750 lines
33 KiB
Fortran
750 lines
33 KiB
Fortran
!--------------------------------------------------------------------------------------------------
|
|
! $Id$
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @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
|
|
|
|
implicit none
|
|
private
|
|
integer(pInt), public, protected :: &
|
|
constitutive_maxSizePostResults, &
|
|
constitutive_maxSizeDotState
|
|
|
|
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
|
|
#ifdef HDF
|
|
use hdf5, only: &
|
|
HID_T
|
|
use IO, only : &
|
|
HDF5_mappingConstitutive
|
|
#endif
|
|
|
|
use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
|
|
use prec, only: &
|
|
pReal
|
|
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_DISLOKMC_ID, &
|
|
PLASTICITY_TITANMOD_ID, &
|
|
PLASTICITY_NONLOCAL_ID ,&
|
|
ELASTICITY_HOOKE_label, &
|
|
PLASTICITY_NONE_label, &
|
|
PLASTICITY_J2_label, &
|
|
PLASTICITY_PHENOPOWERLAW_label, &
|
|
PLASTICITY_DISLOTWIN_label, &
|
|
PLASTICITY_DISLOKMC_label, &
|
|
PLASTICITY_TITANMOD_label, &
|
|
PLASTICITY_NONLOCAL_label, &
|
|
plasticState, &
|
|
mappingConstitutive
|
|
|
|
|
|
use constitutive_none
|
|
use constitutive_j2
|
|
use constitutive_phenopowerlaw
|
|
use constitutive_dislotwin
|
|
use constitutive_dislokmc
|
|
use constitutive_titanmod
|
|
use constitutive_nonlocal
|
|
implicit none
|
|
integer(pInt), parameter :: FILEUNIT = 200_pInt
|
|
integer(pInt) :: &
|
|
e, & !< maximum number of elements
|
|
phase, &
|
|
instance
|
|
|
|
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
|
|
if (any(phase_plasticity == PLASTICITY_NONE_ID)) call constitutive_none_init(FILEUNIT)
|
|
if (any(phase_plasticity == PLASTICITY_J2_ID)) call constitutive_j2_init(FILEUNIT)
|
|
if (any(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID)) call constitutive_phenopowerlaw_init(FILEUNIT)
|
|
if (any(phase_plasticity == PLASTICITY_DISLOTWIN_ID)) call constitutive_dislotwin_init(FILEUNIT)
|
|
if (any(phase_plasticity == PLASTICITY_DISLOKMC_ID)) call constitutive_dislokmc_init(FILEUNIT)
|
|
if (any(phase_plasticity == PLASTICITY_TITANMOD_ID)) call constitutive_titanmod_init(FILEUNIT)
|
|
if (any(phase_plasticity == PLASTICITY_NONLOCAL_ID)) then
|
|
call constitutive_nonlocal_init(FILEUNIT)
|
|
call constitutive_nonlocal_stateInit()
|
|
endif
|
|
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_DISLOKMC_ID)
|
|
outputName = PLASTICITY_DISLOKMC_label
|
|
thisOutput => constitutive_dislokmc_output
|
|
thisSize => constitutive_dislokmc_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)
|
|
if (phase_plasticity(phase) /= PLASTICITY_NONE_ID) then
|
|
do e = 1_pInt,phase_Noutput(phase)
|
|
write(FILEUNIT,'(a,i4)') trim(thisOutput(e,instance))//char(9),thisSize(e,instance)
|
|
enddo
|
|
endif
|
|
endif
|
|
enddo
|
|
close(FILEUNIT)
|
|
|
|
constitutive_maxSizeDotState = 0_pInt
|
|
constitutive_maxSizePostResults = 0_pInt
|
|
|
|
PhaseLoop2:do phase = 1_pInt,material_Nphase
|
|
plasticState(phase)%partionedState0 = plasticState(phase)%State0
|
|
plasticState(phase)%State = plasticState(phase)%State0
|
|
constitutive_maxSizeDotState = max(constitutive_maxSizeDotState, plasticState(phase)%sizeDotState)
|
|
constitutive_maxSizePostResults = max(constitutive_maxSizePostResults, plasticState(phase)%sizePostResults)
|
|
enddo PhaseLoop2
|
|
|
|
#ifdef HDF
|
|
call HDF5_mappingConstitutive(mappingConstitutive)
|
|
do phase = 1_pInt,material_Nphase
|
|
instance = phase_plasticityInstance(phase) ! which instance of a plasticity is present phase
|
|
select case(phase_plasticity(phase)) ! split per constititution
|
|
case (PLASTICITY_NONE_ID)
|
|
case (PLASTICITY_J2_ID)
|
|
end select
|
|
enddo
|
|
#endif
|
|
|
|
#ifdef TODO
|
|
!--------------------------------------------------------------------------------------------------
|
|
! 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)
|
|
#endif
|
|
|
|
|
|
end subroutine constitutive_init
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns the homogenize elasticity matrix
|
|
!--------------------------------------------------------------------------------------------------
|
|
function constitutive_homogenizedC(ipc,ip,el)
|
|
use prec, only: &
|
|
pReal
|
|
use material, only: &
|
|
phase_plasticity, &
|
|
material_phase, &
|
|
PLASTICITY_TITANMOD_ID, &
|
|
PLASTICITY_DISLOTWIN_ID, &
|
|
PLASTICITY_DISLOKMC_ID, &
|
|
plasticState,&
|
|
mappingConstitutive
|
|
|
|
use constitutive_titanmod, only: &
|
|
constitutive_titanmod_homogenizedC
|
|
use constitutive_dislotwin, only: &
|
|
constitutive_dislotwin_homogenizedC
|
|
use constitutive_dislokmc, only: &
|
|
constitutive_dislokmc_homogenizedC
|
|
use lattice, only: &
|
|
lattice_C66
|
|
|
|
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_DISLOTWIN_ID)
|
|
constitutive_homogenizedC = constitutive_dislotwin_homogenizedC(ipc,ip,el)
|
|
case (PLASTICITY_DISLOKMC_ID)
|
|
constitutive_homogenizedC = constitutive_dislokmc_homogenizedC(ipc,ip,el)
|
|
case (PLASTICITY_TITANMOD_ID)
|
|
constitutive_homogenizedC = constitutive_titanmod_homogenizedC (ipc,ip,el)
|
|
case default
|
|
constitutive_homogenizedC = lattice_C66(1:6,1:6,material_phase (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 prec, only: &
|
|
pReal
|
|
use material, only: &
|
|
phase_plasticity, &
|
|
material_phase, &
|
|
PLASTICITY_DISLOTWIN_ID, &
|
|
PLASTICITY_DISLOKMC_ID, &
|
|
PLASTICITY_TITANMOD_ID, &
|
|
PLASTICITY_NONLOCAL_ID, &
|
|
plasticState, &
|
|
mappingConstitutive
|
|
|
|
use constitutive_titanmod, only: &
|
|
constitutive_titanmod_microstructure
|
|
use constitutive_nonlocal, only: &
|
|
constitutive_nonlocal_microstructure
|
|
use constitutive_dislotwin, only: &
|
|
constitutive_dislotwin_microstructure
|
|
use constitutive_dislokmc, only: &
|
|
constitutive_dislokmc_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,ipc,ip,el)
|
|
case (PLASTICITY_DISLOKMC_ID)
|
|
call constitutive_dislokmc_microstructure(temperature,ipc,ip,el)
|
|
case (PLASTICITY_TITANMOD_ID)
|
|
call constitutive_titanmod_microstructure (temperature,ipc,ip,el)
|
|
case (PLASTICITY_NONLOCAL_ID)
|
|
call constitutive_nonlocal_microstructure (Fe,Fp, 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 prec, only: &
|
|
pReal
|
|
use math, only: &
|
|
math_identity2nd
|
|
use material, only: &
|
|
phase_plasticity, &
|
|
material_phase, &
|
|
plasticState,&
|
|
mappingConstitutive, &
|
|
PLASTICITY_NONE_ID, &
|
|
PLASTICITY_J2_ID, &
|
|
PLASTICITY_PHENOPOWERLAW_ID, &
|
|
PLASTICITY_DISLOTWIN_ID, &
|
|
PLASTICITY_DISLOKMC_ID, &
|
|
PLASTICITY_TITANMOD_ID, &
|
|
PLASTICITY_NONLOCAL_ID
|
|
use constitutive_damage, only: &
|
|
constitutive_damageValue
|
|
use constitutive_j2, only: &
|
|
constitutive_j2_LpAndItsTangent
|
|
use constitutive_phenopowerlaw, only: &
|
|
constitutive_phenopowerlaw_LpAndItsTangent
|
|
use constitutive_dislotwin, only: &
|
|
constitutive_dislotwin_LpAndItsTangent
|
|
use constitutive_dislokmc, only: &
|
|
constitutive_dislokmc_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,ipc,ip,el)
|
|
case (PLASTICITY_PHENOPOWERLAW_ID)
|
|
call constitutive_phenopowerlaw_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,ipc,ip,el)
|
|
case (PLASTICITY_NONLOCAL_ID)
|
|
call constitutive_nonlocal_LpAndItsTangent (Lp,dLp_dTstar,Tstar_v,temperature, ip,el)
|
|
case (PLASTICITY_DISLOTWIN_ID)
|
|
call constitutive_dislotwin_LpAndItsTangent (Lp,dLp_dTstar,Tstar_v,temperature,ipc,ip,el)
|
|
case (PLASTICITY_DISLOKMC_ID)
|
|
call constitutive_dislokmc_LpAndItsTangent (Lp,dLp_dTstar,Tstar_v,temperature,ipc,ip,el)
|
|
case (PLASTICITY_TITANMOD_ID)
|
|
call constitutive_titanmod_LpAndItsTangent (Lp,dLp_dTstar,Tstar_v,temperature,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
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine constitutive_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el)
|
|
use prec, only: &
|
|
pReal
|
|
|
|
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
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine constitutive_hooke_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el)
|
|
use prec, only: &
|
|
pReal
|
|
use math, only : &
|
|
math_mul3x3, &
|
|
math_mul33x33, &
|
|
math_mul3333xx33, &
|
|
math_Mandel66to3333, &
|
|
math_transpose33, &
|
|
MATH_I3, &
|
|
math_trace33
|
|
use material, only: &
|
|
mappingConstitutive
|
|
use lattice, only: &
|
|
lattice_referenceTemperature, &
|
|
lattice_thermalExpansion33
|
|
use constitutive_damage, only: &
|
|
constitutive_damageValue
|
|
use constitutive_thermal, only: &
|
|
constitutive_temperature
|
|
|
|
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,strain, CxxDel, CxxDel_undamaged
|
|
real(pReal), dimension(3,3,3,3) :: C, C_undamged
|
|
real(pReal) :: strain_trace
|
|
|
|
C_undamged = math_Mandel66to3333(constitutive_homogenizedC(ipc,ip,el))
|
|
C = constitutive_damageValue(ipc,ip,el)*&
|
|
math_Mandel66to3333(constitutive_homogenizedC(ipc,ip,el))
|
|
|
|
FeT = math_transpose33(Fe)
|
|
strain = 0.5_pReal*(math_mul33x33(FeT,Fe)-MATH_I3)
|
|
strain_trace = math_trace33(strain)
|
|
|
|
|
|
if(strain_trace>=0.0_pReal) then
|
|
T = math_mul3333xx33(C,strain) - &
|
|
lattice_thermalExpansion33(1:3,1:3,mappingConstitutive(2,ipc,ip,el))* &
|
|
(constitutive_temperature(ipc,ip,el) - &
|
|
lattice_referenceTemperature(mappingConstitutive(2,ipc,ip,el)))
|
|
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
|
|
else
|
|
strain = strain - (strain_trace/3)*math_I3 ! removing (negative) volumetric part
|
|
|
|
T = math_mul3333xx33(C,strain) + &
|
|
math_mul3333xx33(C_undamged,((strain_trace/3)*math_I3 )) - &
|
|
lattice_thermalExpansion33(1:3,1:3,mappingConstitutive(2,ipc,ip,el))* &
|
|
(constitutive_temperature(ipc,ip,el) - &
|
|
lattice_referenceTemperature(mappingConstitutive(2,ipc,ip,el)))
|
|
CxxDel = math_mul3333xx33(C,math_I3) ! temporary variable C_ijxy * del_xy (damaged part)
|
|
CxxDel_undamaged = math_mul3333xx33(C_undamged,math_I3) ! temporary variable C_ijxy * del_xy (Undamaged part)
|
|
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)) - &
|
|
0.5*CxxDel(i,j)*Fe(k,l) + &
|
|
0.5*CxxDel_undamaged(i,j)*Fe(k,l) ! dT*_ij/dFe_kl = C_ijlt*Fe_kt - 0.5*Cxxdel_ij*Fe_kl
|
|
endif
|
|
end subroutine constitutive_hooke_TandItsTangent
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief contains the constitutive equation for calculating the rate of change of microstructure
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine constitutive_collectDotState(Tstar_v, FeArray, FpArray, Temperature, subdt, subfracArray,&
|
|
ipc, ip, el)
|
|
use prec, only: &
|
|
pReal, &
|
|
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, &
|
|
plasticState, &
|
|
mappingConstitutive, &
|
|
material_phase, &
|
|
homogenization_maxNgrains, &
|
|
PLASTICITY_NONE_ID, &
|
|
PLASTICITY_J2_ID, &
|
|
PLASTICITY_PHENOPOWERLAW_ID, &
|
|
PLASTICITY_DISLOTWIN_ID, &
|
|
PLASTICITY_DISLOKMC_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_dislokmc, only: &
|
|
constitutive_dislokmc_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) :: &
|
|
subfracArray !< subfraction of timestep
|
|
real(pReal), intent(in), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
|
|
FeArray, & !< elastic deformation gradient
|
|
FpArray !< 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_J2_ID)
|
|
call constitutive_j2_dotState (Tstar_v,ipc,ip,el)
|
|
case (PLASTICITY_PHENOPOWERLAW_ID)
|
|
call constitutive_phenopowerlaw_dotState(Tstar_v,ipc,ip,el)
|
|
case (PLASTICITY_DISLOTWIN_ID)
|
|
call constitutive_dislotwin_dotState (Tstar_v,Temperature,ipc,ip,el)
|
|
case (PLASTICITY_DISLOKMC_ID)
|
|
call constitutive_dislokmc_dotState (Tstar_v,Temperature,ipc,ip,el)
|
|
case (PLASTICITY_TITANMOD_ID)
|
|
call constitutive_titanmod_dotState (Tstar_v,Temperature,ipc,ip,el)
|
|
case (PLASTICITY_NONLOCAL_ID)
|
|
call constitutive_nonlocal_dotState (Tstar_v,FeArray,FpArray,Temperature, subdt, &
|
|
subfracArray,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
|
|
!$OMP END CRITICAL (debugTimingDotState)
|
|
endif
|
|
end subroutine constitutive_collectDotState
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief for constitutive models having an instantaneous change of state (so far, only nonlocal)
|
|
!> will return false if delta state is not needed/supported by the constitutive model
|
|
!--------------------------------------------------------------------------------------------------
|
|
logical function constitutive_collectDeltaState(Tstar_v, ipc, ip, el)
|
|
use prec, only: &
|
|
pReal, &
|
|
pLongInt
|
|
use debug, only: &
|
|
debug_cumDeltaStateCalls, &
|
|
debug_cumDeltaStateTicks, &
|
|
debug_level, &
|
|
debug_constitutive, &
|
|
debug_levelBasic
|
|
use material, only: &
|
|
phase_plasticity, &
|
|
material_phase, &
|
|
#ifdef NEWSTATE
|
|
plasticState, &
|
|
mappingConstitutive, &
|
|
#endif
|
|
PLASTICITY_NONLOCAL_ID
|
|
use constitutive_nonlocal, only: &
|
|
constitutive_nonlocal_deltaState
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
real(pReal), intent(in), dimension(6) :: &
|
|
Tstar_v !< 2nd Piola-Kirchhoff stress
|
|
integer(pLongInt) :: &
|
|
tick, tock, &
|
|
tickrate, &
|
|
maxticks
|
|
|
|
if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) &
|
|
call system_clock(count=tick,count_rate=tickrate,count_max=maxticks)
|
|
|
|
select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
|
|
case (PLASTICITY_NONLOCAL_ID)
|
|
constitutive_collectDeltaState = .true.
|
|
call constitutive_nonlocal_deltaState(Tstar_v,ip,el)
|
|
case default
|
|
constitutive_collectDeltaState = .false.
|
|
|
|
end select
|
|
|
|
if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) then
|
|
call system_clock(count=tock,count_rate=tickrate,count_max=maxticks)
|
|
!$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 function constitutive_collectDeltaState
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns array of constitutive results
|
|
!--------------------------------------------------------------------------------------------------
|
|
function constitutive_postResults(Tstar_v, FeArray, temperature, ipc, ip, el)
|
|
use prec, only: &
|
|
pReal
|
|
use mesh, only: &
|
|
mesh_NcpElems, &
|
|
mesh_maxNips
|
|
use material, only: &
|
|
plasticState, &
|
|
mappingConstitutive, &
|
|
phase_plasticity, &
|
|
material_phase, &
|
|
homogenization_maxNgrains, &
|
|
PLASTICITY_NONE_ID, &
|
|
PLASTICITY_J2_ID, &
|
|
PLASTICITY_PHENOPOWERLAW_ID, &
|
|
PLASTICITY_DISLOTWIN_ID, &
|
|
PLASTICITY_DISLOKMC_ID, &
|
|
PLASTICITY_TITANMOD_ID, &
|
|
PLASTICITY_NONLOCAL_ID
|
|
use constitutive_j2, only: &
|
|
#ifdef HDF
|
|
constitutive_j2_postResults2,&
|
|
#endif
|
|
constitutive_j2_postResults
|
|
use constitutive_phenopowerlaw, only: &
|
|
constitutive_phenopowerlaw_postResults
|
|
use constitutive_dislotwin, only: &
|
|
constitutive_dislotwin_postResults
|
|
use constitutive_dislokmc, only: &
|
|
constitutive_dislokmc_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(plasticState(material_phase(ipc,ip,el))%sizePostResults) :: &
|
|
constitutive_postResults
|
|
real(pReal), intent(in) :: &
|
|
temperature
|
|
real(pReal), intent(in), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
|
|
FeArray !< 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_TITANMOD_ID)
|
|
constitutive_postResults = constitutive_titanmod_postResults (ipc,ip,el)
|
|
case (PLASTICITY_J2_ID)
|
|
constitutive_postResults= constitutive_j2_postResults (Tstar_v,ipc,ip,el)
|
|
case (PLASTICITY_PHENOPOWERLAW_ID)
|
|
constitutive_postResults = constitutive_phenopowerlaw_postResults(Tstar_v,ipc,ip,el)
|
|
case (PLASTICITY_DISLOTWIN_ID)
|
|
constitutive_postResults = constitutive_dislotwin_postResults(Tstar_v,Temperature,ipc,ip,el)
|
|
case (PLASTICITY_DISLOKMC_ID)
|
|
constitutive_postResults = constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
|
|
case (PLASTICITY_NONLOCAL_ID)
|
|
constitutive_postResults = constitutive_nonlocal_postResults (Tstar_v,FeArray, ip,el)
|
|
end select
|
|
|
|
end function constitutive_postResults
|
|
|
|
|
|
end module constitutive
|