624 lines
31 KiB
Fortran
624 lines
31 KiB
Fortran
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
! $Id$
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
|
||
|
|
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
|
||
|
|
!> @brief material subroutine for isotropic (J2) plasticity
|
||
|
|
!> @details Isotropic (J2) Plasticity which resembles the phenopowerlaw plasticity without
|
||
|
|
!! resolving the stress on the slip systems. Will give the response of phenopowerlaw for an
|
||
|
|
!! untextured polycrystal
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
module plastic_j2
|
||
|
|
#ifdef HDF
|
||
|
|
use hdf5, only: &
|
||
|
|
HID_T
|
||
|
|
#endif
|
||
|
|
|
||
|
|
use prec, only: &
|
||
|
|
pReal,&
|
||
|
|
pInt
|
||
|
|
|
||
|
|
implicit none
|
||
|
|
private
|
||
|
|
integer(pInt), dimension(:), allocatable, public, protected :: &
|
||
|
|
plastic_j2_sizePostResults !< cumulative size of post results
|
||
|
|
|
||
|
|
integer(pInt), dimension(:,:), allocatable, target, public :: &
|
||
|
|
plastic_j2_sizePostResult !< size of each post result output
|
||
|
|
|
||
|
|
character(len=64), dimension(:,:), allocatable, target, public :: &
|
||
|
|
plastic_j2_output !< name of each post result output
|
||
|
|
|
||
|
|
integer(pInt), dimension(:), allocatable, target, public :: &
|
||
|
|
plastic_j2_Noutput !< number of outputs per instance
|
||
|
|
real(pReal), dimension(:), allocatable, private :: &
|
||
|
|
plastic_j2_fTaylor, & !< Taylor factor
|
||
|
|
plastic_j2_tau0, & !< initial plastic stress
|
||
|
|
plastic_j2_gdot0, & !< reference velocity
|
||
|
|
plastic_j2_n, & !< Visco-plastic parameter
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
! h0 as function of h0 = A + B log (gammadot)
|
||
|
|
plastic_j2_h0, &
|
||
|
|
plastic_j2_h0_slopeLnRate, &
|
||
|
|
plastic_j2_tausat, & !< final plastic stress
|
||
|
|
plastic_j2_a, &
|
||
|
|
plastic_j2_aTolResistance, &
|
||
|
|
plastic_j2_aTolShear, &
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
! tausat += (asinh((gammadot / SinhFitA)**(1 / SinhFitD)))**(1 / SinhFitC) / (SinhFitB * (gammadot / gammadot0)**(1/n))
|
||
|
|
plastic_j2_tausat_SinhFitA, & !< fitting parameter for normalized strain rate vs. stress function
|
||
|
|
plastic_j2_tausat_SinhFitB, & !< fitting parameter for normalized strain rate vs. stress function
|
||
|
|
plastic_j2_tausat_SinhFitC, & !< fitting parameter for normalized strain rate vs. stress function
|
||
|
|
plastic_j2_tausat_SinhFitD !< fitting parameter for normalized strain rate vs. stress function
|
||
|
|
|
||
|
|
enum, bind(c)
|
||
|
|
enumerator :: undefined_ID, &
|
||
|
|
flowstress_ID, &
|
||
|
|
strainrate_ID
|
||
|
|
end enum
|
||
|
|
integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: &
|
||
|
|
plastic_j2_outputID !< ID of each post result output
|
||
|
|
|
||
|
|
|
||
|
|
#ifdef HDF
|
||
|
|
type plastic_j2_tOutput
|
||
|
|
real(pReal), dimension(:), allocatable, private :: &
|
||
|
|
flowstress, &
|
||
|
|
strainrate
|
||
|
|
logical :: flowstressActive = .false., strainrateActive = .false. ! if we can write the output block wise, this is not needed anymore because we can do an if(allocated(xxx))
|
||
|
|
end type plastic_j2_tOutput
|
||
|
|
type(plastic_j2_tOutput), allocatable, dimension(:) :: plastic_j2_Output2
|
||
|
|
integer(HID_T), allocatable, dimension(:) :: outID
|
||
|
|
#endif
|
||
|
|
|
||
|
|
|
||
|
|
public :: &
|
||
|
|
plastic_j2_init, &
|
||
|
|
plastic_j2_LpAndItsTangent, &
|
||
|
|
plastic_j2_dotState, &
|
||
|
|
plastic_j2_getAccumulatedSlip, &
|
||
|
|
plastic_j2_postResults
|
||
|
|
|
||
|
|
contains
|
||
|
|
|
||
|
|
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
!> @brief module initialization
|
||
|
|
!> @details reads in material parameters, allocates arrays, and does sanity checks
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
subroutine plastic_j2_init(fileUnit)
|
||
|
|
use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
|
||
|
|
#ifdef HDF
|
||
|
|
use hdf5
|
||
|
|
#endif
|
||
|
|
use debug, only: &
|
||
|
|
debug_level, &
|
||
|
|
debug_constitutive, &
|
||
|
|
debug_levelBasic
|
||
|
|
use numerics, only: &
|
||
|
|
worldrank, &
|
||
|
|
numerics_integrator
|
||
|
|
use math, only: &
|
||
|
|
math_Mandel3333to66, &
|
||
|
|
math_Voigt66to3333
|
||
|
|
use IO, only: &
|
||
|
|
IO_read, &
|
||
|
|
IO_lc, &
|
||
|
|
IO_getTag, &
|
||
|
|
IO_isBlank, &
|
||
|
|
IO_stringPos, &
|
||
|
|
IO_stringValue, &
|
||
|
|
IO_floatValue, &
|
||
|
|
IO_error, &
|
||
|
|
IO_timeStamp, &
|
||
|
|
#ifdef HDF
|
||
|
|
tempResults, &
|
||
|
|
HDF5_addGroup, &
|
||
|
|
HDF5_addScalarDataset,&
|
||
|
|
#endif
|
||
|
|
IO_EOF
|
||
|
|
use material, only: &
|
||
|
|
homogenization_maxNgrains, &
|
||
|
|
phase_plasticity, &
|
||
|
|
phase_plasticityInstance, &
|
||
|
|
phase_Noutput, &
|
||
|
|
PLASTICITY_J2_label, &
|
||
|
|
PLASTICITY_J2_ID, &
|
||
|
|
material_phase, &
|
||
|
|
plasticState, &
|
||
|
|
MATERIAL_partPhase
|
||
|
|
|
||
|
|
use lattice
|
||
|
|
|
||
|
|
implicit none
|
||
|
|
integer(pInt), intent(in) :: fileUnit
|
||
|
|
|
||
|
|
integer(pInt), parameter :: MAXNCHUNKS = 7_pInt
|
||
|
|
|
||
|
|
integer(pInt), dimension(1_pInt+2_pInt*MAXNCHUNKS) :: positions
|
||
|
|
integer(pInt) :: &
|
||
|
|
o, &
|
||
|
|
phase, &
|
||
|
|
maxNinstance, &
|
||
|
|
instance, &
|
||
|
|
mySize, &
|
||
|
|
sizeDotState, &
|
||
|
|
sizeState
|
||
|
|
character(len=65536) :: &
|
||
|
|
tag = '', &
|
||
|
|
line = ''
|
||
|
|
integer(pInt) :: NofMyPhase
|
||
|
|
|
||
|
|
#ifdef HDF
|
||
|
|
character(len=5) :: &
|
||
|
|
str1
|
||
|
|
integer(HID_T) :: ID,ID2,ID4
|
||
|
|
#endif
|
||
|
|
|
||
|
|
mainProcess: if (worldrank == 0) then
|
||
|
|
write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_J2_label//' init -+>>>'
|
||
|
|
write(6,'(a)') ' $Id$'
|
||
|
|
write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
|
||
|
|
#include "compilation_info.f90"
|
||
|
|
endif mainProcess
|
||
|
|
|
||
|
|
maxNinstance = int(count(phase_plasticity == PLASTICITY_J2_ID),pInt)
|
||
|
|
if (maxNinstance == 0_pInt) return
|
||
|
|
|
||
|
|
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) &
|
||
|
|
write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
|
||
|
|
|
||
|
|
#ifdef HDF
|
||
|
|
allocate(plastic_j2_Output2(maxNinstance))
|
||
|
|
allocate(outID(maxNinstance))
|
||
|
|
#endif
|
||
|
|
|
||
|
|
allocate(plastic_j2_sizePostResults(maxNinstance), source=0_pInt)
|
||
|
|
allocate(plastic_j2_sizePostResult(maxval(phase_Noutput), maxNinstance),source=0_pInt)
|
||
|
|
allocate(plastic_j2_output(maxval(phase_Noutput), maxNinstance))
|
||
|
|
plastic_j2_output = ''
|
||
|
|
allocate(plastic_j2_outputID(maxval(phase_Noutput),maxNinstance), source=undefined_ID)
|
||
|
|
allocate(plastic_j2_Noutput(maxNinstance), source=0_pInt)
|
||
|
|
allocate(plastic_j2_fTaylor(maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_tau0(maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_gdot0(maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_n(maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_h0(maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_h0_slopeLnRate(maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_tausat(maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_a(maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_aTolResistance(maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_aTolShear (maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_tausat_SinhFitA(maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_tausat_SinhFitB(maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_tausat_SinhFitC(maxNinstance), source=0.0_pReal)
|
||
|
|
allocate(plastic_j2_tausat_SinhFitD(maxNinstance), source=0.0_pReal)
|
||
|
|
|
||
|
|
rewind(fileUnit)
|
||
|
|
phase = 0_pInt
|
||
|
|
do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= material_partPhase) ! wind forward to <phase>
|
||
|
|
line = IO_read(fileUnit)
|
||
|
|
enddo
|
||
|
|
|
||
|
|
parsingFile: do while (trim(line) /= IO_EOF) ! read through sections of phase part
|
||
|
|
line = IO_read(fileUnit)
|
||
|
|
if (IO_isBlank(line)) cycle ! skip empty lines
|
||
|
|
if (IO_getTag(line,'<','>') /= '') then ! stop at next part
|
||
|
|
line = IO_read(fileUnit, .true.) ! reset IO_read
|
||
|
|
exit
|
||
|
|
endif
|
||
|
|
if (IO_getTag(line,'[',']') /= '') then ! next section
|
||
|
|
phase = phase + 1_pInt ! advance section counter
|
||
|
|
if (phase_plasticity(phase) == PLASTICITY_J2_ID) then
|
||
|
|
instance = phase_plasticityInstance(phase)
|
||
|
|
#ifdef HDF
|
||
|
|
outID(instance)=HDF5_addGroup(str1,tempResults)
|
||
|
|
#endif
|
||
|
|
endif
|
||
|
|
cycle ! skip to next line
|
||
|
|
endif
|
||
|
|
if (phase > 0_pInt ) then; if (phase_plasticity(phase) == PLASTICITY_J2_ID) then ! one of my phases. Do not short-circuit here (.and. between if-statements), it's not safe in Fortran
|
||
|
|
instance = phase_plasticityInstance(phase) ! which instance of my plasticity is present phase
|
||
|
|
positions = IO_stringPos(line,MAXNCHUNKS)
|
||
|
|
tag = IO_lc(IO_stringValue(line,positions,1_pInt)) ! extract key
|
||
|
|
|
||
|
|
select case(tag)
|
||
|
|
case ('(output)')
|
||
|
|
select case(IO_lc(IO_stringValue(line,positions,2_pInt)))
|
||
|
|
case ('flowstress')
|
||
|
|
plastic_j2_Noutput(instance) = plastic_j2_Noutput(instance) + 1_pInt
|
||
|
|
plastic_j2_outputID(plastic_j2_Noutput(instance),instance) = flowstress_ID
|
||
|
|
plastic_j2_output(plastic_j2_Noutput(instance),instance) = &
|
||
|
|
IO_lc(IO_stringValue(line,positions,2_pInt))
|
||
|
|
#ifdef HDF
|
||
|
|
call HDF5_addScalarDataset(outID(instance),myConstituents,'flowstress','MPa')
|
||
|
|
allocate(plastic_j2_Output2(instance)%flowstress(myConstituents))
|
||
|
|
plastic_j2_Output2(instance)%flowstressActive = .true.
|
||
|
|
#endif
|
||
|
|
case ('strainrate')
|
||
|
|
plastic_j2_Noutput(instance) = plastic_j2_Noutput(instance) + 1_pInt
|
||
|
|
plastic_j2_outputID(plastic_j2_Noutput(instance),instance) = strainrate_ID
|
||
|
|
plastic_j2_output(plastic_j2_Noutput(instance),instance) = &
|
||
|
|
IO_lc(IO_stringValue(line,positions,2_pInt))
|
||
|
|
#ifdef HDF
|
||
|
|
call HDF5_addScalarDataset(outID(instance),myConstituents,'strainrate','1/s')
|
||
|
|
allocate(plastic_j2_Output2(instance)%strainrate(myConstituents))
|
||
|
|
plastic_j2_Output2(instance)%strainrateActive = .true.
|
||
|
|
#endif
|
||
|
|
case default
|
||
|
|
|
||
|
|
end select
|
||
|
|
case ('tau0')
|
||
|
|
plastic_j2_tau0(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
if (plastic_j2_tau0(instance) < 0.0_pReal) &
|
||
|
|
call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
|
||
|
|
case ('gdot0')
|
||
|
|
plastic_j2_gdot0(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
if (plastic_j2_gdot0(instance) <= 0.0_pReal) &
|
||
|
|
call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
|
||
|
|
case ('n')
|
||
|
|
plastic_j2_n(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
if (plastic_j2_n(instance) <= 0.0_pReal) &
|
||
|
|
call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
|
||
|
|
case ('h0')
|
||
|
|
plastic_j2_h0(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
case ('h0_slope','slopelnrate')
|
||
|
|
plastic_j2_h0_slopeLnRate(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
case ('tausat')
|
||
|
|
plastic_j2_tausat(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
if (plastic_j2_tausat(instance) <= 0.0_pReal) &
|
||
|
|
call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
|
||
|
|
case ('tausat_sinhfita')
|
||
|
|
plastic_j2_tausat_SinhFitA(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
case ('tausat_sinhfitb')
|
||
|
|
plastic_j2_tausat_SinhFitB(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
case ('tausat_sinhfitc')
|
||
|
|
plastic_j2_tausat_SinhFitC(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
case ('tausat_sinhfitd')
|
||
|
|
plastic_j2_tausat_SinhFitD(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
case ('a', 'w0')
|
||
|
|
plastic_j2_a(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
if (plastic_j2_a(instance) <= 0.0_pReal) &
|
||
|
|
call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
|
||
|
|
case ('taylorfactor')
|
||
|
|
plastic_j2_fTaylor(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
if (plastic_j2_fTaylor(instance) <= 0.0_pReal) &
|
||
|
|
call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
|
||
|
|
case ('atol_resistance')
|
||
|
|
plastic_j2_aTolResistance(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
if (plastic_j2_aTolResistance(instance) <= 0.0_pReal) &
|
||
|
|
call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
|
||
|
|
case ('atol_shear')
|
||
|
|
plastic_j2_aTolShear(instance) = IO_floatValue(line,positions,2_pInt)
|
||
|
|
|
||
|
|
case default
|
||
|
|
|
||
|
|
end select
|
||
|
|
endif; endif
|
||
|
|
enddo parsingFile
|
||
|
|
|
||
|
|
initializeInstances: do phase = 1_pInt, size(phase_plasticity)
|
||
|
|
myPhase: if (phase_plasticity(phase) == PLASTICITY_j2_ID) then
|
||
|
|
NofMyPhase=count(material_phase==phase)
|
||
|
|
instance = phase_plasticityInstance(phase)
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
! sanity checks
|
||
|
|
if (plastic_j2_aTolShear(instance) <= 0.0_pReal) &
|
||
|
|
plastic_j2_aTolShear(instance) = 1.0e-6_pReal ! default absolute tolerance 1e-6
|
||
|
|
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
! Determine size of postResults array
|
||
|
|
outputsLoop: do o = 1_pInt,plastic_j2_Noutput(instance)
|
||
|
|
select case(plastic_j2_outputID(o,instance))
|
||
|
|
case(flowstress_ID,strainrate_ID)
|
||
|
|
mySize = 1_pInt
|
||
|
|
case default
|
||
|
|
end select
|
||
|
|
|
||
|
|
outputFound: if (mySize > 0_pInt) then
|
||
|
|
plastic_j2_sizePostResult(o,instance) = mySize
|
||
|
|
plastic_j2_sizePostResults(instance) = &
|
||
|
|
plastic_j2_sizePostResults(instance) + mySize
|
||
|
|
endif outputFound
|
||
|
|
enddo outputsLoop
|
||
|
|
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
! allocate state arrays
|
||
|
|
sizeState = 2_pInt
|
||
|
|
sizeDotState = sizeState
|
||
|
|
plasticState(phase)%sizeState = sizeState
|
||
|
|
plasticState(phase)%sizeDotState = sizeDotState
|
||
|
|
plasticState(phase)%sizePostResults = plastic_j2_sizePostResults(instance)
|
||
|
|
allocate(plasticState(phase)%aTolState ( sizeState))
|
||
|
|
plasticState(phase)%aTolState(1) = plastic_j2_aTolResistance(instance)
|
||
|
|
plasticState(phase)%aTolState(2) = plastic_j2_aTolShear(instance)
|
||
|
|
allocate(plasticState(phase)%state0 ( sizeState,NofMyPhase))
|
||
|
|
plasticState(phase)%state0(1,1:NofMyPhase) = plastic_j2_tau0(instance)
|
||
|
|
plasticState(phase)%state0(2,1:NofMyPhase) = 0.0_pReal
|
||
|
|
allocate(plasticState(phase)%partionedState0 ( sizeState,NofMyPhase),source=0.0_pReal)
|
||
|
|
allocate(plasticState(phase)%subState0 ( sizeState,NofMyPhase),source=0.0_pReal)
|
||
|
|
allocate(plasticState(phase)%state ( sizeState,NofMyPhase),source=0.0_pReal)
|
||
|
|
allocate(plasticState(phase)%state_backup ( sizeState,NofMyPhase),source=0.0_pReal)
|
||
|
|
allocate(plasticState(phase)%dotState (sizeDotState,NofMyPhase),source=0.0_pReal)
|
||
|
|
allocate(plasticState(phase)%dotState_backup (sizeDotState,NofMyPhase),source=0.0_pReal)
|
||
|
|
if (any(numerics_integrator == 1_pInt)) then
|
||
|
|
allocate(plasticState(phase)%previousDotState (sizeDotState,NofMyPhase),source=0.0_pReal)
|
||
|
|
allocate(plasticState(phase)%previousDotState2(sizeDotState,NofMyPhase),source=0.0_pReal)
|
||
|
|
endif
|
||
|
|
if (any(numerics_integrator == 4_pInt)) &
|
||
|
|
allocate(plasticState(phase)%RK4dotState (sizeDotState,NofMyPhase),source=0.0_pReal)
|
||
|
|
if (any(numerics_integrator == 5_pInt)) &
|
||
|
|
allocate(plasticState(phase)%RKCK45dotState (6,sizeDotState,NofMyPhase),source=0.0_pReal)
|
||
|
|
|
||
|
|
endif myPhase
|
||
|
|
enddo initializeInstances
|
||
|
|
|
||
|
|
end subroutine plastic_j2_init
|
||
|
|
|
||
|
|
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
!> @brief calculates plastic velocity gradient and its tangent
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
subroutine plastic_j2_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,slipDamage,ipc,ip,el)
|
||
|
|
use math, only: &
|
||
|
|
math_mul6x6, &
|
||
|
|
math_Mandel6to33, &
|
||
|
|
math_Plain3333to99, &
|
||
|
|
math_deviatoric33, &
|
||
|
|
math_mul33xx33
|
||
|
|
use mesh, only: &
|
||
|
|
mesh_NcpElems, &
|
||
|
|
mesh_maxNips
|
||
|
|
use material, only: &
|
||
|
|
mappingConstitutive, &
|
||
|
|
plasticState, &
|
||
|
|
homogenization_maxNgrains, &
|
||
|
|
material_phase, &
|
||
|
|
phase_plasticityInstance
|
||
|
|
|
||
|
|
implicit none
|
||
|
|
real(pReal), dimension(3,3), intent(out) :: &
|
||
|
|
Lp !< plastic velocity gradient
|
||
|
|
real(pReal), dimension(9,9), intent(out) :: &
|
||
|
|
dLp_dTstar99 !< derivative of Lp with respect to 2nd Piola Kirchhoff stress
|
||
|
|
|
||
|
|
real(pReal), dimension(6), intent(in) :: &
|
||
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||
|
|
real(pReal), dimension(1), intent(in) :: &
|
||
|
|
slipDamage
|
||
|
|
integer(pInt), intent(in) :: &
|
||
|
|
ipc, & !< component-ID of integration point
|
||
|
|
ip, & !< integration point
|
||
|
|
el !< element
|
||
|
|
|
||
|
|
real(pReal), dimension(3,3) :: &
|
||
|
|
Tstar_dev_33 !< deviatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor
|
||
|
|
real(pReal), dimension(3,3,3,3) :: &
|
||
|
|
dLp_dTstar_3333 !< derivative of Lp with respect to Tstar as 4th order tensor
|
||
|
|
real(pReal) :: &
|
||
|
|
gamma_dot, & !< strainrate
|
||
|
|
norm_Tstar_dev, & !< euclidean norm of Tstar_dev
|
||
|
|
squarenorm_Tstar_dev !< square of the euclidean norm of Tstar_dev
|
||
|
|
integer(pInt) :: &
|
||
|
|
instance, &
|
||
|
|
k, l, m, n
|
||
|
|
|
||
|
|
instance = phase_plasticityInstance(material_phase(ipc,ip,el))
|
||
|
|
Tstar_dev_33 = math_deviatoric33(math_Mandel6to33(Tstar_v)) ! deviatoric part of 2nd Piola-Kirchhoff stress
|
||
|
|
squarenorm_Tstar_dev = math_mul33xx33(Tstar_dev_33,Tstar_dev_33)
|
||
|
|
norm_Tstar_dev = sqrt(squarenorm_Tstar_dev)
|
||
|
|
|
||
|
|
if (norm_Tstar_dev <= 0.0_pReal) then ! Tstar == 0 --> both Lp and dLp_dTstar are zero
|
||
|
|
Lp = 0.0_pReal
|
||
|
|
dLp_dTstar99 = 0.0_pReal
|
||
|
|
else
|
||
|
|
gamma_dot = plastic_j2_gdot0(instance) &
|
||
|
|
* (sqrt(1.5_pReal) * norm_Tstar_dev / (slipDamage(1)*plastic_j2_fTaylor(instance) * &
|
||
|
|
plasticState(mappingConstitutive(2,ipc,ip,el))%state(1,mappingConstitutive(1,ipc,ip,el)))) &
|
||
|
|
**plastic_j2_n(instance)
|
||
|
|
|
||
|
|
Lp = Tstar_dev_33/norm_Tstar_dev * gamma_dot/plastic_j2_fTaylor(instance)
|
||
|
|
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
! Calculation of the tangent of Lp
|
||
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
||
|
|
dLp_dTstar_3333(k,l,m,n) = (plastic_j2_n(instance)-1.0_pReal) * &
|
||
|
|
Tstar_dev_33(k,l)*Tstar_dev_33(m,n) / squarenorm_Tstar_dev
|
||
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) &
|
||
|
|
dLp_dTstar_3333(k,l,k,l) = dLp_dTstar_3333(k,l,k,l) + 1.0_pReal
|
||
|
|
forall (k=1_pInt:3_pInt,m=1_pInt:3_pInt) &
|
||
|
|
dLp_dTstar_3333(k,k,m,m) = dLp_dTstar_3333(k,k,m,m) - 1.0_pReal/3.0_pReal
|
||
|
|
dLp_dTstar99 = math_Plain3333to99(gamma_dot / plastic_j2_fTaylor(instance) * &
|
||
|
|
dLp_dTstar_3333 / norm_Tstar_dev)
|
||
|
|
end if
|
||
|
|
end subroutine plastic_j2_LpAndItsTangent
|
||
|
|
|
||
|
|
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
!> @brief calculates the rate of change of microstructure
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
subroutine plastic_j2_dotState(Tstar_v,ipc,ip,el)
|
||
|
|
use math, only: &
|
||
|
|
math_mul6x6
|
||
|
|
use mesh, only: &
|
||
|
|
mesh_NcpElems, &
|
||
|
|
mesh_maxNips
|
||
|
|
use material, only: &
|
||
|
|
mappingConstitutive, &
|
||
|
|
plasticState, &
|
||
|
|
homogenization_maxNgrains, &
|
||
|
|
material_phase, &
|
||
|
|
phase_plasticityInstance
|
||
|
|
|
||
|
|
implicit none
|
||
|
|
real(pReal), dimension(6), intent(in):: &
|
||
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||
|
|
integer(pInt), intent(in) :: &
|
||
|
|
ipc, & !< component-ID of integration point
|
||
|
|
ip, & !< integration point
|
||
|
|
el !< element
|
||
|
|
real(pReal), dimension(6) :: &
|
||
|
|
Tstar_dev_v !< deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||
|
|
real(pReal) :: &
|
||
|
|
gamma_dot, & !< strainrate
|
||
|
|
hardening, & !< hardening coefficient
|
||
|
|
saturation, & !< saturation resistance
|
||
|
|
norm_Tstar_dev !< euclidean norm of Tstar_dev
|
||
|
|
integer(pInt) :: &
|
||
|
|
instance, & !< instance of my instance (unique number of my constitutive model)
|
||
|
|
of, & !< shortcut notation for offset position in state array
|
||
|
|
ph !< shortcut notation for phase ID (unique number of all phases, regardless of constitutive model)
|
||
|
|
|
||
|
|
of = mappingConstitutive(1,ipc,ip,el)
|
||
|
|
ph = mappingConstitutive(2,ipc,ip,el)
|
||
|
|
instance = phase_plasticityInstance(material_phase(ipc,ip,el))
|
||
|
|
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
! norm of deviatoric part of 2nd Piola-Kirchhoff stress
|
||
|
|
Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal
|
||
|
|
Tstar_dev_v(4:6) = Tstar_v(4:6)
|
||
|
|
norm_Tstar_dev = sqrt(math_mul6x6(Tstar_dev_v,Tstar_dev_v))
|
||
|
|
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
! strain rate
|
||
|
|
gamma_dot = plastic_j2_gdot0(instance) * ( sqrt(1.5_pReal) * norm_Tstar_dev &
|
||
|
|
/ &!-----------------------------------------------------------------------------------
|
||
|
|
(plastic_j2_fTaylor(instance)*plasticState(ph)%state(1,of)) )**plastic_j2_n(instance)
|
||
|
|
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
! hardening coefficient
|
||
|
|
if (abs(gamma_dot) > 1e-12_pReal) then
|
||
|
|
if (plastic_j2_tausat_SinhFitA(instance) == 0.0_pReal) then
|
||
|
|
saturation = plastic_j2_tausat(instance)
|
||
|
|
else
|
||
|
|
saturation = ( plastic_j2_tausat(instance) &
|
||
|
|
+ ( log( ( gamma_dot / plastic_j2_tausat_SinhFitA(instance)&
|
||
|
|
)**(1.0_pReal / plastic_j2_tausat_SinhFitD(instance))&
|
||
|
|
+ sqrt( ( gamma_dot / plastic_j2_tausat_SinhFitA(instance) &
|
||
|
|
)**(2.0_pReal / plastic_j2_tausat_SinhFitD(instance)) &
|
||
|
|
+ 1.0_pReal ) &
|
||
|
|
) & ! asinh(K) = ln(K + sqrt(K^2 +1))
|
||
|
|
)**(1.0_pReal / plastic_j2_tausat_SinhFitC(instance)) &
|
||
|
|
/ ( plastic_j2_tausat_SinhFitB(instance) &
|
||
|
|
* (gamma_dot / plastic_j2_gdot0(instance))**(1.0_pReal / plastic_j2_n(instance)) &
|
||
|
|
) &
|
||
|
|
)
|
||
|
|
endif
|
||
|
|
hardening = ( plastic_j2_h0(instance) + plastic_j2_h0_slopeLnRate(instance) * log(gamma_dot) ) &
|
||
|
|
* abs( 1.0_pReal - plasticState(ph)%state(1,of)/saturation )**plastic_j2_a(instance) &
|
||
|
|
* sign(1.0_pReal, 1.0_pReal - plasticState(ph)%state(1,of)/saturation)
|
||
|
|
else
|
||
|
|
hardening = 0.0_pReal
|
||
|
|
endif
|
||
|
|
|
||
|
|
plasticState(ph)%dotState(1,of) = hardening * gamma_dot
|
||
|
|
plasticState(ph)%dotState(2,of) = gamma_dot
|
||
|
|
|
||
|
|
end subroutine plastic_j2_dotState
|
||
|
|
|
||
|
|
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
!> @brief returns accumulated slip
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
subroutine plastic_j2_getAccumulatedSlip(nSlip,accumulatedSlip,ipc, ip, el)
|
||
|
|
use material, only: &
|
||
|
|
mappingConstitutive, &
|
||
|
|
plasticState, &
|
||
|
|
phase_plasticityInstance
|
||
|
|
|
||
|
|
implicit none
|
||
|
|
|
||
|
|
real(pReal), dimension(:), allocatable :: &
|
||
|
|
accumulatedSlip
|
||
|
|
integer(pInt) :: &
|
||
|
|
nSlip
|
||
|
|
integer(pInt), intent(in) :: &
|
||
|
|
ipc, & !< grain number
|
||
|
|
ip, & !< integration point number
|
||
|
|
el !< element number
|
||
|
|
integer(pInt) :: &
|
||
|
|
constituent, &
|
||
|
|
phase, &
|
||
|
|
instance
|
||
|
|
|
||
|
|
constituent = mappingConstitutive(1,ipc,ip,el)
|
||
|
|
phase = mappingConstitutive(2,ipc,ip,el)
|
||
|
|
instance = phase_plasticityInstance(phase)
|
||
|
|
|
||
|
|
nSlip = 1_pInt
|
||
|
|
allocate(accumulatedSlip(nSlip))
|
||
|
|
accumulatedSlip(1) = plasticState(phase)%state(2,constituent)
|
||
|
|
|
||
|
|
end subroutine plastic_j2_getAccumulatedSlip
|
||
|
|
|
||
|
|
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
!> @brief return array of constitutive results
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
function plastic_j2_postResults(Tstar_v,ipc,ip,el)
|
||
|
|
use math, only: &
|
||
|
|
math_mul6x6
|
||
|
|
use mesh, only: &
|
||
|
|
mesh_NcpElems, &
|
||
|
|
mesh_maxNips
|
||
|
|
use material, only: &
|
||
|
|
homogenization_maxNgrains, &
|
||
|
|
material_phase, &
|
||
|
|
plasticState, &
|
||
|
|
mappingConstitutive, &
|
||
|
|
phase_plasticityInstance, &
|
||
|
|
phase_Noutput
|
||
|
|
|
||
|
|
implicit none
|
||
|
|
real(pReal), dimension(6), intent(in) :: &
|
||
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||
|
|
integer(pInt), intent(in) :: &
|
||
|
|
ipc, & !< component-ID of integration point
|
||
|
|
ip, & !< integration point
|
||
|
|
el !< element
|
||
|
|
real(pReal), dimension(plastic_j2_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
||
|
|
plastic_j2_postResults
|
||
|
|
|
||
|
|
real(pReal), dimension(6) :: &
|
||
|
|
Tstar_dev_v ! deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation
|
||
|
|
real(pReal) :: &
|
||
|
|
norm_Tstar_dev ! euclidean norm of Tstar_dev
|
||
|
|
integer(pInt) :: &
|
||
|
|
instance, & !< instance of my instance (unique number of my constitutive model)
|
||
|
|
of, & !< shortcut notation for offset position in state array
|
||
|
|
ph, & !< shortcut notation for phase ID (unique number of all phases, regardless of constitutive model)
|
||
|
|
c, &
|
||
|
|
o
|
||
|
|
|
||
|
|
of = mappingConstitutive(1,ipc,ip,el)
|
||
|
|
ph = mappingConstitutive(2,ipc,ip,el)
|
||
|
|
instance = phase_plasticityInstance(material_phase(ipc,ip,el))
|
||
|
|
|
||
|
|
!--------------------------------------------------------------------------------------------------
|
||
|
|
! calculate deviatoric part of 2nd Piola-Kirchhoff stress and its norm
|
||
|
|
Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal
|
||
|
|
Tstar_dev_v(4:6) = Tstar_v(4:6)
|
||
|
|
norm_Tstar_dev = sqrt(math_mul6x6(Tstar_dev_v,Tstar_dev_v))
|
||
|
|
|
||
|
|
c = 0_pInt
|
||
|
|
plastic_j2_postResults = 0.0_pReal
|
||
|
|
|
||
|
|
outputsLoop: do o = 1_pInt,plastic_j2_Noutput(instance)
|
||
|
|
select case(plastic_j2_outputID(o,instance))
|
||
|
|
case (flowstress_ID)
|
||
|
|
plastic_j2_postResults(c+1_pInt) = plasticState(ph)%state(1,of)
|
||
|
|
c = c + 1_pInt
|
||
|
|
case (strainrate_ID)
|
||
|
|
plastic_j2_postResults(c+1_pInt) = &
|
||
|
|
plastic_j2_gdot0(instance) * ( sqrt(1.5_pReal) * norm_Tstar_dev &
|
||
|
|
/ &!----------------------------------------------------------------------------------
|
||
|
|
(plastic_j2_fTaylor(instance) * plasticState(ph)%state(1,of)) ) ** plastic_j2_n(instance)
|
||
|
|
c = c + 1_pInt
|
||
|
|
end select
|
||
|
|
enddo outputsLoop
|
||
|
|
|
||
|
|
end function plastic_j2_postResults
|
||
|
|
|
||
|
|
|
||
|
|
end module plastic_j2
|