DAMASK_EICMD/code/constitutive.f90

920 lines
48 KiB
Fortran

! Copyright 2011-13 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 <http://www.gnu.org/licenses/>.
!
!--------------------------------------------------------------------------------------------------
! $Id$
!--------------------------------------------------------------------------------------------------
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @brief elasticity, plasticity, internal microstructure state
!--------------------------------------------------------------------------------------------------
module constitutive
use prec, only: &
pInt, &
pReal, &
p_vec
implicit none
private
type(p_vec), public, dimension(:,:,:), allocatable :: &
constitutive_state0, & !< pointer array to microstructure at start of BVP 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_deltaState, & !< pointer array to incremental change 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), public, dimension(:,:,:,:), allocatable :: &
constitutive_RKCK45dotState !< pointer array to evolution of microstructure used by Cash-Karp Runge-Kutta method
integer(pInt), public, 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), public :: &
constitutive_maxSizeDotState, &
constitutive_maxSizePostResults
integer(pInt), private :: &
constitutive_maxSizeState
public :: &
constitutive_init, &
constitutive_homogenizedC, &
constitutive_microstructure, &
constitutive_LpAndItsTangent, &
constitutive_TandItsTangent, &
constitutive_collectDotState, &
constitutive_collectDeltaState, &
constitutive_postResults
private :: &
constitutive_hooke_TandItsTangent
contains
!--------------------------------------------------------------------------------------------------
!> @brief allocates arrays pointing to array of the various constitutive modules
!--------------------------------------------------------------------------------------------------
subroutine constitutive_init
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_level, &
debug_constitutive, &
debug_levelBasic
use numerics, only: &
numerics_integrator
use IO, only: &
IO_error, &
IO_open_file, &
IO_open_jobFile_stat, &
IO_write_jobFile, &
IO_write_jobIntFile, &
IO_timeStamp
use mesh, only: &
mesh_maxNips, &
mesh_NcpElems, &
mesh_element, &
FE_Nips, &
FE_geomtype
use material, only: &
material_phase, &
material_Nphase, &
material_localFileExt, &
material_configFile, &
phase_name, &
phase_elasticity, &
phase_plasticity, &
phase_plasticityInstance, &
phase_Noutput, &
homogenization_Ngrains, &
homogenization_maxNgrains, &
ELASTICITY_HOOKE_ID, &
PLASTICITY_NONE_ID, &
PLASTICITY_J2_ID, &
PLASTICITY_PHENOPOWERLAW_ID, &
PLASTICITY_DISLOTWIN_ID, &
PLASTICITY_TITANMOD_ID, &
PLASTICITY_NONLOCAL_ID ,&
ELASTICITY_HOOKE_label, &
PLASTICITY_NONE_label, &
PLASTICITY_J2_label, &
PLASTICITY_PHENOPOWERLAW_label, &
PLASTICITY_DISLOTWIN_label, &
PLASTICITY_TITANMOD_label, &
PLASTICITY_NONLOCAL_label
use constitutive_none
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
cMax, & !< maximum number of grains
iMax, & !< maximum number of integration points
eMax, & !< maximum number of elements
phase, &
s, &
instance,&
myNgrains
integer(pInt), dimension(:,:), pointer :: thisSize
character(len=64), dimension(:,:), pointer :: thisOutput
character(len=32) :: outputName !< name of output, intermediate fix until HDF5 output is ready
logical :: knownPlasticity, nonlocalConstitutionPresent
nonlocalConstitutionPresent = .false.
!--------------------------------------------------------------------------------------------------
! parse plasticities from config file
if (.not. IO_open_jobFile_stat(FILEUNIT,material_localFileExt)) & ! no local material configuration present...
call IO_open_file(FILEUNIT,material_configFile) ! ... open material.config file
call constitutive_none_init(FILEUNIT)
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(6,'(/,a)') ' <<<+- constitutive init -+>>>'
write(6,'(a)') ' $Id$'
write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
#include "compilation_info.f90"
!--------------------------------------------------------------------------------------------------
! write description file for constitutive phase output
call IO_write_jobFile(FILEUNIT,'outputConstitutive')
do phase = 1_pInt,material_Nphase
instance = phase_plasticityInstance(phase) ! which instance of a plasticity is present phase
knownPlasticity = .true. ! assume valid
select case(phase_plasticity(phase)) ! split per constititution
case (PLASTICITY_NONE_ID)
outputName = PLASTICITY_NONE_label
thisOutput => NULL() ! constitutive_none_output
thisSize => NULL() ! constitutive_none_sizePostResult
case (PLASTICITY_J2_ID)
outputName = PLASTICITY_J2_label
thisOutput => constitutive_j2_output
thisSize => constitutive_j2_sizePostResult
case (PLASTICITY_PHENOPOWERLAW_ID)
outputName = PLASTICITY_PHENOPOWERLAW_label
thisOutput => constitutive_phenopowerlaw_output
thisSize => constitutive_phenopowerlaw_sizePostResult
case (PLASTICITY_DISLOTWIN_ID)
outputName = PLASTICITY_DISLOTWIN_label
thisOutput => constitutive_dislotwin_output
thisSize => constitutive_dislotwin_sizePostResult
case (PLASTICITY_TITANMOD_ID)
outputName = PLASTICITY_TITANMOD_label
thisOutput => constitutive_titanmod_output
thisSize => constitutive_titanmod_sizePostResult
case (PLASTICITY_NONLOCAL_ID)
outputName = PLASTICITY_NONLOCAL_label
thisOutput => constitutive_nonlocal_output
thisSize => constitutive_nonlocal_sizePostResult
case default
knownPlasticity = .false.
end select
write(FILEUNIT,'(/,a,/)') '['//trim(phase_name(phase))//']'
if (knownPlasticity) then
write(FILEUNIT,'(a)') '(plasticity)'//char(9)//trim(outputName)
do e = 1_pInt,phase_Noutput(instance)
write(FILEUNIT,'(a,i4)') trim(thisOutput(e,instance))//char(9),thisSize(e,instance)
enddo
endif
enddo
close(FILEUNIT)
!--------------------------------------------------------------------------------------------------
! allocation of states
cMax = homogenization_maxNgrains
iMax = mesh_maxNips
eMax = mesh_NcpElems
allocate(constitutive_state0(cMax,iMax,eMax))
allocate(constitutive_partionedState0(cMax,iMax,eMax))
allocate(constitutive_subState0(cMax,iMax,eMax))
allocate(constitutive_state(cMax,iMax,eMax))
allocate(constitutive_state_backup(cMax,iMax,eMax))
allocate(constitutive_dotState(cMax,iMax,eMax))
allocate(constitutive_deltaState(cMax,iMax,eMax))
allocate(constitutive_dotState_backup(cMax,iMax,eMax))
allocate(constitutive_aTolState(cMax,iMax,eMax))
allocate(constitutive_sizeDotState(cMax,iMax,eMax), source=0_pInt)
allocate(constitutive_sizeState(cMax,iMax,eMax), source=0_pInt)
allocate(constitutive_sizePostResults(cMax,iMax,eMax), source=0_pInt)
if (any(numerics_integrator == 1_pInt)) then
allocate(constitutive_previousDotState(cMax,iMax,eMax))
allocate(constitutive_previousDotState2(cMax,iMax,eMax))
endif
if (any(numerics_integrator == 4_pInt)) then
allocate(constitutive_RK4dotState(cMax,iMax,eMax))
endif
if (any(numerics_integrator == 5_pInt)) then
allocate(constitutive_RKCK45dotState(6,cMax,iMax,eMax))
endif
do e = 1_pInt,mesh_NcpElems ! loop over elements
myNgrains = homogenization_Ngrains(mesh_element(3,e))
do i = 1_pInt,FE_Nips(FE_geomtype(mesh_element(2,e))) ! loop over IPs
do g = 1_pInt,myNgrains ! loop over grains
select case(phase_elasticity(material_phase(g,i,e)))
case default ! so far no output for elasticity
end select
instance = phase_plasticityInstance(material_phase(g,i,e))
select case(phase_plasticity(material_phase(g,i,e)))
case (PLASTICITY_NONE_ID)
allocate(constitutive_state0(g,i,e)%p(constitutive_none_sizeState(instance)))
allocate(constitutive_partionedState0(g,i,e)%p(constitutive_none_sizeState(instance)))
allocate(constitutive_subState0(g,i,e)%p(constitutive_none_sizeState(instance)))
allocate(constitutive_state(g,i,e)%p(constitutive_none_sizeState(instance)))
allocate(constitutive_state_backup(g,i,e)%p(constitutive_none_sizeState(instance)))
allocate(constitutive_aTolState(g,i,e)%p(constitutive_none_sizeState(instance)))
allocate(constitutive_dotState(g,i,e)%p(constitutive_none_sizeDotState(instance)))
allocate(constitutive_deltaState(g,i,e)%p(constitutive_none_sizeDotState(instance)))
allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_none_sizeDotState(instance)))
if (any(numerics_integrator == 1_pInt)) then
allocate(constitutive_previousDotState(g,i,e)%p(constitutive_none_sizeDotState(instance)))
allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_none_sizeDotState(instance)))
endif
if (any(numerics_integrator == 4_pInt)) then
allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_none_sizeDotState(instance)))
endif
if (any(numerics_integrator == 5_pInt)) then
do s = 1_pInt,6_pInt
allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_none_sizeDotState(instance)))
enddo
endif
constitutive_state0(g,i,e)%p = 0.0_pReal
constitutive_aTolState(g,i,e)%p = 1.0_pReal
constitutive_sizeState(g,i,e) = 0_pInt
constitutive_sizeDotState(g,i,e) = 0_pInt
constitutive_sizePostResults(g,i,e) = 0_pInt
case (PLASTICITY_J2_ID)
allocate(constitutive_state0(g,i,e)%p(constitutive_j2_sizeState(instance)))
allocate(constitutive_partionedState0(g,i,e)%p(constitutive_j2_sizeState(instance)))
allocate(constitutive_subState0(g,i,e)%p(constitutive_j2_sizeState(instance)))
allocate(constitutive_state(g,i,e)%p(constitutive_j2_sizeState(instance)))
allocate(constitutive_state_backup(g,i,e)%p(constitutive_j2_sizeState(instance)))
allocate(constitutive_aTolState(g,i,e)%p(constitutive_j2_sizeState(instance)))
allocate(constitutive_dotState(g,i,e)%p(constitutive_j2_sizeDotState(instance)))
allocate(constitutive_deltaState(g,i,e)%p(constitutive_j2_sizeDotState(instance)))
allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_j2_sizeDotState(instance)))
if (any(numerics_integrator == 1_pInt)) then
allocate(constitutive_previousDotState(g,i,e)%p(constitutive_j2_sizeDotState(instance)))
allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_j2_sizeDotState(instance)))
endif
if (any(numerics_integrator == 4_pInt)) then
allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_j2_sizeDotState(instance)))
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(instance)))
enddo
endif
constitutive_state0(g,i,e)%p = constitutive_j2_stateInit(instance)
constitutive_aTolState(g,i,e)%p = constitutive_j2_aTolState(instance)
constitutive_sizeState(g,i,e) = constitutive_j2_sizeState(instance)
constitutive_sizeDotState(g,i,e) = constitutive_j2_sizeDotState(instance)
constitutive_sizePostResults(g,i,e) = constitutive_j2_sizePostResults(instance)
case (PLASTICITY_PHENOPOWERLAW_ID)
allocate(constitutive_state0(g,i,e)%p(constitutive_phenopowerlaw_sizeState(instance)))
allocate(constitutive_partionedState0(g,i,e)%p(constitutive_phenopowerlaw_sizeState(instance)))
allocate(constitutive_subState0(g,i,e)%p(constitutive_phenopowerlaw_sizeState(instance)))
allocate(constitutive_state(g,i,e)%p(constitutive_phenopowerlaw_sizeState(instance)))
allocate(constitutive_state_backup(g,i,e)%p(constitutive_phenopowerlaw_sizeState(instance)))
allocate(constitutive_aTolState(g,i,e)%p(constitutive_phenopowerlaw_sizeState(instance)))
allocate(constitutive_dotState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(instance)))
allocate(constitutive_deltaState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(instance)))
allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(instance)))
if (any(numerics_integrator == 1_pInt)) then
allocate(constitutive_previousDotState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(instance)))
allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(instance)))
endif
if (any(numerics_integrator == 4_pInt)) then
allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(instance)))
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(instance)))
enddo
endif
constitutive_state0(g,i,e)%p = constitutive_phenopowerlaw_stateInit(instance)
constitutive_aTolState(g,i,e)%p = constitutive_phenopowerlaw_aTolState(instance)
constitutive_sizeState(g,i,e) = constitutive_phenopowerlaw_sizeState(instance)
constitutive_sizeDotState(g,i,e) = constitutive_phenopowerlaw_sizeDotState(instance)
constitutive_sizePostResults(g,i,e) = constitutive_phenopowerlaw_sizePostResults(instance)
case (PLASTICITY_DISLOTWIN_ID)
allocate(constitutive_state0(g,i,e)%p(constitutive_dislotwin_sizeState(instance)))
allocate(constitutive_partionedState0(g,i,e)%p(constitutive_dislotwin_sizeState(instance)))
allocate(constitutive_subState0(g,i,e)%p(constitutive_dislotwin_sizeState(instance)))
allocate(constitutive_state(g,i,e)%p(constitutive_dislotwin_sizeState(instance)))
allocate(constitutive_state_backup(g,i,e)%p(constitutive_dislotwin_sizeState(instance)))
allocate(constitutive_aTolState(g,i,e)%p(constitutive_dislotwin_sizeState(instance)))
allocate(constitutive_dotState(g,i,e)%p(constitutive_dislotwin_sizeDotState(instance)))
allocate(constitutive_deltaState(g,i,e)%p(constitutive_dislotwin_sizeDotState(instance)))
allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_dislotwin_sizeDotState(instance)))
if (any(numerics_integrator == 1_pInt)) then
allocate(constitutive_previousDotState(g,i,e)%p(constitutive_dislotwin_sizeDotState(instance)))
allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_dislotwin_sizeDotState(instance)))
endif
if (any(numerics_integrator == 4_pInt)) then
allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_dislotwin_sizeDotState(instance)))
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(instance)))
enddo
endif
constitutive_state0(g,i,e)%p = constitutive_dislotwin_stateInit(instance)
constitutive_aTolState(g,i,e)%p = constitutive_dislotwin_aTolState(instance)
constitutive_sizeState(g,i,e) = constitutive_dislotwin_sizeState(instance)
constitutive_sizeDotState(g,i,e) = constitutive_dislotwin_sizeDotState(instance)
constitutive_sizePostResults(g,i,e) = constitutive_dislotwin_sizePostResults(instance)
case (PLASTICITY_TITANMOD_ID)
allocate(constitutive_state0(g,i,e)%p(constitutive_titanmod_sizeState(instance)))
allocate(constitutive_partionedState0(g,i,e)%p(constitutive_titanmod_sizeState(instance)))
allocate(constitutive_subState0(g,i,e)%p(constitutive_titanmod_sizeState(instance)))
allocate(constitutive_state(g,i,e)%p(constitutive_titanmod_sizeState(instance)))
allocate(constitutive_state_backup(g,i,e)%p(constitutive_titanmod_sizeState(instance)))
allocate(constitutive_aTolState(g,i,e)%p(constitutive_titanmod_sizeState(instance)))
allocate(constitutive_dotState(g,i,e)%p(constitutive_titanmod_sizeDotState(instance)))
allocate(constitutive_deltaState(g,i,e)%p(constitutive_titanmod_sizeDotState(instance)))
allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_titanmod_sizeDotState(instance)))
if (any(numerics_integrator == 1_pInt)) then
allocate(constitutive_previousDotState(g,i,e)%p(constitutive_titanmod_sizeDotState(instance)))
allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_titanmod_sizeDotState(instance)))
endif
if (any(numerics_integrator == 4_pInt)) then
allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_titanmod_sizeDotState(instance)))
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(instance)))
enddo
endif
constitutive_state0(g,i,e)%p = constitutive_titanmod_stateInit(instance)
constitutive_aTolState(g,i,e)%p = constitutive_titanmod_aTolState(instance)
constitutive_sizeState(g,i,e) = constitutive_titanmod_sizeState(instance)
constitutive_sizeDotState(g,i,e) = constitutive_titanmod_sizeDotState(instance)
constitutive_sizePostResults(g,i,e) = constitutive_titanmod_sizePostResults(instance)
case (PLASTICITY_NONLOCAL_ID)
nonlocalConstitutionPresent = .true.
if(myNgrains/=1_pInt) call IO_error(252_pInt, e,i,g)
allocate(constitutive_state0(g,i,e)%p(constitutive_nonlocal_sizeState(instance)))
allocate(constitutive_partionedState0(g,i,e)%p(constitutive_nonlocal_sizeState(instance)))
allocate(constitutive_subState0(g,i,e)%p(constitutive_nonlocal_sizeState(instance)))
allocate(constitutive_state(g,i,e)%p(constitutive_nonlocal_sizeState(instance)))
allocate(constitutive_state_backup(g,i,e)%p(constitutive_nonlocal_sizeState(instance)))
allocate(constitutive_aTolState(g,i,e)%p(constitutive_nonlocal_sizeState(instance)))
allocate(constitutive_dotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(instance)))
allocate(constitutive_deltaState(g,i,e)%p(constitutive_nonlocal_sizeDotState(instance)))
allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_nonlocal_sizeDotState(instance)))
if (any(numerics_integrator == 1_pInt)) then
allocate(constitutive_previousDotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(instance)))
allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_nonlocal_sizeDotState(instance)))
endif
if (any(numerics_integrator == 4_pInt)) then
allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(instance)))
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(instance)))
enddo
endif
constitutive_aTolState(g,i,e)%p = constitutive_nonlocal_aTolState(instance)
constitutive_sizeState(g,i,e) = constitutive_nonlocal_sizeState(instance)
constitutive_sizeDotState(g,i,e) = constitutive_nonlocal_sizeDotState(instance)
constitutive_sizePostResults(g,i,e) = constitutive_nonlocal_sizePostResults(instance)
end select
enddo
enddo
enddo
if (nonlocalConstitutionPresent) &
call constitutive_nonlocal_stateInit(constitutive_state0(1,1:iMax,1:eMax))
do e = 1_pInt,mesh_NcpElems ! loop over elements
myNgrains = homogenization_Ngrains(mesh_element(3,e))
forall(i = 1_pInt:FE_Nips(FE_geomtype(mesh_element(2,e))), g = 1_pInt:myNgrains)
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
endforall
enddo
!--------------------------------------------------------------------------------------------------
! write out state size file
call IO_write_jobIntFile(777,'sizeStateConst', size(constitutive_sizeState))
write (777,rec=1) constitutive_sizeState
close(777)
!--------------------------------------------------------------------------------------------------
! report
constitutive_maxSizeState = maxval(constitutive_sizeState)
constitutive_maxSizeDotState = maxval(constitutive_sizeDotState)
constitutive_maxSizePostResults = maxval(constitutive_sizePostResults)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) then
write(6,'(a32,1x,7(i8,1x))') 'constitutive_state0: ', shape(constitutive_state0)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_partionedState0: ', shape(constitutive_partionedState0)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_subState0: ', shape(constitutive_subState0)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_state: ', shape(constitutive_state)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_aTolState: ', shape(constitutive_aTolState)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_dotState: ', shape(constitutive_dotState)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_deltaState: ', shape(constitutive_deltaState)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizeState: ', shape(constitutive_sizeState)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizeDotState: ', shape(constitutive_sizeDotState)
write(6,'(a32,1x,7(i8,1x),/)') 'constitutive_sizePostResults: ', shape(constitutive_sizePostResults)
write(6,'(a32,1x,7(i8,1x))') 'maxSizeState: ', constitutive_maxSizeState
write(6,'(a32,1x,7(i8,1x))') 'maxSizeDotState: ', constitutive_maxSizeDotState
write(6,'(a32,1x,7(i8,1x))') 'maxSizePostResults: ', constitutive_maxSizePostResults
endif
flush(6)
end subroutine constitutive_init
!--------------------------------------------------------------------------------------------------
!> @brief returns the homogenize elasticity matrix
!--------------------------------------------------------------------------------------------------
pure function constitutive_homogenizedC(ipc,ip,el)
use material, only: &
phase_plasticity, &
material_phase, &
PLASTICITY_NONE_ID, &
PLASTICITY_J2_ID, &
PLASTICITY_PHENOPOWERLAW_ID, &
PLASTICITY_DISLOTWIN_ID, &
PLASTICITY_TITANMOD_ID, &
PLASTICITY_NONLOCAL_ID
use constitutive_none, only: &
constitutive_none_homogenizedC
use constitutive_j2, only: &
constitutive_j2_homogenizedC
use constitutive_phenopowerlaw, only: &
constitutive_phenopowerlaw_homogenizedC
use constitutive_dislotwin, only: &
constitutive_dislotwin_homogenizedC
use constitutive_titanmod, only: &
constitutive_titanmod_homogenizedC
use constitutive_nonlocal, only: &
constitutive_nonlocal_homogenizedC
implicit none
real(pReal), dimension(6,6) :: constitutive_homogenizedC
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
select case (phase_plasticity(material_phase(ipc,ip,el)))
case (PLASTICITY_NONE_ID)
constitutive_homogenizedC = constitutive_none_homogenizedC(ipc,ip,el)
case (PLASTICITY_J2_ID)
constitutive_homogenizedC = constitutive_j2_homogenizedC(ipc,ip,el)
case (PLASTICITY_PHENOPOWERLAW_ID)
constitutive_homogenizedC = constitutive_phenopowerlaw_homogenizedC(ipc,ip,el)
case (PLASTICITY_DISLOTWIN_ID)
constitutive_homogenizedC = constitutive_dislotwin_homogenizedC(constitutive_state,ipc,ip,el)
case (PLASTICITY_TITANMOD_ID)
constitutive_homogenizedC = constitutive_titanmod_homogenizedC(constitutive_state,ipc,ip,el)
case (PLASTICITY_NONLOCAL_ID)
constitutive_homogenizedC = constitutive_nonlocal_homogenizedC(ipc,ip,el)
end select
end function constitutive_homogenizedC
!--------------------------------------------------------------------------------------------------
!> @brief calls microstructure function of the different constitutive models
!--------------------------------------------------------------------------------------------------
subroutine constitutive_microstructure(temperature, Fe, Fp, ipc, ip, el)
use material, only: &
phase_plasticity, &
material_phase, &
PLASTICITY_DISLOTWIN_ID, &
PLASTICITY_TITANMOD_ID, &
PLASTICITY_NONLOCAL_ID
use constitutive_titanmod, only: &
constitutive_titanmod_microstructure
use constitutive_dislotwin, only: &
constitutive_dislotwin_microstructure
use constitutive_nonlocal, only: &
constitutive_nonlocal_microstructure
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in) :: &
temperature
real(pReal), intent(in), dimension(3,3) :: &
Fe, & !< elastic deformation gradient
Fp !< plastic deformation gradient
select case (phase_plasticity(material_phase(ipc,ip,el)))
case (PLASTICITY_DISLOTWIN_ID)
call constitutive_dislotwin_microstructure(temperature,constitutive_state,ipc,ip,el)
case (PLASTICITY_TITANMOD_ID)
call constitutive_titanmod_microstructure(temperature,constitutive_state,ipc,ip,el)
case (PLASTICITY_NONLOCAL_ID)
call constitutive_nonlocal_microstructure(constitutive_state,Fe,Fp,ipc,ip,el)
end select
end subroutine constitutive_microstructure
!--------------------------------------------------------------------------------------------------
!> @brief contains the constitutive equation for calculating the velocity gradient
!--------------------------------------------------------------------------------------------------
subroutine constitutive_LpAndItsTangent(Lp, dLp_dTstar, Tstar_v, temperature, ipc, ip, el)
use math, only: &
math_identity2nd
use material, only: &
phase_plasticity, &
material_phase, &
PLASTICITY_NONE_ID, &
PLASTICITY_J2_ID, &
PLASTICITY_PHENOPOWERLAW_ID, &
PLASTICITY_DISLOTWIN_ID, &
PLASTICITY_TITANMOD_ID, &
PLASTICITY_NONLOCAL_ID
use constitutive_j2, only: &
constitutive_j2_LpAndItsTangent
use constitutive_phenopowerlaw, only: &
constitutive_phenopowerlaw_LpAndItsTangent
use constitutive_dislotwin, only: &
constitutive_dislotwin_LpAndItsTangent
use constitutive_titanmod, only: &
constitutive_titanmod_LpAndItsTangent
use constitutive_nonlocal, only: &
constitutive_nonlocal_LpAndItsTangent
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in) :: &
Temperature
real(pReal), intent(in), dimension(6) :: &
Tstar_v !< 2nd Piola-Kirchhoff stress
real(pReal), intent(out), dimension(3,3) :: &
Lp !< plastic velocity gradient
real(pReal), intent(out), dimension(9,9) :: &
dLp_dTstar !< derivative of Lp with respect to Tstar (4th-order tensor)
select case (phase_plasticity(material_phase(ipc,ip,el)))
case (PLASTICITY_NONE_ID)
Lp = 0.0_pReal
dLp_dTstar = math_identity2nd(9)
case (PLASTICITY_J2_ID)
call constitutive_j2_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,constitutive_state,ipc,ip,el)
case (PLASTICITY_PHENOPOWERLAW_ID)
call constitutive_phenopowerlaw_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,constitutive_state,ipc,ip,el)
case (PLASTICITY_DISLOTWIN_ID)
call constitutive_dislotwin_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,temperature,constitutive_state,ipc,ip,el)
case (PLASTICITY_TITANMOD_ID)
call constitutive_titanmod_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,temperature,constitutive_state,ipc,ip,el)
case (PLASTICITY_NONLOCAL_ID)
call constitutive_nonlocal_LpAndItsTangent(Lp, dLp_dTstar, Tstar_v, temperature, constitutive_state(ipc,ip,el), ipc,ip,el)
end select
end subroutine constitutive_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @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
!--------------------------------------------------------------------------------------------------
pure subroutine constitutive_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el)
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in), dimension(3,3) :: &
Fe !< elastic 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
call constitutive_hooke_TandItsTangent(T, dT_dFe, Fe, 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
!--------------------------------------------------------------------------------------------------
pure subroutine constitutive_hooke_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el)
use math, only : &
math_mul3x3, &
math_mul33x33, &
math_mul3333xx33, &
math_Mandel66to3333, &
math_transpose33, &
MATH_I3
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in), dimension(3,3) :: &
Fe !< elastic 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 !< dT/dFe
integer(pInt) :: i, j, k, l
real(pReal), dimension(3,3) :: FeT
real(pReal), dimension(3,3,3,3) :: C
C = math_Mandel66to3333(constitutive_homogenizedC(ipc,ip,el))
FeT = math_transpose33(Fe)
T = 0.5_pReal * math_mul3333xx33(C, math_mul33x33(FeT,Fe)-MATH_I3)
dT_dFe = 0.0_pReal
forall (i=1_pInt:3_pInt, j=1_pInt:3_pInt, k=1_pInt:3_pInt, l=1_pInt:3_pInt) &
dT_dFe(i,j,k,l) = math_mul3x3(C(i,j,l,1:3),Fe(k,1:3)) ! dT*_ij/dFe_kl
end subroutine constitutive_hooke_TandItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief contains the constitutive equation for calculating the rate of change of microstructure
!--------------------------------------------------------------------------------------------------
subroutine constitutive_collectDotState(Tstar_v, Fe, Fp, Temperature, subdt, subfrac, ipc, ip, el)
use prec, only: &
pLongInt
use debug, only: &
debug_cumDotStateCalls, &
debug_cumDotStateTicks, &
debug_level, &
debug_constitutive, &
debug_levelBasic
use mesh, only: &
mesh_NcpElems, &
mesh_maxNips
use material, only: &
phase_plasticity, &
material_phase, &
homogenization_maxNgrains, &
PLASTICITY_NONE_ID, &
PLASTICITY_J2_ID, &
PLASTICITY_PHENOPOWERLAW_ID, &
PLASTICITY_DISLOTWIN_ID, &
PLASTICITY_TITANMOD_ID, &
PLASTICITY_NONLOCAL_ID
use constitutive_j2, only: &
constitutive_j2_dotState
use constitutive_phenopowerlaw, only: &
constitutive_phenopowerlaw_dotState
use constitutive_dislotwin, only: &
constitutive_dislotwin_dotState
use constitutive_titanmod, only: &
constitutive_titanmod_dotState
use constitutive_nonlocal, only: &
constitutive_nonlocal_dotState
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in) :: &
Temperature, &
subdt !< timestep
real(pReal), intent(in), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
subfrac !< subfraction of timestep
real(pReal), intent(in), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
Fe, & !< elastic deformation gradient
Fp !< plastic deformation gradient
real(pReal), intent(in), dimension(6) :: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor (Mandel)
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)
select case (phase_plasticity(material_phase(ipc,ip,el)))
case (PLASTICITY_NONE_ID)
constitutive_dotState(ipc,ip,el)%p = 0.0_pReal !ToDo: needed or will it remain zero anyway?
case (PLASTICITY_J2_ID)
constitutive_dotState(ipc,ip,el)%p = constitutive_j2_dotState(Tstar_v,constitutive_state,ipc,ip,el)
case (PLASTICITY_PHENOPOWERLAW_ID)
constitutive_dotState(ipc,ip,el)%p = constitutive_phenopowerlaw_dotState(Tstar_v,constitutive_state,ipc,ip,el)
case (PLASTICITY_TITANMOD_ID)
constitutive_dotState(ipc,ip,el)%p = constitutive_titanmod_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
case (PLASTICITY_DISLOTWIN_ID)
constitutive_dotState(ipc,ip,el)%p = constitutive_dislotwin_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
case (PLASTICITY_NONLOCAL_ID)
constitutive_dotState(ipc,ip,el)%p = constitutive_nonlocal_dotState(Tstar_v, Fe, Fp, Temperature, constitutive_state, &
constitutive_state0, subdt, subfrac, ipc, ip, el)
end select
if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) then
call system_clock(count=tock,count_rate=tickrate,count_max=maxticks)
!$OMP CRITICAL (debugTimingDotState)
debug_cumDotStateCalls = debug_cumDotStateCalls + 1_pInt
debug_cumDotStateTicks = debug_cumDotStateTicks + tock-tick
!$OMP FLUSH (debug_cumDotStateTicks)
if (tock < tick) debug_cumDotStateTicks = debug_cumDotStateTicks + maxticks
!$OMP END CRITICAL (debugTimingDotState)
endif
end subroutine constitutive_collectDotState
!--------------------------------------------------------------------------------------------------
!> @brief contains the constitutive equation for calculating the incremental change of
!> microstructure based on the current stress and state
!--------------------------------------------------------------------------------------------------
subroutine constitutive_collectDeltaState(Tstar_v, ipc, ip, el)
use prec, only: &
pLongInt
use debug, only: &
debug_cumDeltaStateCalls, &
debug_cumDeltaStateTicks, &
debug_level, &
debug_constitutive, &
debug_levelBasic
use material, only: &
phase_plasticity, &
material_phase, &
PLASTICITY_NONLOCAL_ID
use constitutive_nonlocal, only: &
constitutive_nonlocal_deltaState
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in), dimension(6) :: &
Tstar_v !< 2nd Piola-Kirchhoff stress
integer(pLongInt) :: &
tick, tock, &
tickrate, &
maxticks
if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) &
call system_clock(count=tick,count_rate=tickrate,count_max=maxticks)
select case (phase_plasticity(material_phase(ipc,ip,el)))
case (PLASTICITY_NONLOCAL_ID)
call constitutive_nonlocal_deltaState(constitutive_deltaState(ipc,ip,el),constitutive_state, Tstar_v,ipc,ip,el)
case default
constitutive_deltaState(ipc,ip,el)%p = 0.0_pReal !ToDo: needed or will it remain zero anyway?
end select
if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) then
call system_clock(count=tock,count_rate=tickrate,count_max=maxticks)
!$OMP CRITICAL (debugTimingDeltaState)
debug_cumDeltaStateCalls = debug_cumDeltaStateCalls + 1_pInt
debug_cumDeltaStateTicks = debug_cumDeltaStateTicks + tock-tick
!$OMP FLUSH (debug_cumDeltaStateTicks)
if (tock < tick) debug_cumDeltaStateTicks = debug_cumDeltaStateTicks + maxticks
!$OMP END CRITICAL (debugTimingDeltaState)
endif
end subroutine constitutive_collectDeltaState
!--------------------------------------------------------------------------------------------------
!> @brief returns array of constitutive results
!--------------------------------------------------------------------------------------------------
function constitutive_postResults(Tstar_v, Fe, temperature, ipc, ip, el)
use mesh, only: &
mesh_NcpElems, &
mesh_maxNips
use material, only: &
phase_plasticity, &
material_phase, &
homogenization_maxNgrains, &
PLASTICITY_NONE_ID, &
PLASTICITY_J2_ID, &
PLASTICITY_PHENOPOWERLAW_ID, &
PLASTICITY_DISLOTWIN_ID, &
PLASTICITY_TITANMOD_ID, &
PLASTICITY_NONLOCAL_ID
use constitutive_j2, only: &
constitutive_j2_postResults
use constitutive_phenopowerlaw, only: &
constitutive_phenopowerlaw_postResults
use constitutive_dislotwin, only: &
constitutive_dislotwin_postResults
use constitutive_titanmod, only: &
constitutive_titanmod_postResults
use constitutive_nonlocal, only: &
constitutive_nonlocal_postResults
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), dimension(constitutive_sizePostResults(ipc,ip,el)) :: &
constitutive_postResults
real(pReal), intent(in) :: &
temperature
real(pReal), intent(in), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
Fe !< elastic deformation gradient
real(pReal), intent(in), dimension(6) :: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor (Mandel)
constitutive_postResults = 0.0_pReal
select case (phase_plasticity(material_phase(ipc,ip,el)))
case (PLASTICITY_NONE_ID)
constitutive_postResults = 0.0_pReal
case (PLASTICITY_TITANMOD_ID)
constitutive_postResults = constitutive_titanmod_postResults(constitutive_state,ipc,ip,el)
case (PLASTICITY_J2_ID)
constitutive_postResults = constitutive_j2_postResults(Tstar_v,constitutive_state,ipc,ip,el)
case (PLASTICITY_PHENOPOWERLAW_ID)
constitutive_postResults = constitutive_phenopowerlaw_postResults(Tstar_v,constitutive_state,ipc,ip,el)
case (PLASTICITY_DISLOTWIN_ID)
constitutive_postResults = constitutive_dislotwin_postResults(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
case (PLASTICITY_NONLOCAL_ID)
constitutive_postResults = constitutive_nonlocal_postResults(Tstar_v, Fe, constitutive_state, &
constitutive_dotstate(ipc,ip,el), ipc, ip, el)
end select
end function constitutive_postResults
end module constitutive