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@ -53,7 +53,7 @@ module plastic_isotropic
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dilatation = .false.
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end type
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type(tParameters), dimension(:), allocatable, private :: param !< containers of constitutive parameters (len Ninstance)
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type(tParameters), dimension(:), allocatable, target, private :: param !< containers of constitutive parameters (len Ninstance)
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type, private :: tIsotropicState !< internal state aliases
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real(pReal), pointer, dimension(:) :: & ! scalars along NipcMyInstance
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@ -61,20 +61,10 @@ module plastic_isotropic
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accumulatedShear
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end type
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type, private :: tIsotropicAbsTol !< internal alias for abs tolerance in state
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real(pReal), pointer :: & ! scalars
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flowstress, &
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accumulatedShear
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end type
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type(tIsotropicState), allocatable, dimension(:), private :: & !< state aliases per instance
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state, &
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state0, &
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dotState
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type(tIsotropicAbsTol), allocatable, dimension(:), private :: & !< state aliases per instance
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stateAbsTol
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public :: &
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plastic_isotropic_init, &
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plastic_isotropic_LpAndItsTangent, &
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@ -130,6 +120,7 @@ subroutine plastic_isotropic_init(fileUnit)
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implicit none
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integer(pInt), intent(in) :: fileUnit
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type(tParameters), pointer :: p
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integer(pInt), allocatable, dimension(:) :: chunkPos
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integer(pInt) :: &
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@ -150,8 +141,6 @@ subroutine plastic_isotropic_init(fileUnit)
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integer(pInt) :: NipcMyPhase
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write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_ISOTROPIC_label//' init -+>>>'
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write(6,'(/,a)') ' Ma et al., Computational Materials Science, 109:323–329, 2015'
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write(6,'(/,a)') ' https://doi.org/10.1016/j.commatsci.2015.07.041'
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write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
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#include "compilation_info.f90"
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@ -184,14 +173,11 @@ subroutine plastic_isotropic_init(fileUnit)
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endif
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if (IO_getTag(line,'[',']') /= '') then ! next section
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phase = phase + 1_pInt ! advance section counter
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if (phase_plasticity(phase) == PLASTICITY_ISOTROPIC_ID) then
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instance = phase_plasticityInstance(phase) ! count instances of my constitutive law
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allocate(param(instance)%outputID(phase_Noutput(phase))) ! allocate space for IDs of every requested output
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endif
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cycle ! skip to next line
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endif
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if (phase > 0_pInt) then; if (phase_plasticity(phase) == PLASTICITY_ISOTROPIC_ID) then ! one of my phases. Do not short-circuit here (.and. between if-statements), it's not safe in Fortran
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instance = phase_plasticityInstance(phase) ! which instance of my plasticity is present phase
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p => param(instance) ! shorthand pointer to parameter object of my constitutive law
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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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@ -201,58 +187,58 @@ subroutine plastic_isotropic_init(fileUnit)
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select case(outputtag)
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case ('flowstress')
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plastic_isotropic_Noutput(instance) = plastic_isotropic_Noutput(instance) + 1_pInt
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param(instance)%outputID (plastic_isotropic_Noutput(instance)) = flowstress_ID
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plastic_isotropic_output(plastic_isotropic_Noutput(instance),instance) = outputtag
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p%outputID = [p%outputID,flowstress_ID]
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case ('strainrate')
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plastic_isotropic_Noutput(instance) = plastic_isotropic_Noutput(instance) + 1_pInt
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param(instance)%outputID (plastic_isotropic_Noutput(instance)) = strainrate_ID
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plastic_isotropic_output(plastic_isotropic_Noutput(instance),instance) = outputtag
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p%outputID = [p%outputID,strainrate_ID]
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end select
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case ('/dilatation/')
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param(instance)%dilatation = .true.
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p%dilatation = .true.
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case ('tau0')
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param(instance)%tau0 = IO_floatValue(line,chunkPos,2_pInt)
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p%tau0 = IO_floatValue(line,chunkPos,2_pInt)
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case ('gdot0')
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param(instance)%gdot0 = IO_floatValue(line,chunkPos,2_pInt)
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p%gdot0 = IO_floatValue(line,chunkPos,2_pInt)
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case ('n')
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param(instance)%n = IO_floatValue(line,chunkPos,2_pInt)
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p%n = IO_floatValue(line,chunkPos,2_pInt)
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case ('h0')
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param(instance)%h0 = IO_floatValue(line,chunkPos,2_pInt)
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p%h0 = IO_floatValue(line,chunkPos,2_pInt)
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case ('h0_slope','slopelnrate')
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param(instance)%h0_slopeLnRate = IO_floatValue(line,chunkPos,2_pInt)
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p%h0_slopeLnRate = IO_floatValue(line,chunkPos,2_pInt)
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case ('tausat')
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param(instance)%tausat = IO_floatValue(line,chunkPos,2_pInt)
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p%tausat = IO_floatValue(line,chunkPos,2_pInt)
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case ('tausat_sinhfita')
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param(instance)%tausat_SinhFitA = IO_floatValue(line,chunkPos,2_pInt)
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p%tausat_SinhFitA = IO_floatValue(line,chunkPos,2_pInt)
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case ('tausat_sinhfitb')
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param(instance)%tausat_SinhFitB = IO_floatValue(line,chunkPos,2_pInt)
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p%tausat_SinhFitB = IO_floatValue(line,chunkPos,2_pInt)
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case ('tausat_sinhfitc')
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param(instance)%tausat_SinhFitC = IO_floatValue(line,chunkPos,2_pInt)
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p%tausat_SinhFitC = IO_floatValue(line,chunkPos,2_pInt)
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case ('tausat_sinhfitd')
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param(instance)%tausat_SinhFitD = IO_floatValue(line,chunkPos,2_pInt)
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p%tausat_SinhFitD = IO_floatValue(line,chunkPos,2_pInt)
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case ('a', 'w0')
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param(instance)%a = IO_floatValue(line,chunkPos,2_pInt)
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p%a = IO_floatValue(line,chunkPos,2_pInt)
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case ('taylorfactor')
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param(instance)%fTaylor = IO_floatValue(line,chunkPos,2_pInt)
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p%fTaylor = IO_floatValue(line,chunkPos,2_pInt)
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case ('atol_flowstress')
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param(instance)%aTolFlowstress = IO_floatValue(line,chunkPos,2_pInt)
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p%aTolFlowstress = IO_floatValue(line,chunkPos,2_pInt)
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case ('atol_shear')
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param(instance)%aTolShear = IO_floatValue(line,chunkPos,2_pInt)
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p%aTolShear = IO_floatValue(line,chunkPos,2_pInt)
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case default
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@ -261,25 +247,24 @@ subroutine plastic_isotropic_init(fileUnit)
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enddo parsingFile
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allocate(state(maxNinstance)) ! internal state aliases
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allocate(state0(maxNinstance))
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allocate(dotState(maxNinstance))
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allocate(stateAbsTol(maxNinstance))
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initializeInstances: do phase = 1_pInt, size(phase_plasticity) ! loop over every plasticity
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myPhase: if (phase_plasticity(phase) == PLASTICITY_isotropic_ID) then ! isolate instances of own constitutive description
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NipcMyPhase = count(material_phase == phase) ! number of own material points (including point components ipc)
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instance = phase_plasticityInstance(phase)
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p => param(instance)
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extmsg = ''
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!--------------------------------------------------------------------------------------------------
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! sanity checks
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if (param(instance)%aTolShear <= 0.0_pReal) param(instance)%aTolShear = 1.0e-6_pReal ! default absolute tolerance 1e-6
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if (param(instance)%tau0 < 0.0_pReal) extmsg = trim(extmsg)//' tau0'
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if (param(instance)%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0'
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if (param(instance)%n <= 0.0_pReal) extmsg = trim(extmsg)//' n'
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if (param(instance)%tausat <= 0.0_pReal) extmsg = trim(extmsg)//' tausat'
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if (param(instance)%a <= 0.0_pReal) extmsg = trim(extmsg)//' a'
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if (param(instance)%fTaylor <= 0.0_pReal) extmsg = trim(extmsg)//' taylorfactor'
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if (param(instance)%aTolFlowstress <= 0.0_pReal) extmsg = trim(extmsg)//' atol_flowstress'
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if (p%aTolShear <= 0.0_pReal) p%aTolShear = 1.0e-6_pReal ! default absolute tolerance 1e-6
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if (p%tau0 < 0.0_pReal) extmsg = trim(extmsg)//' tau0'
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if (p%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0'
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if (p%n <= 0.0_pReal) extmsg = trim(extmsg)//' n'
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if (p%tausat <= 0.0_pReal) extmsg = trim(extmsg)//' tausat'
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if (p%a <= 0.0_pReal) extmsg = trim(extmsg)//' a'
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if (p%fTaylor <= 0.0_pReal) extmsg = trim(extmsg)//' taylorfactor'
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if (p%aTolFlowstress <= 0.0_pReal) extmsg = trim(extmsg)//' atol_flowstress'
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if (extmsg /= '') then
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extmsg = trim(extmsg)//' ('//PLASTICITY_ISOTROPIC_label//')' ! prepare error message identifier
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call IO_error(211_pInt,ip=instance,ext_msg=extmsg)
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@ -287,7 +272,7 @@ subroutine plastic_isotropic_init(fileUnit)
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!--------------------------------------------------------------------------------------------------
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! Determine size of postResults array
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outputsLoop: do o = 1_pInt,plastic_isotropic_Noutput(instance)
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select case(param(instance)%outputID(o))
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select case(p%outputID(o))
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case(flowstress_ID,strainrate_ID)
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mySize = 1_pInt
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case default
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@ -302,7 +287,7 @@ subroutine plastic_isotropic_init(fileUnit)
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!--------------------------------------------------------------------------------------------------
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! allocate state arrays
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sizeDotState = 2_pInt ! flowstress, accumulated_shear
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sizeDotState = size(["flowstress ","accumulated_shear"])
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sizeDeltaState = 0_pInt ! no sudden jumps in state
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sizeState = sizeDotState + sizeDeltaState
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plasticState(phase)%sizeState = sizeState
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@ -331,31 +316,20 @@ subroutine plastic_isotropic_init(fileUnit)
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allocate(plasticState(phase)%RKCK45dotState (6,sizeDotState,NipcMyPhase),source=0.0_pReal)
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!--------------------------------------------------------------------------------------------------
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! globally required state aliases
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plasticState(phase)%slipRate => plasticState(phase)%dotState(2:2,1:NipcMyPhase)
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plasticState(phase)%accumulatedSlip => plasticState(phase)%state (2:2,1:NipcMyPhase)
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! locally defined state aliases and initialization of state0 and aTolState
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!--------------------------------------------------------------------------------------------------
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! locally defined state aliases
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state(instance)%flowstress => plasticState(phase)%state (1,1:NipcMyPhase)
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state0(instance)%flowstress => plasticState(phase)%state0 (1,1:NipcMyPhase)
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dotState(instance)%flowstress => plasticState(phase)%dotState (1,1:NipcMyPhase)
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stateAbsTol(instance)%flowstress => plasticState(phase)%aTolState(1)
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plasticState(phase)%state0(1,1:NipcMyPhase) = p%tau0
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plasticState(phase)%aTolState(1) = p%aTolFlowstress
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state(instance)%accumulatedShear => plasticState(phase)%state (2,1:NipcMyPhase)
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state0(instance)%accumulatedShear => plasticState(phase)%state0 (2,1:NipcMyPhase)
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dotState(instance)%accumulatedShear => plasticState(phase)%dotState (2,1:NipcMyPhase)
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stateAbsTol(instance)%accumulatedShear => plasticState(phase)%aTolState(2)
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!--------------------------------------------------------------------------------------------------
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! init state
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state0(instance)%flowstress = param(instance)%tau0
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state0(instance)%accumulatedShear = 0.0_pReal
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!--------------------------------------------------------------------------------------------------
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! init absolute state tolerances
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stateAbsTol(instance)%flowstress = param(instance)%aTolFlowstress
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stateAbsTol(instance)%accumulatedShear = param(instance)%aTolShear
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plasticState(phase)%state0 (2,1:NipcMyPhase) = 0.0_pReal
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plasticState(phase)%aTolState(2) = p%aTolShear
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! global alias
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plasticState(phase)%slipRate => plasticState(phase)%dotState(2:2,1:NipcMyPhase)
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plasticState(phase)%accumulatedSlip => plasticState(phase)%state (2:2,1:NipcMyPhase)
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endif myPhase
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enddo initializeInstances
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@ -400,6 +374,8 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el)
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ip, & !< integration point
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el !< element
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type(tParameters), pointer :: p
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real(pReal), dimension(3,3) :: &
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Tstar_dev_33 !< deviatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor
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real(pReal), dimension(3,3,3,3) :: &
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@ -414,7 +390,8 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el)
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of = phasememberAt(ipc,ip,el) ! phasememberAt should be tackled by material and be renamed to material_phasemember
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instance = phase_plasticityInstance(material_phase(ipc,ip,el))
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p => param(instance)
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Tstar_dev_33 = math_deviatoric33(math_Mandel6to33(Tstar_v)) ! deviatoric part of 2nd Piola-Kirchhoff stress
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squarenorm_Tstar_dev = math_mul33xx33(Tstar_dev_33,Tstar_dev_33)
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norm_Tstar_dev = sqrt(squarenorm_Tstar_dev)
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@ -423,11 +400,11 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el)
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Lp = 0.0_pReal
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dLp_dTstar99 = 0.0_pReal
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else
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gamma_dot = param(instance)%gdot0 &
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* ( sqrt(1.5_pReal) * norm_Tstar_dev / param(instance)%fTaylor / state(instance)%flowstress(of) ) &
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**param(instance)%n
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gamma_dot = p%gdot0 &
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* ( sqrt(1.5_pReal) * norm_Tstar_dev / p%fTaylor / state(instance)%flowstress(of) ) &
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**p%n
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Lp = Tstar_dev_33/norm_Tstar_dev * gamma_dot/param(instance)%fTaylor
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Lp = Tstar_dev_33/norm_Tstar_dev * gamma_dot/p%fTaylor
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if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0_pInt &
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.and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) &
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@ -441,13 +418,13 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el)
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!--------------------------------------------------------------------------------------------------
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! Calculation of the tangent of Lp
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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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dLp_dTstar_3333(k,l,m,n) = (param(instance)%n-1.0_pReal) * &
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dLp_dTstar_3333(k,l,m,n) = (p%n-1.0_pReal) * &
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Tstar_dev_33(k,l)*Tstar_dev_33(m,n) / squarenorm_Tstar_dev
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) &
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dLp_dTstar_3333(k,l,k,l) = dLp_dTstar_3333(k,l,k,l) + 1.0_pReal
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forall (k=1_pInt:3_pInt,m=1_pInt:3_pInt) &
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dLp_dTstar_3333(k,k,m,m) = dLp_dTstar_3333(k,k,m,m) - 1.0_pReal/3.0_pReal
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dLp_dTstar99 = math_Plain3333to99(gamma_dot / param(instance)%fTaylor * &
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dLp_dTstar99 = math_Plain3333to99(gamma_dot / p%fTaylor * &
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dLp_dTstar_3333 / norm_Tstar_dev)
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end if
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end subroutine plastic_isotropic_LpAndItsTangent
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@ -479,9 +456,11 @@ subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar_3333,Tstar_v,ipc,ip,e
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ip, & !< integration point
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el !< element
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type(tParameters), pointer :: p
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real(pReal), dimension(3,3) :: &
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Tstar_sph_33 !< sphiatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor
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real(pReal) :: &
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real(pReal) :: &
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gamma_dot, & !< strainrate
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norm_Tstar_sph, & !< euclidean norm of Tstar_sph
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squarenorm_Tstar_sph !< square of the euclidean norm of Tstar_sph
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@ -491,34 +470,34 @@ real(pReal) :: &
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of = phasememberAt(ipc,ip,el) ! phasememberAt should be tackled by material and be renamed to material_phasemember
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instance = phase_plasticityInstance(material_phase(ipc,ip,el))
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p => param(instance)
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Tstar_sph_33 = math_spherical33(math_Mandel6to33(Tstar_v)) ! spherical part of 2nd Piola-Kirchhoff stress
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squarenorm_Tstar_sph = math_mul33xx33(Tstar_sph_33,Tstar_sph_33)
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norm_Tstar_sph = sqrt(squarenorm_Tstar_sph)
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if (param(instance)%dilatation .and. norm_Tstar_sph > 0.0_pReal) then ! Tstar == 0 or J2 plascitiy --> both Li and dLi_dTstar are zero
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gamma_dot = param(instance)%gdot0 &
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* (sqrt(1.5_pReal) * norm_Tstar_sph / param(instance)%fTaylor / state(instance)%flowstress(of) ) &
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**param(instance)%n
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if (p%dilatation .and. norm_Tstar_sph > 0.0_pReal) then ! Tstar == 0 or J2 plascitiy --> both Li and dLi_dTstar are zero
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gamma_dot = p%gdot0 &
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* (sqrt(1.5_pReal) * norm_Tstar_sph / p%fTaylor / state(instance)%flowstress(of) ) &
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**p%n
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Li = Tstar_sph_33/norm_Tstar_sph * gamma_dot/param(instance)%fTaylor
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Li = Tstar_sph_33/norm_Tstar_sph * gamma_dot/p%fTaylor
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!--------------------------------------------------------------------------------------------------
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! Calculation of the tangent of Li
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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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dLi_dTstar_3333(k,l,m,n) = (param(instance)%n-1.0_pReal) * &
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dLi_dTstar_3333(k,l,m,n) = (p%n-1.0_pReal) * &
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Tstar_sph_33(k,l)*Tstar_sph_33(m,n) / squarenorm_Tstar_sph
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) &
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dLi_dTstar_3333(k,l,k,l) = dLi_dTstar_3333(k,l,k,l) + 1.0_pReal
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dLi_dTstar_3333 = gamma_dot / param(instance)%fTaylor * &
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dLi_dTstar_3333 = gamma_dot / p%fTaylor * &
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dLi_dTstar_3333 / norm_Tstar_sph
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else
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Li = 0.0_pReal
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dLi_dTstar_3333 = 0.0_pReal
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endif
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end subroutine plastic_isotropic_LiAndItsTangent
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end subroutine plastic_isotropic_LiAndItsTangent
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!--------------------------------------------------------------------------------------------------
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@ -541,6 +520,7 @@ subroutine plastic_isotropic_dotState(Tstar_v,ipc,ip,el)
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ipc, & !< component-ID of integration point
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ip, & !< integration point
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el !< element
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type(tParameters), pointer :: p
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real(pReal), dimension(6) :: &
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Tstar_dev_v !< deviatoric 2nd Piola Kirchhoff stress tensor in Mandel notation
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real(pReal) :: &
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@ -554,10 +534,11 @@ subroutine plastic_isotropic_dotState(Tstar_v,ipc,ip,el)
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of = phasememberAt(ipc,ip,el) ! phasememberAt should be tackled by material and be renamed to material_phasemember
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instance = phase_plasticityInstance(material_phase(ipc,ip,el))
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p => param(instance)
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!--------------------------------------------------------------------------------------------------
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! norm of (deviatoric) 2nd Piola-Kirchhoff stress
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if (param(instance)%dilatation) then
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if (p%dilatation) then
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norm_Tstar_v = sqrt(math_mul6x6(Tstar_v,Tstar_v))
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else
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Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal
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@ -566,26 +547,26 @@ subroutine plastic_isotropic_dotState(Tstar_v,ipc,ip,el)
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end if
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!--------------------------------------------------------------------------------------------------
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! strain rate
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gamma_dot = param(instance)%gdot0 * ( sqrt(1.5_pReal) * norm_Tstar_v &
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gamma_dot = p%gdot0 * ( sqrt(1.5_pReal) * norm_Tstar_v &
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/ &!-----------------------------------------------------------------------------------
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(param(instance)%fTaylor*state(instance)%flowstress(of) ))**param(instance)%n
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(p%fTaylor*state(instance)%flowstress(of) ))**p%n
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!--------------------------------------------------------------------------------------------------
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! hardening coefficient
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if (abs(gamma_dot) > 1e-12_pReal) then
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if (dEq0(param(instance)%tausat_SinhFitA)) then
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saturation = param(instance)%tausat
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if (dEq0(p%tausat_SinhFitA)) then
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saturation = p%tausat
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else
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saturation = param(instance)%tausat &
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+ asinh( (gamma_dot / param(instance)%tausat_SinhFitA&
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)**(1.0_pReal / param(instance)%tausat_SinhFitD)&
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)**(1.0_pReal / param(instance)%tausat_SinhFitC) &
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/ ( param(instance)%tausat_SinhFitB &
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* (gamma_dot / param(instance)%gdot0)**(1.0_pReal / param(instance)%n) &
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saturation = p%tausat &
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+ asinh( (gamma_dot / p%tausat_SinhFitA&
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)**(1.0_pReal / p%tausat_SinhFitD)&
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)**(1.0_pReal / p%tausat_SinhFitC) &
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/ ( p%tausat_SinhFitB &
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* (gamma_dot / p%gdot0)**(1.0_pReal / p%n) &
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)
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endif
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hardening = ( param(instance)%h0 + param(instance)%h0_slopeLnRate * log(gamma_dot) ) &
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* abs( 1.0_pReal - state(instance)%flowstress(of)/saturation )**param(instance)%a &
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hardening = ( p%h0 + p%h0_slopeLnRate * log(gamma_dot) ) &
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* abs( 1.0_pReal - state(instance)%flowstress(of)/saturation )**p%a &
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* sign(1.0_pReal, 1.0_pReal - state(instance)%flowstress(of)/saturation)
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else
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hardening = 0.0_pReal
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@ -614,6 +595,9 @@ function plastic_isotropic_postResults(Tstar_v,ipc,ip,el)
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ipc, & !< component-ID of integration point
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ip, & !< integration point
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el !< element
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type(tParameters), pointer :: p
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real(pReal), dimension(plastic_isotropic_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
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plastic_isotropic_postResults
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@ -629,10 +613,11 @@ function plastic_isotropic_postResults(Tstar_v,ipc,ip,el)
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of = phasememberAt(ipc,ip,el) ! phasememberAt should be tackled by material and be renamed to material_phasemember
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instance = phase_plasticityInstance(material_phase(ipc,ip,el))
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p => param(instance)
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!--------------------------------------------------------------------------------------------------
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! norm of (deviatoric) 2nd Piola-Kirchhoff stress
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if (param(instance)%dilatation) then
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if (p%dilatation) then
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norm_Tstar_v = sqrt(math_mul6x6(Tstar_v,Tstar_v))
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else
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Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal
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@ -644,15 +629,15 @@ function plastic_isotropic_postResults(Tstar_v,ipc,ip,el)
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plastic_isotropic_postResults = 0.0_pReal
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outputsLoop: do o = 1_pInt,plastic_isotropic_Noutput(instance)
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select case(param(instance)%outputID(o))
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select case(p%outputID(o))
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case (flowstress_ID)
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plastic_isotropic_postResults(c+1_pInt) = state(instance)%flowstress(of)
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c = c + 1_pInt
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case (strainrate_ID)
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plastic_isotropic_postResults(c+1_pInt) = &
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param(instance)%gdot0 * ( sqrt(1.5_pReal) * norm_Tstar_v &
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p%gdot0 * ( sqrt(1.5_pReal) * norm_Tstar_v &
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/ &!----------------------------------------------------------------------------------
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(param(instance)%fTaylor * state(instance)%flowstress(of)) ) ** param(instance)%n
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(p%fTaylor * state(instance)%flowstress(of)) ) ** p%n
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c = c + 1_pInt
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end select
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enddo outputsLoop
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