consistent indentation
This commit is contained in:
Martin Diehl
parent
464375a54e
commit
3700bacccc
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@ -8,53 +8,53 @@
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!! untextured polycrystal
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!--------------------------------------------------------------------------------------------------
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module plastic_isotropic
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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, dimension(:,:), allocatable, target, public :: &
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plastic_isotropic_sizePostResult !< size of each post result output
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character(len=64), dimension(:,:), allocatable, target, public :: &
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plastic_isotropic_output !< name of each post result output
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enum, bind(c)
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enumerator :: &
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undefined_ID, &
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flowstress_ID, &
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strainrate_ID
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end enum
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type, private :: tParameters
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real(pReal) :: &
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fTaylor, & !< Taylor factor
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tau0, & !< initial critical stress
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gdot0, & !< reference strain rate
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n, & !< stress exponent
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h0, &
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h0_slopeLnRate, &
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tausat, & !< maximum critical stress
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a, &
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tausat_SinhFitA, &
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tausat_SinhFitB, &
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tausat_SinhFitC, &
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tausat_SinhFitD, &
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aTolFlowstress, &
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aTolShear
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integer :: &
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of_debug = 0
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integer(kind(undefined_ID)), allocatable, dimension(:) :: &
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outputID
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logical :: &
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dilatation
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end type tParameters
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type, private :: tIsotropicState
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real(pReal), pointer, dimension(:) :: &
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flowstress, &
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accumulatedShear
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end type tIsotropicState
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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, dimension(:,:), allocatable, target, public :: &
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plastic_isotropic_sizePostResult !< size of each post result output
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character(len=64), dimension(:,:), allocatable, target, public :: &
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plastic_isotropic_output !< name of each post result output
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enum, bind(c)
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enumerator :: &
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undefined_ID, &
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flowstress_ID, &
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strainrate_ID
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end enum
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type, private :: tParameters
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real(pReal) :: &
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fTaylor, & !< Taylor factor
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tau0, & !< initial critical stress
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gdot0, & !< reference strain rate
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n, & !< stress exponent
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h0, &
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h0_slopeLnRate, &
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tausat, & !< maximum critical stress
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a, &
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tausat_SinhFitA, &
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tausat_SinhFitB, &
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tausat_SinhFitC, &
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tausat_SinhFitD, &
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aTolFlowstress, &
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aTolShear
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integer :: &
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of_debug = 0
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integer(kind(undefined_ID)), allocatable, dimension(:) :: &
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outputID
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logical :: &
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dilatation
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end type tParameters
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type, private :: tIsotropicState
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real(pReal), pointer, dimension(:) :: &
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flowstress, &
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accumulatedShear
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end type tIsotropicState
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!--------------------------------------------------------------------------------------------------
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! containers for parameters and state
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@ -78,170 +78,169 @@ contains
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!> @details reads in material parameters, allocates arrays, and does sanity checks
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!--------------------------------------------------------------------------------------------------
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subroutine plastic_isotropic_init
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use prec, only: &
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pStringLen
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use debug, only: &
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use prec, only: &
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pStringLen
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use debug, only: &
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#ifdef DEBUG
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debug_e, &
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debug_i, &
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debug_g, &
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debug_levelExtensive, &
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debug_e, &
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debug_i, &
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debug_g, &
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debug_levelExtensive, &
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#endif
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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_error
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use material, 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_error
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use material, only: &
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#ifdef DEBUG
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phasememberAt, &
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phasememberAt, &
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#endif
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phase_plasticity, &
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phase_plasticityInstance, &
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phase_Noutput, &
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material_allocatePlasticState, &
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PLASTICITY_ISOTROPIC_label, &
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PLASTICITY_ISOTROPIC_ID, &
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material_phase, &
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plasticState
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use config, only: &
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config_phase
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use lattice
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implicit none
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integer :: &
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Ninstance, &
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p, i, &
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NipcMyPhase, &
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sizeState, sizeDotState
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character(len=65536), dimension(0), parameter :: emptyStringArray = [character(len=65536)::]
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integer(kind(undefined_ID)) :: &
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outputID
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character(len=pStringLen) :: &
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extmsg = ''
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character(len=65536), dimension(:), allocatable :: &
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outputs
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write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_ISOTROPIC_label//' init -+>>>'
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write(6,'(/,a)') ' Maiti and Eisenlohr, Scripta Materialia 145:37–40, 2018'
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write(6,'(a)') ' https://doi.org/10.1016/j.scriptamat.2017.09.047'
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Ninstance = count(phase_plasticity == PLASTICITY_ISOTROPIC_ID)
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if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
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write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
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allocate(plastic_isotropic_sizePostResult(maxval(phase_Noutput),Ninstance),source=0)
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allocate(plastic_isotropic_output(maxval(phase_Noutput),Ninstance))
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plastic_isotropic_output = ''
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allocate(param(Ninstance))
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allocate(state(Ninstance))
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allocate(dotState(Ninstance))
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do p = 1, size(phase_plasticity)
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if (phase_plasticity(p) /= PLASTICITY_ISOTROPIC_ID) cycle
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associate(prm => param(phase_plasticityInstance(p)), &
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dot => dotState(phase_plasticityInstance(p)), &
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stt => state(phase_plasticityInstance(p)), &
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config => config_phase(p))
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phase_plasticity, &
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phase_plasticityInstance, &
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phase_Noutput, &
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material_allocatePlasticState, &
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PLASTICITY_ISOTROPIC_label, &
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PLASTICITY_ISOTROPIC_ID, &
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material_phase, &
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plasticState
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use config, only: &
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config_phase
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use lattice
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implicit none
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integer :: &
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Ninstance, &
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p, i, &
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NipcMyPhase, &
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sizeState, sizeDotState
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character(len=65536), dimension(0), parameter :: emptyStringArray = [character(len=65536)::]
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integer(kind(undefined_ID)) :: &
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outputID
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character(len=pStringLen) :: &
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extmsg = ''
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character(len=65536), dimension(:), allocatable :: &
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outputs
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write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_ISOTROPIC_label//' init -+>>>'
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write(6,'(/,a)') ' Maiti and Eisenlohr, Scripta Materialia 145:37–40, 2018'
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write(6,'(a)') ' https://doi.org/10.1016/j.scriptamat.2017.09.047'
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Ninstance = count(phase_plasticity == PLASTICITY_ISOTROPIC_ID)
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if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
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write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
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allocate(plastic_isotropic_sizePostResult(maxval(phase_Noutput),Ninstance),source=0)
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allocate(plastic_isotropic_output(maxval(phase_Noutput),Ninstance))
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plastic_isotropic_output = ''
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allocate(param(Ninstance))
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allocate(state(Ninstance))
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allocate(dotState(Ninstance))
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do p = 1, size(phase_plasticity)
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if (phase_plasticity(p) /= PLASTICITY_ISOTROPIC_ID) cycle
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associate(prm => param(phase_plasticityInstance(p)), &
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dot => dotState(phase_plasticityInstance(p)), &
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stt => state(phase_plasticityInstance(p)), &
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config => config_phase(p))
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#ifdef DEBUG
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if (p==material_phase(debug_g,debug_i,debug_e)) then
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prm%of_debug = phasememberAt(debug_g,debug_i,debug_e)
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endif
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if (p==material_phase(debug_g,debug_i,debug_e)) &
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prm%of_debug = phasememberAt(debug_g,debug_i,debug_e)
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#endif
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prm%tau0 = config%getFloat('tau0')
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prm%tausat = config%getFloat('tausat')
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prm%gdot0 = config%getFloat('gdot0')
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prm%n = config%getFloat('n')
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prm%h0 = config%getFloat('h0')
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prm%fTaylor = config%getFloat('m')
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prm%h0_slopeLnRate = config%getFloat('h0_slopelnrate', defaultVal=0.0_pReal)
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prm%tausat_SinhFitA = config%getFloat('tausat_sinhfita',defaultVal=0.0_pReal)
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prm%tausat_SinhFitB = config%getFloat('tausat_sinhfitb',defaultVal=0.0_pReal)
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prm%tausat_SinhFitC = config%getFloat('tausat_sinhfitc',defaultVal=0.0_pReal)
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prm%tausat_SinhFitD = config%getFloat('tausat_sinhfitd',defaultVal=0.0_pReal)
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prm%a = config%getFloat('a')
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prm%aTolFlowStress = config%getFloat('atol_flowstress',defaultVal=1.0_pReal)
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prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
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prm%dilatation = config%keyExists('/dilatation/')
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prm%tau0 = config%getFloat('tau0')
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prm%tausat = config%getFloat('tausat')
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prm%gdot0 = config%getFloat('gdot0')
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prm%n = config%getFloat('n')
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prm%h0 = config%getFloat('h0')
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prm%fTaylor = config%getFloat('m')
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prm%h0_slopeLnRate = config%getFloat('h0_slopelnrate', defaultVal=0.0_pReal)
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prm%tausat_SinhFitA = config%getFloat('tausat_sinhfita',defaultVal=0.0_pReal)
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prm%tausat_SinhFitB = config%getFloat('tausat_sinhfitb',defaultVal=0.0_pReal)
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prm%tausat_SinhFitC = config%getFloat('tausat_sinhfitc',defaultVal=0.0_pReal)
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prm%tausat_SinhFitD = config%getFloat('tausat_sinhfitd',defaultVal=0.0_pReal)
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prm%a = config%getFloat('a')
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prm%aTolFlowStress = config%getFloat('atol_flowstress',defaultVal=1.0_pReal)
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prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
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prm%dilatation = config%keyExists('/dilatation/')
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!--------------------------------------------------------------------------------------------------
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! sanity checks
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extmsg = ''
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if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
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if (prm%tau0 < 0.0_pReal) extmsg = trim(extmsg)//' tau0'
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if (prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0'
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if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n'
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if (prm%tausat <= prm%tau0) extmsg = trim(extmsg)//' tausat'
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if (prm%a <= 0.0_pReal) extmsg = trim(extmsg)//' a'
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if (prm%fTaylor <= 0.0_pReal) extmsg = trim(extmsg)//' m'
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if (prm%aTolFlowstress <= 0.0_pReal) extmsg = trim(extmsg)//' atol_flowstress'
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if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' atol_shear'
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extmsg = ''
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if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
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if (prm%tau0 < 0.0_pReal) extmsg = trim(extmsg)//' tau0'
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if (prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0'
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if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n'
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if (prm%tausat <= prm%tau0) extmsg = trim(extmsg)//' tausat'
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if (prm%a <= 0.0_pReal) extmsg = trim(extmsg)//' a'
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if (prm%fTaylor <= 0.0_pReal) extmsg = trim(extmsg)//' m'
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if (prm%aTolFlowstress <= 0.0_pReal) extmsg = trim(extmsg)//' atol_flowstress'
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if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' atol_shear'
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!--------------------------------------------------------------------------------------------------
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! exit if any parameter is out of range
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if (extmsg /= '') &
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call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_ISOTROPIC_label//')')
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if (extmsg /= '') &
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call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_ISOTROPIC_label//')')
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!--------------------------------------------------------------------------------------------------
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! output pararameters
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outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
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allocate(prm%outputID(0))
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do i=1, size(outputs)
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outputID = undefined_ID
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select case(outputs(i))
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case ('flowstress')
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outputID = flowstress_ID
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case ('strainrate')
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outputID = strainrate_ID
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end select
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if (outputID /= undefined_ID) then
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plastic_isotropic_output(i,phase_plasticityInstance(p)) = outputs(i)
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plastic_isotropic_sizePostResult(i,phase_plasticityInstance(p)) = 1
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prm%outputID = [prm%outputID, outputID]
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endif
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enddo
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outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
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allocate(prm%outputID(0))
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do i=1, size(outputs)
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outputID = undefined_ID
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select case(outputs(i))
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case ('flowstress')
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outputID = flowstress_ID
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case ('strainrate')
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outputID = strainrate_ID
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end select
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if (outputID /= undefined_ID) then
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plastic_isotropic_output(i,phase_plasticityInstance(p)) = outputs(i)
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plastic_isotropic_sizePostResult(i,phase_plasticityInstance(p)) = 1
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prm%outputID = [prm%outputID, outputID]
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endif
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enddo
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!--------------------------------------------------------------------------------------------------
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! allocate state arrays
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NipcMyPhase = count(material_phase == p)
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sizeDotState = size(['flowstress ','accumulated_shear'])
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sizeState = sizeDotState
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call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0, &
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1,0,0)
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plasticState(p)%sizePostResults = sum(plastic_isotropic_sizePostResult(:,phase_plasticityInstance(p)))
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NipcMyPhase = count(material_phase == p)
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sizeDotState = size(['flowstress ','accumulated_shear'])
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sizeState = sizeDotState
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call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0, &
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1,0,0)
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plasticState(p)%sizePostResults = sum(plastic_isotropic_sizePostResult(:,phase_plasticityInstance(p)))
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!--------------------------------------------------------------------------------------------------
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! locally defined state aliases and initialization of state0 and aTolState
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stt%flowstress => plasticState(p)%state (1,:)
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stt%flowstress = prm%tau0
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dot%flowstress => plasticState(p)%dotState(1,:)
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plasticState(p)%aTolState(1) = prm%aTolFlowstress
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stt%accumulatedShear => plasticState(p)%state (2,:)
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dot%accumulatedShear => plasticState(p)%dotState(2,:)
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plasticState(p)%aTolState(2) = prm%aTolShear
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! global alias
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plasticState(p)%slipRate => plasticState(p)%dotState(2:2,:)
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plasticState(p)%accumulatedSlip => plasticState(p)%state (2:2,:)
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plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
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end associate
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enddo
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stt%flowstress => plasticState(p)%state (1,:)
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stt%flowstress = prm%tau0
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dot%flowstress => plasticState(p)%dotState(1,:)
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plasticState(p)%aTolState(1) = prm%aTolFlowstress
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stt%accumulatedShear => plasticState(p)%state (2,:)
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dot%accumulatedShear => plasticState(p)%dotState(2,:)
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plasticState(p)%aTolState(2) = prm%aTolShear
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! global alias
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plasticState(p)%slipRate => plasticState(p)%dotState(2:2,:)
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plasticState(p)%accumulatedSlip => plasticState(p)%state (2:2,:)
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plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
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end associate
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enddo
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end subroutine plastic_isotropic_init
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@ -251,69 +250,69 @@ end subroutine plastic_isotropic_init
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!--------------------------------------------------------------------------------------------------
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subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
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#ifdef DEBUG
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use debug, only: &
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debug_level, &
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debug_constitutive,&
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debug_levelExtensive, &
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debug_levelSelective
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use debug, only: &
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debug_level, &
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debug_constitutive,&
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debug_levelExtensive, &
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debug_levelSelective
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||||
#endif
|
||||
use math, only: &
|
||||
math_deviatoric33, &
|
||||
math_mul33xx33
|
||||
|
||||
implicit none
|
||||
real(pReal), dimension(3,3), intent(out) :: &
|
||||
Lp !< plastic velocity gradient
|
||||
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
||||
dLp_dMp !< derivative of Lp with respect to the Mandel stress
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), dimension(3,3) :: &
|
||||
Mp_dev !< deviatoric part of the Mandel stress
|
||||
real(pReal) :: &
|
||||
gamma_dot, & !< strainrate
|
||||
norm_Mp_dev, & !< norm of the deviatoric part of the Mandel stress
|
||||
squarenorm_Mp_dev !< square of the norm of the deviatoric part of the Mandel stress
|
||||
integer :: &
|
||||
k, l, m, n
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
|
||||
Mp_dev = math_deviatoric33(Mp)
|
||||
squarenorm_Mp_dev = math_mul33xx33(Mp_dev,Mp_dev)
|
||||
norm_Mp_dev = sqrt(squarenorm_Mp_dev)
|
||||
|
||||
if (norm_Mp_dev > 0.0_pReal) then
|
||||
gamma_dot = prm%gdot0 * (sqrt(1.5_pReal) * norm_Mp_dev/(prm%fTaylor*stt%flowstress(of))) **prm%n
|
||||
|
||||
Lp = Mp_dev/norm_Mp_dev * gamma_dot/prm%fTaylor
|
||||
use math, only: &
|
||||
math_deviatoric33, &
|
||||
math_mul33xx33
|
||||
|
||||
implicit none
|
||||
real(pReal), dimension(3,3), intent(out) :: &
|
||||
Lp !< plastic velocity gradient
|
||||
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
||||
dLp_dMp !< derivative of Lp with respect to the Mandel stress
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), dimension(3,3) :: &
|
||||
Mp_dev !< deviatoric part of the Mandel stress
|
||||
real(pReal) :: &
|
||||
gamma_dot, & !< strainrate
|
||||
norm_Mp_dev, & !< norm of the deviatoric part of the Mandel stress
|
||||
squarenorm_Mp_dev !< square of the norm of the deviatoric part of the Mandel stress
|
||||
integer :: &
|
||||
k, l, m, n
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
|
||||
Mp_dev = math_deviatoric33(Mp)
|
||||
squarenorm_Mp_dev = math_mul33xx33(Mp_dev,Mp_dev)
|
||||
norm_Mp_dev = sqrt(squarenorm_Mp_dev)
|
||||
|
||||
if (norm_Mp_dev > 0.0_pReal) then
|
||||
gamma_dot = prm%gdot0 * (sqrt(1.5_pReal) * norm_Mp_dev/(prm%fTaylor*stt%flowstress(of))) **prm%n
|
||||
|
||||
Lp = Mp_dev/norm_Mp_dev * gamma_dot/prm%fTaylor
|
||||
#ifdef DEBUG
|
||||
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 &
|
||||
.and. (of == prm%of_debug .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0)) then
|
||||
write(6,'(/,a,/,3(12x,3(f12.4,1x)/))') '<< CONST isotropic >> Tstar (dev) / MPa', &
|
||||
transpose(Mp_dev)*1.0e-6_pReal
|
||||
write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> norm Tstar / MPa', norm_Mp_dev*1.0e-6_pReal
|
||||
write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> gdot', gamma_dot
|
||||
end if
|
||||
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 &
|
||||
.and. (of == prm%of_debug .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0)) then
|
||||
write(6,'(/,a,/,3(12x,3(f12.4,1x)/))') '<< CONST isotropic >> Tstar (dev) / MPa', &
|
||||
transpose(Mp_dev)*1.0e-6_pReal
|
||||
write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> norm Tstar / MPa', norm_Mp_dev*1.0e-6_pReal
|
||||
write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> gdot', gamma_dot
|
||||
end if
|
||||
#endif
|
||||
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
|
||||
dLp_dMp(k,l,m,n) = (prm%n-1.0_pReal) * Mp_dev(k,l)*Mp_dev(m,n) / squarenorm_Mp_dev
|
||||
forall (k=1:3,l=1:3) &
|
||||
dLp_dMp(k,l,k,l) = dLp_dMp(k,l,k,l) + 1.0_pReal
|
||||
forall (k=1:3,m=1:3) &
|
||||
dLp_dMp(k,k,m,m) = dLp_dMp(k,k,m,m) - 1.0_pReal/3.0_pReal
|
||||
dLp_dMp = gamma_dot / prm%fTaylor * dLp_dMp / norm_Mp_dev
|
||||
else
|
||||
Lp = 0.0_pReal
|
||||
dLp_dMp = 0.0_pReal
|
||||
end if
|
||||
|
||||
end associate
|
||||
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
|
||||
dLp_dMp(k,l,m,n) = (prm%n-1.0_pReal) * Mp_dev(k,l)*Mp_dev(m,n) / squarenorm_Mp_dev
|
||||
forall (k=1:3,l=1:3) &
|
||||
dLp_dMp(k,l,k,l) = dLp_dMp(k,l,k,l) + 1.0_pReal
|
||||
forall (k=1:3,m=1:3) &
|
||||
dLp_dMp(k,k,m,m) = dLp_dMp(k,k,m,m) - 1.0_pReal/3.0_pReal
|
||||
dLp_dMp = gamma_dot / prm%fTaylor * dLp_dMp / norm_Mp_dev
|
||||
else
|
||||
Lp = 0.0_pReal
|
||||
dLp_dMp = 0.0_pReal
|
||||
end if
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine plastic_isotropic_LpAndItsTangent
|
||||
|
||||
|
|
@ -323,53 +322,53 @@ end subroutine plastic_isotropic_LpAndItsTangent
|
|||
! ToDo: Rename Tstar to Mi?
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar,Tstar,instance,of)
|
||||
use math, only: &
|
||||
math_spherical33, &
|
||||
math_mul33xx33
|
||||
|
||||
implicit none
|
||||
real(pReal), dimension(3,3), intent(out) :: &
|
||||
Li !< inleastic velocity gradient
|
||||
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
||||
dLi_dTstar !< derivative of Li with respect to the Mandel stress
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Tstar !< Mandel stress ToDo: Mi?
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), dimension(3,3) :: &
|
||||
Tstar_sph !< sphiatoric part of the Mandel stress
|
||||
real(pReal) :: &
|
||||
gamma_dot, & !< strainrate
|
||||
norm_Tstar_sph, & !< euclidean norm of Tstar_sph
|
||||
squarenorm_Tstar_sph !< square of the euclidean norm of Tstar_sph
|
||||
integer :: &
|
||||
k, l, m, n
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
|
||||
Tstar_sph = math_spherical33(Tstar)
|
||||
squarenorm_Tstar_sph = math_mul33xx33(Tstar_sph,Tstar_sph)
|
||||
norm_Tstar_sph = sqrt(squarenorm_Tstar_sph)
|
||||
|
||||
if (prm%dilatation .and. norm_Tstar_sph > 0.0_pReal) then ! no stress or J2 plastitiy --> Li and its derivative are zero
|
||||
gamma_dot = prm%gdot0 * (sqrt(1.5_pReal) * norm_Tstar_sph /(prm%fTaylor*stt%flowstress(of))) **prm%n
|
||||
|
||||
Li = Tstar_sph/norm_Tstar_sph * gamma_dot/prm%fTaylor
|
||||
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
|
||||
dLi_dTstar(k,l,m,n) = (prm%n-1.0_pReal) * Tstar_sph(k,l)*Tstar_sph(m,n) / squarenorm_Tstar_sph
|
||||
forall (k=1:3,l=1:3) &
|
||||
dLi_dTstar(k,l,k,l) = dLi_dTstar(k,l,k,l) + 1.0_pReal
|
||||
|
||||
dLi_dTstar = gamma_dot / prm%fTaylor * dLi_dTstar / norm_Tstar_sph
|
||||
else
|
||||
Li = 0.0_pReal
|
||||
dLi_dTstar = 0.0_pReal
|
||||
endif
|
||||
|
||||
end associate
|
||||
use math, only: &
|
||||
math_spherical33, &
|
||||
math_mul33xx33
|
||||
|
||||
implicit none
|
||||
real(pReal), dimension(3,3), intent(out) :: &
|
||||
Li !< inleastic velocity gradient
|
||||
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
||||
dLi_dTstar !< derivative of Li with respect to the Mandel stress
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Tstar !< Mandel stress ToDo: Mi?
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), dimension(3,3) :: &
|
||||
Tstar_sph !< sphiatoric part of the Mandel stress
|
||||
real(pReal) :: &
|
||||
gamma_dot, & !< strainrate
|
||||
norm_Tstar_sph, & !< euclidean norm of Tstar_sph
|
||||
squarenorm_Tstar_sph !< square of the euclidean norm of Tstar_sph
|
||||
integer :: &
|
||||
k, l, m, n
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
|
||||
Tstar_sph = math_spherical33(Tstar)
|
||||
squarenorm_Tstar_sph = math_mul33xx33(Tstar_sph,Tstar_sph)
|
||||
norm_Tstar_sph = sqrt(squarenorm_Tstar_sph)
|
||||
|
||||
if (prm%dilatation .and. norm_Tstar_sph > 0.0_pReal) then ! no stress or J2 plastitiy --> Li and its derivative are zero
|
||||
gamma_dot = prm%gdot0 * (sqrt(1.5_pReal) * norm_Tstar_sph /(prm%fTaylor*stt%flowstress(of))) **prm%n
|
||||
|
||||
Li = Tstar_sph/norm_Tstar_sph * gamma_dot/prm%fTaylor
|
||||
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
|
||||
dLi_dTstar(k,l,m,n) = (prm%n-1.0_pReal) * Tstar_sph(k,l)*Tstar_sph(m,n) / squarenorm_Tstar_sph
|
||||
forall (k=1:3,l=1:3) &
|
||||
dLi_dTstar(k,l,k,l) = dLi_dTstar(k,l,k,l) + 1.0_pReal
|
||||
|
||||
dLi_dTstar = gamma_dot / prm%fTaylor * dLi_dTstar / norm_Tstar_sph
|
||||
else
|
||||
Li = 0.0_pReal
|
||||
dLi_dTstar = 0.0_pReal
|
||||
endif
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine plastic_isotropic_LiAndItsTangent
|
||||
|
||||
|
|
@ -378,55 +377,55 @@ subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar,Tstar,instance,of)
|
|||
!> @brief calculates the rate of change of microstructure
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_isotropic_dotState(Mp,instance,of)
|
||||
use prec, only: &
|
||||
dEq0
|
||||
use math, only: &
|
||||
math_mul33xx33, &
|
||||
math_deviatoric33
|
||||
|
||||
implicit none
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal) :: &
|
||||
gamma_dot, & !< strainrate
|
||||
hardening, & !< hardening coefficient
|
||||
saturation, & !< saturation flowstress
|
||||
norm_Mp !< norm of the (deviatoric) Mandel stress
|
||||
|
||||
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
|
||||
|
||||
if (prm%dilatation) then
|
||||
norm_Mp = sqrt(math_mul33xx33(Mp,Mp))
|
||||
else
|
||||
norm_Mp = sqrt(math_mul33xx33(math_deviatoric33(Mp),math_deviatoric33(Mp)))
|
||||
endif
|
||||
|
||||
gamma_dot = prm%gdot0 * (sqrt(1.5_pReal) * norm_Mp /(prm%fTaylor*stt%flowstress(of))) **prm%n
|
||||
|
||||
if (abs(gamma_dot) > 1e-12_pReal) then
|
||||
if (dEq0(prm%tausat_SinhFitA)) then
|
||||
saturation = prm%tausat
|
||||
else
|
||||
saturation = prm%tausat &
|
||||
+ asinh( (gamma_dot / prm%tausat_SinhFitA)**(1.0_pReal / prm%tausat_SinhFitD) &
|
||||
)**(1.0_pReal / prm%tausat_SinhFitC) &
|
||||
/ prm%tausat_SinhFitB * (gamma_dot / prm%gdot0)**(1.0_pReal / prm%n)
|
||||
endif
|
||||
hardening = ( prm%h0 + prm%h0_slopeLnRate * log(gamma_dot) ) &
|
||||
* abs( 1.0_pReal - stt%flowstress(of)/saturation )**prm%a &
|
||||
* sign(1.0_pReal, 1.0_pReal - stt%flowstress(of)/saturation)
|
||||
else
|
||||
hardening = 0.0_pReal
|
||||
endif
|
||||
|
||||
dot%flowstress (of) = hardening * gamma_dot
|
||||
dot%accumulatedShear(of) = gamma_dot
|
||||
|
||||
end associate
|
||||
use prec, only: &
|
||||
dEq0
|
||||
use math, only: &
|
||||
math_mul33xx33, &
|
||||
math_deviatoric33
|
||||
|
||||
implicit none
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal) :: &
|
||||
gamma_dot, & !< strainrate
|
||||
hardening, & !< hardening coefficient
|
||||
saturation, & !< saturation flowstress
|
||||
norm_Mp !< norm of the (deviatoric) Mandel stress
|
||||
|
||||
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
|
||||
|
||||
if (prm%dilatation) then
|
||||
norm_Mp = sqrt(math_mul33xx33(Mp,Mp))
|
||||
else
|
||||
norm_Mp = sqrt(math_mul33xx33(math_deviatoric33(Mp),math_deviatoric33(Mp)))
|
||||
endif
|
||||
|
||||
gamma_dot = prm%gdot0 * (sqrt(1.5_pReal) * norm_Mp /(prm%fTaylor*stt%flowstress(of))) **prm%n
|
||||
|
||||
if (abs(gamma_dot) > 1e-12_pReal) then
|
||||
if (dEq0(prm%tausat_SinhFitA)) then
|
||||
saturation = prm%tausat
|
||||
else
|
||||
saturation = prm%tausat &
|
||||
+ asinh( (gamma_dot / prm%tausat_SinhFitA)**(1.0_pReal / prm%tausat_SinhFitD) &
|
||||
)**(1.0_pReal / prm%tausat_SinhFitC) &
|
||||
/ prm%tausat_SinhFitB * (gamma_dot / prm%gdot0)**(1.0_pReal / prm%n)
|
||||
endif
|
||||
hardening = ( prm%h0 + prm%h0_slopeLnRate * log(gamma_dot) ) &
|
||||
* abs( 1.0_pReal - stt%flowstress(of)/saturation )**prm%a &
|
||||
* sign(1.0_pReal, 1.0_pReal - stt%flowstress(of)/saturation)
|
||||
else
|
||||
hardening = 0.0_pReal
|
||||
endif
|
||||
|
||||
dot%flowstress (of) = hardening * gamma_dot
|
||||
dot%accumulatedShear(of) = gamma_dot
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine plastic_isotropic_dotState
|
||||
|
||||
|
|
@ -435,50 +434,50 @@ end subroutine plastic_isotropic_dotState
|
|||
!> @brief return array of constitutive results
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
function plastic_isotropic_postResults(Mp,instance,of) result(postResults)
|
||||
use math, only: &
|
||||
math_mul33xx33, &
|
||||
math_deviatoric33
|
||||
|
||||
implicit none
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), dimension(sum(plastic_isotropic_sizePostResult(:,instance))) :: &
|
||||
postResults
|
||||
|
||||
real(pReal) :: &
|
||||
norm_Mp !< norm of the Mandel stress
|
||||
integer :: &
|
||||
o,c
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
|
||||
if (prm%dilatation) then
|
||||
norm_Mp = sqrt(math_mul33xx33(Mp,Mp))
|
||||
else
|
||||
norm_Mp = sqrt(math_mul33xx33(math_deviatoric33(Mp),math_deviatoric33(Mp)))
|
||||
endif
|
||||
|
||||
c = 0
|
||||
|
||||
outputsLoop: do o = 1,size(prm%outputID)
|
||||
select case(prm%outputID(o))
|
||||
|
||||
case (flowstress_ID)
|
||||
postResults(c+1) = stt%flowstress(of)
|
||||
c = c + 1
|
||||
case (strainrate_ID)
|
||||
postResults(c+1) = prm%gdot0 &
|
||||
* (sqrt(1.5_pReal) * norm_Mp /(prm%fTaylor * stt%flowstress(of)))**prm%n
|
||||
c = c + 1
|
||||
|
||||
end select
|
||||
enddo outputsLoop
|
||||
|
||||
end associate
|
||||
use math, only: &
|
||||
math_mul33xx33, &
|
||||
math_deviatoric33
|
||||
|
||||
implicit none
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), dimension(sum(plastic_isotropic_sizePostResult(:,instance))) :: &
|
||||
postResults
|
||||
|
||||
real(pReal) :: &
|
||||
norm_Mp !< norm of the Mandel stress
|
||||
integer :: &
|
||||
o,c
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
|
||||
if (prm%dilatation) then
|
||||
norm_Mp = sqrt(math_mul33xx33(Mp,Mp))
|
||||
else
|
||||
norm_Mp = sqrt(math_mul33xx33(math_deviatoric33(Mp),math_deviatoric33(Mp)))
|
||||
endif
|
||||
|
||||
c = 0
|
||||
|
||||
outputsLoop: do o = 1,size(prm%outputID)
|
||||
select case(prm%outputID(o))
|
||||
|
||||
case (flowstress_ID)
|
||||
postResults(c+1) = stt%flowstress(of)
|
||||
c = c + 1
|
||||
case (strainrate_ID)
|
||||
postResults(c+1) = prm%gdot0 &
|
||||
* (sqrt(1.5_pReal) * norm_Mp /(prm%fTaylor * stt%flowstress(of)))**prm%n
|
||||
c = c + 1
|
||||
|
||||
end select
|
||||
enddo outputsLoop
|
||||
|
||||
end associate
|
||||
|
||||
end function plastic_isotropic_postResults
|
||||
|
||||
|
|
|
|||
Loading…
Reference in New Issue