DAMASK_EICMD/src/hydrogenflux_cahnhilliard.f90

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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)
#if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800
use, intrinsic :: iso_fortran_env, only: &
compiler_version, &
compiler_options
#endif
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, &
hydrogenflux_initialCh, &
material_partHomogenization, &
material_partPhase
implicit none
integer(pInt), intent(in) :: fileUnit
integer(pInt), allocatable, dimension(:) :: chunkPos
integer(pInt) :: maxNinstance,mySize=0_pInt,section,instance,o
integer(pInt) :: sizeState
integer(pInt) :: NofMyHomog
character(len=65536) :: &
tag = '', &
line = ''
write(6,'(/,a)') ' <<<+- hydrogenflux_'//HYDROGENFLUX_cahnhilliard_label//' init -+>>>'
write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
#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
chunkPos = IO_stringPos(line)
tag = IO_lc(IO_stringValue(line,chunkPos,1_pInt)) ! extract key
select case(tag)
case ('(output)')
select case(IO_lc(IO_stringValue(line,chunkPos,2_pInt)))
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) = &
IO_lc(IO_stringValue(line,chunkPos,2_pInt))
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)
allocate (hydrogenConc (section)%p(NofMyHomog), source=hydrogenflux_initialCh(section))
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)
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)
end function hydrogenflux_cahnhilliard_getDiffusion33
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized solution energy
!--------------------------------------------------------------------------------------------------
function hydrogenflux_cahnhilliard_getFormationEnergy(ip,el)
use lattice, only: &
lattice_hydrogenFormationEnergy, &
lattice_hydrogenVol, &
lattice_hydrogenSurfaceEnergy
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 + &
lattice_hydrogenFormationEnergy(material_phase(grain,ip,el))/ &
lattice_hydrogenVol(material_phase(grain,ip,el))/ &
lattice_hydrogenSurfaceEnergy(material_phase(grain,ip,el))
enddo
hydrogenflux_cahnhilliard_getFormationEnergy = &
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hydrogenflux_cahnhilliard_getFormationEnergy/real(homogenization_Ngrains(mesh_element(3,el)),pReal)
end function hydrogenflux_cahnhilliard_getFormationEnergy
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized hydrogen entropy coefficient
!--------------------------------------------------------------------------------------------------
function hydrogenflux_cahnhilliard_getEntropicCoeff(ip,el)
use lattice, only: &
lattice_hydrogenVol, &
lattice_hydrogenSurfaceEnergy
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 + &
kB/ &
lattice_hydrogenVol(material_phase(grain,ip,el))/ &
lattice_hydrogenSurfaceEnergy(material_phase(grain,ip,el))
enddo
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hydrogenflux_cahnhilliard_getEntropicCoeff = hydrogenflux_cahnhilliard_getEntropicCoeff* &
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)
end function hydrogenflux_cahnhilliard_getEntropicCoeff
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized kinematic contribution to chemical potential
!--------------------------------------------------------------------------------------------------
subroutine hydrogenflux_cahnhilliard_KinematicChemPotAndItsTangent(KPot, dKPot_dCh, Ch, ip, el)
use lattice, only: &
lattice_hydrogenSurfaceEnergy
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
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))
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)
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
ChemPot = hydrogenflux_cahnhilliard_getFormationEnergy(ip,el)
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