DAMASK_EICMD/code/porosity/porosity_phasefield.f90

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!--------------------------------------------------------------------------------------------------
! $Id$
!--------------------------------------------------------------------------------------------------
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine for phase field modelling of pore nucleation and growth
!> @details phase field model for pore nucleation and growth based on vacancy clustering
!--------------------------------------------------------------------------------------------------
module porosity_phasefield
use prec, only: &
pReal, &
pInt
implicit none
private
integer(pInt), dimension(:), allocatable, public, protected :: &
porosity_phasefield_sizePostResults !< cumulative size of post results
integer(pInt), dimension(:,:), allocatable, target, public :: &
porosity_phasefield_sizePostResult !< size of each post result output
character(len=64), dimension(:,:), allocatable, target, public :: &
porosity_phasefield_output !< name of each post result output
integer(pInt), dimension(:), allocatable, target, public :: &
porosity_phasefield_Noutput !< number of outputs per instance of this porosity
enum, bind(c)
enumerator :: undefined_ID, &
porosity_ID
end enum
integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: &
porosity_phasefield_outputID !< ID of each post result output
public :: &
porosity_phasefield_init, &
porosity_phasefield_getFormationEnergy, &
porosity_phasefield_getSurfaceEnergy, &
porosity_phasefield_getSourceAndItsTangent, &
porosity_phasefield_getDiffusion33, &
porosity_phasefield_getMobility, &
porosity_phasefield_putPorosity, &
porosity_phasefield_postResults
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine porosity_phasefield_init(fileUnit)
use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
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: &
porosity_type, &
porosity_typeInstance, &
homogenization_Noutput, &
POROSITY_phasefield_label, &
POROSITY_phasefield_ID, &
material_homog, &
mappingHomogenization, &
porosityState, &
porosityMapping, &
porosity, &
porosity_initialPhi, &
material_partHomogenization, &
material_partPhase
use numerics,only: &
worldrank
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 = ''
mainProcess: if (worldrank == 0) then
write(6,'(/,a)') ' <<<+- porosity_'//POROSITY_phasefield_label//' init -+>>>'
write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
#include "compilation_info.f90"
endif mainProcess
maxNinstance = int(count(porosity_type == POROSITY_phasefield_ID),pInt)
if (maxNinstance == 0_pInt) return
allocate(porosity_phasefield_sizePostResults(maxNinstance), source=0_pInt)
allocate(porosity_phasefield_sizePostResult (maxval(homogenization_Noutput),maxNinstance),source=0_pInt)
allocate(porosity_phasefield_output (maxval(homogenization_Noutput),maxNinstance))
porosity_phasefield_output = ''
allocate(porosity_phasefield_outputID (maxval(homogenization_Noutput),maxNinstance),source=undefined_ID)
allocate(porosity_phasefield_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 (porosity_type(section) == POROSITY_phasefield_ID) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
instance = porosity_typeInstance(section) ! which instance of my porosity 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 ('porosity')
porosity_phasefield_Noutput(instance) = porosity_phasefield_Noutput(instance) + 1_pInt
porosity_phasefield_outputID(porosity_phasefield_Noutput(instance),instance) = porosity_ID
porosity_phasefield_output(porosity_phasefield_Noutput(instance),instance) = &
IO_lc(IO_stringValue(line,chunkPos,2_pInt))
end select
end select
endif; endif
enddo parsingHomog
initializeInstances: do section = 1_pInt, size(porosity_type)
if (porosity_type(section) == POROSITY_phasefield_ID) then
NofMyHomog=count(material_homog==section)
instance = porosity_typeInstance(section)
!--------------------------------------------------------------------------------------------------
! Determine size of postResults array
outputsLoop: do o = 1_pInt,porosity_phasefield_Noutput(instance)
select case(porosity_phasefield_outputID(o,instance))
case(porosity_ID)
mySize = 1_pInt
end select
if (mySize > 0_pInt) then ! any meaningful output found
porosity_phasefield_sizePostResult(o,instance) = mySize
porosity_phasefield_sizePostResults(instance) = porosity_phasefield_sizePostResults(instance) + mySize
endif
enddo outputsLoop
! allocate state arrays
sizeState = 0_pInt
porosityState(section)%sizeState = sizeState
porosityState(section)%sizePostResults = porosity_phasefield_sizePostResults(instance)
allocate(porosityState(section)%state0 (sizeState,NofMyHomog))
allocate(porosityState(section)%subState0(sizeState,NofMyHomog))
allocate(porosityState(section)%state (sizeState,NofMyHomog))
nullify(porosityMapping(section)%p)
porosityMapping(section)%p => mappingHomogenization(1,:,:)
deallocate(porosity(section)%p)
allocate(porosity(section)%p(NofMyHomog), source=porosity_initialPhi(section))
endif
enddo initializeInstances
end subroutine porosity_phasefield_init
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized vacancy formation energy
!--------------------------------------------------------------------------------------------------
function porosity_phasefield_getFormationEnergy(ip,el)
use lattice, only: &
lattice_vacancyFormationEnergy, &
lattice_vacancyVol
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) :: &
porosity_phasefield_getFormationEnergy
integer(pInt) :: &
grain
porosity_phasefield_getFormationEnergy = 0.0_pReal
do grain = 1, homogenization_Ngrains(mesh_element(3,el))
porosity_phasefield_getFormationEnergy = porosity_phasefield_getFormationEnergy + &
lattice_vacancyFormationEnergy(material_phase(grain,ip,el))/ &
lattice_vacancyVol(material_phase(grain,ip,el))
enddo
porosity_phasefield_getFormationEnergy = &
porosity_phasefield_getFormationEnergy/ &
homogenization_Ngrains(mesh_element(3,el))
end function porosity_phasefield_getFormationEnergy
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized pore surface energy (normalized by characteristic length)
!--------------------------------------------------------------------------------------------------
function porosity_phasefield_getSurfaceEnergy(ip,el)
use lattice, only: &
lattice_vacancySurfaceEnergy
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) :: &
porosity_phasefield_getSurfaceEnergy
integer(pInt) :: &
grain
porosity_phasefield_getSurfaceEnergy = 0.0_pReal
do grain = 1, homogenization_Ngrains(mesh_element(3,el))
porosity_phasefield_getSurfaceEnergy = porosity_phasefield_getSurfaceEnergy + &
lattice_vacancySurfaceEnergy(material_phase(grain,ip,el))
enddo
porosity_phasefield_getSurfaceEnergy = &
porosity_phasefield_getSurfaceEnergy/ &
homogenization_Ngrains(mesh_element(3,el))
end function porosity_phasefield_getSurfaceEnergy
!--------------------------------------------------------------------------------------------------
!> @brief calculates homogenized local driving force for pore nucleation and growth
!--------------------------------------------------------------------------------------------------
subroutine porosity_phasefield_getSourceAndItsTangent(phiDot, dPhiDot_dPhi, phi, ip, el)
use math, only : &
math_mul33x33, &
math_mul66x6, &
math_Mandel33to6, &
math_transpose33, &
math_I3
use material, only: &
homogenization_Ngrains, &
material_homog, &
material_phase, &
phase_NstiffnessDegradations, &
phase_stiffnessDegradation, &
vacancyConc, &
vacancyfluxMapping, &
damage, &
damageMapping, &
STIFFNESS_DEGRADATION_damage_ID
use crystallite, only: &
crystallite_Fe
use constitutive, only: &
constitutive_homogenizedC
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point number
el !< element number
real(pReal), intent(in) :: &
phi
integer(pInt) :: &
phase, &
grain, &
homog, &
mech
real(pReal) :: &
phiDot, dPhiDot_dPhi, Cv, W_e, strain(6), C(6,6)
homog = material_homog(ip,el)
Cv = vacancyConc(homog)%p(vacancyfluxMapping(homog)%p(ip,el))
W_e = 0.0_pReal
do grain = 1, homogenization_Ngrains(homog)
phase = material_phase(grain,ip,el)
strain = math_Mandel33to6(math_mul33x33(math_transpose33(crystallite_Fe(1:3,1:3,grain,ip,el)), &
crystallite_Fe(1:3,1:3,grain,ip,el)) - math_I3)/2.0_pReal
C = constitutive_homogenizedC(grain,ip,el)
do mech = 1_pInt, phase_NstiffnessDegradations(phase)
select case(phase_stiffnessDegradation(mech,phase))
case (STIFFNESS_DEGRADATION_damage_ID)
C = damage(homog)%p(damageMapping(homog)%p(ip,el))* &
damage(homog)%p(damageMapping(homog)%p(ip,el))* &
C
end select
enddo
W_e = W_e + sum(abs(strain*math_mul66x6(C,strain)))
enddo
W_e = W_e/homogenization_Ngrains(homog)
phiDot = 2.0_pReal*(1.0_pReal - phi)*(1.0_pReal - Cv)*(1.0_pReal - Cv) - &
2.0_pReal*phi*(W_e + Cv*porosity_phasefield_getFormationEnergy(ip,el))/ &
porosity_phasefield_getSurfaceEnergy (ip,el)
dPhiDot_dPhi = - 2.0_pReal*(1.0_pReal - Cv)*(1.0_pReal - Cv) &
- 2.0_pReal*(W_e + Cv*porosity_phasefield_getFormationEnergy(ip,el))/ &
porosity_phasefield_getSurfaceEnergy (ip,el)
end subroutine porosity_phasefield_getSourceAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized nonlocal diffusion tensor in reference configuration
!--------------------------------------------------------------------------------------------------
function porosity_phasefield_getDiffusion33(ip,el)
use lattice, only: &
lattice_PorosityDiffusion33
use material, only: &
homogenization_Ngrains, &
material_phase, &
mappingHomogenization
use crystallite, only: &
crystallite_push33ToRef
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point number
el !< element number
real(pReal), dimension(3,3) :: &
porosity_phasefield_getDiffusion33
integer(pInt) :: &
homog, &
grain
homog = mappingHomogenization(2,ip,el)
porosity_phasefield_getDiffusion33 = 0.0_pReal
do grain = 1, homogenization_Ngrains(homog)
porosity_phasefield_getDiffusion33 = porosity_phasefield_getDiffusion33 + &
crystallite_push33ToRef(grain,ip,el,lattice_PorosityDiffusion33(1:3,1:3,material_phase(grain,ip,el)))
enddo
porosity_phasefield_getDiffusion33 = &
porosity_phasefield_getDiffusion33/ &
homogenization_Ngrains(homog)
end function porosity_phasefield_getDiffusion33
!--------------------------------------------------------------------------------------------------
!> @brief Returns homogenized phase field mobility
!--------------------------------------------------------------------------------------------------
real(pReal) function porosity_phasefield_getMobility(ip,el)
use mesh, only: &
mesh_element
use lattice, only: &
lattice_PorosityMobility
use material, only: &
material_phase, &
homogenization_Ngrains
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point number
el !< element number
integer(pInt) :: &
ipc
porosity_phasefield_getMobility = 0.0_pReal
do ipc = 1, homogenization_Ngrains(mesh_element(3,el))
porosity_phasefield_getMobility = porosity_phasefield_getMobility + lattice_PorosityMobility(material_phase(ipc,ip,el))
enddo
porosity_phasefield_getMobility = porosity_phasefield_getMobility/homogenization_Ngrains(mesh_element(3,el))
end function porosity_phasefield_getMobility
!--------------------------------------------------------------------------------------------------
!> @brief updates porosity with solution from phasefield PDE
!--------------------------------------------------------------------------------------------------
subroutine porosity_phasefield_putPorosity(phi,ip,el)
use material, only: &
material_homog, &
porosityMapping, &
porosity
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point number
el !< element number
real(pReal), intent(in) :: &
phi
integer(pInt) :: &
homog, &
offset
homog = material_homog(ip,el)
offset = porosityMapping(homog)%p(ip,el)
porosity(homog)%p(offset) = phi
end subroutine porosity_phasefield_putPorosity
!--------------------------------------------------------------------------------------------------
!> @brief return array of porosity results
!--------------------------------------------------------------------------------------------------
function porosity_phasefield_postResults(ip,el)
use material, only: &
mappingHomogenization, &
porosity_typeInstance, &
porosity
implicit none
integer(pInt), intent(in) :: &
ip, & !< integration point
el !< element
real(pReal), dimension(porosity_phasefield_sizePostResults(porosity_typeInstance(mappingHomogenization(2,ip,el)))) :: &
porosity_phasefield_postResults
integer(pInt) :: &
instance, homog, offset, o, c
homog = mappingHomogenization(2,ip,el)
offset = mappingHomogenization(1,ip,el)
instance = porosity_typeInstance(homog)
c = 0_pInt
porosity_phasefield_postResults = 0.0_pReal
do o = 1_pInt,porosity_phasefield_Noutput(instance)
select case(porosity_phasefield_outputID(o,instance))
case (porosity_ID)
porosity_phasefield_postResults(c+1_pInt) = porosity(homog)%p(offset)
c = c + 1
end select
enddo
end function porosity_phasefield_postResults
end module porosity_phasefield