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!--------------------------------------------------------------------------------------------------
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! $Id$
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!--------------------------------------------------------------------------------------------------
!> @author Luv Sharma, Max-Planck-Institut für Eisenforschung GmbH
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine incorporating anisotropic ductile damage
!> @details to be done
!--------------------------------------------------------------------------------------------------
module damage_anisoDuctile
use prec , only : &
pReal , &
pInt
implicit none
private
integer ( pInt ) , dimension ( : ) , allocatable , public , protected :: &
damage_anisoDuctile_sizePostResults !< cumulative size of post results
integer ( pInt ) , dimension ( : , : ) , allocatable , target , public :: &
damage_anisoDuctile_sizePostResult !< size of each post result output
character ( len = 64 ) , dimension ( : , : ) , allocatable , target , public :: &
damage_anisoDuctile_output !< name of each post result output
integer ( pInt ) , dimension ( : ) , allocatable , target , public :: &
damage_anisoDuctile_Noutput !< number of outputs per instance of this damage
integer ( pInt ) , dimension ( : ) , allocatable , private :: &
damage_anisoDuctile_totalNslip !< total number of slip systems
integer ( pInt ) , dimension ( : , : ) , allocatable , private :: &
damage_anisoDuctile_Nslip !< number of slip systems per family
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 :: &
damage_anisoDuctile_sdot_0 , &
damage_anisoDuctile_N
real ( pReal ) , dimension ( : , : ) , allocatable , private :: &
damage_anisoDuctile_critLoad
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enum , bind ( c )
enumerator :: undefined_ID , &
local_damage_ID
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end enum
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integer ( kind ( undefined_ID ) ) , dimension ( : , : ) , allocatable , private :: &
damage_anisoDuctile_outputID !< ID of each post result output
public :: &
damage_anisoDuctile_init , &
damage_anisoDuctile_stateInit , &
damage_anisoDuctile_aTolState , &
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damage_anisoDuctile_microstructure , &
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damage_anisoDuctile_LdAndItsTangent , &
damage_anisoDuctile_getFd , &
damage_anisoDuctile_putFd , &
damage_anisoDuctile_getFd0 , &
damage_anisoDuctile_getPartionedFd0 , &
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damage_anisoDuctile_getDamage , &
damage_anisoDuctile_putLocalDamage , &
damage_anisoDuctile_getLocalDamage , &
damage_anisoDuctile_getSlipDamage , &
damage_anisoDuctile_postResults
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine damage_anisoDuctile_init ( fileUnit )
use , intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
use debug , only : &
debug_level , &
debug_constitutive , &
debug_levelBasic
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 : &
phase_damage , &
phase_damageInstance , &
phase_Noutput , &
LOCAL_damage_anisoDuctile_label , &
LOCAL_damage_anisoDuctile_ID , &
material_phase , &
damageState , &
MATERIAL_partPhase
use numerics , only : &
worldrank , &
numerics_integrator
use lattice , only : &
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lattice_maxNslipFamily , &
lattice_NslipSystem
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implicit none
integer ( pInt ) , intent ( in ) :: fileUnit
integer ( pInt ) , parameter :: MAXNCHUNKS = 7_pInt
integer ( pInt ) , dimension ( 1 + 2 * MAXNCHUNKS ) :: positions
integer ( pInt ) :: maxNinstance , mySize = 0_pInt , phase , instance , o
integer ( pInt ) :: sizeState , sizeDotState
integer ( pInt ) :: NofMyPhase
integer ( pInt ) :: Nchunks_SlipFamilies , j
character ( len = 65536 ) :: &
tag = '' , &
line = ''
mainProcess : if ( worldrank == 0 ) then
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 ( )
#include "compilation_info.f90"
endif mainProcess
maxNinstance = int ( count ( phase_damage == LOCAL_damage_anisoDuctile_ID ) , pInt )
if ( maxNinstance == 0_pInt ) return
if ( iand ( debug_level ( debug_constitutive ) , debug_levelBasic ) / = 0_pInt ) &
write ( 6 , '(a16,1x,i5,/)' ) '# instances:' , maxNinstance
allocate ( damage_anisoDuctile_sizePostResults ( maxNinstance ) , source = 0_pInt )
allocate ( damage_anisoDuctile_sizePostResult ( maxval ( phase_Noutput ) , maxNinstance ) , source = 0_pInt )
allocate ( damage_anisoDuctile_output ( maxval ( phase_Noutput ) , maxNinstance ) )
damage_anisoDuctile_output = ''
allocate ( damage_anisoDuctile_outputID ( maxval ( phase_Noutput ) , maxNinstance ) , source = undefined_ID )
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 )
allocate ( damage_anisoDuctile_totalNslip ( maxNinstance ) , source = 0_pInt )
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allocate ( damage_anisoDuctile_N ( maxNinstance ) , source = 0.0_pReal )
allocate ( damage_anisoDuctile_sdot_0 ( maxNinstance ) , source = 0.0_pReal )
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allocate ( damage_anisoDuctile_aTol_damage ( maxNinstance ) , source = 0.0_pReal )
rewind ( fileUnit )
phase = 0_pInt
do while ( trim ( line ) / = IO_EOF . and . IO_lc ( IO_getTag ( line , '<' , '>' ) ) / = MATERIAL_partPhase ) ! wind forward to <phase>
line = IO_read ( fileUnit )
enddo
parsingFile : do while ( trim ( line ) / = IO_EOF ) ! read through sections of phase part
line = IO_read ( fileUnit )
if ( IO_isBlank ( line ) ) cycle ! skip empty lines
if ( IO_getTag ( line , '<' , '>' ) / = '' ) then ! stop at next part
line = IO_read ( fileUnit , . true . ) ! reset IO_read
exit
endif
if ( IO_getTag ( line , '[' , ']' ) / = '' ) then ! next phase section
phase = phase + 1_pInt ! advance phase section counter
cycle ! skip to next line
endif
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
instance = phase_damageInstance ( phase ) ! which instance of my damage is present phase
positions = IO_stringPos ( line , MAXNCHUNKS )
tag = IO_lc ( IO_stringValue ( line , positions , 1_pInt ) ) ! extract key
select case ( tag )
case ( '(output)' )
select case ( IO_lc ( IO_stringValue ( line , positions , 2_pInt ) ) )
case ( 'local_damage' )
damage_anisoDuctile_Noutput ( instance ) = damage_anisoDuctile_Noutput ( instance ) + 1_pInt
damage_anisoDuctile_outputID ( damage_anisoDuctile_Noutput ( instance ) , instance ) = local_damage_ID
damage_anisoDuctile_output ( damage_anisoDuctile_Noutput ( instance ) , instance ) = &
IO_lc ( IO_stringValue ( line , positions , 2_pInt ) )
end select
case ( 'atol_damage' )
damage_anisoDuctile_aTol_damage ( instance ) = IO_floatValue ( line , positions , 2_pInt )
case ( 'nslip' ) !
Nchunks_SlipFamilies = positions ( 1 ) - 1_pInt
do j = 1_pInt , Nchunks_SlipFamilies
damage_anisoDuctile_Nslip ( j , instance ) = IO_intValue ( line , positions , 1_pInt + j )
enddo
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case ( 'sdot0' )
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' )
damage_anisoDuctile_N ( instance ) = IO_floatValue ( line , positions , 2_pInt )
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case ( 'criticalload' )
do j = 1_pInt , Nchunks_SlipFamilies
damage_anisoDuctile_critLoad ( j , instance ) = IO_floatValue ( line , positions , 1_pInt + j )
enddo
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end select
endif ; endif
enddo parsingFile
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sanityChecks : do phase = 1_pInt , size ( phase_damage )
myPhase : if ( phase_damage ( phase ) == LOCAL_damage_anisoDuctile_ID ) then
NofMyPhase = count ( material_phase == phase )
instance = phase_damageInstance ( phase )
! sanity checks
damage_anisoDuctile_Nslip ( 1 : lattice_maxNslipFamily , instance ) = &
min ( lattice_NslipSystem ( 1 : lattice_maxNslipFamily , phase ) , & ! limit active cleavage systems per family to min of available and requested
damage_anisoDuctile_Nslip ( 1 : lattice_maxNslipFamily , instance ) )
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 ) &
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 ) ) &
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 ) &
call IO_error ( 211_pInt , el = instance , ext_msg = 'rate_sensitivity_damage (' / / LOCAL_DAMAGE_anisoDuctile_LABEL / / ')' )
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endif myPhase
enddo sanityChecks
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initializeInstances : do phase = 1_pInt , size ( phase_damage )
if ( phase_damage ( phase ) == LOCAL_damage_anisoDuctile_ID ) then
NofMyPhase = count ( material_phase == phase )
instance = phase_damageInstance ( phase )
!--------------------------------------------------------------------------------------------------
! Determine size of postResults array
outputsLoop : do o = 1_pInt , damage_anisoDuctile_Noutput ( instance )
select case ( damage_anisoDuctile_outputID ( o , instance ) )
case ( local_damage_ID )
mySize = 1_pInt
end select
if ( mySize > 0_pInt ) then ! any meaningful output found
damage_anisoDuctile_sizePostResult ( o , instance ) = mySize
damage_anisoDuctile_sizePostResults ( instance ) = damage_anisoDuctile_sizePostResults ( instance ) + mySize
endif
enddo outputsLoop
! 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
damage_anisoDuctile_totalNslip ( instance ) + & ! slip system damages
9 ! Fd
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damageState ( phase ) % sizeState = sizeState
damageState ( phase ) % sizeDotState = sizeDotState
damageState ( phase ) % sizePostResults = damage_anisoDuctile_sizePostResults ( instance )
allocate ( damageState ( phase ) % aTolState ( sizeState ) , source = 0.0_pReal )
allocate ( damageState ( phase ) % state0 ( sizeState , NofMyPhase ) , source = 0.0_pReal )
allocate ( damageState ( phase ) % partionedState0 ( sizeState , NofMyPhase ) , source = 0.0_pReal )
allocate ( damageState ( phase ) % subState0 ( sizeState , NofMyPhase ) , source = 0.0_pReal )
allocate ( damageState ( phase ) % state ( sizeState , NofMyPhase ) , source = 0.0_pReal )
allocate ( damageState ( phase ) % state_backup ( sizeState , NofMyPhase ) , source = 0.0_pReal )
allocate ( damageState ( phase ) % dotState ( sizeDotState , NofMyPhase ) , source = 0.0_pReal )
allocate ( damageState ( phase ) % deltaState ( sizeDotState , NofMyPhase ) , source = 0.0_pReal )
allocate ( damageState ( phase ) % dotState_backup ( sizeDotState , NofMyPhase ) , source = 0.0_pReal )
if ( any ( numerics_integrator == 1_pInt ) ) then
allocate ( damageState ( phase ) % previousDotState ( sizeDotState , NofMyPhase ) , source = 0.0_pReal )
allocate ( damageState ( phase ) % previousDotState2 ( sizeDotState , NofMyPhase ) , source = 0.0_pReal )
endif
if ( any ( numerics_integrator == 4_pInt ) ) &
allocate ( damageState ( phase ) % RK4dotState ( sizeDotState , NofMyPhase ) , source = 0.0_pReal )
if ( any ( numerics_integrator == 5_pInt ) ) &
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 )
endif
enddo initializeInstances
end subroutine damage_anisoDuctile_init
!--------------------------------------------------------------------------------------------------
!> @brief sets the relevant state values for a given instance of this damage
!--------------------------------------------------------------------------------------------------
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subroutine damage_anisoDuctile_stateInit ( phase , instance )
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use material , only : &
damageState
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use math , only : &
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
tempState ( 2 : &
1 + damage_anisoDuctile_totalNslip ( instance ) ) = 1.0_pReal
tempState ( damage_anisoDuctile_totalNslip ( instance ) + 2 : &
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 , : ) ) )
damageState ( phase ) % state0 = damageState ( phase ) % state
damageState ( phase ) % partionedState0 = damageState ( phase ) % state
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end subroutine damage_anisoDuctile_stateInit
!--------------------------------------------------------------------------------------------------
!> @brief sets the relevant state values for a given instance of this damage
!--------------------------------------------------------------------------------------------------
subroutine damage_anisoDuctile_aTolState ( phase , instance )
use material , only : &
damageState
implicit none
integer ( pInt ) , intent ( in ) :: &
phase , &
instance ! number specifying the current instance of the damage
real ( pReal ) , dimension ( damageState ( phase ) % sizeState ) :: tempTol
tempTol = damage_anisoDuctile_aTol_damage ( instance )
damageState ( phase ) % aTolState = tempTol
end subroutine damage_anisoDuctile_aTolState
!--------------------------------------------------------------------------------------------------
!> @brief calculates derived quantities from state
!--------------------------------------------------------------------------------------------------
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subroutine damage_anisoDuctile_microstructure ( subdt , ipc , ip , el )
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use material , only : &
mappingConstitutive , &
phase_damageInstance , &
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plasticState , &
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damageState
use lattice , only : &
lattice_maxNslipFamily
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use lattice , only : &
lattice_DamageMobility
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implicit none
integer ( pInt ) , intent ( in ) :: &
ipc , & !< component-ID of integration point
ip , & !< integration point
el !< element
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real ( pReal ) , intent ( in ) :: &
subdt
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integer ( pInt ) :: &
phase , &
constituent , &
instance , &
index , f , i
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real ( pReal ) :: &
localDamage , &
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drivingForce
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phase = mappingConstitutive ( 2 , ipc , ip , el )
constituent = mappingConstitutive ( 1 , ipc , ip , el )
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
do f = 1_pInt , lattice_maxNslipFamily
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 )
damageState ( phase ) % state ( index + 1 , constituent ) = &
min ( damageState ( phase ) % state0 ( index + 1 , constituent ) , &
( sqrt ( drivingForce * drivingForce + 4.0_pReal ) - drivingForce ) / 2.0_pReal )
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 ) = &
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
enddo
enddo
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localDamage = minval ( damageState ( phase ) % state ( 2 : 1 + damage_anisoDuctile_totalNslip ( instance ) , constituent ) )
damageState ( phase ) % state ( 1 , constituent ) = &
localDamage + &
( damageState ( phase ) % subState0 ( 1 , constituent ) - localDamage ) * &
exp ( - subdt / lattice_DamageMobility ( phase ) )
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end subroutine damage_anisoDuctile_microstructure
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!--------------------------------------------------------------------------------------------------
!> @brief contains the constitutive equation for calculating the velocity gradient
!--------------------------------------------------------------------------------------------------
subroutine damage_anisoDuctile_LdAndItsTangent ( Ld , dLd_dTstar , Tstar_v , ipc , ip , el )
use numerics , only : &
residualStiffness
use lattice , only : &
lattice_maxNslipFamily , &
lattice_NslipSystem , &
lattice_sd , &
lattice_st , &
lattice_sn
use material , only : &
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
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!--------------------------------------------------------------------------------------------------
!> @brief returns damage
!--------------------------------------------------------------------------------------------------
function damage_anisoDuctile_getDamage ( ipc , ip , el )
use material , only : &
material_homog , &
mappingHomogenization , &
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mappingConstitutive , &
damageState , &
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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 )
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damage_anisoDuctile_getDamage = damageState ( mappingConstitutive ( 2 , ipc , ip , el ) ) % &
state0 ( 1 , mappingConstitutive ( 1 , ipc , ip , el ) )
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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 = &
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damageState ( mappingConstitutive ( 2 , ipc , ip , el ) ) % state ( 1 , mappingConstitutive ( 1 , ipc , ip , el ) )
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end function damage_anisoDuctile_getLocalDamage
!--------------------------------------------------------------------------------------------------
!> @brief returns slip system damage
!--------------------------------------------------------------------------------------------------
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function damage_anisoDuctile_getSlipDamage ( ipc , ip , el )
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use numerics , only : &
residualStiffness
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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 ) :: &
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damage_anisoDuctile_getSlipDamage ( damage_anisoDuctile_totalNslip ( &
phase_damageInstance ( mappingConstitutive ( 2 , ipc , ip , el ) ) ) )
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integer ( pInt ) :: &
phase , &
constituent , &
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instance
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phase = mappingConstitutive ( 2 , ipc , ip , el )
constituent = mappingConstitutive ( 1 , ipc , ip , el )
instance = phase_damageInstance ( phase )
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damage_anisoDuctile_getSlipDamage = &
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damageState ( phase ) % state0 ( 2 : 1 + damage_anisoDuctile_totalNslip ( instance ) , constituent ) + &
residualStiffness
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end function damage_anisoDuctile_getSlipDamage
!--------------------------------------------------------------------------------------------------
!> @brief return array of constitutive results
!--------------------------------------------------------------------------------------------------
function damage_anisoDuctile_postResults ( ipc , ip , el )
use material , only : &
mappingConstitutive , &
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phase_damageInstance
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implicit none
integer ( pInt ) , intent ( in ) :: &
ipc , & !< component-ID of integration point
ip , & !< integration point
el !< element
real ( pReal ) , dimension ( damage_anisoDuctile_sizePostResults ( phase_damageInstance ( mappingConstitutive ( 2 , ipc , ip , el ) ) ) ) :: &
damage_anisoDuctile_postResults
integer ( pInt ) :: &
instance , phase , constituent , o , c
phase = mappingConstitutive ( 2 , ipc , ip , el )
constituent = mappingConstitutive ( 1 , ipc , ip , el )
instance = phase_damageInstance ( phase )
c = 0_pInt
damage_anisoDuctile_postResults = 0.0_pReal
do o = 1_pInt , damage_anisoDuctile_Noutput ( instance )
select case ( damage_anisoDuctile_outputID ( o , instance ) )
case ( local_damage_ID )
damage_anisoDuctile_postResults ( c + 1_pInt ) = &
damage_anisoDuctile_getLocalDamage ( ipc , ip , el )
c = c + 1_pInt
end select
enddo
end function damage_anisoDuctile_postResults
end module damage_anisoDuctile