874 lines
40 KiB
Fortran
874 lines
40 KiB
Fortran
!--------------------------------------------------------------------------------------------------
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! $Id$
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!--------------------------------------------------------------------------------------------------
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!> @author Luv Sharma, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief material subroutine incorporating anisotropic ductile damage
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!> @details to be done
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!--------------------------------------------------------------------------------------------------
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module damage_anisoDuctile
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use prec, only: &
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pReal, &
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pInt
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implicit none
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private
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integer(pInt), dimension(:), allocatable, public, protected :: &
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damage_anisoDuctile_sizePostResults !< cumulative size of post results
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integer(pInt), dimension(:,:), allocatable, target, public :: &
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damage_anisoDuctile_sizePostResult !< size of each post result output
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character(len=64), dimension(:,:), allocatable, target, public :: &
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damage_anisoDuctile_output !< name of each post result output
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integer(pInt), dimension(:), allocatable, target, public :: &
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damage_anisoDuctile_Noutput !< number of outputs per instance of this damage
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integer(pInt), dimension(:), allocatable, private :: &
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damage_anisoDuctile_totalNslip !< total number of slip systems
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integer(pInt), dimension(:,:), allocatable, private :: &
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damage_anisoDuctile_Nslip !< number of slip systems per family
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real(pReal), dimension(:), allocatable, private :: &
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damage_anisoDuctile_aTol_damage
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real(pReal), dimension(:,:), allocatable, private :: &
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damage_anisoDuctile_critPlasticStrain
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real(pReal), dimension(:), allocatable, private :: &
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damage_anisoDuctile_sdot_0, &
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damage_anisoDuctile_N
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real(pReal), dimension(:,:), allocatable, private :: &
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damage_anisoDuctile_critLoad
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enum, bind(c)
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enumerator :: undefined_ID, &
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local_damage_ID
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end enum
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integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: &
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damage_anisoDuctile_outputID !< ID of each post result output
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public :: &
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damage_anisoDuctile_init, &
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damage_anisoDuctile_stateInit, &
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damage_anisoDuctile_aTolState, &
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damage_anisoDuctile_microstructure, &
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damage_anisoDuctile_LdAndItsTangent, &
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damage_anisoDuctile_getFd, &
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damage_anisoDuctile_putFd, &
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damage_anisoDuctile_getFd0, &
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damage_anisoDuctile_getPartionedFd0, &
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damage_anisoDuctile_getDamage, &
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damage_anisoDuctile_putLocalDamage, &
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damage_anisoDuctile_getLocalDamage, &
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damage_anisoDuctile_getSlipDamage, &
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damage_anisoDuctile_postResults
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief module initialization
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!> @details reads in material parameters, allocates arrays, and does sanity checks
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!--------------------------------------------------------------------------------------------------
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subroutine damage_anisoDuctile_init(fileUnit)
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use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
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use debug, only: &
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debug_level,&
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debug_constitutive,&
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debug_levelBasic
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use IO, only: &
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IO_read, &
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IO_lc, &
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IO_getTag, &
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IO_isBlank, &
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IO_stringPos, &
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IO_stringValue, &
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IO_floatValue, &
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IO_intValue, &
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IO_warning, &
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IO_error, &
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IO_timeStamp, &
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IO_EOF
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use material, only: &
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phase_damage, &
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phase_damageInstance, &
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phase_Noutput, &
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LOCAL_damage_anisoDuctile_label, &
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LOCAL_damage_anisoDuctile_ID, &
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material_phase, &
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damageState, &
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MATERIAL_partPhase
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use numerics,only: &
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worldrank, &
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numerics_integrator
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use lattice, only: &
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lattice_maxNslipFamily, &
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lattice_NslipSystem
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implicit none
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integer(pInt), intent(in) :: fileUnit
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integer(pInt), parameter :: MAXNCHUNKS = 7_pInt
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integer(pInt), dimension(1+2*MAXNCHUNKS) :: positions
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integer(pInt) :: maxNinstance,mySize=0_pInt,phase,instance,o
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integer(pInt) :: sizeState, sizeDotState
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integer(pInt) :: NofMyPhase
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integer(pInt) :: Nchunks_SlipFamilies, j
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character(len=65536) :: &
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tag = '', &
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line = ''
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mainProcess: if (worldrank == 0) then
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write(6,'(/,a)') ' <<<+- damage_'//LOCAL_damage_anisoDuctile_LABEL//' init -+>>>'
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write(6,'(a)') ' $Id$'
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write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
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#include "compilation_info.f90"
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endif mainProcess
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maxNinstance = int(count(phase_damage == LOCAL_damage_anisoDuctile_ID),pInt)
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if (maxNinstance == 0_pInt) return
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if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) &
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write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
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allocate(damage_anisoDuctile_sizePostResults(maxNinstance), source=0_pInt)
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allocate(damage_anisoDuctile_sizePostResult(maxval(phase_Noutput),maxNinstance),source=0_pInt)
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allocate(damage_anisoDuctile_output(maxval(phase_Noutput),maxNinstance))
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damage_anisoDuctile_output = ''
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allocate(damage_anisoDuctile_outputID(maxval(phase_Noutput),maxNinstance), source=undefined_ID)
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allocate(damage_anisoDuctile_Noutput(maxNinstance), source=0_pInt)
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allocate(damage_anisoDuctile_critLoad(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
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allocate(damage_anisoDuctile_critPlasticStrain(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal)
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allocate(damage_anisoDuctile_Nslip(lattice_maxNslipFamily,maxNinstance), source=0_pInt)
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allocate(damage_anisoDuctile_totalNslip(maxNinstance), source=0_pInt)
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allocate(damage_anisoDuctile_N(maxNinstance), source=0.0_pReal)
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allocate(damage_anisoDuctile_sdot_0(maxNinstance), source=0.0_pReal)
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allocate(damage_anisoDuctile_aTol_damage(maxNinstance), source=0.0_pReal)
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rewind(fileUnit)
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phase = 0_pInt
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do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= MATERIAL_partPhase) ! wind forward to <phase>
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line = IO_read(fileUnit)
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enddo
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parsingFile: do while (trim(line) /= IO_EOF) ! read through sections of phase part
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line = IO_read(fileUnit)
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if (IO_isBlank(line)) cycle ! skip empty lines
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if (IO_getTag(line,'<','>') /= '') then ! stop at next part
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line = IO_read(fileUnit, .true.) ! reset IO_read
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exit
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endif
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if (IO_getTag(line,'[',']') /= '') then ! next phase section
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phase = phase + 1_pInt ! advance phase section counter
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cycle ! skip to next line
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endif
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if (phase > 0_pInt ) then; if (phase_damage(phase) == LOCAL_damage_anisoDuctile_ID) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
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instance = phase_damageInstance(phase) ! which instance of my damage is present phase
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positions = IO_stringPos(line,MAXNCHUNKS)
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tag = IO_lc(IO_stringValue(line,positions,1_pInt)) ! extract key
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select case(tag)
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case ('(output)')
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select case(IO_lc(IO_stringValue(line,positions,2_pInt)))
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case ('local_damage')
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damage_anisoDuctile_Noutput(instance) = damage_anisoDuctile_Noutput(instance) + 1_pInt
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damage_anisoDuctile_outputID(damage_anisoDuctile_Noutput(instance),instance) = local_damage_ID
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damage_anisoDuctile_output(damage_anisoDuctile_Noutput(instance),instance) = &
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IO_lc(IO_stringValue(line,positions,2_pInt))
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end select
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case ('atol_damage')
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damage_anisoDuctile_aTol_damage(instance) = IO_floatValue(line,positions,2_pInt)
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case ('nslip') !
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Nchunks_SlipFamilies = positions(1) - 1_pInt
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do j = 1_pInt, Nchunks_SlipFamilies
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damage_anisoDuctile_Nslip(j,instance) = IO_intValue(line,positions,1_pInt+j)
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enddo
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case ('sdot0')
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damage_anisoDuctile_sdot_0(instance) = IO_floatValue(line,positions,2_pInt)
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case ('criticalplasticstrain')
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do j = 1_pInt, Nchunks_SlipFamilies
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damage_anisoDuctile_critPlasticStrain(j,instance) = IO_floatValue(line,positions,1_pInt+j)
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enddo
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case ('damageratesensitivity')
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damage_anisoDuctile_N(instance) = IO_floatValue(line,positions,2_pInt)
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case ('criticalload')
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do j = 1_pInt, Nchunks_SlipFamilies
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damage_anisoDuctile_critLoad(j,instance) = IO_floatValue(line,positions,1_pInt+j)
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enddo
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end select
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endif; endif
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enddo parsingFile
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sanityChecks: do phase = 1_pInt, size(phase_damage)
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myPhase: if (phase_damage(phase) == LOCAL_damage_anisoDuctile_ID) then
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NofMyPhase=count(material_phase==phase)
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instance = phase_damageInstance(phase)
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! sanity checks
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damage_anisoDuctile_Nslip(1:lattice_maxNslipFamily,instance) = &
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min(lattice_NslipSystem(1:lattice_maxNslipFamily,phase),& ! limit active cleavage systems per family to min of available and requested
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damage_anisoDuctile_Nslip(1:lattice_maxNslipFamily,instance))
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damage_anisoDuctile_totalNslip(instance) = sum(damage_anisoDuctile_Nslip(:,instance))
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if (damage_anisoDuctile_aTol_damage(instance) < 0.0_pReal) &
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damage_anisoDuctile_aTol_damage(instance) = 1.0e-3_pReal ! default absolute tolerance 1e-3
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if (damage_anisoDuctile_sdot_0(instance) <= 0.0_pReal) &
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call IO_error(211_pInt,el=instance,ext_msg='sdot_0 ('//LOCAL_DAMAGE_anisoDuctile_LABEL//')')
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if (any(damage_anisoDuctile_critPlasticStrain(:,instance) < 0.0_pReal)) &
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call IO_error(211_pInt,el=instance,ext_msg='criticaPlasticStrain ('//LOCAL_DAMAGE_anisoDuctile_LABEL//')')
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if (damage_anisoDuctile_N(instance) <= 0.0_pReal) &
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call IO_error(211_pInt,el=instance,ext_msg='rate_sensitivity_damage ('//LOCAL_DAMAGE_anisoDuctile_LABEL//')')
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endif myPhase
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enddo sanityChecks
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initializeInstances: do phase = 1_pInt, size(phase_damage)
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if (phase_damage(phase) == LOCAL_damage_anisoDuctile_ID) then
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NofMyPhase=count(material_phase==phase)
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instance = phase_damageInstance(phase)
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!--------------------------------------------------------------------------------------------------
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! Determine size of postResults array
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outputsLoop: do o = 1_pInt,damage_anisoDuctile_Noutput(instance)
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select case(damage_anisoDuctile_outputID(o,instance))
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case(local_damage_ID)
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mySize = 1_pInt
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end select
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if (mySize > 0_pInt) then ! any meaningful output found
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damage_anisoDuctile_sizePostResult(o,instance) = mySize
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damage_anisoDuctile_sizePostResults(instance) = damage_anisoDuctile_sizePostResults(instance) + mySize
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endif
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enddo outputsLoop
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! Determine size of state array
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sizeDotState = 0_pInt
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sizeState = sizeDotState + &
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1_pInt + & ! time regularised damage
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damage_anisoDuctile_totalNslip(instance) + & ! slip system damages
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9 ! Fd
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damageState(phase)%sizeState = sizeState
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damageState(phase)%sizeDotState = sizeDotState
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damageState(phase)%sizePostResults = damage_anisoDuctile_sizePostResults(instance)
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allocate(damageState(phase)%aTolState (sizeState), source=0.0_pReal)
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allocate(damageState(phase)%state0 (sizeState,NofMyPhase), source=0.0_pReal)
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allocate(damageState(phase)%partionedState0 (sizeState,NofMyPhase), source=0.0_pReal)
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allocate(damageState(phase)%subState0 (sizeState,NofMyPhase), source=0.0_pReal)
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allocate(damageState(phase)%state (sizeState,NofMyPhase), source=0.0_pReal)
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allocate(damageState(phase)%state_backup (sizeState,NofMyPhase), source=0.0_pReal)
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allocate(damageState(phase)%dotState (sizeDotState,NofMyPhase), source=0.0_pReal)
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allocate(damageState(phase)%deltaState (sizeDotState,NofMyPhase), source=0.0_pReal)
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allocate(damageState(phase)%dotState_backup (sizeDotState,NofMyPhase), source=0.0_pReal)
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if (any(numerics_integrator == 1_pInt)) then
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allocate(damageState(phase)%previousDotState (sizeDotState,NofMyPhase), source=0.0_pReal)
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allocate(damageState(phase)%previousDotState2 (sizeDotState,NofMyPhase), source=0.0_pReal)
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endif
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if (any(numerics_integrator == 4_pInt)) &
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allocate(damageState(phase)%RK4dotState (sizeDotState,NofMyPhase), source=0.0_pReal)
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if (any(numerics_integrator == 5_pInt)) &
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allocate(damageState(phase)%RKCK45dotState (6,sizeDotState,NofMyPhase),source=0.0_pReal)
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call damage_anisoDuctile_stateInit(phase,instance)
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call damage_anisoDuctile_aTolState(phase,instance)
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endif
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enddo initializeInstances
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end subroutine damage_anisoDuctile_init
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!--------------------------------------------------------------------------------------------------
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!> @brief sets the relevant state values for a given instance of this damage
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!--------------------------------------------------------------------------------------------------
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subroutine damage_anisoDuctile_stateInit(phase, instance)
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use material, only: &
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damageState
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use math, only: &
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math_I3
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implicit none
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integer(pInt), intent(in) :: phase , instance !< number specifying the phase of the damage
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real(pReal), dimension(damageState(phase)%sizeState) :: tempState
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tempState(1) = 1.0_pReal
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tempState(2 : &
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1 + damage_anisoDuctile_totalNslip(instance)) = 1.0_pReal
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tempState(damage_anisoDuctile_totalNslip(instance)+2: &
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damage_anisoDuctile_totalNslip(instance)+10) = reshape(math_I3, shape=[9])
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damageState(phase)%state = spread(tempState,2,size(damageState(phase)%state(1,:)))
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damageState(phase)%state0 = damageState(phase)%state
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damageState(phase)%partionedState0 = damageState(phase)%state
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end subroutine damage_anisoDuctile_stateInit
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!--------------------------------------------------------------------------------------------------
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!> @brief sets the relevant state values for a given instance of this damage
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!--------------------------------------------------------------------------------------------------
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subroutine damage_anisoDuctile_aTolState(phase,instance)
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use material, only: &
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damageState
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implicit none
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integer(pInt), intent(in) :: &
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phase, &
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instance ! number specifying the current instance of the damage
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real(pReal), dimension(damageState(phase)%sizeState) :: tempTol
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tempTol = damage_anisoDuctile_aTol_damage(instance)
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damageState(phase)%aTolState = tempTol
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end subroutine damage_anisoDuctile_aTolState
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates derived quantities from state
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!--------------------------------------------------------------------------------------------------
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subroutine damage_anisoDuctile_microstructure(subdt, ipc, ip, el)
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use material, only: &
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mappingConstitutive, &
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phase_damageInstance, &
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plasticState, &
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damageState
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use lattice, only: &
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lattice_maxNslipFamily
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use lattice, only: &
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lattice_DamageMobility
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implicit none
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integer(pInt), intent(in) :: &
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ipc, & !< component-ID of integration point
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ip, & !< integration point
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el !< element
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real(pReal), intent(in) :: &
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subdt
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integer(pInt) :: &
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phase, &
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constituent, &
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instance, &
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index, f, i
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real(pReal) :: &
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localDamage, &
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drivingForce
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phase = mappingConstitutive(2,ipc,ip,el)
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constituent = mappingConstitutive(1,ipc,ip,el)
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instance = phase_damageInstance(phase)
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localDamage = minval(damageState(phase)%state(2:1+damage_anisoDuctile_totalNslip(instance),constituent))
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index = 1_pInt
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do f = 1_pInt,lattice_maxNslipFamily
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do i = 1_pInt,damage_anisoDuctile_Nslip(f,instance) ! process each (active) slip system in family
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if (localDamage == damageState(phase)%state(index+1,constituent)) then
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drivingForce = plasticState(phase)%accumulatedSlip(index,constituent)/damage_anisoDuctile_critPlasticStrain(f,instance) - &
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damage_anisoDuctile_getDamage(ipc, ip, el)
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damageState(phase)%state(index+1,constituent) = &
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min(damageState(phase)%state0(index+1,constituent), &
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(sqrt(drivingForce*drivingForce + 4.0_pReal) - drivingForce)/2.0_pReal)
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else
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drivingForce = plasticState(phase)%accumulatedSlip(index,constituent)/damage_anisoDuctile_critPlasticStrain(f,instance)
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damageState(phase)%state(index+1,constituent) = &
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min(damageState(phase)%state0(index+1,constituent), &
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1.0_pReal/drivingForce) ! irreversibility
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endif
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index = index + 1_pInt
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enddo
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enddo
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localDamage = minval(damageState(phase)%state(2:1+damage_anisoDuctile_totalNslip(instance),constituent))
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damageState(phase)%state(1,constituent) = &
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localDamage + &
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(damageState(phase)%subState0(1,constituent) - localDamage)* &
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exp(-subdt/lattice_DamageMobility(phase))
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end subroutine damage_anisoDuctile_microstructure
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!--------------------------------------------------------------------------------------------------
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!> @brief contains the constitutive equation for calculating the velocity gradient
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!--------------------------------------------------------------------------------------------------
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subroutine damage_anisoDuctile_LdAndItsTangent(Ld, dLd_dTstar, Tstar_v, ipc, ip, el)
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use numerics, only: &
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residualStiffness
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use lattice, only: &
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lattice_maxNslipFamily, &
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lattice_NslipSystem, &
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lattice_sd, &
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lattice_st, &
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lattice_sn
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use material, only: &
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|
mappingConstitutive, &
|
|
phase_damageInstance, &
|
|
damageState
|
|
use math, only: &
|
|
math_Plain3333to99, &
|
|
math_I3, &
|
|
math_identity4th, &
|
|
math_symmetric33, &
|
|
math_Mandel33to6, &
|
|
math_tensorproduct
|
|
|
|
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
|
|
real(pReal), intent(out), dimension(3,3) :: &
|
|
Ld !< damage velocity gradient
|
|
real(pReal), intent(out), dimension(9,9) :: &
|
|
dLd_dTstar !< derivative of Ld with respect to Tstar (2nd-order tensor)
|
|
real(pReal), dimension(3,3,3,3) :: &
|
|
dLd_dTstar3333 !< derivative of Ld with respect to Tstar (4th-order tensor)
|
|
real(pReal), dimension(3,3) :: &
|
|
projection_d, projection_t, projection_n !< projection modes 3x3 tensor
|
|
real(pReal), dimension(6) :: &
|
|
projection_d_v, projection_t_v, projection_n_v !< projection modes 3x3 vector
|
|
integer(pInt) :: &
|
|
phase, &
|
|
constituent, &
|
|
instance, &
|
|
f, i, index, index_myFamily, k, l, m, n
|
|
real(pReal) :: &
|
|
traction_d, traction_t, traction_n, traction_crit, &
|
|
udotd, dudotd_dt, udott, dudott_dt, udotn, dudotn_dt
|
|
|
|
phase = mappingConstitutive(2,ipc,ip,el)
|
|
constituent = mappingConstitutive(1,ipc,ip,el)
|
|
instance = phase_damageInstance(phase)
|
|
|
|
Ld = 0.0_pReal
|
|
dLd_dTstar3333 = 0.0_pReal
|
|
|
|
|
|
index = 2_pInt
|
|
do f = 1_pInt,lattice_maxNslipFamily
|
|
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,phase)) ! at which index starts my family
|
|
do i = 1_pInt,damage_anisoDuctile_Nslip(f,instance) ! process each (active) slip system in family
|
|
|
|
projection_d = math_tensorproduct(lattice_sd(1:3,index_myFamily+i,phase),&
|
|
lattice_sn(1:3,index_myFamily+i,phase))
|
|
projection_t = math_tensorproduct(lattice_st(1:3,index_myFamily+i,phase),&
|
|
lattice_sn(1:3,index_myFamily+i,phase))
|
|
projection_n = math_tensorproduct(lattice_sn(1:3,index_myFamily+i,phase),&
|
|
lattice_sn(1:3,index_myFamily+i,phase))
|
|
|
|
projection_d_v(1:6) = math_Mandel33to6(math_symmetric33(projection_d(1:3,1:3)))
|
|
projection_t_v(1:6) = math_Mandel33to6(math_symmetric33(projection_t(1:3,1:3)))
|
|
projection_n_v(1:6) = math_Mandel33to6(math_symmetric33(projection_n(1:3,1:3)))
|
|
|
|
traction_d = dot_product(Tstar_v,projection_d_v(1:6))
|
|
traction_t = dot_product(Tstar_v,projection_t_v(1:6))
|
|
traction_n = dot_product(Tstar_v,projection_n_v(1:6))
|
|
|
|
traction_crit = damage_anisoDuctile_critLoad(f,instance)* &
|
|
(damageState(phase)%state0(index,constituent) + residualStiffness) ! degrading critical load carrying capacity by damage
|
|
|
|
udotd = &
|
|
sign(1.0_pReal,traction_d)* &
|
|
damage_anisoDuctile_sdot_0(instance)* &
|
|
(abs(traction_d)/traction_crit)**damage_anisoDuctile_N(instance)
|
|
if (udotd /= 0.0_pReal) then
|
|
Ld = Ld + udotd*projection_d
|
|
dudotd_dt = udotd*damage_anisoDuctile_N(instance)/traction_d
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
|
dLd_dTstar3333(k,l,m,n) = dLd_dTstar3333(k,l,m,n) + &
|
|
dudotd_dt*projection_d(k,l)* projection_d(m,n)
|
|
endif
|
|
|
|
udott = &
|
|
sign(1.0_pReal,traction_t)* &
|
|
damage_anisoDuctile_sdot_0(instance)* &
|
|
(abs(traction_t)/traction_crit)**damage_anisoDuctile_N(instance)
|
|
if (udott /= 0.0_pReal) then
|
|
Ld = Ld + udott*projection_t
|
|
dudott_dt = udott*damage_anisoDuctile_N(instance)/traction_t
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
|
dLd_dTstar3333(k,l,m,n) = dLd_dTstar3333(k,l,m,n) + &
|
|
dudott_dt*projection_t(k,l)*projection_t(m,n)
|
|
endif
|
|
udotn = &
|
|
damage_anisoDuctile_sdot_0(instance)* &
|
|
(max(0.0_pReal,traction_n)/traction_crit)**damage_anisoDuctile_N(instance)
|
|
if (udotn /= 0.0_pReal) then
|
|
Ld = Ld + udotn*projection_n(1:3,1:3)
|
|
dudotn_dt = udotn*damage_anisoDuctile_N(instance)/traction_n
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
|
dLd_dTstar3333(k,l,m,n) = dLd_dTstar3333(k,l,m,n) + &
|
|
dudotn_dt*projection_n(k,l)* projection_n(m,n)
|
|
endif
|
|
index = index + 1_pInt
|
|
enddo
|
|
enddo
|
|
|
|
dLd_dTstar = math_Plain3333to99(dLd_dTstar3333)
|
|
|
|
end subroutine damage_anisoDuctile_LdAndItsTangent
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns local damage deformation gradient
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure function damage_anisoDuctile_getFd(ipc, ip, el)
|
|
use material, only: &
|
|
mappingConstitutive, &
|
|
phase_damageInstance, &
|
|
damageState
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
integer(pInt) :: &
|
|
phase, &
|
|
constituent, &
|
|
instance
|
|
real(pReal), dimension(3,3) :: &
|
|
damage_anisoDuctile_getFd
|
|
|
|
phase = mappingConstitutive(2,ipc,ip,el)
|
|
constituent = mappingConstitutive(1,ipc,ip,el)
|
|
instance = phase_damageInstance(phase)
|
|
|
|
damage_anisoDuctile_getFd = &
|
|
reshape(damageState(phase)% &
|
|
state(damage_anisoDuctile_totalNslip(instance)+2: &
|
|
damage_anisoDuctile_totalNslip(instance)+10,constituent), &
|
|
shape=[3,3])
|
|
|
|
end function damage_anisoDuctile_getFd
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief calculates derived quantities from state
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine damage_anisoDuctile_putFd(Tstar_v, dt, ipc, ip, el)
|
|
use numerics, only: &
|
|
residualStiffness
|
|
use material, only: &
|
|
mappingConstitutive, &
|
|
phase_damageInstance, &
|
|
damageState
|
|
use math, only: &
|
|
math_mul33x33, &
|
|
math_inv33, &
|
|
math_Plain3333to99, &
|
|
math_I3, &
|
|
math_identity4th, &
|
|
math_symmetric33, &
|
|
math_Mandel33to6, &
|
|
math_tensorproduct
|
|
use lattice, only: &
|
|
lattice_maxNslipFamily, &
|
|
lattice_NslipSystem, &
|
|
lattice_sd, &
|
|
lattice_st, &
|
|
lattice_sn
|
|
|
|
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
|
|
real(pReal), intent(in) :: &
|
|
dt
|
|
real(pReal), dimension(3,3) :: &
|
|
Ld !< damage velocity gradient
|
|
real(pReal), dimension(3,3) :: &
|
|
projection_d, projection_t, projection_n !< projection modes 3x3 tensor
|
|
real(pReal), dimension(6) :: &
|
|
projection_d_v, projection_t_v, projection_n_v !< projection modes 3x3 vector
|
|
integer(pInt) :: &
|
|
phase, &
|
|
constituent, &
|
|
instance, &
|
|
f, i, index, index_myFamily
|
|
real(pReal) :: &
|
|
traction_d, traction_t, traction_n, traction_crit, &
|
|
udotd, udott, udotn
|
|
|
|
phase = mappingConstitutive(2,ipc,ip,el)
|
|
constituent = mappingConstitutive(1,ipc,ip,el)
|
|
instance = phase_damageInstance(phase)
|
|
index = 2_pInt
|
|
Ld = 0.0_pReal
|
|
do f = 1_pInt,lattice_maxNslipFamily
|
|
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,phase)) ! at which index starts my family
|
|
do i = 1_pInt,damage_anisoDuctile_Nslip(f,instance) ! process each (active) slip system in family
|
|
|
|
projection_d = math_tensorproduct(lattice_sd(1:3,index_myFamily+i,phase),&
|
|
lattice_sn(1:3,index_myFamily+i,phase))
|
|
projection_t = math_tensorproduct(lattice_st(1:3,index_myFamily+i,phase),&
|
|
lattice_sn(1:3,index_myFamily+i,phase))
|
|
projection_n = math_tensorproduct(lattice_sn(1:3,index_myFamily+i,phase),&
|
|
lattice_sn(1:3,index_myFamily+i,phase))
|
|
|
|
projection_d_v(1:6) = math_Mandel33to6(math_symmetric33(projection_d(1:3,1:3)))
|
|
projection_t_v(1:6) = math_Mandel33to6(math_symmetric33(projection_t(1:3,1:3)))
|
|
projection_n_v(1:6) = math_Mandel33to6(math_symmetric33(projection_n(1:3,1:3)))
|
|
|
|
traction_d = dot_product(Tstar_v,projection_d_v(1:6))
|
|
traction_t = dot_product(Tstar_v,projection_t_v(1:6))
|
|
traction_n = dot_product(Tstar_v,projection_n_v(1:6))
|
|
|
|
traction_crit = damage_anisoDuctile_critLoad(f,instance)* &
|
|
(damageState(phase)%state0(index,constituent) + residualStiffness) ! degrading critical load carrying capacity by damage
|
|
|
|
udotd = &
|
|
sign(1.0_pReal,traction_d)* &
|
|
damage_anisoDuctile_sdot_0(instance)* &
|
|
(abs(traction_d)/traction_crit)**damage_anisoDuctile_N(instance)
|
|
if (udotd /= 0.0_pReal) then
|
|
Ld = Ld + udotd*projection_d
|
|
endif
|
|
|
|
udott = &
|
|
sign(1.0_pReal,traction_t)* &
|
|
damage_anisoDuctile_sdot_0(instance)* &
|
|
(abs(traction_t)/traction_crit)**damage_anisoDuctile_N(instance)
|
|
if (udott /= 0.0_pReal) then
|
|
Ld = Ld + udott*projection_t
|
|
endif
|
|
|
|
udotn = &
|
|
damage_anisoDuctile_sdot_0(instance)* &
|
|
(max(0.0_pReal,traction_n)/traction_crit)**damage_anisoDuctile_N(instance)
|
|
if (udotn /= 0.0_pReal) then
|
|
Ld = Ld + udotn*projection_n(1:3,1:3)
|
|
endif
|
|
|
|
index = index + 1_pInt
|
|
enddo
|
|
enddo
|
|
|
|
damageState(phase)%state(damage_anisoDuctile_totalNslip(instance)+2: &
|
|
damage_anisoDuctile_totalNslip(instance)+10,constituent) = &
|
|
reshape(math_mul33x33(math_inv33(math_I3 - dt*Ld), &
|
|
damage_anisoDuctile_getFd0(ipc, ip, el)), shape=[9])
|
|
|
|
end subroutine damage_anisoDuctile_putFd
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns local damage deformation gradient
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure function damage_anisoDuctile_getFd0(ipc, ip, el)
|
|
use material, only: &
|
|
mappingConstitutive, &
|
|
phase_damageInstance, &
|
|
damageState
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
integer(pInt) :: &
|
|
phase, &
|
|
constituent, &
|
|
instance
|
|
real(pReal), dimension(3,3) :: &
|
|
damage_anisoDuctile_getFd0
|
|
|
|
phase = mappingConstitutive(2,ipc,ip,el)
|
|
constituent = mappingConstitutive(1,ipc,ip,el)
|
|
instance = phase_damageInstance(phase)
|
|
|
|
damage_anisoDuctile_getFd0 = &
|
|
reshape(damageState(phase)% &
|
|
subState0(damage_anisoDuctile_totalNslip(instance)+2: &
|
|
damage_anisoDuctile_totalNslip(instance)+10,constituent), &
|
|
shape=[3,3])
|
|
|
|
end function damage_anisoDuctile_getFd0
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns local damage deformation gradient
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure function damage_anisoDuctile_getPartionedFd0(ipc, ip, el)
|
|
use material, only: &
|
|
mappingConstitutive, &
|
|
phase_damageInstance, &
|
|
damageState
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
integer(pInt) :: &
|
|
phase, &
|
|
constituent, &
|
|
instance
|
|
real(pReal), dimension(3,3) :: &
|
|
damage_anisoDuctile_getPartionedFd0
|
|
|
|
phase = mappingConstitutive(2,ipc,ip,el)
|
|
constituent = mappingConstitutive(1,ipc,ip,el)
|
|
instance = phase_damageInstance(phase)
|
|
|
|
damage_anisoDuctile_getPartionedFd0 = &
|
|
reshape(damageState(phase)% &
|
|
partionedState0(damage_anisoDuctile_totalNslip(instance)+2: &
|
|
damage_anisoDuctile_totalNslip(instance)+10,constituent), &
|
|
shape=[3,3])
|
|
|
|
end function damage_anisoDuctile_getPartionedFd0
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns damage
|
|
!--------------------------------------------------------------------------------------------------
|
|
function damage_anisoDuctile_getDamage(ipc, ip, el)
|
|
use material, only: &
|
|
material_homog, &
|
|
mappingHomogenization, &
|
|
mappingConstitutive, &
|
|
damageState, &
|
|
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) :: damage_anisoDuctile_getDamage
|
|
|
|
select case(field_damage_type(material_homog(ip,el)))
|
|
case (FIELD_DAMAGE_LOCAL_ID)
|
|
damage_anisoDuctile_getDamage = damageState(mappingConstitutive(2,ipc,ip,el))% &
|
|
state0(1,mappingConstitutive(1,ipc,ip,el))
|
|
|
|
case (FIELD_DAMAGE_NONLOCAL_ID)
|
|
damage_anisoDuctile_getDamage = fieldDamage(material_homog(ip,el))% &
|
|
field(1,mappingHomogenization(1,ip,el)) ! Taylor type
|
|
|
|
end select
|
|
|
|
end function damage_anisoDuctile_getDamage
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns damage value based on local damage
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine damage_anisoDuctile_putLocalDamage(ipc, ip, el, localDamage)
|
|
use material, only: &
|
|
mappingConstitutive, &
|
|
damageState
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
real(pReal), intent(in) :: &
|
|
localDamage
|
|
|
|
damageState(mappingConstitutive(2,ipc,ip,el))%state(1,mappingConstitutive(1,ipc,ip,el)) = &
|
|
localDamage
|
|
|
|
end subroutine damage_anisoDuctile_putLocalDamage
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns local damage
|
|
!--------------------------------------------------------------------------------------------------
|
|
function damage_anisoDuctile_getLocalDamage(ipc, ip, el)
|
|
use material, only: &
|
|
mappingConstitutive, &
|
|
damageState
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
real(pReal) :: &
|
|
damage_anisoDuctile_getLocalDamage
|
|
|
|
damage_anisoDuctile_getLocalDamage = &
|
|
damageState(mappingConstitutive(2,ipc,ip,el))%state(1,mappingConstitutive(1,ipc,ip,el))
|
|
|
|
end function damage_anisoDuctile_getLocalDamage
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns slip system damage
|
|
!--------------------------------------------------------------------------------------------------
|
|
function damage_anisoDuctile_getSlipDamage(ipc, ip, el)
|
|
use numerics, only: &
|
|
residualStiffness
|
|
use material, only: &
|
|
mappingConstitutive, &
|
|
phase_damageInstance, &
|
|
damageState
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
real(pReal) :: &
|
|
damage_anisoDuctile_getSlipDamage(damage_anisoDuctile_totalNslip( &
|
|
phase_damageInstance(mappingConstitutive(2,ipc,ip,el))))
|
|
integer(pInt) :: &
|
|
phase, &
|
|
constituent, &
|
|
instance
|
|
|
|
phase = mappingConstitutive(2,ipc,ip,el)
|
|
constituent = mappingConstitutive(1,ipc,ip,el)
|
|
instance = phase_damageInstance(phase)
|
|
|
|
damage_anisoDuctile_getSlipDamage = &
|
|
damageState(phase)%state0(2:1+damage_anisoDuctile_totalNslip(instance),constituent) + &
|
|
residualStiffness
|
|
|
|
end function damage_anisoDuctile_getSlipDamage
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief return array of constitutive results
|
|
!--------------------------------------------------------------------------------------------------
|
|
function damage_anisoDuctile_postResults(ipc,ip,el)
|
|
use material, only: &
|
|
mappingConstitutive, &
|
|
phase_damageInstance
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implicit none
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integer(pInt), intent(in) :: &
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ipc, & !< component-ID of integration point
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ip, & !< integration point
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el !< element
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real(pReal), dimension(damage_anisoDuctile_sizePostResults(phase_damageInstance(mappingConstitutive(2,ipc,ip,el)))) :: &
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damage_anisoDuctile_postResults
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integer(pInt) :: &
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instance, phase, constituent, o, c
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phase = mappingConstitutive(2,ipc,ip,el)
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constituent = mappingConstitutive(1,ipc,ip,el)
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instance = phase_damageInstance(phase)
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c = 0_pInt
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damage_anisoDuctile_postResults = 0.0_pReal
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do o = 1_pInt,damage_anisoDuctile_Noutput(instance)
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select case(damage_anisoDuctile_outputID(o,instance))
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case (local_damage_ID)
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damage_anisoDuctile_postResults(c+1_pInt) = &
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damage_anisoDuctile_getLocalDamage(ipc, ip, el)
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c = c + 1_pInt
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end select
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enddo
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end function damage_anisoDuctile_postResults
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end module damage_anisoDuctile
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