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!--------------------------------------------------------------------------------------------------
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine for conservative transport of solute hydrogen
!> @details to be done
!--------------------------------------------------------------------------------------------------
module hydrogenflux_cahnhilliard
use prec , only : &
pReal , &
pInt
implicit none
private
integer ( pInt ) , dimension ( : ) , allocatable , public , protected :: &
hydrogenflux_cahnhilliard_sizePostResults !< cumulative size of post results
integer ( pInt ) , dimension ( : , : ) , allocatable , target , public :: &
hydrogenflux_cahnhilliard_sizePostResult !< size of each post result output
character ( len = 64 ) , dimension ( : , : ) , allocatable , target , public :: &
hydrogenflux_cahnhilliard_output !< name of each post result output
integer ( pInt ) , dimension ( : ) , allocatable , target , public :: &
hydrogenflux_cahnhilliard_Noutput !< number of outputs per instance of this damage
real ( pReal ) , parameter , private :: &
kB = 1.3806488e-23_pReal !< Boltzmann constant in J/Kelvin
enum , bind ( c )
enumerator :: undefined_ID , &
hydrogenConc_ID
end enum
integer ( kind ( undefined_ID ) ) , dimension ( : , : ) , allocatable , private :: &
hydrogenflux_cahnhilliard_outputID !< ID of each post result output
public :: &
hydrogenflux_cahnhilliard_init , &
hydrogenflux_cahnhilliard_getMobility33 , &
hydrogenflux_cahnhilliard_getDiffusion33 , &
hydrogenflux_cahnhilliard_getFormationEnergy , &
hydrogenflux_cahnhilliard_KinematicChemPotAndItsTangent , &
hydrogenflux_cahnhilliard_getChemPotAndItsTangent , &
hydrogenflux_cahnhilliard_putHydrogenConcAndItsRate , &
hydrogenflux_cahnhilliard_postResults
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine hydrogenflux_cahnhilliard_init ( fileUnit )
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#ifdef __GFORTRAN__
use , intrinsic :: iso_fortran_env , only : &
compiler_version , &
compiler_options
#endif
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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 : &
hydrogenflux_type , &
hydrogenflux_typeInstance , &
homogenization_Noutput , &
HYDROGENFLUX_cahnhilliard_label , &
HYDROGENFLUX_cahnhilliard_ID , &
material_homog , &
mappingHomogenization , &
hydrogenfluxState , &
hydrogenfluxMapping , &
hydrogenConc , &
hydrogenConcRate , &
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hydrogenflux_initialCh , &
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material_partHomogenization , &
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 , mySize = 0_pInt , section , instance , o
integer ( pInt ) :: sizeState
integer ( pInt ) :: NofMyHomog
character ( len = 65536 ) :: &
tag = '' , &
line = ''
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write ( 6 , '(/,a)' ) ' <<<+- hydrogenflux_' / / HYDROGENFLUX_cahnhilliard_label / / ' init -+>>>'
write ( 6 , '(a15,a)' ) ' Current time: ' , IO_timeStamp ( )
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#include "compilation_info.f90"
maxNinstance = int ( count ( hydrogenflux_type == HYDROGENFLUX_cahnhilliard_ID ) , pInt )
if ( maxNinstance == 0_pInt ) return
allocate ( hydrogenflux_cahnhilliard_sizePostResults ( maxNinstance ) , source = 0_pInt )
allocate ( hydrogenflux_cahnhilliard_sizePostResult ( maxval ( homogenization_Noutput ) , maxNinstance ) , source = 0_pInt )
allocate ( hydrogenflux_cahnhilliard_output ( maxval ( homogenization_Noutput ) , maxNinstance ) )
hydrogenflux_cahnhilliard_output = ''
allocate ( hydrogenflux_cahnhilliard_outputID ( maxval ( homogenization_Noutput ) , maxNinstance ) , source = undefined_ID )
allocate ( hydrogenflux_cahnhilliard_Noutput ( maxNinstance ) , source = 0_pInt )
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 ( hydrogenflux_type ( section ) == HYDROGENFLUX_cahnhilliard_ID ) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
instance = hydrogenflux_typeInstance ( section ) ! which instance of my hydrogenflux is present homog
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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 ( '(output)' )
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select case ( IO_lc ( IO_stringValue ( line , chunkPos , 2_pInt ) ) )
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case ( 'hydrogenconc' )
hydrogenflux_cahnhilliard_Noutput ( instance ) = hydrogenflux_cahnhilliard_Noutput ( instance ) + 1_pInt
hydrogenflux_cahnhilliard_outputID ( hydrogenflux_cahnhilliard_Noutput ( instance ) , instance ) = hydrogenConc_ID
hydrogenflux_cahnhilliard_output ( hydrogenflux_cahnhilliard_Noutput ( instance ) , instance ) = &
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IO_lc ( IO_stringValue ( line , chunkPos , 2_pInt ) )
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end select
end select
endif ; endif
enddo parsingHomog
rewind ( fileUnit )
section = 0_pInt
do while ( trim ( line ) / = IO_EOF . and . IO_lc ( IO_getTag ( line , '<' , '>' ) ) / = material_partPhase ) ! wind forward to <homogenization>
line = IO_read ( fileUnit )
enddo
initializeInstances : do section = 1_pInt , size ( hydrogenflux_type )
if ( hydrogenflux_type ( section ) == HYDROGENFLUX_cahnhilliard_ID ) then
NofMyHomog = count ( material_homog == section )
instance = hydrogenflux_typeInstance ( section )
!--------------------------------------------------------------------------------------------------
! Determine size of postResults array
outputsLoop : do o = 1_pInt , hydrogenflux_cahnhilliard_Noutput ( instance )
select case ( hydrogenflux_cahnhilliard_outputID ( o , instance ) )
case ( hydrogenConc_ID )
mySize = 1_pInt
end select
if ( mySize > 0_pInt ) then ! any meaningful output found
hydrogenflux_cahnhilliard_sizePostResult ( o , instance ) = mySize
hydrogenflux_cahnhilliard_sizePostResults ( instance ) = hydrogenflux_cahnhilliard_sizePostResults ( instance ) + mySize
endif
enddo outputsLoop
! allocate state arrays
sizeState = 0_pInt
hydrogenfluxState ( section ) % sizeState = sizeState
hydrogenfluxState ( section ) % sizePostResults = hydrogenflux_cahnhilliard_sizePostResults ( instance )
allocate ( hydrogenfluxState ( section ) % state0 ( sizeState , NofMyHomog ) )
allocate ( hydrogenfluxState ( section ) % subState0 ( sizeState , NofMyHomog ) )
allocate ( hydrogenfluxState ( section ) % state ( sizeState , NofMyHomog ) )
nullify ( hydrogenfluxMapping ( section ) % p )
hydrogenfluxMapping ( section ) % p = > mappingHomogenization ( 1 , : , : )
deallocate ( hydrogenConc ( section ) % p )
deallocate ( hydrogenConcRate ( section ) % p )
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allocate ( hydrogenConc ( section ) % p ( NofMyHomog ) , source = hydrogenflux_initialCh ( section ) )
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allocate ( hydrogenConcRate ( section ) % p ( NofMyHomog ) , source = 0.0_pReal )
endif
enddo initializeInstances
end subroutine hydrogenflux_cahnhilliard_init
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized solute mobility tensor in reference configuration
!--------------------------------------------------------------------------------------------------
function hydrogenflux_cahnhilliard_getMobility33 ( ip , el )
use lattice , only : &
lattice_hydrogenfluxMobility33
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 ) :: &
hydrogenflux_cahnhilliard_getMobility33
integer ( pInt ) :: &
grain
hydrogenflux_cahnhilliard_getMobility33 = 0.0_pReal
do grain = 1 , homogenization_Ngrains ( mesh_element ( 3 , el ) )
hydrogenflux_cahnhilliard_getMobility33 = hydrogenflux_cahnhilliard_getMobility33 + &
crystallite_push33ToRef ( grain , ip , el , lattice_hydrogenfluxMobility33 ( : , : , material_phase ( grain , ip , el ) ) )
enddo
hydrogenflux_cahnhilliard_getMobility33 = &
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hydrogenflux_cahnhilliard_getMobility33 / real ( homogenization_Ngrains ( mesh_element ( 3 , el ) ) , pReal )
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end function hydrogenflux_cahnhilliard_getMobility33
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized solute nonlocal diffusion tensor in reference configuration
!--------------------------------------------------------------------------------------------------
function hydrogenflux_cahnhilliard_getDiffusion33 ( ip , el )
use lattice , only : &
lattice_hydrogenfluxDiffusion33
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 ) :: &
hydrogenflux_cahnhilliard_getDiffusion33
integer ( pInt ) :: &
grain
hydrogenflux_cahnhilliard_getDiffusion33 = 0.0_pReal
do grain = 1 , homogenization_Ngrains ( mesh_element ( 3 , el ) )
hydrogenflux_cahnhilliard_getDiffusion33 = hydrogenflux_cahnhilliard_getDiffusion33 + &
crystallite_push33ToRef ( grain , ip , el , lattice_hydrogenfluxDiffusion33 ( : , : , material_phase ( grain , ip , el ) ) )
enddo
hydrogenflux_cahnhilliard_getDiffusion33 = &
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hydrogenflux_cahnhilliard_getDiffusion33 / real ( homogenization_Ngrains ( mesh_element ( 3 , el ) ) , pReal )
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end function hydrogenflux_cahnhilliard_getDiffusion33
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized solution energy
!--------------------------------------------------------------------------------------------------
function hydrogenflux_cahnhilliard_getFormationEnergy ( ip , el )
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use lattice , only : &
lattice_hydrogenFormationEnergy , &
lattice_hydrogenVol , &
lattice_hydrogenSurfaceEnergy
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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
real ( pReal ) :: &
hydrogenflux_cahnhilliard_getFormationEnergy
integer ( pInt ) :: &
grain
hydrogenflux_cahnhilliard_getFormationEnergy = 0.0_pReal
do grain = 1 , homogenization_Ngrains ( mesh_element ( 3 , el ) )
hydrogenflux_cahnhilliard_getFormationEnergy = hydrogenflux_cahnhilliard_getFormationEnergy + &
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lattice_hydrogenFormationEnergy ( material_phase ( grain , ip , el ) ) / &
lattice_hydrogenVol ( material_phase ( grain , ip , el ) ) / &
lattice_hydrogenSurfaceEnergy ( material_phase ( grain , ip , el ) )
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enddo
hydrogenflux_cahnhilliard_getFormationEnergy = &
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hydrogenflux_cahnhilliard_getFormationEnergy / real ( homogenization_Ngrains ( mesh_element ( 3 , el ) ) , pReal )
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end function hydrogenflux_cahnhilliard_getFormationEnergy
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized hydrogen entropy coefficient
!--------------------------------------------------------------------------------------------------
function hydrogenflux_cahnhilliard_getEntropicCoeff ( ip , el )
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use lattice , only : &
lattice_hydrogenVol , &
lattice_hydrogenSurfaceEnergy
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use material , only : &
homogenization_Ngrains , &
material_homog , &
material_phase , &
temperature , &
thermalMapping
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point number
el !< element number
real ( pReal ) :: &
hydrogenflux_cahnhilliard_getEntropicCoeff
integer ( pInt ) :: &
grain
hydrogenflux_cahnhilliard_getEntropicCoeff = 0.0_pReal
do grain = 1 , homogenization_Ngrains ( material_homog ( ip , el ) )
hydrogenflux_cahnhilliard_getEntropicCoeff = hydrogenflux_cahnhilliard_getEntropicCoeff + &
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kB / &
lattice_hydrogenVol ( material_phase ( grain , ip , el ) ) / &
lattice_hydrogenSurfaceEnergy ( material_phase ( grain , ip , el ) )
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enddo
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hydrogenflux_cahnhilliard_getEntropicCoeff = hydrogenflux_cahnhilliard_getEntropicCoeff * &
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temperature ( material_homog ( ip , el ) ) % p ( thermalMapping ( material_homog ( ip , el ) ) % p ( ip , el ) ) / &
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real ( homogenization_Ngrains ( material_homog ( ip , el ) ) , pReal )
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end function hydrogenflux_cahnhilliard_getEntropicCoeff
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized kinematic contribution to chemical potential
!--------------------------------------------------------------------------------------------------
subroutine hydrogenflux_cahnhilliard_KinematicChemPotAndItsTangent ( KPot , dKPot_dCh , Ch , ip , el )
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use lattice , only : &
lattice_hydrogenSurfaceEnergy
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use material , only : &
homogenization_Ngrains , &
material_homog , &
phase_kinematics , &
phase_Nkinematics , &
material_phase , &
KINEMATICS_hydrogen_strain_ID
use crystallite , only : &
crystallite_Tstar_v , &
crystallite_Fi0 , &
crystallite_Fi
use kinematics_hydrogen_strain , only : &
kinematics_hydrogen_strain_ChemPotAndItsTangent
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point number
el !< element number
real ( pReal ) , intent ( in ) :: &
Ch
real ( pReal ) , intent ( out ) :: &
KPot , dKPot_dCh
real ( pReal ) :: &
my_KPot , my_dKPot_dCh
integer ( pInt ) :: &
grain , kinematics
KPot = 0.0_pReal
dKPot_dCh = 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_hydrogen_strain_ID )
call kinematics_hydrogen_strain_ChemPotAndItsTangent ( my_KPot , my_dKPot_dCh , &
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_dCh = 0.0_pReal
end select
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KPot = KPot + my_KPot / lattice_hydrogenSurfaceEnergy ( material_phase ( grain , ip , el ) )
dKPot_dCh = dKPot_dCh + my_dKPot_dCh / lattice_hydrogenSurfaceEnergy ( material_phase ( grain , ip , el ) )
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enddo
enddo
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KPot = KPot / real ( homogenization_Ngrains ( material_homog ( ip , el ) ) , pReal )
dKPot_dCh = dKPot_dCh / real ( homogenization_Ngrains ( material_homog ( ip , el ) ) , pReal )
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end subroutine hydrogenflux_cahnhilliard_KinematicChemPotAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized chemical potential
!--------------------------------------------------------------------------------------------------
subroutine hydrogenflux_cahnhilliard_getChemPotAndItsTangent ( ChemPot , dChemPot_dCh , Ch , ip , el )
use numerics , only : &
hydrogenBoundPenalty , &
hydrogenPolyOrder
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point number
el !< element number
real ( pReal ) , intent ( in ) :: &
Ch
real ( pReal ) , intent ( out ) :: &
ChemPot , &
dChemPot_dCh
real ( pReal ) :: &
kBT , KPot , dKPot_dCh
integer ( pInt ) :: &
o
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ChemPot = hydrogenflux_cahnhilliard_getFormationEnergy ( ip , el )
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dChemPot_dCh = 0.0_pReal
kBT = hydrogenflux_cahnhilliard_getEntropicCoeff ( ip , el )
do o = 1_pInt , hydrogenPolyOrder
ChemPot = ChemPot + kBT * ( ( 2.0_pReal * Ch - 1.0_pReal ) ** real ( 2_pInt * o - 1_pInt , pReal ) ) / &
real ( 2_pInt * o - 1_pInt , pReal )
dChemPot_dCh = dChemPot_dCh + 2.0_pReal * kBT * ( 2.0_pReal * Ch - 1.0_pReal ) ** real ( 2_pInt * o - 2_pInt , pReal )
enddo
call hydrogenflux_cahnhilliard_KinematicChemPotAndItsTangent ( KPot , dKPot_dCh , Ch , ip , el )
ChemPot = ChemPot + KPot
dChemPot_dCh = dChemPot_dCh + dKPot_dCh
if ( Ch < 0.0_pReal ) then
ChemPot = ChemPot - 3.0_pReal * hydrogenBoundPenalty * Ch * Ch
dChemPot_dCh = dChemPot_dCh - 6.0_pReal * hydrogenBoundPenalty * Ch
elseif ( Ch > 1.0_pReal ) then
ChemPot = ChemPot + 3.0_pReal * hydrogenBoundPenalty * ( 1.0_pReal - Ch ) * ( 1.0_pReal - Ch )
dChemPot_dCh = dChemPot_dCh - 6.0_pReal * hydrogenBoundPenalty * ( 1.0_pReal - Ch )
endif
end subroutine hydrogenflux_cahnhilliard_getChemPotAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief updates hydrogen concentration with solution from Cahn-Hilliard PDE for solute transport
!--------------------------------------------------------------------------------------------------
subroutine hydrogenflux_cahnhilliard_putHydrogenConcAndItsRate ( Ch , Chdot , ip , el )
use material , only : &
mappingHomogenization , &
hydrogenConc , &
hydrogenConcRate , &
hydrogenfluxMapping
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point number
el !< element number
real ( pReal ) , intent ( in ) :: &
Ch , &
Chdot
integer ( pInt ) :: &
homog , &
offset
homog = mappingHomogenization ( 2 , ip , el )
offset = hydrogenfluxMapping ( homog ) % p ( ip , el )
hydrogenConc ( homog ) % p ( offset ) = Ch
hydrogenConcRate ( homog ) % p ( offset ) = Chdot
end subroutine hydrogenflux_cahnhilliard_putHydrogenConcAndItsRate
!--------------------------------------------------------------------------------------------------
!> @brief return array of hydrogen transport results
!--------------------------------------------------------------------------------------------------
function hydrogenflux_cahnhilliard_postResults ( ip , el )
use material , only : &
mappingHomogenization , &
hydrogenflux_typeInstance , &
hydrogenConc , &
hydrogenfluxMapping
implicit none
integer ( pInt ) , intent ( in ) :: &
ip , & !< integration point
el !< element
real ( pReal ) , dimension ( hydrogenflux_cahnhilliard_sizePostResults ( hydrogenflux_typeInstance ( mappingHomogenization ( 2 , ip , el ) ) ) ) :: &
hydrogenflux_cahnhilliard_postResults
integer ( pInt ) :: &
instance , homog , offset , o , c
homog = mappingHomogenization ( 2 , ip , el )
offset = hydrogenfluxMapping ( homog ) % p ( ip , el )
instance = hydrogenflux_typeInstance ( homog )
c = 0_pInt
hydrogenflux_cahnhilliard_postResults = 0.0_pReal
do o = 1_pInt , hydrogenflux_cahnhilliard_Noutput ( instance )
select case ( hydrogenflux_cahnhilliard_outputID ( o , instance ) )
case ( hydrogenConc_ID )
hydrogenflux_cahnhilliard_postResults ( c + 1_pInt ) = hydrogenConc ( homog ) % p ( offset )
c = c + 1
end select
enddo
end function hydrogenflux_cahnhilliard_postResults
end module hydrogenflux_cahnhilliard