324 lines
16 KiB
Fortran
324 lines
16 KiB
Fortran
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!--------------------------------------------------------------------------------------------------
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! $Id$
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!--------------------------------------------------------------------------------------------------
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!> @author Luv Sharma, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief material subroutine incorporating kinematics resulting from opening of slip planes
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!> @details to be done
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!--------------------------------------------------------------------------------------------------
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module kinematics_slipplane_opening
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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_slipplane_opening_sizePostResults, & !< cumulative size of post results
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kinematics_slipplane_opening_offset, & !< which kinematics is my current damage mechanism?
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kinematics_slipplane_opening_instance !< instance of damage kinematics mechanism
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integer(pInt), dimension(:,:), allocatable, target, public :: &
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kinematics_slipplane_opening_sizePostResult !< size of each post result output
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character(len=64), dimension(:,:), allocatable, target, public :: &
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kinematics_slipplane_opening_output !< name of each post result output
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integer(pInt), dimension(:), allocatable, target, public :: &
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kinematics_slipplane_opening_Noutput !< number of outputs per instance of this damage
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integer(pInt), dimension(:), allocatable, private :: &
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kinematics_slipplane_opening_totalNslip !< total number of slip systems
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integer(pInt), dimension(:,:), allocatable, private :: &
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kinematics_slipplane_opening_Nslip !< number of slip systems per family
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real(pReal), dimension(:), allocatable, private :: &
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kinematics_slipplane_opening_sdot_0, &
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kinematics_slipplane_opening_N
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real(pReal), dimension(:,:), allocatable, private :: &
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kinematics_slipplane_opening_critPlasticStrain, &
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kinematics_slipplane_opening_critLoad
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public :: &
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kinematics_slipplane_opening_init, &
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kinematics_slipplane_opening_LiAndItsTangent
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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_slipplane_opening_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_slipplane_opening_label, &
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KINEMATICS_slipplane_opening_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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use lattice, only: &
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lattice_maxNslipFamily, &
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lattice_NslipSystem
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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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integer(pInt) :: Nchunks_SlipFamilies = 0_pInt, j
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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_slipplane_opening_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_slipplane_opening_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_slipplane_opening_offset(material_Nphase), source=0_pInt)
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allocate(kinematics_slipplane_opening_instance(material_Nphase), source=0_pInt)
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do phase = 1, material_Nphase
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kinematics_slipplane_opening_instance(phase) = count(phase_kinematics(:,1:phase) == kinematics_slipplane_opening_ID)
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do kinematics = 1, phase_Nkinematics(phase)
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if (phase_kinematics(kinematics,phase) == kinematics_slipplane_opening_ID) &
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kinematics_slipplane_opening_offset(phase) = kinematics
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enddo
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enddo
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allocate(kinematics_slipplane_opening_sizePostResults(maxNinstance), source=0_pInt)
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allocate(kinematics_slipplane_opening_sizePostResult(maxval(phase_Noutput),maxNinstance),source=0_pInt)
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allocate(kinematics_slipplane_opening_output(maxval(phase_Noutput),maxNinstance))
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kinematics_slipplane_opening_output = ''
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allocate(kinematics_slipplane_opening_Noutput(maxNinstance), source=0_pInt)
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allocate(kinematics_slipplane_opening_critLoad(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
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allocate(kinematics_slipplane_opening_critPlasticStrain(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal)
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allocate(kinematics_slipplane_opening_Nslip(lattice_maxNslipFamily,maxNinstance), source=0_pInt)
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allocate(kinematics_slipplane_opening_totalNslip(maxNinstance), source=0_pInt)
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allocate(kinematics_slipplane_opening_N(maxNinstance), source=0.0_pReal)
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allocate(kinematics_slipplane_opening_sdot_0(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_slipplane_opening_ID)) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
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instance = kinematics_slipplane_opening_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 ('nslip') !
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Nchunks_SlipFamilies = chunkPos(1) - 1_pInt
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do j = 1_pInt, Nchunks_SlipFamilies
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kinematics_slipplane_opening_Nslip(j,instance) = IO_intValue(line,chunkPos,1_pInt+j)
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enddo
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case ('anisoductile_sdot0')
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kinematics_slipplane_opening_sdot_0(instance) = IO_floatValue(line,chunkPos,2_pInt)
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case ('anisoductile_criticalplasticstrain')
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do j = 1_pInt, Nchunks_SlipFamilies
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kinematics_slipplane_opening_critPlasticStrain(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j)
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enddo
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case ('anisoductile_ratesensitivity')
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kinematics_slipplane_opening_N(instance) = IO_floatValue(line,chunkPos,2_pInt)
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case ('anisoductile_criticalload')
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do j = 1_pInt, Nchunks_SlipFamilies
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kinematics_slipplane_opening_critLoad(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j)
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enddo
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end select
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endif; endif
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enddo parsingFile
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!--------------------------------------------------------------------------------------------------
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! sanity checks
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sanityChecks: do phase = 1_pInt, material_Nphase
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myPhase: if (any(phase_kinematics(:,phase) == KINEMATICS_slipplane_opening_ID)) then
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instance = kinematics_slipplane_opening_instance(phase)
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kinematics_slipplane_opening_Nslip(1:lattice_maxNslipFamily,instance) = &
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min(lattice_NslipSystem(1:lattice_maxNslipFamily,phase),& ! limit active cleavage systems per family to min of available and requested
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kinematics_slipplane_opening_Nslip(1:lattice_maxNslipFamily,instance))
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kinematics_slipplane_opening_totalNslip(instance) = sum(kinematics_slipplane_opening_Nslip(:,instance))
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if (kinematics_slipplane_opening_sdot_0(instance) <= 0.0_pReal) &
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call IO_error(211_pInt,el=instance,ext_msg='sdot_0 ('//KINEMATICS_slipplane_opening_LABEL//')')
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if (any(kinematics_slipplane_opening_critPlasticStrain(:,instance) < 0.0_pReal)) &
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call IO_error(211_pInt,el=instance,ext_msg='criticaPlasticStrain ('//KINEMATICS_slipplane_opening_LABEL//')')
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if (kinematics_slipplane_opening_N(instance) <= 0.0_pReal) &
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call IO_error(211_pInt,el=instance,ext_msg='rate_sensitivity ('//KINEMATICS_slipplane_opening_LABEL//')')
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endif myPhase
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enddo sanityChecks
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end subroutine kinematics_slipplane_opening_init
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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_slipplane_opening_LiAndItsTangent(Ld, dLd_dTstar3333, Tstar_v, ipc, ip, el)
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use prec, only: &
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tol_math_check
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use lattice, only: &
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lattice_maxNslipFamily, &
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lattice_NslipSystem, &
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lattice_sd, &
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lattice_st, &
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lattice_sn
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use material, only: &
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phaseAt, phasememberAt, &
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material_homog, &
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damage, &
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damageMapping
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use math, only: &
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math_Plain3333to99, &
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math_I3, &
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math_identity4th, &
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math_symmetric33, &
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math_Mandel33to6, &
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math_tensorproduct33, &
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math_det33, &
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math_mul33x33
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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 !< 2nd Piola-Kirchhoff stress
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real(pReal), intent(out), dimension(3,3) :: &
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Ld !< damage velocity gradient
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real(pReal), intent(out), dimension(3,3,3,3) :: &
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dLd_dTstar3333 !< derivative of Ld with respect to Tstar (4th-order tensor)
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real(pReal), dimension(3,3) :: &
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projection_d, projection_t, projection_n !< projection modes 3x3 tensor
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real(pReal), dimension(6) :: &
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projection_d_v, projection_t_v, projection_n_v !< projection modes 3x3 vector
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integer(pInt) :: &
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phase, &
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constituent, &
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instance, &
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homog, damageOffset, &
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f, i, index_myFamily, k, l, m, n
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real(pReal) :: &
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traction_d, traction_t, traction_n, traction_crit, &
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udotd, dudotd_dt, udott, dudott_dt, udotn, dudotn_dt
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phase = phaseAt(ipc,ip,el)
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constituent = phasememberAt(ipc,ip,el)
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instance = kinematics_slipplane_opening_instance(phase)
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homog = material_homog(ip,el)
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damageOffset = damageMapping(homog)%p(ip,el)
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Ld = 0.0_pReal
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dLd_dTstar3333 = 0.0_pReal
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do f = 1_pInt,lattice_maxNslipFamily
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index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,phase)) ! at which index starts my family
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do i = 1_pInt,kinematics_slipplane_opening_Nslip(f,instance) ! process each (active) slip system in family
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projection_d = math_tensorproduct33(lattice_sd(1:3,index_myFamily+i,phase),&
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lattice_sn(1:3,index_myFamily+i,phase))
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projection_t = math_tensorproduct33(lattice_st(1:3,index_myFamily+i,phase),&
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lattice_sn(1:3,index_myFamily+i,phase))
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projection_n = math_tensorproduct33(lattice_sn(1:3,index_myFamily+i,phase),&
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lattice_sn(1:3,index_myFamily+i,phase))
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projection_d_v(1:6) = math_Mandel33to6(math_symmetric33(projection_d(1:3,1:3)))
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projection_t_v(1:6) = math_Mandel33to6(math_symmetric33(projection_t(1:3,1:3)))
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projection_n_v(1:6) = math_Mandel33to6(math_symmetric33(projection_n(1:3,1:3)))
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traction_d = dot_product(Tstar_v,projection_d_v(1:6))
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traction_t = dot_product(Tstar_v,projection_t_v(1:6))
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traction_n = dot_product(Tstar_v,projection_n_v(1:6))
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traction_crit = kinematics_slipplane_opening_critLoad(f,instance)* &
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damage(homog)%p(damageOffset) ! degrading critical load carrying capacity by damage
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udotd = &
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sign(1.0_pReal,traction_d)* &
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kinematics_slipplane_opening_sdot_0(instance)* &
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(abs(traction_d)/traction_crit - &
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abs(traction_d)/kinematics_slipplane_opening_critLoad(f,instance))**kinematics_slipplane_opening_N(instance)
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if (abs(udotd) > tol_math_check) then
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Ld = Ld + udotd*projection_d
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dudotd_dt = udotd*kinematics_slipplane_opening_N(instance)/traction_d
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLd_dTstar3333(k,l,m,n) = dLd_dTstar3333(k,l,m,n) + &
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dudotd_dt*projection_d(k,l)*projection_d(m,n)
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endif
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udott = &
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sign(1.0_pReal,traction_t)* &
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kinematics_slipplane_opening_sdot_0(instance)* &
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(abs(traction_t)/traction_crit - &
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abs(traction_t)/kinematics_slipplane_opening_critLoad(f,instance))**kinematics_slipplane_opening_N(instance)
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if (abs(udott) > tol_math_check) then
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Ld = Ld + udott*projection_t
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dudott_dt = udott*kinematics_slipplane_opening_N(instance)/traction_t
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLd_dTstar3333(k,l,m,n) = dLd_dTstar3333(k,l,m,n) + &
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dudott_dt*projection_t(k,l)*projection_t(m,n)
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endif
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udotn = &
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kinematics_slipplane_opening_sdot_0(instance)* &
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(max(0.0_pReal,traction_n)/traction_crit - &
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max(0.0_pReal,traction_n)/kinematics_slipplane_opening_critLoad(f,instance))**kinematics_slipplane_opening_N(instance)
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if (abs(udotn) > tol_math_check) then
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Ld = Ld + udotn*projection_n
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dudotn_dt = udotn*kinematics_slipplane_opening_N(instance)/traction_n
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLd_dTstar3333(k,l,m,n) = dLd_dTstar3333(k,l,m,n) + &
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dudotn_dt*projection_n(k,l)*projection_n(m,n)
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endif
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enddo
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enddo
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end subroutine kinematics_slipplane_opening_LiAndItsTangent
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end module kinematics_slipplane_opening
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