalNtwin(instance)
!* Total twin volume fraction !* Total twin volume fraction
sumf = sum(plasticState(ph)%state((3_pInt*ns+1_pInt):(3_pInt*ns+nt),of)) ! safe for nt == 0 sumf = sum(state(instance)%twinFraction(1_pInt:nt,of)) ! safe for nt == 0
!* Homogenized elasticity matrix !* Homogenized elasticity matrix
plastic_disloUCLA_homogenizedC = (1.0_pReal-sumf)*lattice_C66(1:6,1:6,ph) plastic_disloUCLA_homogenizedC = (1.0_pReal-sumf)*lattice_C66(1:6,1:6,ph)
do i=1_pInt,nt do i=1_pInt,nt
plastic_disloUCLA_homogenizedC = plastic_disloUCLA_homogenizedC & plastic_disloUCLA_homogenizedC = plastic_disloUCLA_homogenizedC &
+ plasticState(ph)%state(3_pInt*ns+i, of)*plastic_disloUCLA_Ctwin66(1:6,1:6,i,instance) + state(instance)%twinFraction(i,of)*plastic_disloUCLA_Ctwin66(1:6,1:6,i,instance)
enddo enddo
end function plastic_disloUCLA_homogenizedC end function plastic_disloUCLA_homogenizedC
@ -1002,7 +1098,6 @@ subroutine plastic_disloUCLA_microstructure(temperature,ipc,ip,el)
use material, only: & use material, only: &
material_phase, & material_phase, &
phase_plasticityInstance, & phase_plasticityInstance, &
plasticState, &
phaseAt, phasememberAt phaseAt, phasememberAt
use lattice, only: & use lattice, only: &
lattice_mu, & lattice_mu, &
@ -1031,22 +1126,9 @@ subroutine plastic_disloUCLA_microstructure(temperature,ipc,ip,el)
instance = phase_plasticityInstance(ph) instance = phase_plasticityInstance(ph)
ns = plastic_disloUCLA_totalNslip(instance) ns = plastic_disloUCLA_totalNslip(instance)
nt = plastic_disloUCLA_totalNtwin(instance) nt = plastic_disloUCLA_totalNtwin(instance)
!* State: 1 : ns rho_edge
!* State: ns+1 : 2*ns rho_dipole
!* State: 2*ns+1 : 3*ns accumulated shear due to slip
!* State: 3*ns+1 : 3*ns+nt f
!* State: 3*ns+nt+1 : 3*ns+2*nt accumulated shear due to twin
!* State: 3*ns+2*nt+1 : 4*ns+2*nt 1/lambda_slip
!* State: 4*ns+2*nt+1 : 5*ns+2*nt 1/lambda_sliptwin
!* State: 5*ns+2*nt+1 : 5*ns+3*nt 1/lambda_twin
!* State: 5*ns+3*nt+1 : 6*ns+3*nt mfp_slip
!* State: 6*ns+3*nt+1 : 6*ns+4*nt mfp_twin
!* State: 6*ns+4*nt+1 : 7*ns+4*nt threshold_stress_slip
!* State: 7*ns+4*nt+1 : 7*ns+5*nt threshold_stress_twin
!* State: 7*ns+5*nt+1 : 7*ns+6*nt twin volume
!* Total twin volume fraction !* Total twin volume fraction
sumf = sum(plasticState(ph)%state((3*ns+1):(3*ns+nt), of)) ! safe for nt == 0 sumf = sum(state(instance)%twinFraction(1_pInt:nt,of)) ! safe for nt == 0
!* Stacking fault energy !* Stacking fault energy
sfe = plastic_disloUCLA_SFE_0K(instance) + & sfe = plastic_disloUCLA_SFE_0K(instance) + &
@ -1055,58 +1137,58 @@ subroutine plastic_disloUCLA_microstructure(temperature,ipc,ip,el)
!* rescaled twin volume fraction for topology !* rescaled twin volume fraction for topology
forall (t = 1_pInt:nt) & forall (t = 1_pInt:nt) &
fOverStacksize(t) = & fOverStacksize(t) = &
plasticState(ph)%state(3_pInt*ns+t, of)/plastic_disloUCLA_twinsizePerTwinSystem(t,instance) state(instance)%twinFraction(t,of)/plastic_disloUCLA_twinsizePerTwinSystem(t,instance)
!* 1/mean free distance between 2 forest dislocations seen by a moving dislocation !* 1/mean free distance between 2 forest dislocations seen by a moving dislocation
forall (s = 1_pInt:ns) & forall (s = 1_pInt:ns) &
plasticState(ph)%state(3_pInt*ns+2_pInt*nt+s, of) = & state(instance)%invLambdaSlip(s,of) = &
sqrt(dot_product((plasticState(ph)%state(1:ns,of)+plasticState(ph)%state(ns+1_pInt:2_pInt*ns,of)),& sqrt(dot_product((state(instance)%rhoEdge(1_pInt:ns,of)+state(instance)%rhoEdgeDip(1_pInt:ns,of)),&
plastic_disloUCLA_forestProjectionEdge(1:ns,s,instance)))/ & plastic_disloUCLA_forestProjectionEdge(1:ns,s,instance)))/ &
plastic_disloUCLA_CLambdaSlipPerSlipSystem(s,instance) plastic_disloUCLA_CLambdaSlipPerSlipSystem(s,instance)
!* 1/mean free distance between 2 twin stacks from different systems seen by a moving dislocation !* 1/mean free distance between 2 twin stacks from different systems seen by a moving dislocation
!$OMP CRITICAL (evilmatmul) !$OMP CRITICAL (evilmatmul)
plasticState(ph)%state((4_pInt*ns+2_pInt*nt+1_pInt):(5_pInt*ns+2_pInt*nt), of) = 0.0_pReal state(instance)%invLambdaSlipTwin(1_pInt:ns,of) = 0.0_pReal
if (nt > 0_pInt .and. ns > 0_pInt) & if (nt > 0_pInt .and. ns > 0_pInt) &
plasticState(ph)%state((4_pInt*ns+2_pInt*nt+1):(5_pInt*ns+2_pInt*nt), of) = & state(instance)%invLambdaSlipTwin(1_pInt:ns,of) = &
matmul(plastic_disloUCLA_interactionMatrix_SlipTwin(1:ns,1:nt,instance),fOverStacksize(1:nt))/(1.0_pReal-sumf) matmul(plastic_disloUCLA_interactionMatrix_SlipTwin(1:ns,1:nt,instance),fOverStacksize(1:nt))/(1.0_pReal-sumf)
!$OMP END CRITICAL (evilmatmul) !$OMP END CRITICAL (evilmatmul)
!* 1/mean free distance between 2 twin stacks from different systems seen by a growing twin !* 1/mean free distance between 2 twin stacks from different systems seen by a growing twin
!$OMP CRITICAL (evilmatmul) !$OMP CRITICAL (evilmatmul)
if (nt > 0_pInt) & if (nt > 0_pInt) &
plasticState(ph)%state((5_pInt*ns+2_pInt*nt+1_pInt):(5_pInt*ns+3_pInt*nt), of) = & state(instance)%invLambdaTwin(1_pInt:nt,of) = &
matmul(plastic_disloUCLA_interactionMatrix_TwinTwin(1:nt,1:nt,instance),fOverStacksize(1:nt))/(1.0_pReal-sumf) matmul(plastic_disloUCLA_interactionMatrix_TwinTwin(1:nt,1:nt,instance),fOverStacksize(1:nt))/(1.0_pReal-sumf)
!$OMP END CRITICAL (evilmatmul) !$OMP END CRITICAL (evilmatmul)
!* mean free path between 2 obstacles seen by a moving dislocation !* mean free path between 2 obstacles seen by a moving dislocation
do s = 1_pInt,ns do s = 1_pInt,ns
if (nt > 0_pInt) then if (nt > 0_pInt) then
plasticState(ph)%state(5_pInt*ns+3_pInt*nt+s, of) = & state(instance)%mfp_slip(s,of) = &
plastic_disloUCLA_GrainSize(instance)/(1.0_pReal+plastic_disloUCLA_GrainSize(instance)*& plastic_disloUCLA_GrainSize(instance)/(1.0_pReal+plastic_disloUCLA_GrainSize(instance)*&
(plasticState(ph)%state(3_pInt*ns+2_pInt*nt+s, of)+plasticState(ph)%state(4_pInt*ns+2_pInt*nt+s, of))) (state(instance)%invLambdaSlip(s,of)+state(instance)%invLambdaSlipTwin(s,of)))
else else
plasticState(ph)%state(5_pInt*ns+s, of) = & state(instance)%mfp_slip(s,of) = &
plastic_disloUCLA_GrainSize(instance)/& plastic_disloUCLA_GrainSize(instance)/&
(1.0_pReal+plastic_disloUCLA_GrainSize(instance)*(plasticState(ph)%state(3_pInt*ns+s, of))) (1.0_pReal+plastic_disloUCLA_GrainSize(instance)*(state(instance)%invLambdaSlip(s,of)))
endif endif
enddo enddo
!* mean free path between 2 obstacles seen by a growing twin !* mean free path between 2 obstacles seen by a growing twin
forall (t = 1_pInt:nt) & forall (t = 1_pInt:nt) &
plasticState(ph)%state(6_pInt*ns+3_pInt*nt+t, of) = & state(instance)%mfp_twin(t,of) = &
(plastic_disloUCLA_Cmfptwin(instance)*plastic_disloUCLA_GrainSize(instance))/& (plastic_disloUCLA_Cmfptwin(instance)*plastic_disloUCLA_GrainSize(instance))/&
(1.0_pReal+plastic_disloUCLA_GrainSize(instance)*plasticState(ph)%state(5_pInt*ns+2_pInt*nt+t, of)) (1.0_pReal+plastic_disloUCLA_GrainSize(instance)*state(instance)%invLambdaTwin(t,of))
!* threshold stress for dislocation motion !* threshold stress for dislocation motion
forall (s = 1_pInt:ns) & forall (s = 1_pInt:ns) &
plasticState(ph)%state(6_pInt*ns+4_pInt*nt+s, of) = & state(instance)%threshold_stress_slip(s,of) = &
lattice_mu(ph)*plastic_disloUCLA_burgersPerSlipSystem(s,instance)*& lattice_mu(ph)*plastic_disloUCLA_burgersPerSlipSystem(s,instance)*&
sqrt(dot_product((plasticState(ph)%state(1:ns, of)+plasticState(ph)%state(ns+1_pInt:2_pInt*ns, of)),& sqrt(dot_product((state(instance)%rhoEdge(1_pInt:ns,of)+state(instance)%rhoEdgeDip(1_pInt:ns,of)),&
plastic_disloUCLA_interactionMatrix_SlipSlip(s,1:ns,instance))) plastic_disloUCLA_interactionMatrix_SlipSlip(s,1:ns,instance)))
!* threshold stress for growing twin !* threshold stress for growing twin
forall (t = 1_pInt:nt) & forall (t = 1_pInt:nt) &
plasticState(ph)%state(7_pInt*ns+4_pInt*nt+t, of) = & state(instance)%threshold_stress_twin(t,of) = &
plastic_disloUCLA_Cthresholdtwin(instance)*& plastic_disloUCLA_Cthresholdtwin(instance)*&
(sfe/(3.0_pReal*plastic_disloUCLA_burgersPerTwinSystem(t,instance))+& (sfe/(3.0_pReal*plastic_disloUCLA_burgersPerTwinSystem(t,instance))+&
3.0_pReal*plastic_disloUCLA_burgersPerTwinSystem(t,instance)*lattice_mu(ph)/& 3.0_pReal*plastic_disloUCLA_burgersPerTwinSystem(t,instance)*lattice_mu(ph)/&
@ -1114,8 +1196,8 @@ subroutine plastic_disloUCLA_microstructure(temperature,ipc,ip,el)
!* final twin volume after growth !* final twin volume after growth
forall (t = 1_pInt:nt) & forall (t = 1_pInt:nt) &
plasticState(ph)%state(7_pInt*ns+5_pInt*nt+t, of) = & state(instance)%twinVolume(t,of) = &
(pi/4.0_pReal)*plastic_disloUCLA_twinsizePerTwinSystem(t,instance)*plasticState(ph)%state(6*ns+3*nt+t, of)**(2.0_pReal) (pi/4.0_pReal)*plastic_disloUCLA_twinsizePerTwinSystem(t,instance)*state(instance)%mfp_twin(t,of)**(2.0_pReal)
!* equilibrium seperation of partial dislocations !* equilibrium seperation of partial dislocations
do t = 1_pInt,nt do t = 1_pInt,nt
@ -1145,7 +1227,7 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
use material, only: & use material, only: &
material_phase, & material_phase, &
phase_plasticityInstance, & phase_plasticityInstance, &
plasticState, & !plasticState, &
phaseAt, phasememberAt phaseAt, phasememberAt
use lattice, only: & use lattice, only: &
lattice_Sslip, & lattice_Sslip, &
@ -1206,7 +1288,7 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
BoltzmannRatio = plastic_disloUCLA_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = plastic_disloUCLA_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates !* Initial shear rates
DotGamma0 = & DotGamma0 = &
plasticState(ph)%state(j, of)*plastic_disloUCLA_burgersPerSlipSystem(j,instance)*& state(instance)%rhoEdge(j,of)*plastic_disloUCLA_burgersPerSlipSystem(j,instance)*&
plastic_disloUCLA_v0PerSlipSystem(j,instance) plastic_disloUCLA_v0PerSlipSystem(j,instance)
!* Resolved shear stress on slip system !* Resolved shear stress on slip system
tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,ph)) tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,ph))
@ -1224,9 +1306,9 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
lattice_Sslip(1:3,1:3,2*k+1,index_myFamily+i,ph) lattice_Sslip(1:3,1:3,2*k+1,index_myFamily+i,ph)
enddo nonSchmidSystems enddo nonSchmidSystems
significantPostitiveStress: if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then significantPostitiveStress: if((abs(tau_slip_pos)-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
!* Stress ratio !* Stress ratio
stressRatio = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/& stressRatio = ((abs(tau_slip_pos)-state(instance)%threshold_stress_slip(j,of))/&
(plastic_disloUCLA_SolidSolutionStrength(instance)+& (plastic_disloUCLA_SolidSolutionStrength(instance)+&
plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))) plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance)))
stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance) stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance)
@ -1234,13 +1316,13 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
!* Shear rates due to slip !* Shear rates due to slip
vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) & vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) & * plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
* ( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) & * ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
* (tau_slip_pos & * (tau_slip_pos &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
/ ( & / ( &
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos & 2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
) )
@ -1252,7 +1334,7 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
dvel_slip = & dvel_slip = &
2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) & 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) & * plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
* ( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) & * ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
* ( & * ( &
(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & (exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
+ tau_slip_pos & + tau_slip_pos &
@ -1264,14 +1346,14 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
) & ) &
* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos & * (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
) & ) &
- (tau_slip_pos & - (tau_slip_pos &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal) & * (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal) &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i) * (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i)
*BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)& *BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)&
*plastic_disloUCLA_qPerSlipFamily(f,instance)/& *plastic_disloUCLA_qPerSlipFamily(f,instance)/&
@ -1283,16 +1365,16 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
( & ( &
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos & 2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
)**2.0_pReal & )**2.0_pReal &
) )
dgdot_dtauslip_pos = DotGamma0 * dvel_slip dgdot_dtauslip_pos = DotGamma0 * dvel_slip
endif significantPostitiveStress endif significantPostitiveStress
significantNegativeStress: if((abs(tau_slip_neg)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then significantNegativeStress: if((abs(tau_slip_neg)-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
!* Stress ratio !* Stress ratio
stressRatio = ((abs(tau_slip_neg)-plasticState(ph)%state(6*ns+4*nt+j, of))/& stressRatio = ((abs(tau_slip_neg)-state(instance)%threshold_stress_slip(j,of))/&
(plastic_disloUCLA_SolidSolutionStrength(instance)+& (plastic_disloUCLA_SolidSolutionStrength(instance)+&
plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))) plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance)))
stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance) stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance)
@ -1300,13 +1382,13 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
!* Shear rates due to slip !* Shear rates due to slip
vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) & vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) & * plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
* ( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) & * ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
* (tau_slip_neg & * (tau_slip_neg &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
/ ( & / ( &
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg & 2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
) )
@ -1318,7 +1400,7 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
dvel_slip = & dvel_slip = &
2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) & 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) & * plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
* ( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) & * ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
* ( & * ( &
(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & (exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
+ tau_slip_neg & + tau_slip_neg &
@ -1330,14 +1412,14 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
) & ) &
* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg & * (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
) & ) &
- (tau_slip_neg & - (tau_slip_neg &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal) & * (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal) &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i) * (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i)
*BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)& *BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)&
*plastic_disloUCLA_qPerSlipFamily(f,instance)/& *plastic_disloUCLA_qPerSlipFamily(f,instance)/&
@ -1349,7 +1431,7 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
( & ( &
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg & 2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
)**2.0_pReal & )**2.0_pReal &
) )
@ -1371,7 +1453,7 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! correct Lp and dLp_dTstar3333 for twinned fraction ! correct Lp and dLp_dTstar3333 for twinned fraction
!* Total twin volume fraction !* Total twin volume fraction
sumf = sum(plasticState(ph)%state((3_pInt*ns+1_pInt):(3_pInt*ns+nt), of)) ! safe for nt == 0 sumf = sum(state(instance)%twinFraction(1_pInt:nt,of)) ! safe for nt == 0
Lp = Lp * (1.0_pReal - sumf) Lp = Lp * (1.0_pReal - sumf)
dLp_dTstar3333 = dLp_dTstar3333 * (1.0_pReal - sumf) dLp_dTstar3333 = dLp_dTstar3333 * (1.0_pReal - sumf)
@ -1389,15 +1471,15 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
!* Stress ratios !* Stress ratios
if (tau_twin > tol_math_check) then if (tau_twin > tol_math_check) then
StressRatio_r = (plasticState(ph)%state(7*ns+4*nt+j, of)/tau_twin)**plastic_disloUCLA_rPerTwinFamily(f,instance) StressRatio_r = (state(instance)%threshold_stress_twin(j,of)/tau_twin)**plastic_disloUCLA_rPerTwinFamily(f,instance)
!* Shear rates and their derivatives due to twin !* Shear rates and their derivatives due to twin
select case(lattice_structure(ph)) select case(lattice_structure(ph))
case (LATTICE_fcc_ID) case (LATTICE_fcc_ID)
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i) s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i) s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
if (tau_twin < plastic_disloUCLA_tau_r(j,instance)) then if (tau_twin < plastic_disloUCLA_tau_r(j,instance)) then
Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2,of)+plasticState(ph)%state(ns+s2, of))+& !no non-Schmid behavior for fcc, just take the not influenced positive gdot_slip_pos (= gdot_slip_neg) Ndot0=(abs(gdot_slip_pos(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+& !no non-Schmid behavior for fcc, just take the not influenced positive gdot_slip_pos (= gdot_slip_neg)
abs(gdot_slip_pos(s2))*(plasticState(ph)%state(s1,of)+plasticState(ph)%state(ns+s1, of)))/& abs(gdot_slip_pos(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
(plastic_disloUCLA_L0(instance)*plastic_disloUCLA_burgersPerSlipSystem(j,instance))*& (plastic_disloUCLA_L0(instance)*plastic_disloUCLA_burgersPerSlipSystem(j,instance))*&
(1.0_pReal-exp(-plastic_disloUCLA_VcrossSlip(instance)/(kB*Temperature)*& (1.0_pReal-exp(-plastic_disloUCLA_VcrossSlip(instance)/(kB*Temperature)*&
(plastic_disloUCLA_tau_r(j,instance)-tau_twin))) (plastic_disloUCLA_tau_r(j,instance)-tau_twin)))
@ -1409,7 +1491,7 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
end select end select
gdot_twin = & gdot_twin = &
(plastic_disloUCLA_MaxTwinFraction(instance)-sumf)*lattice_shearTwin(index_myFamily+i,ph)*& (plastic_disloUCLA_MaxTwinFraction(instance)-sumf)*lattice_shearTwin(index_myFamily+i,ph)*&
plasticState(ph)%state(7*ns+5*nt+j, of)*Ndot0*exp(-StressRatio_r) state(instance)%twinVolume(j,of)*Ndot0*exp(-StressRatio_r)
dgdot_dtautwin = ((gdot_twin*plastic_disloUCLA_rPerTwinFamily(f,instance))/tau_twin)*StressRatio_r dgdot_dtautwin = ((gdot_twin*plastic_disloUCLA_rPerTwinFamily(f,instance))/tau_twin)*StressRatio_r
endif endif
@ -1504,7 +1586,7 @@ subroutine plastic_disloUCLA_dotState(Tstar_v,Temperature,ipc,ip,el)
nt = plastic_disloUCLA_totalNtwin(instance) nt = plastic_disloUCLA_totalNtwin(instance)
!* Total twin volume fraction !* Total twin volume fraction
sumf = sum(plasticState(ph)%state((3_pInt*ns+1_pInt):(3_pInt*ns+nt), of)) ! safe for nt == 0 sumf = sum(state(instance)%twinFraction(1_pInt:nt,of)) ! safe for nt == 0
plasticState(ph)%dotState(:,of) = 0.0_pReal plasticState(ph)%dotState(:,of) = 0.0_pReal
!* Dislocation density evolution !* Dislocation density evolution
@ -1519,7 +1601,7 @@ subroutine plastic_disloUCLA_dotState(Tstar_v,Temperature,ipc,ip,el)
BoltzmannRatio = plastic_disloUCLA_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = plastic_disloUCLA_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates !* Initial shear rates
DotGamma0 = & DotGamma0 = &
plasticState(ph)%state(j, of)*plastic_disloUCLA_burgersPerSlipSystem(j,instance)*& state(instance)%rhoEdge(j,of)*plastic_disloUCLA_burgersPerSlipSystem(j,instance)*&
plastic_disloUCLA_v0PerSlipSystem(j,instance) plastic_disloUCLA_v0PerSlipSystem(j,instance)
!* Resolved shear stress on slip system !* Resolved shear stress on slip system
tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,ph)) tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,ph))
@ -1532,22 +1614,22 @@ subroutine plastic_disloUCLA_dotState(Tstar_v,Temperature,ipc,ip,el)
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,ph)) dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,ph))
enddo nonSchmidSystems enddo nonSchmidSystems
significantPositiveStress: if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then significantPositiveStress: if((abs(tau_slip_pos)-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
!* Stress ratios !* Stress ratios
stressRatio = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/& stressRatio = ((abs(tau_slip_pos)-state(instance)%threshold_stress_slip(j,of))/&
(plastic_disloUCLA_SolidSolutionStrength(instance)+& (plastic_disloUCLA_SolidSolutionStrength(instance)+&
plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))) plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance)))
stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance) stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance)
!* Shear rates due to slip !* Shear rates due to slip
vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) & vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) & * plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
* ( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) & * ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
* (tau_slip_pos & * (tau_slip_pos &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
/ ( & / ( &
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos & 2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
) )
@ -1555,22 +1637,22 @@ subroutine plastic_disloUCLA_dotState(Tstar_v,Temperature,ipc,ip,el)
* vel_slip & * vel_slip &
* sign(1.0_pReal,tau_slip_pos) * sign(1.0_pReal,tau_slip_pos)
endif significantPositiveStress endif significantPositiveStress
significantNegativeStress: if((abs(tau_slip_neg)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then significantNegativeStress: if((abs(tau_slip_neg)-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
!* Stress ratios !* Stress ratios
stressRatio = ((abs(tau_slip_neg)-plasticState(ph)%state(6*ns+4*nt+j, of))/& stressRatio = ((abs(tau_slip_neg)-state(instance)%threshold_stress_slip(j,of))/&
(plastic_disloUCLA_SolidSolutionStrength(instance)+& (plastic_disloUCLA_SolidSolutionStrength(instance)+&
plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))) plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance)))
stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance) stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance)
vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) & vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) & * plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
* ( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) & * ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
* (tau_slip_neg & * (tau_slip_neg &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
/ ( & / ( &
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg & 2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
) )
@ -1582,7 +1664,7 @@ subroutine plastic_disloUCLA_dotState(Tstar_v,Temperature,ipc,ip,el)
!* Multiplication !* Multiplication
DotRhoMultiplication = abs(gdot_slip)/& DotRhoMultiplication = abs(gdot_slip)/&
(plastic_disloUCLA_burgersPerSlipSystem(j,instance)* & (plastic_disloUCLA_burgersPerSlipSystem(j,instance)* &
plasticState(ph)%state(5*ns+3*nt+j, of)) state(instance)%mfp_slip(j,of))
!* Dipole formation !* Dipole formation
EdgeDipMinDistance = & EdgeDipMinDistance = &
@ -1593,22 +1675,22 @@ subroutine plastic_disloUCLA_dotState(Tstar_v,Temperature,ipc,ip,el)
EdgeDipDistance = & EdgeDipDistance = &
(3.0_pReal*lattice_mu(ph)*plastic_disloUCLA_burgersPerSlipSystem(j,instance))/& (3.0_pReal*lattice_mu(ph)*plastic_disloUCLA_burgersPerSlipSystem(j,instance))/&
(16.0_pReal*pi*abs(tau_slip_pos)) (16.0_pReal*pi*abs(tau_slip_pos))
if (EdgeDipDistance>plasticState(ph)%state(5*ns+3*nt+j, of)) EdgeDipDistance=plasticState(ph)%state(5*ns+3*nt+j, of) if (EdgeDipDistance>state(instance)%mfp_slip(j,of)) EdgeDipDistance=state(instance)%mfp_slip(j,of)
if (EdgeDipDistance<EdgeDipMinDistance) EdgeDipDistance=EdgeDipMinDistance if (EdgeDipDistance<EdgeDipMinDistance) EdgeDipDistance=EdgeDipMinDistance
DotRhoDipFormation = & DotRhoDipFormation = &
((2.0_pReal*EdgeDipDistance)/plastic_disloUCLA_burgersPerSlipSystem(j,instance))*& ((2.0_pReal*EdgeDipDistance)/plastic_disloUCLA_burgersPerSlipSystem(j,instance))*&
plasticState(ph)%state(j, of)*abs(gdot_slip)*plastic_disloUCLA_dipoleFormationFactor(instance) state(instance)%rhoEdge(j,of)*abs(gdot_slip)*plastic_disloUCLA_dipoleFormationFactor(instance)
endif endif
!* Spontaneous annihilation of 2 single edge dislocations !* Spontaneous annihilation of 2 single edge dislocations
DotRhoEdgeEdgeAnnihilation = & DotRhoEdgeEdgeAnnihilation = &
((2.0_pReal*EdgeDipMinDistance)/plastic_disloUCLA_burgersPerSlipSystem(j,instance))*& ((2.0_pReal*EdgeDipMinDistance)/plastic_disloUCLA_burgersPerSlipSystem(j,instance))*&
plasticState(ph)%state(j, of)*abs(gdot_slip) state(instance)%rhoEdge(j,of)*abs(gdot_slip)
!* Spontaneous annihilation of a single edge dislocation with a dipole constituent !* Spontaneous annihilation of a single edge dislocation with a dipole constituent
DotRhoEdgeDipAnnihilation = & DotRhoEdgeDipAnnihilation = &
((2.0_pReal*EdgeDipMinDistance)/plastic_disloUCLA_burgersPerSlipSystem(j,instance))*& ((2.0_pReal*EdgeDipMinDistance)/plastic_disloUCLA_burgersPerSlipSystem(j,instance))*&
plasticState(ph)%state(ns+j, of)*abs(gdot_slip) state(instance)%rhoEdgeDip(j,of)*abs(gdot_slip)
!* Dislocation dipole climb !* Dislocation dipole climb
AtomicVolume = & AtomicVolume = &
@ -1622,19 +1704,19 @@ subroutine plastic_disloUCLA_dotState(Tstar_v,Temperature,ipc,ip,el)
((3.0_pReal*lattice_mu(ph)*VacancyDiffusion*AtomicVolume)/(2.0_pReal*pi*kB*Temperature))*& ((3.0_pReal*lattice_mu(ph)*VacancyDiffusion*AtomicVolume)/(2.0_pReal*pi*kB*Temperature))*&
(1/(EdgeDipDistance+EdgeDipMinDistance)) (1/(EdgeDipDistance+EdgeDipMinDistance))
DotRhoEdgeDipClimb = & DotRhoEdgeDipClimb = &
(4.0_pReal*ClimbVelocity*plasticState(ph)%state(ns+j, of))/(EdgeDipDistance-EdgeDipMinDistance) (4.0_pReal*ClimbVelocity*state(instance)%rhoEdgeDip(j,of))/(EdgeDipDistance-EdgeDipMinDistance)
endif endif
!* Edge dislocation density rate of change !* Edge dislocation density rate of change
plasticState(ph)%dotState(j, of) = & dotState(instance)%rhoEdge(j,of) = &
DotRhoMultiplication-DotRhoDipFormation-DotRhoEdgeEdgeAnnihilation DotRhoMultiplication-DotRhoDipFormation-DotRhoEdgeEdgeAnnihilation
!* Edge dislocation dipole density rate of change !* Edge dislocation dipole density rate of change
plasticState(ph)%dotState(ns+j, of) = & dotState(instance)%rhoEdgeDip(j,of) = &
DotRhoDipFormation-DotRhoEdgeDipAnnihilation-DotRhoEdgeDipClimb DotRhoDipFormation-DotRhoEdgeDipAnnihilation-DotRhoEdgeDipClimb
!* Dotstate for accumulated shear due to slip !* Dotstate for accumulated shear due to slip
plasticState(ph)%dotState(2_pInt*ns+j, of) = gdot_slip dotState(instance)%accshear_slip(j,of) = gdot_slip
enddo slipSystems enddo slipSystems
enddo slipFamilies enddo slipFamilies
@ -1649,7 +1731,7 @@ subroutine plastic_disloUCLA_dotState(Tstar_v,Temperature,ipc,ip,el)
tau_twin = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,ph)) tau_twin = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,ph))
!* Stress ratios !* Stress ratios
if (tau_twin > tol_math_check) then if (tau_twin > tol_math_check) then
StressRatio_r = (plasticState(ph)%state(7*ns+4*nt+j, of)/tau_twin)**plastic_disloUCLA_rPerTwinFamily(f,instance) StressRatio_r = (state(instance)%threshold_stress_twin(j,of)/tau_twin)**plastic_disloUCLA_rPerTwinFamily(f,instance)
!* Shear rates and their derivatives due to twin !* Shear rates and their derivatives due to twin
select case(lattice_structure(ph)) select case(lattice_structure(ph))
@ -1657,8 +1739,8 @@ subroutine plastic_disloUCLA_dotState(Tstar_v,Temperature,ipc,ip,el)
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i) s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i) s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
if (tau_twin < plastic_disloUCLA_tau_r(j,instance)) then if (tau_twin < plastic_disloUCLA_tau_r(j,instance)) then
Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2, of)+plasticState(ph)%state(ns+s2, of))+& !no non-Schmid behavior for fcc, just take the not influenced positive slip (gdot_slip_pos = gdot_slip_neg) Ndot0=(abs(gdot_slip_pos(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+& !no non-Schmid behavior for fcc, just take the not influenced positive slip (gdot_slip_pos = gdot_slip_neg)
abs(gdot_slip_pos(s2))*(plasticState(ph)%state(s1, of)+plasticState(ph)%state(ns+s1, of)))/& abs(gdot_slip_pos(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
(plastic_disloUCLA_L0(instance)*plastic_disloUCLA_burgersPerSlipSystem(j,instance))*& (plastic_disloUCLA_L0(instance)*plastic_disloUCLA_burgersPerSlipSystem(j,instance))*&
(1.0_pReal-exp(-plastic_disloUCLA_VcrossSlip(instance)/(kB*Temperature)*& (1.0_pReal-exp(-plastic_disloUCLA_VcrossSlip(instance)/(kB*Temperature)*&
(plastic_disloUCLA_tau_r(j,instance)-tau_twin))) (plastic_disloUCLA_tau_r(j,instance)-tau_twin)))
@ -1669,11 +1751,11 @@ subroutine plastic_disloUCLA_dotState(Tstar_v,Temperature,ipc,ip,el)
Ndot0=plastic_disloUCLA_Ndot0PerTwinSystem(j,instance) Ndot0=plastic_disloUCLA_Ndot0PerTwinSystem(j,instance)
end select end select
plasticState(ph)%dotState(3_pInt*ns+j, of) = & dotState(instance)%twinFraction(j, of) = &
(plastic_disloUCLA_MaxTwinFraction(instance)-sumf)*& (plastic_disloUCLA_MaxTwinFraction(instance)-sumf)*&
plasticState(ph)%state(7_pInt*ns+5_pInt*nt+j, of)*Ndot0*exp(-StressRatio_r) state(instance)%twinVolume(j, of)*Ndot0*exp(-StressRatio_r)
!* Dotstate for accumulated shear due to twin !* Dotstate for accumulated shear due to twin
plasticState(ph)%dotState(3_pInt*ns+nt+j, of) = plasticState(ph)%dotState(3_pInt*ns+j, of) * & dotState(instance)%accshear_twin(j,of) = dotState(ph)%twinFraction(j,of) * &
lattice_sheartwin(index_myfamily+i,ph) lattice_sheartwin(index_myfamily+i,ph)
endif endif
enddo twinSystems enddo twinSystems
@ -1693,7 +1775,7 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
use material, only: & use material, only: &
material_phase, & material_phase, &
phase_plasticityInstance,& phase_plasticityInstance,&
plasticState, & !plasticState, &
phaseAt, phasememberAt phaseAt, phasememberAt
use lattice, only: & use lattice, only: &
lattice_Sslip_v, & lattice_Sslip_v, &
@ -1743,7 +1825,7 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
nt = plastic_disloUCLA_totalNtwin(instance) nt = plastic_disloUCLA_totalNtwin(instance)
!* Total twin volume fraction !* Total twin volume fraction
sumf = sum(plasticState(ph)%state((3_pInt*ns+1_pInt):(3_pInt*ns+nt), of)) ! safe for nt == 0 sumf = sum(state(ph)%twinFraction(1_pInt:nt,of)) ! safe for nt == 0
!* Required output !* Required output
c = 0_pInt c = 0_pInt
@ -1753,10 +1835,10 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
select case(plastic_disloUCLA_outputID(o,instance)) select case(plastic_disloUCLA_outputID(o,instance))
case (edge_density_ID) case (edge_density_ID)
plastic_disloUCLA_postResults(c+1_pInt:c+ns) = plasticState(ph)%state(1_pInt:ns, of) plastic_disloUCLA_postResults(c+1_pInt:c+ns) = state(instance)%rhoEdge(1_pInt:ns,of)
c = c + ns c = c + ns
case (dipole_density_ID) case (dipole_density_ID)
plastic_disloUCLA_postResults(c+1_pInt:c+ns) = plasticState(ph)%state(ns+1_pInt:2_pInt*ns, of) plastic_disloUCLA_postResults(c+1_pInt:c+ns) = state(instance)%rhoEdgeDip(1_pInt:ns,of)
c = c + ns c = c + ns
case (shear_rate_slip_ID,shear_rate_twin_ID,stress_exponent_ID) case (shear_rate_slip_ID,shear_rate_twin_ID,stress_exponent_ID)
gdot_slip_pos = 0.0_pReal gdot_slip_pos = 0.0_pReal
@ -1772,7 +1854,7 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
BoltzmannRatio = plastic_disloUCLA_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = plastic_disloUCLA_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates !* Initial shear rates
DotGamma0 = & DotGamma0 = &
plasticState(ph)%state(j, of)*plastic_disloUCLA_burgersPerSlipSystem(j,instance)*& state(instance)%rhoEdge(j,of)*plastic_disloUCLA_burgersPerSlipSystem(j,instance)*&
plastic_disloUCLA_v0PerSlipSystem(j,instance) plastic_disloUCLA_v0PerSlipSystem(j,instance)
!* Resolved shear stress on slip system !* Resolved shear stress on slip system
tau_slip_pos(j) = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph)) tau_slip_pos(j) = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
@ -1785,9 +1867,9 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,ph)) dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,ph))
enddo nonSchmidSystems enddo nonSchmidSystems
significantPostitiveStress: if((abs(tau_slip_pos(j))-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then significantPositiveTau: if((abs(tau_slip_pos(j))-state(instance)%threshold_stress_slip(j, of)) > tol_math_check) then
!* Stress ratio !* Stress ratio
stressRatio = ((abs(tau_slip_pos(j))-plasticState(ph)%state(6*ns+4*nt+j, of))/& stressRatio = ((abs(tau_slip_pos(j))-state(instance)%threshold_stress_slip(j, of))/&
(plastic_disloUCLA_SolidSolutionStrength(instance)+& (plastic_disloUCLA_SolidSolutionStrength(instance)+&
plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))) plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance)))
stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance) stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance)
@ -1795,13 +1877,13 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
!* Shear rates due to slip !* Shear rates due to slip
vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) & vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) & * plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
* ( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) & * ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
* (tau_slip_pos(j) & * (tau_slip_pos(j) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
/ ( & / ( &
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos(j) & 2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos(j) &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
) )
@ -1813,7 +1895,7 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
dvel_slip = & dvel_slip = &
2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) & 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) & * plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
* ( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) & * ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
* ( & * ( &
(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & (exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
+ tau_slip_pos(j) & + tau_slip_pos(j) &
@ -1825,14 +1907,14 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
) & ) &
* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos(j) & * (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos(j) &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
) & ) &
- (tau_slip_pos(j) & - (tau_slip_pos(j) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal) & * (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal) &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i) * (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i)
*BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)& *BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)&
*plastic_disloUCLA_qPerSlipFamily(f,instance)/& *plastic_disloUCLA_qPerSlipFamily(f,instance)/&
@ -1844,17 +1926,17 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
( & ( &
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos(j) & 2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos(j) &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
)**2.0_pReal & )**2.0_pReal &
) )
dgdot_dtauslip_pos(j) = DotGamma0 * dvel_slip dgdot_dtauslip_pos(j) = DotGamma0 * dvel_slip
endif significantPostitiveStress endif significantPositiveTau
significantNegativeStress: if((abs(tau_slip_neg(j))-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then significantNegativeTau: if((abs(tau_slip_neg(j))-state(instance)%threshold_stress_slip(j, of)) > tol_math_check) then
!* Stress ratios !* Stress ratios
stressRatio = ((abs(tau_slip_neg(j))-plasticState(ph)%state(6*ns+4*nt+j, of))/& stressRatio = ((abs(tau_slip_neg(j))-state(instance)%threshold_stress_slip(j, of))/&
(plastic_disloUCLA_SolidSolutionStrength(instance)+& (plastic_disloUCLA_SolidSolutionStrength(instance)+&
plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))) plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance)))
stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance) stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance)
@ -1862,13 +1944,13 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
!* Shear rates due to slip !* Shear rates due to slip
vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) & vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) & * plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
* ( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) & * ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
* (tau_slip_neg(j) & * (tau_slip_neg(j) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
/ ( & / ( &
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg(j) & 2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg(j) &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
) )
@ -1879,7 +1961,7 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
dvel_slip = & dvel_slip = &
2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) & 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) & * plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
* ( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) & * ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
* ( & * ( &
(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & (exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
+ tau_slip_neg(j) & + tau_slip_neg(j) &
@ -1891,14 +1973,14 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
) & ) &
* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg(j) & * (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg(j) &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
) & ) &
- (tau_slip_neg(j) & - (tau_slip_neg(j) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal) & * (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal) &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i) * (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i)
*BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)& *BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)&
*plastic_disloUCLA_qPerSlipFamily(f,instance)/& *plastic_disloUCLA_qPerSlipFamily(f,instance)/&
@ -1910,7 +1992,7 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
( & ( &
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg(j) & 2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg(j) &
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) & + plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
*(( plasticState(ph)%state(5_pInt*ns+3_pInt*nt+j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) & *(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
)**2.0_pReal & )**2.0_pReal &
) )
@ -1918,7 +2000,7 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
dgdot_dtauslip_neg(j) = DotGamma0 * dvel_slip dgdot_dtauslip_neg(j) = DotGamma0 * dvel_slip
endif significantNegativeStress endif significantNegativeTau
enddo slipSystems enddo slipSystems
enddo slipFamilies enddo slipFamilies
@ -1936,7 +2018,7 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
!* Resolved shear stress on twin system !* Resolved shear stress on twin system
tau_twin = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,ph)) tau_twin = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,ph))
!* Stress ratios !* Stress ratios
StressRatio_r = (plasticState(ph)%state(7_pInt*ns+4_pInt*nt+j, of)/ & StressRatio_r = (state(instance)%threshold_stress_twin(j, of)/ &
tau_twin)**plastic_disloUCLA_rPerTwinFamily(f,instance) tau_twin)**plastic_disloUCLA_rPerTwinFamily(f,instance)
!* Shear rates due to twin !* Shear rates due to twin
@ -1946,8 +2028,8 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i) s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i) s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
if (tau_twin < plastic_disloUCLA_tau_r(j,instance)) then if (tau_twin < plastic_disloUCLA_tau_r(j,instance)) then
Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2, of)+plasticState(ph)%state(ns+s2, of))+& !no non-Schmid behavior for fcc, just take the not influenced positive slip (gdot_slip_pos = gdot_slip_neg) Ndot0=(abs(gdot_slip_pos(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+& !no non-Schmid behavior for fcc, just take the not influenced positive slip (gdot_slip_pos = gdot_slip_neg)
abs(gdot_slip_pos(s2))*(plasticState(ph)%state(s1, of)+plasticState(ph)%state(ns+s1, of)))/& abs(gdot_slip_pos(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
(plastic_disloUCLA_L0(instance)*& (plastic_disloUCLA_L0(instance)*&
plastic_disloUCLA_burgersPerSlipSystem(j,instance))*& plastic_disloUCLA_burgersPerSlipSystem(j,instance))*&
(1.0_pReal-exp(-plastic_disloUCLA_VcrossSlip(instance)/(kB*Temperature)*& (1.0_pReal-exp(-plastic_disloUCLA_VcrossSlip(instance)/(kB*Temperature)*&
@ -1961,7 +2043,7 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
end select end select
plastic_disloUCLA_postResults(c+j) = & plastic_disloUCLA_postResults(c+j) = &
(plastic_disloUCLA_MaxTwinFraction(instance)-sumf)*lattice_shearTwin(index_myFamily+i,ph)*& (plastic_disloUCLA_MaxTwinFraction(instance)-sumf)*lattice_shearTwin(index_myFamily+i,ph)*&
plasticState(ph)%state(7_pInt*ns+5_pInt*nt+j, of)*Ndot0*exp(-StressRatio_r) state(instance)%twinVolume(j,of)*Ndot0*exp(-StressRatio_r)
endif endif
enddo twinSystems1 enddo twinSystems1
enddo twinFamilies1 enddo twinFamilies1
@ -1982,11 +2064,11 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
case (accumulated_shear_slip_ID) case (accumulated_shear_slip_ID)
plastic_disloUCLA_postResults(c+1_pInt:c+ns) = & plastic_disloUCLA_postResults(c+1_pInt:c+ns) = &
plasticState(ph)%state((2_pInt*ns+1_pInt):(3_pInt*ns), of) state(instance)%accshear_slip(1_pInt:ns, of)
c = c + ns c = c + ns
case (mfp_slip_ID) case (mfp_slip_ID)
plastic_disloUCLA_postResults(c+1_pInt:c+ns) =& plastic_disloUCLA_postResults(c+1_pInt:c+ns) =&
plasticState(ph)%state((5_pInt*ns+3_pInt*nt+1_pInt):(6_pInt*ns+3_pInt*nt), of) state(instance)%mfp_slip(1_pInt:ns, of)
c = c + ns c = c + ns
case (resolved_stress_slip_ID) case (resolved_stress_slip_ID)
j = 0_pInt j = 0_pInt
@ -2000,7 +2082,7 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
c = c + ns c = c + ns
case (threshold_stress_slip_ID) case (threshold_stress_slip_ID)
plastic_disloUCLA_postResults(c+1_pInt:c+ns) = & plastic_disloUCLA_postResults(c+1_pInt:c+ns) = &
plasticState(ph)%state((6_pInt*ns+4_pInt*nt+1_pInt):(7_pInt*ns+4_pInt*nt), of) state(instance)%threshold_stress_slip(1_pInt:ns,of)
c = c + ns c = c + ns
case (edge_dipole_distance_ID) case (edge_dipole_distance_ID)
j = 0_pInt j = 0_pInt
@ -2012,21 +2094,21 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
(3.0_pReal*lattice_mu(ph)*plastic_disloUCLA_burgersPerSlipSystem(j,instance))/& (3.0_pReal*lattice_mu(ph)*plastic_disloUCLA_burgersPerSlipSystem(j,instance))/&
(16.0_pReal*pi*abs(dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph)))) (16.0_pReal*pi*abs(dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))))
plastic_disloUCLA_postResults(c+j)=min(plastic_disloUCLA_postResults(c+j),& plastic_disloUCLA_postResults(c+j)=min(plastic_disloUCLA_postResults(c+j),&
plasticState(ph)%state(5*ns+3*nt+j, of)) state(instance)%mfp_slip(j,of))
enddo slipSystems2; enddo slipFamilies2 enddo slipSystems2; enddo slipFamilies2
c = c + ns c = c + ns
case (twin_fraction_ID) case (twin_fraction_ID)
plastic_disloUCLA_postResults(c+1_pInt:c+nt) = plasticState(ph)%state((3_pInt*ns+1_pInt):(3_pInt*ns+nt), of) plastic_disloUCLA_postResults(c+1_pInt:c+nt) = state(instance)%twinFraction(1_pInt:nt, of)
c = c + nt c = c + nt
case (accumulated_shear_twin_ID) case (accumulated_shear_twin_ID)
plastic_disloUCLA_postResults(c+1_pInt:c+nt) = plasticState(ph)% & plastic_disloUCLA_postResults(c+1_pInt:c+nt) = state(instance)%accshear_twin(1_pInt:nt, of)
state((3_pInt*ns+nt+1_pInt) :(3_pInt*ns+2_pInt*nt), of)
c = c + nt c = c + nt
case (mfp_twin_ID) case (mfp_twin_ID)
plastic_disloUCLA_postResults(c+1_pInt:c+nt) = plasticState(ph)% & plastic_disloUCLA_postResults(c+1_pInt:c+nt) = state(instance)%mfp_twin(1_pInt:nt, of)
state((6_pInt*ns+3_pInt*nt+1_pInt):(6_pInt*ns+4_pInt*nt), of)
c = c + nt c = c + nt
case (resolved_stress_twin_ID) case (resolved_stress_twin_ID)
if (nt > 0_pInt) then if (nt > 0_pInt) then
j = 0_pInt j = 0_pInt
@ -2039,8 +2121,7 @@ function plastic_disloUCLA_postResults(Tstar_v,Temperature,ipc,ip,el)
endif endif
c = c + nt c = c + nt
case (threshold_stress_twin_ID) case (threshold_stress_twin_ID)
plastic_disloUCLA_postResults(c+1_pInt:c+nt) = plasticState(ph)% & plastic_disloUCLA_postResults(c+1_pInt:c+nt) = state(instance)%threshold_stress_twin(1_pInt:nt, of)
state((7_pInt*ns+4_pInt*nt+1_pInt):(7_pInt*ns+5_pInt*nt), of)
c = c + nt c = c + nt
end select end select
enddo enddo