740 lines
32 KiB
Fortran
740 lines
32 KiB
Fortran
!--------------------------------------------------------------------------------------------------
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!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief phenomenological crystal plasticity formulation using a powerlaw fitting
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!--------------------------------------------------------------------------------------------------
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module plastic_phenopowerlaw
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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, target, public :: &
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plastic_phenopowerlaw_sizePostResult !< size of each post result output
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character(len=64), dimension(:,:), allocatable, target, public :: &
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plastic_phenopowerlaw_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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resistance_slip_ID, &
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accumulatedshear_slip_ID, &
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shearrate_slip_ID, &
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resolvedstress_slip_ID, &
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resistance_twin_ID, &
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accumulatedshear_twin_ID, &
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shearrate_twin_ID, &
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resolvedstress_twin_ID
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end enum
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type, private :: tParameters
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real(pReal) :: &
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gdot0_slip, & !< reference shear strain rate for slip
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gdot0_twin, & !< reference shear strain rate for twin
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n_slip, & !< stress exponent for slip
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n_twin, & !< stress exponent for twin
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spr, & !< push-up factor for slip saturation due to twinning
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twinB, &
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twinC, &
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twinD, &
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twinE, &
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h0_SlipSlip, & !< reference hardening slip - slip
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h0_TwinSlip, & !< reference hardening twin - slip
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h0_TwinTwin, & !< reference hardening twin - twin
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a_slip, &
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aTolResistance, & !< absolute tolerance for integration of xi
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aTolShear, & !< absolute tolerance for integration of gamma
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aTolTwinfrac !< absolute tolerance for integration of f
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real(pReal), allocatable, dimension(:) :: &
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xi_slip_0, & !< initial critical shear stress for slip
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xi_twin_0, & !< initial critical shear stress for twin
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xi_slip_sat, & !< maximum critical shear stress for slip
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nonSchmidCoeff, &
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H_int, & !< per family hardening activity (optional)
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gamma_twin_char !< characteristic shear for twins
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real(pReal), allocatable, dimension(:,:) :: &
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interaction_SlipSlip, & !< slip resistance from slip activity
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interaction_SlipTwin, & !< slip resistance from twin activity
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interaction_TwinSlip, & !< twin resistance from slip activity
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interaction_TwinTwin !< twin resistance from twin activity
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real(pReal), allocatable, dimension(:,:,:) :: &
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Schmid_slip, &
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Schmid_twin, &
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nonSchmid_pos, &
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nonSchmid_neg
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integer(pInt) :: &
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totalNslip, & !< total number of active slip system
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totalNtwin !< total number of active twin systems
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integer(pInt), allocatable, dimension(:) :: &
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Nslip, & !< number of active slip systems for each family
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Ntwin !< number of active twin systems for each family
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integer(kind(undefined_ID)), allocatable, dimension(:) :: &
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outputID !< ID of each post result output
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end type tParameters
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type, private :: tPhenopowerlawState
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real(pReal), pointer, dimension(:,:) :: &
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xi_slip, &
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xi_twin, &
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gamma_slip, &
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gamma_twin
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end type tPhenopowerlawState
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!--------------------------------------------------------------------------------------------------
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! containers for parameters and state
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type(tParameters), allocatable, dimension(:), private :: param
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type(tPhenopowerlawState), allocatable, dimension(:), private :: &
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dotState, &
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state
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public :: &
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plastic_phenopowerlaw_init, &
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plastic_phenopowerlaw_LpAndItsTangent, &
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plastic_phenopowerlaw_dotState, &
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plastic_phenopowerlaw_postResults, &
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plastic_phenopowerlaw_results
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private :: &
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kinetics_slip, &
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kinetics_twin
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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 plastic_phenopowerlaw_init
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#if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800
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use, intrinsic :: iso_fortran_env, only: &
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compiler_version, &
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compiler_options
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#endif
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use prec, only: &
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pStringLen
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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 math, only: &
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math_expand
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use IO, only: &
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IO_error, &
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IO_timeStamp
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use material, only: &
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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_PHENOPOWERLAW_LABEL, &
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PLASTICITY_PHENOPOWERLAW_ID, &
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material_phase, &
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plasticState
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use config, only: &
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MATERIAL_partPhase, &
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config_phase
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use lattice
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implicit none
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integer(pInt) :: &
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Ninstance, &
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p, i, &
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NipcMyPhase, outputSize, &
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sizeState, sizeDotState, &
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startIndex, endIndex
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integer(pInt), dimension(0), parameter :: emptyIntArray = [integer(pInt)::]
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real(pReal), dimension(0), parameter :: emptyRealArray = [real(pReal)::]
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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_PHENOPOWERLAW_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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Ninstance = int(count(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID),pInt)
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if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) &
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write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
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allocate(plastic_phenopowerlaw_sizePostResult(maxval(phase_Noutput),Ninstance),source=0_pInt)
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allocate(plastic_phenopowerlaw_output(maxval(phase_Noutput),Ninstance))
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plastic_phenopowerlaw_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_pInt, size(phase_plasticity)
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if (phase_plasticity(p) /= PLASTICITY_PHENOPOWERLAW_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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!--------------------------------------------------------------------------------------------------
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! optional parameters that need to be defined
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prm%twinB = config%getFloat('twin_b',defaultVal=1.0_pReal)
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prm%twinC = config%getFloat('twin_c',defaultVal=0.0_pReal)
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prm%twinD = config%getFloat('twin_d',defaultVal=0.0_pReal)
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prm%twinE = config%getFloat('twin_e',defaultVal=0.0_pReal)
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prm%aTolResistance = config%getFloat('atol_resistance',defaultVal=1.0_pReal)
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prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
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prm%aTolTwinfrac = config%getFloat('atol_twinfrac', defaultVal=1.0e-6_pReal)
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! sanity checks
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if (prm%aTolResistance <= 0.0_pReal) extmsg = trim(extmsg)//' aTolresistance'
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if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
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if (prm%aTolTwinfrac <= 0.0_pReal) extmsg = trim(extmsg)//' atoltwinfrac'
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!--------------------------------------------------------------------------------------------------
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! slip related parameters
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prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray)
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prm%totalNslip = sum(prm%Nslip)
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slipActive: if (prm%totalNslip > 0_pInt) then
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prm%Schmid_slip = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),&
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config%getFloat('c/a',defaultVal=0.0_pReal))
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if(trim(config%getString('lattice_structure')) == 'bcc') then
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prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
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defaultVal = emptyRealArray)
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prm%nonSchmid_pos = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,+1_pInt)
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prm%nonSchmid_neg = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,-1_pInt)
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else
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prm%nonSchmid_pos = prm%Schmid_slip
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prm%nonSchmid_neg = prm%Schmid_slip
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endif
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prm%interaction_SlipSlip = lattice_interaction_SlipSlip(prm%Nslip, &
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config%getFloats('interaction_slipslip'), &
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config%getString('lattice_structure'))
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prm%xi_slip_0 = config%getFloats('tau0_slip', requiredSize=size(prm%Nslip))
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prm%xi_slip_sat = config%getFloats('tausat_slip', requiredSize=size(prm%Nslip))
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prm%H_int = config%getFloats('h_int', requiredSize=size(prm%Nslip), &
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defaultVal=[(0.0_pReal,i=1_pInt,size(prm%Nslip))])
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prm%gdot0_slip = config%getFloat('gdot0_slip')
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prm%n_slip = config%getFloat('n_slip')
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prm%a_slip = config%getFloat('a_slip')
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prm%h0_SlipSlip = config%getFloat('h0_slipslip')
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! expand: family => system
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prm%xi_slip_0 = math_expand(prm%xi_slip_0, prm%Nslip)
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prm%xi_slip_sat = math_expand(prm%xi_slip_sat,prm%Nslip)
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prm%H_int = math_expand(prm%H_int, prm%Nslip)
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! sanity checks
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if ( prm%gdot0_slip <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_slip'
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if ( prm%a_slip <= 0.0_pReal) extmsg = trim(extmsg)//' a_slip'
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if ( prm%n_slip <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip'
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if (any(prm%xi_slip_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_slip_0'
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if (any(prm%xi_slip_sat <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_slip_sat'
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else slipActive
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allocate(prm%interaction_SlipSlip(0,0))
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allocate(prm%xi_slip_0(0))
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endif slipActive
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!--------------------------------------------------------------------------------------------------
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! twin related parameters
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prm%Ntwin = config%getInts('ntwin', defaultVal=emptyIntArray)
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prm%totalNtwin = sum(prm%Ntwin)
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twinActive: if (prm%totalNtwin > 0_pInt) then
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prm%Schmid_twin = lattice_SchmidMatrix_twin(prm%Ntwin,config%getString('lattice_structure'),&
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config%getFloat('c/a',defaultVal=0.0_pReal))
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prm%interaction_TwinTwin = lattice_interaction_TwinTwin(prm%Ntwin,&
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config%getFloats('interaction_twintwin'), &
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config%getString('lattice_structure'))
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prm%gamma_twin_char = lattice_characteristicShear_twin(prm%Ntwin,config%getString('lattice_structure'),&
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config%getFloat('c/a'))
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prm%xi_twin_0 = config%getFloats('tau0_twin',requiredSize=size(prm%Ntwin))
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prm%gdot0_twin = config%getFloat('gdot0_twin')
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prm%n_twin = config%getFloat('n_twin')
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prm%spr = config%getFloat('s_pr')
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prm%h0_TwinTwin = config%getFloat('h0_twintwin')
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! expand: family => system
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prm%xi_twin_0 = math_expand(prm%xi_twin_0, prm%Ntwin)
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! sanity checks
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if (prm%gdot0_twin <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_twin'
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if (prm%n_twin <= 0.0_pReal) extmsg = trim(extmsg)//' n_twin'
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else twinActive
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allocate(prm%interaction_TwinTwin(0,0))
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allocate(prm%xi_twin_0(0))
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allocate(prm%gamma_twin_char(0))
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endif twinActive
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!--------------------------------------------------------------------------------------------------
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! slip-twin related parameters
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slipAndTwinActive: if (prm%totalNslip > 0_pInt .and. prm%totalNtwin > 0_pInt) then
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prm%interaction_SlipTwin = lattice_interaction_SlipTwin(prm%Nslip,prm%Ntwin,&
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config%getFloats('interaction_sliptwin'), &
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config%getString('lattice_structure'))
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prm%interaction_TwinSlip = lattice_interaction_TwinSlip(prm%Ntwin,prm%Nslip,&
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config%getFloats('interaction_twinslip'), &
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config%getString('lattice_structure'))
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else slipAndTwinActive
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allocate(prm%interaction_SlipTwin(prm%totalNslip,prm%TotalNtwin)) ! at least one dimension is 0
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allocate(prm%interaction_TwinSlip(prm%totalNtwin,prm%TotalNslip)) ! at least one dimension is 0
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prm%h0_TwinSlip = 0.0_pReal
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endif slipAndTwinActive
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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_pInt,ext_msg=trim(extmsg)//'('//PLASTICITY_PHENOPOWERLAW_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_pInt, size(outputs)
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outputID = undefined_ID
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select case(outputs(i))
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case ('resistance_slip')
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outputID = merge(resistance_slip_ID,undefined_ID,prm%totalNslip>0_pInt)
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outputSize = prm%totalNslip
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case ('accumulatedshear_slip')
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outputID = merge(accumulatedshear_slip_ID,undefined_ID,prm%totalNslip>0_pInt)
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outputSize = prm%totalNslip
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case ('shearrate_slip')
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outputID = merge(shearrate_slip_ID,undefined_ID,prm%totalNslip>0_pInt)
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outputSize = prm%totalNslip
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case ('resolvedstress_slip')
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outputID = merge(resolvedstress_slip_ID,undefined_ID,prm%totalNslip>0_pInt)
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outputSize = prm%totalNslip
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case ('resistance_twin')
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outputID = merge(resistance_twin_ID,undefined_ID,prm%totalNtwin>0_pInt)
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outputSize = prm%totalNtwin
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case ('accumulatedshear_twin')
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outputID = merge(accumulatedshear_twin_ID,undefined_ID,prm%totalNtwin>0_pInt)
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outputSize = prm%totalNtwin
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case ('shearrate_twin')
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outputID = merge(shearrate_twin_ID,undefined_ID,prm%totalNtwin>0_pInt)
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outputSize = prm%totalNtwin
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case ('resolvedstress_twin')
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outputID = merge(resolvedstress_twin_ID,undefined_ID,prm%totalNtwin>0_pInt)
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outputSize = prm%totalNtwin
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end select
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if (outputID /= undefined_ID) then
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plastic_phenopowerlaw_output(i,phase_plasticityInstance(p)) = outputs(i)
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plastic_phenopowerlaw_sizePostResult(i,phase_plasticityInstance(p)) = outputSize
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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(['tau_slip ','gamma_slip']) * prm%totalNslip &
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+ size(['tau_twin ','gamma_twin']) * prm%totalNtwin
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sizeState = sizeDotState
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call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0_pInt, &
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prm%totalNslip,prm%totalNtwin,0_pInt)
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plasticState(p)%sizePostResults = sum(plastic_phenopowerlaw_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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startIndex = 1_pInt
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endIndex = prm%totalNslip
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stt%xi_slip => plasticState(p)%state (startIndex:endIndex,:)
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stt%xi_slip = spread(prm%xi_slip_0, 2, NipcMyPhase)
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dot%xi_slip => plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
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startIndex = endIndex + 1_pInt
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endIndex = endIndex + prm%totalNtwin
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stt%xi_twin => plasticState(p)%state (startIndex:endIndex,:)
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stt%xi_twin = spread(prm%xi_twin_0, 2, NipcMyPhase)
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dot%xi_twin => plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
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startIndex = endIndex + 1_pInt
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endIndex = endIndex + prm%totalNslip
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stt%gamma_slip => plasticState(p)%state (startIndex:endIndex,:)
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dot%gamma_slip => plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
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! global alias
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plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%accumulatedSlip => plasticState(p)%state(startIndex:endIndex,:)
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startIndex = endIndex + 1_pInt
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endIndex = endIndex + prm%totalNtwin
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stt%gamma_twin => plasticState(p)%state (startIndex:endIndex,:)
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dot%gamma_twin => plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
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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_phenopowerlaw_init
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates plastic velocity gradient and its tangent
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!> @details asummes that deformation by dislocation glide affects twinned and untwinned volume
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! equally (Taylor assumption). Twinning happens only in untwinned volume
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!--------------------------------------------------------------------------------------------------
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pure subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
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implicit none
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real(pReal), dimension(3,3), intent(out) :: &
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Lp !< plastic velocity gradient
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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(pInt), intent(in) :: &
|
|
instance, &
|
|
of
|
|
|
|
integer(pInt) :: &
|
|
i,k,l,m,n
|
|
real(pReal), dimension(param(instance)%totalNslip) :: &
|
|
gdot_slip_pos,gdot_slip_neg, &
|
|
dgdot_dtauslip_pos,dgdot_dtauslip_neg
|
|
real(pReal), dimension(param(instance)%totalNtwin) :: &
|
|
gdot_twin,dgdot_dtautwin
|
|
|
|
Lp = 0.0_pReal
|
|
dLp_dMp = 0.0_pReal
|
|
|
|
associate(prm => param(instance))
|
|
|
|
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg,dgdot_dtauslip_pos,dgdot_dtauslip_neg)
|
|
slipSystems: do i = 1_pInt, prm%totalNslip
|
|
Lp = Lp + (gdot_slip_pos(i)+gdot_slip_neg(i))*prm%Schmid_slip(1:3,1:3,i)
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
|
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
|
|
+ dgdot_dtauslip_pos(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_pos(m,n,i) &
|
|
+ dgdot_dtauslip_neg(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_neg(m,n,i)
|
|
enddo slipSystems
|
|
|
|
call kinetics_twin(Mp,instance,of,gdot_twin,dgdot_dtautwin)
|
|
twinSystems: do i = 1_pInt, prm%totalNtwin
|
|
Lp = Lp + gdot_twin(i)*prm%Schmid_twin(1:3,1:3,i)
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
|
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
|
|
+ dgdot_dtautwin(i)*prm%Schmid_twin(k,l,i)*prm%Schmid_twin(m,n,i)
|
|
enddo twinSystems
|
|
|
|
end associate
|
|
|
|
end subroutine plastic_phenopowerlaw_LpAndItsTangent
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief calculates the rate of change of microstructure
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
|
|
|
|
implicit none
|
|
real(pReal), dimension(3,3), intent(in) :: &
|
|
Mp !< Mandel stress
|
|
integer(pInt), intent(in) :: &
|
|
instance, &
|
|
of
|
|
|
|
integer(pInt) :: &
|
|
i
|
|
real(pReal) :: &
|
|
c_SlipSlip,c_TwinSlip,c_TwinTwin, &
|
|
xi_slip_sat_offset,&
|
|
sumGamma,sumF
|
|
real(pReal), dimension(param(instance)%totalNslip) :: &
|
|
left_SlipSlip,right_SlipSlip, &
|
|
gdot_slip_pos,gdot_slip_neg
|
|
|
|
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
|
|
|
|
sumGamma = sum(stt%gamma_slip(:,of))
|
|
sumF = sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices
|
|
c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%twinC*sumF** prm%twinB)
|
|
c_TwinSlip = prm%h0_TwinSlip * sumGamma**prm%twinE
|
|
c_TwinTwin = prm%h0_TwinTwin * sumF**prm%twinD
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! calculate left and right vectors
|
|
left_SlipSlip = 1.0_pReal + prm%H_int
|
|
xi_slip_sat_offset = prm%spr*sqrt(sumF)
|
|
right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) **prm%a_slip &
|
|
* sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset))
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! shear rates
|
|
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg)
|
|
dot%gamma_slip(:,of) = abs(gdot_slip_pos+gdot_slip_neg)
|
|
call kinetics_twin(Mp,instance,of,dot%gamma_twin(:,of))
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! hardening
|
|
hardeningSlip: do i = 1_pInt, prm%totalNslip
|
|
dot%xi_slip(i,of) = dot_product(prm%interaction_SlipSlip(i,:),right_SlipSlip*dot%gamma_slip(:,of)) &
|
|
* c_SlipSlip * left_SlipSlip(i) &
|
|
+ dot_product(prm%interaction_SlipTwin(i,:),dot%gamma_twin(:,of))
|
|
enddo hardeningSlip
|
|
|
|
hardeningTwin: do i = 1_pInt, prm%totalNtwin
|
|
dot%xi_twin(i,of) = c_TwinSlip * dot_product(prm%interaction_TwinSlip(i,:),dot%gamma_slip(:,of)) &
|
|
+ c_TwinTwin * dot_product(prm%interaction_TwinTwin(i,:),dot%gamma_twin(:,of))
|
|
enddo hardeningTwin
|
|
|
|
end associate
|
|
|
|
end subroutine plastic_phenopowerlaw_dotState
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief return array of constitutive results
|
|
!--------------------------------------------------------------------------------------------------
|
|
function plastic_phenopowerlaw_postResults(Mp,instance,of) result(postResults)
|
|
use math, only: &
|
|
math_mul33xx33
|
|
|
|
implicit none
|
|
real(pReal), dimension(3,3), intent(in) :: &
|
|
Mp !< Mandel stress
|
|
integer(pInt), intent(in) :: &
|
|
instance, &
|
|
of
|
|
|
|
real(pReal), dimension(sum(plastic_phenopowerlaw_sizePostResult(:,instance))) :: &
|
|
postResults
|
|
|
|
integer(pInt) :: &
|
|
o,c,i
|
|
real(pReal), dimension(param(instance)%totalNslip) :: &
|
|
gdot_slip_pos,gdot_slip_neg
|
|
|
|
c = 0_pInt
|
|
|
|
associate(prm => param(instance), stt => state(instance))
|
|
|
|
outputsLoop: do o = 1_pInt,size(prm%outputID)
|
|
select case(prm%outputID(o))
|
|
|
|
case (resistance_slip_ID)
|
|
postResults(c+1_pInt:c+prm%totalNslip) = stt%xi_slip(1:prm%totalNslip,of)
|
|
c = c + prm%totalNslip
|
|
case (accumulatedshear_slip_ID)
|
|
postResults(c+1_pInt:c+prm%totalNslip) = stt%gamma_slip(1:prm%totalNslip,of)
|
|
c = c + prm%totalNslip
|
|
case (shearrate_slip_ID)
|
|
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg)
|
|
postResults(c+1_pInt:c+prm%totalNslip) = gdot_slip_pos+gdot_slip_neg
|
|
c = c + prm%totalNslip
|
|
case (resolvedstress_slip_ID)
|
|
do i = 1_pInt, prm%totalNslip
|
|
postResults(c+i) = math_mul33xx33(Mp,prm%Schmid_slip(1:3,1:3,i))
|
|
enddo
|
|
c = c + prm%totalNslip
|
|
|
|
case (resistance_twin_ID)
|
|
postResults(c+1_pInt:c+prm%totalNtwin) = stt%xi_twin(1:prm%totalNtwin,of)
|
|
c = c + prm%totalNtwin
|
|
case (accumulatedshear_twin_ID)
|
|
postResults(c+1_pInt:c+prm%totalNtwin) = stt%gamma_twin(1:prm%totalNtwin,of)
|
|
c = c + prm%totalNtwin
|
|
case (shearrate_twin_ID)
|
|
call kinetics_twin(Mp,instance,of,postResults(c+1_pInt:c+prm%totalNtwin))
|
|
c = c + prm%totalNtwin
|
|
case (resolvedstress_twin_ID)
|
|
do i = 1_pInt, prm%totalNtwin
|
|
postResults(c+i) = math_mul33xx33(Mp,prm%Schmid_twin(1:3,1:3,i))
|
|
enddo
|
|
c = c + prm%totalNtwin
|
|
|
|
end select
|
|
enddo outputsLoop
|
|
|
|
end associate
|
|
|
|
end function plastic_phenopowerlaw_postResults
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief writes results to HDF5 output file
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine plastic_phenopowerlaw_results(instance,group)
|
|
#if defined(PETSc) || defined(DAMASKHDF5)
|
|
use results
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: instance
|
|
character(len=*) :: group
|
|
integer(pInt) :: o
|
|
|
|
associate(prm => param(instance), stt => state(instance))
|
|
outputsLoop: do o = 1_pInt,size(prm%outputID)
|
|
select case(prm%outputID(o))
|
|
case (resistance_slip_ID)
|
|
call results_writeVectorDataset(group,stt%xi_slip,'xi_slip','Pa')
|
|
case (accumulatedshear_slip_ID)
|
|
call results_writeVectorDataset(group,stt%gamma_slip,'gamma_slip','-')
|
|
end select
|
|
enddo outputsLoop
|
|
end associate
|
|
#else
|
|
integer(pInt), intent(in) :: instance
|
|
character(len=*) :: group
|
|
#endif
|
|
end subroutine plastic_phenopowerlaw_results
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief Shear rates on slip systems and their derivatives with respect to resolved stress
|
|
!> @details Derivatives are calculated only optionally.
|
|
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
|
|
! have the optional arguments at the end
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure subroutine kinetics_slip(Mp,instance,of, &
|
|
gdot_slip_pos,gdot_slip_neg,dgdot_dtau_slip_pos,dgdot_dtau_slip_neg)
|
|
use prec, only: &
|
|
dNeq0
|
|
use math, only: &
|
|
math_mul33xx33
|
|
|
|
implicit none
|
|
real(pReal), dimension(3,3), intent(in) :: &
|
|
Mp !< Mandel stress
|
|
integer(pInt), intent(in) :: &
|
|
instance, &
|
|
of
|
|
|
|
real(pReal), intent(out), dimension(param(instance)%totalNslip) :: &
|
|
gdot_slip_pos, &
|
|
gdot_slip_neg
|
|
real(pReal), intent(out), optional, dimension(param(instance)%totalNslip) :: &
|
|
dgdot_dtau_slip_pos, &
|
|
dgdot_dtau_slip_neg
|
|
|
|
real(pReal), dimension(param(instance)%totalNslip) :: &
|
|
tau_slip_pos, &
|
|
tau_slip_neg
|
|
integer(pInt) :: i
|
|
logical :: nonSchmidActive
|
|
|
|
associate(prm => param(instance), stt => state(instance))
|
|
|
|
nonSchmidActive = size(prm%nonSchmidCoeff) > 0_pInt
|
|
|
|
do i = 1_pInt, prm%totalNslip
|
|
tau_slip_pos(i) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i))
|
|
tau_slip_neg(i) = merge(math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,i)), &
|
|
0.0_pReal, nonSchmidActive)
|
|
enddo
|
|
|
|
where(dNeq0(tau_slip_pos))
|
|
gdot_slip_pos = prm%gdot0_slip * merge(0.5_pReal,1.0_pReal, nonSchmidActive) & ! 1/2 if non-Schmid active
|
|
* sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_slip, tau_slip_pos)
|
|
else where
|
|
gdot_slip_pos = 0.0_pReal
|
|
end where
|
|
|
|
where(dNeq0(tau_slip_neg))
|
|
gdot_slip_neg = prm%gdot0_slip * 0.5_pReal & ! only used if non-Schmid active, always 1/2
|
|
* sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_slip, tau_slip_neg)
|
|
else where
|
|
gdot_slip_neg = 0.0_pReal
|
|
end where
|
|
|
|
if (present(dgdot_dtau_slip_pos)) then
|
|
where(dNeq0(gdot_slip_pos))
|
|
dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos
|
|
else where
|
|
dgdot_dtau_slip_pos = 0.0_pReal
|
|
end where
|
|
endif
|
|
if (present(dgdot_dtau_slip_neg)) then
|
|
where(dNeq0(gdot_slip_neg))
|
|
dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg
|
|
else where
|
|
dgdot_dtau_slip_neg = 0.0_pReal
|
|
end where
|
|
endif
|
|
end associate
|
|
|
|
end subroutine kinetics_slip
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief Shear rates on twin systems and their derivatives with respect to resolved stress.
|
|
! twinning is assumed to take place only in untwinned volume.
|
|
!> @details Derivates are calculated only optionally.
|
|
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
|
|
! have the optional arguments at the end.
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure subroutine kinetics_twin(Mp,instance,of,&
|
|
gdot_twin,dgdot_dtau_twin)
|
|
use prec, only: &
|
|
dNeq0
|
|
use math, only: &
|
|
math_mul33xx33
|
|
|
|
implicit none
|
|
real(pReal), dimension(3,3), intent(in) :: &
|
|
Mp !< Mandel stress
|
|
integer(pInt), intent(in) :: &
|
|
instance, &
|
|
of
|
|
|
|
real(pReal), dimension(param(instance)%totalNtwin), intent(out) :: &
|
|
gdot_twin
|
|
real(pReal), dimension(param(instance)%totalNtwin), intent(out), optional :: &
|
|
dgdot_dtau_twin
|
|
|
|
real(pReal), dimension(param(instance)%totalNtwin) :: &
|
|
tau_twin
|
|
integer(pInt) :: i
|
|
|
|
associate(prm => param(instance), stt => state(instance))
|
|
|
|
do i = 1_pInt, prm%totalNtwin
|
|
tau_twin(i) = math_mul33xx33(Mp,prm%Schmid_twin(1:3,1:3,i))
|
|
enddo
|
|
|
|
where(tau_twin > 0.0_pReal)
|
|
gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)) & ! only twin in untwinned volume fraction
|
|
* prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin
|
|
else where
|
|
gdot_twin = 0.0_pReal
|
|
end where
|
|
|
|
if (present(dgdot_dtau_twin)) then
|
|
where(dNeq0(gdot_twin))
|
|
dgdot_dtau_twin = gdot_twin*prm%n_twin/tau_twin
|
|
else where
|
|
dgdot_dtau_twin = 0.0_pReal
|
|
end where
|
|
endif
|
|
|
|
end associate
|
|
|
|
end subroutine kinetics_twin
|
|
|
|
end module plastic_phenopowerlaw
|