diff --git a/PRIVATE b/PRIVATE index 186d61315..b7d1d3091 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit 186d61315bb1329deb0a8d871c4ea1b1c3dee2a5 +Subproject commit b7d1d309146e017caa5744333c2e4a4532a6fc20 diff --git a/lib/damask/util.py b/lib/damask/util.py old mode 100755 new mode 100644 diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt index fa7ee1ae8..9789ec67d 100644 --- a/src/CMakeLists.txt +++ b/src/CMakeLists.txt @@ -74,6 +74,7 @@ add_library (PLASTIC OBJECT "plastic_disloUCLA.f90" "plastic_isotropic.f90" "plastic_phenopowerlaw.f90" + "plastic_kinematichardening.f90" "plastic_nonlocal.f90" "plastic_none.f90") add_dependencies(PLASTIC DAMASK_HELPERS) diff --git a/src/CPFEM.f90 b/src/CPFEM.f90 index 44e7e5693..66aa11433 100644 --- a/src/CPFEM.f90 +++ b/src/CPFEM.f90 @@ -162,6 +162,7 @@ subroutine CPFEM_init write(6,'(/,a)') ' <<<+- CPFEM init -+>>>' write(6,'(a15,a)') ' Current time: ',IO_timeStamp() #include "compilation_info.f90" + flush(6) endif mainProcess ! initialize stress and jacobian to zero @@ -242,8 +243,8 @@ subroutine CPFEM_init write(6,'(a32,1x,6(i8,1x))') 'CPFEM_dcsdE: ', shape(CPFEM_dcsdE) write(6,'(a32,1x,6(i8,1x),/)') 'CPFEM_dcsdE_knownGood: ', shape(CPFEM_dcsdE_knownGood) write(6,'(a32,l1)') 'symmetricSolver: ', symmetricSolver + flush(6) endif - flush(6) end subroutine CPFEM_init diff --git a/src/commercialFEM_fileList.f90 b/src/commercialFEM_fileList.f90 index 51848ece5..f57f03467 100644 --- a/src/commercialFEM_fileList.f90 +++ b/src/commercialFEM_fileList.f90 @@ -28,6 +28,7 @@ #include "plastic_none.f90" #include "plastic_isotropic.f90" #include "plastic_phenopowerlaw.f90" +#include "plastic_kinematichardening.f90" #include "plastic_dislotwin.f90" #include "plastic_disloUCLA.f90" #include "plastic_nonlocal.f90" diff --git a/src/constitutive.f90 b/src/constitutive.f90 index 8efd387e0..a62245f99 100644 --- a/src/constitutive.f90 +++ b/src/constitutive.f90 @@ -74,6 +74,7 @@ subroutine constitutive_init() PLASTICITY_none_ID, & PLASTICITY_isotropic_ID, & PLASTICITY_phenopowerlaw_ID, & + PLASTICITY_kinehardening_ID, & PLASTICITY_dislotwin_ID, & PLASTICITY_disloucla_ID, & PLASTICITY_nonlocal_ID ,& @@ -95,6 +96,7 @@ subroutine constitutive_init() PLASTICITY_NONE_label, & PLASTICITY_ISOTROPIC_label, & PLASTICITY_PHENOPOWERLAW_label, & + PLASTICITY_KINEHARDENING_label, & PLASTICITY_DISLOTWIN_label, & PLASTICITY_DISLOUCLA_label, & PLASTICITY_NONLOCAL_label, & @@ -113,6 +115,7 @@ subroutine constitutive_init() use plastic_none use plastic_isotropic use plastic_phenopowerlaw + use plastic_kinehardening use plastic_dislotwin use plastic_disloucla use plastic_nonlocal @@ -156,6 +159,7 @@ subroutine constitutive_init() if (any(phase_plasticity == PLASTICITY_NONE_ID)) call plastic_none_init if (any(phase_plasticity == PLASTICITY_ISOTROPIC_ID)) call plastic_isotropic_init(FILEUNIT) if (any(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID)) call plastic_phenopowerlaw_init(FILEUNIT) + if (any(phase_plasticity == PLASTICITY_KINEHARDENING_ID)) call plastic_kinehardening_init(FILEUNIT) if (any(phase_plasticity == PLASTICITY_DISLOTWIN_ID)) call plastic_dislotwin_init(FILEUNIT) if (any(phase_plasticity == PLASTICITY_DISLOUCLA_ID)) call plastic_disloucla_init(FILEUNIT) if (any(phase_plasticity == PLASTICITY_NONLOCAL_ID)) then @@ -214,6 +218,11 @@ subroutine constitutive_init() thisNoutput => plastic_phenopowerlaw_Noutput thisOutput => plastic_phenopowerlaw_output thisSize => plastic_phenopowerlaw_sizePostResult + case (PLASTICITY_KINEHARDENING_ID) plasticityType + outputName = PLASTICITY_KINEHARDENING_label + thisNoutput => plastic_kinehardening_Noutput + thisOutput => plastic_kinehardening_output + thisSize => plastic_kinehardening_sizePostResult case (PLASTICITY_DISLOTWIN_ID) plasticityType outputName = PLASTICITY_DISLOTWIN_label thisNoutput => plastic_dislotwin_Noutput @@ -472,6 +481,7 @@ subroutine constitutive_LpAndItsTangent(Lp, dLp_dTstar3333, dLp_dFi3333, Tstar_v PLASTICITY_NONE_ID, & PLASTICITY_ISOTROPIC_ID, & PLASTICITY_PHENOPOWERLAW_ID, & + PLASTICITY_KINEHARDENING_ID, & PLASTICITY_DISLOTWIN_ID, & PLASTICITY_DISLOUCLA_ID, & PLASTICITY_NONLOCAL_ID @@ -479,6 +489,8 @@ subroutine constitutive_LpAndItsTangent(Lp, dLp_dTstar3333, dLp_dFi3333, Tstar_v plastic_isotropic_LpAndItsTangent use plastic_phenopowerlaw, only: & plastic_phenopowerlaw_LpAndItsTangent + use plastic_kinehardening, only: & + plastic_kinehardening_LpAndItsTangent use plastic_dislotwin, only: & plastic_dislotwin_LpAndItsTangent use plastic_disloucla, only: & @@ -522,18 +534,20 @@ subroutine constitutive_LpAndItsTangent(Lp, dLp_dTstar3333, dLp_dFi3333, Tstar_v Lp = 0.0_pReal dLp_dMstar = 0.0_pReal case (PLASTICITY_ISOTROPIC_ID) plasticityType - call plastic_isotropic_LpAndItsTangent(Lp,dLp_dMstar,Mstar_v,ipc,ip,el) + call plastic_isotropic_LpAndItsTangent (Lp,dLp_dMstar,Mstar_v,ipc,ip,el) case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType - call plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMstar,Mstar_v,ipc,ip,el) + call plastic_phenopowerlaw_LpAndItsTangent (Lp,dLp_dMstar,Mstar_v,ipc,ip,el) + case (PLASTICITY_KINEHARDENING_ID) plasticityType + call plastic_kinehardening_LpAndItsTangent (Lp,dLp_dMstar,Mstar_v,ipc,ip,el) case (PLASTICITY_NONLOCAL_ID) plasticityType - call plastic_nonlocal_LpAndItsTangent(Lp,dLp_dMstar,Mstar_v, & - temperature(ho)%p(tme),ip,el) + call plastic_nonlocal_LpAndItsTangent (Lp,dLp_dMstar,Mstar_v, & + temperature(ho)%p(tme),ip,el) case (PLASTICITY_DISLOTWIN_ID) plasticityType - call plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMstar,Mstar_v, & - temperature(ho)%p(tme),ipc,ip,el) + call plastic_dislotwin_LpAndItsTangent (Lp,dLp_dMstar,Mstar_v, & + temperature(ho)%p(tme),ipc,ip,el) case (PLASTICITY_DISLOUCLA_ID) plasticityType - call plastic_disloucla_LpAndItsTangent(Lp,dLp_dMstar,Mstar_v, & - temperature(ho)%p(tme), ipc,ip,el) + call plastic_disloucla_LpAndItsTangent (Lp,dLp_dMstar,Mstar_v, & + temperature(ho)%p(tme), ipc,ip,el) end select plasticityType dLp_dTstar3333 = math_Plain99to3333(dLp_dMstar) @@ -717,7 +731,7 @@ end function constitutive_initialFi !-------------------------------------------------------------------------------------------------- !> @brief returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to !> the elastic deformation gradient depending on the selected elastic law (so far no case switch -!! because only hooke is implemented +!! because only Hooke is implemented !-------------------------------------------------------------------------------------------------- subroutine constitutive_TandItsTangent(T, dT_dFe, dT_dFi, Fe, Fi, ipc, ip, el) use prec, only: & @@ -844,6 +858,7 @@ subroutine constitutive_collectDotState(Tstar_v, FeArray, FpArray, subdt, subfra PLASTICITY_none_ID, & PLASTICITY_isotropic_ID, & PLASTICITY_phenopowerlaw_ID, & + PLASTICITY_kinehardening_ID, & PLASTICITY_dislotwin_ID, & PLASTICITY_disloucla_ID, & PLASTICITY_nonlocal_ID, & @@ -855,6 +870,8 @@ subroutine constitutive_collectDotState(Tstar_v, FeArray, FpArray, subdt, subfra plastic_isotropic_dotState use plastic_phenopowerlaw, only: & plastic_phenopowerlaw_dotState + use plastic_kinehardening, only: & + plastic_kinehardening_dotState use plastic_dislotwin, only: & plastic_dislotwin_dotState use plastic_disloucla, only: & @@ -905,6 +922,8 @@ subroutine constitutive_collectDotState(Tstar_v, FeArray, FpArray, subdt, subfra call plastic_isotropic_dotState (Tstar_v,ipc,ip,el) case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType call plastic_phenopowerlaw_dotState(Tstar_v,ipc,ip,el) + case (PLASTICITY_KINEHARDENING_ID) plasticityType + call plastic_kinehardening_dotState(Tstar_v,ipc,ip,el) case (PLASTICITY_DISLOTWIN_ID) plasticityType call plastic_dislotwin_dotState (Tstar_v,temperature(ho)%p(tme), & ipc,ip,el) @@ -959,10 +978,13 @@ subroutine constitutive_collectDeltaState(Tstar_v, Fe, ipc, ip, el) phase_source, & phase_Nsources, & material_phase, & + PLASTICITY_KINEHARDENING_ID, & PLASTICITY_NONLOCAL_ID, & SOURCE_damage_isoBrittle_ID, & SOURCE_vacancy_irradiation_ID, & SOURCE_vacancy_thermalfluc_ID + use plastic_kinehardening, only: & + plastic_kinehardening_deltaState use plastic_nonlocal, only: & plastic_nonlocal_deltaState use source_damage_isoBrittle, only: & @@ -991,15 +1013,18 @@ subroutine constitutive_collectDeltaState(Tstar_v, Fe, ipc, ip, el) if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) & call system_clock(count=tick,count_rate=tickrate,count_max=maxticks) - if(phase_plasticity(material_phase(ipc,ip,el)) == PLASTICITY_NONLOCAL_ID) & - call plastic_nonlocal_deltaState(Tstar_v,ip,el) - + plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el))) + case (PLASTICITY_KINEHARDENING_ID) plasticityType + call plastic_kinehardening_deltaState(Tstar_v,ipc,ip,el) + case (PLASTICITY_NONLOCAL_ID) plasticityType + call plastic_nonlocal_deltaState(Tstar_v,ip,el) + end select plasticityType SourceLoop: do s = 1_pInt, phase_Nsources(material_phase(ipc,ip,el)) sourceType: select case (phase_source(s,material_phase(ipc,ip,el))) case (SOURCE_damage_isoBrittle_ID) sourceType call source_damage_isoBrittle_deltaState (constitutive_homogenizedC(ipc,ip,el), Fe, & - ipc, ip, el) + ipc, ip, el) case (SOURCE_vacancy_irradiation_ID) sourceType call source_vacancy_irradiation_deltaState(ipc, ip, el) case (SOURCE_vacancy_thermalfluc_ID) sourceType @@ -1043,6 +1068,7 @@ function constitutive_postResults(Tstar_v, FeArray, ipc, ip, el) PLASTICITY_NONE_ID, & PLASTICITY_ISOTROPIC_ID, & PLASTICITY_PHENOPOWERLAW_ID, & + PLASTICITY_KINEHARDENING_ID, & PLASTICITY_DISLOTWIN_ID, & PLASTICITY_DISLOUCLA_ID, & PLASTICITY_NONLOCAL_ID, & @@ -1054,6 +1080,8 @@ function constitutive_postResults(Tstar_v, FeArray, ipc, ip, el) plastic_isotropic_postResults use plastic_phenopowerlaw, only: & plastic_phenopowerlaw_postResults + use plastic_kinehardening, only: & + plastic_kinehardening_postResults use plastic_dislotwin, only: & plastic_dislotwin_postResults use plastic_disloucla, only: & @@ -1102,6 +1130,9 @@ function constitutive_postResults(Tstar_v, FeArray, ipc, ip, el) case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType constitutive_postResults(startPos:endPos) = & plastic_phenopowerlaw_postResults(Tstar_v,ipc,ip,el) + case (PLASTICITY_KINEHARDENING_ID) plasticityType + constitutive_postResults(startPos:endPos) = & + plastic_kinehardening_postResults(Tstar_v,ipc,ip,el) case (PLASTICITY_DISLOTWIN_ID) plasticityType constitutive_postResults(startPos:endPos) = & plastic_dislotwin_postResults(Tstar_v,temperature(ho)%p(tme),ipc,ip,el) diff --git a/src/crystallite.f90 b/src/crystallite.f90 index 3ff4417fe..12bf19871 100644 --- a/src/crystallite.f90 +++ b/src/crystallite.f90 @@ -986,7 +986,9 @@ subroutine crystallite_stressAndItsTangent(updateJaco) crystallite_todo(c,i,e) = crystallite_subStep(c,i,e) > subStepMinCryst ! still on track or already done (beyond repair) !$OMP FLUSH(crystallite_todo) #ifdef DEBUG - if (iand(debug_level(debug_crystallite),debug_levelBasic) /= 0_pInt) then + if (iand(debug_level(debug_crystallite), debug_levelExtensive) /= 0_pInt & + .and. ((e == debug_e .and. i == debug_i .and. c == debug_g) & + .or. .not. iand(debug_level(debug_crystallite),debug_levelSelective) /= 0_pInt)) then if (crystallite_todo(c,i,e)) then write(6,'(a,f12.8,a,i8,1x,i2,1x,i3,/)') '<< CRYST >> cutback step in crystallite_stressAndItsTangent & &with new crystallite_subStep: ',& @@ -1042,16 +1044,25 @@ subroutine crystallite_stressAndItsTangent(updateJaco) endif timeSyncing2 if (iand(debug_level(debug_crystallite),debug_levelExtensive) /= 0_pInt) then - write(6,'(/,a,e12.5)') '<< CRYST >> min(subStep) ',minval(crystallite_subStep) - write(6,'(a,e12.5)') '<< CRYST >> max(subStep) ',maxval(crystallite_subStep) - write(6,'(a,e12.5)') '<< CRYST >> min(subFrac) ',minval(crystallite_subFrac) - write(6,'(a,e12.5,/)') '<< CRYST >> max(subFrac) ',maxval(crystallite_subFrac) + write(6,'(/,a,f8.5)') '<< CRYST >> min(subStep) ',minval(crystallite_subStep) + write(6,'(a,f8.5)') '<< CRYST >> max(subStep) ',maxval(crystallite_subStep) + write(6,'(a,f8.5)') '<< CRYST >> min(subFrac) ',minval(crystallite_subFrac) + write(6,'(a,f8.5,/)') '<< CRYST >> max(subFrac) ',maxval(crystallite_subFrac) flush(6) + if (iand(debug_level(debug_crystallite),debug_levelSelective) /= 0_pInt) then + write(6,'(/,a,f8.5,1x,a,1x,f8.5,1x,a)') '<< CRYST >> subFrac + subStep = ',& + crystallite_subFrac(debug_g,debug_i,debug_e),'+',crystallite_subStep(debug_g,debug_i,debug_e),'@selective' + flush(6) + endif endif ! --- integrate --- requires fully defined state array (basic + dependent state) if (any(crystallite_todo)) then + if (iand(debug_level(debug_crystallite),debug_levelExtensive) /= 0_pInt) then + write(6,'(/,a,i3)') '<< CRYST >> using state integrator ',numerics_integrator(numerics_integrationMode) + flush(6) + endif select case(numerics_integrator(numerics_integrationMode)) case(1_pInt) call crystallite_integrateStateFPI() @@ -2702,6 +2713,9 @@ subroutine crystallite_integrateStateFPI() singleRun = (eIter(1) == eIter(2) .and. iIter(1,eIter(1)) == iIter(2,eIter(2))) + if (iand(debug_level(debug_crystallite), debug_levelExtensive) /= 0_pInt) & + write(6,'(a,i8,a)') '<< CRYST >> ', count(crystallite_todo(:,:,:)),' grains todo at start of state integration' + !-------------------------------------------------------------------------------------------------- ! initialize dotState if (.not. singleRun) then @@ -2754,6 +2768,8 @@ subroutine crystallite_integrateStateFPI() NaN = NaN .or. any(IEEE_is_NaN(sourceState(p)%p(mySource)%dotState(:,c))) enddo if (NaN) then ! NaN occured in any dotState + if (iand(debug_level(debug_crystallite), debug_levelExtensive) /= 0_pInt) & + write(6,*) '<< CRYST >> dotstate ',plasticState(p)%dotState(:,c) if (.not. crystallite_localPlasticity(g,i,e)) then ! if broken is a non-local... !$OMP CRITICAL (checkTodo) crystallite_todo = crystallite_todo .and. crystallite_localPlasticity ! ...all non-locals done (and broken) @@ -2767,6 +2783,9 @@ subroutine crystallite_integrateStateFPI() !$OMP ENDDO ! --- UPDATE STATE --- + if (iand(debug_level(debug_crystallite), debug_levelExtensive) /= 0_pInt) & + write(6,'(a,i8,a)') '<< CRYST >> ', count(crystallite_todo(:,:,:)),' grains todo after preguess of state' + !$OMP DO PRIVATE(mySizePlasticDotState,mySizeSourceDotState,p,c) do e = eIter(1),eIter(2); do i = iIter(1,e),iIter(2,e); do g = gIter(1,e),gIter(2,e) ! iterate over elements, ips and grains @@ -2822,6 +2841,9 @@ subroutine crystallite_integrateStateFPI() ! --- STRESS INTEGRATION --- + if (iand(debug_level(debug_crystallite), debug_levelExtensive) /= 0_pInt) & + write(6,'(a,i8,a)') '<< CRYST >> ', count(crystallite_todo(:,:,:)),' grains todo before stress integration' + !$OMP DO do e = eIter(1),eIter(2); do i = iIter(1,e),iIter(2,e); do g = gIter(1,e),gIter(2,e) ! iterate over elements, ips and grains !$OMP FLUSH(crystallite_todo) @@ -2976,7 +2998,11 @@ subroutine crystallite_integrateStateFPI() .or. .not. iand(debug_level(debug_crystallite), debug_levelSelective) /= 0_pInt)) then write(6,'(a,i8,1x,i2,1x,i3,/)') '<< CRYST >> update state at el ip g ',e,i,g write(6,'(a,f6.1,/)') '<< CRYST >> plasticstatedamper ',plasticStatedamper - write(6,'(a,/,(12x,12(e12.5,1x)),/)') '<< CRYST >> plastic state residuum',plasticStateResiduum(1:mySizePlasticDotState) + write(6,'(a,/,(12x,12(e12.5,1x)),/)') '<< CRYST >> plastic state residuum',& + abs(plasticStateResiduum(1:mySizePlasticDotState)) + write(6,'(a,/,(12x,12(e12.5,1x)),/)') '<< CRYST >> abstol dotstate',plasticState(p)%aTolState(1:mySizePlasticDotState) + write(6,'(a,/,(12x,12(e12.5,1x)),/)') '<< CRYST >> reltol dotstate',rTol_crystalliteState* & + abs(tempPlasticState(1:mySizePlasticDotState)) write(6,'(a,/,(12x,12(e12.5,1x)),/)') '<< CRYST >> new state',tempPlasticState(1:mySizePlasticDotState) endif #endif @@ -3036,8 +3062,8 @@ subroutine crystallite_integrateStateFPI() !$OMP END PARALLEL if (iand(debug_level(debug_crystallite), debug_levelExtensive) /= 0_pInt) & - write(6,'(a,i8,a,i2,/)') '<< CRYST >> ', count(crystallite_converged(:,:,:)), & - ' grains converged after state integration #', NiterationState + write(6,'(a,i8,a,i2)') '<< CRYST >> ', count(crystallite_converged(:,:,:)), & + ' grains converged after state integration #', NiterationState ! --- NON-LOCAL CONVERGENCE CHECK --- @@ -3152,8 +3178,8 @@ logical function crystallite_stateJump(ipc,ip,el) write(6,'(a,i8,1x,i2,1x,i3, /)') '<< CRYST >> update state at el ip ipc ',el,ip,ipc write(6,'(a,/,(12x,12(e12.5,1x)),/)') '<< CRYST >> deltaState', plasticState(p)%deltaState(1:mySizePlasticDeltaState,c) write(6,'(a,/,(12x,12(e12.5,1x)),/)') '<< CRYST >> new state', & - plasticState(p)%state(myOffsetSourceDeltaState + 1_pInt : & - myOffsetSourceDeltaState + mySizeSourceDeltaState,c) + plasticState(p)%state(myOffsetPlasticDeltaState + 1_pInt : & + myOffsetPlasticDeltaState + mySizePlasticDeltaState,c) endif #endif @@ -3195,9 +3221,9 @@ end function crystallite_push33ToRef !> intermediate acceleration of the Newton-Raphson correction !-------------------------------------------------------------------------------------------------- logical function crystallite_integrateStress(& - ipc,& ! grain number - ip,& ! integration point number - el,& ! element number + ipc,& ! grain number + ip,& ! integration point number + el,& ! element number timeFraction & ) use, intrinsic :: & @@ -3252,10 +3278,10 @@ logical function crystallite_integrateStress(& #endif implicit none - integer(pInt), intent(in):: el, & ! element index - ip, & ! integration point index - ipc ! grain index - real(pReal), optional, intent(in) :: timeFraction ! fraction of timestep + integer(pInt), intent(in):: el, & ! element index + ip, & ! integration point index + ipc ! grain index + real(pReal), optional, intent(in) :: timeFraction ! fraction of timestep !*** local variables ***! real(pReal), dimension(3,3):: Fg_new, & ! deformation gradient at end of timestep @@ -3330,7 +3356,6 @@ logical function crystallite_integrateStress(& write(6,'(a,i8,1x,i2,1x,i3)') '<< CRYST >> integrateStress at el ip ipc ',el,ip,ipc #endif - !* only integrate over fraction of timestep? if (present(timeFraction)) then @@ -3417,7 +3442,7 @@ logical function crystallite_integrateStress(& #ifdef DEBUG if (iand(debug_level(debug_crystallite), debug_levelBasic) /= 0_pInt) & write(6,'(a,i3,a,i8,1x,a,i8,a,1x,i2,1x,i3,/)') '<< CRYST >> integrateStress reached loop limit',nStress, & - ' at el (elFE) ip ipc ', el,mesh_element(1,el),ip,ipc + ' at el (elFE) ip ipc ', el,'(',mesh_element(1,el),')',ip,ipc #endif return endif loopsExeced @@ -3426,7 +3451,8 @@ logical function crystallite_integrateStress(& B = math_I3 - dt*Lpguess Fe = math_mul33x33(math_mul33x33(A,B), invFi_new) ! current elastic deformation tensor - call constitutive_TandItsTangent(Tstar, dT_dFe3333, dT_dFi3333, Fe, Fi_new, ipc, ip, el) ! call constitutive law to calculate 2nd Piola-Kirchhoff stress and its derivative in unloaded configuration + call constitutive_TandItsTangent(Tstar, dT_dFe3333, dT_dFi3333, & + Fe, Fi_new, ipc, ip, el) ! call constitutive law to calculate 2nd Piola-Kirchhoff stress and its derivative in unloaded configuration Tstar_v = math_Mandel33to6(Tstar) !* calculate plastic velocity gradient and its tangent from constitutive law @@ -3434,6 +3460,17 @@ logical function crystallite_integrateStress(& if (iand(debug_level(debug_crystallite), debug_levelBasic) /= 0_pInt) & call system_clock(count=tick,count_rate=tickrate,count_max=maxticks) +#ifdef DEBUG + if (iand(debug_level(debug_crystallite), debug_levelExtensive) /= 0_pInt & + .and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) & + .or. .not. iand(debug_level(debug_crystallite), debug_levelSelective) /= 0_pInt)) then + write(6,'(a,i3,/)') '<< CRYST >> stress iteration ', NiterationStressLp + write(6,'(a,/,3(12x,3(e20.10,1x)/))') '<< CRYST >> Lpguess', math_transpose33(Lpguess) + write(6,'(a,/,3(12x,3(e20.10,1x)/))') '<< CRYST >> Fi', math_transpose33(Fi_new) + write(6,'(a,/,3(12x,3(e20.10,1x)/))') '<< CRYST >> Fe', math_transpose33(Fe) + write(6,'(a,/,6(e20.10,1x))') '<< CRYST >> Tstar', Tstar_v + endif +#endif call constitutive_LpAndItsTangent(Lp_constitutive, dLp_dT3333, dLp_dFi3333, & Tstar_v, Fi_new, ipc, ip, el) @@ -3451,9 +3488,7 @@ logical function crystallite_integrateStress(& if (iand(debug_level(debug_crystallite), debug_levelExtensive) /= 0_pInt & .and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) & .or. .not. iand(debug_level(debug_crystallite), debug_levelSelective) /= 0_pInt)) then - write(6,'(a,i3,/)') '<< CRYST >> stress iteration ', NiterationStressLp - write(6,'(a,/,3(12x,3(e20.7,1x)/))') '<< CRYST >> Lp_constitutive', math_transpose33(Lp_constitutive) - write(6,'(a,/,3(12x,3(e20.7,1x)/))') '<< CRYST >> Lpguess', math_transpose33(Lpguess) + write(6,'(a,/,3(12x,3(e20.10,1x)/))') '<< CRYST >> Lp_constitutive', math_transpose33(Lp_constitutive) endif #endif @@ -3483,6 +3518,13 @@ logical function crystallite_integrateStress(& else ! not converged and residuum not improved... steplengthLp = subStepSizeLp * steplengthLp ! ...try with smaller step length in same direction Lpguess = Lpguess_old + steplengthLp * deltaLp +#ifdef DEBUG + if (iand(debug_level(debug_crystallite), debug_levelExtensive) /= 0_pInt & + .and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) & + .or. .not. iand(debug_level(debug_crystallite), debug_levelSelective) /= 0_pInt)) then + write(6,'(a,1x,f7.4)') '<< CRYST >> linear search for Lpguess with step', steplengthLp + endif +#endif cycle LpLoop endif @@ -3496,6 +3538,16 @@ logical function crystallite_integrateStress(& dFe_dLp3333 = - dt * dFe_dLp3333 dRLp_dLp = math_identity2nd(9_pInt) & - math_Plain3333to99(math_mul3333xx3333(math_mul3333xx3333(dLp_dT3333,dT_dFe3333),dFe_dLp3333)) +#ifdef DEBUG + if (iand(debug_level(debug_crystallite), debug_levelExtensive) /= 0_pInt & + .and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) & + .or. .not. iand(debug_level(debug_crystallite), debug_levelSelective) /= 0_pInt)) then + write(6,'(a,/,9(12x,9(e12.4,1x)/))') '<< CRYST >> dLp_dT', math_Plain3333to99(dLp_dT3333) + write(6,'(a,1x,e20.10)') '<< CRYST >> dLp_dT norm', norm2(math_Plain3333to99(dLp_dT3333)) + write(6,'(a,/,9(12x,9(e12.4,1x)/))') '<< CRYST >> dRLp_dLp', dRLp_dLp - math_identity2nd(9_pInt) + write(6,'(a,1x,e20.10)') '<< CRYST >> dRLp_dLp norm', norm2(dRLp_dLp - math_identity2nd(9_pInt)) + endif +#endif dRLp_dLp2 = dRLp_dLp ! will be overwritten in first call to LAPACK routine work = math_plain33to9(residuumLp) call dgesv(9,1,dRLp_dLp2,9,ipiv,work,9,ierr) ! solve dRLp/dLp * delta Lp = -res for delta Lp diff --git a/src/debug.f90 b/src/debug.f90 index c4c3ddd60..feb1c9fe4 100644 --- a/src/debug.f90 +++ b/src/debug.f90 @@ -443,13 +443,15 @@ subroutine debug_info write(6,'(a15,i10,1x,i10)') ' total',integral,sum(debug_MaterialpointLoopDistribution) endif debugOutputHomog - debugOutputCPFEM: if (iand(debug_level(debug_CPFEM),debug_LEVELBASIC) /= 0) then - write(6,'(2/,a,/)') ' Extreme values of returned stress and jacobian' + debugOutputCPFEM: if (iand(debug_level(debug_CPFEM),debug_LEVELBASIC) /= 0 & + .and. any(debug_stressMinLocation /= 0_pInt) & + .and. any(debug_stressMaxLocation /= 0_pInt) ) then + write(6,'(2/,a,/)') ' Extreme values of returned stress and Jacobian' write(6,'(a39)') ' value el ip' - write(6,'(a14,1x,e12.3,1x,i6,1x,i4)') ' stress min :', debug_stressMin, debug_stressMinLocation - write(6,'(a14,1x,e12.3,1x,i6,1x,i4)') ' max :', debug_stressMax, debug_stressMaxLocation - write(6,'(a14,1x,e12.3,1x,i6,1x,i4)') ' jacobian min :', debug_jacobianMin, debug_jacobianMinLocation - write(6,'(a14,1x,e12.3,1x,i6,1x,i4,/)') ' max :', debug_jacobianMax, debug_jacobianMaxLocation + write(6,'(a14,1x,e12.3,1x,i8,1x,i4)') ' stress min :', debug_stressMin, debug_stressMinLocation + write(6,'(a14,1x,e12.3,1x,i8,1x,i4)') ' max :', debug_stressMax, debug_stressMaxLocation + write(6,'(a14,1x,e12.3,1x,i8,1x,i4)') ' Jacobian min :', debug_jacobianMin, debug_jacobianMinLocation + write(6,'(a14,1x,e12.3,1x,i8,1x,i4,/)') ' max :', debug_jacobianMax, debug_jacobianMaxLocation endif debugOutputCPFEM !$OMP END CRITICAL (write2out) diff --git a/src/material.f90 b/src/material.f90 index 090b94023..25d115520 100644 --- a/src/material.f90 +++ b/src/material.f90 @@ -25,6 +25,7 @@ module material PLASTICITY_none_label = 'none', & PLASTICITY_isotropic_label = 'isotropic', & PLASTICITY_phenopowerlaw_label = 'phenopowerlaw', & + PLASTICITY_kinehardening_label = 'kinehardening', & PLASTICITY_dislotwin_label = 'dislotwin', & PLASTICITY_disloucla_label = 'disloucla', & PLASTICITY_nonlocal_label = 'nonlocal', & @@ -72,6 +73,7 @@ module material PLASTICITY_none_ID, & PLASTICITY_isotropic_ID, & PLASTICITY_phenopowerlaw_ID, & + PLASTICITY_kinehardening_ID, & PLASTICITY_dislotwin_ID, & PLASTICITY_disloucla_ID, & PLASTICITY_nonlocal_ID @@ -308,6 +310,7 @@ module material PLASTICITY_none_ID, & PLASTICITY_isotropic_ID, & PLASTICITY_phenopowerlaw_ID, & + PLASTICITY_kinehardening_ID, & PLASTICITY_dislotwin_ID, & PLASTICITY_disloucla_ID, & PLASTICITY_nonlocal_ID, & @@ -983,6 +986,8 @@ subroutine material_parsePhase(fileUnit,myPart) phase_plasticity(section) = PLASTICITY_ISOTROPIC_ID case (PLASTICITY_PHENOPOWERLAW_label) phase_plasticity(section) = PLASTICITY_PHENOPOWERLAW_ID + case (PLASTICITY_KINEHARDENING_label) + phase_plasticity(section) = PLASTICITY_KINEHARDENING_ID case (PLASTICITY_DISLOTWIN_label) phase_plasticity(section) = PLASTICITY_DISLOTWIN_ID case (PLASTICITY_DISLOUCLA_label) diff --git a/src/math.f90 b/src/math.f90 index 7e35ca390..3c7f2d91c 100644 --- a/src/math.f90 +++ b/src/math.f90 @@ -74,6 +74,7 @@ module math public :: & math_init, & math_qsort, & + math_expand, & math_range, & math_identity2nd, & math_identity4th, & diff --git a/src/plastic_isotropic.f90 b/src/plastic_isotropic.f90 index 4679d654d..a3a1d5caf 100644 --- a/src/plastic_isotropic.f90 +++ b/src/plastic_isotropic.f90 @@ -62,7 +62,7 @@ module plastic_isotropic end type type, private :: tIsotropicAbsTol !< internal alias for abs tolerance in state - real(pReal), pointer :: & ! scalars along NipcMyInstance + real(pReal), pointer :: & ! scalars flowstress, & accumulatedShear end type diff --git a/src/plastic_kinematichardening.f90 b/src/plastic_kinematichardening.f90 new file mode 100644 index 000000000..c33a14db6 --- /dev/null +++ b/src/plastic_kinematichardening.f90 @@ -0,0 +1,969 @@ +!-------------------------------------------------------------------------------------------------- +!> @author Philip Eisenlohr, Michigan State University +!> @author Zhuowen Zhao, Michigan State University +!> @brief Introducing Voce-type kinematic hardening rule into crystal plasticity +!! formulation using a power law fitting +!-------------------------------------------------------------------------------------------------- +module plastic_kinehardening + use prec, only: & + pReal,& + pInt + + implicit none + private + integer(pInt), dimension(:), allocatable, public, protected :: & + plastic_kinehardening_sizePostResults !< cumulative size of post results + + integer(pInt), dimension(:,:), allocatable, target, public :: & + plastic_kinehardening_sizePostResult !< size of each post result output + + character(len=64), dimension(:,:), allocatable, target, public :: & + plastic_kinehardening_output !< name of each post result output + + integer(pInt), dimension(:), allocatable, target, public :: & + plastic_kinehardening_Noutput !< number of outputs per instance + + integer(pInt), dimension(:), allocatable, public, protected :: & + plastic_kinehardening_totalNslip !< no. of slip system used in simulation + + + integer(pInt), dimension(:,:), allocatable, private :: & + plastic_kinehardening_Nslip !< active number of slip systems per family (input parameter, per family) + + + enum, bind(c) + enumerator :: undefined_ID, & + crss_ID, & !< critical resolved stress + crss_back_ID, & !< critical resolved back stress + sense_ID, & !< sense of acting shear stress (-1 or +1) + chi0_ID, & !< backstress at last switch of stress sense (positive?) + gamma0_ID, & !< accumulated shear at last switch of stress sense (at current switch?) + accshear_ID, & + sumGamma_ID, & + shearrate_ID, & + resolvedstress_ID + + end enum + + + type, private :: tParameters !< container type for internal constitutive parameters + integer(kind(undefined_ID)), dimension(:), allocatable, private :: & + outputID !< ID of each post result output + + real(pReal) :: & + gdot0, & !< reference shear strain rate for slip (input parameter) + n_slip, & !< stress exponent for slip (input parameter) + aTolResistance, & + aTolShear + + + real(pReal), dimension(:), allocatable, private :: & + crss0, & !< initial critical shear stress for slip (input parameter, per family) + theta0, & !< initial hardening rate of forward stress for each slip + theta1, & !< asymptotic hardening rate of forward stress for each slip > + theta0_b, & !< initial hardening rate of back stress for each slip > + theta1_b, & !< asymptotic hardening rate of back stress for each slip > + tau1, & + tau1_b, & + interaction_slipslip, & !< latent hardening matrix + nonSchmidCoeff + + real(pReal), dimension(:,:), allocatable, private :: & + hardeningMatrix_SlipSlip + end type + + type, private :: tKinehardeningState + real(pReal), pointer, dimension(:,:) :: & !< vectors along NipcMyInstance + crss, & !< critical resolved stress + crss_back, & !< critical resolved back stress + sense, & !< sense of acting shear stress (-1 or +1) + chi0, & !< backstress at last switch of stress sense + gamma0, & !< accumulated shear at last switch of stress sense + accshear !< accumulated (absolute) shear + + real(pReal), pointer, dimension(:) :: & !< scalars along NipcMyInstance + sumGamma !< accumulated shear across all systems + end type + + type(tParameters), dimension(:), allocatable, private :: & + param !< containers of constitutive parameters (len Ninstance) + + type(tKinehardeningState), allocatable, dimension(:), private :: & + dotState, & + deltaState, & + state, & + state0 + + + public :: & + plastic_kinehardening_init, & + plastic_kinehardening_LpAndItsTangent, & + plastic_kinehardening_dotState, & + plastic_kinehardening_deltaState, & + plastic_kinehardening_postResults + private :: & + plastic_kinehardening_shearRates + + +contains + + + +!-------------------------------------------------------------------------------------------------- +!> @brief module initialization +!> @details reads in material parameters, allocates arrays, and does sanity checks +!-------------------------------------------------------------------------------------------------- +subroutine plastic_kinehardening_init(fileUnit) + use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment) + use prec, only: & + dEq0 + use debug, only: & + debug_level, & + debug_constitutive,& + debug_levelBasic + use math, only: & + math_Mandel3333to66, & + math_Voigt66to3333, & + math_expand + use IO, only: & + IO_read, & + IO_lc, & + IO_getTag, & + IO_isBlank, & + IO_stringPos, & + IO_stringValue, & + IO_floatValue, & + IO_intValue, & + IO_warning, & + IO_error, & + IO_timeStamp, & + IO_EOF + use material, only: & + PLASTICITY_kinehardening_label, & + PLASTICITY_kinehardening_ID, & + phase_plasticity, & + phase_plasticityInstance, & + phase_Noutput, & + material_phase, & + plasticState, & + MATERIAL_partPhase + use lattice + use numerics,only: & + numerics_integrator + + implicit none + integer(pInt), intent(in) :: fileUnit + + integer(pInt), allocatable, dimension(:) :: chunkPos + integer(pInt) :: & + o, j, k, f, & + output_ID, & + phase, & + instance, & + maxNinstance, & + NipcMyPhase, & + Nchunks_SlipSlip = 0_pInt, Nchunks_SlipFamilies = 0_pInt, & + Nchunks_nonSchmid = 0_pInt, & + offset_slip, index_myFamily, index_otherFamily, & + startIndex, endIndex, & + mySize, nSlip, nSlipFamilies, & + sizeDotState, & + sizeState, & + sizeDeltaState + + real(pReal), dimension(:), allocatable :: tempPerSlip + + character(len=65536) :: & + tag = '', & + line = '', & + extmsg = '' + character(len=64) :: & + outputtag = '' + + write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_KINEHARDENING_label//' init -+>>>' + write(6,'(a15,a)') ' Current time: ',IO_timeStamp() +#include "compilation_info.f90" + + maxNinstance = int(count(phase_plasticity == PLASTICITY_KINEHARDENING_ID),pInt) + if (maxNinstance == 0_pInt) return + + if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) & + write(6,'(a,1x,i5,/)') '# instances:',maxNinstance + + allocate(plastic_kinehardening_sizePostResults(maxNinstance), source=0_pInt) + allocate(plastic_kinehardening_sizePostResult(maxval(phase_Noutput),maxNinstance), & + source=0_pInt) + allocate(plastic_kinehardening_output(maxval(phase_Noutput),maxNinstance)) + plastic_kinehardening_output = '' + allocate(plastic_kinehardening_Noutput(maxNinstance), source=0_pInt) + allocate(plastic_kinehardening_Nslip(lattice_maxNslipFamily,maxNinstance), source=0_pInt) + allocate(plastic_kinehardening_totalNslip(maxNinstance), source=0_pInt) + allocate(param(maxNinstance)) ! one container of parameters per instance + + rewind(fileUnit) + phase = 0_pInt + do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= material_partPhase) ! wind forward to + line = IO_read(fileUnit) + enddo + + parsingFile: do while (trim(line) /= IO_EOF) ! read through sections of phase part + line = IO_read(fileUnit) + if (IO_isBlank(line)) cycle ! skip empty lines + if (IO_getTag(line,'<','>') /= '') then ! stop at next part + line = IO_read(fileUnit, .true.) ! reset IO_read + exit + endif + if (IO_getTag(line,'[',']') /= '') then ! next phase + phase = phase + 1_pInt ! advance phase section counter + if (phase_plasticity(phase) == PLASTICITY_KINEHARDENING_ID) then + instance = phase_plasticityInstance(phase) ! count instances of my constitutive law + Nchunks_SlipFamilies = count(lattice_NslipSystem(:,phase) > 0_pInt) ! maximum number of slip families according to lattice type of current phase + Nchunks_SlipSlip = maxval(lattice_interactionSlipSlip(:,:,phase)) + Nchunks_nonSchmid = lattice_NnonSchmid(phase) + allocate(param(instance)%outputID(phase_Noutput(phase)), source=undefined_ID) ! allocate space for IDs of every requested output + allocate(param(instance)%crss0 (Nchunks_SlipFamilies), source=0.0_pReal) + allocate(param(instance)%tau1 (Nchunks_SlipFamilies), source=0.0_pReal) + allocate(param(instance)%tau1_b (Nchunks_SlipFamilies), source=0.0_pReal) + allocate(param(instance)%theta0 (Nchunks_SlipFamilies), source=0.0_pReal) + allocate(param(instance)%theta1 (Nchunks_SlipFamilies), source=0.0_pReal) + allocate(param(instance)%theta0_b(Nchunks_SlipFamilies), source=0.0_pReal) + allocate(param(instance)%theta1_b(Nchunks_SlipFamilies), source=0.0_pReal) + allocate(param(instance)%interaction_slipslip(Nchunks_SlipSlip), source=0.0_pReal) + allocate(param(instance)%nonSchmidCoeff(Nchunks_nonSchmid), source=0.0_pReal) + if(allocated(tempPerSlip)) deallocate(tempPerSlip) + allocate(tempPerSlip(Nchunks_SlipFamilies)) + endif + cycle ! skip to next line + endif + if (phase > 0_pInt ) then; if (phase_plasticity(phase) == PLASTICITY_KINEHARDENING_ID) then ! one of my phases. Do not short-circuit here (.and. between if-statements), it's not safe in Fortran + instance = phase_plasticityInstance(phase) ! which instance of my plasticity is present phase + chunkPos = IO_stringPos(line) + tag = IO_lc(IO_stringValue(line,chunkPos,1_pInt)) ! extract key + select case(tag) + case ('(output)') + outputtag = IO_lc(IO_stringValue(line,chunkPos,2_pInt)) + output_ID = undefined_ID + select case(outputtag) + case ('resistance') + output_ID = crss_ID + case ('backstress') + output_ID = crss_back_ID + case ('sense') + output_ID = sense_ID + case ('chi0') + output_ID = chi0_ID + case ('gamma0') + output_ID = gamma0_ID + case ('accumulatedshear') + output_ID = accshear_ID + case ('totalshear') + output_ID = sumGamma_ID + case ('shearrate') + output_ID = shearrate_ID + case ('resolvedstress') + output_ID = resolvedstress_ID + end select + + if (output_ID /= undefined_ID) then + plastic_kinehardening_Noutput(instance) = plastic_kinehardening_Noutput(instance) + 1_pInt + plastic_kinehardening_output(plastic_kinehardening_Noutput(instance),instance) = outputtag + param(instance)%outputID (plastic_kinehardening_Noutput(instance)) = output_ID + endif +!-------------------------------------------------------------------------------------------------- +! parameters depending on number of slip families + case ('nslip') + if (chunkPos(1) < Nchunks_SlipFamilies + 1_pInt) & + call IO_warning(50_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_KINEHARDENING_label//')') + if (chunkPos(1) > Nchunks_SlipFamilies + 1_pInt) & + call IO_error(150_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_KINEHARDENING_label//')') + Nchunks_SlipFamilies = chunkPos(1) - 1_pInt ! user specified number of (possibly) active slip families (e.g. 6 0 6 --> 3) + do j = 1_pInt, Nchunks_SlipFamilies + plastic_kinehardening_Nslip(j,instance) = IO_intValue(line,chunkPos,1_pInt+j) + enddo + + case ('crss0','tau1','tau1_b','theta0','theta1','theta0_b','theta1_b') + tempPerSlip = 0.0_pReal + do j = 1_pInt, Nchunks_SlipFamilies + if (plastic_kinehardening_Nslip(j,instance) > 0_pInt) & + tempPerSlip(j) = IO_floatValue(line,chunkPos,1_pInt+j) + enddo + select case(tag) + case ('crss0') + param(instance)%crss0(1:Nchunks_SlipFamilies) = tempPerSlip(1:Nchunks_SlipFamilies) + case ('tau1') + param(instance)%tau1(1:Nchunks_SlipFamilies) = tempPerSlip(1:Nchunks_SlipFamilies) + case ('tau1_b') + param(instance)%tau1_b(1:Nchunks_SlipFamilies) = tempPerSlip(1:Nchunks_SlipFamilies) + case ('theta0') + param(instance)%theta0(1:Nchunks_SlipFamilies) = tempPerSlip(1:Nchunks_SlipFamilies) + case ('theta1') + param(instance)%theta1(1:Nchunks_SlipFamilies) = tempPerSlip(1:Nchunks_SlipFamilies) + case ('theta0_b') + param(instance)%theta0_b(1:Nchunks_SlipFamilies) = tempPerSlip(1:Nchunks_SlipFamilies) + case ('theta1_b') + param(instance)%theta1_b(1:Nchunks_SlipFamilies) = tempPerSlip(1:Nchunks_SlipFamilies) + end select + +!-------------------------------------------------------------------------------------------------- +! parameters depending on number of interactions + case ('interaction_slipslip') + if (chunkPos(1) < 1_pInt + Nchunks_SlipSlip) & + call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_KINEHARDENING_label//')') + do j = 1_pInt, Nchunks_SlipSlip + param(instance)%interaction_slipslip(j) = IO_floatValue(line,chunkPos,1_pInt+j) + enddo + case ('nonschmidcoeff') + if (chunkPos(1) < 1_pInt + Nchunks_nonSchmid) & + call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_KINEHARDENING_label//')') + do j = 1_pInt,Nchunks_nonSchmid + param(instance)%nonSchmidCoeff(j) = IO_floatValue(line,chunkPos,1_pInt+j) + enddo +!-------------------------------------------------------------------------------------------------- + case ('gdot0') + param(instance)%gdot0 = IO_floatValue(line,chunkPos,2_pInt) + + case ('n_slip') + param(instance)%n_slip = IO_floatValue(line,chunkPos,2_pInt) + + case ('atol_resistance') + param(instance)%aTolResistance = IO_floatValue(line,chunkPos,2_pInt) + + case ('atol_shear') + param(instance)%aTolShear = IO_floatValue(line,chunkPos,2_pInt) + + case default + + end select + endif; endif + enddo parsingFile + +!-------------------------------------------------------------------------------------------------- +! allocation of variables whose size depends on the total number of active slip systems + allocate(state(maxNinstance)) + allocate(state0(maxNinstance)) + allocate(dotState(maxNinstance)) + allocate(deltaState(maxNinstance)) + + + initializeInstances: do phase = 1_pInt, size(phase_plasticity) ! loop through all phases in material.config + myPhase2: if (phase_plasticity(phase) == PLASTICITY_KINEHARDENING_ID) then ! only consider my phase + NipcMyPhase = count(material_phase == phase) ! number of IPCs containing my phase + instance = phase_plasticityInstance(phase) ! which instance of my phase + plastic_kinehardening_Nslip(1:lattice_maxNslipFamily,instance) = & + min(lattice_NslipSystem(1:lattice_maxNslipFamily,phase),& ! limit active slip systems per family to min of available and requested + plastic_kinehardening_Nslip(1:lattice_maxNslipFamily,instance)) + + plastic_kinehardening_totalNslip(instance) = sum(plastic_kinehardening_Nslip(:,instance)) ! how many slip systems altogether + nSlipFamilies = count(plastic_kinehardening_Nslip(:,instance) > 0_pInt) + nSlip = plastic_kinehardening_totalNslip(instance) ! total number of active slip systems + +!-------------------------------------------------------------------------------------------------- +! sanity checks + + if (any(plastic_kinehardening_Nslip(1:nSlipFamilies,instance) > 0_pInt & + .and. param(instance)%crss0(1:nSlipFamilies) < 0.0_pReal)) extmsg = trim(extmsg)//' crss0' + if (any(plastic_kinehardening_Nslip(1:nSlipFamilies,instance) > 0_pInt & + .and. param(instance)%tau1(1:nSlipFamilies) <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1' + if (any(plastic_kinehardening_Nslip(1:nSlipFamilies,instance) > 0_pInt & + .and. param(instance)%tau1_b(1:nSlipFamilies) < 0.0_pReal)) extmsg = trim(extmsg)//' tau1_b' + if (param(instance)%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0' + if (param(instance)%n_slip <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip' + if (param(instance)%aTolResistance <= 0.0_pReal) param(instance)%aTolResistance = 1.0_pReal ! default absolute tolerance 1 Pa + if (param(instance)%aTolShear <= 0.0_pReal) param(instance)%aTolShear = 1.0e-6_pReal ! default absolute tolerance 1e-6 + if (extmsg /= '') then + extmsg = trim(extmsg)//' ('//PLASTICITY_KINEHARDENING_label//')' ! prepare error message identifier + call IO_error(211_pInt,ip=instance,ext_msg=extmsg) + endif + + +!-------------------------------------------------------------------------------------------------- +! Determine size of postResults array + + outputsLoop: do o = 1_pInt,plastic_kinehardening_Noutput(instance) + select case(param(instance)%outputID(o)) + case(crss_ID, & !< critical resolved stress + crss_back_ID, & !< critical resolved back stress + sense_ID, & !< sense of acting shear stress (-1 or +1) + chi0_ID, & !< backstress at last switch of stress sense + gamma0_ID, & !< accumulated shear at last switch of stress sense + accshear_ID, & + shearrate_ID, & + resolvedstress_ID) + mySize = nSlip + case(sumGamma_ID) + mySize = 1_pInt + case default + end select + + outputFound: if (mySize > 0_pInt) then + plastic_kinehardening_sizePostResult(o,instance) = mySize + plastic_kinehardening_sizePostResults(instance) = plastic_kinehardening_sizePostResults(instance) + mySize + endif outputFound + enddo outputsLoop +!-------------------------------------------------------------------------------------------------- +! allocate state arrays + sizeDotState = nSlip & !< crss + + nSlip & !< crss_back + + nSlip & !< accumulated (absolute) shear + + 1_pInt !< sum(gamma) + + sizeDeltaState = nSlip & !< sense of acting shear stress (-1 or +1) + + nSlip & !< backstress at last switch of stress sense + + nSlip !< accumulated shear at last switch of stress sense + + sizeState = sizeDotState + sizeDeltaState + plasticState(phase)%sizeState = sizeState + plasticState(phase)%sizeDotState = sizeDotState + plasticState(phase)%sizeDeltaState = sizeDeltaState + plasticState(phase)%offsetDeltaState = sizeDotState + plasticState(phase)%sizePostResults = plastic_kinehardening_sizePostResults(instance) + plasticState(phase)%nSlip = nSlip + + allocate(plasticState(phase)%state0 ( sizeState,NipcMyPhase), source=0.0_pReal) + allocate(plasticState(phase)%partionedState0 ( sizeState,NipcMyPhase), source=0.0_pReal) + allocate(plasticState(phase)%subState0 ( sizeState,NipcMyPhase), source=0.0_pReal) + allocate(plasticState(phase)%state ( sizeState,NipcMyPhase), source=0.0_pReal) + allocate(plasticState(phase)%aTolState (sizeDotState), source=0.0_pReal) + allocate(plasticState(phase)%dotState (sizeDotState,NipcMyPhase), source=0.0_pReal) + allocate(plasticState(phase)%deltaState (sizeDeltaState,NipcMyPhase), source=0.0_pReal) ! allocate space for deltaState + if (any(numerics_integrator == 1_pInt)) then + allocate(plasticState(phase)%previousDotState (sizeDotState,NipcMyPhase),source=0.0_pReal) + allocate(plasticState(phase)%previousDotState2(sizeDotState,NipcMyPhase),source=0.0_pReal) + endif + if (any(numerics_integrator == 4_pInt)) & + allocate(plasticState(phase)%RK4dotState (sizeDotState,NipcMyPhase), source=0.0_pReal) + if (any(numerics_integrator == 5_pInt)) & + allocate(plasticState(phase)%RKCK45dotState (6,sizeDotState,NipcMyPhase), source=0.0_pReal) + + offset_slip = plasticState(phase)%nSlip+plasticState(phase)%nTwin+2_pInt + plasticState(phase)%slipRate => & + plasticState(phase)%dotState(offset_slip+1:offset_slip+plasticState(phase)%nSlip,1:NipcMyPhase) + plasticState(phase)%accumulatedSlip => & + plasticState(phase)%state(offset_slip+1:offset_slip+plasticState(phase)%nSlip,1:NipcMyPhase) + + allocate(param(instance)%hardeningMatrix_SlipSlip(nSlip,nSlip), source=0.0_pReal) + do f = 1_pInt,lattice_maxNslipFamily ! >>> interaction slip -- X + index_myFamily = sum(plastic_kinehardening_Nslip(1:f-1_pInt,instance)) + do j = 1_pInt,plastic_kinehardening_Nslip(f,instance) ! loop over (active) systems in my family (slip) + do o = 1_pInt,lattice_maxNslipFamily + index_otherFamily = sum(plastic_kinehardening_Nslip(1:o-1_pInt,instance)) + do k = 1_pInt,plastic_kinehardening_Nslip(o,instance) ! loop over (active) systems in other family (slip) + param(instance)%hardeningMatrix_SlipSlip(index_myFamily+j,index_otherFamily+k) = & + param(instance)%interaction_SlipSlip(lattice_interactionSlipSlip( & + sum(lattice_NslipSystem(1:f-1,phase))+j, & + sum(lattice_NslipSystem(1:o-1,phase))+k, & + phase)) + enddo; enddo + enddo; enddo + +!---------------------------------------------------------------------------------------------- +!locally define dotState alias + + endindex = 0_pInt + o = endIndex ! offset of dotstate index relative to state index + + startIndex = endIndex + 1_pInt + endIndex = endIndex + nSlip + state (instance)%crss => plasticState(phase)%state (startIndex :endIndex ,1:NipcMyPhase) + state0 (instance)%crss => plasticState(phase)%state0 (startIndex :endIndex ,1:NipcMyPhase) + dotState(instance)%crss => plasticState(phase)%dotState (startIndex-o:endIndex-o,1:NipcMyPhase) + + state0(instance)%crss = spread(math_expand(param(instance)%crss0,& + plastic_kinehardening_Nslip(:,instance)), & + 2, NipcMyPhase) + plasticState(phase)%aTolState(startIndex-o:endIndex-o) = param(instance)%aTolResistance + +! ............................................. + startIndex = endIndex + 1_pInt + endIndex = endIndex + nSlip + state (instance)%crss_back => plasticState(phase)%state (startIndex :endIndex ,1:NipcMyPhase) + state0 (instance)%crss_back => plasticState(phase)%state0 (startIndex :endIndex ,1:NipcMyPhase) + dotState(instance)%crss_back => plasticState(phase)%dotState (startIndex-o:endIndex-o,1:NipcMyPhase) + + state0(instance)%crss_back = 0.0_pReal + plasticState(phase)%aTolState(startIndex-o:endIndex-o) = param(instance)%aTolResistance + +! ............................................. + startIndex = endIndex + 1_pInt + endIndex = endIndex + nSlip + state (instance)%accshear => plasticState(phase)%state (startIndex :endIndex ,1:NipcMyPhase) + state0 (instance)%accshear => plasticState(phase)%state0 (startIndex :endIndex ,1:NipcMyPhase) + dotState(instance)%accshear => plasticState(phase)%dotState (startIndex-o:endIndex-o,1:NipcMyPhase) + + state0(instance)%accshear = 0.0_pReal + plasticState(phase)%aTolState(startIndex-o:endIndex-o) = param(instance)%aTolShear + +! ............................................. + startIndex = endIndex + 1_pInt + endIndex = endIndex + 1_pInt + state (instance)%sumGamma => plasticState(phase)%state (startIndex ,1:NipcMyPhase) + state0 (instance)%sumGamma => plasticState(phase)%state0 (startIndex ,1:NipcMyPhase) + dotState(instance)%sumGamma => plasticState(phase)%dotState (startIndex-o ,1:NipcMyPhase) + + state0(instance)%sumGamma = 0.0_pReal + plasticState(phase)%aTolState(startIndex-o:endIndex-o) = param(instance)%aTolShear + +!---------------------------------------------------------------------------------------------- +!locally define deltaState alias + o = endIndex + +! ............................................. + startIndex = endIndex + 1_pInt + endIndex = endIndex + nSlip + state (instance)%sense => plasticState(phase)%state (startIndex :endIndex ,1:NipcMyPhase) + state0 (instance)%sense => plasticState(phase)%state0 (startIndex :endIndex ,1:NipcMyPhase) + deltaState(instance)%sense => plasticState(phase)%deltaState(startIndex-o:endIndex-o,1:NipcMyPhase) + + state0(instance)%sense = 0.0_pReal + +! ............................................. + startIndex = endIndex + 1_pInt + endIndex = endIndex + nSlip + state (instance)%chi0 => plasticState(phase)%state (startIndex :endIndex ,1:NipcMyPhase) + state0 (instance)%chi0 => plasticState(phase)%state0 (startIndex :endIndex ,1:NipcMyPhase) + deltaState(instance)%chi0 => plasticState(phase)%deltaState(startIndex-o:endIndex-o,1:NipcMyPhase) + + state0(instance)%chi0 = 0.0_pReal + +! ............................................. + startIndex = endIndex + 1_pInt + endIndex = endIndex + nSlip + state (instance)%gamma0 => plasticState(phase)%state (startIndex :endIndex ,1:NipcMyPhase) + state0 (instance)%gamma0 => plasticState(phase)%state0 (startIndex :endIndex ,1:NipcMyPhase) + deltaState(instance)%gamma0 => plasticState(phase)%deltaState(startIndex-o:endIndex-o,1:NipcMyPhase) + + state0(instance)%gamma0 = 0.0_pReal + + endif myPhase2 + enddo initializeInstances + +end subroutine plastic_kinehardening_init + +!-------------------------------------------------------------------------------------------------- +!> @brief calculation of shear rates (\dot \gamma) +!-------------------------------------------------------------------------------------------------- +subroutine plastic_kinehardening_shearRates(gdot_pos,gdot_neg,tau_pos,tau_neg, & + Tstar_v,ph,instance,of) + + use lattice, only: & + lattice_NslipSystem, & + lattice_Sslip_v, & + lattice_maxNslipFamily, & + lattice_NnonSchmid + + implicit none + real(pReal), dimension(6), intent(in) :: & + Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation + integer(pInt), intent(in) :: & + ph, & !< phase ID + instance, & !< instance of that phase + of !< index of phaseMember + real(pReal), dimension(plastic_kinehardening_totalNslip(instance)), intent(out) :: & + gdot_pos, & !< shear rates from positive line segments + gdot_neg, & !< shear rates from negative line segments + tau_pos, & !< shear stress on positive line segments + tau_neg !< shear stress on negative line segments + + integer(pInt) :: & + index_myFamily, & + f,i,j,k + + + j = 0_pInt + slipFamilies: do f = 1_pInt,lattice_maxNslipFamily + index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family + slipSystems: do i = 1_pInt,plastic_kinehardening_Nslip(f,instance) + j = j + 1_pInt + tau_pos(j) = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,ph)) + tau_neg(j) = tau_pos(j) + nonSchmidSystems: do k = 1,lattice_NnonSchmid(ph) + tau_pos(j) = tau_pos(j) + param(instance)%nonSchmidCoeff(k)* & + dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+0,index_myFamily+i,ph)) + tau_neg(j) = tau_neg(j) + param(instance)%nonSchmidCoeff(k)* & + dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,ph)) + enddo nonSchmidSystems + enddo slipSystems + enddo slipFamilies + + gdot_pos = 0.5_pReal * param(instance)%gdot0 * & + (abs(tau_pos-state(instance)%crss_back(:,of))/ & + state(instance)%crss(:,of))**param(instance)%n_slip & + *sign(1.0_pReal,tau_pos-state(instance)%crss_back(:,of)) + gdot_neg = 0.5_pReal * param(instance)%gdot0 * & + (abs(tau_neg-state(instance)%crss_back(:,of))/ & + state(instance)%crss(:,of))**param(instance)%n_slip & + *sign(1.0_pReal,tau_neg-state(instance)%crss_back(:,of)) + + +end subroutine plastic_kinehardening_shearRates + + +!-------------------------------------------------------------------------------------------------- +!> @brief calculates plastic velocity gradient and its tangent +!-------------------------------------------------------------------------------------------------- +subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dTstar99, & + Tstar_v,ipc,ip,el) + use prec, only: & + dNeq0 + use debug, only: & + debug_level, & + debug_constitutive, & + debug_levelExtensive, & + debug_levelSelective, & + debug_e, & + debug_i, & + debug_g + use math, only: & + math_Plain3333to99, & + math_Mandel6to33, & + math_transpose33 + use lattice, only: & + lattice_Sslip, & !< schmid matrix + lattice_Sslip_v, & + lattice_maxNslipFamily, & + lattice_NslipSystem, & + lattice_NnonSchmid + use material, only: & + phaseAt, phasememberAt, & + phase_plasticityInstance + + implicit none + real(pReal), dimension(3,3), intent(out) :: & + Lp !< plastic velocity gradient + real(pReal), dimension(9,9), intent(out) :: & + dLp_dTstar99 !< derivative of Lp with respect to 2nd Piola Kirchhoff stress + + integer(pInt), intent(in) :: & + ipc, & !< component-ID of integration point + ip, & !< integration point + el !< element + real(pReal), dimension(6), intent(in) :: & + Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation + + integer(pInt) :: & + instance, & + index_myFamily, & + f,i,j,k,l,m,n, & + of, & + ph + + real(pReal), dimension(plastic_kinehardening_totalNslip(phase_plasticityInstance(phaseAt(ipc,ip,el)))) :: & + gdot_pos,gdot_neg, & + tau_pos,tau_neg + real(pReal) :: & + dgdot_dtau_pos,dgdot_dtau_neg + real(pReal), dimension(3,3,3,3) :: & + dLp_dTstar3333 !< derivative of Lp with respect to Tstar as 4th order tensor + real(pReal), dimension(3,3,2) :: & + nonSchmid_tensor + + ph = phaseAt(ipc,ip,el) !< figures phase for each material point + of = phasememberAt(ipc,ip,el) !< index of the positions of each constituent of material point, phasememberAt is a function in material that helps figure them out + instance = phase_plasticityInstance(ph) + + Lp = 0.0_pReal + dLp_dTstar3333 = 0.0_pReal + dLp_dTstar99 = 0.0_pReal + + call plastic_kinehardening_shearRates(gdot_pos,gdot_neg,tau_pos,tau_neg, & + Tstar_v,ph,instance,of) + + + j = 0_pInt ! reading and marking the starting index for each slip family + slipFamilies: do f = 1_pInt,lattice_maxNslipFamily + index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family + slipSystems: do i = 1_pInt,plastic_kinehardening_Nslip(f,instance) + j = j + 1_pInt + + ! build nonSchmid tensor + nonSchmid_tensor(1:3,1:3,1) = lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph) + nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,1) + do k = 1,lattice_NnonSchmid(ph) + nonSchmid_tensor(1:3,1:3,1) = & + nonSchmid_tensor(1:3,1:3,1) + param(instance)%nonSchmidCoeff(k) * & + lattice_Sslip(1:3,1:3,2*k,index_myFamily+i,ph) + nonSchmid_tensor(1:3,1:3,2) = & + nonSchmid_tensor(1:3,1:3,2) + param(instance)%nonSchmidCoeff(k) * & + lattice_Sslip(1:3,1:3,2*k+1,index_myFamily+i,ph) + enddo + + Lp = Lp + (gdot_pos(j)+gdot_neg(j))*lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph) ! sum of all gdot*SchmidTensor gives Lp + + ! Calculation of the tangent of Lp ! sensitivity of Lp + if (dNeq0(gdot_pos(j))) then + dgdot_dtau_pos = gdot_pos(j)*param(instance)%n_slip/(tau_pos(j)-state(instance)%crss_back(j,of)) + 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_dtau_pos*lattice_Sslip(k,l,1,index_myFamily+i,ph)* & + nonSchmid_tensor(m,n,1) + endif + + if (dNeq0(gdot_neg(j))) then + dgdot_dtau_neg = gdot_neg(j)*param(instance)%n_slip/(tau_neg(j)-state(instance)%crss_back(j,of)) + 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_dtau_neg*lattice_Sslip(k,l,1,index_myFamily+i,ph)* & + nonSchmid_tensor(m,n,2) + endif + enddo slipSystems + enddo slipFamilies + + dLp_dTstar99 = math_Plain3333to99(dLp_dTstar3333) + +end subroutine plastic_kinehardening_LpAndItsTangent + +!-------------------------------------------------------------------------------------------------- +!> @brief calculates (instantaneous) incremental change of microstructure +!-------------------------------------------------------------------------------------------------- +subroutine plastic_kinehardening_deltaState(Tstar_v,ipc,ip,el) + use prec, only: & + dNeq, & + dEq0 + use debug, only: & + debug_level, & + debug_constitutive, & + debug_levelExtensive, & + debug_levelSelective, & + debug_e, & + debug_i, & + debug_g + use material, only: & + phaseAt, & + phasememberAt, & + phase_plasticityInstance + + implicit none + real(pReal), dimension(6), intent(in):: & + Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation + integer(pInt), intent(in) :: & + ipc, & !< component-ID of integration point + ip, & !< integration point + el !< element + real(pReal), dimension(6) :: & + Tstar_dev_v !< deviatoric 2nd Piola Kirchhoff stress tensor in Mandel notation + real(pReal), dimension(plastic_kinehardening_totalNslip(phase_plasticityInstance(phaseAt(ipc,ip,el)))) :: & + gdot_pos,gdot_neg, & + tau_pos,tau_neg, & + sense + integer(pInt) :: & + ph, & + instance, & !< instance of my instance (unique number of my constitutive model) + of, & + j !< shortcut notation for offset position in state array + + ph = phaseAt(ipc,ip,el) + of = phasememberAt(ipc,ip,el) ! phasememberAt should be tackled by material and be renamed to material_phasemember + instance = phase_plasticityInstance(ph) + + call plastic_kinehardening_shearRates(gdot_pos,gdot_neg,tau_pos,tau_neg, & + Tstar_v,ph,instance,of) + sense = merge(state(instance)%sense(:,of), & ! keep existing... + sign(1.0_pReal,gdot_pos+gdot_neg), & ! ...or have a defined + dEq0(gdot_pos+gdot_neg,1e-10_pReal)) ! current sense of shear direction + +#ifdef DEBUG + if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0_pInt & + .and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) & + .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0_pInt)) then + write(6,'(a)') '======= kinehardening delta state =======' + endif +#endif + +!-------------------------------------------------------------------------------------------------- +! switch in sense of shear? + do j = 1,plastic_kinehardening_totalNslip(instance) +#ifdef DEBUG + if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0_pInt & + .and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) & + .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0_pInt)) then + write(6,'(i2,1x,f7.4,1x,f7.4)') j,sense(j),state(instance)%sense(j,of) + endif +#endif + if (dNeq(sense(j),state(instance)%sense(j,of),0.1_pReal)) then + deltaState(instance)%sense (j,of) = sense(j) - state(instance)%sense(j,of) ! switch sense + deltaState(instance)%chi0 (j,of) = abs(state(instance)%crss_back(j,of)) - state(instance)%chi0(j,of) ! remember current backstress magnitude + deltaState(instance)%gamma0(j,of) = state(instance)%accshear(j,of) - state(instance)%gamma0(j,of) ! remember current accumulated shear + else + deltaState(instance)%sense (j,of) = 0.0_pReal ! no change + deltaState(instance)%chi0 (j,of) = 0.0_pReal + deltaState(instance)%gamma0(j,of) = 0.0_pReal + endif + enddo + +end subroutine plastic_kinehardening_deltaState + + + +!-------------------------------------------------------------------------------------------------- +!> @brief calculates the rate of change of microstructure +!-------------------------------------------------------------------------------------------------- +subroutine plastic_kinehardening_dotState(Tstar_v,ipc,ip,el) + use lattice, only: & + lattice_Sslip_v, & + lattice_maxNslipFamily, & + lattice_NslipSystem, & + lattice_NnonSchmid + use material, only: & + material_phase, & + phaseAt, phasememberAt, & + plasticState, & + phase_plasticityInstance + + implicit none + real(pReal), dimension(6), intent(in) :: & + Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation, vector form + integer(pInt), intent(in) :: & + ipc, & !< component-ID of integration point + ip, & !< integration point + el !< element !< microstructure state + + integer(pInt) :: & + instance,ph, & + f,i,j,k, & + index_myFamily,index_otherFamily, & + nSlip, & + offset_accshear, & + of + + real(pReal), dimension(plastic_kinehardening_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & + gdot_pos,gdot_neg, & + tau_pos,tau_neg + + of = phasememberAt(ipc,ip,el) + ph = phaseAt(ipc,ip,el) + instance = phase_plasticityInstance(ph) + nSlip = plastic_kinehardening_totalNslip(instance) + + dotState(instance)%sumGamma(of) = 0.0_pReal + + call plastic_kinehardening_shearRates(gdot_pos,gdot_neg,tau_pos,tau_neg, & + Tstar_v,ph,instance,of) + + j = 0_pInt + slipFamilies: do f = 1_pInt,lattice_maxNslipFamily + slipSystems: do i = 1_pInt,plastic_kinehardening_Nslip(f,instance) + j = j+1_pInt + dotState(instance)%crss(j,of) = & ! evolution of slip resistance j + dot_product(param(instance)%hardeningMatrix_SlipSlip(j,1:nSlip),abs(gdot_pos+gdot_neg)) * & + ( param(instance)%theta1(f) + & + (param(instance)%theta0(f) - param(instance)%theta1(f) & + + param(instance)%theta0(f)*param(instance)%theta1(f)*state(instance)%sumGamma(of)/param(instance)%tau1(f)) & + *exp(-state(instance)%sumGamma(of)*param(instance)%theta0(f)/param(instance)%tau1(f)) & ! V term depending on the harding law + ) + dotState(instance)%crss_back(j,of) = & ! evolution of back stress resistance j + state(instance)%sense(j,of)*abs(gdot_pos(j)+gdot_neg(j)) * & + ( param(instance)%theta1_b(f) + & + (param(instance)%theta0_b(f) - param(instance)%theta1_b(f) & + + param(instance)%theta0_b(f)*param(instance)%theta1_b(f)/(param(instance)%tau1_b(f)+state(instance)%chi0(j,of)) & + *(state(instance)%accshear(j,of)-state(instance)%gamma0(j,of))) & + *exp(-(state(instance)%accshear(j,of)-state(instance)%gamma0(j,of)) & + *param(instance)%theta0_b(f)/(param(instance)%tau1_b(f)+state(instance)%chi0(j,of))) & + ) ! V term depending on the harding law for back stress + + dotState(instance)%accshear(j,of) = abs(gdot_pos(j)+gdot_neg(j)) + dotState(instance)%sumGamma(of) = dotState(instance)%sumGamma(of) + dotState(instance)%accshear(j,of) + enddo slipSystems + enddo slipFamilies + +end subroutine plastic_kinehardening_dotState + +!-------------------------------------------------------------------------------------------------- +!> @brief return array of constitutive results +!-------------------------------------------------------------------------------------------------- +function plastic_kinehardening_postResults(Tstar_v,ipc,ip,el) + use material, only: & + material_phase, & + plasticState, & + phaseAt, phasememberAt, & + phase_plasticityInstance + use lattice, only: & + lattice_Sslip_v, & + lattice_maxNslipFamily, & + lattice_NslipSystem, & + lattice_NnonSchmid + + implicit none + real(pReal), dimension(6), intent(in) :: & + Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation + integer(pInt), intent(in) :: & + ipc, & !< component-ID of integration point + ip, & !< integration point + el !< element !< microstructure state + + real(pReal), dimension(plastic_kinehardening_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & + plastic_kinehardening_postResults + + integer(pInt) :: & + instance,ph, of, & + nSlip,& + o,f,i,c,j,k, & + index_myFamily + + real(pReal), dimension(plastic_kinehardening_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & + gdot_pos,gdot_neg, & + tau_pos,tau_neg + + of = phasememberAt(ipc,ip,el) + ph = phaseAt(ipc,ip,el) + instance = phase_plasticityInstance(ph) + + nSlip = plastic_kinehardening_totalNslip(instance) + + plastic_kinehardening_postResults = 0.0_pReal + c = 0_pInt + + call plastic_kinehardening_shearRates(gdot_pos,gdot_neg,tau_pos,tau_neg, & + Tstar_v,ph,instance,of) + + outputsLoop: do o = 1_pInt,plastic_kinehardening_Noutput(instance) + select case(param(instance)%outputID(o)) + case (crss_ID) + plastic_kinehardening_postResults(c+1_pInt:c+nSlip) = state(instance)%crss(:,of) + c = c + nSlip + + case(crss_back_ID) + plastic_kinehardening_postResults(c+1_pInt:c+nSlip) = state(instance)%crss_back(:,of) + c = c + nSlip + + case (sense_ID) + plastic_kinehardening_postResults(c+1_pInt:c+nSlip) = state(instance)%sense(:,of) + c = c + nSlip + + case (chi0_ID) + plastic_kinehardening_postResults(c+1_pInt:c+nSlip) = state(instance)%chi0(:,of) + c = c + nSlip + + case (gamma0_ID) + plastic_kinehardening_postResults(c+1_pInt:c+nSlip) = state(instance)%gamma0(:,of) + c = c + nSlip + + case (accshear_ID) + plastic_kinehardening_postResults(c+1_pInt:c+nSlip) = state(instance)%accshear(:,of) + c = c + nSlip + + case (sumGamma_ID) + plastic_kinehardening_postResults(c+1_pInt) = state(instance)%sumGamma(of) + c = c + 1_pInt + + case (shearrate_ID) + plastic_kinehardening_postResults(c+1_pInt:c+nSlip) = gdot_pos+gdot_neg + c = c + nSlip + + case (resolvedstress_ID) + j = 0_pInt + slipFamilies: do f = 1_pInt,lattice_maxNslipFamily + index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family + slipSystems: do i = 1_pInt,plastic_kinehardening_Nslip(f,instance) + j = j + 1_pInt + plastic_kinehardening_postResults(c+j) = & + dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,ph)) + enddo slipSystems + enddo slipFamilies + c = c + nSlip + + end select + enddo outputsLoop + +end function plastic_kinehardening_postResults + +end module plastic_kinehardening