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!--------------------------------------------------------------------------------------------------
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!> @author Luv Sharma, Max-Planck-Institut für Eisenforschung GmbH
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief material subroutine incorporating kinematics resulting from opening of cleavage planes
!> @details to be done
!--------------------------------------------------------------------------------------------------
module kinematics_cleavage_opening
use prec , only : &
pReal , &
pInt
implicit none
private
integer ( pInt ) , dimension ( : ) , allocatable , public , protected :: &
kinematics_cleavage_opening_sizePostResults , & !< cumulative size of post results
kinematics_cleavage_opening_offset , & !< which kinematics is my current damage mechanism?
kinematics_cleavage_opening_instance !< instance of damage kinematics mechanism
integer ( pInt ) , dimension ( : , : ) , allocatable , target , public :: &
kinematics_cleavage_opening_sizePostResult !< size of each post result output
character ( len = 64 ) , dimension ( : , : ) , allocatable , target , public :: &
kinematics_cleavage_opening_output !< name of each post result output
integer ( pInt ) , dimension ( : ) , allocatable , target , public :: &
kinematics_cleavage_opening_Noutput !< number of outputs per instance of this damage
integer ( pInt ) , dimension ( : ) , allocatable , private :: &
kinematics_cleavage_opening_totalNcleavage !< total number of cleavage systems
integer ( pInt ) , dimension ( : , : ) , allocatable , private :: &
kinematics_cleavage_opening_Ncleavage !< number of cleavage systems per family
real ( pReal ) , dimension ( : ) , allocatable , private :: &
kinematics_cleavage_opening_sdot_0 , &
kinematics_cleavage_opening_N
real ( pReal ) , dimension ( : , : ) , allocatable , private :: &
kinematics_cleavage_opening_critDisp , &
kinematics_cleavage_opening_critLoad
public :: &
kinematics_cleavage_opening_init , &
kinematics_cleavage_opening_LiAndItsTangent
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine kinematics_cleavage_opening_init ( fileUnit )
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#ifdef __GFORTRAN__
use , intrinsic :: iso_fortran_env , only : &
compiler_version , &
compiler_options
#endif
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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_kinematics , &
phase_Nkinematics , &
phase_Noutput , &
KINEMATICS_cleavage_opening_label , &
KINEMATICS_cleavage_opening_ID , &
material_Nphase , &
MATERIAL_partPhase
use lattice , only : &
lattice_maxNcleavageFamily , &
lattice_NcleavageSystem
implicit none
integer ( pInt ) , intent ( in ) :: fileUnit
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integer ( pInt ) , allocatable , dimension ( : ) :: chunkPos
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integer ( pInt ) :: maxNinstance , phase , instance , kinematics
integer ( pInt ) :: Nchunks_CleavageFamilies = 0_pInt , j
character ( len = 65536 ) :: &
tag = '' , &
line = ''
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write ( 6 , '(/,a)' ) ' <<<+- kinematics_' / / KINEMATICS_cleavage_opening_LABEL / / ' init -+>>>'
write ( 6 , '(a15,a)' ) ' Current time: ' , IO_timeStamp ( )
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#include "compilation_info.f90"
maxNinstance = int ( count ( phase_kinematics == KINEMATICS_cleavage_opening_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 ( kinematics_cleavage_opening_offset ( material_Nphase ) , source = 0_pInt )
allocate ( kinematics_cleavage_opening_instance ( material_Nphase ) , source = 0_pInt )
do phase = 1 , material_Nphase
kinematics_cleavage_opening_instance ( phase ) = count ( phase_kinematics ( : , 1 : phase ) == kinematics_cleavage_opening_ID )
do kinematics = 1 , phase_Nkinematics ( phase )
if ( phase_kinematics ( kinematics , phase ) == kinematics_cleavage_opening_ID ) &
kinematics_cleavage_opening_offset ( phase ) = kinematics
enddo
enddo
allocate ( kinematics_cleavage_opening_sizePostResults ( maxNinstance ) , source = 0_pInt )
allocate ( kinematics_cleavage_opening_sizePostResult ( maxval ( phase_Noutput ) , maxNinstance ) , source = 0_pInt )
allocate ( kinematics_cleavage_opening_output ( maxval ( phase_Noutput ) , maxNinstance ) )
kinematics_cleavage_opening_output = ''
allocate ( kinematics_cleavage_opening_Noutput ( maxNinstance ) , source = 0_pInt )
allocate ( kinematics_cleavage_opening_critDisp ( lattice_maxNcleavageFamily , maxNinstance ) , source = 0.0_pReal )
allocate ( kinematics_cleavage_opening_critLoad ( lattice_maxNcleavageFamily , maxNinstance ) , source = 0.0_pReal )
allocate ( kinematics_cleavage_opening_Ncleavage ( lattice_maxNcleavageFamily , maxNinstance ) , source = 0_pInt )
allocate ( kinematics_cleavage_opening_totalNcleavage ( maxNinstance ) , source = 0_pInt )
allocate ( kinematics_cleavage_opening_sdot_0 ( maxNinstance ) , source = 0.0_pReal )
allocate ( kinematics_cleavage_opening_N ( 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 ( any ( phase_kinematics ( : , phase ) == KINEMATICS_cleavage_opening_ID ) ) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
instance = kinematics_cleavage_opening_instance ( phase ) ! which instance of my damage is present phase
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chunkPos = IO_stringPos ( line )
tag = IO_lc ( IO_stringValue ( line , chunkPos , 1_pInt ) ) ! extract key
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select case ( tag )
case ( 'anisobrittle_sdot0' )
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kinematics_cleavage_opening_sdot_0 ( instance ) = IO_floatValue ( line , chunkPos , 2_pInt )
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case ( 'anisobrittle_ratesensitivity' )
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kinematics_cleavage_opening_N ( instance ) = IO_floatValue ( line , chunkPos , 2_pInt )
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case ( 'ncleavage' ) !
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Nchunks_CleavageFamilies = chunkPos ( 1 ) - 1_pInt
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do j = 1_pInt , Nchunks_CleavageFamilies
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kinematics_cleavage_opening_Ncleavage ( j , instance ) = IO_intValue ( line , chunkPos , 1_pInt + j )
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enddo
case ( 'anisobrittle_criticaldisplacement' )
do j = 1_pInt , Nchunks_CleavageFamilies
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kinematics_cleavage_opening_critDisp ( j , instance ) = IO_floatValue ( line , chunkPos , 1_pInt + j )
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enddo
case ( 'anisobrittle_criticalload' )
do j = 1_pInt , Nchunks_CleavageFamilies
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kinematics_cleavage_opening_critLoad ( j , instance ) = IO_floatValue ( line , chunkPos , 1_pInt + j )
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enddo
end select
endif ; endif
enddo parsingFile
!--------------------------------------------------------------------------------------------------
! sanity checks
sanityChecks : do phase = 1_pInt , material_Nphase
myPhase : if ( any ( phase_kinematics ( : , phase ) == KINEMATICS_cleavage_opening_ID ) ) then
instance = kinematics_cleavage_opening_instance ( phase )
kinematics_cleavage_opening_Ncleavage ( 1 : lattice_maxNcleavageFamily , instance ) = &
min ( lattice_NcleavageSystem ( 1 : lattice_maxNcleavageFamily , phase ) , & ! limit active cleavage systems per family to min of available and requested
kinematics_cleavage_opening_Ncleavage ( 1 : lattice_maxNcleavageFamily , instance ) )
kinematics_cleavage_opening_totalNcleavage ( instance ) = sum ( kinematics_cleavage_opening_Ncleavage ( : , instance ) ) ! how many cleavage systems altogether
if ( kinematics_cleavage_opening_sdot_0 ( instance ) < = 0.0_pReal ) &
call IO_error ( 211_pInt , el = instance , ext_msg = 'sdot_0 (' / / KINEMATICS_cleavage_opening_LABEL / / ')' )
if ( any ( kinematics_cleavage_opening_critDisp ( 1 : Nchunks_CleavageFamilies , instance ) < 0.0_pReal ) ) &
call IO_error ( 211_pInt , el = instance , ext_msg = 'critical_displacement (' / / KINEMATICS_cleavage_opening_LABEL / / ')' )
if ( any ( kinematics_cleavage_opening_critLoad ( 1 : Nchunks_CleavageFamilies , instance ) < 0.0_pReal ) ) &
call IO_error ( 211_pInt , el = instance , ext_msg = 'critical_load (' / / KINEMATICS_cleavage_opening_LABEL / / ')' )
if ( kinematics_cleavage_opening_N ( instance ) < = 0.0_pReal ) &
call IO_error ( 211_pInt , el = instance , ext_msg = 'rate_sensitivity (' / / KINEMATICS_cleavage_opening_LABEL / / ')' )
endif myPhase
enddo sanityChecks
end subroutine kinematics_cleavage_opening_init
!--------------------------------------------------------------------------------------------------
!> @brief contains the constitutive equation for calculating the velocity gradient
!--------------------------------------------------------------------------------------------------
subroutine kinematics_cleavage_opening_LiAndItsTangent ( Ld , dLd_dTstar3333 , Tstar_v , ipc , ip , el )
use prec , only : &
tol_math_check
use material , only : &
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phaseAt , phasememberAt , &
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material_homog , &
damage , &
damageMapping
use lattice , only : &
lattice_Scleavage , &
lattice_Scleavage_v , &
lattice_maxNcleavageFamily , &
lattice_NcleavageSystem
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 ( 3 , 3 , 3 , 3 ) :: &
dLd_dTstar3333 !< derivative of Ld with respect to Tstar (4th-order tensor)
integer ( pInt ) :: &
phase , &
constituent , &
instance , &
homog , damageOffset , &
f , i , 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
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phase = phaseAt ( ipc , ip , el )
constituent = phasememberAt ( ipc , ip , el )
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instance = kinematics_cleavage_opening_instance ( phase )
homog = material_homog ( ip , el )
damageOffset = damageMapping ( homog ) % p ( ip , el )
Ld = 0.0_pReal
dLd_dTstar3333 = 0.0_pReal
do f = 1_pInt , lattice_maxNcleavageFamily
index_myFamily = sum ( lattice_NcleavageSystem ( 1 : f - 1_pInt , phase ) ) ! at which index starts my family
do i = 1_pInt , kinematics_cleavage_opening_Ncleavage ( f , instance ) ! process each (active) cleavage system in family
traction_d = dot_product ( Tstar_v , lattice_Scleavage_v ( 1 : 6 , 1 , index_myFamily + i , phase ) )
traction_t = dot_product ( Tstar_v , lattice_Scleavage_v ( 1 : 6 , 2 , index_myFamily + i , phase ) )
traction_n = dot_product ( Tstar_v , lattice_Scleavage_v ( 1 : 6 , 3 , index_myFamily + i , phase ) )
traction_crit = kinematics_cleavage_opening_critLoad ( f , instance ) * &
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damage ( homog ) % p ( damageOffset ) * damage ( homog ) % p ( damageOffset )
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udotd = &
sign ( 1.0_pReal , traction_d ) * &
kinematics_cleavage_opening_sdot_0 ( instance ) * &
( max ( 0.0_pReal , abs ( traction_d ) - traction_crit ) / traction_crit ) ** kinematics_cleavage_opening_N ( instance )
if ( abs ( udotd ) > tol_math_check ) then
Ld = Ld + udotd * lattice_Scleavage ( 1 : 3 , 1 : 3 , 1 , index_myFamily + i , phase )
dudotd_dt = sign ( 1.0_pReal , traction_d ) * udotd * kinematics_cleavage_opening_N ( instance ) / &
max ( 0.0_pReal , abs ( traction_d ) - traction_crit )
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 * lattice_Scleavage ( k , l , 1 , index_myFamily + i , phase ) * &
lattice_Scleavage ( m , n , 1 , index_myFamily + i , phase )
endif
udott = &
sign ( 1.0_pReal , traction_t ) * &
kinematics_cleavage_opening_sdot_0 ( instance ) * &
( max ( 0.0_pReal , abs ( traction_t ) - traction_crit ) / traction_crit ) ** kinematics_cleavage_opening_N ( instance )
if ( abs ( udott ) > tol_math_check ) then
Ld = Ld + udott * lattice_Scleavage ( 1 : 3 , 1 : 3 , 2 , index_myFamily + i , phase )
dudott_dt = sign ( 1.0_pReal , traction_t ) * udott * kinematics_cleavage_opening_N ( instance ) / &
max ( 0.0_pReal , abs ( traction_t ) - traction_crit )
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 * lattice_Scleavage ( k , l , 2 , index_myFamily + i , phase ) * &
lattice_Scleavage ( m , n , 2 , index_myFamily + i , phase )
endif
udotn = &
sign ( 1.0_pReal , traction_n ) * &
kinematics_cleavage_opening_sdot_0 ( instance ) * &
( max ( 0.0_pReal , abs ( traction_n ) - traction_crit ) / traction_crit ) ** kinematics_cleavage_opening_N ( instance )
if ( abs ( udotn ) > tol_math_check ) then
Ld = Ld + udotn * lattice_Scleavage ( 1 : 3 , 1 : 3 , 3 , index_myFamily + i , phase )
dudotn_dt = sign ( 1.0_pReal , traction_n ) * udotn * kinematics_cleavage_opening_N ( instance ) / &
max ( 0.0_pReal , abs ( traction_n ) - traction_crit )
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 * lattice_Scleavage ( k , l , 3 , index_myFamily + i , phase ) * &
lattice_Scleavage ( m , n , 3 , index_myFamily + i , phase )
endif
enddo
enddo
end subroutine kinematics_cleavage_opening_LiAndItsTangent
end module kinematics_cleavage_opening