264 lines
12 KiB
Fortran
264 lines
12 KiB
Fortran
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!--------------------------------------------------------------------------------------------------
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!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief material subroutine incorporating kinematics resulting from vacancy point defects
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!> @details to be done
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!--------------------------------------------------------------------------------------------------
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module kinematics_vacancy_strain
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use prec, only: &
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pReal, &
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pInt
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implicit none
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private
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integer(pInt), dimension(:), allocatable, public, protected :: &
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kinematics_vacancy_strain_sizePostResults, & !< cumulative size of post results
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kinematics_vacancy_strain_offset, & !< which kinematics is my current damage mechanism?
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kinematics_vacancy_strain_instance !< instance of damage kinematics mechanism
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integer(pInt), dimension(:,:), allocatable, target, public :: &
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kinematics_vacancy_strain_sizePostResult !< size of each post result output
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character(len=64), dimension(:,:), allocatable, target, public :: &
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kinematics_vacancy_strain_output !< name of each post result output
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integer(pInt), dimension(:), allocatable, target, public :: &
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kinematics_vacancy_strain_Noutput !< number of outputs per instance of this damage
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real(pReal), dimension(:), allocatable, private :: &
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kinematics_vacancy_strain_coeff
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public :: &
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kinematics_vacancy_strain_init, &
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kinematics_vacancy_strain_initialStrain, &
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kinematics_vacancy_strain_LiAndItsTangent, &
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kinematics_vacancy_strain_ChemPotAndItsTangent
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief module initialization
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!> @details reads in material parameters, allocates arrays, and does sanity checks
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!--------------------------------------------------------------------------------------------------
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subroutine kinematics_vacancy_strain_init(fileUnit)
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use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
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use debug, only: &
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debug_level,&
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debug_constitutive,&
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debug_levelBasic
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use IO, only: &
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IO_read, &
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IO_lc, &
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IO_getTag, &
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IO_isBlank, &
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IO_stringPos, &
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IO_stringValue, &
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IO_floatValue, &
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IO_intValue, &
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IO_warning, &
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IO_error, &
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IO_timeStamp, &
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IO_EOF
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use material, only: &
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phase_kinematics, &
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phase_Nkinematics, &
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phase_Noutput, &
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KINEMATICS_vacancy_strain_label, &
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KINEMATICS_vacancy_strain_ID, &
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material_Nphase, &
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MATERIAL_partPhase
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use numerics,only: &
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worldrank
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implicit none
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integer(pInt), intent(in) :: fileUnit
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integer(pInt), allocatable, dimension(:) :: chunkPos
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integer(pInt) :: maxNinstance,phase,instance,kinematics
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character(len=65536) :: &
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tag = '', &
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line = ''
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mainProcess: if (worldrank == 0) then
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write(6,'(/,a)') ' <<<+- kinematics_'//KINEMATICS_vacancy_strain_LABEL//' init -+>>>'
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write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
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#include "compilation_info.f90"
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endif mainProcess
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maxNinstance = int(count(phase_kinematics == KINEMATICS_vacancy_strain_ID),pInt)
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if (maxNinstance == 0_pInt) return
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if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) &
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write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
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allocate(kinematics_vacancy_strain_offset(material_Nphase), source=0_pInt)
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allocate(kinematics_vacancy_strain_instance(material_Nphase), source=0_pInt)
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do phase = 1, material_Nphase
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kinematics_vacancy_strain_instance(phase) = count(phase_kinematics(:,1:phase) == kinematics_vacancy_strain_ID)
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do kinematics = 1, phase_Nkinematics(phase)
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if (phase_kinematics(kinematics,phase) == kinematics_vacancy_strain_ID) &
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kinematics_vacancy_strain_offset(phase) = kinematics
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enddo
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enddo
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allocate(kinematics_vacancy_strain_sizePostResults(maxNinstance), source=0_pInt)
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allocate(kinematics_vacancy_strain_sizePostResult(maxval(phase_Noutput),maxNinstance),source=0_pInt)
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allocate(kinematics_vacancy_strain_output(maxval(phase_Noutput),maxNinstance))
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kinematics_vacancy_strain_output = ''
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allocate(kinematics_vacancy_strain_Noutput(maxNinstance), source=0_pInt)
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allocate(kinematics_vacancy_strain_coeff(maxNinstance), source=0.0_pReal)
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rewind(fileUnit)
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phase = 0_pInt
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do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= MATERIAL_partPhase) ! wind forward to <phase>
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line = IO_read(fileUnit)
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enddo
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parsingFile: do while (trim(line) /= IO_EOF) ! read through sections of phase part
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line = IO_read(fileUnit)
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if (IO_isBlank(line)) cycle ! skip empty lines
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if (IO_getTag(line,'<','>') /= '') then ! stop at next part
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line = IO_read(fileUnit, .true.) ! reset IO_read
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exit
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endif
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if (IO_getTag(line,'[',']') /= '') then ! next phase section
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phase = phase + 1_pInt ! advance phase section counter
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cycle ! skip to next line
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endif
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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
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instance = kinematics_vacancy_strain_instance(phase) ! which instance of my damage is present phase
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chunkPos = IO_stringPos(line)
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tag = IO_lc(IO_stringValue(line,chunkPos,1_pInt)) ! extract key
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select case(tag)
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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
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endif; endif
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enddo parsingFile
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end subroutine kinematics_vacancy_strain_init
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!--------------------------------------------------------------------------------------------------
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!> @brief report initial vacancy strain based on current vacancy conc deviation from equillibrium
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!--------------------------------------------------------------------------------------------------
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pure function kinematics_vacancy_strain_initialStrain(ipc, ip, el)
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use math, only: &
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math_I3
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use material, only: &
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material_phase, &
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material_homog, &
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vacancyConc, &
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vacancyfluxMapping
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use lattice, only: &
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lattice_equilibriumVacancyConcentration
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implicit none
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integer(pInt), intent(in) :: &
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ipc, & !< grain number
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ip, & !< integration point number
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el !< element number
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real(pReal), dimension(3,3) :: &
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kinematics_vacancy_strain_initialStrain !< initial thermal strain (should be small strain, though)
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integer(pInt) :: &
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phase, &
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homog, offset, instance
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phase = material_phase(ipc,ip,el)
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instance = kinematics_vacancy_strain_instance(phase)
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homog = material_homog(ip,el)
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offset = vacancyfluxMapping(homog)%p(ip,el)
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kinematics_vacancy_strain_initialStrain = &
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(vacancyConc(homog)%p(offset) - lattice_equilibriumVacancyConcentration(phase)) * &
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kinematics_vacancy_strain_coeff(instance)* math_I3
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end function kinematics_vacancy_strain_initialStrain
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!--------------------------------------------------------------------------------------------------
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!> @brief contains the constitutive equation for calculating the velocity gradient
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!--------------------------------------------------------------------------------------------------
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subroutine kinematics_vacancy_strain_LiAndItsTangent(Li, dLi_dTstar3333, ipc, ip, el)
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use material, only: &
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material_phase, &
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material_homog, &
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vacancyConc, &
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vacancyConcRate, &
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vacancyfluxMapping
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use math, only: &
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math_I3
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use lattice, only: &
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lattice_equilibriumVacancyConcentration
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implicit none
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integer(pInt), intent(in) :: &
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ipc, & !< grain number
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ip, & !< integration point number
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el !< element number
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real(pReal), intent(out), dimension(3,3) :: &
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Li !< thermal velocity gradient
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real(pReal), intent(out), dimension(3,3,3,3) :: &
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dLi_dTstar3333 !< derivative of Li with respect to Tstar (4th-order tensor)
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integer(pInt) :: &
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phase, &
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instance, &
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homog, offset
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real(pReal) :: &
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Cv, CvEq, CvDot
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phase = material_phase(ipc,ip,el)
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instance = kinematics_vacancy_strain_instance(phase)
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homog = material_homog(ip,el)
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offset = vacancyfluxMapping(homog)%p(ip,el)
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Cv = vacancyConc(homog)%p(offset)
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CvDot = vacancyConcRate(homog)%p(offset)
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CvEq = lattice_equilibriumvacancyConcentration(phase)
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Li = CvDot*math_I3* &
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kinematics_vacancy_strain_coeff(instance)/ &
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(1.0_pReal + kinematics_vacancy_strain_coeff(instance)*(Cv - CvEq))
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dLi_dTstar3333 = 0.0_pReal
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end subroutine kinematics_vacancy_strain_LiAndItsTangent
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!--------------------------------------------------------------------------------------------------
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!> @brief contains the kinematic contribution to vacancy chemical potential
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!--------------------------------------------------------------------------------------------------
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subroutine kinematics_vacancy_strain_ChemPotAndItsTangent(ChemPot, dChemPot_dCv, Tstar_v, Fi0, Fi, ipc, ip, el)
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use material, only: &
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material_phase
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use math, only: &
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math_inv33, &
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math_mul33x33, &
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math_Mandel6to33, &
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math_transpose33
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implicit none
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integer(pInt), intent(in) :: &
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ipc, & !< grain number
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ip, & !< integration point number
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el !< element number
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real(pReal), intent(in), dimension(6) :: &
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Tstar_v
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real(pReal), intent(in), dimension(3,3) :: &
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Fi0, Fi
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real(pReal), intent(out) :: &
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ChemPot, dChemPot_dCv
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integer(pInt) :: &
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phase, &
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instance
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phase = material_phase(ipc,ip,el)
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instance = kinematics_vacancy_strain_instance(phase)
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ChemPot = -kinematics_vacancy_strain_coeff(instance)* &
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sum(math_mul33x33(Fi,math_Mandel6to33(Tstar_v))* &
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math_mul33x33(math_mul33x33(Fi,math_inv33(Fi0)),Fi))
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dChemPot_dCv = 0.0_pReal
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end subroutine kinematics_vacancy_strain_ChemPotAndItsTangent
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end module kinematics_vacancy_strain
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