general polishing
This commit is contained in:
Martin Diehl
parent
912926e604
commit
7a67922c5f
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@ -17,6 +17,8 @@ module plastic_dislotwin
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real(pReal), parameter, private :: &
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kB = 1.38e-23_pReal !< Boltzmann constant in J/Kelvin
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! START: Do something here
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real(pReal), dimension(:,:), allocatable, private :: &
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tau_r_twin, & !< stress to bring partial close together for each twin system and instance
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tau_r_trans !< stress to bring partial close together for each trans system and instance
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@ -25,6 +27,7 @@ module plastic_dislotwin
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projectionMatrix_Trans !< matrix for projection of slip system shear on fault band (twin) systems for each instance
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real(pReal), dimension(:,:,:,:,:), allocatable, private :: &
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sbSv
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! END: Do something here
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enum, bind(c)
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enumerator :: undefined_ID, &
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@ -232,7 +235,7 @@ subroutine plastic_dislotwin_init(fileUnit)
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integer(pInt) :: NofMyPhase
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integer(kind(undefined_ID)) outputID
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real(pReal), dimension(:,:,:,:,:), allocatable :: &
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real(pReal), dimension(:,:,:,:,:), allocatable :: &
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Ctwin3333, & !< twin elasticity matrix
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Ctrans3333 !< trans elasticity matrix
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@ -282,9 +285,8 @@ subroutine plastic_dislotwin_init(fileUnit)
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allocate(param(maxNinstance))
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allocate(state(maxNinstance))
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allocate(dotState(maxNinstance))
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allocate(sbSv(6,6,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), source=0.0_pReal)
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allocate(sbSv(6,6,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), source=0.0_pReal)
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do p = 1_pInt, size(phase_plasticityInstance)
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if (phase_plasticity(p) /= PLASTICITY_DISLOTWIN_ID) cycle
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@ -389,7 +391,10 @@ subroutine plastic_dislotwin_init(fileUnit)
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if (prm%totalNslip > 0_pInt .and. prm%totalNtwin > 0_pInt) then
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prm%interaction_SlipTwin = spread(config_phase(p)%getFloats('interaction_sliptwin'),2,1)
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prm%interaction_TwinSlip = spread(config_phase(p)%getFloats('interaction_twinslip'),2,1)
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endif
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prm%p = math_expand(prm%p,prm%Nslip)
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prm%q = math_expand(prm%q,prm%Nslip)
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prm%tau_peierls = math_expand(prm%tau_peierls,prm%Nslip)
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endif
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if (prm%totalNslip > 0_pInt .and. prm%totalNtrans > 0_pInt) then
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prm%interaction_TransSlip = spread(config_phase(p)%getFloats('interaction_transslip'),2,1)
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@ -578,11 +583,8 @@ subroutine plastic_dislotwin_init(fileUnit)
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prm%qShearBand <= 0.0_pReal) &
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call IO_error(211_pInt,el=instance,ext_msg='qShearBand ('//PLASTICITY_DISLOTWIN_label//')')
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prm%p = math_expand(prm%p,prm%Nslip)
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prm%q = math_expand(prm%q,prm%Nslip)
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prm%tau_peierls = math_expand(prm%tau_peierls,prm%Nslip)
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enddo
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! ToDo: this works only for one instance!
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allocate(forestProjectionEdge(prm%totalNslip,prm%totalNslip,maxNinstance), source=0.0_pReal)
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allocate(projectionMatrix_Trans(prm%totalNtrans,prm%totalNslip,maxNinstance), source=0.0_pReal)
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@ -1184,17 +1186,19 @@ subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
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real(pReal), dimension(3,3), intent(out) :: Lp
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real(pReal), dimension(9,9), intent(out) :: dLp_dTstar99
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integer(pInt) :: instance,ph,of,f,i,j,k,l,m,n,index_myFamily,s1,s2
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real(pReal) :: sumf,sumftr,StressRatio_p,StressRatio_pminus1,StressRatio_r,BoltzmannRatio,DotGamma0,Ndot0_twin,stressRatio, &
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Ndot0_trans,StressRatio_s
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real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333
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integer(pInt) :: instance,ph,of,j,k,l,m,n,s1,s2
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real(pReal) :: sumf,sumftr,StressRatio_p,StressRatio_pminus1,&
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StressRatio_r,BoltzmannRatio,DotGamma0,Ndot0_twin,stressRatio, &
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Ndot0_trans,StressRatio_s, &
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tau_twin, tau_trans, &
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gdot_twin,dgdot_dtautwin, &
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gdot_trans,dgdot_dtautrans, &
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dgdot_dtauslip, &
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tau_slip
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real(pReal), dimension(3,3,3,3) :: dLp_dS
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real(pReal), dimension(plasticState(material_phase(ipc,ip,el))%Nslip) :: &
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gdot_slip,dgdot_dtauslip,tau_slip
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real(pReal), dimension(plasticState(material_phase(ipc,ip,el))%Ntwin) :: &
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gdot_twin,dgdot_dtautwin,tau_twin
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real(pReal), dimension(plasticState(material_phase(ipc,ip,el))%Ntrans) :: &
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gdot_trans,dgdot_dtautrans,tau_trans
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real(pReal), dimension(6) :: gdot_sb,dgdot_dtausb,tau_sb
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gdot_slip
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real(pReal):: gdot_sb,dgdot_dtausb,tau_sb
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real(pReal), dimension(3,3) :: eigVectors, sb_Smatrix
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real(pReal), dimension(3) :: eigValues, sb_s, sb_m
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logical :: error
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@ -1229,46 +1233,43 @@ subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
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Lp = 0.0_pReal
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dLp_dTstar3333 = 0.0_pReal
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dLp_dS = 0.0_pReal
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S = math_Mandel6to33(Tstar_v)
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associate(prm => param(instance))
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!--------------------------------------------------------------------------------------------------
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! Dislocation glide part
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gdot_slip = 0.0_pReal
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dgdot_dtauslip = 0.0_pReal
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slipSystems: do j = 1_pInt, prm%totalNslip
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tau_slip = math_mul33xx33(S,prm%Schmid_slip(1:3,1:3,j))
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tau_slip(j) = math_mul33xx33(S,prm%Schmid_slip(1:3,1:3,j))
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if((abs(tau_slip(j))-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
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stressRatio =((abs(tau_slip(j))- state(instance)%threshold_stress_slip(j,of))/&
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significantSlipStress: if((abs(tau_slip)-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
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stressRatio =((abs(tau_slip)- state(instance)%threshold_stress_slip(j,of))/&
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(prm%SolidSolutionStrength+prm%tau_peierls(j)))
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StressRatio_p = stressRatio** prm%p(j)
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StressRatio_pminus1 = stressRatio**(prm%p(j)-1.0_pReal) ! ToDo: no very helpful
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BoltzmannRatio = prm%Qedge(j)/(kB*Temperature)
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!* Initial shear rates
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DotGamma0 = state(instance)%rhoEdge(j,of)*prm%burgers_slip(j)* prm%v0(j)
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!* Shear rates due to slip
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gdot_slip(j) = DotGamma0 *sign(exp(-BoltzmannRatio*(1-StressRatio_p)** prm%q(j)), tau_slip(j))
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gdot_slip(j) = DotGamma0 *sign(exp(-BoltzmannRatio*(1-StressRatio_p)** prm%q(j)), tau_slip)
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!* Derivatives of shear rates
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dgdot_dtauslip(j) = abs(gdot_slip(j))*BoltzmannRatio*prm%p(j) * prm%q(j) &
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/ (prm%SolidSolutionStrength+prm%tau_peierls(j)) &
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* StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal)
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endif
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dgdot_dtauslip = abs(gdot_slip(j))*BoltzmannRatio*prm%p(j) * prm%q(j) &
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/ (prm%SolidSolutionStrength+prm%tau_peierls(j)) &
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* StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal)
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else significantSlipStress
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gdot_slip(j) = 0.0_pReal
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dgdot_dtauslip = 0.0_pReal
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endif significantSlipStress
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Lp = Lp + gdot_slip(j)*prm%Schmid_slip(1:3,1:3,j)
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) &
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+ dgdot_dtauslip(j) * prm%Schmid_slip(k,l,j) * prm%Schmid_slip(m,n,j)
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dLp_dS(k,l,m,n) = dLp_dS(k,l,m,n) &
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+ dgdot_dtauslip * prm%Schmid_slip(k,l,j) * prm%Schmid_slip(m,n,j)
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enddo slipSystems
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!--------------------------------------------------------------------------------------------------
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! correct Lp and dLp_dTstar3333 for twinned and transformed fraction
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! correct Lp and dLp_dS for twinned and transformed fraction
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!* Total twin volume fraction
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sumf = sum(state(instance)%twinFraction(1_pInt:prm%totalNtwin,of)) ! safe for prm%totalNtwin == 0
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@ -1276,13 +1277,11 @@ subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
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sumftr = sum(state(instance)%stressTransFraction(1_pInt:prm%totalNtrans,of)) + &
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sum(state(instance)%strainTransFraction(1_pInt:prm%totalNtrans,of))
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Lp = Lp * (1.0_pReal - sumf - sumftr)
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dLp_dTstar3333 = dLp_dTstar3333 * (1.0_pReal - sumf - sumftr)
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dLp_dS = dLp_dS * (1.0_pReal - sumf - sumftr)
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!--------------------------------------------------------------------------------------------------
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! Shear banding (shearband) part
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if(dNeq0(prm%sbVelocity)) then
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gdot_sb = 0.0_pReal
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dgdot_dtausb = 0.0_pReal
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call math_eigenValuesVectorsSym(S,eigValues,eigVectors,error)
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do j = 1_pInt,6_pInt
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sb_s = 0.5_pReal*sqrt(2.0_pReal)*math_mul33x3(eigVectors,sb_sComposition(1:3,j))
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@ -1292,122 +1291,99 @@ subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
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!* Calculation of Lp
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!* Resolved shear stress on shear banding system
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tau_sb(j) = dot_product(Tstar_v,sbSv(1:6,j,ipc,ip,el))
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tau_sb = dot_product(Tstar_v,sbSv(1:6,j,ipc,ip,el))
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!* Stress ratios
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if (abs(tau_sb(j)) < tol_math_check) then
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StressRatio_p = 0.0_pReal
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StressRatio_pminus1 = 0.0_pReal
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else
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StressRatio_p = (abs(tau_sb(j))/prm%sbResistance)&
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**prm%pShearBand
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StressRatio_pminus1 = (abs(tau_sb(j))/prm%sbResistance)&
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**(prm%pShearBand-1.0_pReal)
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endif
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if (abs(tau_sb) < tol_math_check) then
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StressRatio_p = 0.0_pReal
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StressRatio_pminus1 = 0.0_pReal
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else
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StressRatio_p = (abs(tau_sb)/prm%sbResistance)**prm%pShearBand
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StressRatio_pminus1 = (abs(tau_sb)/prm%sbResistance)**(prm%pShearBand-1.0_pReal)
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endif
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BoltzmannRatio = prm%sbQedge/(kB*Temperature)
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!* Initial shear rates
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DotGamma0 = prm%sbVelocity
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gdot_sb = sign(prm%sbVelocity*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**prm%qShearBand), tau_sb)
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dgdot_dtausb = ((abs(gdot_sb)*BoltzmannRatio* prm%pShearBand*prm%qShearBand)/ prm%sbResistance) &
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* StressRatio_pminus1*(1_pInt-StressRatio_p)**(prm%qShearBand-1.0_pReal)
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!* Shear rates due to shearband
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gdot_sb(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
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prm%qShearBand)*sign(1.0_pReal,tau_sb(j))
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!* Derivatives of shear rates
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dgdot_dtausb(j) = &
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((abs(gdot_sb(j))*BoltzmannRatio*&
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prm%pShearBand*prm%qShearBand)/&
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prm%sbResistance)*&
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StressRatio_pminus1*(1_pInt-StressRatio_p)**(prm%qShearBand-1.0_pReal)
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Lp = Lp + gdot_sb(j)*sb_Smatrix
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Lp = Lp + gdot_sb*sb_Smatrix
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) &
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+ dgdot_dtausb(j)* sb_Smatrix(k,l) * sb_Smatrix(m,n)
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dLp_dS(k,l,m,n) = dLp_dS(k,l,m,n) &
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+ dgdot_dtausb * sb_Smatrix(k,l) * sb_Smatrix(m,n)
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enddo
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end if
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gdot_twin = 0.0_pReal
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dgdot_dtautwin = 0.0_pReal
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twinSystems: do j = 1_pInt, prm%totalNtwin
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tau_twin(j) = math_mul33xx33(S,prm%Schmid_twin(1:3,1:3,j))
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if (tau_twin(j) > tol_math_check) then
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StressRatio_r = (state(instance)%threshold_stress_twin(j,of)/tau_twin(j))**prm%r(f)
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!* Shear rates and their derivatives due to twin
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if (lattice_structure(ph) == LATTICE_FCC_ID) then
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tau_twin = math_mul33xx33(S,prm%Schmid_twin(1:3,1:3,j))
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significantTwinStress: if (tau_twin > tol_math_check) then
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StressRatio_r = (state(instance)%threshold_stress_twin(j,of)/tau_twin)**prm%r(j)
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isFCCtwin: if (lattice_structure(ph) == LATTICE_FCC_ID) then
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s1=prm%fcc_twinNucleationSlipPair(1,j)
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s2=prm%fcc_twinNucleationSlipPair(2,j)
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if (tau_twin(j) < tau_r_twin(j,instance)) then
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if (tau_twin < tau_r_twin(j,instance)) then
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Ndot0_twin=(abs(gdot_slip(s1))*(state(instance)%rhoEdge(s2,of)+state(ph)%rhoEdgeDip(s2,of))+& !!!!! correct?
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abs(gdot_slip(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
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(prm%L0_twin*prm%burgers_slip(j))*&
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(1.0_pReal-exp(-prm%VcrossSlip/(kB*Temperature)*&
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(tau_r_twin(j,instance)-tau_twin(j))))
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(tau_r_twin(j,instance)-tau_twin)))
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else
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Ndot0_twin=0.0_pReal
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end if
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else
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else isFCCtwin
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Ndot0_twin=prm%Ndot0_twin(j)
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endif
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gdot_twin(j) = &
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(1.0_pReal-sumf-sumftr)*prm%shear_twin(j)*&
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endif isFCCtwin
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gdot_twin = (1.0_pReal-sumf-sumftr)*prm%shear_twin(j)*&
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state(instance)%twinVolume(j,of)*Ndot0_twin*exp(-StressRatio_r)
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dgdot_dtautwin(j) = ((gdot_twin(j)*prm%r(j))/tau_twin(j))*StressRatio_r
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endif
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dgdot_dtautwin = ((gdot_twin*prm%r(j))/tau_twin)*StressRatio_r
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else significantTwinStress
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gdot_twin = 0.0_pReal
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dgdot_dtautwin = 0.0_pReal
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endif significantTwinStress
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Lp = Lp + gdot_twin(j)*prm%Schmid_twin(1:3,1:3,j)
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Lp = Lp + gdot_twin*prm%Schmid_twin(1:3,1:3,j)
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) &
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+ dgdot_dtautwin(j)* prm%Schmid_twin(k,l,j)*prm%Schmid_twin(m,n,j)
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dLp_dS(k,l,m,n) = dLp_dS(k,l,m,n) &
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+ dgdot_dtautwin* prm%Schmid_twin(k,l,j)*prm%Schmid_twin(m,n,j)
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enddo twinSystems
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!* Phase transformation part
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gdot_trans = 0.0_pReal
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dgdot_dtautrans = 0.0_pReal
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j = 0_pInt
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transSystems: do j = 1_pInt, prm%totalNtrans
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tau_trans(j) = math_mul33xx33(S,prm%Schmid_trans(1:3,1:3,j))
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!* Stress ratios
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if (tau_trans(j) > tol_math_check) then
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StressRatio_s = (state(instance)%threshold_stress_trans(j,of)/tau_trans(j))**prm%s(f)
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!* Shear rates and their derivatives due to transformation
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if (lattice_structure(ph) == LATTICE_FCC_ID) then
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tau_trans = math_mul33xx33(S,prm%Schmid_trans(1:3,1:3,j))
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significantTransStress: if (tau_trans > tol_math_check) then
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StressRatio_s = (state(instance)%threshold_stress_trans(j,of)/tau_trans)**prm%s(j)
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isFCCtrans: if (lattice_structure(ph) == LATTICE_FCC_ID) then
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s1=prm%fcc_twinNucleationSlipPair(1,j)
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s2=prm%fcc_twinNucleationSlipPair(2,j)
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if (tau_trans(j) < tau_r_trans(j,instance)) then
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Ndot0_trans=(abs(gdot_slip(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+& !!!!! correct?
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if (tau_trans < tau_r_trans(j,instance)) then
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Ndot0_trans=(abs(gdot_slip(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+& !!!!! correct?
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abs(gdot_slip(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
|
||||
(prm%L0_trans*prm%burgers_slip(j))*&
|
||||
(1.0_pReal-exp(-prm%VcrossSlip/(kB*Temperature)*&
|
||||
(tau_r_trans(j,instance)-tau_trans(j))))
|
||||
else
|
||||
Ndot0_trans=0.0_pReal
|
||||
end if
|
||||
else
|
||||
Ndot0_trans=prm%Ndot0_trans(j)
|
||||
endif
|
||||
gdot_trans(j) = &
|
||||
(1.0_pReal-sumf-sumftr)*&
|
||||
state(instance)%martensiteVolume(j,of)*Ndot0_trans*exp(-StressRatio_s)
|
||||
dgdot_dtautrans(j) = ((gdot_trans(j)*prm%s(f))/tau_trans(j))*StressRatio_s
|
||||
endif
|
||||
(tau_r_trans(j,instance)-tau_trans)))
|
||||
else
|
||||
Ndot0_trans=0.0_pReal
|
||||
end if
|
||||
else isFCCtrans
|
||||
Ndot0_trans=prm%Ndot0_trans(j)
|
||||
endif isFCCtrans
|
||||
gdot_trans = (1.0_pReal-sumf-sumftr)* state(instance)%martensiteVolume(j,of) &
|
||||
* Ndot0_trans*exp(-StressRatio_s)
|
||||
dgdot_dtautrans = ((gdot_trans*prm%s(j))/tau_trans)*StressRatio_s
|
||||
else significantTransStress
|
||||
gdot_trans = 0.0_pReal
|
||||
dgdot_dtautrans = 0.0_pReal
|
||||
endif significantTransStress
|
||||
|
||||
!* Plastic velocity gradient for phase transformation
|
||||
Lp = Lp + gdot_trans(j)*prm%Schmid_trans(1:3,1:3,j)
|
||||
|
||||
!* Calculation of the tangent of Lp
|
||||
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
||||
dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) &
|
||||
+ dgdot_dtautrans(j) * prm%Schmid_trans(k,l,j)* prm%Schmid_trans(m,n,j)
|
||||
Lp = Lp + gdot_trans*prm%Schmid_trans(1:3,1:3,j)
|
||||
|
||||
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
||||
dLp_dS(k,l,m,n) = dLp_dS(k,l,m,n) &
|
||||
+ dgdot_dtautrans * prm%Schmid_trans(k,l,j)* prm%Schmid_trans(m,n,j)
|
||||
enddo transSystems
|
||||
end associate
|
||||
dLp_dTstar99 = math_Plain3333to99(dLp_dTstar3333)
|
||||
|
||||
dLp_dTstar99 = math_Plain3333to99(dLp_dS)
|
||||
|
||||
end subroutine plastic_dislotwin_LpAndItsTangent
|
||||
|
||||
|
|
@ -1443,20 +1419,19 @@ subroutine plastic_dislotwin_dotState(Tstar_v,Temperature,ipc,ip,el)
|
|||
ip, & !< integration point
|
||||
el !< element
|
||||
|
||||
integer(pInt) :: instance,f,i,j,index_myFamily,s1,s2, &
|
||||
integer(pInt) :: instance,j,s1,s2, &
|
||||
ph, &
|
||||
of
|
||||
real(pReal) :: sumf,sumftr,StressRatio_p,BoltzmannRatio,DotGamma0,&
|
||||
EdgeDipMinDistance,AtomicVolume,VacancyDiffusion,StressRatio_r,Ndot0_twin,stressRatio,&
|
||||
Ndot0_trans,StressRatio_s,EdgeDipDistance, ClimbVelocity,DotRhoEdgeDipClimb,DotRhoEdgeDipAnnihilation, &
|
||||
DotRhoDipFormation,DotRhoMultiplication,DotRhoEdgeEdgeAnnihilation
|
||||
DotRhoDipFormation,DotRhoMultiplication,DotRhoEdgeEdgeAnnihilation, &
|
||||
tau_twin, &
|
||||
tau_trans, &
|
||||
tau_slip
|
||||
real(pReal), dimension(plasticState(material_phase(ipc,ip,el))%Nslip) :: &
|
||||
gdot_slip,tau_slip
|
||||
gdot_slip
|
||||
|
||||
real(pReal), dimension(plasticState(material_phase(ipc,ip,el))%Ntwin) :: &
|
||||
tau_twin
|
||||
real(pReal), dimension(plasticState(material_phase(ipc,ip,el))%Ntrans) :: &
|
||||
tau_trans
|
||||
|
||||
real(pReal), dimension(3,3) :: &
|
||||
S !< Second-Piola Kirchhoff stress
|
||||
|
|
@ -1478,46 +1453,35 @@ subroutine plastic_dislotwin_dotState(Tstar_v,Temperature,ipc,ip,el)
|
|||
sumftr = sum(state(instance)%stressTransFraction(1_pInt:prm%totalNtrans,of)) + &
|
||||
sum(state(instance)%strainTransFraction(1_pInt:prm%totalNtrans,of))
|
||||
|
||||
!* Dislocation density evolution
|
||||
gdot_slip = 0.0_pReal
|
||||
slipSystems: do j = 1_pInt, prm%totalNslip
|
||||
tau_slip(j) = math_mul33xx33(S,prm%Schmid_slip(1:3,1:3,j))
|
||||
|
||||
if((abs(tau_slip(j))-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
|
||||
stressRatio =((abs(tau_slip(j))- state(instance)%threshold_stress_slip(j,of))/&
|
||||
tau_slip = math_mul33xx33(S,prm%Schmid_slip(1:3,1:3,j))
|
||||
significantSlipStress1: if((abs(tau_slip)-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
|
||||
stressRatio =((abs(tau_slip)- state(instance)%threshold_stress_slip(j,of))/&
|
||||
(prm%SolidSolutionStrength+prm%tau_peierls(j)))
|
||||
StressRatio_p = stressRatio** prm%p(j)
|
||||
StressRatio_p = stressRatio** prm%p(j)
|
||||
BoltzmannRatio = prm%Qedge(j)/(kB*Temperature)
|
||||
!* Initial shear rates
|
||||
DotGamma0 = plasticState(ph)%state(j, of)*prm%burgers_slip(j)*prm%v0(j)
|
||||
|
||||
!* Shear rates due to slip
|
||||
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)** &
|
||||
prm%q(j))*sign(1.0_pReal,tau_slip(j))
|
||||
endif
|
||||
!* Multiplication
|
||||
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**prm%q(j))*sign(1.0_pReal,tau_slip)
|
||||
else significantSlipStress1
|
||||
gdot_slip(j) = 0.0_pReal
|
||||
endif significantSlipStress1
|
||||
DotRhoMultiplication = abs(gdot_slip(j))/(prm%burgers_slip(j)*state(instance)%mfp_slip(j,of))
|
||||
|
||||
!* Dipole formation
|
||||
EdgeDipMinDistance = prm%CEdgeDipMinDistance*prm%burgers_slip(j)
|
||||
if (dEq0(tau_slip(j))) then
|
||||
significantSlipStress2: if (dEq0(tau_slip)) then
|
||||
DotRhoDipFormation = 0.0_pReal
|
||||
else
|
||||
EdgeDipDistance = &
|
||||
(3.0_pReal*lattice_mu(ph)*prm%burgers_slip(j))/&
|
||||
(16.0_pReal*pi*abs(tau_slip(j)))
|
||||
else significantSlipStress2
|
||||
EdgeDipDistance = (3.0_pReal*lattice_mu(ph)*prm%burgers_slip(j))/&
|
||||
(16.0_pReal*PI*abs(tau_slip))
|
||||
if (EdgeDipDistance>state(instance)%mfp_slip(j,of)) EdgeDipDistance=state(instance)%mfp_slip(j,of)
|
||||
if (EdgeDipDistance<EdgeDipMinDistance) EdgeDipDistance=EdgeDipMinDistance
|
||||
DotRhoDipFormation = &
|
||||
((2.0_pReal*(EdgeDipDistance-EdgeDipMinDistance))/prm%burgers_slip(j))*&
|
||||
if (EdgeDipDistance<EdgeDipMinDistance) EdgeDipDistance=EdgeDipMinDistance
|
||||
DotRhoDipFormation = ((2.0_pReal*(EdgeDipDistance-EdgeDipMinDistance))/prm%burgers_slip(j))*&
|
||||
state(instance)%rhoEdge(j,of)*abs(gdot_slip(j))*prm%dipoleFormationFactor
|
||||
endif
|
||||
endif significantSlipStress2
|
||||
|
||||
!* Spontaneous annihilation of 2 single edge dislocations
|
||||
DotRhoEdgeEdgeAnnihilation = &
|
||||
((2.0_pReal*EdgeDipMinDistance)/prm%burgers_slip(j))*&
|
||||
state(instance)%rhoEdge(j,of)*abs(gdot_slip(j))
|
||||
|
||||
DotRhoEdgeEdgeAnnihilation = ((2.0_pReal*EdgeDipMinDistance)/prm%burgers_slip(j))*&
|
||||
state(instance)%rhoEdge(j,of)*abs(gdot_slip(j))
|
||||
!* Spontaneous annihilation of a single edge dislocation with a dipole constituent
|
||||
DotRhoEdgeDipAnnihilation = ((2.0_pReal*EdgeDipMinDistance)/prm%burgers_slip(j)) &
|
||||
* state(instance)%rhoEdgeDip(j,of)*abs(gdot_slip(j))
|
||||
|
|
@ -1525,7 +1489,7 @@ subroutine plastic_dislotwin_dotState(Tstar_v,Temperature,ipc,ip,el)
|
|||
!* Dislocation dipole climb
|
||||
AtomicVolume = prm%CAtomicVolume*prm%burgers_slip(j)**(3.0_pReal) ! no need to calculate this over and over again
|
||||
VacancyDiffusion = prm%D0*exp(-prm%Qsd/(kB*Temperature))
|
||||
if (dEq0(tau_slip(j))) then
|
||||
if (dEq0(tau_slip)) then
|
||||
DotRhoEdgeDipClimb = 0.0_pReal
|
||||
else
|
||||
if (dEq0(EdgeDipDistance-EdgeDipMinDistance)) then
|
||||
|
|
@ -1537,72 +1501,62 @@ subroutine plastic_dislotwin_dotState(Tstar_v,Temperature,ipc,ip,el)
|
|||
(EdgeDipDistance-EdgeDipMinDistance)
|
||||
endif
|
||||
endif
|
||||
dotState(instance)%rhoEdge(j,of) = DotRhoMultiplication-DotRhoDipFormation-DotRhoEdgeEdgeAnnihilation
|
||||
dotState(instance)%rhoEdge(j,of) = DotRhoMultiplication-DotRhoDipFormation-DotRhoEdgeEdgeAnnihilation
|
||||
dotState(instance)%rhoEdgeDip(j,of) = DotRhoDipFormation-DotRhoEdgeDipAnnihilation-DotRhoEdgeDipClimb
|
||||
dotState(instance)%accshear_slip(j,of) = abs(gdot_slip(j))
|
||||
|
||||
enddo slipSystems
|
||||
|
||||
twinSystems: do j = 1_pInt, prm%totalNtwin
|
||||
tau_twin(j) = math_mul33xx33(S,prm%Schmid_slip(1:3,1:3,j))
|
||||
if (tau_twin(j) > tol_math_check) then
|
||||
StressRatio_r = (state(instance)%threshold_stress_twin(j,of)/&
|
||||
tau_twin(j))**prm%r(j)
|
||||
if (lattice_structure(ph) == LATTICE_FCC_ID) then
|
||||
tau_twin = math_mul33xx33(S,prm%Schmid_slip(1:3,1:3,j))
|
||||
significantTwinStress: if (tau_twin > tol_math_check) then
|
||||
StressRatio_r = (state(instance)%threshold_stress_twin(j,of)/tau_twin)**prm%r(j)
|
||||
isFCCtwin: if (lattice_structure(ph) == LATTICE_FCC_ID) then
|
||||
s1=prm%fcc_twinNucleationSlipPair(1,j)
|
||||
s2=prm%fcc_twinNucleationSlipPair(2,j)
|
||||
if (tau_twin(j) < tau_r_twin(j,instance)) then
|
||||
Ndot0_twin=(abs(gdot_slip(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+&
|
||||
if (tau_twin < tau_r_twin(j,instance)) then
|
||||
Ndot0_twin=(abs(gdot_slip(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+&
|
||||
abs(gdot_slip(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
|
||||
(prm%L0_twin*prm%burgers_slip(j))*&
|
||||
(1.0_pReal-exp(-prm%VcrossSlip/(kB*Temperature)*&
|
||||
(tau_r_twin(j,instance)-tau_twin(j))))
|
||||
else
|
||||
Ndot0_twin=0.0_pReal
|
||||
end if
|
||||
else
|
||||
Ndot0_twin=prm%Ndot0_twin(j)
|
||||
endif
|
||||
dotState(instance)%twinFraction(j,of) = &
|
||||
(1.0_pReal-sumf-sumftr)*&
|
||||
state(instance)%twinVolume(j,of)*Ndot0_twin*exp(-StressRatio_r)
|
||||
dotState(instance)%accshear_twin(j,of) = dotState(instance)%twinFraction(j,of) * &
|
||||
prm%shear_twin(j)
|
||||
endif
|
||||
(prm%L0_twin*prm%burgers_slip(j))*(1.0_pReal-exp(-prm%VcrossSlip/(kB*Temperature)*&
|
||||
(tau_r_twin(j,instance)-tau_twin)))
|
||||
else
|
||||
Ndot0_twin=0.0_pReal
|
||||
end if
|
||||
else isFCCtwin
|
||||
Ndot0_twin=prm%Ndot0_twin(j)
|
||||
endif isFCCtwin
|
||||
dotState(instance)%twinFraction(j,of) = (1.0_pReal-sumf-sumftr)*&
|
||||
state(instance)%twinVolume(j,of)*Ndot0_twin*exp(-StressRatio_r)
|
||||
dotState(instance)%accshear_twin(j,of) = dotState(instance)%twinFraction(j,of) * prm%shear_twin(j)
|
||||
endif significantTwinStress
|
||||
enddo twinSystems
|
||||
|
||||
transSystems: do j = 1_pInt, prm%totalNtrans
|
||||
|
||||
tau_trans(j) = math_mul33xx33(S,prm%Schmid_trans(1:3,1:3,j))
|
||||
|
||||
if (tau_trans(j) > tol_math_check) then
|
||||
StressRatio_s = (state(instance)%threshold_stress_trans(j,of)/&
|
||||
tau_trans(j))**prm%s(f)
|
||||
if (lattice_structure(ph) == LATTICE_FCC_ID) then
|
||||
tau_trans = math_mul33xx33(S,prm%Schmid_trans(1:3,1:3,j))
|
||||
significantTransStress: if (tau_trans > tol_math_check) then
|
||||
StressRatio_s = (state(instance)%threshold_stress_trans(j,of)/tau_trans)**prm%s(j)
|
||||
isFCCtrans: if (lattice_structure(ph) == LATTICE_FCC_ID) then
|
||||
s1=prm%fcc_twinNucleationSlipPair(1,j)
|
||||
s2=prm%fcc_twinNucleationSlipPair(2,j)
|
||||
if (tau_trans(j) < tau_r_trans(j,instance)) then
|
||||
Ndot0_trans=(abs(gdot_slip(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+&
|
||||
abs(gdot_slip(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
|
||||
(prm%L0_trans*prm%burgers_slip(j))*&
|
||||
(1.0_pReal-exp(-prm%VcrossSlip/(kB*Temperature)*&
|
||||
(tau_r_trans(j,instance)-tau_trans(j))))
|
||||
else
|
||||
Ndot0_trans=0.0_pReal
|
||||
end if
|
||||
else
|
||||
Ndot0_trans=prm%Ndot0_trans(j)
|
||||
endif
|
||||
dotState(instance)%strainTransFraction(j,of) = &
|
||||
(1.0_pReal-sumf-sumftr)*&
|
||||
state(instance)%martensiteVolume(j,of)*Ndot0_trans*exp(-StressRatio_s)
|
||||
if (tau_trans < tau_r_trans(j,instance)) then
|
||||
Ndot0_trans=(abs(gdot_slip(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+&
|
||||
abs(gdot_slip(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
|
||||
(prm%L0_trans*prm%burgers_slip(j))*(1.0_pReal-exp(-prm%VcrossSlip/(kB*Temperature)*&
|
||||
(tau_r_trans(j,instance)-tau_trans)))
|
||||
else
|
||||
Ndot0_trans=0.0_pReal
|
||||
end if
|
||||
else isFCCtrans
|
||||
Ndot0_trans=prm%Ndot0_trans(j)
|
||||
endif isFCCtrans
|
||||
dotState(instance)%strainTransFraction(j,of) = (1.0_pReal-sumf-sumftr)*&
|
||||
state(instance)%martensiteVolume(j,of)*Ndot0_trans*exp(-StressRatio_s)
|
||||
!* Dotstate for accumulated shear due to transformation
|
||||
!dotState(instance)%accshear_trans(j,of) = dotState(instance)%strainTransFraction(j,of) * &
|
||||
! lattice_sheartrans(index_myfamily+i,ph)
|
||||
endif
|
||||
|
||||
endif significantTransStress
|
||||
enddo transSystems
|
||||
end associate
|
||||
|
||||
end associate
|
||||
end subroutine plastic_dislotwin_dotState
|
||||
|
||||
|
||||
|
|
@ -1708,13 +1662,10 @@ function plastic_dislotwin_postResults(Tstar_v,Temperature,ipc,ip,el)
|
|||
!* Boltzmann ratio
|
||||
BoltzmannRatio = prm%Qedge(j)/(kB*Temperature)
|
||||
!* Initial shear rates
|
||||
DotGamma0 = &
|
||||
state(instance)%rhoEdge(j,of)*prm%burgers_slip(j)* &
|
||||
prm%v0(j)
|
||||
DotGamma0 = state(instance)%rhoEdge(j,of)*prm%burgers_slip(j)* prm%v0(j)
|
||||
|
||||
!* Shear rates due to slip
|
||||
plastic_dislotwin_postResults(c+j) = &
|
||||
DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
|
||||
plastic_dislotwin_postResults(c+j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
|
||||
prm%q(j))*sign(1.0_pReal,tau)
|
||||
else
|
||||
plastic_dislotwin_postResults(c+j) = 0.0_pReal
|
||||
|
|
|
|||
Loading…
Reference in New Issue