DAMASK_EICMD/code/constitutive.f90

1001 lines
49 KiB
Fortran

! 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 <http://www.gnu.org/licenses/>.
!
!##############################################################
!* $Id$
!************************************
!* 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_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), 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_collectDeltaState
!* - 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_deltaState(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_deltaState(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_deltaState(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_deltaState(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_deltaState(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)
select case(mesh_element(2,e))
case (1_pInt,6_pInt,7_pInt,8_pInt,9_pInt)
! all fine
case default
call IO_error(253_pInt,e,i,g)
end select
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_deltaState(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$'
#include "compilation_info.f90"
if (iand(debug_what(debug_constitutive),debug_levelBasic) /= 0_pInt) then
write(6,'(a32,1x,7(i8,1x))') 'constitutive_state0: ', shape(constitutive_state0)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_partionedState0: ', shape(constitutive_partionedState0)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_subState0: ', shape(constitutive_subState0)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_state: ', shape(constitutive_state)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_aTolState: ', shape(constitutive_aTolState)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_dotState: ', shape(constitutive_dotState)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_deltaState: ', shape(constitutive_deltaState)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizeState: ', shape(constitutive_sizeState)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizeDotState: ', shape(constitutive_sizeDotState)
write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizePostResults: ', shape(constitutive_sizePostResults)
write(6,*)
write(6,'(a32,1x,7(i8,1x))') 'maxSizeState: ', constitutive_maxSizeState
write(6,'(a32,1x,7(i8,1x))') 'maxSizeDotState: ', constitutive_maxSizeDotState
write(6,'(a32,1x,7(i8,1x))') 'maxSizePostResults: ', constitutive_maxSizePostResults
endif
call flush(6)
!$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)
constitutive_dotState(ipc,ip,el)%p = constitutive_nonlocal_dotState(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 incremental change of microstructure based on the *
!* current stress and state *
!*********************************************************************
subroutine constitutive_collectDeltaState(Tstar_v, Temperature, ipc, ip, el)
use prec, only: pReal, pLongInt
use debug, only: debug_cumDeltaStateCalls, &
debug_cumDeltaStateTicks, &
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_deltaState, &
constitutive_j2_label
use constitutive_phenopowerlaw, only: constitutive_phenopowerlaw_deltaState, &
constitutive_phenopowerlaw_label
use constitutive_titanmod, only: constitutive_titanmod_deltaState, &
constitutive_titanmod_label
use constitutive_dislotwin, only: constitutive_dislotwin_deltaState, &
constitutive_dislotwin_label
use constitutive_nonlocal, only: constitutive_nonlocal_deltaState, &
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)
!*** 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_deltaState(ipc,ip,el)%p = constitutive_j2_deltaState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
case (constitutive_phenopowerlaw_label)
constitutive_deltaState(ipc,ip,el)%p = constitutive_phenopowerlaw_deltaState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
case (constitutive_titanmod_label)
constitutive_deltaState(ipc,ip,el)%p = constitutive_titanmod_deltaState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
case (constitutive_dislotwin_label)
constitutive_deltaState(ipc,ip,el)%p = constitutive_dislotwin_deltaState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
case (constitutive_nonlocal_label)
constitutive_deltaState(ipc,ip,el)%p = constitutive_nonlocal_deltaState(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 (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
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