!-------------------------------------------------------------------------------------------------- ! $Id$ !-------------------------------------------------------------------------------------------------- !> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @brief elasticity, plasticity, internal microstructure state !-------------------------------------------------------------------------------------------------- module constitutive use prec, only: & pInt implicit none private integer(pInt), public, protected :: & constitutive_maxSizePostResults, & constitutive_maxSizeDotState, & constitutive_damage_maxSizePostResults, & constitutive_damage_maxSizeDotState, & constitutive_thermal_maxSizePostResults, & constitutive_thermal_maxSizeDotState public :: & constitutive_init, & constitutive_homogenizedC, & constitutive_microstructure, & constitutive_LpAndItsTangent, & constitutive_TandItsTangent, & constitutive_collectDotState, & constitutive_collectDeltaState, & constitutive_getLocalDamage, & constitutive_putLocalDamage, & constitutive_getDamage, & constitutive_getAdiabaticTemperature, & constitutive_putAdiabaticTemperature, & constitutive_getTemperature, & constitutive_postResults private :: & constitutive_hooke_TandItsTangent, & constitutive_getAccumulatedSlip contains !-------------------------------------------------------------------------------------------------- !> @brief allocates arrays pointing to array of the various constitutive modules !-------------------------------------------------------------------------------------------------- subroutine constitutive_init #ifdef HDF use hdf5, only: & HID_T use IO, only : & HDF5_mappingConstitutive #endif use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment) use prec, only: & pReal use debug, only: & debug_level, & debug_constitutive, & debug_levelBasic use numerics, only: & worldrank, & numerics_integrator use IO, only: & IO_error, & IO_open_file, & IO_open_jobFile_stat, & IO_write_jobFile, & IO_write_jobIntFile, & IO_timeStamp use mesh, only: & mesh_maxNips, & mesh_NcpElems, & mesh_element, & FE_Nips, & FE_geomtype use material, only: & material_phase, & material_Nphase, & material_localFileExt, & material_configFile, & phase_name, & phase_elasticity, & phase_plasticity, & phase_plasticityInstance, & phase_damage, & phase_damageInstance, & phase_thermal, & phase_thermalInstance, & phase_Noutput, & homogenization_Ngrains, & homogenization_maxNgrains, & ELASTICITY_hooke_ID, & PLASTICITY_none_ID, & PLASTICITY_j2_ID, & PLASTICITY_phenopowerlaw_ID, & PLASTICITY_dislotwin_ID, & PLASTICITY_dislokmc_ID, & PLASTICITY_titanmod_ID, & PLASTICITY_nonlocal_ID ,& ELASTICITY_HOOKE_label, & PLASTICITY_NONE_label, & PLASTICITY_J2_label, & PLASTICITY_PHENOPOWERLAW_label, & PLASTICITY_DISLOTWIN_label, & PLASTICITY_DISLOKMC_label, & PLASTICITY_TITANMOD_label, & PLASTICITY_NONLOCAL_label, & LOCAL_DAMAGE_none_ID, & LOCAL_DAMAGE_brittle_ID, & LOCAL_DAMAGE_ductile_ID, & LOCAL_DAMAGE_gurson_ID, & LOCAL_THERMAL_isothermal_ID, & LOCAL_THERMAL_adiabatic_ID, & LOCAL_DAMAGE_NONE_label, & LOCAL_DAMAGE_brittle_label, & LOCAL_DAMAGE_ductile_label, & LOCAL_DAMAGE_gurson_label, & LOCAL_THERMAL_isothermal_label, & LOCAL_THERMAL_adiabatic_label, & plasticState, & damageState, & thermalState, & mappingConstitutive use constitutive_none use constitutive_j2 use constitutive_phenopowerlaw use constitutive_dislotwin use constitutive_dislokmc use constitutive_titanmod use constitutive_nonlocal use damage_none use damage_brittle use damage_ductile use damage_gurson use thermal_isothermal use thermal_adiabatic implicit none integer(pInt), parameter :: FILEUNIT = 200_pInt integer(pInt) :: & e, & !< maximum number of elements phase, & instance integer(pInt), dimension(:,:), pointer :: thisSize integer(pInt), dimension(:) , pointer :: thisNoutput character(len=64), dimension(:,:), pointer :: thisOutput character(len=32) :: outputName !< name of output, intermediate fix until HDF5 output is ready logical :: knownPlasticity, knownDamage, knownThermal, nonlocalConstitutionPresent nonlocalConstitutionPresent = .false. !-------------------------------------------------------------------------------------------------- ! parse plasticities from config file if (.not. IO_open_jobFile_stat(FILEUNIT,material_localFileExt)) & ! no local material configuration present... call IO_open_file(FILEUNIT,material_configFile) ! ... open material.config file if (any(phase_plasticity == PLASTICITY_NONE_ID)) call constitutive_none_init(FILEUNIT) if (any(phase_plasticity == PLASTICITY_J2_ID)) call constitutive_j2_init(FILEUNIT) if (any(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID)) call constitutive_phenopowerlaw_init(FILEUNIT) if (any(phase_plasticity == PLASTICITY_DISLOTWIN_ID)) call constitutive_dislotwin_init(FILEUNIT) if (any(phase_plasticity == PLASTICITY_DISLOKMC_ID)) call constitutive_dislokmc_init(FILEUNIT) if (any(phase_plasticity == PLASTICITY_TITANMOD_ID)) call constitutive_titanmod_init(FILEUNIT) if (any(phase_plasticity == PLASTICITY_NONLOCAL_ID)) then call constitutive_nonlocal_init(FILEUNIT) call constitutive_nonlocal_stateInit() endif close(FILEUNIT) !-------------------------------------------------------------------------------------------------- ! parse damage from config file if (.not. IO_open_jobFile_stat(FILEUNIT,material_localFileExt)) & ! no local material configuration present... call IO_open_file(FILEUNIT,material_configFile) ! ... open material.config file if (any(phase_damage == LOCAL_DAMAGE_none_ID)) call damage_none_init(FILEUNIT) if (any(phase_damage == LOCAL_DAMAGE_brittle_ID)) call damage_brittle_init(FILEUNIT) if (any(phase_damage == LOCAL_DAMAGE_ductile_ID)) call damage_ductile_init(FILEUNIT) if (any(phase_damage == LOCAL_DAMAGE_gurson_ID)) call damage_gurson_init(FILEUNIT) close(FILEUNIT) !-------------------------------------------------------------------------------------------------- ! parse thermal from config file if (.not. IO_open_jobFile_stat(FILEUNIT,material_localFileExt)) & ! no local material configuration present... call IO_open_file(FILEUNIT,material_configFile) ! ... open material.config file if (any(phase_thermal == LOCAL_THERMAL_isothermal_ID)) call thermal_isothermal_init(FILEUNIT) if (any(phase_thermal == LOCAL_THERMAL_adiabatic_ID)) call thermal_adiabatic_init(FILEUNIT) close(FILEUNIT) mainProcess: if (worldrank == 0) then write(6,'(/,a)') ' <<<+- constitutive init -+>>>' write(6,'(a)') ' $Id$' write(6,'(a15,a)') ' Current time: ',IO_timeStamp() #include "compilation_info.f90" endif mainProcess !-------------------------------------------------------------------------------------------------- ! write description file for constitutive phase output call IO_write_jobFile(FILEUNIT,'outputConstitutive') do phase = 1_pInt,material_Nphase instance = phase_plasticityInstance(phase) ! which instance of a plasticity is present phase knownPlasticity = .true. ! assume valid select case(phase_plasticity(phase)) ! split per constititution case (PLASTICITY_NONE_ID) outputName = PLASTICITY_NONE_label thisNoutput => null() thisOutput => null() ! constitutive_none_output thisSize => null() ! constitutive_none_sizePostResult case (PLASTICITY_J2_ID) outputName = PLASTICITY_J2_label thisNoutput => constitutive_j2_Noutput thisOutput => constitutive_j2_output thisSize => constitutive_j2_sizePostResult case (PLASTICITY_PHENOPOWERLAW_ID) outputName = PLASTICITY_PHENOPOWERLAW_label thisNoutput => constitutive_phenopowerlaw_Noutput thisOutput => constitutive_phenopowerlaw_output thisSize => constitutive_phenopowerlaw_sizePostResult case (PLASTICITY_DISLOTWIN_ID) outputName = PLASTICITY_DISLOTWIN_label thisNoutput => constitutive_dislotwin_Noutput thisOutput => constitutive_dislotwin_output thisSize => constitutive_dislotwin_sizePostResult case (PLASTICITY_DISLOKMC_ID) outputName = PLASTICITY_DISLOKMC_label thisNoutput => constitutive_dislokmc_Noutput thisOutput => constitutive_dislokmc_output thisSize => constitutive_dislokmc_sizePostResult case (PLASTICITY_TITANMOD_ID) outputName = PLASTICITY_TITANMOD_label thisNoutput => constitutive_titanmod_Noutput thisOutput => constitutive_titanmod_output thisSize => constitutive_titanmod_sizePostResult case (PLASTICITY_NONLOCAL_ID) outputName = PLASTICITY_NONLOCAL_label thisNoutput => constitutive_nonlocal_Noutput thisOutput => constitutive_nonlocal_output thisSize => constitutive_nonlocal_sizePostResult case default knownPlasticity = .false. end select write(FILEUNIT,'(/,a,/)') '['//trim(phase_name(phase))//']' if (knownPlasticity) then write(FILEUNIT,'(a)') '(plasticity)'//char(9)//trim(outputName) if (phase_plasticity(phase) /= PLASTICITY_NONE_ID) then do e = 1_pInt,thisNoutput(instance) write(FILEUNIT,'(a,i4)') trim(thisOutput(e,instance))//char(9),thisSize(e,instance) enddo endif endif #ifdef multiphysicsOut instance = phase_damageInstance(phase) ! which instance of a plasticity is present phase knownDamage = .true. select case(phase_damage(phase)) ! split per constititution case (LOCAL_DAMAGE_none_ID) outputName = LOCAL_DAMAGE_NONE_label thisNoutput => null() thisOutput => null() thisSize => null() case (LOCAL_DAMAGE_brittle_ID) outputName = LOCAL_DAMAGE_BRITTLE_label thisNoutput => damage_brittle_Noutput thisOutput => damage_brittle_output thisSize => damage_brittle_sizePostResult case (LOCAL_DAMAGE_ductile_ID) outputName = LOCAL_DAMAGE_DUCTILE_label thisNoutput => damage_ductile_Noutput thisOutput => damage_ductile_output thisSize => damage_ductile_sizePostResult case (LOCAL_DAMAGE_gurson_ID) outputName = LOCAL_DAMAGE_gurson_label thisNoutput => damage_gurson_Noutput thisOutput => damage_gurson_output thisSize => damage_gurson_sizePostResult case default knownDamage = .false. end select if (knownDamage) then write(FILEUNIT,'(a)') '(damage)'//char(9)//trim(outputName) if (phase_damage(phase) /= LOCAL_DAMAGE_none_ID) then do e = 1_pInt,thisNoutput(instance) write(FILEUNIT,'(a,i4)') trim(thisOutput(e,instance))//char(9),thisSize(e,instance) enddo endif endif instance = phase_thermalInstance(phase) ! which instance is present phase knownThermal = .true. select case(phase_thermal(phase)) ! split per constititution case (LOCAL_THERMAL_ISOTHERMAL_ID) outputName = LOCAL_THERMAL_ISOTHERMAL_label thisNoutput => null() thisOutput => null() thisSize => null() case (LOCAL_THERMAL_adiabatic_ID) outputName = LOCAL_THERMAL_ADIABATIC_label thisNoutput => thermal_adiabatic_Noutput thisOutput => thermal_adiabatic_output thisSize => thermal_adiabatic_sizePostResult case default knownThermal = .false. end select if (knownThermal) then write(FILEUNIT,'(a)') '(thermal)'//char(9)//trim(outputName) if (phase_thermal(phase) /= LOCAL_THERMAL_isothermal_ID) then do e = 1_pInt,thisNoutput(instance) write(FILEUNIT,'(a,i4)') trim(thisOutput(e,instance))//char(9),thisSize(e,instance) enddo endif endif #endif enddo close(FILEUNIT) constitutive_maxSizeDotState = 0_pInt constitutive_maxSizePostResults = 0_pInt constitutive_damage_maxSizePostResults = 0_pInt constitutive_damage_maxSizeDotState = 0_pInt constitutive_thermal_maxSizePostResults = 0_pInt constitutive_thermal_maxSizeDotState = 0_pInt PhaseLoop2:do phase = 1_pInt,material_Nphase plasticState(phase)%partionedState0 = plasticState(phase)%State0 plasticState(phase)%State = plasticState(phase)%State0 constitutive_maxSizeDotState = max(constitutive_maxSizeDotState, plasticState(phase)%sizeDotState) constitutive_maxSizePostResults = max(constitutive_maxSizePostResults, plasticState(phase)%sizePostResults) damageState(phase)%partionedState0 = damageState(phase)%State0 damageState(phase)%State = damageState(phase)%State0 constitutive_damage_maxSizeDotState = max(constitutive_damage_maxSizeDotState, damageState(phase)%sizeDotState) constitutive_damage_maxSizePostResults = max(constitutive_damage_maxSizePostResults, damageState(phase)%sizePostResults) thermalState(phase)%partionedState0 = thermalState(phase)%State0 thermalState(phase)%State = thermalState(phase)%State0 constitutive_thermal_maxSizeDotState = max(constitutive_thermal_maxSizeDotState, thermalState(phase)%sizeDotState) constitutive_thermal_maxSizePostResults = max(constitutive_thermal_maxSizePostResults, thermalState(phase)%sizePostResults) enddo PhaseLoop2 #ifdef HDF call HDF5_mappingConstitutive(mappingConstitutive) do phase = 1_pInt,material_Nphase instance = phase_plasticityInstance(phase) ! which instance of a plasticity is present phase select case(phase_plasticity(phase)) ! split per constititution case (PLASTICITY_NONE_ID) case (PLASTICITY_J2_ID) end select enddo #endif #ifdef TODO !-------------------------------------------------------------------------------------------------- ! report constitutive_maxSizeState = maxval(constitutive_sizeState) constitutive_maxSizeDotState = maxval(constitutive_sizeDotState) if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) then write(6,'(a32,1x,7(i8,1x))') 'constitutive_state0: ', shape(constitutive_state0) write(6,'(a32,1x,7(i8,1x))') 'constitutive_partionedState0: ', shape(constitutive_partionedState0) write(6,'(a32,1x,7(i8,1x))') 'constitutive_subState0: ', shape(constitutive_subState0) write(6,'(a32,1x,7(i8,1x))') 'constitutive_state: ', shape(constitutive_state) write(6,'(a32,1x,7(i8,1x))') 'constitutive_aTolState: ', shape(constitutive_aTolState) write(6,'(a32,1x,7(i8,1x))') 'constitutive_dotState: ', shape(constitutive_dotState) write(6,'(a32,1x,7(i8,1x))') 'constitutive_deltaState: ', shape(constitutive_deltaState) write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizeState: ', shape(constitutive_sizeState) write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizeDotState: ', shape(constitutive_sizeDotState) write(6,'(a32,1x,7(i8,1x),/)') 'constitutive_sizePostResults: ', shape(constitutive_sizePostResults) write(6,'(a32,1x,7(i8,1x))') 'maxSizeState: ', constitutive_maxSizeState write(6,'(a32,1x,7(i8,1x))') 'maxSizeDotState: ', constitutive_maxSizeDotState write(6,'(a32,1x,7(i8,1x))') 'maxSizePostResults: ', constitutive_maxSizePostResults endif flush(6) #endif end subroutine constitutive_init !-------------------------------------------------------------------------------------------------- !> @brief returns the homogenize elasticity matrix !-------------------------------------------------------------------------------------------------- function constitutive_homogenizedC(ipc,ip,el) use prec, only: & pReal use material, only: & phase_plasticity, & material_phase, & PLASTICITY_TITANMOD_ID, & PLASTICITY_DISLOTWIN_ID, & PLASTICITY_DISLOKMC_ID, & plasticState,& mappingConstitutive use constitutive_titanmod, only: & constitutive_titanmod_homogenizedC use constitutive_dislotwin, only: & constitutive_dislotwin_homogenizedC use constitutive_dislokmc, only: & constitutive_dislokmc_homogenizedC use lattice, only: & lattice_C66 implicit none real(pReal), dimension(6,6) :: constitutive_homogenizedC integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_DISLOTWIN_ID) constitutive_homogenizedC = constitutive_dislotwin_homogenizedC(ipc,ip,el) case (PLASTICITY_DISLOKMC_ID) constitutive_homogenizedC = constitutive_dislokmc_homogenizedC(ipc,ip,el) case (PLASTICITY_TITANMOD_ID) constitutive_homogenizedC = constitutive_titanmod_homogenizedC (ipc,ip,el) case default constitutive_homogenizedC = lattice_C66(1:6,1:6,material_phase (ipc,ip,el)) end select end function constitutive_homogenizedC !-------------------------------------------------------------------------------------------------- !> @brief calls microstructure function of the different constitutive models !-------------------------------------------------------------------------------------------------- subroutine constitutive_microstructure(Tstar_v, Fe, Fp, ipc, ip, el) use prec, only: & pReal use material, only: & phase_plasticity, & phase_damage, & material_phase, & PLASTICITY_dislotwin_ID, & PLASTICITY_dislokmc_ID, & PLASTICITY_titanmod_ID, & PLASTICITY_nonlocal_ID, & LOCAL_DAMAGE_brittle_ID, & LOCAL_DAMAGE_ductile_ID, & LOCAL_DAMAGE_gurson_ID use constitutive_titanmod, only: & constitutive_titanmod_microstructure use constitutive_nonlocal, only: & constitutive_nonlocal_microstructure use constitutive_dislotwin, only: & constitutive_dislotwin_microstructure use constitutive_dislokmc, only: & constitutive_dislokmc_microstructure use damage_brittle, only: & damage_brittle_microstructure use damage_ductile, only: & damage_ductile_microstructure use damage_gurson, only: & damage_gurson_microstructure implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal), intent(in), dimension(6) :: & Tstar_v !< 2nd Piola Kirchhoff stress tensor (Mandel) real(pReal), intent(in), dimension(3,3) :: & Fe, & !< elastic deformation gradient Fp !< plastic deformation gradient real(pReal) :: & damage, & Tstar_v_effective(6) real(pReal), dimension(:), allocatable :: & accumulatedSlip integer(pInt) :: & nSlip select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_DISLOTWIN_ID) call constitutive_dislotwin_microstructure(constitutive_getTemperature(ipc,ip,el),ipc,ip,el) case (PLASTICITY_DISLOKMC_ID) call constitutive_dislokmc_microstructure(constitutive_getTemperature(ipc,ip,el),ipc,ip,el) case (PLASTICITY_TITANMOD_ID) call constitutive_titanmod_microstructure (constitutive_getTemperature(ipc,ip,el),ipc,ip,el) case (PLASTICITY_NONLOCAL_ID) call constitutive_nonlocal_microstructure (Fe,Fp, ip,el) end select select case (phase_damage(material_phase(ipc,ip,el))) case (LOCAL_DAMAGE_brittle_ID) damage = constitutive_getDamage(ipc,ip,el) Tstar_v_effective = Tstar_v/(damage*damage) damage = constitutive_getDamage(ipc,ip,el) Tstar_v_effective = Tstar_v/(damage*damage) call damage_brittle_microstructure(Tstar_v_effective, Fe, ipc, ip, el) case (LOCAL_DAMAGE_ductile_ID) call constitutive_getAccumulatedSlip(nSlip,accumulatedSlip,Fp,ipc, ip, el) call damage_ductile_microstructure(nSlip,accumulatedSlip,ipc, ip, el) case (LOCAL_DAMAGE_gurson_ID) call damage_gurson_microstructure(ipc, ip, el) end select end subroutine constitutive_microstructure !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the velocity gradient !-------------------------------------------------------------------------------------------------- subroutine constitutive_LpAndItsTangent(Lp, dLp_dTstar, Tstar_v, ipc, ip, el) use prec, only: & pReal use math, only: & math_identity2nd use material, only: & phase_plasticity, & material_phase, & plasticState,& mappingConstitutive, & PLASTICITY_NONE_ID, & PLASTICITY_J2_ID, & PLASTICITY_PHENOPOWERLAW_ID, & PLASTICITY_DISLOTWIN_ID, & PLASTICITY_DISLOKMC_ID, & PLASTICITY_TITANMOD_ID, & PLASTICITY_NONLOCAL_ID use constitutive_j2, only: & constitutive_j2_LpAndItsTangent use constitutive_phenopowerlaw, only: & constitutive_phenopowerlaw_LpAndItsTangent use constitutive_dislotwin, only: & constitutive_dislotwin_LpAndItsTangent use constitutive_dislokmc, only: & constitutive_dislokmc_LpAndItsTangent use constitutive_titanmod, only: & constitutive_titanmod_LpAndItsTangent use constitutive_nonlocal, only: & constitutive_nonlocal_LpAndItsTangent implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal), intent(in), dimension(6) :: & Tstar_v !< 2nd Piola-Kirchhoff stress real(pReal), intent(out), dimension(3,3) :: & Lp !< plastic velocity gradient real(pReal), intent(out), dimension(9,9) :: & dLp_dTstar !< derivative of Lp with respect to Tstar (4th-order tensor) real(pReal) :: damage, Tstar_v_effective(6) damage = constitutive_getDamage(ipc,ip,el) Tstar_v_effective = Tstar_v/(damage*damage) select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_NONE_ID) Lp = 0.0_pReal dLp_dTstar = 0.0_pReal case (PLASTICITY_J2_ID) call constitutive_j2_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v_effective,ipc,ip,el) case (PLASTICITY_PHENOPOWERLAW_ID) call constitutive_phenopowerlaw_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v_effective,ipc,ip,el) case (PLASTICITY_NONLOCAL_ID) call constitutive_nonlocal_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v_effective,constitutive_getTemperature(ipc,ip,el),ip,el) case (PLASTICITY_DISLOTWIN_ID) call constitutive_dislotwin_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v_effective,constitutive_getTemperature(ipc,ip,el),ipc,ip,el) case (PLASTICITY_DISLOKMC_ID) call constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v_effective,constitutive_getTemperature(ipc,ip,el),ipc,ip,el) case (PLASTICITY_TITANMOD_ID) call constitutive_titanmod_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v_effective,constitutive_getTemperature(ipc,ip,el),ipc,ip,el) end select end subroutine constitutive_LpAndItsTangent !-------------------------------------------------------------------------------------------------- !> @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 !-------------------------------------------------------------------------------------------------- subroutine constitutive_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el) use prec, only: & pReal implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal), intent(in), dimension(3,3) :: & Fe !< elastic deformation gradient real(pReal), intent(out), dimension(3,3) :: & T !< 2nd Piola-Kirchhoff stress tensor real(pReal), intent(out), dimension(3,3,3,3) :: & dT_dFe !< derivative of 2nd P-K stress with respect to elastic deformation gradient call constitutive_hooke_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el) end subroutine constitutive_TandItsTangent !-------------------------------------------------------------------------------------------------- !> @brief returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to !> the elastic deformation gradient using hookes law !-------------------------------------------------------------------------------------------------- subroutine constitutive_hooke_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el) use prec, only: & pReal use math, only : & math_mul3x3, & math_mul33x33, & math_mul3333xx33, & math_Mandel66to3333, & math_transpose33, & math_trace33, & math_I3 use material, only: & mappingConstitutive use lattice, only: & lattice_referenceTemperature, & lattice_thermalExpansion33 implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal), intent(in), dimension(3,3) :: & Fe !< elastic deformation gradient real(pReal), intent(out), dimension(3,3) :: & T !< 2nd Piola-Kirchhoff stress tensor real(pReal), intent(out), dimension(3,3,3,3) :: & dT_dFe !< dT/dFe integer(pInt) :: i, j, k, l real(pReal) :: damage real(pReal), dimension(3,3,3,3) :: C damage = constitutive_getDamage(ipc,ip,el) C = damage*damage*math_Mandel66to3333(constitutive_homogenizedC(ipc,ip,el)) T = math_mul3333xx33(C,0.5_pReal*(math_mul33x33(math_transpose33(Fe),Fe)-math_I3) - & lattice_thermalExpansion33(1:3,1:3,mappingConstitutive(2,ipc,ip,el))* & (constitutive_getTemperature(ipc,ip,el) - & lattice_referenceTemperature(mappingConstitutive(2,ipc,ip,el)))) dT_dFe = 0.0_pReal forall (i=1_pInt:3_pInt, j=1_pInt:3_pInt, k=1_pInt:3_pInt, l=1_pInt:3_pInt) & dT_dFe(i,j,k,l) = sum(C(i,j,l,1:3)*Fe(k,1:3)) ! dT*_ij/dFe_kl end subroutine constitutive_hooke_TandItsTangent !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the rate of change of microstructure !-------------------------------------------------------------------------------------------------- subroutine constitutive_collectDotState(Tstar_v, Lp, FeArray, FpArray, subdt, subfracArray,& ipc, ip, el) use prec, only: & pReal, & pLongInt use debug, only: & debug_cumDotStateCalls, & debug_cumDotStateTicks, & debug_level, & debug_constitutive, & debug_levelBasic use mesh, only: & mesh_NcpElems, & mesh_maxNips use material, only: & phase_plasticity, & phase_damage, & phase_thermal, & material_phase, & homogenization_maxNgrains, & PLASTICITY_none_ID, & PLASTICITY_j2_ID, & PLASTICITY_phenopowerlaw_ID, & PLASTICITY_dislotwin_ID, & PLASTICITY_dislokmc_ID, & PLASTICITY_titanmod_ID, & PLASTICITY_nonlocal_ID, & LOCAL_DAMAGE_brittle_ID, & LOCAL_DAMAGE_ductile_ID, & LOCAL_DAMAGE_gurson_ID, & LOCAL_THERMAL_adiabatic_ID use constitutive_j2, only: & constitutive_j2_dotState use constitutive_phenopowerlaw, only: & constitutive_phenopowerlaw_dotState use constitutive_dislotwin, only: & constitutive_dislotwin_dotState use constitutive_dislokmc, only: & constitutive_dislokmc_dotState use constitutive_titanmod, only: & constitutive_titanmod_dotState use constitutive_nonlocal, only: & constitutive_nonlocal_dotState use damage_brittle, only: & damage_brittle_dotState use damage_ductile, only: & damage_ductile_dotState use damage_gurson, only: & damage_gurson_dotState use thermal_adiabatic, only: & thermal_adiabatic_dotState implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal), intent(in) :: & subdt !< timestep real(pReal), intent(in), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: & subfracArray !< subfraction of timestep real(pReal), intent(in), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: & FeArray, & !< elastic deformation gradient FpArray !< plastic deformation gradient real(pReal), intent(in), dimension(6) :: & Tstar_v !< 2nd Piola Kirchhoff stress tensor (Mandel) real(pReal), intent(in), dimension(3,3) :: & Lp !< plastic velocity gradient integer(pLongInt) :: & tick, tock, & tickrate, & maxticks if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) & call system_clock(count=tick,count_rate=tickrate,count_max=maxticks) select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_J2_ID) call constitutive_j2_dotState (Tstar_v,ipc,ip,el) case (PLASTICITY_PHENOPOWERLAW_ID) call constitutive_phenopowerlaw_dotState(Tstar_v,ipc,ip,el) case (PLASTICITY_DISLOTWIN_ID) call constitutive_dislotwin_dotState (Tstar_v,constitutive_getTemperature(ipc,ip,el),ipc,ip,el) case (PLASTICITY_DISLOKMC_ID) call constitutive_dislokmc_dotState (Tstar_v,constitutive_getTemperature(ipc,ip,el),ipc,ip,el) case (PLASTICITY_TITANMOD_ID) call constitutive_titanmod_dotState (Tstar_v,constitutive_getTemperature(ipc,ip,el),ipc,ip,el) case (PLASTICITY_NONLOCAL_ID) call constitutive_nonlocal_dotState (Tstar_v,FeArray,FpArray,constitutive_getTemperature(ipc,ip,el), & subdt,subfracArray,ip,el) end select select case (phase_damage(material_phase(ipc,ip,el))) case (LOCAL_DAMAGE_brittle_ID) call damage_brittle_dotState(ipc, ip, el) case (LOCAL_DAMAGE_ductile_ID) call damage_ductile_dotState(Lp, ipc, ip, el) case (LOCAL_DAMAGE_gurson_ID) call damage_gurson_dotState(Lp, ipc, ip, el) end select select case (phase_thermal(material_phase(ipc,ip,el))) case (LOCAL_THERMAL_adiabatic_ID) call thermal_adiabatic_dotState(Tstar_v, Lp, ipc, ip, el) end select if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) then call system_clock(count=tock,count_rate=tickrate,count_max=maxticks) !$OMP CRITICAL (debugTimingDotState) debug_cumDotStateCalls = debug_cumDotStateCalls + 1_pInt debug_cumDotStateTicks = debug_cumDotStateTicks + tock-tick !$OMP FLUSH (debug_cumDotStateTicks) if (tock < tick) debug_cumDotStateTicks = debug_cumDotStateTicks + maxticks !$OMP END CRITICAL (debugTimingDotState) endif end subroutine constitutive_collectDotState !-------------------------------------------------------------------------------------------------- !> @brief for constitutive models having an instantaneous change of state (so far, only nonlocal) !> will return false if delta state is not needed/supported by the constitutive model !-------------------------------------------------------------------------------------------------- logical function constitutive_collectDeltaState(Tstar_v, ipc, ip, el) use prec, only: & pReal, & pLongInt use debug, only: & debug_cumDeltaStateCalls, & debug_cumDeltaStateTicks, & debug_level, & debug_constitutive, & debug_levelBasic use material, only: & phase_plasticity, & material_phase, & plasticState, & mappingConstitutive, & PLASTICITY_NONLOCAL_ID use constitutive_nonlocal, only: & constitutive_nonlocal_deltaState implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal), intent(in), dimension(6) :: & Tstar_v !< 2nd Piola-Kirchhoff stress integer(pLongInt) :: & tick, tock, & tickrate, & maxticks if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) & call system_clock(count=tick,count_rate=tickrate,count_max=maxticks) select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_NONLOCAL_ID) constitutive_collectDeltaState = .true. call constitutive_nonlocal_deltaState(Tstar_v,ip,el) case default constitutive_collectDeltaState = .false. end select if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) then call system_clock(count=tock,count_rate=tickrate,count_max=maxticks) !$OMP CRITICAL (debugTimingDeltaState) debug_cumDeltaStateCalls = debug_cumDeltaStateCalls + 1_pInt debug_cumDeltaStateTicks = debug_cumDeltaStateTicks + tock-tick !$OMP FLUSH (debug_cumDeltaStateTicks) if (tock < tick) debug_cumDeltaStateTicks = debug_cumDeltaStateTicks + maxticks !$OMP END CRITICAL (debugTimingDeltaState) endif end function constitutive_collectDeltaState !-------------------------------------------------------------------------------------------------- !> @brief Returns the local(unregularised) damage !-------------------------------------------------------------------------------------------------- function constitutive_getLocalDamage(ipc, ip, el) use prec, only: & pReal use material, only: & material_phase, & LOCAL_DAMAGE_none_ID, & LOCAL_DAMAGE_brittle_ID, & LOCAL_DAMAGE_ductile_ID, & LOCAL_DAMAGE_gurson_ID, & phase_damage use damage_brittle, only: & constitutive_brittle_getDamage use damage_ductile, only: & constitutive_ductile_getDamage use damage_gurson, only: & constitutive_gurson_getDamage implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal) :: constitutive_getLocalDamage select case (phase_damage(material_phase(ipc,ip,el))) case (LOCAL_DAMAGE_none_ID) constitutive_getLocalDamage = 1.0_pReal case (LOCAL_DAMAGE_brittle_ID) constitutive_getLocalDamage = constitutive_brittle_getDamage(ipc, ip, el) case (LOCAL_DAMAGE_ductile_ID) constitutive_getLocalDamage = constitutive_ductile_getDamage(ipc, ip, el) case (LOCAL_DAMAGE_gurson_ID) constitutive_getLocalDamage = constitutive_gurson_getDamage(ipc, ip, el) end select end function constitutive_getLocalDamage !-------------------------------------------------------------------------------------------------- !> @brief Returns the local(unregularised) damage !-------------------------------------------------------------------------------------------------- subroutine constitutive_putLocalDamage(ipc, ip, el, localDamage) use prec, only: & pReal use material, only: & material_phase, & LOCAL_DAMAGE_BRITTLE_ID, & LOCAL_DAMAGE_DUCTILE_ID, & LOCAL_DAMAGE_gurson_ID, & phase_damage use damage_brittle, only: & constitutive_brittle_putDamage use damage_ductile, only: & constitutive_ductile_putDamage use damage_gurson, only: & constitutive_gurson_putDamage implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal), intent(in) :: & localDamage select case (phase_damage(material_phase(ipc,ip,el))) case (LOCAL_DAMAGE_BRITTLE_ID) call constitutive_brittle_putDamage(ipc, ip, el, localDamage) case (LOCAL_DAMAGE_DUCTILE_ID) call constitutive_ductile_putDamage(ipc, ip, el, localDamage) case (LOCAL_DAMAGE_gurson_ID) call constitutive_gurson_putDamage(ipc, ip, el, localDamage) end select end subroutine constitutive_putLocalDamage !-------------------------------------------------------------------------------------------------- !> @brief returns nonlocal (regularised) damage !-------------------------------------------------------------------------------------------------- function constitutive_getDamage(ipc, ip, el) use prec, only: & pReal use material, only: & material_homog, & mappingHomogenization, & fieldDamage, & field_damage_type, & FIELD_DAMAGE_LOCAL_ID, & FIELD_DAMAGE_NONLOCAL_ID implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal) :: constitutive_getDamage select case(field_damage_type(material_homog(ip,el))) case (FIELD_DAMAGE_LOCAL_ID) constitutive_getDamage = constitutive_getLocalDamage(ipc, ip, el) case (FIELD_DAMAGE_NONLOCAL_ID) constitutive_getDamage = fieldDamage(material_homog(ip,el))% & field(1,mappingHomogenization(1,ip,el)) ! Taylor type end select end function constitutive_getDamage !-------------------------------------------------------------------------------------------------- !> @brief returns local (unregularised) temperature !-------------------------------------------------------------------------------------------------- function constitutive_getAdiabaticTemperature(ipc, ip, el) use prec, only: & pReal use material, only: & material_phase, & LOCAL_THERMAL_isothermal_ID, & LOCAL_THERMAL_adiabatic_ID, & phase_thermal use thermal_adiabatic, only: & thermal_adiabatic_getTemperature use lattice, only: & lattice_referenceTemperature implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal) :: constitutive_getAdiabaticTemperature select case (phase_thermal(material_phase(ipc,ip,el))) case (LOCAL_THERMAL_isothermal_ID) constitutive_getAdiabaticTemperature = lattice_referenceTemperature(material_phase(ipc,ip,el)) case (LOCAL_THERMAL_adiabatic_ID) constitutive_getAdiabaticTemperature = thermal_adiabatic_getTemperature(ipc, ip, el) end select end function constitutive_getAdiabaticTemperature !-------------------------------------------------------------------------------------------------- !> @brief Returns the local(unregularised) damage !-------------------------------------------------------------------------------------------------- subroutine constitutive_putAdiabaticTemperature(ipc, ip, el, localTemperature) use prec, only: & pReal use material, only: & material_phase, & LOCAL_THERMAL_adiabatic_ID, & phase_thermal use thermal_adiabatic, only: & thermal_adiabatic_putTemperature implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal), intent(in) :: & localTemperature select case (phase_thermal(material_phase(ipc,ip,el))) case (LOCAL_THERMAL_adiabatic_ID) call thermal_adiabatic_putTemperature(ipc, ip, el, localTemperature) end select end subroutine constitutive_putAdiabaticTemperature !-------------------------------------------------------------------------------------------------- !> @brief returns nonlocal (regularised) temperature !-------------------------------------------------------------------------------------------------- function constitutive_getTemperature(ipc, ip, el) use prec, only: & pReal use material, only: & mappingHomogenization, & material_phase, & fieldThermal, & field_thermal_type, & FIELD_THERMAL_local_ID, & FIELD_THERMAL_nonlocal_ID, & material_homog use lattice, only: & lattice_referenceTemperature implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal) :: constitutive_getTemperature select case(field_thermal_type(material_homog(ip,el))) case (FIELD_THERMAL_local_ID) constitutive_getTemperature = constitutive_getAdiabaticTemperature(ipc, ip, el) case (FIELD_THERMAL_nonlocal_ID) constitutive_getTemperature = fieldThermal(material_homog(ip,el))% & field(1,mappingHomogenization(1,ip,el)) ! Taylor type end select end function constitutive_getTemperature !-------------------------------------------------------------------------------------------------- !> @brief returns accumulated slip on each system defined !-------------------------------------------------------------------------------------------------- subroutine constitutive_getAccumulatedSlip(nSlip,accumulatedSlip,Fp,ipc, ip, el) use prec, only: & pReal, & pInt use math, only: & math_mul33xx33, & math_norm33, & math_I3 use material, only: & phase_plasticity, & material_phase, & PLASTICITY_none_ID, & PLASTICITY_j2_ID, & PLASTICITY_phenopowerlaw_ID, & PLASTICITY_dislotwin_ID, & PLASTICITY_dislokmc_ID, & PLASTICITY_titanmod_ID, & PLASTICITY_nonlocal_ID use constitutive_phenopowerlaw, only: & constitutive_phenopowerlaw_getAccumulatedSlip use constitutive_dislotwin, only: & constitutive_dislotwin_getAccumulatedSlip use constitutive_dislokmc, only: & constitutive_dislokmc_getAccumulatedSlip use constitutive_titanmod, only: & constitutive_titanmod_getAccumulatedSlip use constitutive_nonlocal, only: & constitutive_nonlocal_getAccumulatedSlip implicit none real(pReal), dimension(:), allocatable :: & accumulatedSlip integer(pInt) :: & nSlip real(pReal), intent(in), dimension(3,3) :: & Fp !< plastic velocity gradient integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_none_ID) nSlip = 0_pInt allocate(accumulatedSlip(nSlip)) case (PLASTICITY_J2_ID) nSlip = 1_pInt allocate(accumulatedSlip(nSlip)) accumulatedSlip(1) = math_norm33(math_mul33xx33(transpose(Fp),Fp) - math_I3)/2.0_pReal case (PLASTICITY_PHENOPOWERLAW_ID) call constitutive_phenopowerlaw_getAccumulatedSlip(nSlip,accumulatedSlip,ipc, ip, el) case (PLASTICITY_DISLOTWIN_ID) call constitutive_dislotwin_getAccumulatedSlip(nSlip,accumulatedSlip,ipc, ip, el) case (PLASTICITY_DISLOKMC_ID) call constitutive_dislokmc_getAccumulatedSlip(nSlip,accumulatedSlip,ipc, ip, el) case (PLASTICITY_TITANMOD_ID) call constitutive_titanmod_getAccumulatedSlip(nSlip,accumulatedSlip,ipc, ip, el) case (PLASTICITY_NONLOCAL_ID) call constitutive_nonlocal_getAccumulatedSlip(nSlip,accumulatedSlip,ipc, ip, el) end select end subroutine constitutive_getAccumulatedSlip !-------------------------------------------------------------------------------------------------- !> @brief returns array of constitutive results !-------------------------------------------------------------------------------------------------- function constitutive_postResults(Tstar_v, FeArray, ipc, ip, el) use prec, only: & pReal use mesh, only: & mesh_NcpElems, & mesh_maxNips use material, only: & plasticState, & damageState, & thermalState, & phase_plasticity, & phase_damage, & phase_thermal, & material_phase, & homogenization_maxNgrains, & PLASTICITY_NONE_ID, & PLASTICITY_J2_ID, & PLASTICITY_PHENOPOWERLAW_ID, & PLASTICITY_DISLOTWIN_ID, & PLASTICITY_DISLOKMC_ID, & PLASTICITY_TITANMOD_ID, & PLASTICITY_NONLOCAL_ID, & LOCAL_DAMAGE_BRITTLE_ID, & LOCAL_DAMAGE_DUCTILE_ID, & LOCAL_DAMAGE_gurson_ID, & LOCAL_THERMAL_ADIABATIC_ID use constitutive_j2, only: & #ifdef HDF constitutive_j2_postResults2,& #endif constitutive_j2_postResults use constitutive_phenopowerlaw, only: & constitutive_phenopowerlaw_postResults use constitutive_dislotwin, only: & constitutive_dislotwin_postResults use constitutive_dislokmc, only: & constitutive_dislokmc_postResults use constitutive_titanmod, only: & constitutive_titanmod_postResults use constitutive_nonlocal, only: & constitutive_nonlocal_postResults #ifdef multiphysicsOut use damage_brittle, only: & damage_brittle_postResults use damage_ductile, only: & damage_ductile_postResults use damage_gurson, only: & damage_gurson_postResults use thermal_adiabatic, only: & thermal_adiabatic_postResults #endif implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number #ifdef multiphysicsOut real(pReal), dimension(plasticState(material_phase(ipc,ip,el))%sizePostResults + & damageState( material_phase(ipc,ip,el))%sizePostResults + & thermalState(material_phase(ipc,ip,el))%sizePostResults) :: & constitutive_postResults #else real(pReal), dimension(plasticState(material_phase(ipc,ip,el))%sizePostResults) :: & constitutive_postResults #endif real(pReal), intent(in), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: & FeArray !< elastic deformation gradient real(pReal), intent(in), dimension(6) :: & Tstar_v !< 2nd Piola Kirchhoff stress tensor (Mandel) real(pReal) :: damage, Tstar_v_effective(6) integer(pInt) :: startPos, endPos damage = constitutive_getDamage(ipc,ip,el) Tstar_v_effective = damage*damage*Tstar_v constitutive_postResults = 0.0_pReal startPos = 1_pInt endPos = plasticState(material_phase(ipc,ip,el))%sizePostResults select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_TITANMOD_ID) constitutive_postResults(startPos:endPos) = constitutive_titanmod_postResults(ipc,ip,el) case (PLASTICITY_J2_ID) constitutive_postResults(startPos:endPos) = constitutive_j2_postResults(Tstar_v_effective,ipc,ip,el) case (PLASTICITY_PHENOPOWERLAW_ID) constitutive_postResults(startPos:endPos) = & constitutive_phenopowerlaw_postResults(Tstar_v_effective,ipc,ip,el) case (PLASTICITY_DISLOTWIN_ID) constitutive_postResults(startPos:endPos) = & constitutive_dislotwin_postResults(Tstar_v_effective,constitutive_getTemperature(ipc,ip,el),ipc,ip,el) case (PLASTICITY_DISLOKMC_ID) constitutive_postResults(startPos:endPos) = & constitutive_dislokmc_postResults(Tstar_v_effective,constitutive_getTemperature(ipc,ip,el),ipc,ip,el) case (PLASTICITY_NONLOCAL_ID) constitutive_postResults(startPos:endPos) = & constitutive_nonlocal_postResults (Tstar_v_effective,FeArray,ip,el) end select #ifdef multiphysicsOut startPos = endPos + 1_pInt endPos = endPos + damageState(material_phase(ipc,ip,el))%sizePostResults select case (phase_damage(material_phase(ipc,ip,el))) case (LOCAL_DAMAGE_BRITTLE_ID) constitutive_postResults(startPos:endPos) = damage_brittle_postResults(ipc, ip, el) case (LOCAL_DAMAGE_DUCTILE_ID) constitutive_postResults(startPos:endPos) = damage_ductile_postResults(ipc, ip, el) case (LOCAL_DAMAGE_gurson_ID) constitutive_postResults(startPos:endPos) = damage_gurson_postResults(ipc, ip, el) end select startPos = endPos + 1_pInt endPos = endPos + thermalState(material_phase(ipc,ip,el))%sizePostResults select case (phase_thermal(material_phase(ipc,ip,el))) case (LOCAL_THERMAL_ADIABATIC_ID) constitutive_postResults(startPos:endPos) = thermal_adiabatic_postResults(ipc, ip, el) end select #endif end function constitutive_postResults end module constitutive