939 lines
49 KiB
Fortran
939 lines
49 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 elasticity, plasticity, internal microstructure state
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!--------------------------------------------------------------------------------------------------
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module constitutive
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use prec, only: &
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pInt, &
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pReal, &
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p_vec
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implicit none
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private
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type(p_vec), public, dimension(:,:,:), allocatable :: &
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constitutive_state0, & !< pointer array to microstructure at start of BVP 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_deltaState, & !< pointer array to incremental change 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), public, 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), public, 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), public :: &
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constitutive_maxSizeDotState, &
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constitutive_maxSizePostResults
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integer(pInt), private :: &
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constitutive_maxSizeState
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character (len=*), parameter, public :: constitutive_hooke_label = 'hooke'
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public :: &
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constitutive_init, &
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constitutive_homogenizedC, &
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constitutive_microstructure, &
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constitutive_LpAndItsTangent, &
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constitutive_TandItsTangent, &
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constitutive_collectDotState, &
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constitutive_collectDeltaState, &
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constitutive_heat, &
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constitutive_postResults
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private :: &
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constitutive_hooke_TandItsTangent
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief allocates arrays pointing to array of the various constitutive modules
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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: &
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debug_level, &
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debug_constitutive, &
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debug_levelBasic
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use numerics, only: &
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numerics_integrator
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use IO, only: &
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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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IO_write_jobIntFile, &
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IO_timeStamp
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use mesh, only: &
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mesh_maxNips, &
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mesh_NcpElems, &
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mesh_element, &
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FE_Nips, &
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FE_geomtype
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use material, only: &
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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_elasticity, &
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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_none
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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) :: &
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g, & !< grain number
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i, & !< integration point number
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e, & !< element number
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cMax, & !< 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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matID,&
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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, nonlocalConstitutionPresent
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nonlocalConstitutionPresent = .false.
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!--------------------------------------------------------------------------------------------------
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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_none_init(fileunit)
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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(6,'(/,a)') ' <<<+- constitutive 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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!--------------------------------------------------------------------------------------------------
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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_none_label)
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thisOutput => NULL() ! constitutive_none_output
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thisSize => NULL() ! constitutive_none_sizePostResult
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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,'(/,a,/)') '['//trim(phase_name(p))//']'
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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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!--------------------------------------------------------------------------------------------------
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! allocation of states
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cMax = homogenization_maxNgrains
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iMax = mesh_maxNips
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eMax = mesh_NcpElems
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allocate(constitutive_state0(cMax,iMax,eMax))
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allocate(constitutive_partionedState0(cMax,iMax,eMax))
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allocate(constitutive_subState0(cMax,iMax,eMax))
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allocate(constitutive_state(cMax,iMax,eMax))
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allocate(constitutive_state_backup(cMax,iMax,eMax))
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allocate(constitutive_dotState(cMax,iMax,eMax))
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allocate(constitutive_deltaState(cMax,iMax,eMax))
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allocate(constitutive_dotState_backup(cMax,iMax,eMax))
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allocate(constitutive_aTolState(cMax,iMax,eMax))
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allocate(constitutive_sizeDotState(cMax,iMax,eMax)) ; constitutive_sizeDotState = 0_pInt
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allocate(constitutive_sizeState(cMax,iMax,eMax)) ; constitutive_sizeState = 0_pInt
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allocate(constitutive_sizePostResults(cMax,iMax,eMax)); constitutive_sizePostResults = 0_pInt
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if (any(numerics_integrator == 1_pInt)) then
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allocate(constitutive_previousDotState(cMax,iMax,eMax))
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allocate(constitutive_previousDotState2(cMax,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(cMax,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,cMax,iMax,eMax))
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endif
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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(FE_geomtype(mesh_element(2,e))) ! loop over IPs
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do g = 1_pInt,myNgrains ! loop over grains
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select case(phase_elasticity(material_phase(g,i,e)))
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case (constitutive_hooke_label)
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! valid elasticity but nothing to do
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case default
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call IO_error(200_pInt,ext_msg=trim(phase_elasticity(material_phase(g,i,e)))) ! unknown elasticity
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end select
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matID = 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_none_label)
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allocate(constitutive_state0(g,i,e)%p(constitutive_none_sizeState(matID)))
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allocate(constitutive_partionedState0(g,i,e)%p(constitutive_none_sizeState(matID)))
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allocate(constitutive_subState0(g,i,e)%p(constitutive_none_sizeState(matID)))
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allocate(constitutive_state(g,i,e)%p(constitutive_none_sizeState(matID)))
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allocate(constitutive_state_backup(g,i,e)%p(constitutive_none_sizeState(matID)))
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allocate(constitutive_aTolState(g,i,e)%p(constitutive_none_sizeState(matID)))
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allocate(constitutive_dotState(g,i,e)%p(constitutive_none_sizeDotState(matID)))
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allocate(constitutive_deltaState(g,i,e)%p(constitutive_none_sizeDotState(matID)))
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allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_none_sizeDotState(matID)))
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if (any(numerics_integrator == 1_pInt)) then
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allocate(constitutive_previousDotState(g,i,e)%p(constitutive_none_sizeDotState(matID)))
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allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_none_sizeDotState(matID)))
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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_none_sizeDotState(matID)))
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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_none_sizeDotState(matID)))
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enddo
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endif
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constitutive_state0(g,i,e)%p = 0.0_pReal
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constitutive_aTolState(g,i,e)%p = 1.0_pReal
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constitutive_sizeState(g,i,e) = 0.0_pReal
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constitutive_sizeDotState(g,i,e) = 0.0_pReal
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constitutive_sizePostResults(g,i,e) = 0.0_pReal
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case (constitutive_j2_label)
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allocate(constitutive_state0(g,i,e)%p(constitutive_j2_sizeState(matID)))
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allocate(constitutive_partionedState0(g,i,e)%p(constitutive_j2_sizeState(matID)))
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allocate(constitutive_subState0(g,i,e)%p(constitutive_j2_sizeState(matID)))
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allocate(constitutive_state(g,i,e)%p(constitutive_j2_sizeState(matID)))
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allocate(constitutive_state_backup(g,i,e)%p(constitutive_j2_sizeState(matID)))
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allocate(constitutive_aTolState(g,i,e)%p(constitutive_j2_sizeState(matID)))
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allocate(constitutive_dotState(g,i,e)%p(constitutive_j2_sizeDotState(matID)))
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allocate(constitutive_deltaState(g,i,e)%p(constitutive_j2_sizeDotState(matID)))
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allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_j2_sizeDotState(matID)))
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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(matID)))
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allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_j2_sizeDotState(matID)))
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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(matID)))
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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(matID)))
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enddo
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endif
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constitutive_state0(g,i,e)%p = constitutive_j2_stateInit(matID)
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constitutive_aTolState(g,i,e)%p = constitutive_j2_aTolState(matID)
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constitutive_sizeState(g,i,e) = constitutive_j2_sizeState(matID)
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constitutive_sizeDotState(g,i,e) = constitutive_j2_sizeDotState(matID)
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constitutive_sizePostResults(g,i,e) = constitutive_j2_sizePostResults(matID)
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case (constitutive_phenopowerlaw_label)
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allocate(constitutive_state0(g,i,e)%p(constitutive_phenopowerlaw_sizeState(matID)))
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allocate(constitutive_partionedState0(g,i,e)%p(constitutive_phenopowerlaw_sizeState(matID)))
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allocate(constitutive_subState0(g,i,e)%p(constitutive_phenopowerlaw_sizeState(matID)))
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allocate(constitutive_state(g,i,e)%p(constitutive_phenopowerlaw_sizeState(matID)))
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allocate(constitutive_state_backup(g,i,e)%p(constitutive_phenopowerlaw_sizeState(matID)))
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allocate(constitutive_aTolState(g,i,e)%p(constitutive_phenopowerlaw_sizeState(matID)))
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allocate(constitutive_dotState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(matID)))
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allocate(constitutive_deltaState(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(matID)))
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allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(matID)))
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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(matID)))
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allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_phenopowerlaw_sizeDotState(matID)))
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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(matID)))
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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(matID)))
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enddo
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endif
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constitutive_state0(g,i,e)%p = constitutive_phenopowerlaw_stateInit(matID)
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constitutive_aTolState(g,i,e)%p = constitutive_phenopowerlaw_aTolState(matID)
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constitutive_sizeState(g,i,e) = constitutive_phenopowerlaw_sizeState(matID)
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constitutive_sizeDotState(g,i,e) = constitutive_phenopowerlaw_sizeDotState(matID)
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constitutive_sizePostResults(g,i,e) = constitutive_phenopowerlaw_sizePostResults(matID)
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case (constitutive_titanmod_label)
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allocate(constitutive_state0(g,i,e)%p(constitutive_titanmod_sizeState(matID)))
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allocate(constitutive_partionedState0(g,i,e)%p(constitutive_titanmod_sizeState(matID)))
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allocate(constitutive_subState0(g,i,e)%p(constitutive_titanmod_sizeState(matID)))
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allocate(constitutive_state(g,i,e)%p(constitutive_titanmod_sizeState(matID)))
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allocate(constitutive_state_backup(g,i,e)%p(constitutive_titanmod_sizeState(matID)))
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allocate(constitutive_aTolState(g,i,e)%p(constitutive_titanmod_sizeState(matID)))
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allocate(constitutive_dotState(g,i,e)%p(constitutive_titanmod_sizeDotState(matID)))
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allocate(constitutive_deltaState(g,i,e)%p(constitutive_titanmod_sizeDotState(matID)))
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allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_titanmod_sizeDotState(matID)))
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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(matID)))
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allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_titanmod_sizeDotState(matID)))
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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(matID)))
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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(matID)))
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enddo
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endif
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constitutive_state0(g,i,e)%p = constitutive_titanmod_stateInit(matID)
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constitutive_aTolState(g,i,e)%p = constitutive_titanmod_aTolState(matID)
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constitutive_sizeState(g,i,e) = constitutive_titanmod_sizeState(matID)
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constitutive_sizeDotState(g,i,e) = constitutive_titanmod_sizeDotState(matID)
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constitutive_sizePostResults(g,i,e) = constitutive_titanmod_sizePostResults(matID)
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case (constitutive_dislotwin_label)
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allocate(constitutive_state0(g,i,e)%p(constitutive_dislotwin_sizeState(matID)))
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allocate(constitutive_partionedState0(g,i,e)%p(constitutive_dislotwin_sizeState(matID)))
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allocate(constitutive_subState0(g,i,e)%p(constitutive_dislotwin_sizeState(matID)))
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allocate(constitutive_state(g,i,e)%p(constitutive_dislotwin_sizeState(matID)))
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allocate(constitutive_state_backup(g,i,e)%p(constitutive_dislotwin_sizeState(matID)))
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allocate(constitutive_aTolState(g,i,e)%p(constitutive_dislotwin_sizeState(matID)))
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allocate(constitutive_dotState(g,i,e)%p(constitutive_dislotwin_sizeDotState(matID)))
|
|
allocate(constitutive_deltaState(g,i,e)%p(constitutive_dislotwin_sizeDotState(matID)))
|
|
allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_dislotwin_sizeDotState(matID)))
|
|
if (any(numerics_integrator == 1_pInt)) then
|
|
allocate(constitutive_previousDotState(g,i,e)%p(constitutive_dislotwin_sizeDotState(matID)))
|
|
allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_dislotwin_sizeDotState(matID)))
|
|
endif
|
|
if (any(numerics_integrator == 4_pInt)) then
|
|
allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_dislotwin_sizeDotState(matID)))
|
|
endif
|
|
if (any(numerics_integrator == 5_pInt)) then
|
|
do s = 1_pInt,6_pInt
|
|
allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_dislotwin_sizeDotState(matID)))
|
|
enddo
|
|
endif
|
|
constitutive_state0(g,i,e)%p = constitutive_dislotwin_stateInit(matID)
|
|
constitutive_aTolState(g,i,e)%p = constitutive_dislotwin_aTolState(matID)
|
|
constitutive_sizeState(g,i,e) = constitutive_dislotwin_sizeState(matID)
|
|
constitutive_sizeDotState(g,i,e) = constitutive_dislotwin_sizeDotState(matID)
|
|
constitutive_sizePostResults(g,i,e) = constitutive_dislotwin_sizePostResults(matID)
|
|
|
|
case (constitutive_nonlocal_label)
|
|
nonlocalConstitutionPresent = .true.
|
|
if(myNgrains/=1_pInt) call IO_error(252_pInt, e,i,g)
|
|
allocate(constitutive_state0(g,i,e)%p(constitutive_nonlocal_sizeState(matID)))
|
|
allocate(constitutive_partionedState0(g,i,e)%p(constitutive_nonlocal_sizeState(matID)))
|
|
allocate(constitutive_subState0(g,i,e)%p(constitutive_nonlocal_sizeState(matID)))
|
|
allocate(constitutive_state(g,i,e)%p(constitutive_nonlocal_sizeState(matID)))
|
|
allocate(constitutive_state_backup(g,i,e)%p(constitutive_nonlocal_sizeState(matID)))
|
|
allocate(constitutive_aTolState(g,i,e)%p(constitutive_nonlocal_sizeState(matID)))
|
|
allocate(constitutive_dotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(matID)))
|
|
allocate(constitutive_deltaState(g,i,e)%p(constitutive_nonlocal_sizeDotState(matID)))
|
|
allocate(constitutive_dotState_backup(g,i,e)%p(constitutive_nonlocal_sizeDotState(matID)))
|
|
if (any(numerics_integrator == 1_pInt)) then
|
|
allocate(constitutive_previousDotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(matID)))
|
|
allocate(constitutive_previousDotState2(g,i,e)%p(constitutive_nonlocal_sizeDotState(matID)))
|
|
endif
|
|
if (any(numerics_integrator == 4_pInt)) then
|
|
allocate(constitutive_RK4dotState(g,i,e)%p(constitutive_nonlocal_sizeDotState(matID)))
|
|
endif
|
|
if (any(numerics_integrator == 5_pInt)) then
|
|
do s = 1_pInt,6_pInt
|
|
allocate(constitutive_RKCK45dotState(s,g,i,e)%p(constitutive_nonlocal_sizeDotState(matID)))
|
|
enddo
|
|
endif
|
|
constitutive_aTolState(g,i,e)%p = constitutive_nonlocal_aTolState(matID)
|
|
constitutive_sizeState(g,i,e) = constitutive_nonlocal_sizeState(matID)
|
|
constitutive_sizeDotState(g,i,e) = constitutive_nonlocal_sizeDotState(matID)
|
|
constitutive_sizePostResults(g,i,e) = constitutive_nonlocal_sizePostResults(matID)
|
|
|
|
case default
|
|
call IO_error(201_pInt,ext_msg=trim(phase_plasticity(material_phase(g,i,e)))) ! unknown plasticity
|
|
|
|
end select
|
|
enddo
|
|
enddo
|
|
enddo
|
|
if (nonlocalConstitutionPresent) &
|
|
call constitutive_nonlocal_stateInit(constitutive_state0(1,1:iMax,1:eMax))
|
|
do e = 1_pInt,mesh_NcpElems ! loop over elements
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
forall(i = 1_pInt:FE_Nips(FE_geomtype(mesh_element(2,e))), g = 1_pInt:myNgrains)
|
|
constitutive_partionedState0(g,i,e)%p = constitutive_state0(g,i,e)%p
|
|
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
|
|
endforall
|
|
enddo
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! write out state size file
|
|
call IO_write_jobIntFile(777,'sizeStateConst', size(constitutive_sizeState))
|
|
write (777,rec=1) constitutive_sizeState
|
|
close(777)
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! report
|
|
constitutive_maxSizeState = maxval(constitutive_sizeState)
|
|
constitutive_maxSizeDotState = maxval(constitutive_sizeDotState)
|
|
constitutive_maxSizePostResults = maxval(constitutive_sizePostResults)
|
|
|
|
if (iand(debug_level(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_deltaState: ', shape(constitutive_deltaState)
|
|
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
|
|
flush(6)
|
|
|
|
end subroutine constitutive_init
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns the homogenize elasticity matrix
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure function constitutive_homogenizedC(ipc,ip,el)
|
|
use material, only: &
|
|
phase_plasticity, &
|
|
material_phase
|
|
use constitutive_none, only: &
|
|
CONSTITUTIVE_NONE_label, &
|
|
constitutive_none_homogenizedC
|
|
use constitutive_j2, only: &
|
|
CONSTITUTIVE_J2_label, &
|
|
constitutive_j2_homogenizedC
|
|
use constitutive_phenopowerlaw, only: &
|
|
CONSTITUTIVE_PHENOPOWERLAW_label, &
|
|
constitutive_phenopowerlaw_homogenizedC
|
|
use constitutive_titanmod, only: &
|
|
CONSTITUTIVE_TITANMOD_label, &
|
|
constitutive_titanmod_homogenizedC
|
|
use constitutive_dislotwin, only: &
|
|
CONSTITUTIVE_DISLOTWIN_label, &
|
|
constitutive_dislotwin_homogenizedC
|
|
use constitutive_nonlocal, only: &
|
|
CONSTITUTIVE_NONLOCAL_label, &
|
|
constitutive_nonlocal_homogenizedC
|
|
|
|
implicit none
|
|
real(pReal), dimension(6,6) :: constitutive_homogenizedC
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
|
|
select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
|
|
case (constitutive_none_label)
|
|
constitutive_homogenizedC = constitutive_none_homogenizedC(ipc,ip,el)
|
|
|
|
case (constitutive_j2_label)
|
|
constitutive_homogenizedC = constitutive_j2_homogenizedC(ipc,ip,el)
|
|
|
|
case (constitutive_phenopowerlaw_label)
|
|
constitutive_homogenizedC = constitutive_phenopowerlaw_homogenizedC(ipc,ip,el)
|
|
|
|
case (constitutive_nonlocal_label)
|
|
constitutive_homogenizedC = constitutive_nonlocal_homogenizedC(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)
|
|
|
|
end select
|
|
|
|
end function constitutive_homogenizedC
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief calls microstructure function of the different constitutive models
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine constitutive_microstructure(temperature, Fe, Fp, ipc, ip, el)
|
|
use material, only: &
|
|
phase_plasticity, &
|
|
material_phase
|
|
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
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
real(pReal), intent(in) :: &
|
|
temperature
|
|
real(pReal), intent(in), dimension(3,3) :: &
|
|
Fe, & !< elastic deformation gradient
|
|
Fp !< plastic deformation gradient
|
|
|
|
select case (phase_plasticity(material_phase(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,Fe,Fp,ipc,ip,el)
|
|
|
|
end select
|
|
|
|
end subroutine constitutive_microstructure
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief contains the constitutive equation for calculating the velocity gradient
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine constitutive_LpAndItsTangent(Lp, dLp_dTstar, Tstar_v, temperature, ipc, ip, el)
|
|
use math, only: &
|
|
math_identity2nd
|
|
use material, only: &
|
|
phase_plasticity, &
|
|
material_phase
|
|
use constitutive_none, only: &
|
|
constitutive_none_label
|
|
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
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
real(pReal), intent(in) :: &
|
|
Temperature
|
|
real(pReal), intent(in), dimension(6) :: &
|
|
Tstar_v !< 2nd Piola-Kirchhoff stress
|
|
real(pReal), intent(out), dimension(3,3) :: &
|
|
Lp !< plastic velocity gradient
|
|
real(pReal), intent(out), dimension(9,9) :: &
|
|
dLp_dTstar !< derivative of Lp with respect to Tstar (4th-order tensor)
|
|
|
|
select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
|
|
case (constitutive_none_label)
|
|
Lp = 0.0_pReal
|
|
dLp_dTstar = math_identity2nd(9)
|
|
|
|
case (constitutive_j2_label)
|
|
call constitutive_j2_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_phenopowerlaw_label)
|
|
call constitutive_phenopowerlaw_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,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
|
|
|
|
end subroutine constitutive_LpAndItsTangent
|
|
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to
|
|
!> the elastic deformation gradient depending on the selected elastic law (so far no case switch
|
|
!! because only hooke is implemented
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure subroutine constitutive_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el)
|
|
use material, only: &
|
|
phase_elasticity,material_phase
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
real(pReal), intent(in), dimension(3,3) :: &
|
|
Fe !< elastic deformation gradient
|
|
real(pReal), intent(out), dimension(3,3) :: &
|
|
T !< 2nd Piola-Kirchhoff stress tensor
|
|
real(pReal), intent(out), dimension(3,3,3,3) :: &
|
|
dT_dFe !< derivative of 2nd P-K stress with respect to elastic deformation gradient
|
|
|
|
call constitutive_hooke_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el)
|
|
|
|
|
|
end subroutine constitutive_TandItsTangent
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to
|
|
!> the elastic deformation gradient using hookes law
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure subroutine constitutive_hooke_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el)
|
|
use math, only : &
|
|
math_mul33x33, &
|
|
math_mul3333xx33, &
|
|
math_Mandel66to3333, &
|
|
math_transpose33, &
|
|
MATH_I3
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
real(pReal), intent(in), dimension(3,3) :: &
|
|
Fe !< elastic deformation gradient
|
|
real(pReal), intent(out), dimension(3,3) :: &
|
|
T !< 2nd Piola-Kirchhoff stress tensor
|
|
real(pReal), intent(out), dimension(3,3,3,3) :: &
|
|
dT_dFe !< dT/dFe
|
|
|
|
integer(pInt) :: o, p
|
|
real(pReal), dimension(3,3) :: FeT
|
|
real(pReal), dimension(3,3,3,3) :: C
|
|
|
|
|
|
C = math_Mandel66to3333(constitutive_homogenizedC(ipc,ip,el))
|
|
|
|
FeT = math_transpose33(Fe)
|
|
T = 0.5_pReal*math_mul3333xx33(C,math_mul33x33(FeT,Fe)-MATH_I3)
|
|
|
|
forall (o=1_pInt:3_pInt, p=1_pInt:3_pInt) dT_dFe(o,p,1:3,1:3) = math_mul33x33(C(o,p,1:3,1:3), FeT) ! dT*_ij/dFe_kl
|
|
|
|
end subroutine constitutive_hooke_TandItsTangent
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief contains the constitutive equation for calculating the rate of change of microstructure
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine constitutive_collectDotState(Tstar_v, Fe, Fp, Temperature, subdt, subfrac, ipc, ip, el)
|
|
use prec, only: &
|
|
pLongInt
|
|
use debug, only: &
|
|
debug_cumDotStateCalls, &
|
|
debug_cumDotStateTicks, &
|
|
debug_level, &
|
|
debug_constitutive, &
|
|
debug_levelBasic
|
|
use mesh, only: &
|
|
mesh_NcpElems, &
|
|
mesh_maxNips
|
|
use material, only: &
|
|
phase_plasticity, &
|
|
material_phase, &
|
|
homogenization_maxNgrains
|
|
use constitutive_none, only: &
|
|
constitutive_none_label
|
|
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
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
real(pReal), intent(in) :: &
|
|
Temperature, &
|
|
subdt !< timestep
|
|
real(pReal), intent(in), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
|
|
subfrac !< subfraction of timestep
|
|
real(pReal), intent(in), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
|
|
Fe, & !< elastic deformation gradient
|
|
Fp !< plastic deformation gradient
|
|
real(pReal), intent(in), dimension(6) :: &
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor (Mandel)
|
|
integer(pLongInt) :: &
|
|
tick, tock, &
|
|
tickrate, &
|
|
maxticks
|
|
|
|
if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) &
|
|
call system_clock(count=tick,count_rate=tickrate,count_max=maxticks)
|
|
|
|
select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
|
|
case (constitutive_none_label)
|
|
constitutive_dotState(ipc,ip,el)%p = 0.0_pReal !ToDo: needed or will it remain zero anyway?
|
|
|
|
case (constitutive_j2_label)
|
|
constitutive_dotState(ipc,ip,el)%p = constitutive_j2_dotState(Tstar_v,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_phenopowerlaw_label)
|
|
constitutive_dotState(ipc,ip,el)%p = constitutive_phenopowerlaw_dotState(Tstar_v,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)
|
|
constitutive_dotState(ipc,ip,el)%p = constitutive_nonlocal_dotState(Tstar_v, Fe, Fp, Temperature, constitutive_state, &
|
|
constitutive_state0, subdt, subfrac, ipc, ip, el)
|
|
|
|
end select
|
|
|
|
if (iand(debug_level(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
|
|
!$OMP END CRITICAL (debugTimingDotState)
|
|
endif
|
|
|
|
end subroutine constitutive_collectDotState
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief contains the constitutive equation for calculating the incremental change of
|
|
!> microstructure based on the current stress and state
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine constitutive_collectDeltaState(Tstar_v, ipc, ip, el)
|
|
use prec, only: &
|
|
pLongInt
|
|
use debug, only: &
|
|
debug_cumDeltaStateCalls, &
|
|
debug_cumDeltaStateTicks, &
|
|
debug_level, &
|
|
debug_constitutive, &
|
|
debug_levelBasic
|
|
use material, only: &
|
|
phase_plasticity, &
|
|
material_phase
|
|
use constitutive_nonlocal, only: &
|
|
constitutive_nonlocal_deltaState, &
|
|
constitutive_nonlocal_label
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
real(pReal), intent(in), dimension(6) :: &
|
|
Tstar_v !< 2nd Piola-Kirchhoff stress
|
|
integer(pLongInt) :: &
|
|
tick, tock, &
|
|
tickrate, &
|
|
maxticks
|
|
|
|
if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) &
|
|
call system_clock(count=tick,count_rate=tickrate,count_max=maxticks)
|
|
|
|
select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
|
|
case (constitutive_nonlocal_label)
|
|
call constitutive_nonlocal_deltaState(constitutive_deltaState(ipc,ip,el),constitutive_state, Tstar_v,ipc,ip,el)
|
|
|
|
case default
|
|
constitutive_deltaState(ipc,ip,el)%p = 0.0_pReal !ToDo: needed or will it remain zero anyway?
|
|
|
|
end select
|
|
|
|
if (iand(debug_level(debug_constitutive), debug_levelBasic) /= 0_pInt) then
|
|
call system_clock(count=tock,count_rate=tickrate,count_max=maxticks)
|
|
!$OMP CRITICAL (debugTimingDeltaState)
|
|
debug_cumDeltaStateCalls = debug_cumDeltaStateCalls + 1_pInt
|
|
debug_cumDeltaStateTicks = debug_cumDeltaStateTicks + tock-tick
|
|
!$OMP FLUSH (debug_cumDeltaStateTicks)
|
|
if (tock < tick) debug_cumDeltaStateTicks = debug_cumDeltaStateTicks + maxticks
|
|
!$OMP END CRITICAL (debugTimingDeltaState)
|
|
endif
|
|
|
|
end subroutine constitutive_collectDeltaState
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief contains the constitutive equation for calculating the rate of change of microstructure
|
|
!--------------------------------------------------------------------------------------------------
|
|
real(pReal) function constitutive_heat(Tstar_v,Temperature,ipc,ip,el)
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
real(pReal), intent(in) :: &
|
|
Temperature
|
|
real(pReal), intent(in), dimension(6) :: &
|
|
Tstar_v !< 2nd Piola-Kirchhoff stress
|
|
|
|
constitutive_heat = 0.0_pReal
|
|
|
|
end function constitutive_heat
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns array of constitutive results
|
|
!--------------------------------------------------------------------------------------------------
|
|
function constitutive_postResults(Tstar_v, Fe, temperature, ipc, ip, el)
|
|
use mesh, only: &
|
|
mesh_NcpElems, &
|
|
mesh_maxNips
|
|
use material, only: &
|
|
phase_plasticity, &
|
|
material_phase, &
|
|
homogenization_maxNgrains
|
|
use constitutive_none, only: &
|
|
constitutive_none_label
|
|
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
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< grain number
|
|
ip, & !< integration point number
|
|
el !< element number
|
|
real(pReal), dimension(constitutive_sizePostResults(ipc,ip,el)) :: &
|
|
constitutive_postResults
|
|
real(pReal), intent(in) :: &
|
|
temperature
|
|
real(pReal), intent(in), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
|
|
Fe !< elastic deformation gradient
|
|
real(pReal), intent(in), dimension(6) :: &
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor (Mandel)
|
|
|
|
constitutive_postResults = 0.0_pReal
|
|
|
|
select case (phase_plasticity(material_phase(ipc,ip,el)))
|
|
|
|
case (constitutive_none_label)
|
|
constitutive_postResults = 0.0_pReal
|
|
|
|
case (constitutive_titanmod_label)
|
|
constitutive_postResults = constitutive_titanmod_postResults(constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_j2_label)
|
|
constitutive_postResults = constitutive_j2_postResults(Tstar_v,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_phenopowerlaw_label)
|
|
constitutive_postResults = constitutive_phenopowerlaw_postResults(Tstar_v,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_dislotwin_label)
|
|
constitutive_postResults = constitutive_dislotwin_postResults(Tstar_v,Temperature,constitutive_state,ipc,ip,el)
|
|
|
|
case (constitutive_nonlocal_label)
|
|
constitutive_postResults = constitutive_nonlocal_postResults(Tstar_v, Fe, constitutive_state, &
|
|
constitutive_dotstate(ipc,ip,el), ipc, ip, el)
|
|
end select
|
|
|
|
end function constitutive_postResults
|
|
|
|
|
|
end module constitutive
|