528 lines
28 KiB
Fortran
528 lines
28 KiB
Fortran
! Copyright 2011-13 Max-Planck-Institut für Eisenforschung GmbH
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!
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! This file is part of DAMASK,
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! the Düsseldorf Advanced MAterial Simulation Kit.
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!
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! DAMASK is free software: you can redistribute it and/or modify
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! it under the terms of the GNU General Public License as published by
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! the Free Software Foundation, either version 3 of the License, or
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! (at your option) any later version.
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!
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! DAMASK is distributed in the hope that it will be useful,
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! but WITHOUT ANY WARRANTY; without even the implied warranty of
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! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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! GNU General Public License for more details.
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!
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! You should have received a copy of the GNU General Public License
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! along with DAMASK. If not, see <http://www.gnu.org/licenses/>.
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!
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!--------------------------------------------------------------------------------------------------
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! $Id$
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!--------------------------------------------------------------------------------------------------
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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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!> @brief material subroutine for isotropic (J2) plasticity
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!> @details Isotropic (J2) Plasticity which resembles the phenopowerlaw plasticity without
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!! resolving the stress on the slip systems. Will give the response of phenopowerlaw for an
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!! untextured polycrystal
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!--------------------------------------------------------------------------------------------------
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module constitutive_j2
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use prec, only: &
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pReal,&
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pInt
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implicit none
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private
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integer(pInt), dimension(:), allocatable, public, protected :: &
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constitutive_j2_sizeDotState, & !< number of dotStates
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constitutive_j2_sizeState, & !< total number of microstructural variables
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constitutive_j2_sizePostResults !< cumulative size of post results
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integer(pInt), dimension(:,:), allocatable, target, public :: &
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constitutive_j2_sizePostResult !< size of each post result output
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character(len=64), dimension(:,:), allocatable, target, public :: &
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constitutive_j2_output !< name of each post result output
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integer(pInt), dimension(:), allocatable, private :: &
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constitutive_j2_Noutput !< number of outputs per instance
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real(pReal), dimension(:), allocatable, private :: &
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constitutive_j2_fTaylor, & !< Taylor factor
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constitutive_j2_tau0, & !< initial plastic stress
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constitutive_j2_gdot0, & !< reference velocity
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constitutive_j2_n, & !< Visco-plastic parameter
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!--------------------------------------------------------------------------------------------------
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! h0 as function of h0 = A + B log (gammadot)
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constitutive_j2_h0, &
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constitutive_j2_h0_slopeLnRate, &
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constitutive_j2_tausat, & !< final plastic stress
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constitutive_j2_a, &
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constitutive_j2_aTolResistance, &
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!--------------------------------------------------------------------------------------------------
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! tausat += (asinh((gammadot / SinhFitA)**(1 / SinhFitD)))**(1 / SinhFitC) / (SinhFitB * (gammadot / gammadot0)**(1/n))
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constitutive_j2_tausat_SinhFitA, & !< fitting parameter for normalized strain rate vs. stress function
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constitutive_j2_tausat_SinhFitB, & !< fitting parameter for normalized strain rate vs. stress function
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constitutive_j2_tausat_SinhFitC, & !< fitting parameter for normalized strain rate vs. stress function
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constitutive_j2_tausat_SinhFitD !< fitting parameter for normalized strain rate vs. stress function
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enum, bind(c)
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enumerator :: undefined_ID, &
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flowstress_ID, &
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strainrate_ID
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end enum
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integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: &
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constitutive_j2_outputID !< ID of each post result output
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public :: &
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constitutive_j2_init, &
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constitutive_j2_stateInit, &
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constitutive_j2_aTolState, &
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constitutive_j2_LpAndItsTangent, &
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constitutive_j2_dotState, &
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constitutive_j2_postResults
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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 constitutive_j2_init(fileUnit)
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use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
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use debug, only: &
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debug_level, &
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debug_constitutive, &
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debug_levelBasic
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use math, only: &
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math_Mandel3333to66, &
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math_Voigt66to3333
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use IO, only: &
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IO_read, &
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IO_lc, &
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IO_getTag, &
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IO_isBlank, &
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IO_stringPos, &
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IO_stringValue, &
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IO_floatValue, &
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IO_error, &
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IO_timeStamp, &
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IO_EOF
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use material, only: &
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homogenization_maxNgrains, &
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phase_plasticity, &
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phase_plasticityInstance, &
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phase_Noutput, &
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PLASTICITY_J2_label, &
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PLASTICITY_J2_ID, &
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MATERIAL_partPhase
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use lattice
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implicit none
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integer(pInt), intent(in) :: fileUnit
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integer(pInt), parameter :: MAXNCHUNKS = 7_pInt
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integer(pInt), dimension(1_pInt+2_pInt*MAXNCHUNKS) :: positions
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integer(pInt) :: phase, maxNinstance, instance,o, mySize
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character(len=65536) :: &
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tag = '', &
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line = ''
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write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_J2_label//' init -+>>>'
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write(6,'(a)') ' $Id$'
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write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
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#include "compilation_info.f90"
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maxNinstance = int(count(phase_plasticity == PLASTICITY_J2_ID),pInt)
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if (maxNinstance == 0_pInt) return
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if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) &
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write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
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allocate(constitutive_j2_sizeDotState(maxNinstance), source=1_pInt)
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allocate(constitutive_j2_sizeState(maxNinstance), source=1_pInt)
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allocate(constitutive_j2_sizePostResults(maxNinstance), source=0_pInt)
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allocate(constitutive_j2_sizePostResult(maxval(phase_Noutput), maxNinstance),source=0_pInt)
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allocate(constitutive_j2_output(maxval(phase_Noutput), maxNinstance))
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constitutive_j2_output = ''
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allocate(constitutive_j2_outputID(maxval(phase_Noutput),maxNinstance), source=undefined_ID)
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allocate(constitutive_j2_Noutput(maxNinstance), source=0_pInt)
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allocate(constitutive_j2_fTaylor(maxNinstance), source=0.0_pReal)
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allocate(constitutive_j2_tau0(maxNinstance), source=0.0_pReal)
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allocate(constitutive_j2_gdot0(maxNinstance), source=0.0_pReal)
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allocate(constitutive_j2_n(maxNinstance), source=0.0_pReal)
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allocate(constitutive_j2_h0(maxNinstance), source=0.0_pReal)
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allocate(constitutive_j2_h0_slopeLnRate(maxNinstance), source=0.0_pReal)
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allocate(constitutive_j2_tausat(maxNinstance), source=0.0_pReal)
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allocate(constitutive_j2_a(maxNinstance), source=0.0_pReal)
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allocate(constitutive_j2_aTolResistance(maxNinstance), source=0.0_pReal)
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allocate(constitutive_j2_tausat_SinhFitA(maxNinstance), source=0.0_pReal)
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allocate(constitutive_j2_tausat_SinhFitB(maxNinstance), source=0.0_pReal)
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allocate(constitutive_j2_tausat_SinhFitC(maxNinstance), source=0.0_pReal)
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allocate(constitutive_j2_tausat_SinhFitD(maxNinstance), source=0.0_pReal)
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rewind(fileUnit)
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phase = 0_pInt
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do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= material_partPhase) ! wind forward to <phase>
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line = IO_read(fileUnit)
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enddo
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parsingFile: do while (trim(line) /= IO_EOF) ! read through sections of phase part
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line = IO_read(fileUnit)
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if (IO_isBlank(line)) cycle ! skip empty lines
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if (IO_getTag(line,'<','>') /= '') then ! stop at next part
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line = IO_read(fileUnit, .true.) ! reset IO_read
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exit
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endif
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if (IO_getTag(line,'[',']') /= '') then ! next section
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phase = phase + 1_pInt ! advance section counter
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if (phase_plasticity(phase) == PLASTICITY_J2_ID) then
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instance = phase_plasticityInstance(phase)
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endif
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cycle ! skip to next line
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endif
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if (phase > 0_pInt ) then; if (phase_plasticity(phase) == PLASTICITY_J2_ID) then ! one of my sections. Do not short-circuit here (.and. between if-statements), it's not safe in Fortran
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instance = phase_plasticityInstance(phase) ! which instance of my plasticity is present phase
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positions = IO_stringPos(line,MAXNCHUNKS)
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tag = IO_lc(IO_stringValue(line,positions,1_pInt)) ! extract key
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select case(tag)
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case ('plasticity','elasticity','lattice_structure', &
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'covera_ratio','c/a_ratio','c/a', &
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'c11','c12','c13','c22','c23','c33','c44','c55','c66')
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case ('(output)')
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constitutive_j2_Noutput(instance) = constitutive_j2_Noutput(instance) + 1_pInt
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constitutive_j2_output(constitutive_j2_Noutput(instance),instance) = &
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IO_lc(IO_stringValue(line,positions,2_pInt))
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select case(IO_lc(IO_stringValue(line,positions,2_pInt)))
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case ('flowstress')
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constitutive_j2_outputID(constitutive_j2_Noutput(instance),instance) = flowstress_ID
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case ('strainrate')
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constitutive_j2_outputID(constitutive_j2_Noutput(instance),instance) = strainrate_ID
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case default
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call IO_error(105_pInt,ext_msg=IO_stringValue(line,positions,2_pInt)//' ('//PLASTICITY_J2_label//')')
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end select
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case ('tau0')
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constitutive_j2_tau0(instance) = IO_floatValue(line,positions,2_pInt)
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if (constitutive_j2_tau0(instance) < 0.0_pReal) &
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call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
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case ('gdot0')
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constitutive_j2_gdot0(instance) = IO_floatValue(line,positions,2_pInt)
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if (constitutive_j2_gdot0(instance) <= 0.0_pReal) &
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call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
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case ('n')
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constitutive_j2_n(instance) = IO_floatValue(line,positions,2_pInt)
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if (constitutive_j2_n(instance) <= 0.0_pReal) &
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call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
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case ('h0')
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constitutive_j2_h0(instance) = IO_floatValue(line,positions,2_pInt)
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case ('h0_slope','slopelnrate')
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constitutive_j2_h0_slopeLnRate(instance) = IO_floatValue(line,positions,2_pInt)
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case ('tausat')
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constitutive_j2_tausat(instance) = IO_floatValue(line,positions,2_pInt)
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if (constitutive_j2_tausat(instance) <= 0.0_pReal) &
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call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
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case ('tausat_sinhfita')
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constitutive_j2_tausat_SinhFitA(instance) = IO_floatValue(line,positions,2_pInt)
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case ('tausat_sinhfitb')
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constitutive_j2_tausat_SinhFitB(instance) = IO_floatValue(line,positions,2_pInt)
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case ('tausat_sinhfitc')
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constitutive_j2_tausat_SinhFitC(instance) = IO_floatValue(line,positions,2_pInt)
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case ('tausat_sinhfitd')
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constitutive_j2_tausat_SinhFitD(instance) = IO_floatValue(line,positions,2_pInt)
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case ('a', 'w0')
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constitutive_j2_a(instance) = IO_floatValue(line,positions,2_pInt)
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if (constitutive_j2_a(instance) <= 0.0_pReal) &
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call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
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case ('taylorfactor')
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constitutive_j2_fTaylor(instance) = IO_floatValue(line,positions,2_pInt)
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if (constitutive_j2_fTaylor(instance) <= 0.0_pReal) &
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call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
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case ('atol_resistance')
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constitutive_j2_aTolResistance(instance) = IO_floatValue(line,positions,2_pInt)
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if (constitutive_j2_aTolResistance(instance) <= 0.0_pReal) &
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call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
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case default
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call IO_error(210_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')')
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end select
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endif; endif
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enddo parsingFile
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instancesLoop: do instance = 1_pInt,maxNinstance
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outputsLoop: do o = 1_pInt,constitutive_j2_Noutput(instance)
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select case(constitutive_j2_outputID(o,instance))
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case(flowstress_ID,strainrate_ID)
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mySize = 1_pInt
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case default
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end select
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if (mySize > 0_pInt) then ! any meaningful output found
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constitutive_j2_sizePostResult(o,instance) = mySize
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constitutive_j2_sizePostResults(instance) = &
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constitutive_j2_sizePostResults(instance) + mySize
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endif
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enddo outputsLoop
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enddo instancesLoop
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end subroutine constitutive_j2_init
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!--------------------------------------------------------------------------------------------------
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!> @brief sets the initial microstructural state for a given instance of this plasticity
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!> @details initial microstructural state is set to the value specified by tau0
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!--------------------------------------------------------------------------------------------------
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pure function constitutive_j2_stateInit(instance)
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implicit none
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real(pReal), dimension(1) :: constitutive_j2_stateInit
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integer(pInt), intent(in) :: instance !< number specifying the instance of the plasticity
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constitutive_j2_stateInit = constitutive_j2_tau0(instance)
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end function constitutive_j2_stateInit
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!--------------------------------------------------------------------------------------------------
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!> @brief sets the relevant state values for a given instance of this plasticity
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!--------------------------------------------------------------------------------------------------
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pure function constitutive_j2_aTolState(instance)
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implicit none
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real(pReal), dimension(1) :: constitutive_j2_aTolState
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integer(pInt), intent(in) :: instance !< number specifying the instance of the plasticity
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constitutive_j2_aTolState = constitutive_j2_aTolResistance(instance)
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end function constitutive_j2_aTolState
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates plastic velocity gradient and its tangent
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!--------------------------------------------------------------------------------------------------
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pure subroutine constitutive_j2_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,state,ipc,ip,el)
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use prec, only: &
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p_vec
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use math, only: &
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math_mul6x6, &
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math_Mandel6to33, &
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math_Plain3333to99, &
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math_deviatoric33, &
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math_mul33xx33
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use mesh, only: &
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mesh_NcpElems, &
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mesh_maxNips
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use material, only: &
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homogenization_maxNgrains, &
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material_phase, &
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phase_plasticityInstance
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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(9,9), intent(out) :: &
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dLp_dTstar99 !< derivative of Lp with respect to 2nd Piola Kirchhoff stress
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real(pReal), dimension(6), intent(in) :: &
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Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
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integer(pInt), intent(in) :: &
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ipc, & !< component-ID of integration point
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ip, & !< integration point
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el !< element
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type(p_vec), intent(in) :: &
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state !< microstructure state
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real(pReal), dimension(3,3) :: &
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Tstar_dev_33 !< deviatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor
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real(pReal), dimension(3,3,3,3) :: &
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dLp_dTstar_3333 !< derivative of Lp with respect to Tstar as 4th order tensor
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real(pReal) :: &
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gamma_dot, & !< strainrate
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norm_Tstar_dev, & !< euclidean norm of Tstar_dev
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squarenorm_Tstar_dev !< square of the euclidean norm of Tstar_dev
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integer(pInt) :: &
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instance, &
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k, l, m, n
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instance = phase_plasticityInstance(material_phase(ipc,ip,el))
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Tstar_dev_33 = math_deviatoric33(math_Mandel6to33(Tstar_v)) ! deviatoric part of 2nd Piola-Kirchhoff stress
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squarenorm_Tstar_dev = math_mul33xx33(Tstar_dev_33,Tstar_dev_33)
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norm_Tstar_dev = sqrt(squarenorm_Tstar_dev)
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if (norm_Tstar_dev <= 0.0_pReal) then ! Tstar == 0 --> both Lp and dLp_dTstar are zero
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Lp = 0.0_pReal
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dLp_dTstar99 = 0.0_pReal
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else
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gamma_dot = constitutive_j2_gdot0(instance) &
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* (sqrt(1.5_pReal) * norm_Tstar_dev / constitutive_j2_fTaylor(instance) / state%p(1)) &
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**constitutive_j2_n(instance)
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Lp = Tstar_dev_33/norm_Tstar_dev * gamma_dot/constitutive_j2_fTaylor(instance)
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!--------------------------------------------------------------------------------------------------
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! Calculation of the tangent of Lp
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLp_dTstar_3333(k,l,m,n) = (constitutive_j2_n(instance)-1.0_pReal) * &
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Tstar_dev_33(k,l)*Tstar_dev_33(m,n) / squarenorm_Tstar_dev
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) &
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dLp_dTstar_3333(k,l,k,l) = dLp_dTstar_3333(k,l,k,l) + 1.0_pReal
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forall (k=1_pInt:3_pInt,m=1_pInt:3_pInt) &
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dLp_dTstar_3333(k,k,m,m) = dLp_dTstar_3333(k,k,m,m) - 1.0_pReal/3.0_pReal
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dLp_dTstar99 = math_Plain3333to99(gamma_dot / constitutive_j2_fTaylor(instance) * &
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dLp_dTstar_3333 / norm_Tstar_dev)
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end if
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end subroutine constitutive_j2_LpAndItsTangent
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates the rate of change of microstructure
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!--------------------------------------------------------------------------------------------------
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pure function constitutive_j2_dotState(Tstar_v,state,ipc,ip,el)
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use prec, only: &
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p_vec
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use math, only: &
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math_mul6x6
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use mesh, only: &
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mesh_NcpElems, &
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mesh_maxNips
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use material, only: &
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homogenization_maxNgrains, &
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|
material_phase, &
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phase_plasticityInstance
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|
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|
implicit none
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|
real(pReal), dimension(1) :: &
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|
constitutive_j2_dotState
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|
real(pReal), dimension(6), intent(in):: &
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|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
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|
integer(pInt), intent(in) :: &
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|
ipc, & !< component-ID of integration point
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|
ip, & !< integration point
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|
el !< element
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|
type(p_vec), intent(in) :: &
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|
state !< microstructure state
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|
|
|
real(pReal), dimension(6) :: &
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|
Tstar_dev_v !< deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
real(pReal) :: &
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|
gamma_dot, & !< strainrate
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|
hardening, & !< hardening coefficient
|
|
saturation, & !< saturation resistance
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|
norm_Tstar_dev !< euclidean norm of Tstar_dev
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|
integer(pInt) :: &
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|
instance
|
|
|
|
instance = phase_plasticityInstance(material_phase(ipc,ip,el))
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|
!--------------------------------------------------------------------------------------------------
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|
! norm of deviatoric part of 2nd Piola-Kirchhoff stress
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|
Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal
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Tstar_dev_v(4:6) = Tstar_v(4:6)
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|
norm_Tstar_dev = sqrt(math_mul6x6(Tstar_dev_v,Tstar_dev_v))
|
|
|
|
!--------------------------------------------------------------------------------------------------
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|
! strain rate
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|
gamma_dot = constitutive_j2_gdot0(instance) * ( sqrt(1.5_pReal) * norm_Tstar_dev &
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|
/ &!-----------------------------------------------------------------------------------
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|
(constitutive_j2_fTaylor(instance) * state%p(1)) ) ** constitutive_j2_n(instance)
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! hardening coefficient
|
|
if (abs(gamma_dot) > 1e-12_pReal) then
|
|
if (constitutive_j2_tausat_SinhFitA(instance) == 0.0_pReal) then
|
|
saturation = constitutive_j2_tausat(instance)
|
|
else
|
|
saturation = ( constitutive_j2_tausat(instance) &
|
|
+ ( log( ( gamma_dot / constitutive_j2_tausat_SinhFitA(instance)&
|
|
)**(1.0_pReal / constitutive_j2_tausat_SinhFitD(instance))&
|
|
+ sqrt( ( gamma_dot / constitutive_j2_tausat_SinhFitA(instance) &
|
|
)**(2.0_pReal / constitutive_j2_tausat_SinhFitD(instance)) &
|
|
+ 1.0_pReal ) &
|
|
) & ! asinh(K) = ln(K + sqrt(K^2 +1))
|
|
)**(1.0_pReal / constitutive_j2_tausat_SinhFitC(instance)) &
|
|
/ ( constitutive_j2_tausat_SinhFitB(instance) &
|
|
* (gamma_dot / constitutive_j2_gdot0(instance))**(1.0_pReal / constitutive_j2_n(instance)) &
|
|
) &
|
|
)
|
|
endif
|
|
hardening = ( constitutive_j2_h0(instance) + constitutive_j2_h0_slopeLnRate(instance) * log(gamma_dot) ) &
|
|
* abs( 1.0_pReal - state%p(1)/saturation )**constitutive_j2_a(instance) &
|
|
* sign(1.0_pReal, 1.0_pReal - state%p(1)/saturation)
|
|
else
|
|
hardening = 0.0_pReal
|
|
endif
|
|
|
|
constitutive_j2_dotState = hardening * gamma_dot
|
|
|
|
end function constitutive_j2_dotState
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief return array of constitutive results
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure function constitutive_j2_postResults(Tstar_v,state,ipc,ip,el)
|
|
use prec, only: &
|
|
p_vec
|
|
use math, only: &
|
|
math_mul6x6
|
|
use mesh, only: &
|
|
mesh_NcpElems, &
|
|
mesh_maxNips
|
|
use material, only: &
|
|
homogenization_maxNgrains, &
|
|
material_phase, &
|
|
phase_plasticityInstance, &
|
|
phase_Noutput
|
|
|
|
implicit none
|
|
real(pReal), dimension(6), intent(in) :: &
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< component-ID of integration point
|
|
ip, & !< integration point
|
|
el !< element
|
|
type(p_vec), intent(in) :: &
|
|
state !< microstructure state
|
|
|
|
real(pReal), dimension(constitutive_j2_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
|
constitutive_j2_postResults
|
|
|
|
real(pReal), dimension(6) :: &
|
|
Tstar_dev_v ! deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
real(pReal) :: &
|
|
norm_Tstar_dev ! euclidean norm of Tstar_dev
|
|
integer(pInt) :: &
|
|
instance, &
|
|
o, &
|
|
c
|
|
|
|
instance = phase_plasticityInstance(material_phase(ipc,ip,el))
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! calculate deviatoric part of 2nd Piola-Kirchhoff stress and its norm
|
|
Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal
|
|
Tstar_dev_v(4:6) = Tstar_v(4:6)
|
|
norm_Tstar_dev = sqrt(math_mul6x6(Tstar_dev_v,Tstar_dev_v))
|
|
|
|
c = 0_pInt
|
|
constitutive_j2_postResults = 0.0_pReal
|
|
|
|
outputsLoop: do o = 1_pInt,phase_Noutput(material_phase(ipc,ip,el))
|
|
select case(constitutive_j2_outputID(o,instance))
|
|
case (flowstress_ID)
|
|
constitutive_j2_postResults(c+1_pInt) = state%p(1)
|
|
c = c + 1_pInt
|
|
case (strainrate_ID)
|
|
constitutive_j2_postResults(c+1_pInt) = &
|
|
constitutive_j2_gdot0(instance) * ( sqrt(1.5_pReal) * norm_Tstar_dev &
|
|
/ &!----------------------------------------------------------------------------------
|
|
(constitutive_j2_fTaylor(instance) * state%p(1)) ) ** constitutive_j2_n(instance)
|
|
c = c + 1_pInt
|
|
end select
|
|
enddo outputsLoop
|
|
|
|
end function constitutive_j2_postResults
|
|
|
|
end module constitutive_j2
|