!* $Id$ !************************************ !* Module: CONSTITUTIVE * !************************************ !* contains: * !* - constitutive equations * !* - parameters definition * !************************************ MODULE constitutive !*** Include other modules *** use prec 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_dotState, & ! pointer array to evolution of current microstructure constitutive_relevantState ! relevant state values 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 CONTAINS !**************************************** !* - constitutive_init !* - constitutive_homogenizedC !* - constitutive_microstructure !* - constitutive_LpAndItsTangent !* - constitutive_collectDotState !* - constitutive_collectDotTemperature !* - constitutive_postResults !**************************************** subroutine constitutive_init() !************************************** !* Module initialization * !************************************** use prec, only: pReal,pInt use debug, only: debugger use IO, only: IO_error, IO_open_file, IO_open_jobFile use mesh, only: mesh_maxNips,mesh_NcpElems,mesh_element,FE_Nips use material use constitutive_j2 use constitutive_phenopowerlaw use constitutive_dislobased use constitutive_nonlocal integer(pInt), parameter :: fileunit = 200 integer(pInt) e,i,g,p,myInstance,myNgrains integer(pInt), dimension(:,:), pointer :: thisSize character(64), dimension(:,:), pointer :: thisOutput logical knownConstitution if(.not. IO_open_file(fileunit,material_configFile)) call IO_error (100) ! corrupt config file call constitutive_j2_init(fileunit) ! parse all phases of this constitution call constitutive_phenopowerlaw_init(fileunit) call constitutive_dislobased_init(fileunit) call constitutive_nonlocal_init(fileunit) close(fileunit) ! write description file for constitutive phase output if(.not. IO_open_jobFile(fileunit,'outputConstitutive')) call IO_error (50) ! problems in writing file do p = 1,material_Nphase i = phase_constitutionInstance(p) ! which instance of a constitution is present phase knownConstitution = .true. ! assume valid select case(phase_constitution(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_dislobased_label) thisOutput => constitutive_dislobased_output thisSize => constitutive_dislobased_sizePostResult case (constitutive_nonlocal_label) thisOutput => constitutive_nonlocal_output thisSize => constitutive_nonlocal_sizePostResult case default knownConstitution = .false. end select write(fileunit,*) write(fileunit,'(a)') '['//trim(phase_name(p))//']' write(fileunit,*) if (knownConstitution) then write(fileunit,'(a)') '#'//char(9)//'constitution'//char(9)//trim(phase_constitution(p)) do e = 1,phase_Noutput(p) write(fileunit,'(a,i4)') trim(thisOutput(e,i))//char(9),thisSize(e,i) enddo endif enddo close(fileunit) ! allocate memory for state management allocate(constitutive_state0(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems)) allocate(constitutive_partionedState0(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems)) allocate(constitutive_subState0(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems)) allocate(constitutive_state(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems)) allocate(constitutive_dotState(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems)) allocate(constitutive_relevantState(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems)) allocate(constitutive_sizeDotState(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_sizeDotState = 0_pInt allocate(constitutive_sizeState(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_sizeState = 0_pInt allocate(constitutive_sizePostResults(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems)); constitutive_sizePostResults = 0_pInt do e = 1,mesh_NcpElems ! loop over elements myNgrains = homogenization_Ngrains(mesh_element(3,e)) do i = 1,FE_Nips(mesh_element(2,e)) ! loop over IPs do g = 1,myNgrains ! loop over grains debugger = (e == 1 .and. i == 1 .and. g == 1) myInstance = phase_constitutionInstance(material_phase(g,i,e)) select case(phase_constitution(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_relevantState(g,i,e)%p(constitutive_j2_sizeState(myInstance))) allocate(constitutive_dotState(g,i,e)%p(constitutive_j2_sizeDotState(myInstance))) constitutive_state0(g,i,e)%p = constitutive_j2_stateInit(myInstance) constitutive_relevantState(g,i,e)%p = constitutive_j2_relevantState(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_relevantState(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance))) allocate(constitutive_dotState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance))) constitutive_state0(g,i,e)%p = constitutive_phenopowerlaw_stateInit(myInstance) constitutive_relevantState(g,i,e)%p = constitutive_phenopowerlaw_relevantState(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_dislobased_label) allocate(constitutive_state0(g,i,e)%p(constitutive_dislobased_sizeState(myInstance))) allocate(constitutive_partionedState0(g,i,e)%p(constitutive_dislobased_sizeState(myInstance))) allocate(constitutive_subState0(g,i,e)%p(constitutive_dislobased_sizeState(myInstance))) allocate(constitutive_state(g,i,e)%p(constitutive_dislobased_sizeState(myInstance))) allocate(constitutive_relevantState(g,i,e)%p(constitutive_dislobased_sizeState(myInstance))) allocate(constitutive_dotState(g,i,e)%p(constitutive_dislobased_sizeDotState(myInstance))) constitutive_state0(g,i,e)%p = constitutive_dislobased_stateInit(myInstance) constitutive_relevantState(g,i,e)%p = constitutive_dislobased_relevantState(myInstance) constitutive_sizeState(g,i,e) = constitutive_dislobased_sizeState(myInstance) constitutive_sizeDotState(g,i,e) = constitutive_dislobased_sizeDotState(myInstance) constitutive_sizePostResults(g,i,e) = constitutive_dislobased_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_relevantState(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance))) allocate(constitutive_dotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance))) constitutive_state0(g,i,e)%p = constitutive_nonlocal_stateInit(myInstance) constitutive_relevantState(g,i,e)%p = constitutive_nonlocal_relevantState(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,material_phase(g,i,e)) ! unknown constitution end select constitutive_partionedState0(g,i,e)%p = constitutive_state0(g,i,e)%p enddo enddo enddo constitutive_maxSizeState = maxval(constitutive_sizeState) constitutive_maxSizeDotState = maxval(constitutive_sizeDotState) constitutive_maxSizePostResults = maxval(constitutive_sizePostResults) write(6,*) write(6,*) '<<<+- constitutive init -+>>>' write(6,*) '$Id$' write(6,*) write(6,'(a32,x,7(i5,x))') 'constitutive_state0: ', shape(constitutive_state0) write(6,'(a32,x,7(i5,x))') 'constitutive_partionedState0: ', shape(constitutive_partionedState0) write(6,'(a32,x,7(i5,x))') 'constitutive_subState0: ', shape(constitutive_subState0) write(6,'(a32,x,7(i5,x))') 'constitutive_state: ', shape(constitutive_state) write(6,'(a32,x,7(i5,x))') 'constitutive_relevantState: ', shape(constitutive_relevantState) write(6,'(a32,x,7(i5,x))') 'constitutive_dotState: ', shape(constitutive_dotState) write(6,'(a32,x,7(i5,x))') 'constitutive_sizeState: ', shape(constitutive_sizeState) write(6,'(a32,x,7(i5,x))') 'constitutive_sizeDotState: ', shape(constitutive_sizeDotState) write(6,'(a32,x,7(i5,x))') 'constitutive_sizePostResults: ', shape(constitutive_sizePostResults) write(6,*) write(6,'(a32,x,7(i5,x))') 'maxSizeState: ', constitutive_maxSizeState write(6,'(a32,x,7(i5,x))') 'maxSizePostResults: ', constitutive_maxSizePostResults return 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,pInt use material, only: phase_constitution,material_phase use constitutive_j2 use constitutive_phenopowerlaw use constitutive_dislobased use constitutive_nonlocal implicit none !* Definition of variables integer(pInt) ipc,ip,el real(pReal), dimension(6,6) :: constitutive_homogenizedC select case (phase_constitution(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_dislobased_label) constitutive_homogenizedC = constitutive_dislobased_homogenizedC(constitutive_state,ipc,ip,el) case (constitutive_nonlocal_label) constitutive_homogenizedC = constitutive_nonlocal_homogenizedC(constitutive_state,ipc,ip,el) end select return endfunction subroutine constitutive_microstructure(Temperature,Fp,ipc,ip,el) !********************************************************************* !* This function calculates from state needed variables * !* INPUT: * !* - state : state variables * !* - Tp : temperature * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !********************************************************************* use prec, only: pReal,pInt use material, only: phase_constitution, & material_phase, & homogenization_maxNgrains use mesh, only: mesh_NcpElems, & mesh_maxNips use constitutive_j2 use constitutive_phenopowerlaw use constitutive_dislobased use constitutive_nonlocal implicit none !* Definition of variables integer(pInt), intent(in) :: ipc,ip,el real(pReal), intent(in) :: Temperature real(pReal), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: Fp select case (phase_constitution(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_dislobased_label) call constitutive_dislobased_microstructure(Temperature,constitutive_state,ipc,ip,el) case (constitutive_nonlocal_label) call constitutive_nonlocal_microstructure(Temperature, Fp, constitutive_state,ipc,ip,el) end select endsubroutine subroutine constitutive_LpAndItsTangent(Lp, dLp_dTstar, Tstar_v, Temperature, ipc, ip, el) !********************************************************************* !* This subroutine contains the constitutive equation for * !* calculating the velocity gradient * !* INPUT: * !* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !* OUTPUT: * !* - Lp : plastic velocity gradient * !* - dLp_dTstar : derivative of Lp (4th-order tensor) * !********************************************************************* use prec, only: pReal,pInt use material, only: phase_constitution,material_phase use constitutive_j2 use constitutive_phenopowerlaw use constitutive_dislobased use constitutive_nonlocal implicit none !* Definition of variables integer(pInt) ipc,ip,el real(pReal) Temperature real(pReal), dimension(6) :: Tstar_v real(pReal), dimension(3,3) :: Lp real(pReal), dimension(9,9) :: dLp_dTstar select case (phase_constitution(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_dislobased_label) call constitutive_dislobased_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) end select return endsubroutine subroutine constitutive_collectDotState(Tstar_v, subTstar0_v, Fp, invFp, Temperature, subdt, ipc, ip, el) !********************************************************************* !* This subroutine contains the constitutive equation for * !* calculating the rate of change of microstructure * !* INPUT: * !* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - state : current microstructure * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !* OUTPUT: * !* - constitutive_dotState : evolution of state variable * !********************************************************************* use prec, only: pReal,pInt use debug use material, only: phase_constitution,material_phase use constitutive_j2 use constitutive_phenopowerlaw use constitutive_dislobased use constitutive_nonlocal implicit none !* Definition of variables integer(pInt) ipc,ip,el real(pReal) Temperature, subdt real(pReal), dimension(3,3) :: Fp, invFp real(pReal), dimension(6) :: Tstar_v, subTstar0_v select case (phase_constitution(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_dislobased_label) constitutive_dotState(ipc,ip,el)%p = constitutive_dislobased_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el) case (constitutive_nonlocal_label) call constitutive_nonlocal_dotState(constitutive_dotState, Tstar_v, subTstar0_v, Fp, invFp, Temperature, subdt, & constitutive_state, constitutive_subState0, ipc, ip, el) end select return endsubroutine function constitutive_dotTemperature(Tstar_v,Temperature,ipc,ip,el) !********************************************************************* !* This subroutine contains the constitutive equation for * !* calculating the rate of change of microstructure * !* INPUT: * !* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - state : current microstructure * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !* OUTPUT: * !* - constitutive_dotTemperature : evolution of temperature * !********************************************************************* use prec, only: pReal,pInt use material, only: phase_constitution,material_phase use constitutive_j2 use constitutive_phenopowerlaw use constitutive_dislobased use constitutive_nonlocal implicit none !* Definition of variables integer(pInt) ipc,ip,el real(pReal) Temperature real(pReal) constitutive_dotTemperature real(pReal), dimension(6) :: Tstar_v select case (phase_constitution(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_dislobased_label) constitutive_dotTemperature = constitutive_dislobased_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 return endfunction pure function constitutive_postResults(Tstar_v,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,pInt use material, only: phase_constitution,material_phase use constitutive_j2 use constitutive_phenopowerlaw use constitutive_dislobased use constitutive_nonlocal implicit none !* Definition of variables integer(pInt), intent(in) :: ipc,ip,el real(pReal), intent(in) :: dt,Temperature real(pReal), dimension(6), intent(in) :: Tstar_v real(pReal), dimension(constitutive_sizePostResults(ipc,ip,el)) :: constitutive_postResults constitutive_postResults = 0.0_pReal select case (phase_constitution(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_dislobased_label) constitutive_postResults = constitutive_dislobased_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el) case (constitutive_nonlocal_label) constitutive_postResults = constitutive_nonlocal_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el) end select return endfunction END MODULE