2015-05-28 22:32:23 +05:30
!--------------------------------------------------------------------------------------------------
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine for conservative transport of vacancy concentration field
!> @details to be done
!--------------------------------------------------------------------------------------------------
module vacancyflux_cahnhilliard
use prec , only : &
pReal , &
pInt , &
2018-08-20 19:39:40 +05:30
group_float
2015-05-28 22:32:23 +05:30
implicit none
private
integer ( pInt ) , dimension ( : ) , allocatable , public , protected :: &
vacancyflux_cahnhilliard_sizePostResults !< cumulative size of post results
integer ( pInt ) , dimension ( : , : ) , allocatable , target , public :: &
vacancyflux_cahnhilliard_sizePostResult !< size of each post result output
character ( len = 64 ) , dimension ( : , : ) , allocatable , target , public :: &
vacancyflux_cahnhilliard_output !< name of each post result output
integer ( pInt ) , dimension ( : ) , allocatable , target , public :: &
vacancyflux_cahnhilliard_Noutput !< number of outputs per instance of this damage
real ( pReal ) , dimension ( : ) , allocatable , private :: &
2015-06-11 14:31:37 +05:30
vacancyflux_cahnhilliard_flucAmplitude
2015-05-28 22:32:23 +05:30
2018-08-20 19:39:40 +05:30
type ( group_float ) , dimension ( : ) , allocatable , private :: &
2015-05-28 22:32:23 +05:30
vacancyflux_cahnhilliard_thermalFluc
real ( pReal ) , parameter , private :: &
kB = 1.3806488e-23_pReal !< Boltzmann constant in J/Kelvin
enum , bind ( c )
enumerator :: undefined_ID , &
vacancyConc_ID
end enum
integer ( kind ( undefined_ID ) ) , dimension ( : , : ) , allocatable , private :: &
vacancyflux_cahnhilliard_outputID !< ID of each post result output
public :: &
vacancyflux_cahnhilliard_init , &
vacancyflux_cahnhilliard_getSourceAndItsTangent , &
vacancyflux_cahnhilliard_getMobility33 , &
vacancyflux_cahnhilliard_getDiffusion33 , &
vacancyflux_cahnhilliard_getChemPotAndItsTangent , &
vacancyflux_cahnhilliard_putVacancyConcAndItsRate , &
vacancyflux_cahnhilliard_postResults
private :: &
vacancyflux_cahnhilliard_getFormationEnergy , &
vacancyflux_cahnhilliard_getEntropicCoeff , &
vacancyflux_cahnhilliard_KinematicChemPotAndItsTangent
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine vacancyflux_cahnhilliard_init ( fileUnit )
2018-02-02 17:06:09 +05:30
#if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800
2017-10-05 20:05:34 +05:30
use , intrinsic :: iso_fortran_env , only : &
compiler_version , &
compiler_options
#endif
2015-05-28 22:32:23 +05:30
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 : &
vacancyflux_type , &
vacancyflux_typeInstance , &
homogenization_Noutput , &
VACANCYFLUX_cahnhilliard_label , &
VACANCYFLUX_cahnhilliard_ID , &
material_homog , &
mappingHomogenization , &
vacancyfluxState , &
vacancyfluxMapping , &
vacancyConc , &
vacancyConcRate , &
2018-06-10 21:31:52 +05:30
vacancyflux_initialCv
2018-06-14 10:09:49 +05:30
use config , only : &
2018-06-10 21:31:52 +05:30
material_partPhase , &
material_partHomogenization
2015-05-28 22:32:23 +05:30
implicit none
integer ( pInt ) , intent ( in ) :: fileUnit
2015-08-28 13:08:48 +05:30
integer ( pInt ) , allocatable , dimension ( : ) :: chunkPos
2015-05-28 22:32:23 +05:30
integer ( pInt ) :: maxNinstance , mySize = 0_pInt , section , instance , o , offset
integer ( pInt ) :: sizeState
integer ( pInt ) :: NofMyHomog
character ( len = 65536 ) :: &
tag = '' , &
line = ''
2016-10-26 02:24:32 +05:30
write ( 6 , '(/,a)' ) ' <<<+- vacancyflux_' / / VACANCYFLUX_cahnhilliard_label / / ' init -+>>>'
write ( 6 , '(a15,a)' ) ' Current time: ' , IO_timeStamp ( )
2015-05-28 22:32:23 +05:30
#include "compilation_info.f90"
maxNinstance = int ( count ( vacancyflux_type == VACANCYFLUX_cahnhilliard_ID ) , pInt )
if ( maxNinstance == 0_pInt ) return
allocate ( vacancyflux_cahnhilliard_sizePostResults ( maxNinstance ) , source = 0_pInt )
allocate ( vacancyflux_cahnhilliard_sizePostResult ( maxval ( homogenization_Noutput ) , maxNinstance ) , source = 0_pInt )
allocate ( vacancyflux_cahnhilliard_output ( maxval ( homogenization_Noutput ) , maxNinstance ) )
vacancyflux_cahnhilliard_output = ''
allocate ( vacancyflux_cahnhilliard_outputID ( maxval ( homogenization_Noutput ) , maxNinstance ) , source = undefined_ID )
allocate ( vacancyflux_cahnhilliard_Noutput ( maxNinstance ) , source = 0_pInt )
2015-06-11 14:31:37 +05:30
allocate ( vacancyflux_cahnhilliard_flucAmplitude ( maxNinstance ) )
allocate ( vacancyflux_cahnhilliard_thermalFluc ( maxNinstance ) )
2015-05-28 22:32:23 +05:30
rewind ( fileUnit )
section = 0_pInt
do while ( trim ( line ) / = IO_EOF . and . IO_lc ( IO_getTag ( line , '<' , '>' ) ) / = material_partHomogenization ) ! wind forward to <homogenization>
line = IO_read ( fileUnit )
enddo
parsingHomog : do while ( trim ( line ) / = IO_EOF ) ! read through sections of homog 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 homog section
section = section + 1_pInt ! advance homog section counter
cycle ! skip to next line
endif
if ( section > 0_pInt ) then ; if ( vacancyflux_type ( section ) == VACANCYFLUX_cahnhilliard_ID ) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
instance = vacancyflux_typeInstance ( section ) ! which instance of my vacancyflux is present homog
2015-08-28 13:08:48 +05:30
chunkPos = IO_stringPos ( line )
tag = IO_lc ( IO_stringValue ( line , chunkPos , 1_pInt ) ) ! extract key
2015-05-28 22:32:23 +05:30
select case ( tag )
case ( '(output)' )
2015-08-28 13:08:48 +05:30
select case ( IO_lc ( IO_stringValue ( line , chunkPos , 2_pInt ) ) )
2015-05-28 22:32:23 +05:30
case ( 'vacancyconc' )
vacancyflux_cahnhilliard_Noutput ( instance ) = vacancyflux_cahnhilliard_Noutput ( instance ) + 1_pInt
vacancyflux_cahnhilliard_outputID ( vacancyflux_cahnhilliard_Noutput ( instance ) , instance ) = vacancyConc_ID
vacancyflux_cahnhilliard_output ( vacancyflux_cahnhilliard_Noutput ( instance ) , instance ) = &
2015-08-28 13:08:48 +05:30
IO_lc ( IO_stringValue ( line , chunkPos , 2_pInt ) )
2015-05-28 22:32:23 +05:30
end select
2015-06-11 14:31:37 +05:30
case ( 'vacancyflux_flucamplitude' )
2015-08-28 13:08:48 +05:30
vacancyflux_cahnhilliard_flucAmplitude ( instance ) = IO_floatValue ( line , chunkPos , 2_pInt )
2015-06-11 14:31:37 +05:30
2015-05-28 22:32:23 +05:30
end select
endif ; endif
enddo parsingHomog
initializeInstances : do section = 1_pInt , size ( vacancyflux_type )
if ( vacancyflux_type ( section ) == VACANCYFLUX_cahnhilliard_ID ) then
NofMyHomog = count ( material_homog == section )
instance = vacancyflux_typeInstance ( section )
!--------------------------------------------------------------------------------------------------
! Determine size of postResults array
outputsLoop : do o = 1_pInt , vacancyflux_cahnhilliard_Noutput ( instance )
select case ( vacancyflux_cahnhilliard_outputID ( o , instance ) )
case ( vacancyConc_ID )
mySize = 1_pInt
end select
if ( mySize > 0_pInt ) then ! any meaningful output found
vacancyflux_cahnhilliard_sizePostResult ( o , instance ) = mySize
vacancyflux_cahnhilliard_sizePostResults ( instance ) = vacancyflux_cahnhilliard_sizePostResults ( instance ) + mySize
endif
enddo outputsLoop
! allocate state arrays
sizeState = 0_pInt
vacancyfluxState ( section ) % sizeState = sizeState
vacancyfluxState ( section ) % sizePostResults = vacancyflux_cahnhilliard_sizePostResults ( instance )
allocate ( vacancyfluxState ( section ) % state0 ( sizeState , NofMyHomog ) )
allocate ( vacancyfluxState ( section ) % subState0 ( sizeState , NofMyHomog ) )
allocate ( vacancyfluxState ( section ) % state ( sizeState , NofMyHomog ) )
allocate ( vacancyflux_cahnhilliard_thermalFluc ( instance ) % p ( NofMyHomog ) )
do offset = 1_pInt , NofMyHomog
call random_number ( vacancyflux_cahnhilliard_thermalFluc ( instance ) % p ( offset ) )
2015-06-11 14:31:37 +05:30
vacancyflux_cahnhilliard_thermalFluc ( instance ) % p ( offset ) = &
1.0_pReal - &
vacancyflux_cahnhilliard_flucAmplitude ( instance ) * &
( vacancyflux_cahnhilliard_thermalFluc ( instance ) % p ( offset ) - 0.5_pReal )
2015-05-28 22:32:23 +05:30
enddo
nullify ( vacancyfluxMapping ( section ) % p )
vacancyfluxMapping ( section ) % p = > mappingHomogenization ( 1 , : , : )
deallocate ( vacancyConc ( section ) % p )
2015-07-24 20:23:50 +05:30
allocate ( vacancyConc ( section ) % p ( NofMyHomog ) , source = vacancyflux_initialCv ( section ) )
2015-05-28 22:32:23 +05:30
deallocate ( vacancyConcRate ( section ) % p )
allocate ( vacancyConcRate ( section ) % p ( NofMyHomog ) , source = 0.0_pReal )
endif
enddo initializeInstances
end subroutine vacancyflux_cahnhilliard_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates homogenized vacancy driving forces
!--------------------------------------------------------------------------------------------------
subroutine vacancyflux_cahnhilliard_getSourceAndItsTangent ( CvDot , dCvDot_dCv , Cv , ip , el )
use material , only : &
homogenization_Ngrains , &
mappingHomogenization , &
2016-05-27 15:16:34 +05:30
phaseAt , &
2015-05-28 22:32:23 +05:30
phase_source , &
phase_Nsources , &
SOURCE_vacancy_phenoplasticity_ID , &
SOURCE_vacancy_irradiation_ID , &
SOURCE_vacancy_thermalfluc_ID
use source_vacancy_phenoplasticity , only : &
source_vacancy_phenoplasticity_getRateAndItsTangent
use source_vacancy_irradiation , only : &
source_vacancy_irradiation_getRateAndItsTangent
use source_vacancy_thermalfluc , only : &
source_vacancy_thermalfluc_getRateAndItsTangent
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point number
el !< element number
real ( pReal ) , intent ( in ) :: &
Cv
integer ( pInt ) :: &
phase , &
grain , &
source
real ( pReal ) :: &
CvDot , dCvDot_dCv , localCvDot , dLocalCvDot_dCv
CvDot = 0.0_pReal
dCvDot_dCv = 0.0_pReal
do grain = 1 , homogenization_Ngrains ( mappingHomogenization ( 2 , ip , el ) )
2016-01-15 05:49:44 +05:30
phase = phaseAt ( grain , ip , el )
2015-05-28 22:32:23 +05:30
do source = 1_pInt , phase_Nsources ( phase )
select case ( phase_source ( source , phase ) )
case ( SOURCE_vacancy_phenoplasticity_ID )
call source_vacancy_phenoplasticity_getRateAndItsTangent ( localCvDot , dLocalCvDot_dCv , grain , ip , el )
case ( SOURCE_vacancy_irradiation_ID )
call source_vacancy_irradiation_getRateAndItsTangent ( localCvDot , dLocalCvDot_dCv , grain , ip , el )
case ( SOURCE_vacancy_thermalfluc_ID )
call source_vacancy_thermalfluc_getRateAndItsTangent ( localCvDot , dLocalCvDot_dCv , grain , ip , el )
end select
CvDot = CvDot + localCvDot
dCvDot_dCv = dCvDot_dCv + dLocalCvDot_dCv
enddo
enddo
2016-05-27 15:16:34 +05:30
CvDot = CvDot / real ( homogenization_Ngrains ( mappingHomogenization ( 2 , ip , el ) ) , pReal )
dCvDot_dCv = dCvDot_dCv / real ( homogenization_Ngrains ( mappingHomogenization ( 2 , ip , el ) ) , pReal )
2015-05-28 22:32:23 +05:30
end subroutine vacancyflux_cahnhilliard_getSourceAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized vacancy mobility tensor in reference configuration
!--------------------------------------------------------------------------------------------------
function vacancyflux_cahnhilliard_getMobility33 ( ip , el )
use lattice , only : &
lattice_vacancyfluxMobility33
use material , only : &
homogenization_Ngrains , &
material_phase
use mesh , only : &
mesh_element
use crystallite , only : &
crystallite_push33ToRef
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point number
el !< element number
real ( pReal ) , dimension ( 3 , 3 ) :: &
vacancyflux_cahnhilliard_getMobility33
integer ( pInt ) :: &
grain
vacancyflux_cahnhilliard_getMobility33 = 0.0_pReal
do grain = 1 , homogenization_Ngrains ( mesh_element ( 3 , el ) )
vacancyflux_cahnhilliard_getMobility33 = vacancyflux_cahnhilliard_getMobility33 + &
crystallite_push33ToRef ( grain , ip , el , lattice_vacancyfluxMobility33 ( : , : , material_phase ( grain , ip , el ) ) )
enddo
vacancyflux_cahnhilliard_getMobility33 = &
2016-05-27 15:16:34 +05:30
vacancyflux_cahnhilliard_getMobility33 / real ( homogenization_Ngrains ( mesh_element ( 3 , el ) ) , pReal )
2015-05-28 22:32:23 +05:30
end function vacancyflux_cahnhilliard_getMobility33
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized vacancy diffusion tensor in reference configuration
!--------------------------------------------------------------------------------------------------
function vacancyflux_cahnhilliard_getDiffusion33 ( ip , el )
use lattice , only : &
lattice_vacancyfluxDiffusion33
use material , only : &
homogenization_Ngrains , &
material_phase
use mesh , only : &
mesh_element
use crystallite , only : &
crystallite_push33ToRef
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point number
el !< element number
real ( pReal ) , dimension ( 3 , 3 ) :: &
vacancyflux_cahnhilliard_getDiffusion33
integer ( pInt ) :: &
grain
vacancyflux_cahnhilliard_getDiffusion33 = 0.0_pReal
do grain = 1 , homogenization_Ngrains ( mesh_element ( 3 , el ) )
vacancyflux_cahnhilliard_getDiffusion33 = vacancyflux_cahnhilliard_getDiffusion33 + &
crystallite_push33ToRef ( grain , ip , el , lattice_vacancyfluxDiffusion33 ( : , : , material_phase ( grain , ip , el ) ) )
enddo
vacancyflux_cahnhilliard_getDiffusion33 = &
2016-05-27 15:16:34 +05:30
vacancyflux_cahnhilliard_getDiffusion33 / real ( homogenization_Ngrains ( mesh_element ( 3 , el ) ) , pReal )
2015-05-28 22:32:23 +05:30
end function vacancyflux_cahnhilliard_getDiffusion33
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized vacancy formation energy
!--------------------------------------------------------------------------------------------------
2015-12-15 20:00:17 +05:30
real ( pReal ) function vacancyflux_cahnhilliard_getFormationEnergy ( ip , el )
2015-06-11 14:31:37 +05:30
use lattice , only : &
lattice_vacancyFormationEnergy , &
lattice_vacancyVol , &
lattice_vacancySurfaceEnergy
2015-05-28 22:32:23 +05:30
use material , only : &
homogenization_Ngrains , &
material_phase
use mesh , only : &
mesh_element
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point number
el !< element number
integer ( pInt ) :: &
grain
vacancyflux_cahnhilliard_getFormationEnergy = 0.0_pReal
do grain = 1 , homogenization_Ngrains ( mesh_element ( 3 , el ) )
vacancyflux_cahnhilliard_getFormationEnergy = vacancyflux_cahnhilliard_getFormationEnergy + &
2015-06-11 14:31:37 +05:30
lattice_vacancyFormationEnergy ( material_phase ( grain , ip , el ) ) / &
lattice_vacancyVol ( material_phase ( grain , ip , el ) ) / &
lattice_vacancySurfaceEnergy ( material_phase ( grain , ip , el ) )
2015-05-28 22:32:23 +05:30
enddo
vacancyflux_cahnhilliard_getFormationEnergy = &
2016-05-27 15:16:34 +05:30
vacancyflux_cahnhilliard_getFormationEnergy / real ( homogenization_Ngrains ( mesh_element ( 3 , el ) ) , pReal )
2015-05-28 22:32:23 +05:30
end function vacancyflux_cahnhilliard_getFormationEnergy
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized vacancy entropy coefficient
!--------------------------------------------------------------------------------------------------
2015-12-15 20:00:17 +05:30
real ( pReal ) function vacancyflux_cahnhilliard_getEntropicCoeff ( ip , el )
2015-06-11 14:31:37 +05:30
use lattice , only : &
lattice_vacancyVol , &
lattice_vacancySurfaceEnergy
2015-05-28 22:32:23 +05:30
use material , only : &
homogenization_Ngrains , &
material_homog , &
material_phase , &
temperature , &
thermalMapping
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point number
el !< element number
integer ( pInt ) :: &
grain
vacancyflux_cahnhilliard_getEntropicCoeff = 0.0_pReal
do grain = 1 , homogenization_Ngrains ( material_homog ( ip , el ) )
vacancyflux_cahnhilliard_getEntropicCoeff = vacancyflux_cahnhilliard_getEntropicCoeff + &
2015-06-11 14:31:37 +05:30
kB / &
lattice_vacancyVol ( material_phase ( grain , ip , el ) ) / &
lattice_vacancySurfaceEnergy ( material_phase ( grain , ip , el ) )
2015-05-28 22:32:23 +05:30
enddo
vacancyflux_cahnhilliard_getEntropicCoeff = &
vacancyflux_cahnhilliard_getEntropicCoeff * &
temperature ( material_homog ( ip , el ) ) % p ( thermalMapping ( material_homog ( ip , el ) ) % p ( ip , el ) ) / &
2016-05-27 15:16:34 +05:30
real ( homogenization_Ngrains ( material_homog ( ip , el ) ) , pReal )
2015-05-28 22:32:23 +05:30
end function vacancyflux_cahnhilliard_getEntropicCoeff
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized kinematic contribution to chemical potential
!--------------------------------------------------------------------------------------------------
subroutine vacancyflux_cahnhilliard_KinematicChemPotAndItsTangent ( KPot , dKPot_dCv , Cv , ip , el )
2015-06-11 14:31:37 +05:30
use lattice , only : &
lattice_vacancySurfaceEnergy
2015-05-28 22:32:23 +05:30
use material , only : &
homogenization_Ngrains , &
material_homog , &
phase_kinematics , &
phase_Nkinematics , &
material_phase , &
KINEMATICS_vacancy_strain_ID
use crystallite , only : &
crystallite_Tstar_v , &
crystallite_Fi0 , &
crystallite_Fi
use kinematics_vacancy_strain , only : &
kinematics_vacancy_strain_ChemPotAndItsTangent
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point number
el !< element number
real ( pReal ) , intent ( in ) :: &
Cv
real ( pReal ) , intent ( out ) :: &
KPot , dKPot_dCv
real ( pReal ) :: &
my_KPot , my_dKPot_dCv
integer ( pInt ) :: &
grain , kinematics
KPot = 0.0_pReal
dKPot_dCv = 0.0_pReal
do grain = 1_pInt , homogenization_Ngrains ( material_homog ( ip , el ) )
do kinematics = 1_pInt , phase_Nkinematics ( material_phase ( grain , ip , el ) )
select case ( phase_kinematics ( kinematics , material_phase ( grain , ip , el ) ) )
case ( KINEMATICS_vacancy_strain_ID )
call kinematics_vacancy_strain_ChemPotAndItsTangent ( my_KPot , my_dKPot_dCv , &
crystallite_Tstar_v ( 1 : 6 , grain , ip , el ) , &
crystallite_Fi0 ( 1 : 3 , 1 : 3 , grain , ip , el ) , &
crystallite_Fi ( 1 : 3 , 1 : 3 , grain , ip , el ) , &
grain , ip , el )
case default
my_KPot = 0.0_pReal
my_dKPot_dCv = 0.0_pReal
end select
2015-06-11 14:31:37 +05:30
KPot = KPot + my_KPot / lattice_vacancySurfaceEnergy ( material_phase ( grain , ip , el ) )
dKPot_dCv = dKPot_dCv + my_dKPot_dCv / lattice_vacancySurfaceEnergy ( material_phase ( grain , ip , el ) )
2015-05-28 22:32:23 +05:30
enddo
enddo
2016-05-27 15:16:34 +05:30
KPot = KPot / real ( homogenization_Ngrains ( material_homog ( ip , el ) ) , pReal )
dKPot_dCv = dKPot_dCv / real ( homogenization_Ngrains ( material_homog ( ip , el ) ) , pReal )
2015-05-28 22:32:23 +05:30
end subroutine vacancyflux_cahnhilliard_KinematicChemPotAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized chemical potential and its tangent
!--------------------------------------------------------------------------------------------------
subroutine vacancyflux_cahnhilliard_getChemPotAndItsTangent ( ChemPot , dChemPot_dCv , Cv , ip , el )
use numerics , only : &
vacancyBoundPenalty , &
vacancyPolyOrder
use material , only : &
mappingHomogenization , &
2015-06-11 14:31:37 +05:30
vacancyflux_typeInstance , &
2015-05-28 22:32:23 +05:30
porosity , &
porosityMapping
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point number
el !< element number
real ( pReal ) , intent ( in ) :: &
Cv
real ( pReal ) , intent ( out ) :: &
ChemPot , &
dChemPot_dCv
real ( pReal ) :: &
VoidPhaseFrac , kBT , KPot , dKPot_dCv
integer ( pInt ) :: &
homog , o
homog = mappingHomogenization ( 2 , ip , el )
VoidPhaseFrac = porosity ( homog ) % p ( porosityMapping ( homog ) % p ( ip , el ) )
kBT = vacancyflux_cahnhilliard_getEntropicCoeff ( ip , el )
2015-07-24 20:23:50 +05:30
ChemPot = vacancyflux_cahnhilliard_getFormationEnergy ( ip , el )
2015-05-28 22:32:23 +05:30
dChemPot_dCv = 0.0_pReal
do o = 1_pInt , vacancyPolyOrder
ChemPot = ChemPot + kBT * ( ( 2.0_pReal * Cv - 1.0_pReal ) ** real ( 2_pInt * o - 1_pInt , pReal ) ) / &
real ( 2_pInt * o - 1_pInt , pReal )
dChemPot_dCv = dChemPot_dCv + 2.0_pReal * kBT * ( 2.0_pReal * Cv - 1.0_pReal ) ** real ( 2_pInt * o - 2_pInt , pReal )
enddo
ChemPot = VoidPhaseFrac * VoidPhaseFrac * ChemPot &
- 2.0_pReal * ( 1.0_pReal - Cv ) * ( 1.0_pReal - VoidPhaseFrac ) * ( 1.0_pReal - VoidPhaseFrac )
dChemPot_dCv = VoidPhaseFrac * VoidPhaseFrac * dChemPot_dCv &
+ 2.0_pReal * ( 1.0_pReal - VoidPhaseFrac ) * ( 1.0_pReal - VoidPhaseFrac )
call vacancyflux_cahnhilliard_KinematicChemPotAndItsTangent ( KPot , dKPot_dCv , Cv , ip , el )
ChemPot = ChemPot + KPot
dChemPot_dCv = dChemPot_dCv + dKPot_dCv
if ( Cv < 0.0_pReal ) then
ChemPot = ChemPot - 3.0_pReal * vacancyBoundPenalty * Cv * Cv
dChemPot_dCv = dChemPot_dCv - 6.0_pReal * vacancyBoundPenalty * Cv
elseif ( Cv > 1.0_pReal ) then
ChemPot = ChemPot + 3.0_pReal * vacancyBoundPenalty * ( 1.0_pReal - Cv ) * ( 1.0_pReal - Cv )
dChemPot_dCv = dChemPot_dCv - 6.0_pReal * vacancyBoundPenalty * ( 1.0_pReal - Cv )
2015-07-24 20:23:50 +05:30
endif
ChemPot = ChemPot * &
vacancyflux_cahnhilliard_thermalFluc ( vacancyflux_typeInstance ( homog ) ) % p ( mappingHomogenization ( 1 , ip , el ) )
dChemPot_dCv = dChemPot_dCv * &
vacancyflux_cahnhilliard_thermalFluc ( vacancyflux_typeInstance ( homog ) ) % p ( mappingHomogenization ( 1 , ip , el ) )
2015-05-28 22:32:23 +05:30
end subroutine vacancyflux_cahnhilliard_getChemPotAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief updated vacancy concentration and its rate with solution from transport PDE
!--------------------------------------------------------------------------------------------------
subroutine vacancyflux_cahnhilliard_putVacancyConcAndItsRate ( Cv , Cvdot , ip , el )
use material , only : &
mappingHomogenization , &
vacancyConc , &
vacancyConcRate , &
vacancyfluxMapping
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point number
el !< element number
real ( pReal ) , intent ( in ) :: &
Cv , &
Cvdot
integer ( pInt ) :: &
homog , &
offset
homog = mappingHomogenization ( 2 , ip , el )
offset = vacancyfluxMapping ( homog ) % p ( ip , el )
vacancyConc ( homog ) % p ( offset ) = Cv
vacancyConcRate ( homog ) % p ( offset ) = Cvdot
end subroutine vacancyflux_cahnhilliard_putVacancyConcAndItsRate
!--------------------------------------------------------------------------------------------------
!> @brief return array of vacancy transport results
!--------------------------------------------------------------------------------------------------
function vacancyflux_cahnhilliard_postResults ( ip , el )
use material , only : &
mappingHomogenization , &
vacancyflux_typeInstance , &
vacancyConc , &
vacancyfluxMapping
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point
el !< element
real ( pReal ) , dimension ( vacancyflux_cahnhilliard_sizePostResults ( vacancyflux_typeInstance ( mappingHomogenization ( 2 , ip , el ) ) ) ) :: &
vacancyflux_cahnhilliard_postResults
integer ( pInt ) :: &
instance , homog , offset , o , c
homog = mappingHomogenization ( 2 , ip , el )
offset = vacancyfluxMapping ( homog ) % p ( ip , el )
instance = vacancyflux_typeInstance ( homog )
c = 0_pInt
vacancyflux_cahnhilliard_postResults = 0.0_pReal
do o = 1_pInt , vacancyflux_cahnhilliard_Noutput ( instance )
select case ( vacancyflux_cahnhilliard_outputID ( o , instance ) )
case ( vacancyConc_ID )
vacancyflux_cahnhilliard_postResults ( c + 1_pInt ) = vacancyConc ( homog ) % p ( offset )
c = c + 1
end select
enddo
end function vacancyflux_cahnhilliard_postResults
end module vacancyflux_cahnhilliard