! Copyright 2011 Max-Planck-Institut für Eisenforschung GmbH ! ! This file is part of DAMASK, ! the Düsseldorf Advanced MAterial Simulation Kit. ! ! DAMASK is free software: you can redistribute it and/or modify ! it under the terms of the GNU General Public License as published by ! the Free Software Foundation, either version 3 of the License, or ! (at your option) any later version. ! ! DAMASK is distributed in the hope that it will be useful, ! but WITHOUT ANY WARRANTY; without even the implied warranty of ! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the ! GNU General Public License for more details. ! ! You should have received a copy of the GNU General Public License ! along with DAMASK. If not, see . ! !############################################################## !* $Id$ !************************************ !* Module: CONSTITUTIVE * !************************************ !* contains: * !* - constitutive equations * !* - parameters definition * !************************************ MODULE constitutive use prec, only: pInt, p_vec use IO, only: IO_write_jobBinaryFile implicit none type(p_vec), dimension(:,:,:), allocatable :: & constitutive_state0, & ! pointer array to microstructure at start of FE inc constitutive_partionedState0, & ! pointer array to microstructure at start of homogenization inc constitutive_subState0, & ! pointer array to microstructure at start of crystallite inc constitutive_state, & ! pointer array to current microstructure (end of converged time step) constitutive_state_backup, & ! pointer array to backed up microstructure (end of converged time step) constitutive_dotState, & ! pointer array to evolution of current microstructure constitutive_previousDotState,& ! pointer array to previous evolution of current microstructure constitutive_previousDotState2,& ! pointer array to 2nd previous evolution of current microstructure constitutive_dotState_backup, & ! pointer array to backed up evolution of current microstructure constitutive_RK4dotState, & ! pointer array to evolution of microstructure defined by classical Runge-Kutta method constitutive_aTolState ! pointer array to absolute state tolerance type(p_vec), dimension(:,:,:,:), allocatable :: & constitutive_RKCK45dotState ! pointer array to evolution of microstructure used by Cash-Karp Runge-Kutta method integer(pInt), dimension(:,:,:), allocatable :: & constitutive_sizeDotState, & ! size of dotState array constitutive_sizeState, & ! size of state array per grain constitutive_sizePostResults ! size of postResults array per grain integer(pInt) :: & constitutive_maxSizeDotState, & constitutive_maxSizeState, & constitutive_maxSizePostResults character (len=*), parameter, public :: constitutive_hooke_label = 'hooke' contains !**************************************** !* - constitutive_init !* - constitutive_homogenizedC !* - constitutive_averageBurgers !* - constitutive_microstructure !* - constitutive_LpAndItsTangent !* - constitutive_TandItsTangent !* - constitutive_hooke_TandItsTangent !* - constitutive_collectDotState !* - constitutive_collectDotTemperature !* - constitutive_postResults !**************************************** !************************************** !* Module initialization * !************************************** subroutine constitutive_init use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment) use debug, only: debug_what, & debug_constitutive, & debug_levelBasic use numerics, only: numerics_integrator use IO, only: IO_error, & IO_open_file, & IO_open_jobFile_stat, & IO_write_jobFile use mesh, only: mesh_maxNips, & mesh_NcpElems, & mesh_element,FE_Nips use material, only: material_phase, & material_Nphase, & material_localFileExt, & material_configFile, & phase_name, & phase_plasticity, & phase_plasticityInstance, & phase_Noutput, & homogenization_Ngrains, & homogenization_maxNgrains use constitutive_j2 use constitutive_phenopowerlaw use constitutive_titanmod use constitutive_dislotwin use constitutive_nonlocal implicit none integer(pInt), parameter :: fileunit = 200_pInt integer(pInt) g, & ! grain number i, & ! integration point number e, & ! element number gMax, & ! maximum number of grains iMax, & ! maximum number of integration points eMax, & ! maximum number of elements p, & s, & myInstance,& myNgrains integer(pInt), dimension(:,:), pointer :: thisSize character(len=64), dimension(:,:), pointer :: thisOutput logical :: knownPlasticity ! --- PARSE PLASTICITIES FROM CONFIG FILE --- if (.not. IO_open_jobFile_stat(fileunit,material_localFileExt)) then ! no local material configuration present... call IO_open_file(fileunit,material_configFile) ! ... open material.config file endif call constitutive_j2_init(fileunit) call constitutive_phenopowerlaw_init(fileunit) call constitutive_titanmod_init(fileunit) call constitutive_dislotwin_init(fileunit) call constitutive_nonlocal_init(fileunit) close(fileunit) ! --- WRITE DESCRIPTION FILE FOR CONSTITUTIVE PHASE OUTPUT --- call IO_write_jobFile(fileunit,'outputConstitutive') do p = 1_pInt,material_Nphase i = phase_plasticityInstance(p) ! which instance of a plasticity is present phase knownPlasticity = .true. ! assume valid select case(phase_plasticity(p)) ! split per constitiution case (constitutive_j2_label) thisOutput => constitutive_j2_output thisSize => constitutive_j2_sizePostResult case (constitutive_phenopowerlaw_label) thisOutput => constitutive_phenopowerlaw_output thisSize => constitutive_phenopowerlaw_sizePostResult case (constitutive_titanmod_label) thisOutput => constitutive_titanmod_output thisSize => constitutive_titanmod_sizePostResult case (constitutive_dislotwin_label) thisOutput => constitutive_dislotwin_output thisSize => constitutive_dislotwin_sizePostResult case (constitutive_nonlocal_label) thisOutput => constitutive_nonlocal_output thisSize => constitutive_nonlocal_sizePostResult case default knownPlasticity = .false. end select write(fileunit,*) write(fileunit,'(a)') '['//trim(phase_name(p))//']' write(fileunit,*) if (knownPlasticity) then write(fileunit,'(a)') '(plasticity)'//char(9)//trim(phase_plasticity(p)) do e = 1_pInt,phase_Noutput(p) write(fileunit,'(a,i4)') trim(thisOutput(e,i))//char(9),thisSize(e,i) enddo endif enddo close(fileunit) ! --- ALLOCATION OF STATES --- gMax = homogenization_maxNgrains iMax = mesh_maxNips eMax = mesh_NcpElems allocate(constitutive_state0(gMax,iMax,eMax)) allocate(constitutive_partionedState0(gMax,iMax,eMax)) allocate(constitutive_subState0(gMax,iMax,eMax)) allocate(constitutive_state(gMax,iMax,eMax)) allocate(constitutive_state_backup(gMax,iMax,eMax)) allocate(constitutive_dotState(gMax,iMax,eMax)) allocate(constitutive_dotState_backup(gMax,iMax,eMax)) allocate(constitutive_aTolState(gMax,iMax,eMax)) allocate(constitutive_sizeDotState(gMax,iMax,eMax)) ; constitutive_sizeDotState = 0_pInt allocate(constitutive_sizeState(gMax,iMax,eMax)) ; constitutive_sizeState = 0_pInt allocate(constitutive_sizePostResults(gMax,iMax,eMax)); constitutive_sizePostResults = 0_pInt if (any(numerics_integrator == 1_pInt)) then allocate(constitutive_previousDotState(gMax,iMax,eMax)) allocate(constitutive_previousDotState2(gMax,iMax,eMax)) endif if (any(numerics_integrator == 4_pInt)) then allocate(constitutive_RK4dotState(gMax,iMax,eMax)) endif if (any(numerics_integrator == 5_pInt)) then allocate(constitutive_RKCK45dotState(6,gMax,iMax,eMax)) endif !$OMP PARALLEL DO PRIVATE(myNgrains,myInstance) do e = 1_pInt,mesh_NcpElems ! loop over elements myNgrains = homogenization_Ngrains(mesh_element(3,e)) do i = 1_pInt,FE_Nips(mesh_element(2,e)) ! loop over IPs do g = 1_pInt,myNgrains ! loop over grains myInstance = phase_plasticityInstance(material_phase(g,i,e)) select case(phase_plasticity(material_phase(g,i,e))) case (constitutive_j2_label) allocate(constitutive_state0(g,i,e)%p(constitutive_j2_sizeState(myInstance))) allocate(constitutive_partionedState0(g,i,e)%p(constitutive_j2_sizeState(myInstance))) allocate(constitutive_subState0(g,i,e)%p(constitutive_j2_sizeState(myInstance))) allocate(constitutive_state(g,i,e)%p(constitutive_j2_sizeState(myInstance))) allocate(constitutive_state_backup(g,i,e)%p(constitutive_j2_sizeState(myInstance))) allocate(constitutive_aTolState(g,i,e)%p(constitutive_j2_sizeState(myInstance))) allocate(constitutive_dotState(g,i,e)%p(constitutive_j2_sizeDotState(myInstance))) allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_j2_sizeDotState(myInstance))) if (any(numerics_integrator == 1_pInt)) then allocate(constitutive_previousDotState(g,i,e)%p(constitutive_j2_sizeDotState(myInstance))) allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_j2_sizeDotState(myInstance))) endif if (any(numerics_integrator == 4_pInt)) then allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_j2_sizeDotState(myInstance))) endif if (any(numerics_integrator == 5_pInt)) then do s = 1_pInt,6_pInt allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_j2_sizeDotState(myInstance))) enddo endif constitutive_state0(g,i,e)%p = constitutive_j2_stateInit(myInstance) constitutive_aTolState(g,i,e)%p = constitutive_j2_aTolState(myInstance) constitutive_sizeState(g,i,e) = constitutive_j2_sizeState(myInstance) constitutive_sizeDotState(g,i,e) = constitutive_j2_sizeDotState(myInstance) constitutive_sizePostResults(g,i,e) = constitutive_j2_sizePostResults(myInstance) case (constitutive_phenopowerlaw_label) allocate(constitutive_state0(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance))) allocate(constitutive_partionedState0(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance))) allocate(constitutive_subState0(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance))) allocate(constitutive_state(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance))) allocate(constitutive_state_backup(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance))) allocate(constitutive_aTolState(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance))) allocate(constitutive_dotState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance))) allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance))) if (any(numerics_integrator == 1_pInt)) then allocate(constitutive_previousDotState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance))) allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance))) endif if (any(numerics_integrator == 4_pInt)) then allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance))) endif if (any(numerics_integrator == 5_pInt)) then do s = 1_pInt,6_pInt allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance))) enddo endif constitutive_state0(g,i,e)%p = constitutive_phenopowerlaw_stateInit(myInstance) constitutive_aTolState(g,i,e)%p = constitutive_phenopowerlaw_aTolState(myInstance) constitutive_sizeState(g,i,e) = constitutive_phenopowerlaw_sizeState(myInstance) constitutive_sizeDotState(g,i,e) = constitutive_phenopowerlaw_sizeDotState(myInstance) constitutive_sizePostResults(g,i,e) = constitutive_phenopowerlaw_sizePostResults(myInstance) case (constitutive_titanmod_label) allocate(constitutive_state0(g,i,e)%p(constitutive_titanmod_sizeState(myInstance))) allocate(constitutive_partionedState0(g,i,e)%p(constitutive_titanmod_sizeState(myInstance))) allocate(constitutive_subState0(g,i,e)%p(constitutive_titanmod_sizeState(myInstance))) allocate(constitutive_state(g,i,e)%p(constitutive_titanmod_sizeState(myInstance))) allocate(constitutive_state_backup(g,i,e)%p(constitutive_titanmod_sizeState(myInstance))) allocate(constitutive_aTolState(g,i,e)%p(constitutive_titanmod_sizeState(myInstance))) allocate(constitutive_dotState(g,i,e)%p(constitutive_titanmod_sizeDotState(myInstance))) allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_titanmod_sizeDotState(myInstance))) if (any(numerics_integrator == 1_pInt)) then allocate(constitutive_previousDotState(g,i,e)%p(constitutive_titanmod_sizeDotState(myInstance))) allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_titanmod_sizeDotState(myInstance))) endif if (any(numerics_integrator == 4_pInt)) then allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_titanmod_sizeDotState(myInstance))) endif if (any(numerics_integrator == 5_pInt)) then do s = 1_pInt,6_pInt allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_titanmod_sizeDotState(myInstance))) enddo endif constitutive_state0(g,i,e)%p = constitutive_titanmod_stateInit(myInstance) constitutive_aTolState(g,i,e)%p = constitutive_titanmod_aTolState(myInstance) constitutive_sizeState(g,i,e) = constitutive_titanmod_sizeState(myInstance) constitutive_sizeDotState(g,i,e) = constitutive_titanmod_sizeDotState(myInstance) constitutive_sizePostResults(g,i,e) = constitutive_titanmod_sizePostResults(myInstance) case (constitutive_dislotwin_label) allocate(constitutive_state0(g,i,e)%p(constitutive_dislotwin_sizeState(myInstance))) allocate(constitutive_partionedState0(g,i,e)%p(constitutive_dislotwin_sizeState(myInstance))) allocate(constitutive_subState0(g,i,e)%p(constitutive_dislotwin_sizeState(myInstance))) allocate(constitutive_state(g,i,e)%p(constitutive_dislotwin_sizeState(myInstance))) allocate(constitutive_state_backup(g,i,e)%p(constitutive_dislotwin_sizeState(myInstance))) allocate(constitutive_aTolState(g,i,e)%p(constitutive_dislotwin_sizeState(myInstance))) allocate(constitutive_dotState(g,i,e)%p(constitutive_dislotwin_sizeDotState(myInstance))) allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_dislotwin_sizeDotState(myInstance))) if (any(numerics_integrator == 1_pInt)) then allocate(constitutive_previousDotState(g,i,e)%p(constitutive_dislotwin_sizeDotState(myInstance))) allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_dislotwin_sizeDotState(myInstance))) endif if (any(numerics_integrator == 4_pInt)) then allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_dislotwin_sizeDotState(myInstance))) endif if (any(numerics_integrator == 5_pInt)) then do s = 1_pInt,6_pInt allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_dislotwin_sizeDotState(myInstance))) enddo endif constitutive_state0(g,i,e)%p = constitutive_dislotwin_stateInit(myInstance) constitutive_aTolState(g,i,e)%p = constitutive_dislotwin_aTolState(myInstance) constitutive_sizeState(g,i,e) = constitutive_dislotwin_sizeState(myInstance) constitutive_sizeDotState(g,i,e) = constitutive_dislotwin_sizeDotState(myInstance) constitutive_sizePostResults(g,i,e) = constitutive_dislotwin_sizePostResults(myInstance) case (constitutive_nonlocal_label) allocate(constitutive_state0(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance))) allocate(constitutive_partionedState0(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance))) allocate(constitutive_subState0(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance))) allocate(constitutive_state(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance))) allocate(constitutive_state_backup(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance))) allocate(constitutive_aTolState(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance))) allocate(constitutive_dotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance))) allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance))) if (any(numerics_integrator == 1_pInt)) then allocate(constitutive_previousDotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance))) allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance))) endif if (any(numerics_integrator == 4_pInt)) then allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance))) endif if (any(numerics_integrator == 5_pInt)) then do s = 1_pInt,6_pInt allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance))) enddo endif constitutive_state0(g,i,e)%p = constitutive_nonlocal_stateInit(myInstance) constitutive_aTolState(g,i,e)%p = constitutive_nonlocal_aTolState(myInstance) constitutive_sizeState(g,i,e) = constitutive_nonlocal_sizeState(myInstance) constitutive_sizeDotState(g,i,e) = constitutive_nonlocal_sizeDotState(myInstance) constitutive_sizePostResults(g,i,e) = constitutive_nonlocal_sizePostResults(myInstance) case default call IO_error(200_pInt,material_phase(g,i,e)) ! unknown plasticity end select constitutive_partionedState0(g,i,e)%p = constitutive_state0(g,i,e)%p constitutive_state(g,i,e)%p = constitutive_state0(g,i,e)%p ! need to be defined for first call of constitutive_microstructure in crystallite_init enddo enddo enddo !$OMP END PARALLEL DO !----- write out state size file---------------- open(777) call IO_write_jobBinaryFile(777,'sizeStateConst', size(constitutive_sizeState)) write (777,rec=1) constitutive_sizeState close(777) !----------------------------------------------- constitutive_maxSizeState = maxval(constitutive_sizeState) constitutive_maxSizeDotState = maxval(constitutive_sizeDotState) constitutive_maxSizePostResults = maxval(constitutive_sizePostResults) !$OMP CRITICAL (write2out) write(6,*) write(6,*) '<<<+- constitutive init -+>>>' write(6,*) '$Id$' #include "compilation_info.f90" if (iand(debug_what(debug_constitutive),debug_levelBasic) /= 0_pInt) then write(6,'(a32,1x,7(i8,1x))') 'constitutive_state0: ', shape(constitutive_state0) write(6,'(a32,1x,7(i8,1x))') 'constitutive_partionedState0: ', shape(constitutive_partionedState0) write(6,'(a32,1x,7(i8,1x))') 'constitutive_subState0: ', shape(constitutive_subState0) write(6,'(a32,1x,7(i8,1x))') 'constitutive_state: ', shape(constitutive_state) write(6,'(a32,1x,7(i8,1x))') 'constitutive_aTolState: ', shape(constitutive_aTolState) write(6,'(a32,1x,7(i8,1x))') 'constitutive_dotState: ', shape(constitutive_dotState) write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizeState: ', shape(constitutive_sizeState) write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizeDotState: ', shape(constitutive_sizeDotState) write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizePostResults: ', shape(constitutive_sizePostResults) write(6,*) write(6,'(a32,1x,7(i8,1x))') 'maxSizeState: ', constitutive_maxSizeState write(6,'(a32,1x,7(i8,1x))') 'maxSizeDotState: ', constitutive_maxSizeDotState write(6,'(a32,1x,7(i8,1x))') 'maxSizePostResults: ', constitutive_maxSizePostResults endif call flush(6) !$OMP END CRITICAL (write2out) endsubroutine function constitutive_homogenizedC(ipc,ip,el) !********************************************************************* !* This function returns the homogenized elacticity matrix * !* INPUT: * !* - state : state variables * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !********************************************************************* use prec, only: pReal use material, only: phase_plasticity,material_phase use constitutive_j2 use constitutive_phenopowerlaw use constitutive_titanmod use constitutive_dislotwin use constitutive_nonlocal implicit none integer(pInt) :: ipc,ip,el real(pReal), dimension(6,6) :: constitutive_homogenizedC select case (phase_plasticity(material_phase(ipc,ip,el))) case (constitutive_j2_label) constitutive_homogenizedC = constitutive_j2_homogenizedC(constitutive_state,ipc,ip,el) case (constitutive_phenopowerlaw_label) constitutive_homogenizedC = constitutive_phenopowerlaw_homogenizedC(constitutive_state,ipc,ip,el) case (constitutive_titanmod_label) constitutive_homogenizedC = constitutive_titanmod_homogenizedC(constitutive_state,ipc,ip,el) case (constitutive_dislotwin_label) constitutive_homogenizedC = constitutive_dislotwin_homogenizedC(constitutive_state,ipc,ip,el) case (constitutive_nonlocal_label) constitutive_homogenizedC = constitutive_nonlocal_homogenizedC(constitutive_state,ipc,ip,el) end select return endfunction function constitutive_averageBurgers(ipc,ip,el) !********************************************************************* !* This function returns the average length of Burgers vector * !* INPUT: * !* - state : state variables * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !********************************************************************* use prec, only: pReal use material, only: phase_plasticity,material_phase use constitutive_j2 use constitutive_phenopowerlaw use constitutive_titanmod use constitutive_dislotwin use constitutive_nonlocal implicit none integer(pInt) :: ipc,ip,el real(pReal) :: constitutive_averageBurgers select case (phase_plasticity(material_phase(ipc,ip,el))) case (constitutive_j2_label) constitutive_averageBurgers = 2.5e-10_pReal !constitutive_j2_averageBurgers(constitutive_state,ipc,ip,el) case (constitutive_phenopowerlaw_label) constitutive_averageBurgers = 2.5e-10_pReal !constitutive_phenopowerlaw_averageBurgers(constitutive_state,ipc,ip,el) case (constitutive_titanmod_label) constitutive_averageBurgers = 2.5e-10_pReal !constitutive_titanmod_averageBurgers(constitutive_state,ipc,ip,el) case (constitutive_dislotwin_label) constitutive_averageBurgers = 2.5e-10_pReal !constitutive_dislotwin_averageBurgers(constitutive_state,ipc,ip,el) case (constitutive_nonlocal_label) constitutive_averageBurgers = 2.5e-10_pReal !constitutive_nonlocal_averageBurgers(constitutive_state,ipc,ip,el) end select return endfunction !********************************************************************* !* This function calculates from state needed variables * !********************************************************************* subroutine constitutive_microstructure(Temperature, Fe, Fp, ipc, ip, el) use prec, only: pReal use material, only: phase_plasticity, & material_phase use constitutive_j2, only: constitutive_j2_label, & constitutive_j2_microstructure use constitutive_phenopowerlaw, only: constitutive_phenopowerlaw_label, & constitutive_phenopowerlaw_microstructure use constitutive_titanmod, only: constitutive_titanmod_label, & constitutive_titanmod_microstructure use constitutive_dislotwin, only: constitutive_dislotwin_label, & constitutive_dislotwin_microstructure use constitutive_nonlocal, only: constitutive_nonlocal_label, & constitutive_nonlocal_microstructure implicit none !*** input variables ***! integer(pInt), intent(in):: ipc, & ! component-ID of current integration point ip, & ! current integration point el ! current element real(pReal), intent(in) :: Temperature real(pReal), dimension(3,3), intent(in) :: Fe, & ! elastic deformation gradient Fp ! plastic deformation gradient !*** output variables ***! !*** local variables ***! select case (phase_plasticity(material_phase(ipc,ip,el))) case (constitutive_j2_label) call constitutive_j2_microstructure(Temperature,constitutive_state,ipc,ip,el) case (constitutive_phenopowerlaw_label) call constitutive_phenopowerlaw_microstructure(Temperature,constitutive_state,ipc,ip,el) case (constitutive_titanmod_label) call constitutive_titanmod_microstructure(Temperature,constitutive_state,ipc,ip,el) case (constitutive_dislotwin_label) call constitutive_dislotwin_microstructure(Temperature,constitutive_state,ipc,ip,el) case (constitutive_nonlocal_label) call constitutive_nonlocal_microstructure(constitutive_state, Temperature, Fe, Fp, ipc, ip, el) end select endsubroutine !********************************************************************* !* This subroutine contains the constitutive equation for * !* calculating the velocity gradient * !********************************************************************* subroutine constitutive_LpAndItsTangent(Lp, dLp_dTstar, Tstar_v, Temperature, ipc, ip, el) use prec, only: pReal use material, only: phase_plasticity, & material_phase use constitutive_j2, only: constitutive_j2_label, & constitutive_j2_LpAndItsTangent use constitutive_phenopowerlaw, only: constitutive_phenopowerlaw_label, & constitutive_phenopowerlaw_LpAndItsTangent use constitutive_titanmod, only: constitutive_titanmod_label, & constitutive_titanmod_LpAndItsTangent use constitutive_dislotwin, only: constitutive_dislotwin_label, & constitutive_dislotwin_LpAndItsTangent use constitutive_nonlocal, only: constitutive_nonlocal_label, & constitutive_nonlocal_LpAndItsTangent implicit none !*** input variables ***! integer(pInt), intent(in):: ipc, & ! component-ID of current integration point ip, & ! current integration point el ! current element real(pReal), intent(in) :: Temperature real(pReal), dimension(6), intent(in) :: Tstar_v ! 2nd Piola-Kirchhoff stress !*** output variables ***! real(pReal), dimension(3,3), intent(out) :: Lp ! plastic velocity gradient real(pReal), dimension(9,9), intent(out) :: dLp_dTstar ! derivative of Lp with respect to Tstar (4th-order tensor) !*** local variables ***! select case (phase_plasticity(material_phase(ipc,ip,el))) case (constitutive_j2_label) call constitutive_j2_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_phenopowerlaw_label) call constitutive_phenopowerlaw_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_titanmod_label) call constitutive_titanmod_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_dislotwin_label) call constitutive_dislotwin_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_nonlocal_label) call constitutive_nonlocal_LpAndItsTangent(Lp, dLp_dTstar, Tstar_v, Temperature, constitutive_state(ipc,ip,el), ipc, ip, el) end select endsubroutine !************************************************************************ !* This subroutine returns the 2nd Piola-Kirchhoff stress tensor and * !* its tangent with respect to the elastic deformation gradient * !* OUTPUT: * !* - T : 2nd Piola-Kirchhoff stress tensor * !* - dT_dFe : derivative of 2nd Piola-Kirchhoff stress tensor * !* with respect to the elastic deformation gradient * !* INPUT: * !* - Fe : elastic deformation gradient * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !************************************************************************ subroutine constitutive_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el) use prec, only: pReal use material, only: phase_elasticity,material_phase implicit none integer(pInt) :: ipc,ip,el real(pReal), dimension(3,3) :: T, Fe real(pReal), dimension(3,3,3,3) :: dT_dFe select case (phase_elasticity(material_phase(ipc,ip,el))) case (constitutive_hooke_label) call constitutive_hooke_TAndItsTangent(T, dT_dFe, Fe, ipc, ip, el) end select return endsubroutine constitutive_TandItsTangent !************************************************************************ !* This subroutine returns the 2nd Piola-Kirchhoff stress tensor and * !* its tangent with respect to the elastic deformation gradient * !* OUTPUT: * !* - T : 2nd Piola-Kirchhoff stress tensor * !* - dT_dFe : derivative of 2nd Piola-Kirchhoff stress tensor * !* with respect to the elastic deformation gradient * !* INPUT: * !* - Fe : elastic deformation gradient * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !************************************************************************ subroutine constitutive_hooke_TandItsTangent(T, dT_dFe, Fe, g, i, e) use prec, only: p_vec use math implicit none !* Definition of variables integer(pInt) g, i, e, p, o real(pReal), dimension(3,3) :: T, Fe real(pReal), dimension(6,6) :: C_66 real(pReal), dimension(3,3,3,3) :: dT_dFe, C !* get elasticity tensor C_66 = constitutive_homogenizedC(g,i,e) C = math_Mandel66to3333(C_66) T = 0.5_pReal*math_mul3333xx33(C,math_mul33x33(math_transpose33(Fe),Fe)-math_I3) do p=1_pInt,3_pInt; do o=1_pInt,3_pInt dT_dFe(o,p,1:3,1:3) = math_mul33x33(C(o,p,1:3,1:3), math_transpose33(Fe)) ! dT*_ij/dFe_kl enddo; enddo end subroutine constitutive_hooke_TandItsTangent !********************************************************************* !* This subroutine contains the constitutive equation for * !* calculating the rate of change of microstructure * !********************************************************************* subroutine constitutive_collectDotState(Tstar_v, Fe, Fp, Temperature, subdt, orientation, ipc, ip, el) use prec, only: pReal, pLongInt use debug, only: debug_cumDotStateCalls, & debug_cumDotStateTicks, & debug_what, & debug_constitutive, & debug_levelBasic use mesh, only: mesh_NcpElems, & mesh_maxNips use material, only: phase_plasticity, & material_phase, & homogenization_maxNgrains use constitutive_j2, only: constitutive_j2_dotState, & constitutive_j2_label use constitutive_phenopowerlaw, only: constitutive_phenopowerlaw_dotState, & constitutive_phenopowerlaw_label use constitutive_titanmod, only: constitutive_titanmod_dotState, & constitutive_titanmod_label use constitutive_dislotwin, only: constitutive_dislotwin_dotState, & constitutive_dislotwin_label use constitutive_nonlocal, only: constitutive_nonlocal_dotState, & constitutive_nonlocal_label implicit none !*** input variables integer(pInt), intent(in) :: ipc, & ! component-ID of current integration point ip, & ! current integration point el ! current element real(pReal), intent(in) :: Temperature, & subdt ! timestep real(pReal), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: & Fe, & ! elastic deformation gradient Fp ! plastic deformation gradient real(pReal), dimension(4,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: & orientation ! crystal orientation (quaternion) real(pReal), dimension(6), intent(in) :: & Tstar_v ! 2nd Piola Kirchhoff stress tensor (Mandel) !*** local variables integer(pLongInt) tick, tock, & tickrate, & maxticks if (iand(debug_what(debug_constitutive), debug_levelBasic) /= 0_pInt) then call system_clock(count=tick,count_rate=tickrate,count_max=maxticks) endif select case (phase_plasticity(material_phase(ipc,ip,el))) case (constitutive_j2_label) constitutive_dotState(ipc,ip,el)%p = constitutive_j2_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_phenopowerlaw_label) constitutive_dotState(ipc,ip,el)%p = constitutive_phenopowerlaw_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_titanmod_label) constitutive_dotState(ipc,ip,el)%p = constitutive_titanmod_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_dislotwin_label) constitutive_dotState(ipc,ip,el)%p = constitutive_dislotwin_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_nonlocal_label) call constitutive_nonlocal_dotState(constitutive_dotState(ipc,ip,el), Tstar_v, Fe, Fp, Temperature, constitutive_state, & subdt, orientation, ipc, ip, el) end select if (iand(debug_what(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 endsubroutine !********************************************************************* !* This subroutine contains the constitutive equation for * !* calculating the rate of change of microstructure * !********************************************************************* function constitutive_dotTemperature(Tstar_v,Temperature,ipc,ip,el) use prec, only: pReal, pLongInt use debug, only: debug_cumDotTemperatureCalls, & debug_cumDotTemperatureTicks, & debug_what, & debug_constitutive, & debug_levelBasic use material, only: phase_plasticity, & material_phase use constitutive_j2, only: constitutive_j2_dotTemperature, & constitutive_j2_label use constitutive_phenopowerlaw, only: constitutive_phenopowerlaw_dotTemperature, & constitutive_phenopowerlaw_label use constitutive_titanmod, only: constitutive_titanmod_dotTemperature, & constitutive_titanmod_label use constitutive_dislotwin, only: constitutive_dislotwin_dotTemperature, & constitutive_dislotwin_label use constitutive_nonlocal, only: constitutive_nonlocal_dotTemperature, & constitutive_nonlocal_label implicit none !*** input variables integer(pInt), intent(in) :: ipc, & ! component-ID of current integration point ip, & ! current integration point el ! current element real(pReal), intent(in) :: Temperature real(pReal), dimension(6), intent(in) :: & Tstar_v ! 2nd Piola Kirchhoff stress tensor (Mandel) !*** output variables ***! real(pReal) constitutive_dotTemperature ! evolution of temperature !*** local variables integer(pLongInt) tick, tock, & tickrate, & maxticks if (iand(debug_what(debug_constitutive),debug_levelBasic) /= 0_pInt) then call system_clock(count=tick,count_rate=tickrate,count_max=maxticks) endif select case (phase_plasticity(material_phase(ipc,ip,el))) case (constitutive_j2_label) constitutive_dotTemperature = constitutive_j2_dotTemperature(Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_phenopowerlaw_label) constitutive_dotTemperature = constitutive_phenopowerlaw_dotTemperature(Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_titanmod_label) constitutive_dotTemperature = constitutive_titanmod_dotTemperature(Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_dislotwin_label) constitutive_dotTemperature = constitutive_dislotwin_dotTemperature(Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_nonlocal_label) constitutive_dotTemperature = constitutive_nonlocal_dotTemperature(Tstar_v,Temperature,constitutive_state,ipc,ip,el) end select if (iand(debug_what(debug_constitutive),debug_levelBasic) /= 0_pInt) then call system_clock(count=tock,count_rate=tickrate,count_max=maxticks) !$OMP CRITICAL (debugTimingDotTemperature) debug_cumDotTemperatureCalls = debug_cumDotTemperatureCalls + 1_pInt debug_cumDotTemperatureTicks = debug_cumDotTemperatureTicks + tock-tick !$OMP FLUSH (debug_cumDotTemperatureTicks) if (tock < tick) debug_cumDotTemperatureTicks = debug_cumDotTemperatureTicks + maxticks !$OMP END CRITICAL (debugTimingDotTemperature) endif endfunction function constitutive_postResults(Tstar_v, Fe, Temperature, dt, ipc, ip, el) !********************************************************************* !* return array of constitutive results * !* INPUT: * !* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - dt : current time increment * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !********************************************************************* use prec, only: pReal use mesh, only: mesh_NcpElems, & mesh_maxNips use material, only: phase_plasticity, & material_phase, & homogenization_maxNgrains use constitutive_j2, only: constitutive_j2_postResults, & constitutive_j2_label use constitutive_phenopowerlaw, only: constitutive_phenopowerlaw_postResults, & constitutive_phenopowerlaw_label use constitutive_titanmod, only: constitutive_titanmod_postResults, & constitutive_titanmod_label use constitutive_dislotwin, only: constitutive_dislotwin_postResults, & constitutive_dislotwin_label use constitutive_nonlocal, only: constitutive_nonlocal_postResults, & constitutive_nonlocal_label implicit none !*** input variables integer(pInt), intent(in) :: ipc, & ! component-ID of current integration point ip, & ! current integration point el ! current element real(pReal), intent(in) :: Temperature, & dt ! timestep real(pReal), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: & Fe ! elastic deformation gradient real(pReal), dimension(6), intent(in) :: & Tstar_v ! 2nd Piola Kirchhoff stress tensor (Mandel) !*** output variables ***! real(pReal), dimension(constitutive_sizePostResults(ipc,ip,el)) :: constitutive_postResults !*** local variables constitutive_postResults = 0.0_pReal select case (phase_plasticity(material_phase(ipc,ip,el))) case (constitutive_j2_label) constitutive_postResults = constitutive_j2_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el) case (constitutive_phenopowerlaw_label) constitutive_postResults = constitutive_phenopowerlaw_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el) case (constitutive_titanmod_label) constitutive_postResults = constitutive_titanmod_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el) case (constitutive_dislotwin_label) constitutive_postResults = constitutive_dislotwin_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el) case (constitutive_nonlocal_label) constitutive_postResults = constitutive_nonlocal_postResults(Tstar_v, Fe, Temperature, dt, constitutive_state, & constitutive_dotstate(ipc,ip,el), ipc, ip, el) end select endfunction END MODULE