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modified constitutive description in line with other dislocation density based models

This commit is contained in:
Franz Roters 2014-03-30 15:04:06 +00:00
parent 1195fe3b09
commit 7b27606000
1 changed files with 109 additions and 102 deletions
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code/constitutive_dislotwin.f90
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@ -840,18 +840,10 @@ function constitutive_dislotwin_stateInit(instance,phase)
constitutive_dislotwin_stateInit(5_pInt*ns+3_pInt*nt+1:6_pInt*ns+3_pInt*nt) = MeanFreePathSlip0 constitutive_dislotwin_stateInit(5_pInt*ns+3_pInt*nt+1:6_pInt*ns+3_pInt*nt) = MeanFreePathSlip0
forall (i = 1_pInt:ns) & forall (i = 1_pInt:ns) &
tauSlipThreshold0(i) = constitutive_dislotwin_SolidSolutionStrength(instance) + & tauSlipThreshold0(i) = &
lattice_mu(phase)*constitutive_dislotwin_burgersPerSlipSystem(i,instance) * & lattice_mu(phase)*constitutive_dislotwin_burgersPerSlipSystem(i,instance) * &
sqrt(dot_product((rhoEdge0+rhoEdgeDip0),constitutive_dislotwin_interactionMatrix_SlipSlip(i,1:ns,instance))) sqrt(dot_product((rhoEdge0+rhoEdgeDip0),constitutive_dislotwin_interactionMatrix_SlipSlip(i,1:ns,instance)))
if (lattice_structure(phase) == lattice_bcc_ID) then
j = 0_pInt
slipFamiliesLoop: do f = 1_pInt,lattice_maxNslipFamily
slipSystemsLoop: do i = 1_pInt,constitutive_dislotwin_Nslip(f,instance)
j = j+1_pInt
tauSlipThreshold0(j) = tauSlipThreshold0(j) + constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance)
enddo slipSystemsLoop
enddo slipFamiliesLoop
endif
constitutive_dislotwin_stateInit(6_pInt*ns+4_pInt*nt+1:7_pInt*ns+4_pInt*nt) = tauSlipThreshold0 constitutive_dislotwin_stateInit(6_pInt*ns+4_pInt*nt+1:7_pInt*ns+4_pInt*nt) = tauSlipThreshold0
@ -970,7 +962,8 @@ subroutine constitutive_dislotwin_microstructure(temperature,state,ipc,ip,el)
lattice_structure, & lattice_structure, &
lattice_mu, & lattice_mu, &
lattice_nu, & lattice_nu, &
lattice_bcc_ID lattice_bcc_ID, &
lattice_maxNslipFamily
implicit none implicit none
@ -1063,13 +1056,11 @@ subroutine constitutive_dislotwin_microstructure(temperature,state,ipc,ip,el)
(1.0_pReal+constitutive_dislotwin_GrainSize(instance)*state%p(5_pInt*ns+2_pInt*nt+t)) (1.0_pReal+constitutive_dislotwin_GrainSize(instance)*state%p(5_pInt*ns+2_pInt*nt+t))
!* threshold stress for dislocation motion !* threshold stress for dislocation motion
if(lattice_structure(phase) /= LATTICE_BCC_ID) then ! bcc value remains constant forall (s = 1_pInt:ns) &
forall (s = 1_pInt:ns) & state%p(6_pInt*ns+4_pInt*nt+s) = &
state%p(6_pInt*ns+4_pInt*nt+s) = constitutive_dislotwin_SolidSolutionStrength(instance)+ & lattice_mu(phase)*constitutive_dislotwin_burgersPerSlipSystem(s,instance)*&
lattice_mu(phase)*constitutive_dislotwin_burgersPerSlipSystem(s,instance)*& sqrt(dot_product((state%p(1:ns)+state%p(ns+1_pInt:2_pInt*ns)),&
sqrt(dot_product((state%p(1:ns)+state%p(ns+1_pInt:2_pInt*ns)),& constitutive_dislotwin_interactionMatrix_SlipSlip(s,1:ns,instance)))
constitutive_dislotwin_interactionMatrix_SlipSlip(s,1:ns,instance)))
endif
!* threshold stress for growing twin !* threshold stress for growing twin
forall (t = 1_pInt:nt) & forall (t = 1_pInt:nt) &
@ -1196,34 +1187,34 @@ subroutine constitutive_dislotwin_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperat
!* Calculation of Lp !* Calculation of Lp
!* Resolved shear stress on slip system !* Resolved shear stress on slip system
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,phase)) tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,phase))
if((abs(tau_slip(j))-state%p(6*ns+4*nt+j)) > tol_math_check) then
!* Stress ratios !* Stress ratios
if (abs(tau_slip(j)) < tol_math_check) then StressRatio_p = ((abs(tau_slip(j))-state%p(6*ns+4*nt+j))/&
StressRatio_p = 0.0_pReal (constitutive_dislotwin_SolidSolutionStrength(instance)+constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance)))&
StressRatio_pminus1 = 0.0_pReal
else
StressRatio_p = (abs(tau_slip(j))/state%p(6*ns+4*nt+j))&
**constitutive_dislotwin_pPerSlipFamily(f,instance) **constitutive_dislotwin_pPerSlipFamily(f,instance)
StressRatio_pminus1 = (abs(tau_slip(j))/state%p(6*ns+4*nt+j))& StressRatio_pminus1 = ((abs(tau_slip(j))-state%p(6*ns+4*nt+j))/&
(constitutive_dislotwin_SolidSolutionStrength(instance)+constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance)))&
**(constitutive_dislotwin_pPerSlipFamily(f,instance)-1.0_pReal) **(constitutive_dislotwin_pPerSlipFamily(f,instance)-1.0_pReal)
endif
!* Boltzmann ratio !* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates !* Initial shear rates
DotGamma0 = & DotGamma0 = &
state%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,instance)*& state%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,instance)*&
constitutive_dislotwin_v0PerSlipSystem(j,instance) constitutive_dislotwin_v0PerSlipSystem(j,instance)
!* Shear rates due to slip !* Shear rates due to slip
gdot_slip(j) = (1.0_pReal - sumf) * DotGamma0 & gdot_slip(j) = (1.0_pReal - sumf) * DotGamma0 &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislotwin_qPerSlipFamily(f,instance)) & * exp(-BoltzmannRatio*(1-StressRatio_p) ** constitutive_dislotwin_qPerSlipFamily(f,instance)) &
* sign(1.0_pReal,tau_slip(j)) * sign(1.0_pReal,tau_slip(j))
!* Derivatives of shear rates !* Derivatives of shear rates
dgdot_dtauslip(j) = & dgdot_dtauslip(j) = &
((abs(gdot_slip(j))*BoltzmannRatio*constitutive_dislotwin_pPerSlipFamily(f,instance)& abs(gdot_slip(j))*BoltzmannRatio*constitutive_dislotwin_pPerSlipFamily(f,instance)&
*constitutive_dislotwin_qPerSlipFamily(f,instance))/state%p(6*ns+4*nt+j))*& *constitutive_dislotwin_qPerSlipFamily(f,instance)/&
StressRatio_pminus1*(1-StressRatio_p)**(constitutive_dislotwin_qPerSlipFamily(f,instance)-1.0_pReal) (constitutive_dislotwin_SolidSolutionStrength(instance)+constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance))*&
StressRatio_pminus1*(1-StressRatio_p)**(constitutive_dislotwin_qPerSlipFamily(f,instance)-1.0_pReal)
endif
!* Plastic velocity gradient for dislocation glide !* Plastic velocity gradient for dislocation glide
Lp = Lp + gdot_slip(j)*lattice_Sslip(:,:,1,index_myFamily+i,phase) Lp = Lp + gdot_slip(j)*lattice_Sslip(:,:,1,index_myFamily+i,phase)
@ -1425,25 +1416,25 @@ pure function constitutive_dislotwin_dotState(Tstar_v,Temperature,state,ipc,ip,e
!* Resolved shear stress on slip system !* Resolved shear stress on slip system
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,phase)) tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,phase))
if (abs(tau_slip(j)) < tol_math_check) then if((abs(tau_slip(j))-state%p(6*ns+4*nt+j)) > tol_math_check) then
StressRatio_p = 0.0_pReal !* Stress ratios
StressRatio_pminus1 = 0.0_pReal StressRatio_p = ((abs(tau_slip(j))-state%p(6*ns+4*nt+j))/&
else (constitutive_dislotwin_SolidSolutionStrength(instance)+constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance)))&
StressRatio_p = (abs(tau_slip(j))/state%p(6_pInt*ns+4_pInt*nt+j))**& **constitutive_dislotwin_pPerSlipFamily(f,instance)
constitutive_dislotwin_pPerSlipFamily(f,instance) StressRatio_pminus1 = ((abs(tau_slip(j))-state%p(6*ns+4*nt+j))/&
StressRatio_pminus1 = (abs(tau_slip(j))/state%p(6_pInt*ns+4_pInt*nt+j))**& (constitutive_dislotwin_SolidSolutionStrength(instance)+constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance)))&
(constitutive_dislotwin_pPerSlipFamily(f,instance)-1.0_pReal) **(constitutive_dislotwin_pPerSlipFamily(f,instance)-1.0_pReal)
endif
!* Boltzmann ratio !* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates !* Initial shear rates
DotGamma0 = & DotGamma0 = &
state%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,instance)*& state%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,instance)*&
constitutive_dislotwin_v0PerSlipSystem(j,instance) constitutive_dislotwin_v0PerSlipSystem(j,instance)
!* Shear rates due to slip !* Shear rates due to slip
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)** & gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)** &
constitutive_dislotwin_qPerSlipFamily(f,instance))*sign(1.0_pReal,tau_slip(j)) constitutive_dislotwin_qPerSlipFamily(f,instance))*sign(1.0_pReal,tau_slip(j))
endif
!* Multiplication !* Multiplication
DotRhoMultiplication(j) = abs(gdot_slip(j))/& DotRhoMultiplication(j) = abs(gdot_slip(j))/&
@ -1641,26 +1632,31 @@ function constitutive_dislotwin_postResults(Tstar_v,Temperature,state,ipc,ip,el)
!* Resolved shear stress on slip system !* Resolved shear stress on slip system
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,phase)) tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,phase))
!* Stress ratios !* Stress ratios
if (abs(tau) < tol_math_check) then if((abs(tau)-state%p(6*ns+4*nt+j)) > tol_math_check) then
StressRatio_p = 0.0_pReal !* Stress ratios
StressRatio_pminus1 = 0.0_pReal StressRatio_p = ((abs(tau)-state%p(6*ns+4*nt+j))/&
else (constitutive_dislotwin_SolidSolutionStrength(instance)+&
StressRatio_p = (abs(tau)/state%p(6_pInt*ns+4_pInt*nt+j))**& constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance)))&
constitutive_dislotwin_pPerSlipFamily(f,instance) **constitutive_dislotwin_pPerSlipFamily(f,instance)
StressRatio_pminus1 = (abs(tau)/state%p(6_pInt*ns+4_pInt*nt+j))**& StressRatio_pminus1 = ((abs(tau)-state%p(6*ns+4*nt+j))/&
(constitutive_dislotwin_pPerSlipFamily(f,instance)-1.0_pReal) (constitutive_dislotwin_SolidSolutionStrength(instance)+&
endif constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance)))&
**(constitutive_dislotwin_pPerSlipFamily(f,instance)-1.0_pReal)
!* Boltzmann ratio !* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates !* Initial shear rates
DotGamma0 = & DotGamma0 = &
state%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,instance)* & state%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,instance)* &
constitutive_dislotwin_v0PerSlipSystem(j,instance) constitutive_dislotwin_v0PerSlipSystem(j,instance)
!* Shear rates due to slip !* Shear rates due to slip
constitutive_dislotwin_postResults(c+j) = & constitutive_dislotwin_postResults(c+j) = &
DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**& DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
constitutive_dislotwin_qPerSlipFamily(f,instance))*sign(1.0_pReal,tau) constitutive_dislotwin_qPerSlipFamily(f,instance))*sign(1.0_pReal,tau)
else
constitutive_dislotwin_postResults(c+j) = 0.0_pReal
endif
enddo ; enddo enddo ; enddo
c = c + ns c = c + ns
case (accumulated_shear_slip_ID) case (accumulated_shear_slip_ID)
@ -1742,25 +1738,29 @@ function constitutive_dislotwin_postResults(Tstar_v,Temperature,state,ipc,ip,el)
!* Resolved shear stress on slip system !* Resolved shear stress on slip system
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,phase)) tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,phase))
!* Stress ratios !* Stress ratios
if (abs(tau) < tol_math_check) then if((abs(tau)-state%p(6*ns+4*nt+j)) > tol_math_check) then
StressRatio_p = 0.0_pReal !* Stress ratios
StressRatio_pminus1 = 0.0_pReal StressRatio_p = ((abs(tau)-state%p(6*ns+4*nt+j))/&
else (constitutive_dislotwin_SolidSolutionStrength(instance)+&
StressRatio_p = (abs(tau)/state%p(5_pInt*ns+3_pInt*nt+j))**& constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance)))&
constitutive_dislotwin_pPerSlipFamily(f,instance) **constitutive_dislotwin_pPerSlipFamily(f,instance)
StressRatio_pminus1 = (abs(tau)/state%p(5_pInt*ns+3_pInt*nt+j))**& StressRatio_pminus1 = ((abs(tau)-state%p(6*ns+4*nt+j))/&
(constitutive_dislotwin_pPerSlipFamily(f,instance)-1.0_pReal) (constitutive_dislotwin_SolidSolutionStrength(instance)+&
endif constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance)))&
**(constitutive_dislotwin_pPerSlipFamily(f,instance)-1.0_pReal)
!* Boltzmann ratio !* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates !* Initial shear rates
DotGamma0 = & DotGamma0 = &
state%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,instance)* & state%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,instance)* &
constitutive_dislotwin_v0PerSlipSystem(j,instance) constitutive_dislotwin_v0PerSlipSystem(j,instance)
!* Shear rates due to slip !* Shear rates due to slip
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**& gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
constitutive_dislotwin_qPerSlipFamily(f,instance))*sign(1.0_pReal,tau) constitutive_dislotwin_qPerSlipFamily(f,instance))*sign(1.0_pReal,tau)
else
gdot_slip(j) = 0.0_pReal
endif
enddo;enddo enddo;enddo
j = 0_pInt j = 0_pInt
@ -1830,32 +1830,39 @@ function constitutive_dislotwin_postResults(Tstar_v,Temperature,state,ipc,ip,el)
!* Resolved shear stress on slip system !* Resolved shear stress on slip system
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,phase)) tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,phase))
if (abs(tau) < tol_math_check) then if((abs(tau)-state%p(6*ns+4*nt+j)) > tol_math_check) then
StressRatio_p = 0.0_pReal !* Stress ratios
StressRatio_pminus1 = 0.0_pReal StressRatio_p = ((abs(tau)-state%p(6*ns+4*nt+j))/&
else (constitutive_dislotwin_SolidSolutionStrength(instance)+&
StressRatio_p = (abs(tau)/state%p(6_pInt*ns+4_pInt*nt+j))**& constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance)))&
constitutive_dislotwin_pPerSlipFamily(f,instance) **constitutive_dislotwin_pPerSlipFamily(f,instance)
StressRatio_pminus1 = (abs(tau)/state%p(6_pInt*ns+4_pInt*nt+j))**& StressRatio_pminus1 = ((abs(tau)-state%p(6*ns+4*nt+j))/&
(constitutive_dislotwin_pPerSlipFamily(f,instance)-1.0_pReal) (constitutive_dislotwin_SolidSolutionStrength(instance)+&
endif constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance)))&
**(constitutive_dislotwin_pPerSlipFamily(f,instance)-1.0_pReal)
!* Boltzmann ratio !* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,instance)/(kB*Temperature) BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates !* Initial shear rates
DotGamma0 = & DotGamma0 = &
state%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,instance)* & state%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,instance)* &
constitutive_dislotwin_v0PerSlipSystem(j,instance) constitutive_dislotwin_v0PerSlipSystem(j,instance)
!* Shear rates due to slip !* Shear rates due to slip
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**& gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
constitutive_dislotwin_qPerSlipFamily(f,instance))*sign(1.0_pReal,tau) constitutive_dislotwin_qPerSlipFamily(f,instance))*sign(1.0_pReal,tau)
!* Derivatives of shear rates !* Derivatives of shear rates
dgdot_dtauslip = & dgdot_dtauslip = &
((abs(gdot_slip(j))*BoltzmannRatio*& abs(gdot_slip(j))*BoltzmannRatio*constitutive_dislotwin_pPerSlipFamily(f,instance)&
constitutive_dislotwin_pPerSlipFamily(f,instance)*constitutive_dislotwin_qPerSlipFamily(f,instance))/& *constitutive_dislotwin_qPerSlipFamily(f,instance)/&
state%p(6*ns+4*nt+j))*StressRatio_pminus1*(1_pInt-StressRatio_p)**& (constitutive_dislotwin_SolidSolutionStrength(instance)+&
(constitutive_dislotwin_qPerSlipFamily(f,instance)-1.0_pReal) constitutive_dislotwin_tau_peierlsPerSlipFamily(f,instance))*&
StressRatio_pminus1*(1-StressRatio_p)**(constitutive_dislotwin_qPerSlipFamily(f,instance)-1.0_pReal)
else
gdot_slip(j) = 0.0_pReal
dgdot_dtauslip = 0.0_pReal
endif
!* Stress exponent !* Stress exponent
if (gdot_slip(j)==0.0_pReal) then if (gdot_slip(j)==0.0_pReal) then