!--------------------------------------------------------------------------------------------------
! $Id$
!--------------------------------------------------------------------------------------------------
!> @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, &
constitutive_damage_maxSizePostResults, &
constitutive_damage_maxSizeDotState, &
constitutive_thermal_maxSizePostResults, &
constitutive_thermal_maxSizeDotState
public :: &
constitutive_init, &
constitutive_homogenizedC, &
constitutive_microstructure, &
constitutive_LpAndItsTangent, &
constitutive_TandItsTangent, &
constitutive_collectDotState, &
constitutive_collectDeltaState, &
constitutive_getLocalDamage, &
constitutive_putLocalDamage, &
constitutive_getDamage, &
constitutive_getAdiabaticTemperature, &
constitutive_putAdiabaticTemperature, &
constitutive_getTemperature, &
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_damage, &
phase_damageInstance, &
phase_thermal, &
phase_thermalInstance, &
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, &
LOCAL_DAMAGE_NONE_ID, &
LOCAL_DAMAGE_BRITTLE_ID, &
LOCAL_DAMAGE_DUCTILE_ID, &
LOCAL_THERMAL_ISOTHERMAL_ID, &
LOCAL_THERMAL_HEATGEN_ID, &
LOCAL_DAMAGE_NONE_label, &
LOCAL_DAMAGE_BRITTLE_label, &
LOCAL_DAMAGE_DUCTILE_label, &
LOCAL_THERMAL_ISOTHERMAL_label, &
LOCAL_THERMAL_HEATGEN_label, &
plasticState, &
damageState, &
thermalState, &
mappingConstitutive
use constitutive_none
use constitutive_j2
use constitutive_phenopowerlaw
use constitutive_dislotwin
use constitutive_dislokmc
use constitutive_titanmod
use constitutive_nonlocal
use damage_none
use damage_brittle
use damage_ductile
use thermal_isothermal
use thermal_heatGen
implicit none
integer(pInt), parameter :: FILEUNIT = 200_pInt
integer(pInt) :: &
e, & !< maximum number of elements
phase, &
instance
integer(pInt), dimension(:,:), pointer :: thisSize
integer(pInt), dimension(:) , pointer :: thisNoutput
character(len=64), dimension(:,:), pointer :: thisOutput
character(len=32) :: outputName !< name of output, intermediate fix until HDF5 output is ready
logical :: knownPlasticity, knownDamage, knownThermal, 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)
!--------------------------------------------------------------------------------------------------
! parse damage 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_damage == LOCAL_DAMAGE_NONE_ID)) call damage_none_init(FILEUNIT)
if (any(phase_damage == LOCAL_DAMAGE_BRITTLE_ID)) call damage_brittle_init(FILEUNIT)
if (any(phase_damage == LOCAL_DAMAGE_DUCTILE_ID)) call damage_ductile_init(FILEUNIT)
close(FILEUNIT)
!--------------------------------------------------------------------------------------------------
! parse thermal 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_thermal == LOCAL_THERMAL_ISOTHERMAL_ID)) call thermal_isothermal_init(FILEUNIT)
if (any(phase_thermal == LOCAL_THERMAL_HEATGEN_ID)) call thermal_heatGen_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
thisNoutput => null()
thisOutput => null() ! constitutive_none_output
thisSize => null() ! constitutive_none_sizePostResult
case (PLASTICITY_J2_ID)
outputName = PLASTICITY_J2_label
thisNoutput => constitutive_j2_Noutput
thisOutput => constitutive_j2_output
thisSize => constitutive_j2_sizePostResult
case (PLASTICITY_PHENOPOWERLAW_ID)
outputName = PLASTICITY_PHENOPOWERLAW_label
thisNoutput => constitutive_phenopowerlaw_Noutput
thisOutput => constitutive_phenopowerlaw_output
thisSize => constitutive_phenopowerlaw_sizePostResult
case (PLASTICITY_DISLOTWIN_ID)
outputName = PLASTICITY_DISLOTWIN_label
thisNoutput => constitutive_dislotwin_Noutput
thisOutput => constitutive_dislotwin_output
thisSize => constitutive_dislotwin_sizePostResult
case (PLASTICITY_DISLOKMC_ID)
outputName = PLASTICITY_DISLOKMC_label
thisNoutput => constitutive_dislokmc_Noutput
thisOutput => constitutive_dislokmc_output
thisSize => constitutive_dislokmc_sizePostResult
case (PLASTICITY_TITANMOD_ID)
outputName = PLASTICITY_TITANMOD_label
thisNoutput => constitutive_titanmod_Noutput
thisOutput => constitutive_titanmod_output
thisSize => constitutive_titanmod_sizePostResult
case (PLASTICITY_NONLOCAL_ID)
outputName = PLASTICITY_NONLOCAL_label
thisNoutput => constitutive_nonlocal_Noutput
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,thisNoutput(instance)
write(FILEUNIT,'(a,i4)') trim(thisOutput(e,instance))//char(9),thisSize(e,instance)
enddo
endif
endif
#ifdef multiphysicsOut
instance = phase_damageInstance(phase) ! which instance of a plasticity is present phase
knownDamage = .true.
select case(phase_damage(phase)) ! split per constititution
case (LOCAL_DAMAGE_none_ID)
outputName = LOCAL_DAMAGE_NONE_label
thisNoutput => null()
thisOutput => null()
thisSize => null()
case (LOCAL_DAMAGE_BRITTLE_ID)
outputName = LOCAL_DAMAGE_BRITTLE_label
thisNoutput => damage_brittle_Noutput
thisOutput => damage_brittle_output
thisSize => damage_brittle_sizePostResult
case (LOCAL_DAMAGE_DUCTILE_ID)
outputName = LOCAL_DAMAGE_DUCTILE_label
thisNoutput => damage_ductile_Noutput
thisOutput => damage_ductile_output
thisSize => damage_ductile_sizePostResult
case default
knownDamage = .false.
end select
if (knownDamage) then
write(FILEUNIT,'(a)') '(damage)'//char(9)//trim(outputName)
if (phase_damage(phase) /= LOCAL_DAMAGE_none_ID) then
do e = 1_pInt,thisNoutput(instance)
write(FILEUNIT,'(a,i4)') trim(thisOutput(e,instance))//char(9),thisSize(e,instance)
enddo
endif
endif
instance = phase_thermalInstance(phase) ! which instance is present phase
knownThermal = .true.
select case(phase_thermal(phase)) ! split per constititution
case (LOCAL_THERMAL_ISOTHERMAL_ID)
outputName = LOCAL_THERMAL_ISOTHERMAL_label
thisNoutput => null()
thisOutput => null()
thisSize => null()
case (LOCAL_THERMAL_heatgen_ID)
outputName = LOCAL_THERMAL_HEATGEN_label
thisNoutput => thermal_heatGen_Noutput
thisOutput => thermal_heatGen_output
thisSize => thermal_heatGen_sizePostResult
case default
knownThermal = .false.
end select
if (knownThermal) then
write(FILEUNIT,'(a)') '(thermal)'//char(9)//trim(outputName)
if (phase_thermal(phase) /= LOCAL_THERMAL_ISOTHERMAL_ID) then
do e = 1_pInt,thisNoutput(instance)
write(FILEUNIT,'(a,i4)') trim(thisOutput(e,instance))//char(9),thisSize(e,instance)
enddo
endif
endif
#endif
enddo
close(FILEUNIT)
constitutive_maxSizeDotState = 0_pInt
constitutive_maxSizePostResults = 0_pInt
constitutive_damage_maxSizePostResults = 0_pInt
constitutive_damage_maxSizeDotState = 0_pInt
constitutive_thermal_maxSizePostResults = 0_pInt
constitutive_thermal_maxSizeDotState = 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)
damageState(phase)%partionedState0 = damageState(phase)%State0
damageState(phase)%State = damageState(phase)%State0
constitutive_damage_maxSizeDotState = max(constitutive_damage_maxSizeDotState, damageState(phase)%sizeDotState)
constitutive_damage_maxSizePostResults = max(constitutive_damage_maxSizePostResults, damageState(phase)%sizePostResults)
thermalState(phase)%partionedState0 = thermalState(phase)%State0
thermalState(phase)%State = thermalState(phase)%State0
constitutive_thermal_maxSizeDotState = max(constitutive_thermal_maxSizeDotState, thermalState(phase)%sizeDotState)
constitutive_thermal_maxSizePostResults = max(constitutive_thermal_maxSizePostResults, thermalState(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
!--------------------------------------------------------------------------------------------------
! report
constitutive_maxSizeState = maxval(constitutive_sizeState)
constitutive_maxSizeDotState = maxval(constitutive_sizeDotState)
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, Tstar_v, Fe, Fp, ipc, ip, el)
use prec, only: &
pReal
use material, only: &
phase_plasticity, &
phase_damage, &
material_phase, &
PLASTICITY_DISLOTWIN_ID, &
PLASTICITY_DISLOKMC_ID, &
PLASTICITY_TITANMOD_ID, &
PLASTICITY_NONLOCAL_ID, &
LOCAL_DAMAGE_BRITTLE_ID, &
LOCAL_DAMAGE_DUCTILE_ID
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
use damage_brittle, only: &
damage_brittle_microstructure
use damage_ductile, only: &
damage_ductile_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(6) :: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor (Mandel)
real(pReal), intent(in), dimension(3,3) :: &
Fe, & !< elastic deformation gradient
Fp !< plastic deformation gradient
real(pReal) :: damage, Tstar_v_effective(6)
damage = constitutive_getDamage(ipc,ip,el)
Tstar_v_effective = Tstar_v/(damage*damage)
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
select case (phase_damage(material_phase(ipc,ip,el)))
case (LOCAL_DAMAGE_BRITTLE_ID)
call damage_brittle_microstructure(Tstar_v_effective, Fe, ipc, ip, el)
case (LOCAL_DAMAGE_DUCTILE_ID)
call damage_ductile_microstructure(Tstar_v_effective, 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 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_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)
real(pReal) :: damage, Tstar_v_effective(6)
damage = constitutive_getDamage(ipc,ip,el)
Tstar_v_effective = Tstar_v/(damage*damage)
select case (phase_plasticity(material_phase(ipc,ip,el)))
case (PLASTICITY_NONE_ID)
Lp = 0.0_pReal
dLp_dTstar = 0.0_pReal
case (PLASTICITY_J2_ID)
call constitutive_j2_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v_effective,ipc,ip,el)
case (PLASTICITY_PHENOPOWERLAW_ID)
call constitutive_phenopowerlaw_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v_effective,ipc,ip,el)
case (PLASTICITY_NONLOCAL_ID)
call constitutive_nonlocal_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v_effective,temperature,ip,el)
case (PLASTICITY_DISLOTWIN_ID)
call constitutive_dislotwin_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v_effective,temperature,ipc,ip,el)
case (PLASTICITY_DISLOKMC_ID)
call constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v_effective,temperature,ipc,ip,el)
case (PLASTICITY_TITANMOD_ID)
call constitutive_titanmod_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v_effective,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_trace33, &
math_I3
use material, only: &
mappingConstitutive
use lattice, only: &
lattice_referenceTemperature, &
lattice_thermalExpansion33
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) :: damage
real(pReal), dimension(3,3,3,3) :: C
damage = constitutive_getDamage(ipc,ip,el)
C = damage*damage*math_Mandel66to3333(constitutive_homogenizedC(ipc,ip,el))
T = math_mul3333xx33(C,0.5_pReal*(math_mul33x33(math_transpose33(Fe),Fe)-math_I3) - &
lattice_thermalExpansion33(1:3,1:3,mappingConstitutive(2,ipc,ip,el))* &
(constitutive_getTemperature(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) = sum(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, Lp, 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, &
phase_damage, &
phase_thermal, &
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, &
LOCAL_DAMAGE_BRITTLE_ID, &
LOCAL_DAMAGE_DUCTILE_ID, &
LOCAL_THERMAL_HEATGEN_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
use damage_brittle, only: &
damage_brittle_dotState
use damage_ductile, only: &
damage_ductile_dotState
use thermal_heatGen, only: &
thermal_heatGen_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)
real(pReal), intent(in), dimension(3,3) :: &
Lp !< plastic velocity gradient
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
select case (phase_damage(material_phase(ipc,ip,el)))
case (LOCAL_DAMAGE_BRITTLE_ID)
call damage_brittle_dotState(ipc, ip, el)
case (LOCAL_DAMAGE_DUCTILE_ID)
call damage_ductile_dotState(ipc, ip, el)
end select
select case (phase_thermal(material_phase(ipc,ip,el)))
case (LOCAL_THERMAL_HEATGEN_ID)
call thermal_heatGen_dotState(Tstar_v, Lp, 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
!$OMP END CRITICAL (debugTimingDotState)
endif
end subroutine constitutive_collectDotState
!--------------------------------------------------------------------------------------------------
!> @brief for constitutive models having an instantaneous change of state (so far, only nonlocal)
!> will return false if delta state is not needed/supported by the constitutive model
!--------------------------------------------------------------------------------------------------
logical function constitutive_collectDeltaState(Tstar_v, ipc, ip, el)
use prec, only: &
pReal, &
pLongInt
use debug, only: &
debug_cumDeltaStateCalls, &
debug_cumDeltaStateTicks, &
debug_level, &
debug_constitutive, &
debug_levelBasic
use material, only: &
phase_plasticity, &
material_phase, &
plasticState, &
mappingConstitutive, &
PLASTICITY_NONLOCAL_ID
use constitutive_nonlocal, only: &
constitutive_nonlocal_deltaState
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in), dimension(6) :: &
Tstar_v !< 2nd Piola-Kirchhoff stress
integer(pLongInt) :: &
tick, tock, &
tickrate, &
maxticks
if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) &
call system_clock(count=tick,count_rate=tickrate,count_max=maxticks)
select case (phase_plasticity(material_phase(ipc,ip,el)))
case (PLASTICITY_NONLOCAL_ID)
constitutive_collectDeltaState = .true.
call constitutive_nonlocal_deltaState(Tstar_v,ip,el)
case default
constitutive_collectDeltaState = .false.
end select
if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) then
call system_clock(count=tock,count_rate=tickrate,count_max=maxticks)
!$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 the local(unregularised) damage
!--------------------------------------------------------------------------------------------------
function constitutive_getLocalDamage(ipc, ip, el)
use prec, only: &
pReal
use material, only: &
material_phase, &
LOCAL_DAMAGE_none_ID, &
LOCAL_DAMAGE_BRITTLE_ID, &
LOCAL_DAMAGE_DUCTILE_ID, &
phase_damage
use damage_brittle, only: &
constitutive_brittle_getDamage
use damage_ductile, only: &
constitutive_ductile_getDamage
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal) :: constitutive_getLocalDamage
select case (phase_damage(material_phase(ipc,ip,el)))
case (LOCAL_DAMAGE_none_ID)
constitutive_getLocalDamage = 1.0_pReal
case (LOCAL_DAMAGE_BRITTLE_ID)
constitutive_getLocalDamage = constitutive_brittle_getDamage(ipc, ip, el)
case (LOCAL_DAMAGE_DUCTILE_ID)
constitutive_getLocalDamage = constitutive_ductile_getDamage(ipc, ip, el)
end select
end function constitutive_getLocalDamage
!--------------------------------------------------------------------------------------------------
!> @brief Returns the local(unregularised) damage
!--------------------------------------------------------------------------------------------------
subroutine constitutive_putLocalDamage(ipc, ip, el, localDamage)
use prec, only: &
pReal
use material, only: &
material_phase, &
LOCAL_DAMAGE_BRITTLE_ID, &
LOCAL_DAMAGE_DUCTILE_ID, &
phase_damage
use damage_brittle, only: &
constitutive_brittle_putDamage
use damage_ductile, only: &
constitutive_ductile_putDamage
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in) :: &
localDamage
select case (phase_damage(material_phase(ipc,ip,el)))
case (LOCAL_DAMAGE_BRITTLE_ID)
call constitutive_brittle_putDamage(ipc, ip, el, localDamage)
case (LOCAL_DAMAGE_DUCTILE_ID)
call constitutive_ductile_putDamage(ipc, ip, el, localDamage)
end select
end subroutine constitutive_putLocalDamage
!--------------------------------------------------------------------------------------------------
!> @brief returns nonlocal (regularised) damage
!--------------------------------------------------------------------------------------------------
function constitutive_getDamage(ipc, ip, el)
use prec, only: &
pReal
use material, only: &
material_homog, &
mappingHomogenization, &
fieldDamage, &
field_damage_type, &
FIELD_DAMAGE_LOCAL_ID, &
FIELD_DAMAGE_NONLOCAL_ID
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal) :: constitutive_getDamage
select case(field_damage_type(material_homog(ip,el)))
case (FIELD_DAMAGE_LOCAL_ID)
constitutive_getDamage = constitutive_getLocalDamage(ipc, ip, el)
case (FIELD_DAMAGE_NONLOCAL_ID)
constitutive_getDamage = fieldDamage(material_homog(ip,el))% &
field(1,mappingHomogenization(1,ip,el)) ! Taylor type
end select
end function constitutive_getDamage
!--------------------------------------------------------------------------------------------------
!> @brief returns local (unregularised) temperature
!--------------------------------------------------------------------------------------------------
function constitutive_getAdiabaticTemperature(ipc, ip, el)
use prec, only: &
pReal
use material, only: &
material_phase, &
LOCAL_THERMAL_ISOTHERMAL_ID, &
LOCAL_THERMAL_HEATGEN_ID, &
phase_thermal
use thermal_heatGen, only: &
thermal_heatGen_getTemperature
use lattice, only: &
lattice_referenceTemperature
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal) :: constitutive_getAdiabaticTemperature
select case (phase_thermal(material_phase(ipc,ip,el)))
case (LOCAL_THERMAL_ISOTHERMAL_ID)
constitutive_getAdiabaticTemperature = lattice_referenceTemperature(material_phase(ipc,ip,el))
case (LOCAL_THERMAL_HEATGEN_ID)
constitutive_getAdiabaticTemperature = thermal_heatGen_getTemperature(ipc, ip, el)
end select
end function constitutive_getAdiabaticTemperature
!--------------------------------------------------------------------------------------------------
!> @brief Returns the local(unregularised) damage
!--------------------------------------------------------------------------------------------------
subroutine constitutive_putAdiabaticTemperature(ipc, ip, el, localTemperature)
use prec, only: &
pReal
use material, only: &
material_phase, &
LOCAL_THERMAL_HEATGEN_ID, &
phase_thermal
use thermal_heatGen, only: &
thermal_heatGen_putTemperature
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in) :: &
localTemperature
select case (phase_thermal(material_phase(ipc,ip,el)))
case (LOCAL_THERMAL_HEATGEN_ID)
call thermal_heatGen_putTemperature(ipc, ip, el, localTemperature)
end select
end subroutine constitutive_putAdiabaticTemperature
!--------------------------------------------------------------------------------------------------
!> @brief returns nonlocal (regularised) temperature
!--------------------------------------------------------------------------------------------------
function constitutive_getTemperature(ipc, ip, el)
use prec, only: &
pReal
use material, only: &
mappingHomogenization, &
material_phase, &
fieldThermal, &
field_thermal_type, &
FIELD_THERMAL_ADIABATIC_ID, &
FIELD_THERMAL_CONDUCTION_ID, &
material_homog
use lattice, only: &
lattice_referenceTemperature
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal) :: constitutive_getTemperature
select case(field_thermal_type(material_homog(ip,el)))
case (FIELD_THERMAL_ADIABATIC_ID)
constitutive_getTemperature = constitutive_getAdiabaticTemperature(ipc, ip, el)
case (FIELD_THERMAL_CONDUCTION_ID)
constitutive_getTemperature = fieldThermal(material_homog(ip,el))% &
field(1,mappingHomogenization(1,ip,el)) ! Taylor type
end select
end function constitutive_getTemperature
!--------------------------------------------------------------------------------------------------
!> @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, &
damageState, &
thermalState, &
phase_plasticity, &
phase_damage, &
phase_thermal, &
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, &
LOCAL_DAMAGE_BRITTLE_ID, &
LOCAL_DAMAGE_DUCTILE_ID, &
LOCAL_THERMAL_HEATGEN_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
#ifdef multiphysicsOut
use damage_brittle, only: &
damage_brittle_postResults
use damage_ductile, only: &
damage_ductile_postResults
use thermal_heatGen, only: &
thermal_heatGen_postResults
#endif
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
#ifdef multiphysicsOut
real(pReal), dimension(plasticState(material_phase(ipc,ip,el))%sizePostResults + &
damageState( material_phase(ipc,ip,el))%sizePostResults + &
thermalState(material_phase(ipc,ip,el))%sizePostResults) :: &
constitutive_postResults
#else
real(pReal), dimension(plasticState(material_phase(ipc,ip,el))%sizePostResults) :: &
constitutive_postResults
#endif
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)
real(pReal) :: damage, Tstar_v_effective(6)
integer(pInt) :: startPos, endPos
damage = constitutive_getDamage(ipc,ip,el)
Tstar_v_effective = damage*damage*Tstar_v
constitutive_postResults = 0.0_pReal
startPos = 1_pInt
endPos = plasticState(material_phase(ipc,ip,el))%sizePostResults
select case (phase_plasticity(material_phase(ipc,ip,el)))
case (PLASTICITY_TITANMOD_ID)
constitutive_postResults(startPos:endPos) = constitutive_titanmod_postResults(ipc,ip,el)
case (PLASTICITY_J2_ID)
constitutive_postResults(startPos:endPos) = constitutive_j2_postResults(Tstar_v_effective,ipc,ip,el)
case (PLASTICITY_PHENOPOWERLAW_ID)
constitutive_postResults(startPos:endPos) = &
constitutive_phenopowerlaw_postResults(Tstar_v_effective,ipc,ip,el)
case (PLASTICITY_DISLOTWIN_ID)
constitutive_postResults(startPos:endPos) = &
constitutive_dislotwin_postResults(Tstar_v_effective,Temperature,ipc,ip,el)
case (PLASTICITY_DISLOKMC_ID)
constitutive_postResults(startPos:endPos) = &
constitutive_dislokmc_postResults(Tstar_v_effective,Temperature,ipc,ip,el)
case (PLASTICITY_NONLOCAL_ID)
constitutive_postResults(startPos:endPos) = &
constitutive_nonlocal_postResults (Tstar_v_effective,FeArray,ip,el)
end select
#ifdef multiphysicsOut
startPos = endPos + 1_pInt
endPos = endPos + damageState(material_phase(ipc,ip,el))%sizePostResults
select case (phase_damage(material_phase(ipc,ip,el)))
case (LOCAL_DAMAGE_BRITTLE_ID)
constitutive_postResults(startPos:endPos) = damage_brittle_postResults(ipc, ip, el)
case (LOCAL_DAMAGE_DUCTILE_ID)
constitutive_postResults(startPos:endPos) = damage_ductile_postResults(ipc, ip, el)
end select
startPos = endPos + 1_pInt
endPos = endPos + thermalState(material_phase(ipc,ip,el))%sizePostResults
select case (phase_thermal(material_phase(ipc,ip,el)))
case (LOCAL_THERMAL_HEATGEN_ID)
constitutive_postResults(startPos:endPos) = thermal_heatGen_postResults(ipc, ip, el)
end select
#endif
end function constitutive_postResults
end module constitutive