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!--------------------------------------------------------------------------------------------------
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine incorporating kinematics resulting from vacancy point defects
!> @details to be done
!--------------------------------------------------------------------------------------------------
module kinematics_vacancy_strain
use prec , only : &
pReal , &
pInt
implicit none
private
integer ( pInt ) , dimension ( : ) , allocatable , public , protected :: &
kinematics_vacancy_strain_sizePostResults , & !< cumulative size of post results
kinematics_vacancy_strain_offset , & !< which kinematics is my current damage mechanism?
kinematics_vacancy_strain_instance !< instance of damage kinematics mechanism
integer ( pInt ) , dimension ( : , : ) , allocatable , target , public :: &
kinematics_vacancy_strain_sizePostResult !< size of each post result output
character ( len = 64 ) , dimension ( : , : ) , allocatable , target , public :: &
kinematics_vacancy_strain_output !< name of each post result output
integer ( pInt ) , dimension ( : ) , allocatable , target , public :: &
kinematics_vacancy_strain_Noutput !< number of outputs per instance of this damage
real ( pReal ) , dimension ( : ) , allocatable , private :: &
kinematics_vacancy_strain_coeff
public :: &
kinematics_vacancy_strain_init , &
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kinematics_vacancy_strain_initialStrain , &
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kinematics_vacancy_strain_LiAndItsTangent , &
kinematics_vacancy_strain_ChemPotAndItsTangent
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine kinematics_vacancy_strain_init ( fileUnit )
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#if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800
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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_vacancy_strain_label , &
KINEMATICS_vacancy_strain_ID , &
material_Nphase , &
MATERIAL_partPhase
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
character ( len = 65536 ) :: &
tag = '' , &
line = ''
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write ( 6 , '(/,a)' ) ' <<<+- kinematics_' / / KINEMATICS_vacancy_strain_LABEL / / ' init -+>>>'
write ( 6 , '(a15,a)' ) ' Current time: ' , IO_timeStamp ( )
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#include "compilation_info.f90"
maxNinstance = int ( count ( phase_kinematics == KINEMATICS_vacancy_strain_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_vacancy_strain_offset ( material_Nphase ) , source = 0_pInt )
allocate ( kinematics_vacancy_strain_instance ( material_Nphase ) , source = 0_pInt )
do phase = 1 , material_Nphase
kinematics_vacancy_strain_instance ( phase ) = count ( phase_kinematics ( : , 1 : phase ) == kinematics_vacancy_strain_ID )
do kinematics = 1 , phase_Nkinematics ( phase )
if ( phase_kinematics ( kinematics , phase ) == kinematics_vacancy_strain_ID ) &
kinematics_vacancy_strain_offset ( phase ) = kinematics
enddo
enddo
allocate ( kinematics_vacancy_strain_sizePostResults ( maxNinstance ) , source = 0_pInt )
allocate ( kinematics_vacancy_strain_sizePostResult ( maxval ( phase_Noutput ) , maxNinstance ) , source = 0_pInt )
allocate ( kinematics_vacancy_strain_output ( maxval ( phase_Noutput ) , maxNinstance ) )
kinematics_vacancy_strain_output = ''
allocate ( kinematics_vacancy_strain_Noutput ( maxNinstance ) , source = 0_pInt )
allocate ( kinematics_vacancy_strain_coeff ( 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_vacancy_strain_ID ) ) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
instance = kinematics_vacancy_strain_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 ( 'vacancy_strain_coeff' )
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kinematics_vacancy_strain_coeff ( instance ) = IO_floatValue ( line , chunkPos , 2_pInt )
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end select
endif ; endif
enddo parsingFile
end subroutine kinematics_vacancy_strain_init
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!--------------------------------------------------------------------------------------------------
!> @brief report initial vacancy strain based on current vacancy conc deviation from equillibrium
!--------------------------------------------------------------------------------------------------
pure function kinematics_vacancy_strain_initialStrain ( ipc , ip , el )
use math , only : &
math_I3
use material , only : &
material_phase , &
material_homog , &
vacancyConc , &
vacancyfluxMapping
use lattice , only : &
lattice_equilibriumVacancyConcentration
implicit none
integer ( pInt ) , intent ( in ) :: &
ipc , & !< grain number
ip , & !< integration point number
el !< element number
real ( pReal ) , dimension ( 3 , 3 ) :: &
kinematics_vacancy_strain_initialStrain !< initial thermal strain (should be small strain, though)
integer ( pInt ) :: &
phase , &
homog , offset , instance
phase = material_phase ( ipc , ip , el )
instance = kinematics_vacancy_strain_instance ( phase )
homog = material_homog ( ip , el )
offset = vacancyfluxMapping ( homog ) % p ( ip , el )
kinematics_vacancy_strain_initialStrain = &
( vacancyConc ( homog ) % p ( offset ) - lattice_equilibriumVacancyConcentration ( phase ) ) * &
kinematics_vacancy_strain_coeff ( instance ) * math_I3
end function kinematics_vacancy_strain_initialStrain
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!--------------------------------------------------------------------------------------------------
!> @brief contains the constitutive equation for calculating the velocity gradient
!--------------------------------------------------------------------------------------------------
subroutine kinematics_vacancy_strain_LiAndItsTangent ( Li , dLi_dTstar3333 , ipc , ip , el )
use material , only : &
material_phase , &
material_homog , &
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vacancyConc , &
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vacancyConcRate , &
vacancyfluxMapping
use math , only : &
math_I3
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use lattice , only : &
lattice_equilibriumVacancyConcentration
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implicit none
integer ( pInt ) , intent ( in ) :: &
ipc , & !< grain number
ip , & !< integration point number
el !< element number
real ( pReal ) , intent ( out ) , dimension ( 3 , 3 ) :: &
Li !< thermal velocity gradient
real ( pReal ) , intent ( out ) , dimension ( 3 , 3 , 3 , 3 ) :: &
dLi_dTstar3333 !< derivative of Li with respect to Tstar (4th-order tensor)
integer ( pInt ) :: &
phase , &
instance , &
homog , offset
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real ( pReal ) :: &
Cv , CvEq , CvDot
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phase = material_phase ( ipc , ip , el )
instance = kinematics_vacancy_strain_instance ( phase )
homog = material_homog ( ip , el )
offset = vacancyfluxMapping ( homog ) % p ( ip , el )
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Cv = vacancyConc ( homog ) % p ( offset )
CvDot = vacancyConcRate ( homog ) % p ( offset )
CvEq = lattice_equilibriumvacancyConcentration ( phase )
Li = CvDot * math_I3 * &
kinematics_vacancy_strain_coeff ( instance ) / &
( 1.0_pReal + kinematics_vacancy_strain_coeff ( instance ) * ( Cv - CvEq ) )
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dLi_dTstar3333 = 0.0_pReal
end subroutine kinematics_vacancy_strain_LiAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief contains the kinematic contribution to vacancy chemical potential
!--------------------------------------------------------------------------------------------------
subroutine kinematics_vacancy_strain_ChemPotAndItsTangent ( ChemPot , dChemPot_dCv , Tstar_v , Fi0 , Fi , ipc , ip , el )
use material , only : &
material_phase
use math , only : &
math_inv33 , &
math_mul33x33 , &
math_Mandel6to33 , &
math_transpose33
implicit none
integer ( pInt ) , intent ( in ) :: &
ipc , & !< grain number
ip , & !< integration point number
el !< element number
real ( pReal ) , intent ( in ) , dimension ( 6 ) :: &
Tstar_v
real ( pReal ) , intent ( in ) , dimension ( 3 , 3 ) :: &
Fi0 , Fi
real ( pReal ) , intent ( out ) :: &
ChemPot , dChemPot_dCv
integer ( pInt ) :: &
phase , &
instance
phase = material_phase ( ipc , ip , el )
instance = kinematics_vacancy_strain_instance ( phase )
ChemPot = - kinematics_vacancy_strain_coeff ( instance ) * &
sum ( math_mul33x33 ( Fi , math_Mandel6to33 ( Tstar_v ) ) * &
math_mul33x33 ( math_mul33x33 ( Fi , math_inv33 ( Fi0 ) ) , Fi ) )
dChemPot_dCv = 0.0_pReal
end subroutine kinematics_vacancy_strain_ChemPotAndItsTangent
end module kinematics_vacancy_strain