894 lines
44 KiB
Fortran
894 lines
44 KiB
Fortran
! Copyright 2011 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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!* Module: CONSTITUTIVE *
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!************************************
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!* contains: *
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!* - constitutive equations *
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!* - parameters definition *
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!************************************
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MODULE constitutive
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use prec, only: pInt, p_vec
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implicit none
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type(p_vec), dimension(:,:,:), allocatable :: &
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constitutive_state0, & ! pointer array to microstructure at start of FE inc
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constitutive_partionedState0, & ! pointer array to microstructure at start of homogenization inc
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constitutive_subState0, & ! pointer array to microstructure at start of crystallite inc
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constitutive_state, & ! pointer array to current microstructure (end of converged time step)
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constitutive_state_backup, & ! pointer array to backed up microstructure (end of converged time step)
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constitutive_dotState, & ! pointer array to evolution of current microstructure
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constitutive_previousDotState,& ! pointer array to previous evolution of current microstructure
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constitutive_previousDotState2,& ! pointer array to 2nd previous evolution of current microstructure
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constitutive_dotState_backup, & ! pointer array to backed up evolution of current microstructure
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constitutive_RK4dotState, & ! pointer array to evolution of microstructure defined by classical Runge-Kutta method
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constitutive_aTolState ! pointer array to absolute state tolerance
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type(p_vec), dimension(:,:,:,:), allocatable :: &
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constitutive_RKCK45dotState ! pointer array to evolution of microstructure used by Cash-Karp Runge-Kutta method
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integer(pInt), dimension(:,:,:), allocatable :: &
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constitutive_sizeDotState, & ! size of dotState array
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constitutive_sizeState, & ! size of state array per grain
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constitutive_sizePostResults ! size of postResults array per grain
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integer(pInt) :: &
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constitutive_maxSizeDotState, &
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constitutive_maxSizeState, &
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constitutive_maxSizePostResults
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character (len=*), parameter, public :: constitutive_hooke_label = 'hooke'
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contains
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!****************************************
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!* - constitutive_init
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!* - constitutive_homogenizedC
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!* - constitutive_averageBurgers
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!* - constitutive_microstructure
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!* - constitutive_LpAndItsTangent
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!* - constitutive_collectDotState
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!* - constitutive_collectDotTemperature
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!* - constitutive_postResults
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!* - constitutive_TandItsTangent
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!* - constitutive_hooke_TandItsTangent
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!****************************************
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!**************************************
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!* Module initialization *
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!**************************************
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subroutine constitutive_init
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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: debug_what, &
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debug_constitutive, &
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debug_levelBasic
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use numerics, only: numerics_integrator
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use IO, only: IO_error, &
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IO_open_file, &
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IO_open_jobFile_stat, &
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IO_write_jobFile
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use mesh, only: mesh_maxNips, &
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mesh_NcpElems, &
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mesh_element,FE_Nips
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use material, only: material_phase, &
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material_Nphase, &
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material_localFileExt, &
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material_configFile, &
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phase_name, &
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phase_plasticity, &
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phase_plasticityInstance, &
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phase_Noutput, &
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homogenization_Ngrains, &
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homogenization_maxNgrains
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use constitutive_j2
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use constitutive_phenopowerlaw
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use constitutive_titanmod
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use constitutive_dislotwin
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use constitutive_nonlocal
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implicit none
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integer(pInt), parameter :: fileunit = 200_pInt
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integer(pInt) g, & ! grain number
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i, & ! integration point number
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e, & ! element number
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gMax, & ! maximum number of grains
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iMax, & ! maximum number of integration points
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eMax, & ! maximum number of elements
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p, &
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s, &
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myInstance,&
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myNgrains
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integer(pInt), dimension(:,:), pointer :: thisSize
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character(len=64), dimension(:,:), pointer :: thisOutput
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logical :: knownPlasticity
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! --- PARSE PLASTICITIES FROM CONFIG FILE ---
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if (.not. IO_open_jobFile_stat(fileunit,material_localFileExt)) then ! no local material configuration present...
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call IO_open_file(fileunit,material_configFile) ! ... open material.config file
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endif
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call constitutive_j2_init(fileunit)
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call constitutive_phenopowerlaw_init(fileunit)
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call constitutive_titanmod_init(fileunit)
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call constitutive_dislotwin_init(fileunit)
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call constitutive_nonlocal_init(fileunit)
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close(fileunit)
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! --- WRITE DESCRIPTION FILE FOR CONSTITUTIVE PHASE OUTPUT ---
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call IO_write_jobFile(fileunit,'outputConstitutive')
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do p = 1_pInt,material_Nphase
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i = phase_plasticityInstance(p) ! which instance of a plasticity is present phase
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knownPlasticity = .true. ! assume valid
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select case(phase_plasticity(p)) ! split per constitiution
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case (constitutive_j2_label)
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thisOutput => constitutive_j2_output
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thisSize => constitutive_j2_sizePostResult
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case (constitutive_phenopowerlaw_label)
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thisOutput => constitutive_phenopowerlaw_output
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thisSize => constitutive_phenopowerlaw_sizePostResult
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case (constitutive_titanmod_label)
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thisOutput => constitutive_titanmod_output
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thisSize => constitutive_titanmod_sizePostResult
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case (constitutive_dislotwin_label)
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thisOutput => constitutive_dislotwin_output
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thisSize => constitutive_dislotwin_sizePostResult
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case (constitutive_nonlocal_label)
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thisOutput => constitutive_nonlocal_output
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thisSize => constitutive_nonlocal_sizePostResult
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case default
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knownPlasticity = .false.
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end select
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write(fileunit,*)
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write(fileunit,'(a)') '['//trim(phase_name(p))//']'
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write(fileunit,*)
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if (knownPlasticity) then
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write(fileunit,'(a)') '(plasticity)'//char(9)//trim(phase_plasticity(p))
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do e = 1_pInt,phase_Noutput(p)
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write(fileunit,'(a,i4)') trim(thisOutput(e,i))//char(9),thisSize(e,i)
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enddo
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endif
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enddo
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close(fileunit)
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! --- ALLOCATION OF STATES ---
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gMax = homogenization_maxNgrains
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iMax = mesh_maxNips
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eMax = mesh_NcpElems
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allocate(constitutive_state0(gMax,iMax,eMax))
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allocate(constitutive_partionedState0(gMax,iMax,eMax))
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allocate(constitutive_subState0(gMax,iMax,eMax))
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allocate(constitutive_state(gMax,iMax,eMax))
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allocate(constitutive_state_backup(gMax,iMax,eMax))
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allocate(constitutive_dotState(gMax,iMax,eMax))
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allocate(constitutive_dotState_backup(gMax,iMax,eMax))
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allocate(constitutive_aTolState(gMax,iMax,eMax))
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allocate(constitutive_sizeDotState(gMax,iMax,eMax)) ; constitutive_sizeDotState = 0_pInt
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allocate(constitutive_sizeState(gMax,iMax,eMax)) ; constitutive_sizeState = 0_pInt
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allocate(constitutive_sizePostResults(gMax,iMax,eMax)); constitutive_sizePostResults = 0_pInt
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if (any(numerics_integrator == 1_pInt)) then
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allocate(constitutive_previousDotState(gMax,iMax,eMax))
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allocate(constitutive_previousDotState2(gMax,iMax,eMax))
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endif
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if (any(numerics_integrator == 4_pInt)) then
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allocate(constitutive_RK4dotState(gMax,iMax,eMax))
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endif
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if (any(numerics_integrator == 5_pInt)) then
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allocate(constitutive_RKCK45dotState(6,gMax,iMax,eMax))
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endif
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!$OMP PARALLEL DO PRIVATE(myNgrains,myInstance)
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do e = 1_pInt,mesh_NcpElems ! loop over elements
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myNgrains = homogenization_Ngrains(mesh_element(3,e))
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do i = 1_pInt,FE_Nips(mesh_element(2,e)) ! loop over IPs
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do g = 1_pInt,myNgrains ! loop over grains
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myInstance = phase_plasticityInstance(material_phase(g,i,e))
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select case(phase_plasticity(material_phase(g,i,e)))
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case (constitutive_j2_label)
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allocate(constitutive_state0(g,i,e)%p(constitutive_j2_sizeState(myInstance)))
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allocate(constitutive_partionedState0(g,i,e)%p(constitutive_j2_sizeState(myInstance)))
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allocate(constitutive_subState0(g,i,e)%p(constitutive_j2_sizeState(myInstance)))
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allocate(constitutive_state(g,i,e)%p(constitutive_j2_sizeState(myInstance)))
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allocate(constitutive_state_backup(g,i,e)%p(constitutive_j2_sizeState(myInstance)))
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allocate(constitutive_aTolState(g,i,e)%p(constitutive_j2_sizeState(myInstance)))
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allocate(constitutive_dotState(g,i,e)%p(constitutive_j2_sizeDotState(myInstance)))
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allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_j2_sizeDotState(myInstance)))
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if (any(numerics_integrator == 1_pInt)) then
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allocate(constitutive_previousDotState(g,i,e)%p(constitutive_j2_sizeDotState(myInstance)))
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allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_j2_sizeDotState(myInstance)))
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endif
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if (any(numerics_integrator == 4_pInt)) then
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allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_j2_sizeDotState(myInstance)))
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endif
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if (any(numerics_integrator == 5_pInt)) then
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do s = 1_pInt,6_pInt
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allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_j2_sizeDotState(myInstance)))
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enddo
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endif
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constitutive_state0(g,i,e)%p = constitutive_j2_stateInit(myInstance)
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constitutive_aTolState(g,i,e)%p = constitutive_j2_aTolState(myInstance)
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constitutive_sizeState(g,i,e) = constitutive_j2_sizeState(myInstance)
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constitutive_sizeDotState(g,i,e) = constitutive_j2_sizeDotState(myInstance)
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constitutive_sizePostResults(g,i,e) = constitutive_j2_sizePostResults(myInstance)
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case (constitutive_phenopowerlaw_label)
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allocate(constitutive_state0(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance)))
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allocate(constitutive_partionedState0(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance)))
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allocate(constitutive_subState0(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance)))
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allocate(constitutive_state(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance)))
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allocate(constitutive_state_backup(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance)))
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allocate(constitutive_aTolState(g,i,e)%p(constitutive_phenopowerlaw_sizeState(myInstance)))
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allocate(constitutive_dotState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance)))
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allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance)))
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if (any(numerics_integrator == 1_pInt)) then
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allocate(constitutive_previousDotState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance)))
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allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance)))
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endif
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if (any(numerics_integrator == 4_pInt)) then
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allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance)))
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endif
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if (any(numerics_integrator == 5_pInt)) then
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do s = 1_pInt,6_pInt
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allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(myInstance)))
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enddo
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endif
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constitutive_state0(g,i,e)%p = constitutive_phenopowerlaw_stateInit(myInstance)
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constitutive_aTolState(g,i,e)%p = constitutive_phenopowerlaw_aTolState(myInstance)
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constitutive_sizeState(g,i,e) = constitutive_phenopowerlaw_sizeState(myInstance)
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constitutive_sizeDotState(g,i,e) = constitutive_phenopowerlaw_sizeDotState(myInstance)
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constitutive_sizePostResults(g,i,e) = constitutive_phenopowerlaw_sizePostResults(myInstance)
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case (constitutive_titanmod_label)
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allocate(constitutive_state0(g,i,e)%p(constitutive_titanmod_sizeState(myInstance)))
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allocate(constitutive_partionedState0(g,i,e)%p(constitutive_titanmod_sizeState(myInstance)))
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allocate(constitutive_subState0(g,i,e)%p(constitutive_titanmod_sizeState(myInstance)))
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allocate(constitutive_state(g,i,e)%p(constitutive_titanmod_sizeState(myInstance)))
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allocate(constitutive_state_backup(g,i,e)%p(constitutive_titanmod_sizeState(myInstance)))
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allocate(constitutive_aTolState(g,i,e)%p(constitutive_titanmod_sizeState(myInstance)))
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allocate(constitutive_dotState(g,i,e)%p(constitutive_titanmod_sizeDotState(myInstance)))
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allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_titanmod_sizeDotState(myInstance)))
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if (any(numerics_integrator == 1_pInt)) then
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allocate(constitutive_previousDotState(g,i,e)%p(constitutive_titanmod_sizeDotState(myInstance)))
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allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_titanmod_sizeDotState(myInstance)))
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endif
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if (any(numerics_integrator == 4_pInt)) then
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allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_titanmod_sizeDotState(myInstance)))
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endif
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if (any(numerics_integrator == 5_pInt)) then
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do s = 1_pInt,6_pInt
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allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_titanmod_sizeDotState(myInstance)))
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enddo
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endif
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constitutive_state0(g,i,e)%p = constitutive_titanmod_stateInit(myInstance)
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constitutive_aTolState(g,i,e)%p = constitutive_titanmod_aTolState(myInstance)
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constitutive_sizeState(g,i,e) = constitutive_titanmod_sizeState(myInstance)
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constitutive_sizeDotState(g,i,e) = constitutive_titanmod_sizeDotState(myInstance)
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constitutive_sizePostResults(g,i,e) = constitutive_titanmod_sizePostResults(myInstance)
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case (constitutive_dislotwin_label)
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allocate(constitutive_state0(g,i,e)%p(constitutive_dislotwin_sizeState(myInstance)))
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allocate(constitutive_partionedState0(g,i,e)%p(constitutive_dislotwin_sizeState(myInstance)))
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allocate(constitutive_subState0(g,i,e)%p(constitutive_dislotwin_sizeState(myInstance)))
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allocate(constitutive_state(g,i,e)%p(constitutive_dislotwin_sizeState(myInstance)))
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allocate(constitutive_state_backup(g,i,e)%p(constitutive_dislotwin_sizeState(myInstance)))
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allocate(constitutive_aTolState(g,i,e)%p(constitutive_dislotwin_sizeState(myInstance)))
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allocate(constitutive_dotState(g,i,e)%p(constitutive_dislotwin_sizeDotState(myInstance)))
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allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_dislotwin_sizeDotState(myInstance)))
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if (any(numerics_integrator == 1_pInt)) then
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allocate(constitutive_previousDotState(g,i,e)%p(constitutive_dislotwin_sizeDotState(myInstance)))
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allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_dislotwin_sizeDotState(myInstance)))
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endif
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if (any(numerics_integrator == 4_pInt)) then
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allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_dislotwin_sizeDotState(myInstance)))
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endif
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if (any(numerics_integrator == 5_pInt)) then
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do s = 1_pInt,6_pInt
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allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_dislotwin_sizeDotState(myInstance)))
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enddo
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endif
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constitutive_state0(g,i,e)%p = constitutive_dislotwin_stateInit(myInstance)
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constitutive_aTolState(g,i,e)%p = constitutive_dislotwin_aTolState(myInstance)
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constitutive_sizeState(g,i,e) = constitutive_dislotwin_sizeState(myInstance)
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constitutive_sizeDotState(g,i,e) = constitutive_dislotwin_sizeDotState(myInstance)
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constitutive_sizePostResults(g,i,e) = constitutive_dislotwin_sizePostResults(myInstance)
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case (constitutive_nonlocal_label)
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allocate(constitutive_state0(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance)))
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allocate(constitutive_partionedState0(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance)))
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allocate(constitutive_subState0(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance)))
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allocate(constitutive_state(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance)))
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allocate(constitutive_state_backup(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance)))
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allocate(constitutive_aTolState(g,i,e)%p(constitutive_nonlocal_sizeState(myInstance)))
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allocate(constitutive_dotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance)))
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allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance)))
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if (any(numerics_integrator == 1_pInt)) then
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allocate(constitutive_previousDotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance)))
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allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance)))
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endif
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if (any(numerics_integrator == 4_pInt)) then
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allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance)))
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endif
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if (any(numerics_integrator == 5_pInt)) then
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do s = 1_pInt,6_pInt
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allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_nonlocal_sizeDotState(myInstance)))
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enddo
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endif
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constitutive_state0(g,i,e)%p = constitutive_nonlocal_stateInit(myInstance)
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constitutive_aTolState(g,i,e)%p = constitutive_nonlocal_aTolState(myInstance)
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constitutive_sizeState(g,i,e) = constitutive_nonlocal_sizeState(myInstance)
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constitutive_sizeDotState(g,i,e) = constitutive_nonlocal_sizeDotState(myInstance)
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constitutive_sizePostResults(g,i,e) = constitutive_nonlocal_sizePostResults(myInstance)
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case default
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call IO_error(200_pInt,material_phase(g,i,e)) ! unknown plasticity
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end select
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constitutive_partionedState0(g,i,e)%p = constitutive_state0(g,i,e)%p
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constitutive_state(g,i,e)%p = constitutive_state0(g,i,e)%p ! need to be defined for first call of constitutive_microstructure in crystallite_init
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enddo
|
|
enddo
|
|
enddo
|
|
!$OMP END PARALLEL DO
|
|
|
|
constitutive_maxSizeState = maxval(constitutive_sizeState)
|
|
constitutive_maxSizeDotState = maxval(constitutive_sizeDotState)
|
|
constitutive_maxSizePostResults = maxval(constitutive_sizePostResults)
|
|
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*)
|
|
write(6,*) '<<<+- constitutive init -+>>>'
|
|
write(6,*) '$Id$'
|
|
#include "compilation_info.f90"
|
|
if (iand(debug_what(debug_constitutive),debug_levelBasic) /= 0_pInt) then
|
|
write(6,'(a32,1x,7(i8,1x))') 'constitutive_state0: ', shape(constitutive_state0)
|
|
write(6,'(a32,1x,7(i8,1x))') 'constitutive_partionedState0: ', shape(constitutive_partionedState0)
|
|
write(6,'(a32,1x,7(i8,1x))') 'constitutive_subState0: ', shape(constitutive_subState0)
|
|
write(6,'(a32,1x,7(i8,1x))') 'constitutive_state: ', shape(constitutive_state)
|
|
write(6,'(a32,1x,7(i8,1x))') 'constitutive_aTolState: ', shape(constitutive_aTolState)
|
|
write(6,'(a32,1x,7(i8,1x))') 'constitutive_dotState: ', shape(constitutive_dotState)
|
|
write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizeState: ', shape(constitutive_sizeState)
|
|
write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizeDotState: ', shape(constitutive_sizeDotState)
|
|
write(6,'(a32,1x,7(i8,1x))') 'constitutive_sizePostResults: ', shape(constitutive_sizePostResults)
|
|
write(6,*)
|
|
write(6,'(a32,1x,7(i8,1x))') 'maxSizeState: ', constitutive_maxSizeState
|
|
write(6,'(a32,1x,7(i8,1x))') 'maxSizeDotState: ', constitutive_maxSizeDotState
|
|
write(6,'(a32,1x,7(i8,1x))') 'maxSizePostResults: ', constitutive_maxSizePostResults
|
|
endif
|
|
call flush(6)
|
|
!$OMP END CRITICAL (write2out)
|
|
|
|
endsubroutine
|
|
|
|
|
|
function constitutive_homogenizedC(ipc,ip,el)
|
|
!*********************************************************************
|
|
!* This function returns the homogenized elacticity matrix *
|
|
!* INPUT: *
|
|
!* - state : state variables *
|
|
!* - ipc : component-ID of current integration point *
|
|
!* - ip : current integration point *
|
|
!* - el : current element *
|
|
!*********************************************************************
|
|
use prec, only: pReal
|
|
use material, only: phase_plasticity,material_phase
|
|
use constitutive_j2
|
|
use constitutive_phenopowerlaw
|
|
use constitutive_titanmod
|
|
use constitutive_dislotwin
|
|
use constitutive_nonlocal
|
|
|
|
implicit none
|
|
integer(pInt) :: ipc,ip,el
|
|
real(pReal), dimension(6,6) :: constitutive_homogenizedC
|
|
|
|
select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
|
|
case (constitutive_j2_label)
|
|
constitutive_homogenizedC = constitutive_j2_homogenizedC(constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_phenopowerlaw_label)
|
|
constitutive_homogenizedC = constitutive_phenopowerlaw_homogenizedC(constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_titanmod_label)
|
|
constitutive_homogenizedC = constitutive_titanmod_homogenizedC(constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_dislotwin_label)
|
|
constitutive_homogenizedC = constitutive_dislotwin_homogenizedC(constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_nonlocal_label)
|
|
constitutive_homogenizedC = constitutive_nonlocal_homogenizedC(constitutive_state,ipc,ip,el)
|
|
|
|
end select
|
|
|
|
return
|
|
endfunction
|
|
|
|
function constitutive_averageBurgers(ipc,ip,el)
|
|
!*********************************************************************
|
|
!* This function returns the average length of Burgers vector *
|
|
!* INPUT: *
|
|
!* - state : state variables *
|
|
!* - ipc : component-ID of current integration point *
|
|
!* - ip : current integration point *
|
|
!* - el : current element *
|
|
!*********************************************************************
|
|
use prec, only: pReal
|
|
use material, only: phase_plasticity,material_phase
|
|
use constitutive_j2
|
|
use constitutive_phenopowerlaw
|
|
use constitutive_titanmod
|
|
use constitutive_dislotwin
|
|
use constitutive_nonlocal
|
|
|
|
implicit none
|
|
integer(pInt) :: ipc,ip,el
|
|
real(pReal) :: constitutive_averageBurgers
|
|
|
|
select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
|
|
case (constitutive_j2_label)
|
|
constitutive_averageBurgers = 2.5e-10_pReal !constitutive_j2_averageBurgers(constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_phenopowerlaw_label)
|
|
constitutive_averageBurgers = 2.5e-10_pReal !constitutive_phenopowerlaw_averageBurgers(constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_titanmod_label)
|
|
constitutive_averageBurgers = 2.5e-10_pReal !constitutive_titanmod_averageBurgers(constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_dislotwin_label)
|
|
constitutive_averageBurgers = 2.5e-10_pReal !constitutive_dislotwin_averageBurgers(constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_nonlocal_label)
|
|
constitutive_averageBurgers = 2.5e-10_pReal !constitutive_nonlocal_averageBurgers(constitutive_state,ipc,ip,el)
|
|
|
|
end select
|
|
|
|
return
|
|
endfunction
|
|
|
|
|
|
|
|
!*********************************************************************
|
|
!* This function calculates from state needed variables *
|
|
!*********************************************************************
|
|
subroutine constitutive_microstructure(Temperature, Fe, Fp, ipc, ip, el)
|
|
use prec, only: pReal
|
|
use material, only: phase_plasticity, &
|
|
material_phase
|
|
use constitutive_j2, only: constitutive_j2_label, &
|
|
constitutive_j2_microstructure
|
|
use constitutive_phenopowerlaw, only: constitutive_phenopowerlaw_label, &
|
|
constitutive_phenopowerlaw_microstructure
|
|
use constitutive_titanmod, only: constitutive_titanmod_label, &
|
|
constitutive_titanmod_microstructure
|
|
use constitutive_dislotwin, only: constitutive_dislotwin_label, &
|
|
constitutive_dislotwin_microstructure
|
|
use constitutive_nonlocal, only: constitutive_nonlocal_label, &
|
|
constitutive_nonlocal_microstructure
|
|
|
|
implicit none
|
|
!*** input variables ***!
|
|
integer(pInt), intent(in):: ipc, & ! component-ID of current integration point
|
|
ip, & ! current integration point
|
|
el ! current element
|
|
real(pReal), intent(in) :: Temperature
|
|
real(pReal), dimension(3,3), intent(in) :: Fe, & ! elastic deformation gradient
|
|
Fp ! plastic deformation gradient
|
|
|
|
!*** output variables ***!
|
|
|
|
!*** local variables ***!
|
|
|
|
|
|
select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
|
|
case (constitutive_j2_label)
|
|
call constitutive_j2_microstructure(Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_phenopowerlaw_label)
|
|
call constitutive_phenopowerlaw_microstructure(Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_titanmod_label)
|
|
call constitutive_titanmod_microstructure(Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_dislotwin_label)
|
|
call constitutive_dislotwin_microstructure(Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_nonlocal_label)
|
|
call constitutive_nonlocal_microstructure(constitutive_state, Temperature, Fe, Fp, ipc, ip, el)
|
|
|
|
end select
|
|
|
|
endsubroutine
|
|
|
|
|
|
|
|
!*********************************************************************
|
|
!* This subroutine contains the constitutive equation for *
|
|
!* calculating the velocity gradient *
|
|
!*********************************************************************
|
|
subroutine constitutive_LpAndItsTangent(Lp, dLp_dTstar, Tstar_v, Temperature, ipc, ip, el)
|
|
|
|
use prec, only: pReal
|
|
use material, only: phase_plasticity, &
|
|
material_phase
|
|
use constitutive_j2, only: constitutive_j2_label, &
|
|
constitutive_j2_LpAndItsTangent
|
|
use constitutive_phenopowerlaw, only: constitutive_phenopowerlaw_label, &
|
|
constitutive_phenopowerlaw_LpAndItsTangent
|
|
use constitutive_titanmod, only: constitutive_titanmod_label, &
|
|
constitutive_titanmod_LpAndItsTangent
|
|
use constitutive_dislotwin, only: constitutive_dislotwin_label, &
|
|
constitutive_dislotwin_LpAndItsTangent
|
|
use constitutive_nonlocal, only: constitutive_nonlocal_label, &
|
|
constitutive_nonlocal_LpAndItsTangent
|
|
|
|
implicit none
|
|
!*** input variables ***!
|
|
integer(pInt), intent(in):: ipc, & ! component-ID of current integration point
|
|
ip, & ! current integration point
|
|
el ! current element
|
|
real(pReal), intent(in) :: Temperature
|
|
real(pReal), dimension(6), intent(in) :: Tstar_v ! 2nd Piola-Kirchhoff stress
|
|
|
|
!*** output variables ***!
|
|
real(pReal), dimension(3,3), intent(out) :: Lp ! plastic velocity gradient
|
|
real(pReal), dimension(9,9), intent(out) :: dLp_dTstar ! derivative of Lp with respect to Tstar (4th-order tensor)
|
|
|
|
|
|
!*** local variables ***!
|
|
|
|
|
|
select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
|
|
case (constitutive_j2_label)
|
|
call constitutive_j2_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_phenopowerlaw_label)
|
|
call constitutive_phenopowerlaw_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_titanmod_label)
|
|
call constitutive_titanmod_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_dislotwin_label)
|
|
call constitutive_dislotwin_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_nonlocal_label)
|
|
call constitutive_nonlocal_LpAndItsTangent(Lp, dLp_dTstar, Tstar_v, Temperature, constitutive_state(ipc,ip,el), ipc, ip, el)
|
|
|
|
end select
|
|
|
|
endsubroutine
|
|
|
|
|
|
|
|
!*********************************************************************
|
|
!* This subroutine contains the constitutive equation for *
|
|
!* calculating the rate of change of microstructure *
|
|
!*********************************************************************
|
|
subroutine constitutive_collectDotState(Tstar_v, Fe, Fp, Temperature, subdt, orientation, ipc, ip, el)
|
|
|
|
use prec, only: pReal, pLongInt
|
|
use debug, only: debug_cumDotStateCalls, &
|
|
debug_cumDotStateTicks, &
|
|
debug_what, &
|
|
debug_constitutive, &
|
|
debug_levelBasic
|
|
use mesh, only: mesh_NcpElems, &
|
|
mesh_maxNips
|
|
use material, only: phase_plasticity, &
|
|
material_phase, &
|
|
homogenization_maxNgrains
|
|
use constitutive_j2, only: constitutive_j2_dotState, &
|
|
constitutive_j2_label
|
|
use constitutive_phenopowerlaw, only: constitutive_phenopowerlaw_dotState, &
|
|
constitutive_phenopowerlaw_label
|
|
use constitutive_titanmod, only: constitutive_titanmod_dotState, &
|
|
constitutive_titanmod_label
|
|
use constitutive_dislotwin, only: constitutive_dislotwin_dotState, &
|
|
constitutive_dislotwin_label
|
|
use constitutive_nonlocal, only: constitutive_nonlocal_dotState, &
|
|
constitutive_nonlocal_label
|
|
|
|
implicit none
|
|
!*** input variables
|
|
integer(pInt), intent(in) :: ipc, & ! component-ID of current integration point
|
|
ip, & ! current integration point
|
|
el ! current element
|
|
real(pReal), intent(in) :: Temperature, &
|
|
subdt ! timestep
|
|
real(pReal), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
|
Fe, & ! elastic deformation gradient
|
|
Fp ! plastic deformation gradient
|
|
real(pReal), dimension(4,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
|
orientation ! crystal orientation (quaternion)
|
|
real(pReal), dimension(6), intent(in) :: &
|
|
Tstar_v ! 2nd Piola Kirchhoff stress tensor (Mandel)
|
|
!*** local variables
|
|
integer(pLongInt) tick, tock, &
|
|
tickrate, &
|
|
maxticks
|
|
|
|
if (iand(debug_what(debug_constitutive), debug_levelBasic) /= 0_pInt) then
|
|
call system_clock(count=tick,count_rate=tickrate,count_max=maxticks)
|
|
endif
|
|
|
|
select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
|
|
case (constitutive_j2_label)
|
|
constitutive_dotState(ipc,ip,el)%p = constitutive_j2_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_phenopowerlaw_label)
|
|
constitutive_dotState(ipc,ip,el)%p = constitutive_phenopowerlaw_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_titanmod_label)
|
|
constitutive_dotState(ipc,ip,el)%p = constitutive_titanmod_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_dislotwin_label)
|
|
constitutive_dotState(ipc,ip,el)%p = constitutive_dislotwin_dotState(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_nonlocal_label)
|
|
call constitutive_nonlocal_dotState(constitutive_dotState(ipc,ip,el), Tstar_v, Fe, Fp, Temperature, constitutive_state, &
|
|
subdt, orientation, ipc, ip, el)
|
|
|
|
end select
|
|
|
|
if (iand(debug_what(debug_constitutive), debug_levelBasic) /= 0_pInt) then
|
|
call system_clock(count=tock,count_rate=tickrate,count_max=maxticks)
|
|
!$OMP CRITICAL (debugTimingDotState)
|
|
debug_cumDotStateCalls = debug_cumDotStateCalls + 1_pInt
|
|
debug_cumDotStateTicks = debug_cumDotStateTicks + tock-tick
|
|
!$OMP FLUSH (debug_cumDotStateTicks)
|
|
if (tock < tick) debug_cumDotStateTicks = debug_cumDotStateTicks + maxticks
|
|
!$OMP END CRITICAL (debugTimingDotState)
|
|
endif
|
|
|
|
endsubroutine
|
|
|
|
|
|
|
|
!*********************************************************************
|
|
!* This subroutine contains the constitutive equation for *
|
|
!* calculating the rate of change of microstructure *
|
|
!*********************************************************************
|
|
function constitutive_dotTemperature(Tstar_v,Temperature,ipc,ip,el)
|
|
|
|
use prec, only: pReal, pLongInt
|
|
use debug, only: debug_cumDotTemperatureCalls, &
|
|
debug_cumDotTemperatureTicks, &
|
|
debug_what, &
|
|
debug_constitutive, &
|
|
debug_levelBasic
|
|
use material, only: phase_plasticity, &
|
|
material_phase
|
|
use constitutive_j2, only: constitutive_j2_dotTemperature, &
|
|
constitutive_j2_label
|
|
use constitutive_phenopowerlaw, only: constitutive_phenopowerlaw_dotTemperature, &
|
|
constitutive_phenopowerlaw_label
|
|
use constitutive_titanmod, only: constitutive_titanmod_dotTemperature, &
|
|
constitutive_titanmod_label
|
|
use constitutive_dislotwin, only: constitutive_dislotwin_dotTemperature, &
|
|
constitutive_dislotwin_label
|
|
use constitutive_nonlocal, only: constitutive_nonlocal_dotTemperature, &
|
|
constitutive_nonlocal_label
|
|
|
|
implicit none
|
|
!*** input variables
|
|
integer(pInt), intent(in) :: ipc, & ! component-ID of current integration point
|
|
ip, & ! current integration point
|
|
el ! current element
|
|
real(pReal), intent(in) :: Temperature
|
|
real(pReal), dimension(6), intent(in) :: &
|
|
Tstar_v ! 2nd Piola Kirchhoff stress tensor (Mandel)
|
|
|
|
!*** output variables ***!
|
|
real(pReal) constitutive_dotTemperature ! evolution of temperature
|
|
|
|
!*** local variables
|
|
integer(pLongInt) tick, tock, &
|
|
tickrate, &
|
|
maxticks
|
|
|
|
|
|
if (iand(debug_what(debug_constitutive),debug_levelBasic) /= 0_pInt) then
|
|
call system_clock(count=tick,count_rate=tickrate,count_max=maxticks)
|
|
endif
|
|
|
|
select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
|
|
case (constitutive_j2_label)
|
|
constitutive_dotTemperature = constitutive_j2_dotTemperature(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_phenopowerlaw_label)
|
|
constitutive_dotTemperature = constitutive_phenopowerlaw_dotTemperature(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_titanmod_label)
|
|
constitutive_dotTemperature = constitutive_titanmod_dotTemperature(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_dislotwin_label)
|
|
constitutive_dotTemperature = constitutive_dislotwin_dotTemperature(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_nonlocal_label)
|
|
constitutive_dotTemperature = constitutive_nonlocal_dotTemperature(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
end select
|
|
|
|
if (iand(debug_what(debug_constitutive),debug_levelBasic) /= 0_pInt) then
|
|
call system_clock(count=tock,count_rate=tickrate,count_max=maxticks)
|
|
!$OMP CRITICAL (debugTimingDotTemperature)
|
|
debug_cumDotTemperatureCalls = debug_cumDotTemperatureCalls + 1_pInt
|
|
debug_cumDotTemperatureTicks = debug_cumDotTemperatureTicks + tock-tick
|
|
!$OMP FLUSH (debug_cumDotTemperatureTicks)
|
|
if (tock < tick) debug_cumDotTemperatureTicks = debug_cumDotTemperatureTicks + maxticks
|
|
!$OMP END CRITICAL (debugTimingDotTemperature)
|
|
endif
|
|
|
|
endfunction
|
|
|
|
|
|
|
|
function constitutive_postResults(Tstar_v, Fe, Temperature, dt, ipc, ip, el)
|
|
!*********************************************************************
|
|
!* return array of constitutive results *
|
|
!* INPUT: *
|
|
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
|
|
!* - dt : current time increment *
|
|
!* - ipc : component-ID of current integration point *
|
|
!* - ip : current integration point *
|
|
!* - el : current element *
|
|
!*********************************************************************
|
|
use prec, only: pReal
|
|
use mesh, only: mesh_NcpElems, &
|
|
mesh_maxNips
|
|
use material, only: phase_plasticity, &
|
|
material_phase, &
|
|
homogenization_maxNgrains
|
|
use constitutive_j2, only: constitutive_j2_postResults, &
|
|
constitutive_j2_label
|
|
use constitutive_phenopowerlaw, only: constitutive_phenopowerlaw_postResults, &
|
|
constitutive_phenopowerlaw_label
|
|
use constitutive_titanmod, only: constitutive_titanmod_postResults, &
|
|
constitutive_titanmod_label
|
|
use constitutive_dislotwin, only: constitutive_dislotwin_postResults, &
|
|
constitutive_dislotwin_label
|
|
use constitutive_nonlocal, only: constitutive_nonlocal_postResults, &
|
|
constitutive_nonlocal_label
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implicit none
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!*** input variables
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integer(pInt), intent(in) :: ipc, & ! component-ID of current integration point
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ip, & ! current integration point
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el ! current element
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real(pReal), intent(in) :: Temperature, &
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dt ! timestep
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real(pReal), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
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Fe ! elastic deformation gradient
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real(pReal), dimension(6), intent(in) :: &
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Tstar_v ! 2nd Piola Kirchhoff stress tensor (Mandel)
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!*** output variables ***!
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real(pReal), dimension(constitutive_sizePostResults(ipc,ip,el)) :: constitutive_postResults
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!*** local variables
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constitutive_postResults = 0.0_pReal
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select case (phase_plasticity(material_phase(ipc,ip,el)))
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case (constitutive_j2_label)
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constitutive_postResults = constitutive_j2_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el)
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case (constitutive_phenopowerlaw_label)
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constitutive_postResults = constitutive_phenopowerlaw_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el)
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case (constitutive_titanmod_label)
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constitutive_postResults = constitutive_titanmod_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el)
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case (constitutive_dislotwin_label)
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constitutive_postResults = constitutive_dislotwin_postResults(Tstar_v,Temperature,dt,constitutive_state,ipc,ip,el)
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case (constitutive_nonlocal_label)
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constitutive_postResults = constitutive_nonlocal_postResults(Tstar_v, Fe, Temperature, dt, constitutive_state, &
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constitutive_dotstate(ipc,ip,el), ipc, ip, el)
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end select
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endfunction
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subroutine constitutive_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el)
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!************************************************************************
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!* This subroutine returns the 2nd Piola-Kirchhoff stress tensor and *
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!* its tangent with respect to the elastic deformation gradient *
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!* OUTPUT: *
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!* - Tstar : 2nd Piola-Kirchhoff stress tensor *
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!* - dTstar_dFe : derivative of 2nd Piola-Kirchhoff stress tensor *
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!* with respect to the elastic deformation gradient *
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!* INPUT: *
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!* - Fe : elastic deformation gradient *
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!* - ipc : component-ID of current integration point *
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!* - ip : current integration point *
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!* - el : current element *
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!************************************************************************
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use prec, only: pReal
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use material, only: phase_elasticity,material_phase
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implicit none
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integer(pInt) :: ipc,ip,el
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real(pReal), dimension(3,3) :: T, Fe
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real(pReal), dimension(3,3,3,3) :: dT_dFe
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select case (phase_elasticity(material_phase(ipc,ip,el)))
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case (constitutive_hooke_label)
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call constitutive_hooke_TstarAndItsTangent(T, dT_dFe, Fe, ipc, ip, el)
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end select
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return
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endsubroutine constitutive_TandItsTangent
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subroutine constitutive_hooke_TandItsTangent(T, dT_dFe, Fe, g, i, e)
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!************************************************************************
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!* This subroutine returns the 2nd Piola-Kirchhoff stress tensor and *
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!* its tangent with respect to the elastic deformation gradient *
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!* OUTPUT: *
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!* - Tstar : 2nd Piola-Kirchhoff stress tensor *
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!* - dTstar_dFe : derivative of 2nd Piola-Kirchhoff stress tensor *
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!* with respect to the elastic deformation gradient *
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!* INPUT: *
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!* - Fe : elastic deformation gradient *
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!* - ipc : component-ID of current integration point *
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!* - ip : current integration point *
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!* - el : current element *
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!************************************************************************
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use prec, only: p_vec
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use math
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|
|
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implicit none
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!* Definition of variables
|
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integer(pInt) g, i, e, p, o
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real(pReal), dimension(3,3) :: T, Fe
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real(pReal), dimension(6,6) :: C_66
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real(pReal), dimension(3,3,3,3) :: dT_dFe, C
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!* get elasticity tensor
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C_66 = constitutive_homogenizedC(g,i,e)
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C = math_Mandel66to3333(C_66)
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T = 0.5_pReal*math_mul3333xx33(C,math_mul33x33(math_transpose33(Fe),Fe)-math_I3)
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do p=1_pInt,3_pInt; do o=1_pInt,3_pInt
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dT_dFe(o,p,1:3,1:3) = math_mul33x33(C(o,p,1:3,1:3), math_transpose33(Fe)) ! dT*_ij/dFe_kl
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enddo; enddo
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end subroutine constitutive_hooke_TandItsTangent
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END MODULE
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