!-------------------------------------------------------------------------------------------------- !> @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_plasticity_maxSizePostResults, & constitutive_plasticity_maxSizeDotState, & constitutive_source_maxSizePostResults, & constitutive_source_maxSizeDotState public :: & constitutive_init, & constitutive_homogenizedC, & constitutive_microstructure, & constitutive_LpAndItsTangent, & constitutive_LiAndItsTangent, & constitutive_initialFi, & constitutive_TandItsTangent, & constitutive_collectDotState, & constitutive_collectDeltaState, & constitutive_postResults private :: & constitutive_hooke_TandItsTangent contains !-------------------------------------------------------------------------------------------------- !> @brief allocates arrays pointing to array of the various constitutive modules !-------------------------------------------------------------------------------------------------- subroutine constitutive_init() #if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800 use, intrinsic :: iso_fortran_env, only: & compiler_version, & compiler_options #endif use prec, only: & pReal use debug, only: & debug_constitutive, & debug_levelBasic use numerics, only: & worldrank use IO, only: & IO_error, & IO_open_file, & IO_checkAndRewind, & IO_open_jobFile_stat, & IO_write_jobFile, & IO_write_jobIntFile, & IO_timeStamp use mesh, only: & FE_geomtype use material, only: & material_phase, & material_Nphase, & material_localFileExt, & material_configFile, & phase_name, & phase_plasticity, & phase_plasticityInstance, & phase_Nsources, & phase_source, & phase_kinematics, & ELASTICITY_hooke_ID, & PLASTICITY_none_ID, & PLASTICITY_isotropic_ID, & PLASTICITY_phenopowerlaw_ID, & PLASTICITY_dislotwin_ID, & PLASTICITY_disloucla_ID, & PLASTICITY_nonlocal_ID ,& SOURCE_thermal_dissipation_ID, & SOURCE_thermal_externalheat_ID, & SOURCE_damage_isoBrittle_ID, & SOURCE_damage_isoDuctile_ID, & SOURCE_damage_anisoBrittle_ID, & SOURCE_damage_anisoDuctile_ID, & SOURCE_vacancy_phenoplasticity_ID, & SOURCE_vacancy_irradiation_ID, & SOURCE_vacancy_thermalfluc_ID, & KINEMATICS_cleavage_opening_ID, & KINEMATICS_slipplane_opening_ID, & KINEMATICS_thermal_expansion_ID, & KINEMATICS_vacancy_strain_ID, & KINEMATICS_hydrogen_strain_ID, & ELASTICITY_HOOKE_label, & PLASTICITY_NONE_label, & PLASTICITY_ISOTROPIC_label, & PLASTICITY_PHENOPOWERLAW_label, & PLASTICITY_DISLOTWIN_label, & PLASTICITY_DISLOUCLA_label, & PLASTICITY_NONLOCAL_label, & SOURCE_thermal_dissipation_label, & SOURCE_thermal_externalheat_label, & SOURCE_damage_isoBrittle_label, & SOURCE_damage_isoDuctile_label, & SOURCE_damage_anisoBrittle_label, & SOURCE_damage_anisoDuctile_label, & SOURCE_vacancy_phenoplasticity_label, & SOURCE_vacancy_irradiation_label, & SOURCE_vacancy_thermalfluc_label, & plasticState, & sourceState use plastic_none use plastic_isotropic use plastic_phenopowerlaw use plastic_dislotwin use plastic_disloucla use plastic_nonlocal use source_thermal_dissipation use source_thermal_externalheat use source_damage_isoBrittle use source_damage_isoDuctile use source_damage_anisoBrittle use source_damage_anisoDuctile use source_vacancy_phenoplasticity use source_vacancy_irradiation use source_vacancy_thermalfluc use kinematics_cleavage_opening use kinematics_slipplane_opening use kinematics_thermal_expansion use kinematics_vacancy_strain use kinematics_hydrogen_strain implicit none integer(pInt), parameter :: FILEUNIT = 200_pInt integer(pInt) :: & o, & !< counter in output loop p, & !< counter in phase loop s, & !< counter in source loop ins !< instance of plasticity/source 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, knownSource, nonlocalConstitutionPresent nonlocalConstitutionPresent = .false. !-------------------------------------------------------------------------------------------------- ! open material.config 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 !-------------------------------------------------------------------------------------------------- ! parse plasticities from config file 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_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 call plastic_nonlocal_init(FILEUNIT) call plastic_nonlocal_stateInit() endif !-------------------------------------------------------------------------------------------------- ! parse source mechanisms from config file call IO_checkAndRewind(FILEUNIT) if (any(phase_source == SOURCE_thermal_dissipation_ID)) call source_thermal_dissipation_init(FILEUNIT) if (any(phase_source == SOURCE_thermal_externalheat_ID)) call source_thermal_externalheat_init(FILEUNIT) if (any(phase_source == SOURCE_damage_isoBrittle_ID)) call source_damage_isoBrittle_init(FILEUNIT) if (any(phase_source == SOURCE_damage_isoDuctile_ID)) call source_damage_isoDuctile_init(FILEUNIT) if (any(phase_source == SOURCE_damage_anisoBrittle_ID)) call source_damage_anisoBrittle_init(FILEUNIT) if (any(phase_source == SOURCE_damage_anisoDuctile_ID)) call source_damage_anisoDuctile_init(FILEUNIT) if (any(phase_source == SOURCE_vacancy_phenoplasticity_ID)) call source_vacancy_phenoplasticity_init(FILEUNIT) if (any(phase_source == SOURCE_vacancy_irradiation_ID)) call source_vacancy_irradiation_init(FILEUNIT) if (any(phase_source == SOURCE_vacancy_thermalfluc_ID)) call source_vacancy_thermalfluc_init(FILEUNIT) !-------------------------------------------------------------------------------------------------- ! parse kinematic mechanisms from config file call IO_checkAndRewind(FILEUNIT) if (any(phase_kinematics == KINEMATICS_cleavage_opening_ID)) call kinematics_cleavage_opening_init(FILEUNIT) if (any(phase_kinematics == KINEMATICS_slipplane_opening_ID)) call kinematics_slipplane_opening_init(FILEUNIT) if (any(phase_kinematics == KINEMATICS_thermal_expansion_ID)) call kinematics_thermal_expansion_init(FILEUNIT) if (any(phase_kinematics == KINEMATICS_vacancy_strain_ID)) call kinematics_vacancy_strain_init(FILEUNIT) if (any(phase_kinematics == KINEMATICS_hydrogen_strain_ID)) call kinematics_hydrogen_strain_init(FILEUNIT) close(FILEUNIT) write(6,'(/,a)') ' <<<+- constitutive init -+>>>' write(6,'(a15,a)') ' Current time: ',IO_timeStamp() #include "compilation_info.f90" mainProcess: if (worldrank == 0) then !-------------------------------------------------------------------------------------------------- ! write description file for constitutive output call IO_write_jobFile(FILEUNIT,'outputConstitutive') PhaseLoop: do p = 1_pInt,material_Nphase activePhase: if (any(material_phase == p)) then ins = phase_plasticityInstance(p) knownPlasticity = .true. ! assume valid plasticityType: select case(phase_plasticity(p)) case (PLASTICITY_NONE_ID) plasticityType outputName = PLASTICITY_NONE_label thisNoutput => null() thisOutput => null() thisSize => null() case (PLASTICITY_ISOTROPIC_ID) plasticityType outputName = PLASTICITY_ISOTROPIC_label thisNoutput => plastic_isotropic_Noutput thisOutput => plastic_isotropic_output thisSize => plastic_isotropic_sizePostResult case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType outputName = PLASTICITY_PHENOPOWERLAW_label thisNoutput => plastic_phenopowerlaw_Noutput thisOutput => plastic_phenopowerlaw_output thisSize => plastic_phenopowerlaw_sizePostResult case (PLASTICITY_DISLOTWIN_ID) plasticityType outputName = PLASTICITY_DISLOTWIN_label thisNoutput => plastic_dislotwin_Noutput thisOutput => plastic_dislotwin_output thisSize => plastic_dislotwin_sizePostResult case (PLASTICITY_DISLOUCLA_ID) plasticityType outputName = PLASTICITY_DISLOUCLA_label thisNoutput => plastic_disloucla_Noutput thisOutput => plastic_disloucla_output thisSize => plastic_disloucla_sizePostResult case (PLASTICITY_NONLOCAL_ID) plasticityType outputName = PLASTICITY_NONLOCAL_label thisNoutput => plastic_nonlocal_Noutput thisOutput => plastic_nonlocal_output thisSize => plastic_nonlocal_sizePostResult case default plasticityType knownPlasticity = .false. end select plasticityType write(FILEUNIT,'(/,a,/)') '['//trim(phase_name(p))//']' if (knownPlasticity) then write(FILEUNIT,'(a)') '(plasticity)'//char(9)//trim(outputName) if (phase_plasticity(p) /= PLASTICITY_NONE_ID) then OutputPlasticityLoop: do o = 1_pInt,thisNoutput(ins) write(FILEUNIT,'(a,i4)') trim(thisOutput(o,ins))//char(9),thisSize(o,ins) enddo OutputPlasticityLoop endif endif SourceLoop: do s = 1_pInt, phase_Nsources(p) knownSource = .true. ! assume valid sourceType: select case (phase_source(s,p)) case (SOURCE_thermal_dissipation_ID) sourceType ins = source_thermal_dissipation_instance(p) outputName = SOURCE_thermal_dissipation_label thisNoutput => source_thermal_dissipation_Noutput thisOutput => source_thermal_dissipation_output thisSize => source_thermal_dissipation_sizePostResult case (SOURCE_thermal_externalheat_ID) sourceType ins = source_thermal_externalheat_instance(p) outputName = SOURCE_thermal_externalheat_label thisNoutput => source_thermal_externalheat_Noutput thisOutput => source_thermal_externalheat_output thisSize => source_thermal_externalheat_sizePostResult case (SOURCE_damage_isoBrittle_ID) sourceType ins = source_damage_isoBrittle_instance(p) outputName = SOURCE_damage_isoBrittle_label thisNoutput => source_damage_isoBrittle_Noutput thisOutput => source_damage_isoBrittle_output thisSize => source_damage_isoBrittle_sizePostResult case (SOURCE_damage_isoDuctile_ID) sourceType ins = source_damage_isoDuctile_instance(p) outputName = SOURCE_damage_isoDuctile_label thisNoutput => source_damage_isoDuctile_Noutput thisOutput => source_damage_isoDuctile_output thisSize => source_damage_isoDuctile_sizePostResult case (SOURCE_damage_anisoBrittle_ID) sourceType ins = source_damage_anisoBrittle_instance(p) outputName = SOURCE_damage_anisoBrittle_label thisNoutput => source_damage_anisoBrittle_Noutput thisOutput => source_damage_anisoBrittle_output thisSize => source_damage_anisoBrittle_sizePostResult case (SOURCE_damage_anisoDuctile_ID) sourceType ins = source_damage_anisoDuctile_instance(p) outputName = SOURCE_damage_anisoDuctile_label thisNoutput => source_damage_anisoDuctile_Noutput thisOutput => source_damage_anisoDuctile_output thisSize => source_damage_anisoDuctile_sizePostResult case (SOURCE_vacancy_phenoplasticity_ID) sourceType ins = source_vacancy_phenoplasticity_instance(p) outputName = SOURCE_vacancy_phenoplasticity_label thisNoutput => source_vacancy_phenoplasticity_Noutput thisOutput => source_vacancy_phenoplasticity_output thisSize => source_vacancy_phenoplasticity_sizePostResult case (SOURCE_vacancy_irradiation_ID) sourceType ins = source_vacancy_irradiation_instance(p) outputName = SOURCE_vacancy_irradiation_label thisNoutput => source_vacancy_irradiation_Noutput thisOutput => source_vacancy_irradiation_output thisSize => source_vacancy_irradiation_sizePostResult case (SOURCE_vacancy_thermalfluc_ID) sourceType ins = source_vacancy_thermalfluc_instance(p) outputName = SOURCE_vacancy_thermalfluc_label thisNoutput => source_vacancy_thermalfluc_Noutput thisOutput => source_vacancy_thermalfluc_output thisSize => source_vacancy_thermalfluc_sizePostResult case default sourceType knownSource = .false. end select sourceType if (knownSource) then write(FILEUNIT,'(a)') '(source)'//char(9)//trim(outputName) OutputSourceLoop: do o = 1_pInt,thisNoutput(ins) write(FILEUNIT,'(a,i4)') trim(thisOutput(o,ins))//char(9),thisSize(o,ins) enddo OutputSourceLoop endif enddo SourceLoop endif activePhase enddo PhaseLoop close(FILEUNIT) endif mainProcess constitutive_plasticity_maxSizeDotState = 0_pInt constitutive_plasticity_maxSizePostResults = 0_pInt constitutive_source_maxSizeDotState = 0_pInt constitutive_source_maxSizePostResults = 0_pInt PhaseLoop2:do p = 1_pInt,material_Nphase !-------------------------------------------------------------------------------------------------- ! partition and inititalize state plasticState(p)%partionedState0 = plasticState(p)%State0 plasticState(p)%State = plasticState(p)%State0 forall(s = 1_pInt:phase_Nsources(p)) sourceState(p)%p(s)%partionedState0 = sourceState(p)%p(s)%State0 sourceState(p)%p(s)%State = sourceState(p)%p(s)%State0 end forall !-------------------------------------------------------------------------------------------------- ! determine max size of state and output constitutive_plasticity_maxSizeDotState = max(constitutive_plasticity_maxSizeDotState, & plasticState(p)%sizeDotState) constitutive_plasticity_maxSizePostResults = max(constitutive_plasticity_maxSizePostResults, & plasticState(p)%sizePostResults) constitutive_source_maxSizeDotState = max(constitutive_source_maxSizeDotState, & maxval(sourceState(p)%p(:)%sizeDotState)) constitutive_source_maxSizePostResults = max(constitutive_source_maxSizePostResults, & maxval(sourceState(p)%p(:)%sizePostResults)) enddo PhaseLoop2 #ifdef TODO !-------------------------------------------------------------------------------------------------- ! report constitutive_maxSizeState = maxval(constitutive_sizeState) constitutive_plasticity_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_plasticity_maxSizeDotState write(6,'(a32,1x,7(i8,1x))') 'maxSizePostResults: ', constitutive_plasticity_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_DISLOTWIN_ID, & PLASTICITY_DISLOUCLA_ID use plastic_dislotwin, only: & plastic_dislotwin_homogenizedC use lattice, only: & lattice_C66 implicit none real(pReal), dimension(6,6) :: constitutive_homogenizedC integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_DISLOTWIN_ID) plasticityType constitutive_homogenizedC = plastic_dislotwin_homogenizedC(ipc,ip,el) case default plasticityType constitutive_homogenizedC = lattice_C66(1:6,1:6,material_phase (ipc,ip,el)) end select plasticityType end function constitutive_homogenizedC !-------------------------------------------------------------------------------------------------- !> @brief calls microstructure function of the different constitutive models !-------------------------------------------------------------------------------------------------- subroutine constitutive_microstructure(orientations, Fe, Fp, ipc, ip, el) use prec, only: & pReal use material, only: & phase_plasticity, & material_phase, & material_homog, & temperature, & thermalMapping, & PLASTICITY_dislotwin_ID, & PLASTICITY_disloucla_ID, & PLASTICITY_nonlocal_ID use plastic_nonlocal, only: & plastic_nonlocal_microstructure use plastic_dislotwin, only: & plastic_dislotwin_microstructure use plastic_disloucla, only: & plastic_disloucla_microstructure implicit none integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), intent(in), dimension(3,3) :: & Fe, & !< elastic deformation gradient Fp !< plastic deformation gradient integer(pInt) :: & ho, & !< homogenization tme !< thermal member position real(pReal), intent(in), dimension(:,:,:,:) :: & orientations !< crystal orientations as quaternions ho = material_homog(ip,el) tme = thermalMapping(ho)%p(ip,el) plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_DISLOTWIN_ID) plasticityType call plastic_dislotwin_microstructure(temperature(ho)%p(tme),ipc,ip,el) case (PLASTICITY_DISLOUCLA_ID) plasticityType call plastic_disloucla_microstructure(temperature(ho)%p(tme),ipc,ip,el) case (PLASTICITY_NONLOCAL_ID) plasticityType call plastic_nonlocal_microstructure (Fe,Fp,ip,el) end select plasticityType end subroutine constitutive_microstructure !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the velocity gradient !-------------------------------------------------------------------------------------------------- subroutine constitutive_LpAndItsTangent(Lp, dLp_dTstar3333, dLp_dFi3333, Tstar_v, Fi, ipc, ip, el) use prec, only: & pReal use math, only: & math_mul33x33, & math_Mandel6to33, & math_Mandel33to6, & math_Plain99to3333 use material, only: & phase_plasticity, & material_phase, & material_homog, & temperature, & thermalMapping, & PLASTICITY_NONE_ID, & PLASTICITY_ISOTROPIC_ID, & PLASTICITY_PHENOPOWERLAW_ID, & PLASTICITY_DISLOTWIN_ID, & PLASTICITY_DISLOUCLA_ID, & PLASTICITY_NONLOCAL_ID use plastic_isotropic, only: & plastic_isotropic_LpAndItsTangent use plastic_phenopowerlaw, only: & plastic_phenopowerlaw_LpAndItsTangent use plastic_dislotwin, only: & plastic_dislotwin_LpAndItsTangent use plastic_disloucla, only: & plastic_disloucla_LpAndItsTangent use plastic_nonlocal, only: & plastic_nonlocal_LpAndItsTangent implicit none integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), intent(in), dimension(6) :: & Tstar_v !< 2nd Piola-Kirchhoff stress real(pReal), intent(in), dimension(3,3) :: & Fi !< intermediate deformation gradient real(pReal), intent(out), dimension(3,3) :: & Lp !< plastic velocity gradient real(pReal), intent(out), dimension(3,3,3,3) :: & dLp_dTstar3333, & !< derivative of Lp with respect to Tstar (4th-order tensor) dLp_dFi3333 !< derivative of Lp with respect to Fi (4th-order tensor) real(pReal), dimension(6) :: & Mstar_v !< Mandel stress work conjugate with Lp real(pReal), dimension(9,9) :: & dLp_dMstar !< derivative of Lp with respect to Mstar (4th-order tensor) real(pReal), dimension(3,3) :: & temp_33 integer(pInt) :: & ho, & !< homogenization tme !< thermal member position integer(pInt) :: & i, j ho = material_homog(ip,el) tme = thermalMapping(ho)%p(ip,el) Mstar_v = math_Mandel33to6(math_mul33x33(math_mul33x33(transpose(Fi),Fi),math_Mandel6to33(Tstar_v))) plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_NONE_ID) plasticityType 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) case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType call plastic_phenopowerlaw_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) case (PLASTICITY_DISLOTWIN_ID) plasticityType 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) end select plasticityType dLp_dTstar3333 = math_Plain99to3333(dLp_dMstar) temp_33 = math_mul33x33(Fi,math_Mandel6to33(Tstar_v)) forall(i = 1_pInt:3_pInt, j = 1_pInt:3_pInt) & dLp_dFi3333(i,j,1:3,1:3) = math_mul33x33(temp_33,transpose(dLp_dTstar3333(i,j,1:3,1:3))) + & math_mul33x33(math_mul33x33(Fi,dLp_dTstar3333(i,j,1:3,1:3)),math_Mandel6to33(Tstar_v)) temp_33 = math_mul33x33(transpose(Fi),Fi) forall(i = 1_pInt:3_pInt, j = 1_pInt:3_pInt) & dLp_dTstar3333(i,j,1:3,1:3) = math_mul33x33(temp_33,dLp_dTstar3333(i,j,1:3,1:3)) end subroutine constitutive_LpAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the velocity gradient !-------------------------------------------------------------------------------------------------- subroutine constitutive_LiAndItsTangent(Li, dLi_dTstar3333, dLi_dFi3333, Tstar_v, Fi, ipc, ip, el) use prec, only: & pReal use math, only: & math_I3, & math_inv33, & math_det33, & math_mul33x33 use material, only: & phase_plasticity, & material_phase, & phase_kinematics, & phase_Nkinematics, & PLASTICITY_isotropic_ID, & KINEMATICS_cleavage_opening_ID, & KINEMATICS_slipplane_opening_ID, & KINEMATICS_thermal_expansion_ID, & KINEMATICS_vacancy_strain_ID, & KINEMATICS_hydrogen_strain_ID use plastic_isotropic, only: & plastic_isotropic_LiAndItsTangent use kinematics_cleavage_opening, only: & kinematics_cleavage_opening_LiAndItsTangent use kinematics_slipplane_opening, only: & kinematics_slipplane_opening_LiAndItsTangent use kinematics_thermal_expansion, only: & kinematics_thermal_expansion_LiAndItsTangent use kinematics_vacancy_strain, only: & kinematics_vacancy_strain_LiAndItsTangent use kinematics_hydrogen_strain, only: & kinematics_hydrogen_strain_LiAndItsTangent implicit none integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), intent(in), dimension(6) :: & Tstar_v !< 2nd Piola-Kirchhoff stress real(pReal), intent(in), dimension(3,3) :: & Fi !< intermediate deformation gradient real(pReal), intent(out), dimension(3,3) :: & Li !< intermediate velocity gradient real(pReal), intent(out), dimension(3,3,3,3) :: & dLi_dTstar3333, & !< derivative of Li with respect to Tstar (4th-order tensor) dLi_dFi3333 real(pReal), dimension(3,3) :: & my_Li !< intermediate velocity gradient real(pReal), dimension(3,3,3,3) :: & my_dLi_dTstar real(pReal), dimension(3,3) :: & FiInv, & temp_33 real(pReal) :: & detFi integer(pInt) :: & k !< counter in kinematics loop integer(pInt) :: & i, j Li = 0.0_pReal dLi_dTstar3333 = 0.0_pReal dLi_dFi3333 = 0.0_pReal plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_isotropic_ID) plasticityType call plastic_isotropic_LiAndItsTangent(my_Li, my_dLi_dTstar, Tstar_v, ipc, ip, el) case default plasticityType my_Li = 0.0_pReal my_dLi_dTstar = 0.0_pReal end select plasticityType Li = Li + my_Li dLi_dTstar3333 = dLi_dTstar3333 + my_dLi_dTstar KinematicsLoop: do k = 1_pInt, phase_Nkinematics(material_phase(ipc,ip,el)) kinematicsType: select case (phase_kinematics(k,material_phase(ipc,ip,el))) case (KINEMATICS_cleavage_opening_ID) kinematicsType call kinematics_cleavage_opening_LiAndItsTangent(my_Li, my_dLi_dTstar, Tstar_v, ipc, ip, el) case (KINEMATICS_slipplane_opening_ID) kinematicsType call kinematics_slipplane_opening_LiAndItsTangent(my_Li, my_dLi_dTstar, Tstar_v, ipc, ip, el) case (KINEMATICS_thermal_expansion_ID) kinematicsType call kinematics_thermal_expansion_LiAndItsTangent(my_Li, my_dLi_dTstar, ipc, ip, el) case (KINEMATICS_vacancy_strain_ID) kinematicsType call kinematics_vacancy_strain_LiAndItsTangent(my_Li, my_dLi_dTstar, ipc, ip, el) case (KINEMATICS_hydrogen_strain_ID) kinematicsType call kinematics_hydrogen_strain_LiAndItsTangent(my_Li, my_dLi_dTstar, ipc, ip, el) case default kinematicsType my_Li = 0.0_pReal my_dLi_dTstar = 0.0_pReal end select kinematicsType Li = Li + my_Li dLi_dTstar3333 = dLi_dTstar3333 + my_dLi_dTstar enddo KinematicsLoop FiInv = math_inv33(Fi) detFi = math_det33(Fi) Li = math_mul33x33(math_mul33x33(Fi,Li),FiInv)*detFi !< push forward to intermediate configuration temp_33 = math_mul33x33(FiInv,Li) forall(i = 1_pInt:3_pInt, j = 1_pInt:3_pInt) dLi_dTstar3333(1:3,1:3,i,j) = math_mul33x33(math_mul33x33(Fi,dLi_dTstar3333(1:3,1:3,i,j)),FiInv)*detFi dLi_dFi3333 (1:3,1:3,i,j) = dLi_dFi3333(1:3,1:3,i,j) + Li*FiInv(j,i) dLi_dFi3333 (1:3,i,1:3,j) = dLi_dFi3333(1:3,i,1:3,j) + math_I3*temp_33(j,i) + Li*FiInv(j,i) end forall end subroutine constitutive_LiAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief collects initial intermediate deformation gradient !-------------------------------------------------------------------------------------------------- pure function constitutive_initialFi(ipc, ip, el) use prec, only: & pReal use math, only: & math_I3, & math_inv33, & math_mul33x33 use material, only: & phase_kinematics, & phase_Nkinematics, & material_phase, & KINEMATICS_thermal_expansion_ID, & KINEMATICS_vacancy_strain_ID, & KINEMATICS_hydrogen_strain_ID use kinematics_thermal_expansion, only: & kinematics_thermal_expansion_initialStrain use kinematics_vacancy_strain, only: & kinematics_vacancy_strain_initialStrain use kinematics_hydrogen_strain, only: & kinematics_hydrogen_strain_initialStrain implicit none integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), dimension(3,3) :: & constitutive_initialFi !< composite initial intermediate deformation gradient integer(pInt) :: & k !< counter in kinematics loop constitutive_initialFi = math_I3 KinematicsLoop: do k = 1_pInt, phase_Nkinematics(material_phase(ipc,ip,el)) !< Warning: small initial strain assumption kinematicsType: select case (phase_kinematics(k,material_phase(ipc,ip,el))) case (KINEMATICS_thermal_expansion_ID) kinematicsType constitutive_initialFi = & constitutive_initialFi + kinematics_thermal_expansion_initialStrain(ipc, ip, el) case (KINEMATICS_vacancy_strain_ID) kinematicsType constitutive_initialFi = & constitutive_initialFi + kinematics_vacancy_strain_initialStrain(ipc, ip, el) case (KINEMATICS_hydrogen_strain_ID) kinematicsType constitutive_initialFi = & constitutive_initialFi + kinematics_hydrogen_strain_initialStrain(ipc, ip, el) end select kinematicsType enddo KinematicsLoop 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 !-------------------------------------------------------------------------------------------------- subroutine constitutive_TandItsTangent(T, dT_dFe, dT_dFi, Fe, Fi, ipc, ip, el) use prec, only: & pReal implicit none integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), intent(in), dimension(3,3) :: & Fe, & !< elastic deformation gradient Fi !< intermediate 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 dT_dFi !< derivative of 2nd P-K stress with respect to intermediate deformation gradient call constitutive_hooke_TandItsTangent(T, dT_dFe, dT_dFi, Fe, Fi, 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, dT_dFi, Fe, Fi, ipc, ip, el) use prec, only: & pReal use math, only : & math_mul3x3, & math_mul33x33, & math_mul3333xx33, & math_Mandel66to3333, & math_trace33, & math_I3 use material, only: & material_phase, & material_homog, & phase_NstiffnessDegradations, & phase_stiffnessDegradation, & damage, & damageMapping, & porosity, & porosityMapping, & STIFFNESS_DEGRADATION_damage_ID, & STIFFNESS_DEGRADATION_porosity_ID implicit none integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), intent(in), dimension(3,3) :: & Fe, & !< elastic deformation gradient Fi !< intermediate deformation gradient real(pReal), intent(out), dimension(3,3) :: & T !< 2nd Piola-Kirchhoff stress tensor in lattice configuration real(pReal), intent(out), dimension(3,3,3,3) :: & dT_dFe, & !< derivative of 2nd P-K stress with respect to elastic deformation gradient dT_dFi !< derivative of 2nd P-K stress with respect to intermediate deformation gradient real(pReal), dimension(3,3) :: E real(pReal), dimension(3,3,3,3) :: C integer(pInt) :: & ho, & !< homogenization d !< counter in degradation loop integer(pInt) :: & i, j ho = material_homog(ip,el) C = math_Mandel66to3333(constitutive_homogenizedC(ipc,ip,el)) DegradationLoop: do d = 1_pInt, phase_NstiffnessDegradations(material_phase(ipc,ip,el)) degradationType: select case(phase_stiffnessDegradation(d,material_phase(ipc,ip,el))) case (STIFFNESS_DEGRADATION_damage_ID) degradationType C = C * damage(ho)%p(damageMapping(ho)%p(ip,el))**2_pInt case (STIFFNESS_DEGRADATION_porosity_ID) degradationType C = C * porosity(ho)%p(porosityMapping(ho)%p(ip,el))**2_pInt end select degradationType enddo DegradationLoop E = 0.5_pReal*(math_mul33x33(transpose(Fe),Fe)-math_I3) !< Green-Lagrange strain in unloaded configuration T = math_mul3333xx33(C,math_mul33x33(math_mul33x33(transpose(Fi),E),Fi)) !< 2PK stress in lattice configuration in work conjugate with GL strain pulled back to lattice configuration dT_dFe = 0.0_pReal forall (i=1_pInt:3_pInt, j=1_pInt:3_pInt) dT_dFe(i,j,1:3,1:3) = & math_mul33x33(Fe,math_mul33x33(math_mul33x33(Fi,C(i,j,1:3,1:3)),transpose(Fi))) !< dT_ij/dFe_kl = C_ijmn * Fi_lm * Fi_on * Fe_ko dT_dFi(i,j,1:3,1:3) = 2.0_pReal*math_mul33x33(math_mul33x33(E,Fi),C(i,j,1:3,1:3)) !< dT_ij/dFi_kl = C_ijln * E_km * Fe_mn end forall end subroutine constitutive_hooke_TandItsTangent !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the rate of change of microstructure !-------------------------------------------------------------------------------------------------- subroutine constitutive_collectDotState(Tstar_v, 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_source, & phase_Nsources, & material_phase, & material_homog, & temperature, & thermalMapping, & homogenization_maxNgrains, & PLASTICITY_none_ID, & PLASTICITY_isotropic_ID, & PLASTICITY_phenopowerlaw_ID, & PLASTICITY_dislotwin_ID, & PLASTICITY_disloucla_ID, & PLASTICITY_nonlocal_ID, & SOURCE_damage_isoDuctile_ID, & SOURCE_damage_anisoBrittle_ID, & SOURCE_damage_anisoDuctile_ID, & SOURCE_thermal_externalheat_ID use plastic_isotropic, only: & plastic_isotropic_dotState use plastic_phenopowerlaw, only: & plastic_phenopowerlaw_dotState use plastic_dislotwin, only: & plastic_dislotwin_dotState use plastic_disloucla, only: & plastic_disloucla_dotState use plastic_nonlocal, only: & plastic_nonlocal_dotState use source_damage_isoDuctile, only: & source_damage_isoDuctile_dotState use source_damage_anisoBrittle, only: & source_damage_anisoBrittle_dotState use source_damage_anisoDuctile, only: & source_damage_anisoDuctile_dotState use source_thermal_externalheat, only: & source_thermal_externalheat_dotState implicit none integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element 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) integer(pLongInt) :: & tick, tock, & tickrate, & maxticks integer(pInt) :: & ho, & !< homogenization tme, & !< thermal member position s !< counter in source loop if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) & call system_clock(count=tick,count_rate=tickrate,count_max=maxticks) ho = material_homog( ip,el) tme = thermalMapping(ho)%p(ip,el) plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_ISOTROPIC_ID) plasticityType 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_DISLOTWIN_ID) plasticityType call plastic_dislotwin_dotState (Tstar_v,temperature(ho)%p(tme), & ipc,ip,el) case (PLASTICITY_DISLOUCLA_ID) plasticityType call plastic_disloucla_dotState (Tstar_v,temperature(ho)%p(tme), & ipc,ip,el) case (PLASTICITY_NONLOCAL_ID) plasticityType call plastic_nonlocal_dotState (Tstar_v,FeArray,FpArray,temperature(ho)%p(tme), & subdt,subfracArray,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_anisoBrittle_ID) sourceType call source_damage_anisoBrittle_dotState (Tstar_v, ipc, ip, el) case (SOURCE_damage_isoDuctile_ID) sourceType call source_damage_isoDuctile_dotState ( ipc, ip, el) case (SOURCE_damage_anisoDuctile_ID) sourceType call source_damage_anisoDuctile_dotState ( ipc, ip, el) case (SOURCE_thermal_externalheat_ID) sourceType call source_thermal_externalheat_dotState( ipc, ip, el) end select sourceType enddo SourceLoop 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 !> will return false if delta state is not needed/supported by the constitutive model !-------------------------------------------------------------------------------------------------- subroutine constitutive_collectDeltaState(Tstar_v, Fe, 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, & phase_source, & phase_Nsources, & material_phase, & PLASTICITY_NONLOCAL_ID, & SOURCE_damage_isoBrittle_ID, & SOURCE_vacancy_irradiation_ID, & SOURCE_vacancy_thermalfluc_ID use plastic_nonlocal, only: & plastic_nonlocal_deltaState use source_damage_isoBrittle, only: & source_damage_isoBrittle_deltaState use source_vacancy_irradiation, only: & source_vacancy_irradiation_deltaState use source_vacancy_thermalfluc, only: & source_vacancy_thermalfluc_deltaState implicit none integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), intent(in), dimension(6) :: & Tstar_v !< 2nd Piola-Kirchhoff stress real(pReal), intent(in), dimension(3,3) :: & Fe !< elastic deformation gradient integer(pInt) :: & s !< counter in source loop 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) if(phase_plasticity(material_phase(ipc,ip,el)) == PLASTICITY_NONLOCAL_ID) & call plastic_nonlocal_deltaState(Tstar_v,ip,el) 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) case (SOURCE_vacancy_irradiation_ID) sourceType call source_vacancy_irradiation_deltaState(ipc, ip, el) case (SOURCE_vacancy_thermalfluc_ID) sourceType call source_vacancy_thermalfluc_deltaState(ipc, ip, el) end select sourceType enddo SourceLoop 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 subroutine constitutive_collectDeltaState !-------------------------------------------------------------------------------------------------- !> @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, & sourceState, & phase_plasticity, & phase_source, & phase_Nsources, & material_phase, & material_homog, & temperature, & thermalMapping, & homogenization_maxNgrains, & PLASTICITY_NONE_ID, & PLASTICITY_ISOTROPIC_ID, & PLASTICITY_PHENOPOWERLAW_ID, & PLASTICITY_DISLOTWIN_ID, & PLASTICITY_DISLOUCLA_ID, & PLASTICITY_NONLOCAL_ID, & SOURCE_damage_isoBrittle_ID, & SOURCE_damage_isoDuctile_ID, & SOURCE_damage_anisoBrittle_ID, & SOURCE_damage_anisoDuctile_ID use plastic_isotropic, only: & plastic_isotropic_postResults use plastic_phenopowerlaw, only: & plastic_phenopowerlaw_postResults use plastic_dislotwin, only: & plastic_dislotwin_postResults use plastic_disloucla, only: & plastic_disloucla_postResults use plastic_nonlocal, only: & plastic_nonlocal_postResults use source_damage_isoBrittle, only: & source_damage_isoBrittle_postResults use source_damage_isoDuctile, only: & source_damage_isoDuctile_postResults use source_damage_anisoBrittle, only: & source_damage_anisoBrittle_postResults use source_damage_anisoDuctile, only: & source_damage_anisoDuctile_postResults implicit none integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), dimension(plasticState(material_phase(ipc,ip,el))%sizePostResults + & sum(sourceState(material_phase(ipc,ip,el))%p(:)%sizePostResults)) :: & constitutive_postResults 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) integer(pInt) :: & startPos, endPos integer(pInt) :: & ho, & !< homogenization tme, & !< thermal member position s !< counter in source loop constitutive_postResults = 0.0_pReal ho = material_homog( ip,el) tme = thermalMapping(ho)%p(ip,el) startPos = 1_pInt endPos = plasticState(material_phase(ipc,ip,el))%sizePostResults plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_ISOTROPIC_ID) plasticityType constitutive_postResults(startPos:endPos) = plastic_isotropic_postResults(Tstar_v,ipc,ip,el) case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType constitutive_postResults(startPos:endPos) = & plastic_phenopowerlaw_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) case (PLASTICITY_DISLOUCLA_ID) plasticityType constitutive_postResults(startPos:endPos) = & plastic_disloucla_postResults(Tstar_v,temperature(ho)%p(tme),ipc,ip,el) case (PLASTICITY_NONLOCAL_ID) plasticityType constitutive_postResults(startPos:endPos) = & plastic_nonlocal_postResults (Tstar_v,FeArray,ip,el) end select plasticityType SourceLoop: do s = 1_pInt, phase_Nsources(material_phase(ipc,ip,el)) startPos = endPos + 1_pInt endPos = endPos + sourceState(material_phase(ipc,ip,el))%p(s)%sizePostResults sourceType: select case (phase_source(s,material_phase(ipc,ip,el))) case (SOURCE_damage_isoBrittle_ID) sourceType constitutive_postResults(startPos:endPos) = source_damage_isoBrittle_postResults(ipc, ip, el) case (SOURCE_damage_isoDuctile_ID) sourceType constitutive_postResults(startPos:endPos) = source_damage_isoDuctile_postResults(ipc, ip, el) case (SOURCE_damage_anisoBrittle_ID) sourceType constitutive_postResults(startPos:endPos) = source_damage_anisoBrittle_postResults(ipc, ip, el) case (SOURCE_damage_anisoDuctile_ID) sourceType constitutive_postResults(startPos:endPos) = source_damage_anisoDuctile_postResults(ipc, ip, el) end select sourceType enddo SourceLoop end function constitutive_postResults end module constitutive