Martensite volume fraction evolution
This commit is contained in:
Su Leen Wong
parent
a8b157a87c
commit
51059abaf0
|
|
@ -1595,7 +1595,7 @@ subroutine plastic_dislotwin_microstructure(temperature,ipc,ip,el)
|
|||
state(ph)%invLambdaSlipTrans(1_pInt:ns,of) = 0.0_pReal
|
||||
if (nr > 0_pInt .and. ns > 0_pInt) &
|
||||
state(ph)%invLambdaSlipTrans(1_pInt:ns,of) = &
|
||||
ftransOverLamellarSize(1:nr)/(1.0_pReal-sumftr)
|
||||
matmul(plastic_dislotwin_interactionMatrix_SlipTrans(1:ns,1:nr,instance),ftransOverLamellarSize(1:nr))/(1.0_pReal-sumftr)
|
||||
|
||||
!* 1/mean free distance between 2 martensite stacks from different systems seen by a growing martensite (1/lambda_trans)
|
||||
if (nr > 0_pInt) &
|
||||
|
|
@ -1733,14 +1733,15 @@ subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
|
|||
real(pReal), dimension(9,9), intent(out) :: dLp_dTstar99
|
||||
|
||||
integer(pInt) :: instance,ph,of,ns,nt,nr,f,i,j,k,l,m,n,index_myFamily,s1,s2
|
||||
real(pReal) :: sumf,sumftr,StressRatio_p,StressRatio_pminus1,StressRatio_r,BoltzmannRatio,DotGamma0,Ndot0_twin,stressRatio
|
||||
real(pReal) :: sumf,sumftr,StressRatio_p,StressRatio_pminus1,StressRatio_r,BoltzmannRatio,DotGamma0,Ndot0_twin,stressRatio, &
|
||||
Ndot0_trans,StressRatio_s
|
||||
real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333
|
||||
real(pReal), dimension(plastic_dislotwin_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
||||
gdot_slip,dgdot_dtauslip,tau_slip
|
||||
real(pReal), dimension(plastic_dislotwin_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
||||
gdot_twin,dgdot_dtautwin,tau_twin
|
||||
real(pReal), dimension(plastic_dislotwin_totalNtrans(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
||||
V_trans,Vdot_trans,dVdot_dtautrans,tau_trans,fstress_trans
|
||||
gdot_trans,dgdot_dtautrans,tau_trans
|
||||
real(pReal), dimension(6) :: gdot_sb,dgdot_dtausb,tau_sb
|
||||
real(pReal), dimension(3,3) :: eigVectors, sb_Smatrix
|
||||
real(pReal), dimension(3) :: eigValues, sb_s, sb_m
|
||||
|
|
@ -1930,7 +1931,7 @@ subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
|
|||
end select
|
||||
gdot_twin(j) = &
|
||||
(1.0_pReal-sumf-sumftr)*lattice_shearTwin(index_myFamily+i,ph)*&
|
||||
state(ph)%twinvolume(j,of)*Ndot0_twin*exp(-StressRatio_r)
|
||||
state(ph)%twinVolume(j,of)*Ndot0_twin*exp(-StressRatio_r)
|
||||
dgdot_dtautwin(j) = ((gdot_twin(j)*plastic_dislotwin_rPerTwinFamily(f,instance))/tau_twin(j))*StressRatio_r
|
||||
endif
|
||||
|
||||
|
|
@ -1947,8 +1948,8 @@ subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
|
|||
enddo twinFamiliesLoop
|
||||
|
||||
!* Phase transformation part
|
||||
Vdot_trans = 0.0_pReal
|
||||
dVdot_dtautrans = 0.0_pReal
|
||||
gdot_trans = 0.0_pReal
|
||||
dgdot_dtautrans = 0.0_pReal
|
||||
j = 0_pInt
|
||||
transFamiliesLoop: do f = 1_pInt,lattice_maxNtransFamily
|
||||
index_myFamily = sum(lattice_NtransSystem(1:f-1_pInt,ph)) ! at which index starts my family
|
||||
|
|
@ -1958,27 +1959,39 @@ subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
|
|||
!* Resolved shear stress on transformation system
|
||||
tau_trans(j) = dot_product(Tstar_v,lattice_Strans_v(:,index_myFamily+i,ph))
|
||||
|
||||
!* Total martensite volume fraction for transformation system
|
||||
V_trans(j) = state(ph)%stressTransFraction(j,of) + state(ph)%strainTransFraction(j,of)
|
||||
|
||||
!* Driving force for stress-assisted martensite growth on transformation system
|
||||
fstress_trans(j) = tau_trans(j) - &
|
||||
plastic_dislotwin_Cdwp(instance)*(2*V_trans(j) - 6*V_trans(j)**2 + 4*V_trans(j)**3) - &
|
||||
12*plastic_dislotwin_deltaG(instance)*(V_trans(j)**2 - V_trans(j)**3)
|
||||
|
||||
!* Transformation rate of stress-assisted martensite and its derivative
|
||||
if (fstress_trans(j) > tol_math_check) then
|
||||
Vdot_trans(j) = plastic_dislotwin_Cgro(instance)*(1.0_pReal - sumf - sumftr)*fstress_trans(j)
|
||||
dVdot_dtautrans(j) = plastic_dislotwin_Cgro(instance)*(1.0_pReal - sumf - sumftr)
|
||||
!* Stress ratios
|
||||
if (tau_trans(j) > tol_math_check) then
|
||||
StressRatio_s = (state(ph)%threshold_stress_trans(j,of)/tau_trans(j))**plastic_dislotwin_sPerTransFamily(f,instance)
|
||||
!* Shear rates and their derivatives due to transformation
|
||||
select case(lattice_structure(ph))
|
||||
case (LATTICE_fcc_ID)
|
||||
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
|
||||
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
|
||||
if (tau_trans(j) < plastic_dislotwin_tau_r_trans(j,instance)) then
|
||||
Ndot0_trans=(abs(gdot_slip(s1))*(state(ph)%rhoEdge(s2,of)+state(ph)%rhoEdgeDip(s2,of))+& !!!!! correct?
|
||||
abs(gdot_slip(s2))*(state(ph)%rhoEdge(s1,of)+state(ph)%rhoEdgeDip(s1,of)))/&
|
||||
(plastic_dislotwin_L0_trans(instance)*plastic_dislotwin_burgersPerSlipSystem(j,instance))*&
|
||||
(1.0_pReal-exp(-plastic_dislotwin_VcrossSlip(instance)/(kB*Temperature)*&
|
||||
(plastic_dislotwin_tau_r_trans(j,instance)-tau_trans(j))))
|
||||
else
|
||||
Ndot0_trans=0.0_pReal
|
||||
end if
|
||||
case default
|
||||
Ndot0_trans=plastic_dislotwin_Ndot0PerTransSystem(j,instance)
|
||||
end select
|
||||
gdot_trans(j) = &
|
||||
(1.0_pReal-sumf-sumftr)*&
|
||||
state(ph)%martensiteVolume(j,of)*Ndot0_trans*exp(-StressRatio_s)
|
||||
dgdot_dtautrans(j) = ((gdot_trans(j)*plastic_dislotwin_sPerTransFamily(f,instance))/tau_trans(j))*StressRatio_s
|
||||
endif
|
||||
|
||||
!* Plastic velocity gradient for phase transformation
|
||||
Lp = Lp + Vdot_trans(j)*lattice_Strans(:,:,index_myFamily+i,ph)
|
||||
Lp = Lp + gdot_trans(j)*lattice_Strans(:,:,index_myFamily+i,ph)
|
||||
|
||||
!* 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) + dVdot_dtautrans(j)*&
|
||||
dLp_dTstar3333(k,l,m,n) + dgdot_dtautrans(j)*&
|
||||
lattice_Strans(k,l,index_myFamily+i,ph)*&
|
||||
lattice_Strans(m,n,index_myFamily+i,ph)
|
||||
|
||||
|
|
@ -2035,14 +2048,15 @@ subroutine plastic_dislotwin_dotState(Tstar_v,Temperature,ipc,ip,el)
|
|||
ph, &
|
||||
of
|
||||
real(pReal) :: sumf,sumftr,StressRatio_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,&
|
||||
EdgeDipMinDistance,AtomicVolume,VacancyDiffusion,StressRatio_r,Ndot0_twin,stressRatio
|
||||
EdgeDipMinDistance,AtomicVolume,VacancyDiffusion,StressRatio_r,Ndot0_twin,stressRatio,&
|
||||
Ndot0_trans,StressRatio_s
|
||||
real(pReal), dimension(plastic_dislotwin_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
||||
gdot_slip,tau_slip,DotRhoMultiplication,EdgeDipDistance,DotRhoEdgeEdgeAnnihilation,DotRhoEdgeDipAnnihilation,&
|
||||
ClimbVelocity,DotRhoEdgeDipClimb,DotRhoDipFormation
|
||||
real(pReal), dimension(plastic_dislotwin_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
||||
tau_twin
|
||||
real(pReal), dimension(plastic_dislotwin_totalNtrans(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
||||
V_trans,tau_trans,fstress_trans,shear_trans,shearrate_trans,probrate_trans
|
||||
tau_trans
|
||||
|
||||
!* Shortened notation
|
||||
of = mappingConstitutive(1,ipc,ip,el)
|
||||
|
|
@ -2162,7 +2176,6 @@ subroutine plastic_dislotwin_dotState(Tstar_v,Temperature,ipc,ip,el)
|
|||
StressRatio_r = (state(ph)%threshold_stress_twin(j,of)/&
|
||||
tau_twin(j))**plastic_dislotwin_rPerTwinFamily(f,instance)
|
||||
!* Shear rates and their derivatives due to twin
|
||||
|
||||
select case(lattice_structure(ph))
|
||||
case (LATTICE_fcc_ID)
|
||||
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
|
||||
|
|
@ -2190,66 +2203,43 @@ subroutine plastic_dislotwin_dotState(Tstar_v,Temperature,ipc,ip,el)
|
|||
enddo
|
||||
|
||||
!* Transformation volume fraction evolution
|
||||
shear_trans = 0.0_pReal
|
||||
shearrate_trans = 0.0_pReal
|
||||
probrate_trans = 0.0_pReal
|
||||
j = 0_pInt
|
||||
do f = 1_pInt,lattice_maxNtransFamily ! loop over all trans families
|
||||
index_myFamily = sum(lattice_NtransSystem(1:f-1_pInt,ph)) ! at which index starts my family
|
||||
|
||||
!* Projection of shear and shear rate on fault band (twin) systems
|
||||
if (nr > 0_pInt) then
|
||||
shear_trans = matmul(plastic_dislotwin_projectionMatrix_Trans(:,:,instance), &
|
||||
state(ph)%accshear_slip(1_pInt:ns,of))
|
||||
shearrate_trans = matmul(plastic_dislotwin_projectionMatrix_Trans(:,:,instance), &
|
||||
dotState(ph)%accshear_slip(1_pInt:ns,of))
|
||||
endif
|
||||
|
||||
do i = 1_pInt,plastic_dislotwin_Ntrans(f,instance) ! process each (active) trans system in family
|
||||
j = j+1_pInt
|
||||
|
||||
!* Resolved shear stress on transformation system
|
||||
tau_trans(j) = dot_product(Tstar_v,lattice_Strans_v(:,index_myFamily+i,ph))
|
||||
|
||||
!* Total martensite volume fraction for transformation system
|
||||
V_trans(j) = state(ph)%stressTransFraction(j,of) + state(ph)%strainTransFraction(j,of)
|
||||
|
||||
!* Driving force for stress-assisted martensite growth
|
||||
fstress_trans(j) = tau_trans(j) - &
|
||||
plastic_dislotwin_Cdwp(instance)*(2*V_trans(j) - 6*V_trans(j)**2 + 4*V_trans(j)**3) - &
|
||||
12*plastic_dislotwin_deltaG(instance)*(V_trans(j)**2 - V_trans(j)**3)
|
||||
|
||||
!* Dotstate for stress-assisted martensite volume fraction
|
||||
if (fstress_trans(j) > tol_math_check) then
|
||||
dotState(ph)%stressTransFraction(j,of) = plastic_dislotwin_Cgro(instance)*&
|
||||
(1.0_pReal - sumf - sumftr)*fstress_trans(j)
|
||||
else
|
||||
dotState(ph)%stressTransFraction(j,of) = 0.0_pReal
|
||||
endif
|
||||
|
||||
!* Probability rate of fault band intersection for strain-induced martensite nucleation
|
||||
!* Stress ratios
|
||||
if (tau_trans(j) > tol_math_check) then
|
||||
StressRatio_s = (state(ph)%threshold_stress_trans(j,of)/&
|
||||
tau_trans(j))**plastic_dislotwin_sPerTransFamily(f,instance)
|
||||
!* Shear rates and their derivatives due to transformation
|
||||
select case(lattice_structure(ph))
|
||||
case (LATTICE_fcc_ID)
|
||||
a = lattice_fccTobcc_transNucleationTwinPair(1,j)
|
||||
b = lattice_fccTobcc_transNucleationTwinPair(2,j)
|
||||
sa = sign(1_pInt, a)
|
||||
sb = sign(1_pInt, b)
|
||||
ssa = int(sign(1.0_pReal, shearrate_trans(a)),pInt)
|
||||
ssb = int(sign(1.0_pReal, shearrate_trans(b)),pInt)
|
||||
|
||||
if (sa == ssa .and. sb == ssb) then
|
||||
probrate_trans(j) = (abs(shear_trans(a)*shearrate_trans(b)) + abs(shear_trans(b)*shearrate_trans(a)))
|
||||
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
|
||||
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
|
||||
if (tau_trans(j) < plastic_dislotwin_tau_r_trans(j,instance)) then
|
||||
Ndot0_trans=(abs(gdot_slip(s1))*(state(ph)%rhoEdge(s2,of)+state(ph)%rhoEdgeDip(s2,of))+&
|
||||
abs(gdot_slip(s2))*(state(ph)%rhoEdge(s1,of)+state(ph)%rhoEdgeDip(s1,of)))/&
|
||||
(plastic_dislotwin_L0_trans(instance)*plastic_dislotwin_burgersPerSlipSystem(j,instance))*&
|
||||
(1.0_pReal-exp(-plastic_dislotwin_VcrossSlip(instance)/(kB*Temperature)*&
|
||||
(plastic_dislotwin_tau_r_trans(j,instance)-tau_trans(j))))
|
||||
else
|
||||
probrate_trans(j) = 0.0_pReal
|
||||
Ndot0_trans=0.0_pReal
|
||||
end if
|
||||
probrate_trans(j) = probrate_trans(j)/lattice_fccTobcc_shearCritTrans**2
|
||||
|
||||
!* Dotstate for strain-induced martensite volume fraction
|
||||
dotState(ph)%strainTransFraction(j,of) = plastic_dislotwin_Cnuc(instance)*&
|
||||
(1.0_pReal - sumf - sumftr)*probrate_trans(j)
|
||||
case default
|
||||
dotState(ph)%strainTransFraction(j,of) = 0.0_pReal
|
||||
Ndot0_trans=plastic_dislotwin_Ndot0PerTransSystem(j,instance)
|
||||
end select
|
||||
dotState(ph)%strainTransFraction(j,of) = &
|
||||
(1.0_pReal-sumf-sumftr)*&
|
||||
state(ph)%martensiteVolume(j,of)*Ndot0_trans*exp(-StressRatio_s)
|
||||
!* Dotstate for accumulated shear due to transformation
|
||||
!dotState(ph)%accshear_trans(j,of) = dotState(ph)%strainTransFraction(j,of) * &
|
||||
! lattice_sheartrans(index_myfamily+i,ph)
|
||||
endif
|
||||
|
||||
enddo
|
||||
enddo
|
||||
|
|
|
|||
Loading…
Reference in New Issue