! Copyright 2011-13 Max-Planck-Institut für Eisenforschung GmbH
!
! This file is part of DAMASK,
! the Düsseldorf Advanced MAterial Simulation Kit.
!
! DAMASK is free software: you can redistribute it and/or modify
! it under the terms of the GNU General Public License as published by
! the Free Software Foundation, either version 3 of the License, or
! (at your option) any later version.
!
! DAMASK is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! You should have received a copy of the GNU General Public License
! along with DAMASK. If not, see .
!
!--------------------------------------------------------------------------------------------------
! $Id$
!--------------------------------------------------------------------------------------------------
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine for phenomenological crystal plasticity formulation using a powerlaw
!! fitting
!--------------------------------------------------------------------------------------------------
module constitutive_phenopowerlaw
use prec, only: &
pReal,&
pInt
use lattice, only: &
LATTICE_undefined_ID
implicit none
private
integer(pInt), dimension(:), allocatable, public, protected :: &
constitutive_phenopowerlaw_sizeDotState, &
constitutive_phenopowerlaw_sizeState, &
constitutive_phenopowerlaw_sizePostResults, & !< cumulative size of post results
constitutive_phenopowerlaw_structure
integer(pInt), dimension(:,:), allocatable, target, public :: &
constitutive_phenopowerlaw_sizePostResult !< size of each post result output
character(len=64), dimension(:,:), allocatable, target, public :: &
constitutive_phenopowerlaw_output !< name of each post result output
integer(kind(LATTICE_undefined_ID)), dimension(:), allocatable, public :: &
constitutive_phenopowerlaw_structureID !< ID of the lattice structure
integer(pInt), dimension(:), allocatable, private :: &
constitutive_phenopowerlaw_Noutput, & !< number of outputs per instance of this constitution
constitutive_phenopowerlaw_totalNslip, & !< no. of slip system used in simulation
constitutive_phenopowerlaw_totalNtwin !< no. of twin system used in simulation
integer(pInt), dimension(:,:), allocatable, private :: &
constitutive_phenopowerlaw_Nslip, & !< active number of slip systems per family (input parameter, per family)
constitutive_phenopowerlaw_Ntwin !< active number of twin systems per family (input parameter, per family)
real(pReal), dimension(:), allocatable, private :: &
constitutive_phenopowerlaw_CoverA, & !< c/a of the crystal (input parameter)
constitutive_phenopowerlaw_gdot0_slip, & !< reference shear strain rate for slip (input parameter)
constitutive_phenopowerlaw_gdot0_twin, & !< reference shear strain rate for twin (input parameter)
constitutive_phenopowerlaw_n_slip, & !< stress exponent for slip (input parameter)
constitutive_phenopowerlaw_n_twin, & !< stress exponent for twin (input parameter)
constitutive_phenopowerlaw_spr, & !< push-up factor for slip saturation due to twinning
constitutive_phenopowerlaw_twinB, &
constitutive_phenopowerlaw_twinC, &
constitutive_phenopowerlaw_twinD, &
constitutive_phenopowerlaw_twinE, &
constitutive_phenopowerlaw_h0_SlipSlip, & !< reference hardening slip - slip (input parameter)
constitutive_phenopowerlaw_h0_SlipTwin, & !< reference hardening slip - twin (input parameter, no effect at the moment)
constitutive_phenopowerlaw_h0_TwinSlip, & !< reference hardening twin - slip (input parameter)
constitutive_phenopowerlaw_h0_TwinTwin, & !< reference hardening twin - twin (input parameter)
constitutive_phenopowerlaw_a_slip, &
constitutive_phenopowerlaw_aTolResistance, &
constitutive_phenopowerlaw_aTolShear, &
constitutive_phenopowerlaw_aTolTwinfrac
real(pReal), dimension(:,:), allocatable, private :: &
constitutive_phenopowerlaw_tau0_slip, & !< initial critical shear stress for slip (input parameter, per family)
constitutive_phenopowerlaw_tau0_twin, & !< initial critical shear stress for twin (input parameter, per family)
constitutive_phenopowerlaw_tausat_slip, & !< maximum critical shear stress for slip (input parameter, per family)
constitutive_phenopowerlaw_nonSchmidCoeff, &
constitutive_phenopowerlaw_interaction_SlipSlip, & !< interaction factors slip - slip (input parameter)
constitutive_phenopowerlaw_interaction_SlipTwin, & !< interaction factors slip - twin (input parameter)
constitutive_phenopowerlaw_interaction_TwinSlip, & !< interaction factors twin - slip (input parameter)
constitutive_phenopowerlaw_interaction_TwinTwin !< interaction factors twin - twin (input parameter)
real(pReal), dimension(:,:,:), allocatable, private :: &
constitutive_phenopowerlaw_hardeningMatrix_SlipSlip, &
constitutive_phenopowerlaw_hardeningMatrix_SlipTwin, &
constitutive_phenopowerlaw_hardeningMatrix_TwinSlip, &
constitutive_phenopowerlaw_hardeningMatrix_TwinTwin, &
constitutive_phenopowerlaw_Cslip_66
enum, bind(c)
enumerator :: undefined_ID, &
resistance_slip_ID, &
accumulatedshear_slip_ID, &
shearrate_slip_ID, &
resolvedstress_slip_ID, &
totalshear_ID, &
resistance_twin_ID, &
accumulatedshear_twin_ID, &
shearrate_twin_ID, &
resolvedstress_twin_ID, &
totalvolfrac_ID
end enum
integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: &
constitutive_phenopowerlaw_outputID !< ID of each post result output
public :: &
constitutive_phenopowerlaw_init, &
constitutive_phenopowerlaw_stateInit, &
constitutive_phenopowerlaw_aTolState, &
constitutive_phenopowerlaw_homogenizedC, &
constitutive_phenopowerlaw_LpAndItsTangent, &
constitutive_phenopowerlaw_dotState, &
constitutive_phenopowerlaw_postResults
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine constitutive_phenopowerlaw_init(fileUnit)
use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
use prec, only: &
tol_math_check
use debug, only: &
debug_level, &
debug_constitutive,&
debug_levelBasic
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_intValue, &
IO_warning, &
IO_error, &
IO_timeStamp, &
IO_EOF
use material, only: &
homogenization_maxNgrains, &
phase_plasticity, &
phase_plasticityInstance, &
phase_Noutput, &
PLASTICITY_PHENOPOWERLAW_label, &
PLASTICITY_PHENOPOWERLAW_ID, &
MATERIAL_partPhase
use lattice
implicit none
integer(pInt), intent(in) :: fileUnit
integer(pInt), parameter :: MAXNCHUNKS = LATTICE_maxNinteraction + 1_pInt
integer(pInt), dimension(1_pInt+2_pInt*MAXNCHUNKS) :: positions
integer(pInt), dimension(7) :: configNchunks
integer(pInt) :: &
maxNinstance, &
i,j,k, f,o, &
Nchunks_SlipSlip, Nchunks_SlipTwin, Nchunks_TwinSlip, Nchunks_TwinTwin, &
Nchunks_SlipFamilies, Nchunks_TwinFamilies, Nchunks_nonSchmid, &
structID, index_myFamily, index_otherFamily, &
mySize=0_pInt, section = 0_pInt
character(len=32) :: &
structure = ''
character(len=65536) :: &
tag = '', &
line = ''
write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_PHENOPOWERLAW_label//' init -+>>>'
write(6,'(a)') ' $Id$'
write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
#include "compilation_info.f90"
maxNinstance = int(count(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID),pInt)
if (maxNinstance == 0_pInt) return
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) &
write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
Nchunks_SlipFamilies = lattice_maxNslipFamily
Nchunks_TwinFamilies = lattice_maxNtwinFamily
Nchunks_SlipSlip = lattice_maxNinteraction
Nchunks_SlipTwin = lattice_maxNinteraction
Nchunks_TwinSlip = lattice_maxNinteraction
Nchunks_TwinTwin = lattice_maxNinteraction
Nchunks_nonSchmid = lattice_maxNnonSchmid
allocate(constitutive_phenopowerlaw_sizeDotState(maxNinstance), source=0_pInt)
allocate(constitutive_phenopowerlaw_sizeState(maxNinstance), source=0_pInt)
allocate(constitutive_phenopowerlaw_sizePostResults(maxNinstance), source=0_pInt)
allocate(constitutive_phenopowerlaw_sizePostResult(maxval(phase_Noutput),maxNinstance), &
source=0_pInt)
allocate(constitutive_phenopowerlaw_output(maxval(phase_Noutput),maxNinstance))
constitutive_phenopowerlaw_output = ''
allocate(constitutive_phenopowerlaw_outputID(maxval(phase_Noutput),maxNinstance),source=undefined_ID)
allocate(constitutive_phenopowerlaw_Noutput(maxNinstance), source=0_pInt)
allocate(constitutive_phenopowerlaw_structureID(maxNinstance), source=LATTICE_undefined_ID)
allocate(constitutive_phenopowerlaw_structure(maxNinstance), source=0_pInt)
allocate(constitutive_phenopowerlaw_Nslip(lattice_maxNslipFamily,maxNinstance), source=0_pInt)
allocate(constitutive_phenopowerlaw_Ntwin(lattice_maxNtwinFamily,maxNinstance), source=0_pInt)
allocate(constitutive_phenopowerlaw_totalNslip(maxNinstance), source=0_pInt)
allocate(constitutive_phenopowerlaw_totalNtwin(maxNinstance), source=0_pInt)
allocate(constitutive_phenopowerlaw_CoverA(maxNinstance) , source=0.0_pReal)
allocate(constitutive_phenopowerlaw_Cslip_66(6,6,maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_gdot0_slip(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_n_slip(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_tau0_slip(lattice_maxNslipFamily,maxNinstance), &
source=0.0_pReal)
allocate(constitutive_phenopowerlaw_tausat_slip(lattice_maxNslipFamily,maxNinstance), &
source=0.0_pReal)
allocate(constitutive_phenopowerlaw_gdot0_twin(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_n_twin(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_tau0_twin(lattice_maxNtwinFamily,maxNinstance), &
source=0.0_pReal)
allocate(constitutive_phenopowerlaw_spr(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_twinB(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_twinC(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_twinD(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_twinE(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_h0_SlipSlip(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_h0_SlipTwin(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_h0_TwinSlip(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_h0_TwinTwin(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_interaction_SlipSlip(lattice_maxNinteraction,maxNinstance), &
source=0.0_pReal)
allocate(constitutive_phenopowerlaw_interaction_SlipTwin(lattice_maxNinteraction,maxNinstance), &
source=0.0_pReal)
allocate(constitutive_phenopowerlaw_interaction_TwinSlip(lattice_maxNinteraction,maxNinstance), &
source=0.0_pReal)
allocate(constitutive_phenopowerlaw_interaction_TwinTwin(lattice_maxNinteraction,maxNinstance), &
source=0.0_pReal)
allocate(constitutive_phenopowerlaw_a_slip(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_aTolResistance(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_aTolShear(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_aTolTwinfrac(maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_nonSchmidCoeff(lattice_maxNnonSchmid,maxNinstance), &
source=0.0_pReal)
rewind(fileUnit)
do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= material_partPhase) ! wind forward to
line = IO_read(fileUnit)
enddo
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
section = section + 1_pInt ! advance section counter
cycle ! skip to next line
endif
if (section > 0_pInt ) then ! do not short-circuit here (.and. with next if-statement). It's not safe in Fortran
if (phase_plasticity(section) == PLASTICITY_PHENOPOWERLAW_ID) then ! one of my sections
i = phase_plasticityInstance(section) ! 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 ('plasticity','elasticity')
case ('(output)')
constitutive_phenopowerlaw_Noutput(i) = constitutive_phenopowerlaw_Noutput(i) + 1_pInt
constitutive_phenopowerlaw_output(constitutive_phenopowerlaw_Noutput(i),i) = &
IO_lc(IO_stringValue(line,positions,2_pInt))
select case(IO_lc(IO_stringValue(line,positions,2_pInt)))
case ('resistance_slip')
constitutive_phenopowerlaw_outputID(constitutive_phenopowerlaw_Noutput(i),i) = resistance_slip_ID
case ('accumulatedshear_slip')
constitutive_phenopowerlaw_outputID(constitutive_phenopowerlaw_Noutput(i),i) = accumulatedshear_slip_ID
case ('shearrate_slip')
constitutive_phenopowerlaw_outputID(constitutive_phenopowerlaw_Noutput(i),i) = shearrate_slip_ID
case ('resolvedstress_slip')
constitutive_phenopowerlaw_outputID(constitutive_phenopowerlaw_Noutput(i),i) = resolvedstress_slip_ID
case ('totalshear')
constitutive_phenopowerlaw_outputID(constitutive_phenopowerlaw_Noutput(i),i) = totalshear_ID
case ('resistance_twin')
constitutive_phenopowerlaw_outputID(constitutive_phenopowerlaw_Noutput(i),i) = resistance_twin_ID
case ('accumulatedshear_twin')
constitutive_phenopowerlaw_outputID(constitutive_phenopowerlaw_Noutput(i),i) = accumulatedshear_twin_ID
case ('shearrate_twin')
constitutive_phenopowerlaw_outputID(constitutive_phenopowerlaw_Noutput(i),i) = shearrate_twin_ID
case ('resolvedstress_twin')
constitutive_phenopowerlaw_outputID(constitutive_phenopowerlaw_Noutput(i),i) = resolvedstress_twin_ID
case ('totalvolfrac')
constitutive_phenopowerlaw_outputID(constitutive_phenopowerlaw_Noutput(i),i) = totalvolfrac_ID
case default
call IO_error(105_pInt,ext_msg=IO_stringValue(line,positions,2_pInt)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
end select
case ('lattice_structure')
structure = IO_lc(IO_stringValue(line,positions,2_pInt))
select case(structure(1:3))
case(LATTICE_iso_label)
constitutive_phenopowerlaw_structureID(i) = LATTICE_iso_ID
case(LATTICE_fcc_label)
constitutive_phenopowerlaw_structureID(i) = LATTICE_fcc_ID
case(LATTICE_bcc_label)
constitutive_phenopowerlaw_structureID(i) = LATTICE_bcc_ID
case(LATTICE_hex_label)
constitutive_phenopowerlaw_structureID(i) = LATTICE_hex_ID
case(LATTICE_ort_label)
constitutive_phenopowerlaw_structureID(i) = LATTICE_ort_ID
end select
configNchunks = lattice_configNchunks(constitutive_phenopowerlaw_structureID(i))
Nchunks_SlipFamilies = configNchunks(1)
Nchunks_TwinFamilies = configNchunks(2)
Nchunks_SlipSlip = configNchunks(3)
Nchunks_SlipTwin = configNchunks(4)
Nchunks_TwinSlip = configNchunks(5)
Nchunks_TwinTwin = configNchunks(6)
Nchunks_nonSchmid = configNchunks(7)
case ('covera_ratio')
constitutive_phenopowerlaw_CoverA(i) = IO_floatValue(line,positions,2_pInt)
case ('c11')
constitutive_phenopowerlaw_Cslip_66(1,1,i) = IO_floatValue(line,positions,2_pInt)
if (abs(constitutive_phenopowerlaw_Cslip_66(1,1,i)) < tol_math_check) &
call IO_error(214_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
case ('c12')
constitutive_phenopowerlaw_Cslip_66(1,2,i) = IO_floatValue(line,positions,2_pInt)
if (abs(constitutive_phenopowerlaw_Cslip_66(1,2,i)) < tol_math_check) &
call IO_error(214_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
case ('c13')
constitutive_phenopowerlaw_Cslip_66(1,3,i) = IO_floatValue(line,positions,2_pInt)
if (abs(constitutive_phenopowerlaw_Cslip_66(1,3,i)) < tol_math_check) &
call IO_error(214_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
case ('c22')
constitutive_phenopowerlaw_Cslip_66(2,2,i) = IO_floatValue(line,positions,2_pInt)
if (abs(constitutive_phenopowerlaw_Cslip_66(2,2,i)) < tol_math_check) &
call IO_error(214_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
case ('c23')
constitutive_phenopowerlaw_Cslip_66(2,3,i) = IO_floatValue(line,positions,2_pInt)
if (abs(constitutive_phenopowerlaw_Cslip_66(2,3,i)) < tol_math_check) &
call IO_error(214_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
case ('c33')
constitutive_phenopowerlaw_Cslip_66(3,3,i) = IO_floatValue(line,positions,2_pInt)
if (abs(constitutive_phenopowerlaw_Cslip_66(3,3,i)) < tol_math_check) &
call IO_error(214_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
case ('c44')
constitutive_phenopowerlaw_Cslip_66(4,4,i) = IO_floatValue(line,positions,2_pInt)
if (abs(constitutive_phenopowerlaw_Cslip_66(4,4,i)) < tol_math_check) &
call IO_error(214_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
case ('c55')
constitutive_phenopowerlaw_Cslip_66(5,5,i) = IO_floatValue(line,positions,2_pInt)
if (abs(constitutive_phenopowerlaw_Cslip_66(5,5,i)) < tol_math_check) &
call IO_error(214_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
case ('c66')
constitutive_phenopowerlaw_Cslip_66(6,6,i) = IO_floatValue(line,positions,2_pInt)
if (abs(constitutive_phenopowerlaw_Cslip_66(6,6,i)) < tol_math_check) &
call IO_error(214_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
case ('nslip')
if (positions(1) < 1_pInt + Nchunks_SlipFamilies) &
call IO_warning(50_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
Nchunks_SlipFamilies = positions(1) - 1_pInt
do j = 1_pInt, Nchunks_SlipFamilies
constitutive_phenopowerlaw_Nslip(j,i) = IO_intValue(line,positions,1_pInt+j)
enddo
case ('gdot0_slip')
constitutive_phenopowerlaw_gdot0_slip(i) = IO_floatValue(line,positions,2_pInt)
case ('n_slip')
constitutive_phenopowerlaw_n_slip(i) = IO_floatValue(line,positions,2_pInt)
case ('tau0_slip')
do j = 1_pInt,Nchunks_SlipFamilies
constitutive_phenopowerlaw_tau0_slip(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('tausat_slip')
do j = 1_pInt, Nchunks_SlipFamilies
constitutive_phenopowerlaw_tausat_slip(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('a_slip', 'w0_slip')
constitutive_phenopowerlaw_a_slip(i) = IO_floatValue(line,positions,2_pInt)
case ('ntwin')
if (positions(1) < 1_pInt + Nchunks_TwinFamilies) &
call IO_warning(51_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
Nchunks_TwinFamilies = positions(1) - 1_pInt
do j = 1_pInt, Nchunks_TwinFamilies
constitutive_phenopowerlaw_Ntwin(j,i) = IO_intValue(line,positions,1_pInt+j)
enddo
case ('gdot0_twin')
constitutive_phenopowerlaw_gdot0_twin(i) = IO_floatValue(line,positions,2_pInt)
case ('n_twin')
constitutive_phenopowerlaw_n_twin(i) = IO_floatValue(line,positions,2_pInt)
case ('tau0_twin')
do j = 1_pInt, Nchunks_TwinFamilies
constitutive_phenopowerlaw_tau0_twin(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('s_pr')
constitutive_phenopowerlaw_spr(i) = IO_floatValue(line,positions,2_pInt)
case ('twin_b')
constitutive_phenopowerlaw_twinB(i) = IO_floatValue(line,positions,2_pInt)
case ('twin_c')
constitutive_phenopowerlaw_twinC(i) = IO_floatValue(line,positions,2_pInt)
case ('twin_d')
constitutive_phenopowerlaw_twinD(i) = IO_floatValue(line,positions,2_pInt)
case ('twin_e')
constitutive_phenopowerlaw_twinE(i) = IO_floatValue(line,positions,2_pInt)
case ('h0_slipslip')
constitutive_phenopowerlaw_h0_SlipSlip(i) = IO_floatValue(line,positions,2_pInt)
case ('h0_sliptwin')
constitutive_phenopowerlaw_h0_SlipTwin(i) = IO_floatValue(line,positions,2_pInt)
call IO_warning(42_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
case ('h0_twinslip')
constitutive_phenopowerlaw_h0_TwinSlip(i) = IO_floatValue(line,positions,2_pInt)
case ('h0_twintwin')
constitutive_phenopowerlaw_h0_TwinTwin(i) = IO_floatValue(line,positions,2_pInt)
case ('atol_resistance')
constitutive_phenopowerlaw_aTolResistance(i) = IO_floatValue(line,positions,2_pInt)
case ('atol_shear')
constitutive_phenopowerlaw_aTolShear(i) = IO_floatValue(line,positions,2_pInt)
case ('atol_twinfrac')
constitutive_phenopowerlaw_aTolTwinfrac(i) = IO_floatValue(line,positions,2_pInt)
case ('interaction_slipslip')
if (positions(1) < 1_pInt + Nchunks_SlipSlip) &
call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
do j = 1_pInt, Nchunks_SlipSlip
constitutive_phenopowerlaw_interaction_SlipSlip(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('interaction_sliptwin')
if (positions(1) < 1_pInt + Nchunks_SlipTwin) &
call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
do j = 1_pInt, Nchunks_SlipTwin
constitutive_phenopowerlaw_interaction_SlipTwin(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('interaction_twinslip')
if (positions(1) < 1_pInt + Nchunks_TwinSlip) &
call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
do j = 1_pInt, Nchunks_TwinSlip
constitutive_phenopowerlaw_interaction_TwinSlip(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('interaction_twintwin')
if (positions(1) < 1_pInt + Nchunks_TwinTwin) &
call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
do j = 1_pInt, Nchunks_TwinTwin
constitutive_phenopowerlaw_interaction_TwinTwin(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('nonschmid_coefficients')
if (positions(1) < 1_pInt + Nchunks_nonSchmid) &
call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
do j = 1_pInt,Nchunks_nonSchmid
constitutive_phenopowerlaw_nonSchmidCoeff(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case default
call IO_error(210_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_PHENOPOWERLAW_label//')')
end select
endif
endif
enddo
sanityChecks: do i = 1_pInt,maxNinstance
constitutive_phenopowerlaw_structure(i) = &
lattice_initializeStructure(constitutive_phenopowerlaw_structureID(i), constitutive_phenopowerlaw_CoverA(i)) ! get structure
constitutive_phenopowerlaw_Nslip(1:lattice_maxNslipFamily,i) = &
min(lattice_NslipSystem(1:lattice_maxNslipFamily,constitutive_phenopowerlaw_structure(i)),& ! limit active slip systems per family to min of available and requested
constitutive_phenopowerlaw_Nslip(1:lattice_maxNslipFamily,i))
constitutive_phenopowerlaw_Ntwin(1:lattice_maxNtwinFamily,i) = &
min(lattice_NtwinSystem(1:lattice_maxNtwinFamily,constitutive_phenopowerlaw_structure(i)),& ! limit active twin systems per family to min of available and requested
constitutive_phenopowerlaw_Ntwin(:,i))
constitutive_phenopowerlaw_totalNslip(i) = sum(constitutive_phenopowerlaw_Nslip(:,i)) ! how many slip systems altogether
constitutive_phenopowerlaw_totalNtwin(i) = sum(constitutive_phenopowerlaw_Ntwin(:,i)) ! how many twin systems altogether
if (constitutive_phenopowerlaw_structure(i) < 1 ) call IO_error(205_pInt,el=i)
if (any(constitutive_phenopowerlaw_tau0_slip(:,i) < 0.0_pReal .and. &
constitutive_phenopowerlaw_Nslip(:,i) > 0)) call IO_error(211_pInt,el=i,ext_msg='tau0_slip (' &
//PLASTICITY_PHENOPOWERLAW_label//')')
if (constitutive_phenopowerlaw_gdot0_slip(i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='gdot0_slip (' &
//PLASTICITY_PHENOPOWERLAW_label//')')
if (constitutive_phenopowerlaw_n_slip(i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='n_slip (' &
//PLASTICITY_PHENOPOWERLAW_label//')')
if (any(constitutive_phenopowerlaw_tausat_slip(:,i) <= 0.0_pReal .and. &
constitutive_phenopowerlaw_Nslip(:,i) > 0)) call IO_error(211_pInt,el=i,ext_msg='tausat_slip (' &
//PLASTICITY_PHENOPOWERLAW_label//')')
if (any(constitutive_phenopowerlaw_a_slip(i) == 0.0_pReal .and. &
constitutive_phenopowerlaw_Nslip(:,i) > 0)) call IO_error(211_pInt,el=i,ext_msg='a_slip (' &
//PLASTICITY_PHENOPOWERLAW_label//')')
if (any(constitutive_phenopowerlaw_tau0_twin(:,i) < 0.0_pReal .and. &
constitutive_phenopowerlaw_Ntwin(:,i) > 0)) call IO_error(211_pInt,el=i,ext_msg='tau0_twin (' &
//PLASTICITY_PHENOPOWERLAW_label//')')
if ( constitutive_phenopowerlaw_gdot0_twin(i) <= 0.0_pReal .and. &
any(constitutive_phenopowerlaw_Ntwin(:,i) > 0)) call IO_error(211_pInt,el=i,ext_msg='gdot0_twin (' &
//PLASTICITY_PHENOPOWERLAW_label//')')
if ( constitutive_phenopowerlaw_n_twin(i) <= 0.0_pReal .and. &
any(constitutive_phenopowerlaw_Ntwin(:,i) > 0)) call IO_error(211_pInt,el=i,ext_msg='n_twin (' &
//PLASTICITY_PHENOPOWERLAW_label//')')
if (constitutive_phenopowerlaw_aTolResistance(i) <= 0.0_pReal) &
constitutive_phenopowerlaw_aTolResistance(i) = 1.0_pReal ! default absolute tolerance 1 Pa
if (constitutive_phenopowerlaw_aTolShear(i) <= 0.0_pReal) &
constitutive_phenopowerlaw_aTolShear(i) = 1.0e-6_pReal ! default absolute tolerance 1e-6
if (constitutive_phenopowerlaw_aTolTwinfrac(i) <= 0.0_pReal) &
constitutive_phenopowerlaw_aTolTwinfrac(i) = 1.0e-6_pReal ! default absolute tolerance 1e-6
enddo sanityChecks
!--------------------------------------------------------------------------------------------------
! allocation of variables whose size depends on the total number of active slip systems
allocate(constitutive_phenopowerlaw_hardeningMatrix_SlipSlip(maxval(constitutive_phenopowerlaw_totalNslip),& ! slip resistance from slip activity
maxval(constitutive_phenopowerlaw_totalNslip),&
maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_hardeningMatrix_SlipTwin(maxval(constitutive_phenopowerlaw_totalNslip),& ! slip resistance from twin activity
maxval(constitutive_phenopowerlaw_totalNtwin),&
maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_hardeningMatrix_TwinSlip(maxval(constitutive_phenopowerlaw_totalNtwin),& ! twin resistance from slip activity
maxval(constitutive_phenopowerlaw_totalNslip),&
maxNinstance), source=0.0_pReal)
allocate(constitutive_phenopowerlaw_hardeningMatrix_TwinTwin(maxval(constitutive_phenopowerlaw_totalNtwin),& ! twin resistance from twin activity
maxval(constitutive_phenopowerlaw_totalNtwin),&
maxNinstance), source=0.0_pReal)
instancesLoop: do i = 1_pInt,maxNinstance
outputsLoop: do o = 1_pInt,constitutive_phenopowerlaw_Noutput(i)
select case(constitutive_phenopowerlaw_outputID(o,i))
case(resistance_slip_ID, &
shearrate_slip_ID, &
accumulatedshear_slip_ID, &
resolvedstress_slip_ID &
)
mySize = constitutive_phenopowerlaw_totalNslip(i)
case(resistance_twin_ID, &
shearrate_twin_ID, &
accumulatedshear_twin_ID, &
resolvedstress_twin_ID &
)
mySize = constitutive_phenopowerlaw_totalNtwin(i)
case(totalshear_ID, &
totalvolfrac_ID &
)
mySize = 1_pInt
case default
end select
outputFound: if (mySize > 0_pInt) then
constitutive_phenopowerlaw_sizePostResult(o,i) = mySize
constitutive_phenopowerlaw_sizePostResults(i) = constitutive_phenopowerlaw_sizePostResults(i) + mySize
endif outputFound
enddo outputsLoop
constitutive_phenopowerlaw_sizeDotState(i) = constitutive_phenopowerlaw_totalNslip(i)+ &
constitutive_phenopowerlaw_totalNtwin(i)+ &
2_pInt + &
constitutive_phenopowerlaw_totalNslip(i)+ &
constitutive_phenopowerlaw_totalNtwin(i) ! s_slip, s_twin, sum(gamma), sum(f), accshear_slip, accshear_twin
constitutive_phenopowerlaw_sizeState(i) = constitutive_phenopowerlaw_sizeDotState(i)
structID = constitutive_phenopowerlaw_structure(i)
constitutive_phenopowerlaw_Cslip_66(1:6,1:6,i) = &
lattice_symmetrizeC66(constitutive_phenopowerlaw_structureID(i),&
constitutive_phenopowerlaw_Cslip_66(:,:,i)) ! assign elasticity tensor
constitutive_phenopowerlaw_Cslip_66(1:6,1:6,i) = &
math_Mandel3333to66(math_Voigt66to3333(constitutive_phenopowerlaw_Cslip_66(:,:,i)))
do f = 1_pInt,lattice_maxNslipFamily ! >>> interaction slip -- X
index_myFamily = sum(constitutive_phenopowerlaw_Nslip(1:f-1_pInt,i))
do j = 1_pInt,constitutive_phenopowerlaw_Nslip(f,i) ! loop over (active) systems in my family (slip)
do o = 1_pInt,lattice_maxNslipFamily
index_otherFamily = sum(constitutive_phenopowerlaw_Nslip(1:o-1_pInt,i))
do k = 1_pInt,constitutive_phenopowerlaw_Nslip(o,i) ! loop over (active) systems in other family (slip)
constitutive_phenopowerlaw_hardeningMatrix_SlipSlip(index_myFamily+j,index_otherFamily+k,i) = &
constitutive_phenopowerlaw_interaction_SlipSlip(lattice_interactionSlipSlip( &
sum(lattice_NslipSystem(1:f-1,structID))+j, &
sum(lattice_NslipSystem(1:o-1,structID))+k, &
structID), i )
enddo; enddo
do o = 1_pInt,lattice_maxNtwinFamily
index_otherFamily = sum(constitutive_phenopowerlaw_Ntwin(1:o-1_pInt,i))
do k = 1_pInt,constitutive_phenopowerlaw_Ntwin(o,i) ! loop over (active) systems in other family (twin)
constitutive_phenopowerlaw_hardeningMatrix_SlipTwin(index_myFamily+j,index_otherFamily+k,i) = &
constitutive_phenopowerlaw_interaction_SlipTwin(lattice_interactionSlipTwin( &
sum(lattice_NslipSystem(1:f-1_pInt,structID))+j, &
sum(lattice_NtwinSystem(1:o-1_pInt,structID))+k, &
structID), i )
enddo; enddo
enddo; enddo
do f = 1_pInt,lattice_maxNtwinFamily ! >>> interaction twin -- X
index_myFamily = sum(constitutive_phenopowerlaw_Ntwin(1:f-1_pInt,i))
do j = 1_pInt,constitutive_phenopowerlaw_Ntwin(f,i) ! loop over (active) systems in my family (twin)
do o = 1_pInt,lattice_maxNslipFamily
index_otherFamily = sum(constitutive_phenopowerlaw_Nslip(1:o-1_pInt,i))
do k = 1_pInt,constitutive_phenopowerlaw_Nslip(o,i) ! loop over (active) systems in other family (slip)
constitutive_phenopowerlaw_hardeningMatrix_TwinSlip(index_myFamily+j,index_otherFamily+k,i) = &
constitutive_phenopowerlaw_interaction_TwinSlip(lattice_interactionTwinSlip( &
sum(lattice_NtwinSystem(1:f-1_pInt,structID))+j, &
sum(lattice_NslipSystem(1:o-1_pInt,structID))+k, &
structID), i )
enddo; enddo
do o = 1_pInt,lattice_maxNtwinFamily
index_otherFamily = sum(constitutive_phenopowerlaw_Ntwin(1:o-1_pInt,i))
do k = 1_pInt,constitutive_phenopowerlaw_Ntwin(o,i) ! loop over (active) systems in other family (twin)
constitutive_phenopowerlaw_hardeningMatrix_TwinTwin(index_myFamily+j,index_otherFamily+k,i) = &
constitutive_phenopowerlaw_interaction_TwinTwin(lattice_interactionTwinTwin( &
sum(lattice_NtwinSystem(1:f-1_pInt,structID))+j, &
sum(lattice_NtwinSystem(1:o-1_pInt,structID))+k, &
structID), i )
enddo; enddo
enddo; enddo
enddo instancesLoop
end subroutine constitutive_phenopowerlaw_init
!--------------------------------------------------------------------------------------------------
!> @brief sets the initial microstructural state for a given instance of this plasticity
!--------------------------------------------------------------------------------------------------
pure function constitutive_phenopowerlaw_stateInit(matID)
use lattice, only: &
lattice_maxNslipFamily, &
lattice_maxNtwinFamily
implicit none
integer(pInt), intent(in) :: &
matID !< number specifying the instance of the plasticity
real(pReal), dimension(constitutive_phenopowerlaw_sizeDotState(matID)) :: &
constitutive_phenopowerlaw_stateInit
integer(pInt) :: &
i
constitutive_phenopowerlaw_stateInit = 0.0_pReal
do i = 1_pInt,lattice_maxNslipFamily
constitutive_phenopowerlaw_stateInit(1+&
sum(constitutive_phenopowerlaw_Nslip(1:i-1,matID)) : &
sum(constitutive_phenopowerlaw_Nslip(1:i ,matID))) = &
constitutive_phenopowerlaw_tau0_slip(i,matID)
enddo
do i = 1_pInt,lattice_maxNtwinFamily
constitutive_phenopowerlaw_stateInit(1+sum(constitutive_phenopowerlaw_Nslip(:,matID))+&
sum(constitutive_phenopowerlaw_Ntwin(1:i-1,matID)) : &
sum(constitutive_phenopowerlaw_Nslip(:,matID))+&
sum(constitutive_phenopowerlaw_Ntwin(1:i ,matID))) = &
constitutive_phenopowerlaw_tau0_twin(i,matID)
enddo
end function constitutive_phenopowerlaw_stateInit
!--------------------------------------------------------------------------------------------------
!> @brief sets the relevant state values for a given instance of this plasticity
!--------------------------------------------------------------------------------------------------
pure function constitutive_phenopowerlaw_aTolState(matID)
implicit none
integer(pInt), intent(in) :: matID !< number specifying the instance of the plasticity
real(pReal), dimension(constitutive_phenopowerlaw_sizeState(matID)) :: &
constitutive_phenopowerlaw_aTolState
constitutive_phenopowerlaw_aTolState(1:constitutive_phenopowerlaw_totalNslip(matID)+ &
constitutive_phenopowerlaw_totalNtwin(matID)) = &
constitutive_phenopowerlaw_aTolResistance(matID)
constitutive_phenopowerlaw_aTolState(1+constitutive_phenopowerlaw_totalNslip(matID)+ &
constitutive_phenopowerlaw_totalNtwin(matID)) = &
constitutive_phenopowerlaw_aTolShear(matID)
constitutive_phenopowerlaw_aTolState(2+constitutive_phenopowerlaw_totalNslip(matID)+ &
constitutive_phenopowerlaw_totalNtwin(matID)) = &
constitutive_phenopowerlaw_aTolTwinFrac(matID)
constitutive_phenopowerlaw_aTolState(3+constitutive_phenopowerlaw_totalNslip(matID)+ &
constitutive_phenopowerlaw_totalNtwin(matID): &
2+2*(constitutive_phenopowerlaw_totalNslip(matID)+ &
constitutive_phenopowerlaw_totalNtwin(matID))) = &
constitutive_phenopowerlaw_aTolShear(matID)
end function constitutive_phenopowerlaw_aTolState
!--------------------------------------------------------------------------------------------------
!> @brief returns the homogenized elasticity matrix
!--------------------------------------------------------------------------------------------------
pure function constitutive_phenopowerlaw_homogenizedC(ipc,ip,el)
use prec, only: &
p_vec
use mesh, only: &
mesh_NcpElems, &
mesh_maxNips
use material, only: &
homogenization_maxNgrains, &
material_phase, &
phase_plasticityInstance
implicit none
real(pReal), dimension(6,6) :: &
constitutive_phenopowerlaw_homogenizedC
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
constitutive_phenopowerlaw_homogenizedC = constitutive_phenopowerlaw_Cslip_66(1:6,1:6,&
phase_plasticityInstance(material_phase(ipc,ip,el)))
end function constitutive_phenopowerlaw_homogenizedC
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!--------------------------------------------------------------------------------------------------
pure subroutine constitutive_phenopowerlaw_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,state,ipc,ip,el)
use prec, only: &
p_vec
use math, only: &
math_Plain3333to99, &
math_Mandel6to33
use lattice, only: &
lattice_Sslip, &
lattice_Sslip_v, &
lattice_Stwin, &
lattice_Stwin_v, &
lattice_maxNslipFamily, &
lattice_maxNtwinFamily, &
lattice_NslipSystem, &
lattice_NtwinSystem, &
lattice_NnonSchmid
use mesh, only: &
mesh_NcpElems, &
mesh_maxNips
use material, only: &
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
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state !< microstructure state
integer(pInt) :: &
matID, &
nSlip, &
nTwin,structID,index_Gamma,index_F,index_myFamily, &
f,i,j,k,l,m,n
real(pReal), dimension(3,3,3,3) :: &
dLp_dTstar3333 !< derivative of Lp with respect to Tstar as 4th order tensor
real(pReal), dimension(3,3,2) :: &
nonSchmid_tensor
real(pReal), dimension(constitutive_phenopowerlaw_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip_pos,gdot_slip_neg,dgdot_dtauslip_pos,dgdot_dtauslip_neg,tau_slip_pos,tau_slip_neg
real(pReal), dimension(constitutive_phenopowerlaw_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_twin,dgdot_dtautwin,tau_twin
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
structID = constitutive_phenopowerlaw_structure(matID)
nSlip = constitutive_phenopowerlaw_totalNslip(matID)
nTwin = constitutive_phenopowerlaw_totalNtwin(matID)
index_Gamma = nSlip + nTwin + 1_pInt
index_F = nSlip + nTwin + 2_pInt
Lp = 0.0_pReal
dLp_dTstar3333 = 0.0_pReal
dLp_dTstar99 = 0.0_pReal
j = 0_pInt
slipFamiliesLoop: do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_phenopowerlaw_Nslip(f,matID) ! process each (active) slip system in family
j = j+1_pInt
!--------------------------------------------------------------------------------------------------
! Calculation of Lp
tau_slip_pos(j) = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,structID))
tau_slip_neg(j) = tau_slip_pos(j)
nonSchmid_tensor(1:3,1:3,1) = lattice_Sslip(1:3,1:3,1,index_myFamily+i,structID)
nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,1)
do k = 1,lattice_NnonSchmid(structID)
tau_slip_pos(j) = tau_slip_pos(j) + constitutive_phenopowerlaw_nonSchmidCoeff(k,matID)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k,index_myFamily+i,structID))
tau_slip_neg(j) = tau_slip_neg(j) + constitutive_phenopowerlaw_nonSchmidCoeff(k,matID)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,structID))
nonSchmid_tensor(1:3,1:3,1) = nonSchmid_tensor(1:3,1:3,1) + constitutive_phenopowerlaw_nonSchmidCoeff(k,matID)*&
lattice_Sslip(1:3,1:3,2*k,index_myFamily+i,structID)
nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,2) + constitutive_phenopowerlaw_nonSchmidCoeff(k,matID)*&
lattice_Sslip(1:3,1:3,2*k+1,index_myFamily+i,structID)
enddo
gdot_slip_pos(j) = 0.5_pReal * (1.0_pReal - state(ipc,ip,el)%p(index_F)) & ! 1-F
* constitutive_phenopowerlaw_gdot0_slip(matID) &
* (abs(tau_slip_pos(j)) / state(ipc,ip,el)%p(j)) &
**constitutive_phenopowerlaw_n_slip(matID) &
* sign(1.0_pReal,tau_slip_pos(j))
gdot_slip_neg(j) = 0.5_pReal * (1.0_pReal - state(ipc,ip,el)%p(index_F)) & ! 1-F
* constitutive_phenopowerlaw_gdot0_slip(matID) &
* (abs(tau_slip_neg(j)) / state(ipc,ip,el)%p(j)) &
**constitutive_phenopowerlaw_n_slip(matID) &
* sign(1.0_pReal,tau_slip_neg(j))
Lp = Lp + (gdot_slip_pos(j) + gdot_slip_neg(j)) &
* lattice_Sslip(1:3,1:3,1,index_myFamily+i,structID)
!--------------------------------------------------------------------------------------------------
! Calculation of the tangent of Lp
if (gdot_slip_pos(j) /= 0.0_pReal) then
dgdot_dtauslip_pos(j) = gdot_slip_pos(j)*constitutive_phenopowerlaw_n_slip(matID)/tau_slip_pos(j)
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) + &
dgdot_dtauslip_pos(j)*lattice_Sslip(k,l,1,index_myFamily+i,structID)* &
nonSchmid_tensor(m,n,1)
endif
if (gdot_slip_neg(j) /= 0.0_pReal) then
dgdot_dtauslip_neg(j) = gdot_slip_neg(j)*constitutive_phenopowerlaw_n_slip(matID)/tau_slip_neg(j)
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) + &
dgdot_dtauslip_neg(j)*lattice_Sslip(k,l,1,index_myFamily+i,structID)* &
nonSchmid_tensor(m,n,2)
endif
enddo
enddo slipFamiliesLoop
j = 0_pInt
twinFamiliesLoop: do f = 1_pInt,lattice_maxNtwinFamily
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_phenopowerlaw_Ntwin(f,matID) ! process each (active) twin system in family
j = j+1_pInt
!--------------------------------------------------------------------------------------------------
! Calculation of Lp
tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(1:6,index_myFamily+i,structID))
gdot_twin(j) = (1.0_pReal - state(ipc,ip,el)%p(index_F)) & ! 1-F
* constitutive_phenopowerlaw_gdot0_twin(matID) &
* (abs(tau_twin(j)) / state(ipc,ip,el)%p(nSlip+j)) &
**constitutive_phenopowerlaw_n_twin(matID) &
* max(0.0_pReal,sign(1.0_pReal,tau_twin(j)))
Lp = Lp + gdot_twin(j) * lattice_Stwin(1:3,1:3,index_myFamily+i,structID)
!--------------------------------------------------------------------------------------------------
! Calculation of the tangent of Lp
if (gdot_twin(j) /= 0.0_pReal) then
dgdot_dtautwin(j) = gdot_twin(j)*constitutive_phenopowerlaw_n_twin(matID)/tau_twin(j)
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) + &
dgdot_dtautwin(j)*lattice_Stwin(k,l,index_myFamily+i,structID)* &
lattice_Stwin(m,n,index_myFamily+i,structID)
endif
enddo
enddo twinFamiliesLoop
dLp_dTstar99 = math_Plain3333to99(dLp_dTstar3333)
end subroutine constitutive_phenopowerlaw_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!--------------------------------------------------------------------------------------------------
function constitutive_phenopowerlaw_dotState(Tstar_v,state,ipc,ip,el)
use prec, only: &
p_vec
use lattice, only: &
lattice_Sslip_v, &
lattice_Stwin_v, &
lattice_maxNslipFamily, &
lattice_maxNtwinFamily, &
lattice_NslipSystem, &
lattice_NtwinSystem, &
lattice_shearTwin, &
lattice_NnonSchmid
use mesh, only: &
mesh_NcpElems,&
mesh_maxNips
use material, only: &
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
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state !< microstructure state
real(pReal), dimension(constitutive_phenopowerlaw_sizeDotState(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
constitutive_phenopowerlaw_dotState
integer(pInt) :: &
matID,structID, &
nSlip,nTwin, &
f,i,j,k, &
index_Gamma,index_F,index_myFamily, &
offset_accshear_slip,offset_accshear_twin
real(pReal) :: &
c_SlipSlip,c_SlipTwin,c_TwinSlip,c_TwinTwin, &
ssat_offset
real(pReal), dimension(constitutive_phenopowerlaw_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip,tau_slip_pos,tau_slip_neg,left_SlipSlip,left_SlipTwin,right_SlipSlip,right_TwinSlip
real(pReal), dimension(constitutive_phenopowerlaw_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_twin,tau_twin,left_TwinSlip,left_TwinTwin,right_SlipTwin,right_TwinTwin
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
structID = constitutive_phenopowerlaw_structure(matID)
nSlip = constitutive_phenopowerlaw_totalNslip(matID)
nTwin = constitutive_phenopowerlaw_totalNtwin(matID)
index_Gamma = nSlip + nTwin + 1_pInt
index_F = nSlip + nTwin + 2_pInt
offset_accshear_slip = nSlip + nTwin + 2_pInt
offset_accshear_twin = nSlip + nTwin + 2_pInt + nSlip
constitutive_phenopowerlaw_dotState = 0.0_pReal
!--------------------------------------------------------------------------------------------------
! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices
c_SlipSlip = constitutive_phenopowerlaw_h0_SlipSlip(matID)*&
(1.0_pReal + constitutive_phenopowerlaw_twinC(matID)*state(ipc,ip,el)%p(index_F)**&
constitutive_phenopowerlaw_twinB(matID))
c_SlipTwin = 0.0_pReal
c_TwinSlip = constitutive_phenopowerlaw_h0_TwinSlip(matID)*&
state(ipc,ip,el)%p(index_Gamma)**constitutive_phenopowerlaw_twinE(matID)
c_TwinTwin = constitutive_phenopowerlaw_h0_TwinTwin(matID)*&
state(ipc,ip,el)%p(index_F)**constitutive_phenopowerlaw_twinD(matID)
!--------------------------------------------------------------------------------------------------
! calculate left and right vectors and calculate dot gammas
ssat_offset = constitutive_phenopowerlaw_spr(matID)*sqrt(state(ipc,ip,el)%p(index_F))
j = 0_pInt
slipFamiliesLoop1: do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_phenopowerlaw_Nslip(f,matID) ! process each (active) slip system in family
j = j+1_pInt
left_SlipSlip(j) = 1.0_pReal ! no system-dependent left part
left_SlipTwin(j) = 1.0_pReal ! no system-dependent left part
right_SlipSlip(j) = abs(1.0_pReal-state(ipc,ip,el)%p(j) / &
(constitutive_phenopowerlaw_tausat_slip(f,matID)+ssat_offset)) &
**constitutive_phenopowerlaw_a_slip(matID)&
*sign(1.0_pReal,1.0_pReal-state(ipc,ip,el)%p(j) / &
(constitutive_phenopowerlaw_tausat_slip(f,matID)+ssat_offset))
right_TwinSlip(j) = 1.0_pReal ! no system-dependent part
!--------------------------------------------------------------------------------------------------
! Calculation of dot gamma
tau_slip_pos(j) = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,structID))
tau_slip_neg(j) = tau_slip_pos(j)
do k = 1,lattice_NnonSchmid(structID)
tau_slip_pos(j) = tau_slip_pos(j) + constitutive_phenopowerlaw_nonSchmidCoeff(k,matID)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k,index_myFamily+i,structID))
tau_slip_neg(j) = tau_slip_neg(j) + constitutive_phenopowerlaw_nonSchmidCoeff(k,matID)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,structID))
enddo
gdot_slip(j) = constitutive_phenopowerlaw_gdot0_slip(matID)*0.5_pReal* &
((abs(tau_slip_pos(j))/state(ipc,ip,el)%p(j))**constitutive_phenopowerlaw_n_slip(matID) &
+(abs(tau_slip_neg(j))/state(ipc,ip,el)%p(j))**constitutive_phenopowerlaw_n_slip(matID))&
*sign(1.0_pReal,tau_slip_pos(j))
enddo
enddo slipFamiliesLoop1
j = 0_pInt
twinFamiliesLoop1: do f = 1_pInt,lattice_maxNtwinFamily
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_phenopowerlaw_Ntwin(f,matID) ! process each (active) twin system in family
j = j+1_pInt
left_TwinSlip(j) = 1.0_pReal ! no system-dependent right part
left_TwinTwin(j) = 1.0_pReal ! no system-dependent right part
right_SlipTwin(j) = 1.0_pReal ! no system-dependent right part
right_TwinTwin(j) = 1.0_pReal ! no system-dependent right part
!--------------------------------------------------------------------------------------------------
! Calculation of dot vol frac
tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(1:6,index_myFamily+i,structID))
gdot_twin(j) = (1.0_pReal-state(ipc,ip,el)%p(index_F))*& ! 1-F
constitutive_phenopowerlaw_gdot0_twin(matID)*&
(abs(tau_twin(j))/state(ipc,ip,el)%p(nSlip+j))**&
constitutive_phenopowerlaw_n_twin(matID)*max(0.0_pReal,sign(1.0_pReal,tau_twin(j)))
enddo
enddo twinFamiliesLoop1
!--------------------------------------------------------------------------------------------------
! calculate the overall hardening based on above
j = 0_pInt
slipFamiliesLoop2: do f = 1_pInt,lattice_maxNslipFamily
do i = 1_pInt,constitutive_phenopowerlaw_Nslip(f,matID) ! process each (active) slip system in family
j = j+1_pInt
constitutive_phenopowerlaw_dotState(j) = & ! evolution of slip resistance j
c_SlipSlip * left_SlipSlip(j) * &
dot_product(constitutive_phenopowerlaw_hardeningMatrix_SlipSlip(j,1:nSlip,matID), &
right_SlipSlip*abs(gdot_slip)) + & ! dot gamma_slip modulated by right-side slip factor
c_SlipTwin * left_SlipTwin(j) * &
dot_product(constitutive_phenopowerlaw_hardeningMatrix_SlipTwin(j,1:nTwin,matID), &
right_SlipTwin*gdot_twin) ! dot gamma_twin modulated by right-side twin factor
constitutive_phenopowerlaw_dotState(index_Gamma) = constitutive_phenopowerlaw_dotState(index_Gamma) + &
abs(gdot_slip(j))
constitutive_phenopowerlaw_dotState(offset_accshear_slip+j) = abs(gdot_slip(j))
enddo
enddo slipFamiliesLoop2
j = 0_pInt
twinFamiliesLoop2: do f = 1_pInt,lattice_maxNtwinFamily
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_phenopowerlaw_Ntwin(f,matID) ! process each (active) twin system in family
j = j+1_pInt
constitutive_phenopowerlaw_dotState(j+nSlip) = & ! evolution of twin resistance j
c_TwinSlip * left_TwinSlip(j) * &
dot_product(constitutive_phenopowerlaw_hardeningMatrix_TwinSlip(j,1:nSlip,matID), &
right_TwinSlip*abs(gdot_slip)) + & ! dot gamma_slip modulated by right-side slip factor
c_TwinTwin * left_TwinTwin(j) * &
dot_product(constitutive_phenopowerlaw_hardeningMatrix_TwinTwin(j,1:nTwin,matID), &
right_TwinTwin*gdot_twin) ! dot gamma_twin modulated by right-side twin factor
constitutive_phenopowerlaw_dotState(index_F) = constitutive_phenopowerlaw_dotState(index_F) + &
gdot_twin(j)/lattice_shearTwin(index_myFamily+i,structID)
constitutive_phenopowerlaw_dotState(offset_accshear_twin+j) = abs(gdot_twin(j))
enddo
enddo twinFamiliesLoop2
end function constitutive_phenopowerlaw_dotState
!--------------------------------------------------------------------------------------------------
!> @brief return array of constitutive results
!--------------------------------------------------------------------------------------------------
pure function constitutive_phenopowerlaw_postResults(Tstar_v,state,ipc,ip,el)
use prec, only: &
p_vec
use mesh, only: &
mesh_NcpElems, &
mesh_maxNips
use material, only: &
homogenization_maxNgrains, &
material_phase, &
phase_plasticityInstance, &
phase_Noutput
use lattice, only: &
lattice_Sslip_v, &
lattice_Stwin_v, &
lattice_maxNslipFamily, &
lattice_maxNtwinFamily, &
lattice_NslipSystem, &
lattice_NtwinSystem, &
lattice_NnonSchmid
use mesh, only: &
mesh_NcpElems, &
mesh_maxNips
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
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state !< microstructure state
real(pReal), dimension(constitutive_phenopowerlaw_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
constitutive_phenopowerlaw_postResults
integer(pInt) :: &
matID,structID, &
nSlip,nTwin, &
o,f,i,c,j,k, &
index_Gamma,index_F,index_accshear_slip,index_accshear_twin,index_myFamily
real(pReal) :: &
tau_slip_pos,tau_slip_neg,tau
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
structID = constitutive_phenopowerlaw_structure(matID)
nSlip = constitutive_phenopowerlaw_totalNslip(matID)
nTwin = constitutive_phenopowerlaw_totalNtwin(matID)
index_Gamma = nSlip + nTwin + 1_pInt
index_F = nSlip + nTwin + 2_pInt
index_accshear_slip = nSlip + nTwin + 3_pInt
index_accshear_twin = nSlip + nTwin + 3_pInt + nSlip
constitutive_phenopowerlaw_postResults = 0.0_pReal
c = 0_pInt
outputsLoop: do o = 1_pInt,phase_Noutput(material_phase(ipc,ip,el))
select case(constitutive_phenopowerlaw_outputID(o,matID))
case (resistance_slip_ID)
constitutive_phenopowerlaw_postResults(c+1_pInt:c+nSlip) = state(ipc,ip,el)%p(1:nSlip)
c = c + nSlip
case (accumulatedshear_slip_ID)
constitutive_phenopowerlaw_postResults(c+1_pInt:c+nSlip) = state(ipc,ip,el)%p(index_accshear_slip:&
index_accshear_slip+nSlip)
c = c + nSlip
case (shearrate_slip_ID)
j = 0_pInt
slipFamiliesLoop1: do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_phenopowerlaw_Nslip(f,matID) ! process each (active) slip system in family
j = j + 1_pInt
tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,structID))
tau_slip_neg = tau_slip_pos
do k = 1,lattice_NnonSchmid(structID)
tau_slip_pos = tau_slip_pos + constitutive_phenopowerlaw_nonSchmidCoeff(k,matID)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k,index_myFamily+i,structID))
tau_slip_neg = tau_slip_neg + constitutive_phenopowerlaw_nonSchmidCoeff(k,matID)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,structID))
enddo
constitutive_phenopowerlaw_postResults(c+j) = constitutive_phenopowerlaw_gdot0_slip(matID)*0.5_pReal* &
((abs(tau_slip_pos)/state(ipc,ip,el)%p(j))**constitutive_phenopowerlaw_n_slip(matID) &
+(abs(tau_slip_neg)/state(ipc,ip,el)%p(j))**constitutive_phenopowerlaw_n_slip(matID))&
*sign(1.0_pReal,tau_slip_pos)
enddo
enddo slipFamiliesLoop1
c = c + nSlip
case (resolvedstress_slip_ID)
j = 0_pInt
slipFamiliesLoop2: do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_phenopowerlaw_Nslip(f,matID) ! process each (active) slip system in family
j = j + 1_pInt
constitutive_phenopowerlaw_postResults(c+j) = &
dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,structID))
enddo
enddo slipFamiliesLoop2
c = c + nSlip
case (totalshear_ID)
constitutive_phenopowerlaw_postResults(c+1_pInt) = &
state(ipc,ip,el)%p(index_Gamma)
c = c + 1_pInt
case (resistance_twin_ID)
constitutive_phenopowerlaw_postResults(c+1_pInt:c+nTwin) = &
state(ipc,ip,el)%p(1_pInt+nSlip:nTwin+nSlip)
c = c + nTwin
case (accumulatedshear_twin_ID)
constitutive_phenopowerlaw_postResults(c+1_pInt:c+nTwin) = &
state(ipc,ip,el)%p(index_accshear_twin:index_accshear_twin+nTwin)
c = c + nTwin
case (shearrate_twin_ID)
j = 0_pInt
twinFamiliesLoop1: do f = 1_pInt,lattice_maxNtwinFamily
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_phenopowerlaw_Ntwin(f,matID) ! process each (active) twin system in family
j = j + 1_pInt
tau = dot_product(Tstar_v,lattice_Stwin_v(1:6,index_myFamily+i,structID))
constitutive_phenopowerlaw_postResults(c+j) = (1.0_pReal-state(ipc,ip,el)%p(index_F))*& ! 1-F
constitutive_phenopowerlaw_gdot0_twin(matID)*&
(abs(tau)/state(ipc,ip,el)%p(j+nSlip))**&
constitutive_phenopowerlaw_n_twin(matID)*max(0.0_pReal,sign(1.0_pReal,tau))
enddo
enddo twinFamiliesLoop1
c = c + nTwin
case (resolvedstress_twin_ID)
j = 0_pInt
twinFamiliesLoop2: do f = 1_pInt,lattice_maxNtwinFamily
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_phenopowerlaw_Ntwin(f,matID) ! process each (active) twin system in family
j = j + 1_pInt
constitutive_phenopowerlaw_postResults(c+j) = &
dot_product(Tstar_v,lattice_Stwin_v(1:6,index_myFamily+i,structID))
enddo
enddo twinFamiliesLoop2
c = c + nTwin
case (totalvolfrac_ID)
constitutive_phenopowerlaw_postResults(c+1_pInt) = state(ipc,ip,el)%p(index_F)
c = c + 1_pInt
end select
enddo outputsLoop
end function constitutive_phenopowerlaw_postResults
end module constitutive_phenopowerlaw