avoid repeated calculations
does not save so much here, but avoids having inconsistent calculation (e.g. nonSchmid effects) and serves as a template for more complex models
This commit is contained in:
Martin Diehl
parent
cf65aae92a
commit
c9208315f5
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@ -521,14 +521,18 @@ subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMstar99,Mstar_v,ipc,ip,
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j,k,l,m,n, &
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of
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real(pReal) :: &
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tau_slip_pos,tau_slip_neg, &
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gdot_slip_pos,gdot_slip_neg, &
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dgdot_dtauslip_pos,dgdot_dtauslip_neg, &
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gdot_twin,dgdot_dtautwin,tau_twin
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dgdot_dtautwin
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real(pReal), dimension(3,3) :: &
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S !< Second-Piola Kirchhoff stress
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real(pReal), dimension(3,3,3,3) :: &
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dLp_dS !< derivative of Lp with respect to Mstar as 4th order tensor
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real(pReal), dimension(param(phase_plasticityInstance(material_phase(ipc,ip,el)))%totalNslip) :: &
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tau_slip_pos,tau_slip_neg, &
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gdot_slip_pos,gdot_slip_neg
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real(pReal), dimension(param(phase_plasticityInstance(material_phase(ipc,ip,el)))%totalNtwin) :: &
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gdot_twin,tau_twin
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type(tParameters) :: prm
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type(tPhenopowerlawState) :: stt
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@ -542,47 +546,33 @@ subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMstar99,Mstar_v,ipc,ip,
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S = math_Mandel6to33(Mstar_v)
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call resolvedStress_slip(prm,S,tau_slip_pos,tau_slip_neg)
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call shearRates_slip(prm,stt,of,tau_slip_pos,tau_slip_neg,gdot_slip_pos,gdot_slip_neg)
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slipSystems: do j = 1_pInt, prm%totalNslip
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tau_slip_pos = math_mul33xx33(S,prm%Schmid_slip(1:3,1:3,j))
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tau_slip_neg = tau_slip_pos
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do k = 1,size(prm%nonSchmidCoeff)
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tau_slip_pos = tau_slip_pos + math_mul33xx33(S,prm%nonSchmid_pos(1:3,1:3,k,j))
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tau_slip_neg = tau_slip_neg + math_mul33xx33(S,prm%nonSchmid_neg(1:3,1:3,k,j))
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enddo
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gdot_slip_pos = 0.5_pReal*prm%gdot0_slip &
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* sign(abs(tau_slip_pos/stt%s_slip(j,of))**prm%n_slip, tau_slip_pos)
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gdot_slip_neg = 0.5_pReal*prm%gdot0_slip &
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* sign(abs(tau_slip_neg/stt%s_slip(j,of))**prm%n_slip, tau_slip_neg)
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Lp = Lp + (1.0_pReal-stt%sumF(of))*(gdot_slip_pos+gdot_slip_neg)*prm%Schmid_slip(1:3,1:3,j)
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if (dNeq0(tau_slip_pos)) then
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dgdot_dtauslip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos
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Lp = Lp + (1.0_pReal-stt%sumF(of))*(gdot_slip_pos(j)+gdot_slip_neg(j))*prm%Schmid_slip(1:3,1:3,j)
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if (dNeq0(tau_slip_pos(j))) then
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dgdot_dtauslip_pos = gdot_slip_pos(j)*prm%n_slip/tau_slip_pos(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_dS(k,l,m,n) = dLp_dS(k,l,m,n) &
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+ dgdot_dtauslip_pos * prm%Schmid_slip(k,l,j) &
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*(prm%Schmid_slip(m,n,j) + sum(prm%nonSchmid_pos(m,n,:,j)))
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endif
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if (dNeq0(tau_slip_neg)) then
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dgdot_dtauslip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg
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if (dNeq0(tau_slip_neg(j))) then
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dgdot_dtauslip_neg = gdot_slip_neg(j)*prm%n_slip/tau_slip_neg(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_dS(k,l,m,n) = dLp_dS(k,l,m,n) &
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+ dgdot_dtauslip_neg * prm%Schmid_slip(k,l,j) &
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*(prm%Schmid_slip(m,n,j) + sum(prm%nonSchmid_neg(m,n,:,j)))
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endif
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enddo slipSystems
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call resolvedStress_twin(prm,S,tau_twin)
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call shearRates_twin(prm,stt,of,tau_twin,gdot_twin)
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twinSystems: do j = 1_pInt, prm%totalNtwin
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Lp = Lp + gdot_twin(j)*prm%Schmid_twin(1:3,1:3,j)
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tau_twin = math_mul33xx33(S,prm%Schmid_twin(1:3,1:3,j))
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gdot_twin = (1.0_pReal-stt%sumF(of))*prm%gdot0_twin*(abs(tau_twin)/stt%s_twin(j,of))**prm%n_twin &
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* max(0.0_pReal,sign(1.0_pReal,tau_twin))
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Lp = Lp + gdot_twin*prm%Schmid_twin(1:3,1:3,j)
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if (dNeq0(gdot_twin)) then
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dgdot_dtautwin = gdot_twin*prm%n_twin/tau_twin
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if (dNeq0(gdot_twin(j))) then
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dgdot_dtautwin = gdot_twin(j)*prm%n_twin/tau_twin(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_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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@ -622,15 +612,17 @@ subroutine plastic_phenopowerlaw_dotState(Mstar6,ipc,ip,el)
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of
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real(pReal) :: &
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c_SlipSlip,c_TwinSlip,c_TwinTwin, &
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ssat_offset, &
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tau_slip_pos,tau_slip_neg,tau_twin
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ssat_offset
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real(pReal), dimension(3,3) :: &
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S !< Second-Piola Kirchhoff stress
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real(pReal), dimension(param(phase_plasticityInstance(material_phase(ipc,ip,el)))%totalNslip) :: &
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gdot_slip,left_SlipSlip,right_SlipSlip
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real(pReal), dimension(param(phase_plasticityInstance(material_phase(ipc,ip,el)))%totalNslip) :: &
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tau_slip_pos,tau_slip_neg, &
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gdot_slip_pos,gdot_slip_neg
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real(pReal), dimension(param(phase_plasticityInstance(material_phase(ipc,ip,el)))%totalNtwin) :: &
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gdot_twin
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gdot_twin,tau_twin
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type(tParameters) :: prm
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type(tPhenopowerlawState) :: dst,stt
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@ -643,6 +635,14 @@ subroutine plastic_phenopowerlaw_dotState(Mstar6,ipc,ip,el)
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dst%whole(:,of) = 0.0_pReal
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S = math_Mandel6to33(Mstar6)
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!--------------------------------------------------------------------------------------------------
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! shear rates
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call resolvedStress_slip(prm,S,tau_slip_pos,tau_slip_neg)
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call shearRates_slip(prm,stt,of,tau_slip_pos,tau_slip_neg,gdot_slip_pos,gdot_slip_neg)
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gdot_slip = 0.5_pReal*(gdot_slip_pos+gdot_slip_neg)
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call resolvedStress_twin(prm,S,tau_twin)
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call shearRates_twin(prm,stt,of,tau_twin,gdot_twin)
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!--------------------------------------------------------------------------------------------------
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! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices
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c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%twinC*stt%sumF(of)** prm%twinB)
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@ -657,46 +657,137 @@ subroutine plastic_phenopowerlaw_dotState(Mstar6,ipc,ip,el)
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right_SlipSlip(j) = abs(1.0_pReal-stt%s_slip(j,of) / (prm%tausat_slip(j)+ssat_offset)) **prm%a_slip &
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* sign(1.0_pReal,1.0_pReal-stt%s_slip(j,of) / (prm%tausat_slip(j)+ssat_offset))
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tau_slip_pos = math_mul33xx33(S,prm%Schmid_slip(1:3,1:3,j))
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tau_slip_neg = tau_slip_pos
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nonSchmidSystems: do k = 1,size(prm%nonSchmidCoeff)
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tau_slip_pos = tau_slip_pos + math_mul33xx33(S,prm%nonSchmid_pos(1:3,1:3,k,j))
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tau_slip_neg = tau_slip_neg + math_mul33xx33(S,prm%nonSchmid_neg(1:3,1:3,k,j))
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enddo nonSchmidSystems
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gdot_slip(j) = prm%gdot0_slip*0.5_pReal* & !ToDo: save to dotState
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( sign(abs(tau_slip_pos/stt%s_slip(j,of))**prm%n_slip, tau_slip_pos) &
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+ sign(abs(tau_slip_neg/stt%s_slip(j,of))**prm%n_slip, tau_slip_neg))
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enddo slipSystems
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twinSystems: do j = 1_pInt, prm%totalNtwin
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tau_twin = math_mul33xx33(S,prm%Schmid_twin(1:3,1:3,j))
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gdot_twin(j) = (1.0_pReal-stt%sumF(of))*prm%gdot0_twin* abs(tau_twin/stt%s_twin(j,of))**prm%n_twin & !ToDo: save to dotState
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* max(0.0_pReal,sign(1.0_pReal,tau_twin))
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enddo twinSystems
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!--------------------------------------------------------------------------------------------------
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! calculate the overall hardening based on above
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do j = 1_pInt, prm%totalNslip
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! hardening
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hardeningSlip: do j = 1_pInt, prm%totalNslip
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dst%s_slip(j,of) = c_SlipSlip * left_SlipSlip(j) * & ! evolution of slip resistance j
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dot_product(prm%interaction_SlipSlip(j,1:prm%totalNslip),right_SlipSlip*abs(gdot_slip)) + & ! dot gamma_slip modulated by right-side slip factor
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dot_product(prm%interaction_SlipTwin(j,1:prm%totalNtwin),gdot_twin) ! dot gamma_twin modulated by right-side twin factor
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enddo
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enddo hardeningSlip
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dst%sumGamma(of) = dst%sumGamma(of) + sum(abs(gdot_slip))
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dst%accshear_slip(1:prm%totalNslip,of) = abs(gdot_slip)
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do j = 1_pInt, prm%totalNtwin
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hardeningTwin: do j = 1_pInt, prm%totalNtwin
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dst%s_twin(j,of) = & ! evolution of twin resistance j
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c_TwinSlip * dot_product(prm%interaction_TwinSlip(j,1:prm%totalNslip),abs(gdot_slip)) + & ! dot gamma_slip modulated by right-side slip factor
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c_TwinTwin * dot_product(prm%interaction_TwinTwin(j,1:prm%totalNtwin),gdot_twin) ! dot gamma_twin modulated by right-side twin factor
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if (stt%sumF(of) < 0.98_pReal) & ! ensure twin volume fractions stays below 1.0
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dst%sumF(of) = dst%sumF(of) + gdot_twin(j)/prm%shear_twin(j)
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dst%accshear_twin(j,of) = abs(gdot_twin(j))
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enddo
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enddo hardeningTwin
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end associate
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end subroutine plastic_phenopowerlaw_dotState
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates shear rates on slip systems
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!--------------------------------------------------------------------------------------------------
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subroutine shearRates_slip(prm,stt,of,tau_slip_pos,tau_slip_neg,gdot_slip_pos,gdot_slip_neg)
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implicit none
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type(tParameters), intent(in) :: &
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prm
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type(tPhenopowerlawState), intent(in) :: &
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stt
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integer(pInt), intent(in) :: &
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of
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real, dimension(prm%totalNslip), intent(in) :: &
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tau_slip_pos, &
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tau_slip_neg
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real, dimension(prm%totalNslip), intent(out) :: &
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gdot_slip_pos, &
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gdot_slip_neg
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integer(pInt) :: j
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gdot_slip_pos = 0.5_pReal*prm%gdot0_slip &
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* sign(abs(tau_slip_pos/stt%s_slip(:,of))**prm%n_slip, tau_slip_pos)
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gdot_slip_neg = 0.5_pReal*prm%gdot0_slip &
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* sign(abs(tau_slip_neg/stt%s_slip(:,of))**prm%n_slip, tau_slip_neg)
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end subroutine shearRates_slip
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates shear rates on twin systems
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!--------------------------------------------------------------------------------------------------
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subroutine shearRates_twin(prm,stt,of,tau_twin,gdot_twin)
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implicit none
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type(tParameters), intent(in) :: &
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prm
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type(tPhenopowerlawState), intent(in) :: &
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stt
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integer(pInt), intent(in) :: &
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of
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real, dimension(prm%totalNtwin), intent(in) :: &
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tau_twin
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real, dimension(prm%totalNtwin), intent(out) :: &
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gdot_twin
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gdot_twin = merge((1.0_pReal-stt%sumF(of))*prm%gdot0_twin * &
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(abs(tau_twin)/stt%s_twin(:,of))**prm%n_twin, &
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0.0_pReal, tau_twin>0.0_pReal)
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end subroutine shearRates_twin
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates resolved stress on slip systems
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!--------------------------------------------------------------------------------------------------
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subroutine resolvedStress_slip(prm,S,tau_slip_pos,tau_slip_neg)
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use math, only: &
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math_mul33xx33
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implicit none
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type(tParameters), intent(in) :: &
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prm
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real(pReal), dimension(3,3), intent(in) :: &
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S
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real, dimension(prm%totalNslip), intent(out) :: &
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tau_slip_pos, &
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tau_slip_neg
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integer(pInt) :: j, k
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do j = 1_pInt, prm%totalNslip
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tau_slip_pos = math_mul33xx33(S,prm%Schmid_slip(1:3,1:3,j))
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tau_slip_neg = tau_slip_pos
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do k = 1,size(prm%nonSchmidCoeff)
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tau_slip_pos = tau_slip_pos + math_mul33xx33(S,prm%nonSchmid_pos(1:3,1:3,k,j))
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tau_slip_neg = tau_slip_neg + math_mul33xx33(S,prm%nonSchmid_neg(1:3,1:3,k,j))
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enddo
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enddo
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end subroutine resolvedStress_slip
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates resolved stress on twin systems
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!--------------------------------------------------------------------------------------------------
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subroutine resolvedStress_twin(prm,S,tau_twin)
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use math, only: &
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math_mul33xx33
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implicit none
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type(tParameters), intent(in) :: &
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prm
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real(pReal), dimension(3,3), intent(in) :: &
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S
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real, dimension(prm%totalNtwin), intent(out) :: &
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tau_twin
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integer(pInt) :: j
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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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enddo
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end subroutine resolvedStress_twin
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!--------------------------------------------------------------------------------------------------
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!> @brief return array of constitutive results
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!--------------------------------------------------------------------------------------------------
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@ -726,8 +817,11 @@ function plastic_phenopowerlaw_postResults(Mstar6,ipc,ip,el) result(postResults)
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integer(pInt) :: &
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of, &
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o,c,j,k
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real(pReal) :: &
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tau_slip_pos,tau_slip_neg,tau_twin
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real(pReal), dimension(param(phase_plasticityInstance(material_phase(ipc,ip,el)))%totalNslip) :: &
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tau_slip_pos,tau_slip_neg, &
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gdot_slip_pos,gdot_slip_neg
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real(pReal), dimension(param(phase_plasticityInstance(material_phase(ipc,ip,el)))%totalNtwin) :: &
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gdot_twin,tau_twin
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type(tParameters) :: prm
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type(tPhenopowerlawState) :: stt
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@ -751,23 +845,14 @@ function plastic_phenopowerlaw_postResults(Mstar6,ipc,ip,el) result(postResults)
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c = c + prm%totalNslip
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case (shearrate_slip_ID)
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do j = 1_pInt, prm%totalNslip
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tau_slip_pos = math_mul33xx33(S,prm%Schmid_slip(1:3,1:3,j))
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tau_slip_neg = tau_slip_pos
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nonSchmidSystems: do k = 1,size(prm%nonSchmidCoeff)
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tau_slip_pos = tau_slip_pos + math_mul33xx33(S,prm%nonSchmid_pos(1:3,1:3,k,j))
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tau_slip_neg = tau_slip_neg + math_mul33xx33(S,prm%nonSchmid_neg(1:3,1:3,k,j))
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enddo nonSchmidSystems
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postResults(c+j) = prm%gdot0_slip*0.5_pReal* &
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( sign(abs(tau_slip_pos/stt%s_slip(j,of))**prm%n_slip, tau_slip_pos) &
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+sign(abs(tau_slip_neg/stt%s_slip(j,of))**prm%n_slip, tau_slip_neg))
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enddo
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call resolvedStress_slip(prm,S,tau_slip_pos,tau_slip_neg)
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call shearRates_slip(prm,stt,of,tau_slip_pos,tau_slip_neg,gdot_slip_pos,gdot_slip_neg)
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postResults(c+1_pInt:c+prm%totalNslip) = gdot_slip_pos+gdot_slip_neg
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c = c + prm%totalNslip
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case (resolvedstress_slip_ID)
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do j = 1_pInt, prm%totalNslip
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postResults(c+j) = math_mul33xx33(S,prm%Schmid_slip(1:3,1:3,j))
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enddo
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call resolvedStress_slip(prm,S,tau_slip_pos,tau_slip_neg)
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postResults(c+1_pInt:c+prm%totalNslip) = 0.5_pReal*(tau_slip_pos+tau_slip_neg)
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c = c + prm%totalNslip
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case (totalshear_ID)
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|
|
@ -783,18 +868,14 @@ function plastic_phenopowerlaw_postResults(Mstar6,ipc,ip,el) result(postResults)
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c = c + prm%totalNtwin
|
||||
|
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case (shearrate_twin_ID)
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do j = 1_pInt, prm%totalNtwin
|
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tau_twin = math_mul33xx33(S,prm%Schmid_twin(1:3,1:3,j))
|
||||
postResults(c+j) = merge((1.0_pReal-stt%sumF(of))*prm%gdot0_twin * &
|
||||
(abs(tau_twin)/stt%s_twin(j,of))**prm%n_twin, &
|
||||
0.0_pReal, tau_twin>0.0_pReal)
|
||||
enddo
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call resolvedStress_twin(prm,S,tau_twin)
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||||
call shearRates_twin(prm,stt,of,tau_twin,gdot_twin)
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||||
postResults(c+1_pInt:c+prm%totalNtwin) = gdot_twin
|
||||
c = c + prm%totalNtwin
|
||||
|
||||
case (resolvedstress_twin_ID)
|
||||
do j = 1_pInt, prm%totalNtwin
|
||||
postResults(c+j) = math_mul33xx33(S,prm%Schmid_twin(1:3,1:3,j))
|
||||
enddo
|
||||
call resolvedStress_twin(prm,S,tau_twin)
|
||||
postResults(c+1_pInt:c+prm%totalNtwin) = tau_twin
|
||||
c = c + prm%totalNtwin
|
||||
|
||||
case (totalvolfrac_twin_ID)
|
||||
|
|
|
|||
Loading…
Reference in New Issue