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!--------------------------------------------------------------------------------------------------
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! $Id$
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!--------------------------------------------------------------------------------------------------
!> @author Luv Sharma, Max-Planck-Institut f<> r Eisenforschung GmbH
!> @author Pratheek Shanthraj, Max-Planck-Institut f<> r Eisenforschung GmbH
!> @brief material subroutine incoprorating gurson damage
!> @details to be done
!--------------------------------------------------------------------------------------------------
module damage_gurson
use prec , only : &
pReal , &
pInt
implicit none
private
integer ( pInt ) , dimension ( : ) , allocatable , public , protected :: &
damage_gurson_sizePostResults !< cumulative size of post results
integer ( pInt ) , dimension ( : , : ) , allocatable , target , public :: &
damage_gurson_sizePostResult !< size of each post result output
character ( len = 64 ) , dimension ( : , : ) , allocatable , target , public :: &
damage_gurson_output !< name of each post result output
integer ( pInt ) , dimension ( : ) , allocatable , target , public :: &
damage_gurson_Noutput !< number of outputs per instance of this damage
real ( pReal ) , dimension ( : ) , allocatable , private :: &
damage_gurson_aTol , &
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damage_gurson_coeff_torsion , &
damage_gurson_coeff_ten_comp , &
damage_gurson_coeff_triaxiality , &
damage_gurson_fracture_tough , &
damage_gurson_lengthscale , &
damage_gurson_crit_void_fraction
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enum , bind ( c )
enumerator :: undefined_ID , &
local_damage_ID
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end enum !!!!! ToDo
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integer ( kind ( undefined_ID ) ) , dimension ( : , : ) , allocatable , private :: &
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damage_gurson_outputID !< ID of each post result output
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public :: &
damage_gurson_init , &
damage_gurson_stateInit , &
damage_gurson_aTolState , &
damage_gurson_dotState , &
damage_gurson_microstructure , &
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damage_gurson_getDamage , &
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damage_gurson_getSlipDamage , &
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damage_gurson_putLocalDamage , &
damage_gurson_getLocalDamage , &
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damage_gurson_postResults
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine damage_gurson_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 mesh , only : &
mesh_maxNips , &
mesh_NcpElems
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_damage , &
phase_damageInstance , &
phase_Noutput , &
LOCAL_DAMAGE_gurson_label , &
LOCAL_DAMAGE_gurson_ID , &
material_phase , &
damageState , &
MATERIAL_partPhase
use numerics , only : &
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worldrank , &
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numerics_integrator
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
character ( len = 65536 ) :: &
tag = '' , &
line = ''
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mainProcess : if ( worldrank == 0 ) then
write ( 6 , '(/,a)' ) ' <<<+- damage_' / / LOCAL_DAMAGE_gurson_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_gurson_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_gurson_sizePostResults ( maxNinstance ) , source = 0_pInt )
allocate ( damage_gurson_sizePostResult ( maxval ( phase_Noutput ) , maxNinstance ) , source = 0_pInt )
allocate ( damage_gurson_output ( maxval ( phase_Noutput ) , maxNinstance ) )
damage_gurson_output = ''
allocate ( damage_gurson_outputID ( maxval ( phase_Noutput ) , maxNinstance ) , source = undefined_ID )
allocate ( damage_gurson_Noutput ( maxNinstance ) , source = 0_pInt )
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allocate ( damage_gurson_coeff_torsion ( maxNinstance ) , source = 0.0_pReal )
allocate ( damage_gurson_coeff_ten_comp ( maxNinstance ) , source = 0.0_pReal )
allocate ( damage_gurson_coeff_triaxiality ( maxNinstance ) , source = 0.0_pReal )
allocate ( damage_gurson_fracture_tough ( maxNinstance ) , source = 0.0_pReal )
allocate ( damage_gurson_lengthscale ( maxNinstance ) , source = 0.0_pReal )
allocate ( damage_gurson_crit_void_fraction ( maxNinstance ) , source = 0.0_pReal )
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allocate ( damage_gurson_aTol ( 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_gurson_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_gurson_Noutput ( instance ) = damage_gurson_Noutput ( instance ) + 1_pInt
damage_gurson_outputID ( damage_gurson_Noutput ( instance ) , instance ) = local_damage_ID
damage_gurson_output ( damage_gurson_Noutput ( instance ) , instance ) = &
IO_lc ( IO_stringValue ( line , positions , 2_pInt ) )
end select
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! input parameters
case ( 'coeff_torsion' )
damage_gurson_coeff_torsion ( instance ) = IO_floatValue ( line , positions , 2_pInt ) !> coefficent of torsional stress component
case ( 'coeff_tension_comp' )
damage_gurson_coeff_ten_comp ( instance ) = IO_floatValue ( line , positions , 2_pInt ) !> coefficent of tensile or compressive stress component
case ( 'coeff_triaxiality' )
damage_gurson_coeff_triaxiality ( instance ) = IO_floatValue ( line , positions , 2_pInt )
case ( 'fracture_toughness' )
damage_gurson_fracture_tough ( instance ) = IO_floatValue ( line , positions , 2_pInt )
case ( 'lengthscale' )
damage_gurson_lengthscale ( instance ) = IO_floatValue ( line , positions , 2_pInt )
case ( 'critical_voidFraction' )
damage_gurson_crit_void_fraction ( instance ) = IO_floatValue ( line , positions , 2_pInt )
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case ( 'atol_damage' )
damage_gurson_aTol ( instance ) = IO_floatValue ( line , positions , 2_pInt )
end select
endif ; endif
enddo parsingFile
initializeInstances : do phase = 1_pInt , size ( phase_damage )
if ( phase_damage ( phase ) == LOCAL_DAMAGE_gurson_ID ) then
NofMyPhase = count ( material_phase == phase )
instance = phase_damageInstance ( phase )
!--------------------------------------------------------------------------------------------------
! Determine size of postResults array
outputsLoop : do o = 1_pInt , damage_gurson_Noutput ( instance )
select case ( damage_gurson_outputID ( o , instance ) )
case ( local_damage_ID )
mySize = 1_pInt
end select
if ( mySize > 0_pInt ) then ! any meaningful output found
damage_gurson_sizePostResult ( o , instance ) = mySize
damage_gurson_sizePostResults ( instance ) = damage_gurson_sizePostResults ( instance ) + mySize
endif
enddo outputsLoop
! Determine size of state array
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sizeDotState = 3_pInt
sizeState = 4_pInt
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damageState ( phase ) % sizeState = sizeState
damageState ( phase ) % sizeDotState = sizeDotState
damageState ( phase ) % sizePostResults = damage_gurson_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_gurson_stateInit ( phase )
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call damage_gurson_aTolState ( phase , instance )
endif
enddo initializeInstances
end subroutine damage_gurson_init
!--------------------------------------------------------------------------------------------------
!> @brief sets the relevant NEW state values for a given instance of this damage
!--------------------------------------------------------------------------------------------------
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subroutine damage_gurson_stateInit ( phase )
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use material , only : &
damageState
implicit none
integer ( pInt ) , intent ( in ) :: phase !< number specifying the phase of the damage
real ( pReal ) , dimension ( damageState ( phase ) % sizeState ) :: tempState
tempState ( 1 ) = 1.0_pReal
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tempState ( 2 ) = 1.0_pReal
tempState ( 3 ) = 1.0_pReal
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tempState ( 4 ) = 1.0_pReal
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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
end subroutine damage_gurson_stateInit
!--------------------------------------------------------------------------------------------------
!> @brief sets the relevant state values for a given instance of this damage
!--------------------------------------------------------------------------------------------------
subroutine damage_gurson_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_gurson_aTol ( instance )
damageState ( phase ) % aTolState = tempTol
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end subroutine damage_gurson_aTolState
!--------------------------------------------------------------------------------------------------
!> @brief calculates derived quantities from state
!--------------------------------------------------------------------------------------------------
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subroutine damage_gurson_dotState ( Tstar_v , Lp , ipc , ip , el )
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use material , only : &
mappingConstitutive , &
damageState
use math , only : &
math_equivStrain33 , &
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math_norm33 , &
math_j3_33 , &
math_trace33 , &
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math_I3 , &
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math_Mandel6to33
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use lattice , only : &
lattice_DamageMobility
implicit none
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real ( pReal ) , intent ( in ) , dimension ( 6 ) :: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor (Mandel)
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real ( pReal ) , intent ( in ) , dimension ( 3 , 3 ) :: &
Lp
integer ( pInt ) , intent ( in ) :: &
ipc , & !< component-ID of integration point
ip , & !< integration point
el !< element
integer ( pInt ) :: &
phase , constituent
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real ( pReal ) :: &
i1 , j2 , j3
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real ( pReal ) , dimension ( 3 , 3 ) :: &
Tstar_dev
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phase = mappingConstitutive ( 2 , ipc , ip , el )
constituent = mappingConstitutive ( 1 , ipc , ip , el )
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Tstar_dev = math_Mandel6to33 ( Tstar_v ) - math_trace33 ( math_Mandel6to33 ( Tstar_v ) ) / 3 * math_I3
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i1 = sum ( Tstar_v ( 1 : 3 ) )
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j2 = 0.5_pReal * ( math_norm33 ( Tstar_dev ) ) ** 2
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j3 = math_j3_33 ( math_Mandel6to33 ( Tstar_v ) )
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damageState ( phase ) % dotState ( 1 , constituent ) = &
( 1.0_pReal / lattice_DamageMobility ( phase ) ) * &
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( damageState ( phase ) % state ( 4 , constituent ) - &
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damageState ( phase ) % state ( 1 , constituent ) )
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damageState ( phase ) % dotState ( 2 , constituent ) = & !> void nucleation rate
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math_norm33 ( Lp ) * sqrt ( damage_gurson_lengthscale ( phase ) ) / damage_gurson_fracture_tough ( phase ) * &
damageState ( phase ) % state ( 2 , constituent ) * ( &
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damage_gurson_coeff_torsion ( phase ) * ( ( 4_pReal / 27_pReal ) - ( j3 ** ( 2 ) / j2 ** ( 3 ) ) ) + &
damage_gurson_coeff_ten_comp ( phase ) * ( j3 / j2 ** ( 1.5_pReal ) ) + &
damage_gurson_coeff_triaxiality ( phase ) * abs ( i1 / sqrt ( j2 ) ) ) !> to be coupled with vacancy generation
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damageState ( phase ) % dotState ( 3 , constituent ) = &
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( damageState ( phase ) % state ( 4 , constituent ) ) * math_trace33 ( Lp ) !> void growth rate
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end subroutine damage_gurson_dotState
!--------------------------------------------------------------------------------------------------
!> @brief calculates derived quantities from state
!--------------------------------------------------------------------------------------------------
subroutine damage_gurson_microstructure ( ipc , ip , el )
use material , only : &
mappingConstitutive , &
phase_damageInstance , &
damageState
use math , only : &
math_Mandel6to33 , &
math_mul33x33 , &
math_I3 , &
math_norm33
implicit none
integer ( pInt ) , intent ( in ) :: &
ipc , & !< component-ID of integration point
ip , & !< integration point
el !< element
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integer ( pReal ) :: &
voidFraction
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integer ( pInt ) :: &
phase , constituent
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phase = mappingConstitutive ( 2 , ipc , ip , el )
constituent = mappingConstitutive ( 1 , ipc , ip , el )
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voidFraction = damageState ( phase ) % state ( 2 , constituent ) + damageState ( phase ) % state ( 3 , constituent )
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if ( voidFraction < damage_gurson_crit_void_fraction ( phase ) ) then
damageState ( phase ) % state ( 4 , constituent ) = 1_pReal - voidFraction ! damage parameter is 1 when no void present
else
damageState ( phase ) % state ( 4 , constituent ) = 1_pReal - damage_gurson_crit_void_fraction ( phase ) + &
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5_pReal * ( voidFraction - damage_gurson_crit_void_fraction ( phase ) ) ! this accelerated void increase models the effect of void coalescence
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endif
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end subroutine damage_gurson_microstructure
!--------------------------------------------------------------------------------------------------
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!> @brief returns damage
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!--------------------------------------------------------------------------------------------------
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function damage_gurson_getDamage ( ipc , ip , el )
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use material , only : &
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material_homog , &
mappingHomogenization , &
fieldDamage , &
field_damage_type , &
FIELD_DAMAGE_LOCAL_ID , &
FIELD_DAMAGE_NONLOCAL_ID
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implicit none
integer ( pInt ) , intent ( in ) :: &
ipc , & !< grain number
ip , & !< integration point number
el !< element number
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real ( pReal ) :: damage_gurson_getDamage
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select case ( field_damage_type ( material_homog ( ip , el ) ) )
case ( FIELD_DAMAGE_LOCAL_ID )
damage_gurson_getDamage = damage_gurson_getLocalDamage ( ipc , ip , el )
case ( FIELD_DAMAGE_NONLOCAL_ID )
damage_gurson_getDamage = fieldDamage ( material_homog ( ip , el ) ) % &
field ( 1 , mappingHomogenization ( 1 , ip , el ) ) ! Taylor type
end select
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end function damage_gurson_getDamage
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!--------------------------------------------------------------------------------------------------
!> @brief returns slip damage
!--------------------------------------------------------------------------------------------------
function damage_gurson_getSlipDamage ( Tstar_v , ipc , ip , el )
implicit none
integer ( pInt ) , intent ( in ) :: &
ipc , & !< grain number
ip , & !< integration point number
el !< element number
real ( pReal ) , dimension ( 6 ) , intent ( in ) :: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
real ( pReal ) :: damage_gurson_getSlipDamage , porosity
porosity = damage_gurson_getDamage ( ipc , ip , el )
damage_gurson_getSlipDamage = porosity * porosity ! Gurson yield function should go here
end function damage_gurson_getSlipDamage
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!--------------------------------------------------------------------------------------------------
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!> @brief puts local damage
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!--------------------------------------------------------------------------------------------------
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subroutine damage_gurson_putLocalDamage ( ipc , ip , el , localDamage )
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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
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end subroutine damage_gurson_putLocalDamage
!--------------------------------------------------------------------------------------------------
!> @brief returns local damage
!--------------------------------------------------------------------------------------------------
function damage_gurson_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_gurson_getLocalDamage
damage_gurson_getLocalDamage = &
damageState ( mappingConstitutive ( 2 , ipc , ip , el ) ) % state ( 1 , mappingConstitutive ( 1 , ipc , ip , el ) )
end function damage_gurson_getLocalDamage
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!--------------------------------------------------------------------------------------------------
!> @brief return array of constitutive results
!--------------------------------------------------------------------------------------------------
function damage_gurson_postResults ( ipc , ip , el )
use material , only : &
mappingConstitutive , &
phase_damageInstance , &
damageState
implicit none
integer ( pInt ) , intent ( in ) :: &
ipc , & !< component-ID of integration point
ip , & !< integration point
el !< element
real ( pReal ) , dimension ( damage_gurson_sizePostResults ( phase_damageInstance ( mappingConstitutive ( 2 , ipc , ip , el ) ) ) ) :: &
damage_gurson_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_gurson_postResults = 0.0_pReal
do o = 1_pInt , damage_gurson_Noutput ( instance )
select case ( damage_gurson_outputID ( o , instance ) )
case ( local_damage_ID )
damage_gurson_postResults ( c + 1_pInt ) = damageState ( phase ) % state ( 1 , constituent )
c = c + 1
end select
enddo
end function damage_gurson_postResults
end module damage_gurson
