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corrected substraction by volume fraction of twin for LpAndItsTangent and removed the substraction in postResults (like for dislowtin) 

cleaned up and unified notation in calculation of slip rates
This commit is contained in:
Martin Diehl 2014-11-05 19:11:09 +00:00
parent accb571c53
commit f3b7b5bb96
1 changed files with 1989 additions and 2050 deletions
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code/constitutive_dislokmc.f90
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@ -103,7 +103,6 @@ module constitutive_dislokmc
constitutive_dislokmc_pPerSlipFamily, & !< p-exponent in glide velocity constitutive_dislokmc_pPerSlipFamily, & !< p-exponent in glide velocity
constitutive_dislokmc_qPerSlipFamily, & !< q-exponent in glide velocity constitutive_dislokmc_qPerSlipFamily, & !< q-exponent in glide velocity
constitutive_dislokmc_uPerSlipFamily, & !< u-exponent in glide velocity constitutive_dislokmc_uPerSlipFamily, & !< u-exponent in glide velocity
constitutive_dislokmc_vPerSlipFamily, & !< v-exponent in glide velocity
constitutive_dislokmc_sPerSlipFamily, & !< self-hardening in glide velocity constitutive_dislokmc_sPerSlipFamily, & !< self-hardening in glide velocity
constitutive_dislokmc_rPerTwinFamily, & !< r-exponent in twin nucleation rate constitutive_dislokmc_rPerTwinFamily, & !< r-exponent in twin nucleation rate
constitutive_dislokmc_nonSchmidCoeff !< non-Schmid coefficients (bcc) constitutive_dislokmc_nonSchmidCoeff !< non-Schmid coefficients (bcc)
@ -131,10 +130,6 @@ module constitutive_dislokmc
mfp_twin_ID, & mfp_twin_ID, &
resolved_stress_twin_ID, & resolved_stress_twin_ID, &
threshold_stress_twin_ID threshold_stress_twin_ID
!resolved_stress_shearband_ID, &
!shear_rate_shearband_ID, &
!sb_eigenvalues_ID, &
!sb_eigenvectors_ID
end enum end enum
integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: & integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: &
constitutive_dislokmc_outputID !< ID of each post result output constitutive_dislokmc_outputID !< ID of each post result output
@ -273,7 +268,6 @@ subroutine constitutive_dislokmc_init(fileUnit)
allocate(constitutive_dislokmc_pPerSlipFamily(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal) allocate(constitutive_dislokmc_pPerSlipFamily(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal)
allocate(constitutive_dislokmc_qPerSlipFamily(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal) allocate(constitutive_dislokmc_qPerSlipFamily(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal)
allocate(constitutive_dislokmc_uPerSlipFamily(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal) allocate(constitutive_dislokmc_uPerSlipFamily(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal)
allocate(constitutive_dislokmc_vPerSlipFamily(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal)
allocate(constitutive_dislokmc_sPerSlipFamily(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal) allocate(constitutive_dislokmc_sPerSlipFamily(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal)
allocate(constitutive_dislokmc_Ndot0PerTwinFamily(lattice_maxNtwinFamily,maxNinstance), & allocate(constitutive_dislokmc_Ndot0PerTwinFamily(lattice_maxNtwinFamily,maxNinstance), &
source=0.0_pReal) source=0.0_pReal)
@ -441,8 +435,6 @@ subroutine constitutive_dislokmc_init(fileUnit)
constitutive_dislokmc_qPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies) constitutive_dislokmc_qPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
case ('u_slip') case ('u_slip')
constitutive_dislokmc_uPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies) constitutive_dislokmc_uPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
case ('v_slip')
constitutive_dislokmc_vPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
case ('s_slip') case ('s_slip')
constitutive_dislokmc_sPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies) constitutive_dislokmc_sPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
end select end select
@ -1184,7 +1176,7 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
integer(pInt) :: instance,ph,of,ns,nt,f,i,j,k,l,m,n,index_myFamily,s1,s2 integer(pInt) :: instance,ph,of,ns,nt,f,i,j,k,l,m,n,index_myFamily,s1,s2
real(pReal) :: sumf,StressRatio_p,StressRatio_pminus1,StressRatio_r,BoltzmannRatio,DotGamma0,Ndot0, & real(pReal) :: sumf,StressRatio_p,StressRatio_pminus1,StressRatio_r,BoltzmannRatio,DotGamma0,Ndot0, &
StressRatio_u,StressRatio_uminus1,tau_slip_pos,tau_slip_neg,vel_slip,dvel_slip,& StressRatio_u,StressRatio_uminus1,tau_slip_pos,tau_slip_neg,vel_slip,dvel_slip,&
dgdot_dtauslip_pos,dgdot_dtauslip_neg,dgdot_dtautwin,tau_twin,gdot_twin dgdot_dtauslip_pos,dgdot_dtauslip_neg,dgdot_dtautwin,tau_twin,gdot_twin,stressRatio
real(pReal), dimension(3,3,2) :: & real(pReal), dimension(3,3,2) :: &
nonSchmid_tensor nonSchmid_tensor
real(pReal), dimension(3,3,3,3) :: & real(pReal), dimension(3,3,3,3) :: &
@ -1199,12 +1191,8 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
ns = constitutive_dislokmc_totalNslip(instance) ns = constitutive_dislokmc_totalNslip(instance)
nt = constitutive_dislokmc_totalNtwin(instance) nt = constitutive_dislokmc_totalNtwin(instance)
!* Total twin volume fraction
sumf = sum(plasticState(ph)%state((3_pInt*ns+1_pInt):(3_pInt*ns+nt), of)) ! safe for nt == 0
Lp = 0.0_pReal Lp = 0.0_pReal
dLp_dTstar3333 = 0.0_pReal dLp_dTstar3333 = 0.0_pReal
dLp_dTstar = 0.0_pReal
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! Dislocation glide part ! Dislocation glide part
@ -1219,8 +1207,6 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
slipSystems: do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance) slipSystems: do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance)
j = j+1_pInt j = j+1_pInt
!--------------------------------------------------------------------------------------------------
! Calculation of Lp
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))
tau_slip_neg = tau_slip_pos tau_slip_neg = tau_slip_pos
nonSchmid_tensor(1:3,1:3,1) = lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph) nonSchmid_tensor(1:3,1:3,1) = lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph)
@ -1237,50 +1223,41 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
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
significantPostitiveSlip: if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = & DotGamma0 = &
plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*& plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*&
constitutive_dislokmc_v0PerSlipSystem(j,instance) constitutive_dislokmc_v0PerSlipSystem(j,instance)
significantPostitiveSlip: if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
!* Stress ratios !* Stress ratios
StressRatio_p = ((abs(tau_slip_pos)- plasticState(ph)%state(6*ns+4*nt+j, of))/& stressRatio = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))& (constitutive_dislokmc_SolidSolutionStrength(instance)+&
**constitutive_dislokmc_pPerSlipFamily(f,instance) constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))
StressRatio_pminus1 = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/& stressRatio_p = stressRatio** constitutive_dislokmc_pPerSlipFamily(f,instance)
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))& stressRatio_pminus1 = stressRatio**(constitutive_dislokmc_pPerSlipFamily(f,instance)-1.0_pReal)
**(constitutive_dislokmc_pPerSlipFamily(f,instance)-1.0_pReal) stressRatio_u = stressRatio** constitutive_dislokmc_uPerSlipFamily(f,instance)
stressRatio_uminus1 = stressRatio**(constitutive_dislokmc_uPerSlipFamily(f,instance)-1.0_pReal)
StressRatio_u = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**constitutive_dislokmc_uPerSlipFamily(f,instance)
StressRatio_uminus1 = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**(constitutive_dislokmc_uPerSlipFamily(f,instance)-1.0_pReal)
!* Shear rates due to slip !* Shear rates due to slip
vel_slip = exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)) & vel_slip = exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)) &
* (1.0_pReal-constitutive_dislokmc_sPerSlipFamily(f,instance) & * (1.0_pReal-constitutive_dislokmc_sPerSlipFamily(f,instance) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance))) * exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)))
gdot_slip_pos(j) = (1.0_pReal - sumf) * DotGamma0 & gdot_slip_pos(j) = DotGamma0 &
* StressRatio_u * vel_slip & * StressRatio_u * vel_slip &
* sign(1.0_pReal,tau_slip_pos) * sign(1.0_pReal,tau_slip_pos)
!* Derivatives of shear rates !* Derivatives of shear rates
dvel_slip = & dvel_slip = &
(abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)))& (abs(exp(-BoltzmannRatio*(1.0_pReal-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)))&
*BoltzmannRatio*constitutive_dislokmc_pPerSlipFamily(f,instance)& *BoltzmannRatio*constitutive_dislokmc_pPerSlipFamily(f,instance)&
*constitutive_dislokmc_qPerSlipFamily(f,instance)/& *constitutive_dislokmc_qPerSlipFamily(f,instance)/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance))*& (constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance))*&
StressRatio_pminus1*(1-StressRatio_p)**(constitutive_dislokmc_qPerSlipFamily(f,instance)-1.0_pReal) )& StressRatio_pminus1*(1.0_pReal-StressRatio_p)**(constitutive_dislokmc_qPerSlipFamily(f,instance)-1.0_pReal) )&
*(1.0_pReal - 2.0_pReal*constitutive_dislokmc_sPerSlipFamily(f,instance)& *(1.0_pReal - 2.0_pReal*constitutive_dislokmc_sPerSlipFamily(f,instance)&
*abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)))) *abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance))))
dgdot_dtauslip_pos = (1.0_pReal - sumf) * DotGamma0 * & dgdot_dtauslip_pos = DotGamma0 * &
( constitutive_dislokmc_uPerSlipFamily(f,instance)*StressRatio_uminus1 & ( constitutive_dislokmc_uPerSlipFamily(f,instance)*StressRatio_uminus1 &
/(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance))& /(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance))&
* vel_slip & * vel_slip &
@ -1298,6 +1275,13 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
enddo slipSystems enddo slipSystems
enddo slipFamilies enddo slipFamilies
!--------------------------------------------------------------------------------------------------
! correct Lp and dLp_dTstar3333 for twinned fraction
!* Total twin volume fraction
sumf = sum(plasticState(ph)%state((3_pInt*ns+1_pInt):(3_pInt*ns+nt), of)) ! safe for nt == 0
Lp = Lp * (1.0_pReal - sumf)
dLp_dTstar3333 = dLp_dTstar3333 * (1.0_pReal - sumf)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! Mechanical twinning part ! Mechanical twinning part
gdot_twin = 0.0_pReal gdot_twin = 0.0_pReal
@ -1405,12 +1389,11 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
of of
real(pReal) :: & real(pReal) :: &
sumf, & sumf, &
StressRatio_p,& stressRatio_p,&
StressRatio_pminus1,&
BoltzmannRatio,& BoltzmannRatio,&
DotGamma0,& DotGamma0,&
StressRatio_u,& stressRatio_u,&
StressRatio_uminus1,& stressRatio, &
EdgeDipMinDistance,& EdgeDipMinDistance,&
AtomicVolume,& AtomicVolume,&
VacancyDiffusion,& VacancyDiffusion,&
@ -1423,15 +1406,15 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
DotRhoEdgeEdgeAnnihilation, & DotRhoEdgeEdgeAnnihilation, &
ClimbVelocity, & ClimbVelocity, &
DotRhoEdgeDipClimb, & DotRhoEdgeDipClimb, &
DotRhoDipFormation DotRhoDipFormation, &
tau_twin, &
vel_slip
real(pReal), dimension(3,3,2) :: & real(pReal), dimension(3,3,2) :: &
nonSchmid_tensor nonSchmid_tensor
real(pReal), dimension(3,3,3,3) :: & real(pReal), dimension(3,3,3,3) :: &
dLp_dTstar3333 dLp_dTstar3333
real(pReal), dimension(constitutive_dislokmc_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & real(pReal), dimension(constitutive_dislokmc_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip_pos, tau_slip_neg gdot_slip_pos, tau_slip_neg
real(pReal), dimension(constitutive_dislokmc_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
tau_twin
!* Shortened notation !* Shortened notation
of = mappingConstitutive(1,ipc,ip,el) of = mappingConstitutive(1,ipc,ip,el)
@ -1468,36 +1451,27 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
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
significantPostitiveSlip: if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
!* Boltzmann ratio !* Boltzmann ratio
BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates !* Initial shear rates
DotGamma0 = & DotGamma0 = &
plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*& plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*&
constitutive_dislokmc_v0PerSlipSystem(j,instance) constitutive_dislokmc_v0PerSlipSystem(j,instance)
significantPostitiveSlip: if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
!* Stress ratios !* Stress ratios
StressRatio_p = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/& stressRatio = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))& (constitutive_dislokmc_SolidSolutionStrength(instance)+&
**constitutive_dislokmc_pPerSlipFamily(f,instance) constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))
StressRatio_pminus1 = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/& stressRatio_p = stressRatio** constitutive_dislokmc_pPerSlipFamily(f,instance)
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))& stressRatio_u = stressRatio** constitutive_dislokmc_uPerSlipFamily(f,instance)
**(constitutive_dislokmc_pPerSlipFamily(f,instance)-1.0_pReal)
StressRatio_u = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**constitutive_dislokmc_uPerSlipFamily(f,instance)
StressRatio_uminus1 = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j,of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**(constitutive_dislokmc_uPerSlipFamily(f,instance)-1.0_pReal)
!* Shear rates due to slip !* Shear rates due to slip
gdot_slip_pos(j) = DotGamma0*exp(-BoltzmannRatio*(1.0_pReal-StressRatio_p)** & vel_slip = exp(-BoltzmannRatio*(1.0_pReal-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)) &
constitutive_dislokmc_qPerSlipFamily(f,instance))*sign(1.0_pReal,tau_slip_pos) &
* (1.0_pReal-constitutive_dislokmc_sPerSlipFamily(f,instance) & * (1.0_pReal-constitutive_dislokmc_sPerSlipFamily(f,instance) &
* exp(-BoltzmannRatio*(1.0_pReal-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance))) & * exp(-BoltzmannRatio*(1.0_pReal-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)))
* StressRatio_u
gdot_slip_pos(j) = DotGamma0 &
* StressRatio_u * vel_slip &
* sign(1.0_pReal,tau_slip_pos)
endif significantPostitiveSlip endif significantPostitiveSlip
!* Multiplication !* Multiplication
@ -1568,22 +1542,22 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
j = j+1_pInt j = j+1_pInt
!* Resolved shear stress on twin system !* Resolved shear stress on twin system
tau_twin(j) = 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(j) > tol_math_check) then if (tau_twin > tol_math_check) then
StressRatio_r = (plasticState(ph)%state(7*ns+4*nt+j, of)/tau_twin(j))**constitutive_dislokmc_rPerTwinFamily(f,instance) StressRatio_r = (plasticState(ph)%state(7*ns+4*nt+j, of)/tau_twin)**constitutive_dislokmc_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(j) < constitutive_dislokmc_tau_r(j,instance)) then if (tau_twin < constitutive_dislokmc_tau_r(j,instance)) then
Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2, of)+plasticState(ph)%state(ns+s2, of))+& Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2, of)+plasticState(ph)%state(ns+s2, of))+&
abs(gdot_slip_pos(s2))*(plasticState(ph)%state(s1, of)+plasticState(ph)%state(ns+s1, of)))/& abs(gdot_slip_pos(s2))*(plasticState(ph)%state(s1, of)+plasticState(ph)%state(ns+s1, of)))/&
(constitutive_dislokmc_L0(instance)*constitutive_dislokmc_burgersPerSlipSystem(j,instance))*& (constitutive_dislokmc_L0(instance)*constitutive_dislokmc_burgersPerSlipSystem(j,instance))*&
(1.0_pReal-exp(-constitutive_dislokmc_VcrossSlip(instance)/(kB*Temperature)*& (1.0_pReal-exp(-constitutive_dislokmc_VcrossSlip(instance)/(kB*Temperature)*&
(constitutive_dislokmc_tau_r(j,instance)-tau_twin(j)))) (constitutive_dislokmc_tau_r(j,instance)-tau_twin)))
else else
Ndot0=0.0_pReal Ndot0=0.0_pReal
end if end if
@ -1602,6 +1576,7 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
end subroutine constitutive_dislokmc_dotState end subroutine constitutive_dislokmc_dotState
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief returns accumulated slip !> @brief returns accumulated slip
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
@ -1637,15 +1612,16 @@ subroutine constitutive_dislokmc_getAccumulatedSlip(nSlip,accumulatedSlip,ipc, i
offset_accshear_slip = 2_pInt*nSlip offset_accshear_slip = 2_pInt*nSlip
j = 0_pInt j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families slipFamilies: do f = 1_pInt,lattice_maxNslipFamily
do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance) ! process each (active) slip system in family slipSystems: do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance)
j = j+1_pInt j = j+1_pInt
accumulatedSlip(j) = plasticState(phase)%state(offset_accshear_slip+j,offset) accumulatedSlip(j) = plasticState(phase)%state(offset_accshear_slip+j,offset)
enddo enddo slipSystems
enddo enddo slipFamilies
end subroutine constitutive_dislokmc_getAccumulatedSlip end subroutine constitutive_dislokmc_getAccumulatedSlip
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief returns accumulated slip !> @brief returns accumulated slip
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
@ -1658,7 +1634,6 @@ subroutine constitutive_dislokmc_getSlipRate(nSlip,slipRate,ipc, ip, el)
phase_plasticityInstance phase_plasticityInstance
implicit none implicit none
real(pReal), dimension(:), allocatable :: & real(pReal), dimension(:), allocatable :: &
slipRate slipRate
integer(pInt) :: & integer(pInt) :: &
@ -1682,12 +1657,12 @@ subroutine constitutive_dislokmc_getSlipRate(nSlip,slipRate,ipc, ip, el)
offset_accshear_slip = 2_pInt*nSlip offset_accshear_slip = 2_pInt*nSlip
j = 0_pInt j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families slipFamilies: do f = 1_pInt,lattice_maxNslipFamily
do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance) ! process each (active) slip system in family slipSystems: do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance)
j = j+1_pInt j = j+1_pInt
slipRate(j) = plasticState(phase)%dotState(offset_accshear_slip+j,offset) slipRate(j) = plasticState(phase)%dotState(offset_accshear_slip+j,offset)
enddo enddo slipSystems
enddo enddo slipFamilies
end subroutine constitutive_dislokmc_getSlipRate end subroutine constitutive_dislokmc_getSlipRate
@ -1746,7 +1721,8 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
s1,s2, & s1,s2, &
ph, & ph, &
of of
real(pReal) :: sumf,tau,StressRatio_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,StressRatio_r,Ndot0,dgdot_dtauslip real(pReal) :: sumf,tau_slip_pos,tau_twin,StressRatio_p,StressRatio_pminus1,&
BoltzmannRatio,DotGamma0,StressRatio_r,Ndot0,dgdot_dtauslip,stressRatio
real(pReal) :: dvel_slip real(pReal) :: dvel_slip
real(pReal) :: StressRatio_u,StressRatio_uminus1 real(pReal) :: StressRatio_u,StressRatio_uminus1
real(preal), dimension(constitutive_dislokmc_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & real(preal), dimension(constitutive_dislokmc_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
@ -1767,7 +1743,6 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
c = 0_pInt c = 0_pInt
constitutive_dislokmc_postResults = 0.0_pReal constitutive_dislokmc_postResults = 0.0_pReal
do o = 1_pInt,constitutive_dislokmc_Noutput(instance) do o = 1_pInt,constitutive_dislokmc_Noutput(instance)
select case(constitutive_dislokmc_outputID(o,instance)) select case(constitutive_dislokmc_outputID(o,instance))
@ -1778,49 +1753,39 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
constitutive_dislokmc_postResults(c+1_pInt:c+ns) = plasticState(ph)%state(ns+1_pInt:2_pInt*ns, of) constitutive_dislokmc_postResults(c+1_pInt:c+ns) = plasticState(ph)%state(ns+1_pInt:2_pInt*ns, of)
c = c + ns c = c + ns
case (shear_rate_slip_ID) case (shear_rate_slip_ID)
gdot_slip_pos = 0.0_pReal
j = 0_pInt j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance) ! process each (active) slip system in family do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance) ! process each (active) slip system in family
j = j + 1_pInt j = j + 1_pInt
!* Resolved shear stress on slip system !* Resolved shear stress on slip system
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph)) tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
!* Stress ratios if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
if((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
!* Stress ratios
StressRatio_p = ((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+&
constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**constitutive_dislokmc_pPerSlipFamily(f,instance)
StressRatio_pminus1 = ((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+&
constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**(constitutive_dislokmc_pPerSlipFamily(f,instance)-1.0_pReal)
StressRatio_u = ((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**constitutive_dislokmc_uPerSlipFamily(f,instance)
StressRatio_uminus1 = ((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**(constitutive_dislokmc_uPerSlipFamily(f,instance)-1.0_pReal)
!* Boltzmann ratio !* Boltzmann ratio
BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates !* Initial shear rates
DotGamma0 = & DotGamma0 = &
plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*& plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*&
constitutive_dislokmc_v0PerSlipSystem(j,instance) constitutive_dislokmc_v0PerSlipSystem(j,instance)
!* Stress ratios
stressRatio = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+&
constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))
stressRatio_p = stressRatio** constitutive_dislokmc_pPerSlipFamily(f,instance)
stressRatio_pminus1 = stressRatio**(constitutive_dislokmc_pPerSlipFamily(f,instance)-1.0_pReal)
stressRatio_u = stressRatio** constitutive_dislokmc_uPerSlipFamily(f,instance)
stressRatio_uminus1 = stressRatio**(constitutive_dislokmc_uPerSlipFamily(f,instance)-1.0_pReal)
!* Shear rates due to slip !* Shear rates due to slip
constitutive_dislokmc_postResults(c+j) = & vel_slip(j) = exp(-BoltzmannRatio*(1.0_pReal-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)) &
DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
constitutive_dislokmc_qPerSlipFamily(f,instance))*sign(1.0_pReal,tau) &
* (1.0_pReal-constitutive_dislokmc_sPerSlipFamily(f,instance) & * (1.0_pReal-constitutive_dislokmc_sPerSlipFamily(f,instance) &
* exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**constitutive_dislokmc_qPerSlipFamily(f,instance))) * exp(-BoltzmannRatio*(1.0_pReal-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)))
else
constitutive_dislokmc_postResults(c+j) = 0.0_pReal
endif
gdot_slip_pos(j) = DotGamma0 &
* StressRatio_u * vel_slip(j) &
* sign(1.0_pReal,tau_slip_pos)
endif
constitutive_dislokmc_postResults(c+j) = gdot_slip_pos(j)
enddo ; enddo enddo ; enddo
c = c + ns c = c + ns
case (accumulated_shear_slip_ID) case (accumulated_shear_slip_ID)
@ -1863,49 +1828,37 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
c = c + nt c = c + nt
case (shear_rate_twin_ID) case (shear_rate_twin_ID)
if (nt > 0_pInt) then if (nt > 0_pInt) then
gdot_slip_pos = 0.0_pReal
j = 0_pInt j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance) ! process each (active) slip system in family do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance) ! process each (active) slip system in family
j = j + 1_pInt j = j + 1_pInt
!* Resolved shear stress on slip system !* Resolved shear stress on slip system
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph)) tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
!* Stress ratios if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
if((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
!* Stress ratios
StressRatio_p = ((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+&
constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**constitutive_dislokmc_pPerSlipFamily(f,instance)
StressRatio_pminus1 = ((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+&
constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**(constitutive_dislokmc_pPerSlipFamily(f,instance)-1.0_pReal)
StressRatio_u = ((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**constitutive_dislokmc_uPerSlipFamily(f,instance)
StressRatio_uminus1 = ((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**(constitutive_dislokmc_uPerSlipFamily(f,instance)-1.0_pReal)
!* Boltzmann ratio !* Boltzmann ratio
BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates !* Initial shear rates
DotGamma0 = & DotGamma0 = &
plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*& plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*&
constitutive_dislokmc_v0PerSlipSystem(j,instance) constitutive_dislokmc_v0PerSlipSystem(j,instance)
!* Stress ratios
stressRatio = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+&
constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))
stressRatio_p = stressRatio** constitutive_dislokmc_pPerSlipFamily(f,instance)
stressRatio_pminus1 = stressRatio**(constitutive_dislokmc_pPerSlipFamily(f,instance)-1.0_pReal)
stressRatio_u = stressRatio** constitutive_dislokmc_uPerSlipFamily(f,instance)
stressRatio_uminus1 = stressRatio**(constitutive_dislokmc_uPerSlipFamily(f,instance)-1.0_pReal)
!* Shear rates due to slip !* Shear rates due to slip
gdot_slip_pos(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**& vel_slip(j) = exp(-BoltzmannRatio*(1.0_pReal-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)) &
constitutive_dislokmc_qPerSlipFamily(f,instance))*sign(1.0_pReal,tau) &
* (1.0_pReal-constitutive_dislokmc_sPerSlipFamily(f,instance) & * (1.0_pReal-constitutive_dislokmc_sPerSlipFamily(f,instance) &
* exp(-BoltzmannRatio*(1_pInt-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)) ) & * exp(-BoltzmannRatio*(1.0_pReal-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)))
* StressRatio_u
else gdot_slip_pos(j) = DotGamma0 &
gdot_slip_pos(j) = 0.0_pReal * StressRatio_u * vel_slip(j) &
* sign(1.0_pReal,tau_slip_pos)
endif endif
enddo;enddo enddo;enddo
@ -1916,24 +1869,24 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
j = j + 1_pInt j = j + 1_pInt
!* Resolved shear stress on twin system !* Resolved shear stress on twin system
tau = 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 = (plasticState(ph)%state(7_pInt*ns+4_pInt*nt+j, of)/ &
tau)**constitutive_dislokmc_rPerTwinFamily(f,instance) tau_twin)**constitutive_dislokmc_rPerTwinFamily(f,instance)
!* Shear rates due to twin !* Shear rates due to twin
if ( tau > 0.0_pReal ) then if ( tau_twin > 0.0_pReal ) then
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 < constitutive_dislokmc_tau_r(j,instance)) then if (tau_twin < constitutive_dislokmc_tau_r(j,instance)) then
Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2, of)+plasticState(ph)%state(ns+s2, of))+& Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2, of)+plasticState(ph)%state(ns+s2, of))+&
abs(gdot_slip_pos(s2))*(plasticState(ph)%state(s1, of)+plasticState(ph)%state(ns+s1, of)))/& abs(gdot_slip_pos(s2))*(plasticState(ph)%state(s1, of)+plasticState(ph)%state(ns+s1, of)))/&
(constitutive_dislokmc_L0(instance)*& (constitutive_dislokmc_L0(instance)*&
constitutive_dislokmc_burgersPerSlipSystem(j,instance))*& constitutive_dislokmc_burgersPerSlipSystem(j,instance))*&
(1.0_pReal-exp(-constitutive_dislokmc_VcrossSlip(instance)/(kB*Temperature)*& (1.0_pReal-exp(-constitutive_dislokmc_VcrossSlip(instance)/(kB*Temperature)*&
(constitutive_dislokmc_tau_r(j,instance)-tau))) (constitutive_dislokmc_tau_r(j,instance)-tau_twin)))
else else
Ndot0=0.0_pReal Ndot0=0.0_pReal
end if end if
@ -1947,6 +1900,7 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
enddo ; enddo enddo ; enddo
endif endif
c = c + nt c = c + nt
case (accumulated_shear_twin_ID) case (accumulated_shear_twin_ID)
constitutive_dislokmc_postResults(c+1_pInt:c+nt) = plasticState(ph)% & constitutive_dislokmc_postResults(c+1_pInt:c+nt) = plasticState(ph)% &
@ -1972,46 +1926,37 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
state((7_pInt*ns+4_pInt*nt+1_pInt):(7_pInt*ns+5_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
case (stress_exponent_ID) case (stress_exponent_ID)
gdot_slip_pos = 0.0_pReal
j = 0_pInt j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance) ! process each (active) slip system in family do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance) ! process each (active) slip system in family
j = j + 1_pInt j = j + 1_pInt
tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
!* Resolved shear stress on slip system dgdot_dtauslip = 0.0_pReal
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph)) if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
if((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
!* Stress ratios
StressRatio_p = ((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+&
constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**constitutive_dislokmc_pPerSlipFamily(f,instance)
StressRatio_pminus1 = ((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+&
constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**(constitutive_dislokmc_pPerSlipFamily(f,instance)-1.0_pReal)
StressRatio_u = ((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j,of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**constitutive_dislokmc_uPerSlipFamily(f,instance)
StressRatio_uminus1 = ((abs(tau)-plasticState(ph)%state(6*ns+4*nt+j,of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
**(constitutive_dislokmc_uPerSlipFamily(f,instance)-1.0_pReal)
!* Boltzmann ratio !* Boltzmann ratio
BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates !* Initial shear rates
DotGamma0 = & DotGamma0 = &
plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*& plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*&
constitutive_dislokmc_v0PerSlipSystem(j,instance) constitutive_dislokmc_v0PerSlipSystem(j,instance)
!* Stress ratios
stressRatio = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
(constitutive_dislokmc_SolidSolutionStrength(instance)+&
constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))
stressRatio_p = stressRatio** constitutive_dislokmc_pPerSlipFamily(f,instance)
stressRatio_pminus1 = stressRatio**(constitutive_dislokmc_pPerSlipFamily(f,instance)-1.0_pReal)
stressRatio_u = stressRatio** constitutive_dislokmc_uPerSlipFamily(f,instance)
stressRatio_uminus1 = stressRatio**(constitutive_dislokmc_uPerSlipFamily(f,instance)-1.0_pReal)
!* Shear rates due to slip !* Shear rates due to slip
vel_slip(j) = exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)) & vel_slip(j) = exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)) &
* (1.0_pReal-constitutive_dislokmc_sPerSlipFamily(f,instance) & * (1.0_pReal-constitutive_dislokmc_sPerSlipFamily(f,instance) &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance))) * exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)))
gdot_slip_pos(j) = (1.0_pReal - sumf) * DotGamma0 & gdot_slip_pos(j) = DotGamma0 &
* StressRatio_u * vel_slip(j) & * StressRatio_u * vel_slip(j) &
* sign(1.0_pReal,tau) * sign(1.0_pReal,tau_slip_pos)
!* Derivatives of shear rates !* Derivatives of shear rates
dvel_slip = & dvel_slip = &
(abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)))& (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)))&
@ -2022,24 +1967,18 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
*(1.0_pReal - 2.0_pReal*constitutive_dislokmc_sPerSlipFamily(f,instance)& *(1.0_pReal - 2.0_pReal*constitutive_dislokmc_sPerSlipFamily(f,instance)&
*abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance)))) *abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance))))
dgdot_dtauslip = & dgdot_dtauslip = DotGamma0 * &
(1.0_pReal - sumf) * DotGamma0 * &
( constitutive_dislokmc_uPerSlipFamily(f,instance)*StressRatio_uminus1 & ( constitutive_dislokmc_uPerSlipFamily(f,instance)*StressRatio_uminus1 &
/(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance))& /(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance))&
* vel_slip(j) & * vel_slip(j) &
+ StressRatio_u * dvel_slip ) + StressRatio_u * dvel_slip )
else
gdot_slip_pos(j) = 0.0_pReal
dgdot_dtauslip = 0.0_pReal
endif endif
!* Stress exponent !* Stress exponent
if (gdot_slip_pos(j)==0.0_pReal) then if (gdot_slip_pos(j)==0.0_pReal) then
constitutive_dislokmc_postResults(c+j) = 0.0_pReal constitutive_dislokmc_postResults(c+j) = 0.0_pReal
else else
constitutive_dislokmc_postResults(c+j) = (tau/gdot_slip_pos(j))*dgdot_dtauslip constitutive_dislokmc_postResults(c+j) = (tau_twin/gdot_slip_pos(j))*dgdot_dtauslip
endif endif
enddo ; enddo enddo ; enddo
c = c + ns c = c + ns