DAMASK_EICMD/code/constitutive.f90

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!************************************
!* Module: CONSTITUTIVE *
!************************************
!* contains: *
!* - constitutive equations *
!* - parameters definition *
!************************************
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MODULE constitutive
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!*** Include other modules ***
use prec
implicit none
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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)
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
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CONTAINS
!****************************************
!* - constitutive_init
!* - constitutive_homogenizedC
!* - constitutive_microstructure
!* - constitutive_LpAndItsTangent
!* - constitutive_dotState
!* - constitutive_postResults
!****************************************
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subroutine constitutive_init()
!**************************************
!* Module initialization *
!**************************************
use prec, only: pReal,pInt
use IO, only: IO_error, IO_open_file
use mesh, only: mesh_maxNips,mesh_NcpElems,mesh_element,FE_Nips
use material
use constitutive_phenomenological
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use constitutive_j2
use constitutive_dislobased
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integer(pInt), parameter :: fileunit = 200
integer(pInt) e,i,g,myInstance,myNgrains
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if(.not. IO_open_file(fileunit,material_configFile)) call IO_error (100) ! corrupt config file
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call constitutive_phenomenological_init(fileunit) ! parse all phases of this constitution
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call constitutive_j2_init(fileunit)
call constitutive_dislobased_init(fileunit)
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close(fileunit)
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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_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
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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
myInstance = phase_constitutionInstance(material_phase(g,i,e))
select case(phase_constitution(material_phase(g,i,e)))
case (constitutive_phenomenological_label)
allocate(constitutive_state0(g,i,e)%p(constitutive_phenomenological_sizeState(myInstance)))
allocate(constitutive_partionedState0(g,i,e)%p(constitutive_phenomenological_sizeState(myInstance)))
allocate(constitutive_subState0(g,i,e)%p(constitutive_phenomenological_sizeState(myInstance)))
allocate(constitutive_state(g,i,e)%p(constitutive_phenomenological_sizeState(myInstance)))
constitutive_state0(g,i,e)%p = constitutive_phenomenological_stateInit(myInstance)
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constitutive_sizeDotState(g,i,e) = constitutive_phenomenological_sizeDotState(myInstance)
constitutive_sizeState(g,i,e) = constitutive_phenomenological_sizeState(myInstance)
constitutive_sizePostResults(g,i,e) = constitutive_phenomenological_sizePostResults(myInstance)
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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)))
constitutive_state0(g,i,e)%p = constitutive_j2_stateInit(myInstance)
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constitutive_sizeDotState(g,i,e) = constitutive_j2_sizeDotState(myInstance)
constitutive_sizeState(g,i,e) = constitutive_j2_sizeState(myInstance)
constitutive_sizePostResults(g,i,e) = constitutive_j2_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)))
constitutive_state0(g,i,e)%p = constitutive_dislobased_stateInit(myInstance)
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constitutive_sizeDotState(g,i,e) = constitutive_dislobased_sizeDotState(myInstance)
constitutive_sizeState(g,i,e) = constitutive_dislobased_sizeState(myInstance)
constitutive_sizePostResults(g,i,e) = constitutive_dislobased_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_maxSizeDotState = maxval(constitutive_sizeDotState)
constitutive_maxSizeState = maxval(constitutive_sizeState)
constitutive_maxSizePostResults = maxval(constitutive_sizePostResults)
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write(6,*)
write(6,*) '<<<+- constitutive init -+>>>'
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_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
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end subroutine
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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_phenomenological
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use constitutive_j2
use constitutive_dislobased
implicit none
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!* Definition of variables
integer(pInt) ipc,ip,el
real(pReal), dimension(6,6) :: constitutive_homogenizedC
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select case (phase_constitution(material_phase(ipc,ip,el)))
case (constitutive_phenomenological_label)
constitutive_homogenizedC = constitutive_phenomenological_homogenizedC(constitutive_state,ipc,ip,el)
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case (constitutive_j2_label)
constitutive_homogenizedC = constitutive_j2_homogenizedC(constitutive_state,ipc,ip,el)
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case (constitutive_dislobased_label)
constitutive_homogenizedC = constitutive_dislobased_homogenizedC(constitutive_state,ipc,ip,el)
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end select
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return
end function
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subroutine constitutive_microstructure(Temperature,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
use constitutive_phenomenological
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use constitutive_j2
use constitutive_dislobased
implicit none
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!* Definition of variables
integer(pInt) ipc,ip,el
real(pReal) Temperature
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select case (phase_constitution(material_phase(ipc,ip,el)))
case (constitutive_phenomenological_label)
call constitutive_phenomenological_microstructure(Temperature,constitutive_state,ipc,ip,el)
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case (constitutive_j2_label)
call constitutive_j2_microstructure(Temperature,constitutive_state,ipc,ip,el)
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case (constitutive_dislobased_label)
call constitutive_dislobased_microstructure(Temperature,constitutive_state,ipc,ip,el)
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end select
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end subroutine
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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_phenomenological
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use constitutive_j2
use constitutive_dislobased
implicit none
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!* 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
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select case (phase_constitution(material_phase(ipc,ip,el)))
case (constitutive_phenomenological_label)
call constitutive_phenomenological_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,constitutive_state,ipc,ip,el)
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case (constitutive_j2_label)
call constitutive_j2_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,constitutive_state,ipc,ip,el)
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case (constitutive_dislobased_label)
call constitutive_dislobased_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,constitutive_state,ipc,ip,el)
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end select
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return
end subroutine
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function constitutive_dotState(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_dotState : evolution of state variable *
!*********************************************************************
use prec, only: pReal,pInt
use material, only: phase_constitution,material_phase
use constitutive_phenomenological
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use constitutive_j2
use constitutive_dislobased
implicit none
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!* Definition of variables
integer(pInt) ipc,ip,el
real(pReal) Temperature
real(pReal), dimension(6) :: Tstar_v
real(pReal), dimension(constitutive_sizeDotState(ipc,ip,el)) :: constitutive_dotState
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select case (phase_constitution(material_phase(ipc,ip,el)))
case (constitutive_phenomenological_label)
constitutive_dotState = constitutive_phenomenological_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
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case (constitutive_j2_label)
constitutive_dotState = constitutive_j2_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
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case (constitutive_dislobased_label)
constitutive_dotState = constitutive_dislobased_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
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end select
return
end function
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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_phenomenological
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use constitutive_j2
use constitutive_dislobased
implicit none
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!* 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
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constitutive_postResults = 0.0_pReal
select case (phase_constitution(material_phase(ipc,ip,el)))
case (constitutive_phenomenological_label)
constitutive_postResults = constitutive_phenomenological_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el)
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case (constitutive_j2_label)
constitutive_postResults = constitutive_j2_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el)
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case (constitutive_dislobased_label)
constitutive_postResults = constitutive_dislobased_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el)
end select
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return
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end function
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END MODULE