1107 lines
52 KiB
Fortran
1107 lines
52 KiB
Fortran
!--------------------------------------------------------------------------------------------------
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!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief elasticity, plasticity, internal microstructure state
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!--------------------------------------------------------------------------------------------------
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module constitutive
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use prec, only: &
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pInt
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implicit none
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private
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integer(pInt), public, protected :: &
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constitutive_plasticity_maxSizePostResults, &
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constitutive_plasticity_maxSizeDotState, &
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constitutive_source_maxSizePostResults, &
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constitutive_source_maxSizeDotState
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public :: &
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constitutive_init, &
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constitutive_homogenizedC, &
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constitutive_microstructure, &
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constitutive_LpAndItsTangent, &
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constitutive_LiAndItsTangent, &
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constitutive_initialFi, &
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constitutive_TandItsTangent, &
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constitutive_collectDotState, &
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constitutive_collectDeltaState, &
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constitutive_postResults
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private :: &
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constitutive_hooke_TandItsTangent
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief allocates arrays pointing to array of the various constitutive modules
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!--------------------------------------------------------------------------------------------------
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subroutine constitutive_init()
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#if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800
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use, intrinsic :: iso_fortran_env, only: &
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compiler_version, &
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compiler_options
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#endif
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use prec, only: &
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pReal
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use debug, only: &
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debug_constitutive, &
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debug_levelBasic
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use numerics, only: &
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worldrank
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use IO, only: &
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IO_error, &
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IO_open_file, &
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IO_checkAndRewind, &
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IO_open_jobFile_stat, &
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IO_write_jobFile, &
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IO_write_jobIntFile, &
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IO_timeStamp
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use config, only: &
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config_deallocate
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use mesh, only: &
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FE_geomtype
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use config, only: &
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material_Nphase, &
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material_localFileExt, &
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phase_name, &
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material_configFile
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use material, only: &
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material_phase, &
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phase_plasticity, &
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phase_plasticityInstance, &
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phase_Nsources, &
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phase_source, &
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phase_kinematics, &
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ELASTICITY_hooke_ID, &
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PLASTICITY_none_ID, &
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PLASTICITY_isotropic_ID, &
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PLASTICITY_phenopowerlaw_ID, &
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PLASTICITY_kinehardening_ID, &
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PLASTICITY_dislotwin_ID, &
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PLASTICITY_disloucla_ID, &
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PLASTICITY_nonlocal_ID ,&
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SOURCE_thermal_dissipation_ID, &
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SOURCE_thermal_externalheat_ID, &
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SOURCE_damage_isoBrittle_ID, &
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SOURCE_damage_isoDuctile_ID, &
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SOURCE_damage_anisoBrittle_ID, &
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SOURCE_damage_anisoDuctile_ID, &
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SOURCE_vacancy_phenoplasticity_ID, &
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SOURCE_vacancy_irradiation_ID, &
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SOURCE_vacancy_thermalfluc_ID, &
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KINEMATICS_cleavage_opening_ID, &
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KINEMATICS_slipplane_opening_ID, &
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KINEMATICS_thermal_expansion_ID, &
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KINEMATICS_vacancy_strain_ID, &
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KINEMATICS_hydrogen_strain_ID, &
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ELASTICITY_HOOKE_label, &
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PLASTICITY_NONE_label, &
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PLASTICITY_ISOTROPIC_label, &
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PLASTICITY_PHENOPOWERLAW_label, &
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PLASTICITY_KINEHARDENING_label, &
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PLASTICITY_DISLOTWIN_label, &
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PLASTICITY_DISLOUCLA_label, &
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PLASTICITY_NONLOCAL_label, &
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SOURCE_thermal_dissipation_label, &
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SOURCE_thermal_externalheat_label, &
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SOURCE_damage_isoBrittle_label, &
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SOURCE_damage_isoDuctile_label, &
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SOURCE_damage_anisoBrittle_label, &
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SOURCE_damage_anisoDuctile_label, &
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SOURCE_vacancy_phenoplasticity_label, &
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SOURCE_vacancy_irradiation_label, &
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SOURCE_vacancy_thermalfluc_label, &
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plasticState, &
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sourceState
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use plastic_none
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use plastic_isotropic
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use plastic_phenopowerlaw
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use plastic_kinehardening
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use plastic_dislotwin
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use plastic_disloucla
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use plastic_nonlocal
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use source_thermal_dissipation
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use source_thermal_externalheat
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use source_damage_isoBrittle
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use source_damage_isoDuctile
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use source_damage_anisoBrittle
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use source_damage_anisoDuctile
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use source_vacancy_phenoplasticity
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use source_vacancy_irradiation
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use source_vacancy_thermalfluc
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use kinematics_cleavage_opening
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use kinematics_slipplane_opening
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use kinematics_thermal_expansion
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use kinematics_vacancy_strain
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use kinematics_hydrogen_strain
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implicit none
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integer(pInt), parameter :: FILEUNIT = 200_pInt
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integer(pInt) :: &
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o, & !< counter in output loop
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ph, & !< counter in phase loop
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s, & !< counter in source loop
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ins !< instance of plasticity/source
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integer(pInt), dimension(:,:), pointer :: thisSize
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character(len=64), dimension(:,:), pointer :: thisOutput
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character(len=32) :: outputName !< name of output, intermediate fix until HDF5 output is ready
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logical :: knownPlasticity, knownSource, nonlocalConstitutionPresent
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nonlocalConstitutionPresent = .false.
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!--------------------------------------------------------------------------------------------------
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! open material.config
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if (.not. IO_open_jobFile_stat(FILEUNIT,material_localFileExt)) & ! no local material configuration present...
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call IO_open_file(FILEUNIT,material_configFile) ! ... open material.config file
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!--------------------------------------------------------------------------------------------------
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! parse plasticities from config file
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if (any(phase_plasticity == PLASTICITY_NONE_ID)) call plastic_none_init
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if (any(phase_plasticity == PLASTICITY_ISOTROPIC_ID)) call plastic_isotropic_init
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if (any(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID)) call plastic_phenopowerlaw_init(FILEUNIT)
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if (any(phase_plasticity == PLASTICITY_KINEHARDENING_ID)) call plastic_kinehardening_init(FILEUNIT)
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if (any(phase_plasticity == PLASTICITY_DISLOTWIN_ID)) call plastic_dislotwin_init(FILEUNIT)
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if (any(phase_plasticity == PLASTICITY_DISLOUCLA_ID)) call plastic_disloucla_init(FILEUNIT)
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if (any(phase_plasticity == PLASTICITY_NONLOCAL_ID)) then
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call plastic_nonlocal_init(FILEUNIT)
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call plastic_nonlocal_stateInit()
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endif
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!--------------------------------------------------------------------------------------------------
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! parse source mechanisms from config file
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call IO_checkAndRewind(FILEUNIT)
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if (any(phase_source == SOURCE_thermal_dissipation_ID)) call source_thermal_dissipation_init(FILEUNIT)
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if (any(phase_source == SOURCE_thermal_externalheat_ID)) call source_thermal_externalheat_init(FILEUNIT)
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if (any(phase_source == SOURCE_damage_isoBrittle_ID)) call source_damage_isoBrittle_init(FILEUNIT)
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if (any(phase_source == SOURCE_damage_isoDuctile_ID)) call source_damage_isoDuctile_init(FILEUNIT)
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if (any(phase_source == SOURCE_damage_anisoBrittle_ID)) call source_damage_anisoBrittle_init(FILEUNIT)
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if (any(phase_source == SOURCE_damage_anisoDuctile_ID)) call source_damage_anisoDuctile_init(FILEUNIT)
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if (any(phase_source == SOURCE_vacancy_phenoplasticity_ID)) call source_vacancy_phenoplasticity_init(FILEUNIT)
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if (any(phase_source == SOURCE_vacancy_irradiation_ID)) call source_vacancy_irradiation_init(FILEUNIT)
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if (any(phase_source == SOURCE_vacancy_thermalfluc_ID)) call source_vacancy_thermalfluc_init(FILEUNIT)
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!--------------------------------------------------------------------------------------------------
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! parse kinematic mechanisms from config file
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call IO_checkAndRewind(FILEUNIT)
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if (any(phase_kinematics == KINEMATICS_cleavage_opening_ID)) call kinematics_cleavage_opening_init(FILEUNIT)
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if (any(phase_kinematics == KINEMATICS_slipplane_opening_ID)) call kinematics_slipplane_opening_init(FILEUNIT)
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if (any(phase_kinematics == KINEMATICS_thermal_expansion_ID)) call kinematics_thermal_expansion_init(FILEUNIT)
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if (any(phase_kinematics == KINEMATICS_vacancy_strain_ID)) call kinematics_vacancy_strain_init(FILEUNIT)
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if (any(phase_kinematics == KINEMATICS_hydrogen_strain_ID)) call kinematics_hydrogen_strain_init(FILEUNIT)
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close(FILEUNIT)
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call config_deallocate('material.config/phase')
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write(6,'(/,a)') ' <<<+- constitutive init -+>>>'
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write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
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#include "compilation_info.f90"
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mainProcess: if (worldrank == 0) then
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!--------------------------------------------------------------------------------------------------
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! write description file for constitutive output
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call IO_write_jobFile(FILEUNIT,'outputConstitutive')
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PhaseLoop: do ph = 1_pInt,material_Nphase
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activePhase: if (any(material_phase == ph)) then
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ins = phase_plasticityInstance(ph)
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knownPlasticity = .true. ! assume valid
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plasticityType: select case(phase_plasticity(ph))
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case (PLASTICITY_NONE_ID) plasticityType
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outputName = PLASTICITY_NONE_label
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thisOutput => null()
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thisSize => null()
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case (PLASTICITY_ISOTROPIC_ID) plasticityType
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outputName = PLASTICITY_ISOTROPIC_label
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thisOutput => plastic_isotropic_output
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thisSize => plastic_isotropic_sizePostResult
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case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType
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outputName = PLASTICITY_PHENOPOWERLAW_label
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thisOutput => plastic_phenopowerlaw_output
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thisSize => plastic_phenopowerlaw_sizePostResult
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case (PLASTICITY_KINEHARDENING_ID) plasticityType
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outputName = PLASTICITY_KINEHARDENING_label
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thisOutput => plastic_kinehardening_output
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thisSize => plastic_kinehardening_sizePostResult
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case (PLASTICITY_DISLOTWIN_ID) plasticityType
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outputName = PLASTICITY_DISLOTWIN_label
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thisOutput => plastic_dislotwin_output
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thisSize => plastic_dislotwin_sizePostResult
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case (PLASTICITY_DISLOUCLA_ID) plasticityType
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outputName = PLASTICITY_DISLOUCLA_label
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thisOutput => plastic_disloucla_output
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thisSize => plastic_disloucla_sizePostResult
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case (PLASTICITY_NONLOCAL_ID) plasticityType
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outputName = PLASTICITY_NONLOCAL_label
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thisOutput => plastic_nonlocal_output
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thisSize => plastic_nonlocal_sizePostResult
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case default plasticityType
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knownPlasticity = .false.
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end select plasticityType
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write(FILEUNIT,'(/,a,/)') '['//trim(phase_name(ph))//']'
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if (knownPlasticity) then
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write(FILEUNIT,'(a)') '(plasticity)'//char(9)//trim(outputName)
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if (phase_plasticity(ph) /= PLASTICITY_NONE_ID) then
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OutputPlasticityLoop: do o = 1_pInt,size(thisOutput(:,ins))
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if(len(trim(thisOutput(o,ins))) > 0_pInt) &
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write(FILEUNIT,'(a,i4)') trim(thisOutput(o,ins))//char(9),thisSize(o,ins)
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enddo OutputPlasticityLoop
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endif
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endif
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SourceLoop: do s = 1_pInt, phase_Nsources(ph)
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knownSource = .true. ! assume valid
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sourceType: select case (phase_source(s,ph))
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case (SOURCE_thermal_dissipation_ID) sourceType
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ins = source_thermal_dissipation_instance(ph)
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outputName = SOURCE_thermal_dissipation_label
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thisOutput => source_thermal_dissipation_output
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thisSize => source_thermal_dissipation_sizePostResult
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case (SOURCE_thermal_externalheat_ID) sourceType
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ins = source_thermal_externalheat_instance(ph)
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outputName = SOURCE_thermal_externalheat_label
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thisOutput => source_thermal_externalheat_output
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thisSize => source_thermal_externalheat_sizePostResult
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case (SOURCE_damage_isoBrittle_ID) sourceType
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ins = source_damage_isoBrittle_instance(ph)
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outputName = SOURCE_damage_isoBrittle_label
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thisOutput => source_damage_isoBrittle_output
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thisSize => source_damage_isoBrittle_sizePostResult
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case (SOURCE_damage_isoDuctile_ID) sourceType
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ins = source_damage_isoDuctile_instance(ph)
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outputName = SOURCE_damage_isoDuctile_label
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thisOutput => source_damage_isoDuctile_output
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thisSize => source_damage_isoDuctile_sizePostResult
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case (SOURCE_damage_anisoBrittle_ID) sourceType
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ins = source_damage_anisoBrittle_instance(ph)
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outputName = SOURCE_damage_anisoBrittle_label
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thisOutput => source_damage_anisoBrittle_output
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thisSize => source_damage_anisoBrittle_sizePostResult
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case (SOURCE_damage_anisoDuctile_ID) sourceType
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ins = source_damage_anisoDuctile_instance(ph)
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outputName = SOURCE_damage_anisoDuctile_label
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thisOutput => source_damage_anisoDuctile_output
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thisSize => source_damage_anisoDuctile_sizePostResult
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case (SOURCE_vacancy_phenoplasticity_ID) sourceType
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ins = source_vacancy_phenoplasticity_instance(ph)
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outputName = SOURCE_vacancy_phenoplasticity_label
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thisOutput => source_vacancy_phenoplasticity_output
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thisSize => source_vacancy_phenoplasticity_sizePostResult
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case (SOURCE_vacancy_irradiation_ID) sourceType
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ins = source_vacancy_irradiation_instance(ph)
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outputName = SOURCE_vacancy_irradiation_label
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thisOutput => source_vacancy_irradiation_output
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thisSize => source_vacancy_irradiation_sizePostResult
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case (SOURCE_vacancy_thermalfluc_ID) sourceType
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ins = source_vacancy_thermalfluc_instance(ph)
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outputName = SOURCE_vacancy_thermalfluc_label
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thisOutput => source_vacancy_thermalfluc_output
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thisSize => source_vacancy_thermalfluc_sizePostResult
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case default sourceType
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knownSource = .false.
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end select sourceType
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if (knownSource) then
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write(FILEUNIT,'(a)') '(source)'//char(9)//trim(outputName)
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OutputSourceLoop: do o = 1_pInt,size(thisOutput(:,ins))
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if(len(trim(thisOutput(o,ins))) > 0_pInt) &
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write(FILEUNIT,'(a,i4)') trim(thisOutput(o,ins))//char(9),thisSize(o,ins)
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enddo OutputSourceLoop
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endif
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enddo SourceLoop
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endif activePhase
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enddo PhaseLoop
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close(FILEUNIT)
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endif mainProcess
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constitutive_plasticity_maxSizeDotState = 0_pInt
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constitutive_plasticity_maxSizePostResults = 0_pInt
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constitutive_source_maxSizeDotState = 0_pInt
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constitutive_source_maxSizePostResults = 0_pInt
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PhaseLoop2:do ph = 1_pInt,material_Nphase
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!--------------------------------------------------------------------------------------------------
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! partition and inititalize state
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plasticState(ph)%partionedState0 = plasticState(ph)%state0
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plasticState(ph)%state = plasticState(ph)%partionedState0
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forall(s = 1_pInt:phase_Nsources(ph))
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sourceState(ph)%p(s)%partionedState0 = sourceState(ph)%p(s)%state0
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sourceState(ph)%p(s)%state = sourceState(ph)%p(s)%partionedState0
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end forall
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!--------------------------------------------------------------------------------------------------
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! determine max size of state and output
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constitutive_plasticity_maxSizeDotState = max(constitutive_plasticity_maxSizeDotState, &
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plasticState(ph)%sizeDotState)
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constitutive_plasticity_maxSizePostResults = max(constitutive_plasticity_maxSizePostResults, &
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plasticState(ph)%sizePostResults)
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constitutive_source_maxSizeDotState = max(constitutive_source_maxSizeDotState, &
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maxval(sourceState(ph)%p(:)%sizeDotState))
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constitutive_source_maxSizePostResults = max(constitutive_source_maxSizePostResults, &
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maxval(sourceState(ph)%p(:)%sizePostResults))
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enddo PhaseLoop2
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end subroutine constitutive_init
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!--------------------------------------------------------------------------------------------------
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!> @brief returns the homogenize elasticity matrix
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!--------------------------------------------------------------------------------------------------
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function constitutive_homogenizedC(ipc,ip,el)
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use prec, only: &
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pReal
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use material, only: &
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phase_plasticity, &
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material_phase, &
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PLASTICITY_DISLOTWIN_ID, &
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PLASTICITY_DISLOUCLA_ID
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use plastic_dislotwin, only: &
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plastic_dislotwin_homogenizedC
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use lattice, only: &
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lattice_C66
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implicit none
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real(pReal), dimension(6,6) :: constitutive_homogenizedC
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integer(pInt), intent(in) :: &
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ipc, & !< component-ID of integration point
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ip, & !< integration point
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el !< element
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plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el)))
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case (PLASTICITY_DISLOTWIN_ID) plasticityType
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constitutive_homogenizedC = plastic_dislotwin_homogenizedC(ipc,ip,el)
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case default plasticityType
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constitutive_homogenizedC = lattice_C66(1:6,1:6,material_phase (ipc,ip,el))
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end select plasticityType
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end function constitutive_homogenizedC
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!--------------------------------------------------------------------------------------------------
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!> @brief calls microstructure function of the different constitutive models
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!--------------------------------------------------------------------------------------------------
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subroutine constitutive_microstructure(orientations, Fe, Fp, ipc, ip, el)
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use prec, only: &
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pReal
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use material, only: &
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phase_plasticity, &
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material_phase, &
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material_homog, &
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temperature, &
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thermalMapping, &
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PLASTICITY_dislotwin_ID, &
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PLASTICITY_disloucla_ID, &
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PLASTICITY_nonlocal_ID
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use plastic_nonlocal, only: &
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plastic_nonlocal_microstructure
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use plastic_dislotwin, only: &
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plastic_dislotwin_microstructure
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use plastic_disloucla, only: &
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plastic_disloucla_microstructure
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implicit none
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integer(pInt), intent(in) :: &
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ipc, & !< component-ID of integration point
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ip, & !< integration point
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el !< element
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real(pReal), intent(in), dimension(3,3) :: &
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Fe, & !< elastic deformation gradient
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Fp !< plastic deformation gradient
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integer(pInt) :: &
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ho, & !< homogenization
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tme !< thermal member position
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real(pReal), intent(in), dimension(:,:,:,:) :: &
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orientations !< crystal orientations as quaternions
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ho = material_homog(ip,el)
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tme = thermalMapping(ho)%p(ip,el)
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plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el)))
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case (PLASTICITY_DISLOTWIN_ID) plasticityType
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call plastic_dislotwin_microstructure(temperature(ho)%p(tme),ipc,ip,el)
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case (PLASTICITY_DISLOUCLA_ID) plasticityType
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call plastic_disloucla_microstructure(temperature(ho)%p(tme),ipc,ip,el)
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case (PLASTICITY_NONLOCAL_ID) plasticityType
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call plastic_nonlocal_microstructure (Fe,Fp,ip,el)
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end select plasticityType
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end subroutine constitutive_microstructure
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!--------------------------------------------------------------------------------------------------
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|
!> @brief contains the constitutive equation for calculating the velocity gradient
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine constitutive_LpAndItsTangent(Lp, dLp_dTstar3333, dLp_dFi3333, Tstar_v, Fi, ipc, ip, el)
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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_KINEHARDENING_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_kinehardening, only: &
|
|
plastic_kinehardening_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) :: &
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|
ipc, & !< component-ID of integration point
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ip, & !< integration point
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el !< element
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real(pReal), intent(in), dimension(6) :: &
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|
Tstar_v !< 2nd Piola-Kirchhoff stress
|
|
real(pReal), intent(in), dimension(3,3) :: &
|
|
Fi !< intermediate deformation gradient
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|
real(pReal), intent(out), dimension(3,3) :: &
|
|
Lp !< plastic velocity gradient
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real(pReal), intent(out), dimension(3,3,3,3) :: &
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|
dLp_dTstar3333, & !< derivative of Lp with respect to Tstar (4th-order tensor)
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dLp_dFi3333 !< derivative of Lp with respect to Fi (4th-order tensor)
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real(pReal), dimension(6) :: &
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Mstar_v !< Mandel stress work conjugate with Lp
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real(pReal), dimension(9,9) :: &
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|
dLp_dMstar !< derivative of Lp with respect to Mstar (4th-order tensor)
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|
real(pReal), dimension(3,3) :: &
|
|
temp_33
|
|
integer(pInt) :: &
|
|
ho, & !< homogenization
|
|
tme !< thermal member position
|
|
integer(pInt) :: &
|
|
i, j
|
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|
|
ho = material_homog(ip,el)
|
|
tme = thermalMapping(ho)%p(ip,el)
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|
|
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Mstar_v = math_Mandel33to6(math_mul33x33(math_mul33x33(transpose(Fi),Fi),math_Mandel6to33(Tstar_v)))
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|
|
|
plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
case (PLASTICITY_NONE_ID) plasticityType
|
|
Lp = 0.0_pReal
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|
dLp_dMstar = 0.0_pReal
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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_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)
|
|
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
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|
|
|
dLp_dTstar3333 = math_Plain99to3333(dLp_dMstar)
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|
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)
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|
|
|
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))
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|
|
|
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_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_kinehardening_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_kinehardening, only: &
|
|
plastic_kinehardening_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 = 0_pLongInt, &
|
|
tock = 0_pLongInt, &
|
|
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_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)
|
|
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
|
|
|
|
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_level, &
|
|
debug_constitutive, &
|
|
debug_levelBasic
|
|
use material, only: &
|
|
phase_plasticity, &
|
|
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: &
|
|
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)
|
|
|
|
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)
|
|
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
|
|
|
|
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_KINEHARDENING_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_kinehardening, only: &
|
|
plastic_kinehardening_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_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)
|
|
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
|