1907 lines
106 KiB
Fortran
1907 lines
106 KiB
Fortran
! Copyright 2011-13 Max-Planck-Institut für Eisenforschung GmbH
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!
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! This file is part of DAMASK,
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! the Düsseldorf Advanced MAterial Simulation Kit.
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!
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! DAMASK is free software: you can redistribute it and/or modify
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! it under the terms of the GNU General Public License as published by
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! the Free Software Foundation, either version 3 of the License, or
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! (at your option) any later version.
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!
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! DAMASK is distributed in the hope that it will be useful,
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! but WITHOUT ANY WARRANTY; without even the implied warranty of
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! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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! GNU General Public License for more details.
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!
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! You should have received a copy of the GNU General Public License
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! along with DAMASK. If not, see <http://www.gnu.org/licenses/>.
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!
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!--------------------------------------------------------------------------------------------------
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! $Id$
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!--------------------------------------------------------------------------------------------------
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!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief material subroutine incoprorating dislocation and twinning physics
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!> @details to be done
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!--------------------------------------------------------------------------------------------------
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module constitutive_dislotwin
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use prec, only: &
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pReal, &
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pInt
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implicit none
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private
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character(len=*), parameter, public :: &
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CONSTITUTIVE_DISLOTWIN_label = 'dislotwin'
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integer(pInt), dimension(:), allocatable, public, protected :: &
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constitutive_dislotwin_sizeDotState, & !< number of dotStates
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constitutive_dislotwin_sizeState, & !< total number of microstructural state variables
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constitutive_dislotwin_sizePostResults !< cumulative size of post results
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character(len=32), dimension(:), allocatable, public, protected :: &
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constitutive_dislotwin_structureName !< name of the lattice structure
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integer(pInt), dimension(:,:), allocatable, target, public :: &
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constitutive_dislotwin_sizePostResult !< size of each post result output
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character(len=64), dimension(:,:), allocatable, target, public :: &
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constitutive_dislotwin_output !< name of each post result output
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character(len=12), dimension(3), parameter, private :: &
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CONSTITUTIVE_DISLOTWIN_listBasicSlipStates = &
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['rhoEdge ', 'rhoEdgeDip ', 'accshearslip']
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character(len=12), dimension(2), parameter, private :: &
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CONSTITUTIVE_DISLOTWIN_listBasicTwinStates = &
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['twinFraction', 'accsheartwin']
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character(len=17), dimension(4), parameter, private :: &
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CONSTITUTIVE_DISLOTWIN_listDependentSlipStates = &
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['invLambdaSlip ', 'invLambdaSlipTwin', 'meanFreePathSlip ', 'tauSlipThreshold ']
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character(len=16), dimension(4), parameter, private :: &
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CONSTITUTIVE_DISLOTWIN_listDependentTwinStates = &
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['invLambdaTwin ', 'meanFreePathTwin', 'tauTwinThreshold', 'twinVolume ']
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real(pReal), parameter, private :: &
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kB = 1.38e-23_pReal !< Boltzmann constant in J/Kelvin
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integer(pInt), dimension(:), allocatable, private :: &
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constitutive_dislotwin_Noutput !< number of outputs per instance of this plasticity
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integer(pInt), dimension(:), allocatable, private :: &
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constitutive_dislotwin_structure, & !< number representing the kind of lattice structure
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constitutive_dislotwin_totalNslip, & !< total number of active slip systems for each instance
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constitutive_dislotwin_totalNtwin !< total number of active twin systems for each instance
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integer(pInt), dimension(:,:), allocatable, private :: &
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constitutive_dislotwin_Nslip, & !< number of active slip systems for each family and instance
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constitutive_dislotwin_Ntwin !< number of active twin systems for each family and instance
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real(pReal), dimension(:), allocatable, private :: &
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constitutive_dislotwin_CoverA, & !< c/a ratio for hex type lattice
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constitutive_dislotwin_Gmod, & !< shear modulus
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constitutive_dislotwin_nu, & !< poisson's ratio
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constitutive_dislotwin_CAtomicVolume, & !< atomic volume in Bugers vector unit
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constitutive_dislotwin_D0, & !< prefactor for self-diffusion coefficient
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constitutive_dislotwin_Qsd, & !< activation energy for dislocation climb
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constitutive_dislotwin_GrainSize, & !< grain size
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constitutive_dislotwin_p, & !< p-exponent in glide velocity
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constitutive_dislotwin_q, & !< q-exponent in glide velocity
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constitutive_dislotwin_MaxTwinFraction, & !< maximum allowed total twin volume fraction
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constitutive_dislotwin_r, & !< r-exponent in twin nucleation rate
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constitutive_dislotwin_CEdgeDipMinDistance, & !<
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constitutive_dislotwin_Cmfptwin, & !<
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constitutive_dislotwin_Cthresholdtwin, & !<
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constitutive_dislotwin_SolidSolutionStrength, & !< Strength due to elements in solid solution
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constitutive_dislotwin_L0, & !< Length of twin nuclei in Burgers vectors
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constitutive_dislotwin_xc, & !< critical distance for formation of twin nucleus
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constitutive_dislotwin_VcrossSlip, & !< cross slip volume
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constitutive_dislotwin_sbResistance, & !< value for shearband resistance (might become an internal state variable at some point)
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constitutive_dislotwin_sbVelocity, & !< value for shearband velocity_0
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constitutive_dislotwin_sbQedge, & !< value for shearband systems Qedge
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constitutive_dislotwin_SFE_0K, & !< stacking fault energy at zero K
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constitutive_dislotwin_dSFE_dT, & !< temperature dependance of stacking fault energy
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constitutive_dislotwin_aTolRho, & !< absolute tolerance for integration of dislocation density
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constitutive_dislotwin_aTolTwinFrac !< absolute tolerance for integration of twin volume fraction
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real(pReal), dimension(:,:,:), allocatable, private :: &
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constitutive_dislotwin_Cslip_66 !< elasticity matrix in Mandel notation for each instance
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real(pReal), dimension(:,:,:,:), allocatable, private :: &
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constitutive_dislotwin_Ctwin_66 !< twin elasticity matrix in Mandel notation for each instance
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real(pReal), dimension(:,:,:,:,:), allocatable, private :: &
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constitutive_dislotwin_Cslip_3333 !< elasticity matrix for each instance
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real(pReal), dimension(:,:,:,:,:,:), allocatable, private :: &
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constitutive_dislotwin_Ctwin_3333 !< twin elasticity matrix for each instance
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real(pReal), dimension(:,:), allocatable, private :: &
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constitutive_dislotwin_rhoEdge0, & !< initial edge dislocation density per slip system for each family and instance
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constitutive_dislotwin_rhoEdgeDip0, & !< initial edge dipole density per slip system for each family and instance
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constitutive_dislotwin_burgersPerSlipFamily, & !< absolute length of burgers vector [m] for each slip family and instance
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constitutive_dislotwin_burgersPerSlipSystem, & !< absolute length of burgers vector [m] for each slip system and instance
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constitutive_dislotwin_burgersPerTwinFamily, & !< absolute length of burgers vector [m] for each twin family and instance
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constitutive_dislotwin_burgersPerTwinSystem, & !< absolute length of burgers vector [m] for each twin system and instance
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constitutive_dislotwin_QedgePerSlipFamily, & !< activation energy for glide [J] for each slip family and instance
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constitutive_dislotwin_QedgePerSlipSystem, & !< activation energy for glide [J] for each slip system and instance
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constitutive_dislotwin_v0PerSlipFamily, & !< dislocation velocity prefactor [m/s] for each family and instance
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constitutive_dislotwin_v0PerSlipSystem, & !< dislocation velocity prefactor [m/s] for each slip system and instance
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constitutive_dislotwin_Ndot0PerTwinFamily, & !< twin nucleation rate [1/m³s] for each twin family and instance
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constitutive_dislotwin_Ndot0PerTwinSystem, & !< twin nucleation rate [1/m³s] for each twin system and instance
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constitutive_dislotwin_tau_r, & !< stress to bring partial close together for each twin system and instance
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constitutive_dislotwin_twinsizePerTwinFamily, & !< twin thickness [m] for each twin family and instance
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constitutive_dislotwin_twinsizePerTwinSystem, & !< twin thickness [m] for each twin system and instance
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constitutive_dislotwin_CLambdaSlipPerSlipFamily, & !< Adj. parameter for distance between 2 forest dislocations for each slip family and instance
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constitutive_dislotwin_CLambdaSlipPerSlipSystem, & !< Adj. parameter for distance between 2 forest dislocations for each slip system and instance
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constitutive_dislotwin_interaction_SlipSlip, & !< coefficients for slip-slip interaction for each interaction type and instance
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constitutive_dislotwin_interaction_SlipTwin, & !< coefficients for slip-twin interaction for each interaction type and instance
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constitutive_dislotwin_interaction_TwinSlip, & !< coefficients for twin-slip interaction for each interaction type and instance
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constitutive_dislotwin_interaction_TwinTwin !< coefficients for twin-twin interaction for each interaction type and instance
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real(pReal), dimension(:,:,:), allocatable, private :: &
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constitutive_dislotwin_interactionMatrix_SlipSlip, & !< interaction matrix of the different slip systems for each instance
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constitutive_dislotwin_interactionMatrix_SlipTwin, & !< interaction matrix of slip systems with twin systems for each instance
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constitutive_dislotwin_interactionMatrix_TwinSlip, & !< interaction matrix of twin systems with slip systems for each instance
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constitutive_dislotwin_interactionMatrix_TwinTwin, & !< interaction matrix of the different twin systems for each instance
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constitutive_dislotwin_forestProjectionEdge !< matrix of forest projections of edge dislocations for each instance
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real(pReal), dimension(:,:,:,:,:), allocatable, private :: &
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constitutive_dislotwin_sbSv
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public :: &
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constitutive_dislotwin_init, &
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constitutive_dislotwin_stateInit, &
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constitutive_dislotwin_aTolState, &
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constitutive_dislotwin_homogenizedC, &
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constitutive_dislotwin_microstructure, &
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constitutive_dislotwin_LpAndItsTangent, &
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constitutive_dislotwin_dotState, &
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constitutive_dislotwin_deltaState, &
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constitutive_dislotwin_dotTemperature, &
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constitutive_dislotwin_postResults
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief module initialization
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!> @details reads in material parameters, allocates arrays, and does sanity checks
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!--------------------------------------------------------------------------------------------------
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subroutine constitutive_dislotwin_init(file)
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use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
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use debug, only: &
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debug_level,&
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debug_constitutive,&
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debug_levelBasic
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use math, only: &
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math_Mandel3333to66, &
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math_Voigt66to3333, &
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math_mul3x3
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use mesh, only: &
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mesh_maxNips, &
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mesh_NcpElems
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use IO
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use material
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use lattice
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implicit none
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integer(pInt), intent(in) :: file
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integer(pInt), parameter :: maxNchunks = 21_pInt
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integer(pInt), dimension(1+2*maxNchunks) :: positions
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integer(pInt), dimension(7) :: configNchunks
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integer(pInt) :: section = 0_pInt, maxNinstance,mySize=0_pInt,structID,maxTotalNslip,maxTotalNtwin,&
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f,i,j,k,l,m,n,o,p,q,r,s,ns,nt, &
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Nchunks_SlipSlip, Nchunks_SlipTwin, Nchunks_TwinSlip, Nchunks_TwinTwin, &
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Nchunks_SlipFamilies, Nchunks_TwinFamilies, &
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index_myFamily, index_otherFamily
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character(len=65536) :: tag
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character(len=65536) :: line = '' ! to start initialized
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write(6,'(/,a)') ' <<<+- constitutive_'//trim(constitutive_dislotwin_LABEL)//' init -+>>>'
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write(6,'(a)') ' $Id$'
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write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
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#include "compilation_info.f90"
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maxNinstance = int(count(phase_plasticity == constitutive_dislotwin_label),pInt)
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if (maxNinstance == 0_pInt) return
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if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) &
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write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
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Nchunks_SlipFamilies = lattice_maxNslipFamily
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Nchunks_TwinFamilies = lattice_maxNtwinFamily
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Nchunks_SlipSlip = lattice_maxNinteraction
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Nchunks_SlipTwin = lattice_maxNinteraction
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Nchunks_TwinSlip = lattice_maxNinteraction
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Nchunks_TwinTwin = lattice_maxNinteraction
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!* Space allocation for global variables
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allocate(constitutive_dislotwin_sizeDotState(maxNinstance))
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constitutive_dislotwin_sizeDotState = 0_pInt
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allocate(constitutive_dislotwin_sizeState(maxNinstance))
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constitutive_dislotwin_sizeState = 0_pInt
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allocate(constitutive_dislotwin_sizePostResults(maxNinstance))
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constitutive_dislotwin_sizePostResults = 0_pInt
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allocate(constitutive_dislotwin_sizePostResult(maxval(phase_Noutput),maxNinstance))
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constitutive_dislotwin_sizePostResult = 0_pInt
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allocate(constitutive_dislotwin_output(maxval(phase_Noutput),maxNinstance))
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constitutive_dislotwin_output = ''
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allocate(constitutive_dislotwin_Noutput(maxNinstance))
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constitutive_dislotwin_Noutput = 0_pInt
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allocate(constitutive_dislotwin_structureName(maxNinstance))
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constitutive_dislotwin_structureName = ''
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allocate(constitutive_dislotwin_structure(maxNinstance))
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constitutive_dislotwin_structure = 0_pInt
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allocate(constitutive_dislotwin_Nslip(lattice_maxNslipFamily,maxNinstance))
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constitutive_dislotwin_Nslip = 0_pInt
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allocate(constitutive_dislotwin_Ntwin(lattice_maxNtwinFamily,maxNinstance))
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constitutive_dislotwin_Ntwin = 0_pInt
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allocate(constitutive_dislotwin_totalNslip(maxNinstance))
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constitutive_dislotwin_totalNslip = 0_pInt
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allocate(constitutive_dislotwin_totalNtwin(maxNinstance))
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constitutive_dislotwin_totalNtwin = 0_pInt
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allocate(constitutive_dislotwin_CoverA(maxNinstance))
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constitutive_dislotwin_CoverA = 0.0_pReal
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allocate(constitutive_dislotwin_Gmod(maxNinstance))
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constitutive_dislotwin_Gmod = 0.0_pReal
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allocate(constitutive_dislotwin_nu(maxNinstance))
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constitutive_dislotwin_nu = 0.0_pReal
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allocate(constitutive_dislotwin_CAtomicVolume(maxNinstance))
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constitutive_dislotwin_CAtomicVolume = 0.0_pReal
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allocate(constitutive_dislotwin_D0(maxNinstance))
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constitutive_dislotwin_D0 = 0.0_pReal
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allocate(constitutive_dislotwin_Qsd(maxNinstance))
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constitutive_dislotwin_Qsd = 0.0_pReal
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allocate(constitutive_dislotwin_GrainSize(maxNinstance))
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constitutive_dislotwin_GrainSize = 0.0_pReal
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allocate(constitutive_dislotwin_p(maxNinstance))
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constitutive_dislotwin_p = 0.0_pReal
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allocate(constitutive_dislotwin_q(maxNinstance))
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constitutive_dislotwin_q = 0.0_pReal
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allocate(constitutive_dislotwin_MaxTwinFraction(maxNinstance))
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constitutive_dislotwin_MaxTwinFraction = 0.0_pReal
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allocate(constitutive_dislotwin_r(maxNinstance))
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constitutive_dislotwin_r = 0.0_pReal
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allocate(constitutive_dislotwin_CEdgeDipMinDistance(maxNinstance))
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constitutive_dislotwin_CEdgeDipMinDistance = 0.0_pReal
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allocate(constitutive_dislotwin_Cmfptwin(maxNinstance))
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constitutive_dislotwin_Cmfptwin = 0.0_pReal
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allocate(constitutive_dislotwin_Cthresholdtwin(maxNinstance))
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constitutive_dislotwin_Cthresholdtwin = 0.0_pReal
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allocate(constitutive_dislotwin_SolidSolutionStrength(maxNinstance))
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constitutive_dislotwin_SolidSolutionStrength = 0.0_pReal
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allocate(constitutive_dislotwin_L0(maxNinstance))
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constitutive_dislotwin_L0 = 0.0_pReal
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allocate(constitutive_dislotwin_xc(maxNinstance))
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constitutive_dislotwin_xc = 0.0_pReal
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allocate(constitutive_dislotwin_VcrossSlip(maxNinstance))
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constitutive_dislotwin_VcrossSlip = 0.0_pReal
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allocate(constitutive_dislotwin_aTolRho(maxNinstance))
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constitutive_dislotwin_aTolRho = 0.0_pReal
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allocate(constitutive_dislotwin_aTolTwinFrac(maxNinstance))
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constitutive_dislotwin_aTolTwinFrac = 0.0_pReal
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allocate(constitutive_dislotwin_Cslip_66(6,6,maxNinstance))
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constitutive_dislotwin_Cslip_66 = 0.0_pReal
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allocate(constitutive_dislotwin_Cslip_3333(3,3,3,3,maxNinstance))
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constitutive_dislotwin_Cslip_3333 = 0.0_pReal
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allocate(constitutive_dislotwin_sbResistance(maxNinstance))
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constitutive_dislotwin_sbResistance = 0.0_pReal
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allocate(constitutive_dislotwin_sbVelocity(maxNinstance))
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constitutive_dislotwin_sbVelocity = 0.0_pReal
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allocate(constitutive_dislotwin_sbQedge(maxNinstance))
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constitutive_dislotwin_sbQedge = 0.0_pReal
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allocate(constitutive_dislotwin_SFE_0K(maxNinstance))
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constitutive_dislotwin_SFE_0K = 0.0_pReal
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allocate(constitutive_dislotwin_dSFE_dT(maxNinstance))
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constitutive_dislotwin_dSFE_dT = 0.0_pReal
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allocate(constitutive_dislotwin_rhoEdge0(lattice_maxNslipFamily,maxNinstance))
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constitutive_dislotwin_rhoEdge0 = 0.0_pReal
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allocate(constitutive_dislotwin_rhoEdgeDip0(lattice_maxNslipFamily,maxNinstance))
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constitutive_dislotwin_rhoEdgeDip0 = 0.0_pReal
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allocate(constitutive_dislotwin_burgersPerSlipFamily(lattice_maxNslipFamily,maxNinstance))
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constitutive_dislotwin_burgersPerSlipFamily = 0.0_pReal
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allocate(constitutive_dislotwin_burgersPerTwinFamily(lattice_maxNtwinFamily,maxNinstance))
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constitutive_dislotwin_burgersPerTwinFamily = 0.0_pReal
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allocate(constitutive_dislotwin_QedgePerSlipFamily(lattice_maxNslipFamily,maxNinstance))
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constitutive_dislotwin_QedgePerSlipFamily = 0.0_pReal
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allocate(constitutive_dislotwin_v0PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
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constitutive_dislotwin_v0PerSlipFamily = 0.0_pReal
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allocate(constitutive_dislotwin_Ndot0PerTwinFamily(lattice_maxNtwinFamily,maxNinstance))
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constitutive_dislotwin_Ndot0PerTwinFamily = 0.0_pReal
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allocate(constitutive_dislotwin_twinsizePerTwinFamily(lattice_maxNtwinFamily,maxNinstance))
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constitutive_dislotwin_twinsizePerTwinFamily = 0.0_pReal
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allocate(constitutive_dislotwin_CLambdaSlipPerSlipFamily(lattice_maxNslipFamily,maxNinstance))
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constitutive_dislotwin_CLambdaSlipPerSlipFamily = 0.0_pReal
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allocate(constitutive_dislotwin_interaction_SlipSlip(lattice_maxNinteraction,maxNinstance))
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constitutive_dislotwin_interaction_SlipSlip = 0.0_pReal
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allocate(constitutive_dislotwin_interaction_SlipTwin(lattice_maxNinteraction,maxNinstance))
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constitutive_dislotwin_interaction_SlipTwin = 0.0_pReal
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allocate(constitutive_dislotwin_interaction_TwinSlip(lattice_maxNinteraction,maxNinstance))
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constitutive_dislotwin_interaction_TwinSlip = 0.0_pReal
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allocate(constitutive_dislotwin_interaction_TwinTwin(lattice_maxNinteraction,maxNinstance))
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constitutive_dislotwin_interaction_TwinTwin = 0.0_pReal
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allocate(constitutive_dislotwin_sbSv(6,6,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems))
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constitutive_dislotwin_sbSv = 0.0_pReal
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!* Readout data from material.config file
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rewind(file)
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do while (trim(line) /= '#EOF#' .and. IO_lc(IO_getTag(line,'<','>')) /= 'phase') ! wind forward to <phase>
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line = IO_read(file)
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enddo
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do while (trim(line) /= '#EOF#') ! read thru sections of phase part
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line = IO_read(file)
|
|
if (IO_isBlank(line)) cycle ! skip empty lines
|
|
if (IO_getTag(line,'<','>') /= '') exit ! stop at next part
|
|
if (IO_getTag(line,'[',']') /= '') then ! next section
|
|
section = section + 1_pInt ! advance section counter
|
|
cycle
|
|
endif
|
|
if (section > 0_pInt ) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
|
|
if (phase_plasticity(section) == constitutive_dislotwin_LABEL) then ! one of my sections
|
|
i = phase_plasticityInstance(section) ! which instance of my plasticity is present phase
|
|
positions = IO_stringPos(line,maxNchunks)
|
|
tag = IO_lc(IO_stringValue(line,positions,1_pInt)) ! extract key
|
|
select case(tag)
|
|
case ('plasticity', 'elasticity')
|
|
cycle
|
|
case ('(output)')
|
|
constitutive_dislotwin_Noutput(i) = constitutive_dislotwin_Noutput(i) + 1_pInt
|
|
constitutive_dislotwin_output(constitutive_dislotwin_Noutput(i),i) = IO_lc(IO_stringValue(line,positions,2_pInt))
|
|
case ('lattice_structure')
|
|
constitutive_dislotwin_structureName(i) = IO_lc(IO_stringValue(line,positions,2_pInt))
|
|
configNchunks = lattice_configNchunks(constitutive_dislotwin_structureName(i))
|
|
Nchunks_SlipFamilies = configNchunks(1)
|
|
Nchunks_TwinFamilies = configNchunks(2)
|
|
Nchunks_SlipSlip = configNchunks(3)
|
|
Nchunks_SlipTwin = configNchunks(4)
|
|
Nchunks_TwinSlip = configNchunks(5)
|
|
Nchunks_TwinTwin = configNchunks(6)
|
|
case ('covera_ratio')
|
|
constitutive_dislotwin_CoverA(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('c11')
|
|
constitutive_dislotwin_Cslip_66(1,1,i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('c12')
|
|
constitutive_dislotwin_Cslip_66(1,2,i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('c13')
|
|
constitutive_dislotwin_Cslip_66(1,3,i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('c22')
|
|
constitutive_dislotwin_Cslip_66(2,2,i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('c23')
|
|
constitutive_dislotwin_Cslip_66(2,3,i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('c33')
|
|
constitutive_dislotwin_Cslip_66(3,3,i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('c44')
|
|
constitutive_dislotwin_Cslip_66(4,4,i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('c55')
|
|
constitutive_dislotwin_Cslip_66(5,5,i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('c66')
|
|
constitutive_dislotwin_Cslip_66(6,6,i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('nslip')
|
|
if (positions(1) < 1_pInt + Nchunks_SlipFamilies) then
|
|
call IO_warning(50_pInt,ext_msg=trim(tag)//' ('//CONSTITUTIVE_DISLOTWIN_LABEL//')')
|
|
endif
|
|
Nchunks_SlipFamilies = positions(1) - 1_pInt
|
|
do j = 1_pInt, Nchunks_SlipFamilies
|
|
constitutive_dislotwin_Nslip(j,i) = IO_intValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('ntwin')
|
|
if (positions(1) < 1_pInt + Nchunks_TwinFamilies) then
|
|
call IO_warning(51_pInt,ext_msg=trim(tag)//' ('//CONSTITUTIVE_DISLOTWIN_LABEL//')')
|
|
endif
|
|
Nchunks_TwinFamilies = positions(1) - 1_pInt
|
|
do j = 1_pInt, Nchunks_TwinFamilies
|
|
constitutive_dislotwin_Ntwin(j,i) = IO_intValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('rhoedge0')
|
|
do j = 1_pInt, Nchunks_SlipFamilies
|
|
constitutive_dislotwin_rhoEdge0(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('rhoedgedip0')
|
|
do j = 1_pInt, Nchunks_SlipFamilies
|
|
constitutive_dislotwin_rhoEdgeDip0(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('slipburgers')
|
|
do j = 1_pInt, Nchunks_SlipFamilies
|
|
constitutive_dislotwin_burgersPerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('twinburgers')
|
|
do j = 1_pInt, Nchunks_TwinFamilies
|
|
constitutive_dislotwin_burgersPerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('qedge')
|
|
do j = 1_pInt, Nchunks_SlipFamilies
|
|
constitutive_dislotwin_QedgePerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('v0')
|
|
do j = 1_pInt, Nchunks_SlipFamilies
|
|
constitutive_dislotwin_v0PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('ndot0')
|
|
do j = 1_pInt, Nchunks_TwinFamilies
|
|
constitutive_dislotwin_Ndot0PerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('twinsize')
|
|
do j = 1_pInt, Nchunks_TwinFamilies
|
|
constitutive_dislotwin_twinsizePerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('clambdaslip')
|
|
do j = 1_pInt, Nchunks_SlipFamilies
|
|
constitutive_dislotwin_CLambdaSlipPerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('grainsize')
|
|
constitutive_dislotwin_GrainSize(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('maxtwinfraction')
|
|
constitutive_dislotwin_MaxTwinFraction(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('pexponent')
|
|
constitutive_dislotwin_p(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('qexponent')
|
|
constitutive_dislotwin_q(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('rexponent')
|
|
constitutive_dislotwin_r(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('d0')
|
|
constitutive_dislotwin_D0(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('qsd')
|
|
constitutive_dislotwin_Qsd(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('atol_rho')
|
|
constitutive_dislotwin_aTolRho(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('atol_twinfrac')
|
|
constitutive_dislotwin_aTolTwinFrac(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('cmfptwin')
|
|
constitutive_dislotwin_Cmfptwin(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('cthresholdtwin')
|
|
constitutive_dislotwin_Cthresholdtwin(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('solidsolutionstrength')
|
|
constitutive_dislotwin_SolidSolutionStrength(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('l0')
|
|
constitutive_dislotwin_L0(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('xc')
|
|
constitutive_dislotwin_xc(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('vcrossslip')
|
|
constitutive_dislotwin_VcrossSlip(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('cedgedipmindistance')
|
|
constitutive_dislotwin_CEdgeDipMinDistance(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('catomicvolume')
|
|
constitutive_dislotwin_CAtomicVolume(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('interaction_slipslip','interactionslipslip')
|
|
if (positions(1) < 1_pInt + Nchunks_SlipSlip) then
|
|
call IO_error(213_pInt,ext_msg=trim(tag)//' ('//CONSTITUTIVE_DISLOTWIN_LABEL//')')
|
|
endif
|
|
do j = 1_pInt, Nchunks_SlipSlip
|
|
constitutive_dislotwin_interaction_SlipSlip(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('interaction_sliptwin','interactionsliptwin')
|
|
if (positions(1) < 1_pInt + Nchunks_SlipTwin) then
|
|
call IO_error(213_pInt,ext_msg=trim(tag)//' ('//CONSTITUTIVE_DISLOTWIN_LABEL//')')
|
|
endif
|
|
do j = 1_pInt, Nchunks_SlipTwin
|
|
constitutive_dislotwin_interaction_SlipTwin(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('interaction_twinslip','interactiontwinslip')
|
|
if (positions(1) < 1_pInt + Nchunks_TwinSlip) then
|
|
call IO_error(213_pInt,ext_msg=trim(tag)//' ('//CONSTITUTIVE_DISLOTWIN_LABEL//')')
|
|
endif
|
|
do j = 1_pInt, Nchunks_TwinSlip
|
|
constitutive_dislotwin_interaction_TwinSlip(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('interaction_twintwin','interactiontwintwin')
|
|
if (positions(1) < 1_pInt + Nchunks_TwinTwin) then
|
|
call IO_error(213_pInt,ext_msg=trim(tag)//' ('//CONSTITUTIVE_DISLOTWIN_LABEL//')')
|
|
endif
|
|
do j = 1_pInt, Nchunks_TwinTwin
|
|
constitutive_dislotwin_interaction_TwinTwin(j,i) = IO_floatValue(line,positions,1_pInt+j)
|
|
enddo
|
|
case ('sfe_0k')
|
|
constitutive_dislotwin_SFE_0K(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('dsfe_dt')
|
|
constitutive_dislotwin_dSFE_dT(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('shearbandresistance')
|
|
constitutive_dislotwin_sbResistance(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('shearbandvelocity')
|
|
constitutive_dislotwin_sbVelocity(i) = IO_floatValue(line,positions,2_pInt)
|
|
case ('qedgepersbsystem')
|
|
constitutive_dislotwin_sbQedge(i) = IO_floatValue(line,positions,2_pInt)
|
|
case default
|
|
call IO_error(210_pInt,ext_msg=trim(tag)//' ('//constitutive_dislotwin_label//')')
|
|
end select
|
|
endif
|
|
endif
|
|
enddo
|
|
|
|
sanityChecks: do i = 1_pInt,maxNinstance
|
|
constitutive_dislotwin_structure(i) = &
|
|
lattice_initializeStructure(constitutive_dislotwin_structureName(i),constitutive_dislotwin_CoverA(i))
|
|
structID = constitutive_dislotwin_structure(i)
|
|
|
|
if (structID < 1_pInt) call IO_error(205_pInt,el=i)
|
|
if (sum(constitutive_dislotwin_Nslip(:,i)) < 0_pInt) call IO_error(211_pInt,el=i,ext_msg='Nslip (' &
|
|
//constitutive_dislotwin_label//')')
|
|
if (sum(constitutive_dislotwin_Ntwin(:,i)) < 0_pInt) call IO_error(211_pInt,el=i,ext_msg='Ntwin (' &
|
|
//constitutive_dislotwin_label//')')
|
|
do f = 1_pInt,lattice_maxNslipFamily
|
|
if (constitutive_dislotwin_Nslip(f,i) > 0_pInt) then
|
|
if (constitutive_dislotwin_rhoEdge0(f,i) < 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='rhoEdge0 (' &
|
|
//constitutive_dislotwin_label//')')
|
|
if (constitutive_dislotwin_rhoEdgeDip0(f,i) < 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='rhoEdgeDip0 (' &
|
|
//constitutive_dislotwin_label//')')
|
|
if (constitutive_dislotwin_burgersPerSlipFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='slipBurgers (' &
|
|
//constitutive_dislotwin_label//')')
|
|
if (constitutive_dislotwin_v0PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='v0 (' &
|
|
//constitutive_dislotwin_label//')')
|
|
endif
|
|
enddo
|
|
do f = 1_pInt,lattice_maxNtwinFamily
|
|
if (constitutive_dislotwin_Ntwin(f,i) > 0_pInt) then
|
|
if (constitutive_dislotwin_burgersPerTwinFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='twinburgers (' &
|
|
//constitutive_dislotwin_label//')')
|
|
if (constitutive_dislotwin_Ndot0PerTwinFamily(f,i) < 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='ndot0 (' &
|
|
//constitutive_dislotwin_label//')')
|
|
endif
|
|
enddo
|
|
if (constitutive_dislotwin_CAtomicVolume(i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='cAtomicVolume (' &
|
|
//constitutive_dislotwin_label//')')
|
|
if (constitutive_dislotwin_D0(i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='D0 (' &
|
|
//constitutive_dislotwin_label//')')
|
|
if (constitutive_dislotwin_Qsd(i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='Qsd (' &
|
|
//constitutive_dislotwin_label//')')
|
|
if (constitutive_dislotwin_SFE_0K(i) == 0.0_pReal .and. &
|
|
constitutive_dislotwin_dSFE_dT(i) == 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='SFE (' &
|
|
//constitutive_dislotwin_label//')')
|
|
if (constitutive_dislotwin_aTolRho(i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='aTolRho (' &
|
|
//constitutive_dislotwin_label//')')
|
|
if (constitutive_dislotwin_aTolTwinFrac(i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='aTolTwinFrac (' &
|
|
//constitutive_dislotwin_label//')')
|
|
if (constitutive_dislotwin_sbResistance(i) < 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='sbResistance (' &
|
|
//constitutive_dislotwin_label//')')
|
|
if (constitutive_dislotwin_sbVelocity(i) < 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='sbVelocity (' &
|
|
//constitutive_dislotwin_label//')')
|
|
|
|
!* Determine total number of active slip or twin systems
|
|
constitutive_dislotwin_Nslip(:,i) = min(lattice_NslipSystem(:,structID),constitutive_dislotwin_Nslip(:,i))
|
|
constitutive_dislotwin_Ntwin(:,i) = min(lattice_NtwinSystem(:,structID),constitutive_dislotwin_Ntwin(:,i))
|
|
constitutive_dislotwin_totalNslip(i) = sum(constitutive_dislotwin_Nslip(:,i))
|
|
constitutive_dislotwin_totalNtwin(i) = sum(constitutive_dislotwin_Ntwin(:,i))
|
|
enddo sanityChecks
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
! allocation of variables whose size depends on the total number of active slip systems
|
|
maxTotalNslip = maxval(constitutive_dislotwin_totalNslip)
|
|
maxTotalNtwin = maxval(constitutive_dislotwin_totalNtwin)
|
|
|
|
!write(6,*) 'nslip',i,constitutive_dislotwin_totalNslip(i),maxTotalNslip
|
|
!write(6,*) 'ntwin',i,constitutive_dislotwin_totalNtwin(i),maxTotalNtwin
|
|
|
|
allocate(constitutive_dislotwin_burgersPerSlipSystem(maxTotalNslip, maxNinstance))
|
|
constitutive_dislotwin_burgersPerSlipSystem = 0.0_pReal
|
|
allocate(constitutive_dislotwin_burgersPerTwinSystem(maxTotalNtwin, maxNinstance))
|
|
constitutive_dislotwin_burgersPerTwinSystem= 0.0_pReal
|
|
allocate(constitutive_dislotwin_QedgePerSlipSystem(maxTotalNslip, maxNinstance))
|
|
constitutive_dislotwin_QedgePerSlipSystem = 0.0_pReal
|
|
allocate(constitutive_dislotwin_v0PerSlipSystem(maxTotalNslip, maxNinstance))
|
|
constitutive_dislotwin_v0PerSlipSystem = 0.0_pReal
|
|
allocate(constitutive_dislotwin_Ndot0PerTwinSystem(maxTotalNtwin, maxNinstance))
|
|
constitutive_dislotwin_Ndot0PerTwinSystem = 0.0_pReal
|
|
allocate(constitutive_dislotwin_tau_r(maxTotalNtwin, maxNinstance))
|
|
constitutive_dislotwin_tau_r = 0.0_pReal
|
|
allocate(constitutive_dislotwin_twinsizePerTwinSystem(maxTotalNtwin, maxNinstance))
|
|
constitutive_dislotwin_twinsizePerTwinSystem = 0.0_pReal
|
|
allocate(constitutive_dislotwin_CLambdaSlipPerSlipSystem(maxTotalNslip, maxNinstance))
|
|
constitutive_dislotwin_CLambdaSlipPerSlipSystem = 0.0_pReal
|
|
|
|
allocate(constitutive_dislotwin_interactionMatrix_SlipSlip(maxTotalNslip,maxTotalNslip,maxNinstance))
|
|
constitutive_dislotwin_interactionMatrix_SlipSlip = 0.0_pReal
|
|
allocate(constitutive_dislotwin_interactionMatrix_SlipTwin(maxTotalNslip,maxTotalNtwin,maxNinstance))
|
|
constitutive_dislotwin_interactionMatrix_SlipTwin = 0.0_pReal
|
|
allocate(constitutive_dislotwin_interactionMatrix_TwinSlip(maxTotalNtwin,maxTotalNslip,maxNinstance))
|
|
constitutive_dislotwin_interactionMatrix_TwinSlip = 0.0_pReal
|
|
allocate(constitutive_dislotwin_interactionMatrix_TwinTwin(maxTotalNtwin,maxTotalNtwin,maxNinstance))
|
|
constitutive_dislotwin_interactionMatrix_TwinTwin = 0.0_pReal
|
|
allocate(constitutive_dislotwin_forestProjectionEdge(maxTotalNslip,maxTotalNslip,maxNinstance))
|
|
constitutive_dislotwin_forestProjectionEdge = 0.0_pReal
|
|
|
|
allocate(constitutive_dislotwin_Ctwin_66(6,6,maxTotalNtwin,maxNinstance))
|
|
constitutive_dislotwin_Ctwin_66 = 0.0_pReal
|
|
allocate(constitutive_dislotwin_Ctwin_3333(3,3,3,3,maxTotalNtwin,maxNinstance))
|
|
constitutive_dislotwin_Ctwin_3333 = 0.0_pReal
|
|
|
|
instancesLoop: do i = 1_pInt,maxNinstance
|
|
structID = constitutive_dislotwin_structure(i)
|
|
|
|
ns = constitutive_dislotwin_totalNslip(i)
|
|
nt = constitutive_dislotwin_totalNtwin(i)
|
|
! write(6,*) 'instance',i,'has nslip and ntwin',ns,nt
|
|
|
|
!* Determine size of state array
|
|
constitutive_dislotwin_sizeDotState(i) = int(size(CONSTITUTIVE_DISLOTWIN_listBasicSlipStates),pInt) * ns &
|
|
+ int(size(CONSTITUTIVE_DISLOTWIN_listBasicTwinStates),pInt) * nt
|
|
constitutive_dislotwin_sizeState(i) = constitutive_dislotwin_sizeDotState(i) &
|
|
+ int(size(CONSTITUTIVE_DISLOTWIN_listDependentSlipStates),pInt) * ns &
|
|
+ int(size(CONSTITUTIVE_DISLOTWIN_listDependentTwinStates),pInt) * nt
|
|
|
|
!* Determine size of postResults array
|
|
outputsLoop: do o = 1_pInt,constitutive_dislotwin_Noutput(i)
|
|
select case(constitutive_dislotwin_output(o,i))
|
|
case('edge_density', &
|
|
'dipole_density', &
|
|
'shear_rate_slip', &
|
|
'accumulated_shear_slip', &
|
|
'mfp_slip', &
|
|
'resolved_stress_slip', &
|
|
'threshold_stress_slip', &
|
|
'edge_dipole_distance', &
|
|
'stress_exponent' &
|
|
)
|
|
mySize = ns
|
|
case('twin_fraction', &
|
|
'shear_rate_twin', &
|
|
'accumulated_shear_twin', &
|
|
'mfp_twin', &
|
|
'resolved_stress_twin', &
|
|
'threshold_stress_twin' &
|
|
)
|
|
mySize = nt
|
|
case('resolved_stress_shearband', &
|
|
'shear_rate_shearband' &
|
|
)
|
|
mySize = 6_pInt
|
|
case('sb_eigenvalues')
|
|
mySize = 3_pInt
|
|
case('sb_eigenvectors')
|
|
mySize = 9_pInt
|
|
case default
|
|
call IO_error(212_pInt,ext_msg=constitutive_dislotwin_output(o,i)//' ('//constitutive_dislotwin_label//')')
|
|
end select
|
|
|
|
if (mySize > 0_pInt) then ! any meaningful output found
|
|
constitutive_dislotwin_sizePostResult(o,i) = mySize
|
|
constitutive_dislotwin_sizePostResults(i) = constitutive_dislotwin_sizePostResults(i) + mySize
|
|
endif
|
|
enddo outputsLoop
|
|
|
|
|
|
!* Elasticity matrix and shear modulus according to material.config
|
|
constitutive_dislotwin_Cslip_66(1:6,1:6,i) = lattice_symmetrizeC66(constitutive_dislotwin_structureName(i),&
|
|
constitutive_dislotwin_Cslip_66(:,:,i))
|
|
constitutive_dislotwin_Gmod(i) = &
|
|
0.2_pReal*(constitutive_dislotwin_Cslip_66(1,1,i)-constitutive_dislotwin_Cslip_66(1,2,i)) &
|
|
+0.6_pReal*constitutive_dislotwin_Cslip_66(4,4,i) ! (C11iso-C12iso)/2 with C11iso=(3*C11+2*C12+4*C44)/5 and C12iso=(C11+4*C12-2*C44)/5
|
|
constitutive_dislotwin_nu(i) = ( constitutive_dislotwin_Cslip_66(1,1,i) + 4.0_pReal*constitutive_dislotwin_Cslip_66(1,2,i) &
|
|
- 2.0_pReal*constitutive_dislotwin_Cslip_66(1,2,i) ) &
|
|
/ ( 4.0_pReal*constitutive_dislotwin_Cslip_66(1,1,i) + 6.0_pReal*constitutive_dislotwin_Cslip_66(1,2,i) &
|
|
+ 2.0_pReal*constitutive_dislotwin_Cslip_66(4,4,i) )
|
|
constitutive_dislotwin_Cslip_66(1:6,1:6,i) = &
|
|
math_Mandel3333to66(math_Voigt66to3333(constitutive_dislotwin_Cslip_66(1:6,1:6,i)))
|
|
constitutive_dislotwin_Cslip_3333(1:3,1:3,1:3,1:3,i) = &
|
|
math_Voigt66to3333(constitutive_dislotwin_Cslip_66(1:6,1:6,i))
|
|
|
|
|
|
!* Process slip related parameters ------------------------------------------------
|
|
|
|
do f = 1_pInt,lattice_maxNslipFamily
|
|
index_myFamily = sum(constitutive_dislotwin_Nslip(1:f-1_pInt,i)) ! index in truncated slip system list
|
|
|
|
do j = 1_pInt,constitutive_dislotwin_Nslip(f,i) ! system in family
|
|
|
|
!* Burgers vector,
|
|
! dislocation velocity prefactor,
|
|
! mean free path prefactor,
|
|
! and minimum dipole distance
|
|
|
|
constitutive_dislotwin_burgersPerSlipSystem(index_myFamily+j,i) = constitutive_dislotwin_burgersPerSlipFamily(f,i)
|
|
constitutive_dislotwin_QedgePerSlipSystem(index_myFamily+j,i) = constitutive_dislotwin_QedgePerSlipFamily(f,i)
|
|
constitutive_dislotwin_v0PerSlipSystem(index_myFamily+j,i) = constitutive_dislotwin_v0PerSlipFamily(f,i)
|
|
constitutive_dislotwin_CLambdaSlipPerSlipSystem(index_myFamily+j,i) = constitutive_dislotwin_CLambdaSlipPerSlipFamily(f,i)
|
|
|
|
!* Calculation of forest projections for edge dislocations
|
|
!* Interaction matrices
|
|
|
|
do o = 1_pInt,lattice_maxNslipFamily
|
|
index_otherFamily = sum(constitutive_dislotwin_Nslip(1:o-1_pInt,i))
|
|
do k = 1_pInt,constitutive_dislotwin_Nslip(o,i) ! loop over (active) systems in other family (slip)
|
|
constitutive_dislotwin_forestProjectionEdge(index_myFamily+j,index_otherFamily+k,i) = &
|
|
abs(math_mul3x3(lattice_sn(:,sum(lattice_NslipSystem(1:f-1,structID))+j,structID), &
|
|
lattice_st(:,sum(lattice_NslipSystem(1:o-1,structID))+k,structID)))
|
|
constitutive_dislotwin_interactionMatrix_SlipSlip(index_myFamily+j,index_otherFamily+k,i) = &
|
|
constitutive_dislotwin_interaction_SlipSlip(lattice_interactionSlipSlip( &
|
|
sum(lattice_NslipSystem(1:f-1,structID))+j, &
|
|
sum(lattice_NslipSystem(1:o-1,structID))+k, &
|
|
structID), i )
|
|
enddo; enddo
|
|
|
|
do o = 1_pInt,lattice_maxNtwinFamily
|
|
index_otherFamily = sum(constitutive_dislotwin_Ntwin(1:o-1_pInt,i))
|
|
do k = 1_pInt,constitutive_dislotwin_Ntwin(o,i) ! loop over (active) systems in other family (twin)
|
|
constitutive_dislotwin_interactionMatrix_SlipTwin(index_myFamily+j,index_otherFamily+k,i) = &
|
|
constitutive_dislotwin_interaction_SlipTwin(lattice_interactionSlipTwin( &
|
|
sum(lattice_NslipSystem(1:f-1_pInt,structID))+j, &
|
|
sum(lattice_NtwinSystem(1:o-1_pInt,structID))+k, &
|
|
structID), i )
|
|
enddo; enddo
|
|
|
|
enddo ! slip system in family
|
|
enddo ! slip families
|
|
|
|
!* Process twin related parameters ------------------------------------------------
|
|
|
|
do f = 1_pInt,lattice_maxNtwinFamily
|
|
index_myFamily = sum(constitutive_dislotwin_Ntwin(1:f-1_pInt,i)) ! index in truncated twin system list
|
|
|
|
do j = 1_pInt,constitutive_dislotwin_Ntwin(f,i) ! system in family
|
|
|
|
!* Burgers vector,
|
|
! nucleation rate prefactor,
|
|
! and twin size
|
|
|
|
constitutive_dislotwin_burgersPerTwinSystem(index_myFamily+j,i) = constitutive_dislotwin_burgersPerTwinFamily(f,i)
|
|
constitutive_dislotwin_Ndot0PerTwinSystem(index_myFamily+j,i) = constitutive_dislotwin_Ndot0PerTwinFamily(f,i)
|
|
constitutive_dislotwin_twinsizePerTwinSystem(index_myFamily+j,i) = constitutive_dislotwin_twinsizePerTwinFamily(f,i)
|
|
|
|
!* Rotate twin elasticity matrices
|
|
|
|
index_otherFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! index in full lattice twin list
|
|
do l = 1_pInt,3_pInt ; do m = 1_pInt,3_pInt ; do n = 1_pInt,3_pInt ; do o = 1_pInt,3_pInt
|
|
do p = 1_pInt,3_pInt ; do q = 1_pInt,3_pInt ; do r = 1_pInt,3_pInt ; do s = 1_pInt,3_pInt
|
|
constitutive_dislotwin_Ctwin_3333(l,m,n,o,index_myFamily+j,i) = &
|
|
constitutive_dislotwin_Ctwin_3333(l,m,n,o,index_myFamily+j,i) + &
|
|
constitutive_dislotwin_Cslip_3333(p,q,r,s,i) * &
|
|
lattice_Qtwin(l,p,index_otherFamily+j,structID) * &
|
|
lattice_Qtwin(m,q,index_otherFamily+j,structID) * &
|
|
lattice_Qtwin(n,r,index_otherFamily+j,structID) * &
|
|
lattice_Qtwin(o,s,index_otherFamily+j,structID)
|
|
enddo ; enddo ; enddo ; enddo
|
|
enddo ; enddo ; enddo ; enddo
|
|
constitutive_dislotwin_Ctwin_66(1:6,1:6,index_myFamily+j,i) = &
|
|
math_Mandel3333to66(constitutive_dislotwin_Ctwin_3333(1:3,1:3,1:3,1:3,index_myFamily+j,i))
|
|
|
|
!* Interaction matrices
|
|
|
|
do o = 1_pInt,lattice_maxNslipFamily
|
|
index_otherFamily = sum(constitutive_dislotwin_Nslip(1:o-1_pInt,i))
|
|
do k = 1_pInt,constitutive_dislotwin_Nslip(o,i) ! loop over (active) systems in other family (slip)
|
|
constitutive_dislotwin_interactionMatrix_TwinSlip(index_myFamily+j,index_otherFamily+k,i) = &
|
|
constitutive_dislotwin_interaction_TwinSlip(lattice_interactionTwinSlip( &
|
|
sum(lattice_NtwinSystem(1:f-1_pInt,structID))+j, &
|
|
sum(lattice_NslipSystem(1:o-1_pInt,structID))+k, &
|
|
structID), i )
|
|
enddo; enddo
|
|
|
|
do o = 1_pInt,lattice_maxNtwinFamily
|
|
index_otherFamily = sum(constitutive_dislotwin_Ntwin(1:o-1_pInt,i))
|
|
do k = 1_pInt,constitutive_dislotwin_Ntwin(o,i) ! loop over (active) systems in other family (twin)
|
|
constitutive_dislotwin_interactionMatrix_TwinTwin(index_myFamily+j,index_otherFamily+k,i) = &
|
|
constitutive_dislotwin_interaction_TwinTwin(lattice_interactionTwinTwin( &
|
|
sum(lattice_NtwinSystem(1:f-1_pInt,structID))+j, &
|
|
sum(lattice_NtwinSystem(1:o-1_pInt,structID))+k, &
|
|
structID), i )
|
|
enddo; enddo
|
|
|
|
enddo ! twin system in family
|
|
enddo ! twin families
|
|
|
|
enddo instancesLoop
|
|
|
|
end subroutine constitutive_dislotwin_init
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief sets the initial microstructural state for a given instance of this plasticity
|
|
!--------------------------------------------------------------------------------------------------
|
|
function constitutive_dislotwin_stateInit(matID)
|
|
use math, only: &
|
|
pi
|
|
use lattice, only: &
|
|
lattice_maxNslipFamily
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: matID !< number specifying the instance of the plasticity
|
|
|
|
real(pReal), dimension(constitutive_dislotwin_sizeState(matID)) :: &
|
|
constitutive_dislotwin_stateInit
|
|
|
|
integer(pInt) :: i,j,f,ns,nt, index_myFamily
|
|
real(pReal), dimension(constitutive_dislotwin_totalNslip(matID)) :: &
|
|
rhoEdge0, &
|
|
rhoEdgeDip0, &
|
|
invLambdaSlip0, &
|
|
MeanFreePathSlip0, &
|
|
tauSlipThreshold0
|
|
real(pReal), dimension(constitutive_dislotwin_totalNtwin(matID)) :: &
|
|
MeanFreePathTwin0,TwinVolume0
|
|
|
|
ns = constitutive_dislotwin_totalNslip(matID)
|
|
nt = constitutive_dislotwin_totalNtwin(matID)
|
|
constitutive_dislotwin_stateInit = 0.0_pReal
|
|
|
|
!* Initialize basic slip state variables
|
|
|
|
do f = 1_pInt,lattice_maxNslipFamily
|
|
index_myFamily = sum(constitutive_dislotwin_Nslip(1:f-1_pInt,matID)) ! index in truncated slip system list
|
|
rhoEdge0(index_myFamily+1_pInt: &
|
|
index_myFamily+constitutive_dislotwin_Nslip(f,matID)) = &
|
|
constitutive_dislotwin_rhoEdge0(f,matID)
|
|
rhoEdgeDip0(index_myFamily+1_pInt: &
|
|
index_myFamily+constitutive_dislotwin_Nslip(f,matID)) = &
|
|
constitutive_dislotwin_rhoEdgeDip0(f,matID)
|
|
enddo
|
|
|
|
constitutive_dislotwin_stateInit(1_pInt:ns) = rhoEdge0
|
|
constitutive_dislotwin_stateInit(ns+1_pInt:2_pInt*ns) = rhoEdgeDip0
|
|
|
|
!* Initialize dependent slip microstructural variables
|
|
forall (i = 1_pInt:ns) &
|
|
invLambdaSlip0(i) = sqrt(dot_product((rhoEdge0+rhoEdgeDip0),constitutive_dislotwin_forestProjectionEdge(1:ns,i,matID)))/ &
|
|
constitutive_dislotwin_CLambdaSlipPerSlipSystem(i,matID)
|
|
constitutive_dislotwin_stateInit(3_pInt*ns+2_pInt*nt+1:4_pInt*ns+2_pInt*nt) = invLambdaSlip0
|
|
|
|
forall (i = 1_pInt:ns) &
|
|
MeanFreePathSlip0(i) = &
|
|
constitutive_dislotwin_GrainSize(matID)/(1.0_pReal+invLambdaSlip0(i)*constitutive_dislotwin_GrainSize(matID))
|
|
constitutive_dislotwin_stateInit(5_pInt*ns+3_pInt*nt+1:6_pInt*ns+3_pInt*nt) = MeanFreePathSlip0
|
|
|
|
forall (i = 1_pInt:ns) &
|
|
tauSlipThreshold0(i) = constitutive_dislotwin_SolidSolutionStrength(matID) + &
|
|
constitutive_dislotwin_Gmod(matID)*constitutive_dislotwin_burgersPerSlipSystem(i,matID) * &
|
|
sqrt(dot_product((rhoEdge0+rhoEdgeDip0),constitutive_dislotwin_interactionMatrix_SlipSlip(i,1:ns,matID)))
|
|
constitutive_dislotwin_stateInit(6_pInt*ns+4_pInt*nt+1:7_pInt*ns+4_pInt*nt) = tauSlipThreshold0
|
|
|
|
!* Initialize dependent twin microstructural variables
|
|
forall (j = 1_pInt:nt) &
|
|
MeanFreePathTwin0(j) = constitutive_dislotwin_GrainSize(matID)
|
|
constitutive_dislotwin_stateInit(6_pInt*ns+3_pInt*nt+1_pInt:6_pInt*ns+4_pInt*nt) = MeanFreePathTwin0
|
|
|
|
forall (j = 1_pInt:nt) &
|
|
TwinVolume0(j) = &
|
|
(pi/4.0_pReal)*constitutive_dislotwin_twinsizePerTwinSystem(j,matID)*MeanFreePathTwin0(j)**(2.0_pReal)
|
|
constitutive_dislotwin_stateInit(7_pInt*ns+5_pInt*nt+1_pInt:7_pInt*ns+6_pInt*nt) = TwinVolume0
|
|
|
|
!write(6,*) '#STATEINIT#'
|
|
!write(6,*)
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'RhoEdge',rhoEdge0
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'RhoEdgedip',rhoEdgeDip0
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'invLambdaSlip',invLambdaSlip0
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'MeanFreePathSlip',MeanFreePathSlip0
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'tauSlipThreshold', tauSlipThreshold0
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'MeanFreePathTwin', MeanFreePathTwin0
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'TwinVolume', TwinVolume0
|
|
|
|
end function constitutive_dislotwin_stateInit
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief sets the relevant state values for a given instance of this plasticity
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure function constitutive_dislotwin_aTolState(matID)
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
matID ! number specifying the current instance of the plasticity
|
|
real(pReal), dimension(constitutive_dislotwin_sizeState(matID)) :: &
|
|
constitutive_dislotwin_aTolState ! relevant state values for the current instance of this plasticity
|
|
|
|
! Tolerance state for dislocation densities
|
|
constitutive_dislotwin_aTolState(1_pInt:2_pInt*constitutive_dislotwin_totalNslip(matID)) = &
|
|
constitutive_dislotwin_aTolRho(matID)
|
|
|
|
! Tolerance state for accumulated shear due to slip
|
|
constitutive_dislotwin_aTolState(2_pInt*constitutive_dislotwin_totalNslip(matID)+1_pInt: &
|
|
3_pInt*constitutive_dislotwin_totalNslip(matID))=1e6_pReal
|
|
|
|
|
|
! Tolerance state for twin volume fraction
|
|
constitutive_dislotwin_aTolState(3_pInt*constitutive_dislotwin_totalNslip(matID)+1_pInt: &
|
|
3_pInt*constitutive_dislotwin_totalNslip(matID)+&
|
|
constitutive_dislotwin_totalNtwin(matID)) = &
|
|
constitutive_dislotwin_aTolTwinFrac(matID)
|
|
|
|
! Tolerance state for accumulated shear due to twin
|
|
constitutive_dislotwin_aTolState(3_pInt*constitutive_dislotwin_totalNslip(matID)+ &
|
|
constitutive_dislotwin_totalNtwin(matID)+1_pInt: &
|
|
3_pInt*constitutive_dislotwin_totalNslip(matID)+ &
|
|
2_pInt*constitutive_dislotwin_totalNtwin(matID)) = 1e6_pReal
|
|
|
|
end function constitutive_dislotwin_aTolState
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns the homogenized elasticity matrix
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure function constitutive_dislotwin_homogenizedC(state,ipc,ip,el)
|
|
use prec, only: &
|
|
p_vec
|
|
use mesh, only: &
|
|
mesh_NcpElems, &
|
|
mesh_maxNips
|
|
use material, only: &
|
|
homogenization_maxNgrains, &
|
|
material_phase, &
|
|
phase_plasticityInstance
|
|
|
|
implicit none
|
|
real(pReal), dimension(6,6) :: &
|
|
constitutive_dislotwin_homogenizedC
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< component-ID of integration point
|
|
ip, & !< integration point
|
|
el !< element
|
|
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
|
state !< microstructure state
|
|
|
|
integer(pInt) :: matID,ns,nt,i
|
|
real(pReal) :: sumf
|
|
|
|
!* Shortened notation
|
|
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
|
|
ns = constitutive_dislotwin_totalNslip(matID)
|
|
nt = constitutive_dislotwin_totalNtwin(matID)
|
|
|
|
!* Total twin volume fraction
|
|
sumf = sum(state(ipc,ip,el)%p((3_pInt*ns+1_pInt):(3_pInt*ns+nt))) ! safe for nt == 0
|
|
|
|
!* Homogenized elasticity matrix
|
|
constitutive_dislotwin_homogenizedC = (1.0_pReal-sumf)*constitutive_dislotwin_Cslip_66(:,:,matID)
|
|
do i=1_pInt,nt
|
|
constitutive_dislotwin_homogenizedC = &
|
|
constitutive_dislotwin_homogenizedC + state(ipc,ip,el)%p(3_pInt*ns+i)*constitutive_dislotwin_Ctwin_66(:,:,i,matID)
|
|
enddo
|
|
|
|
end function constitutive_dislotwin_homogenizedC
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief calculates derived quantities from state
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine constitutive_dislotwin_microstructure(Temperature,state,ipc,ip,el)
|
|
use prec, only: &
|
|
p_vec
|
|
use math, only: &
|
|
pi
|
|
use mesh, only: &
|
|
mesh_NcpElems, &
|
|
mesh_maxNips
|
|
use material, only: &
|
|
homogenization_maxNgrains, &
|
|
material_phase, &
|
|
phase_plasticityInstance
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< component-ID of integration point
|
|
ip, & !< integration point
|
|
el !< element
|
|
real(pReal), intent(in) :: &
|
|
temperature !< temperature at IP
|
|
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(inout) :: &
|
|
state !< microstructure state
|
|
|
|
integer(pInt) :: &
|
|
matID,structID,&
|
|
ns,nt,s,t
|
|
real(pReal) :: &
|
|
sumf,sfe,x0
|
|
real(pReal), dimension(constitutive_dislotwin_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: fOverStacksize
|
|
|
|
!* Shortened notation
|
|
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
|
|
structID = constitutive_dislotwin_structure(matID)
|
|
ns = constitutive_dislotwin_totalNslip(matID)
|
|
nt = constitutive_dislotwin_totalNtwin(matID)
|
|
!* State: 1 : ns rho_edge
|
|
!* State: ns+1 : 2*ns rho_dipole
|
|
!* State: 2*ns+1 : 3*ns accumulated shear due to slip
|
|
!* State: 3*ns+1 : 3*ns+nt f
|
|
!* State: 3*ns+nt+1 : 3*ns+2*nt accumulated shear due to twin
|
|
!* State: 3*ns+2*nt+1 : 4*ns+2*nt 1/lambda_slip
|
|
!* State: 4*ns+2*nt+1 : 5*ns+2*nt 1/lambda_sliptwin
|
|
!* State: 5*ns+2*nt+1 : 5*ns+3*nt 1/lambda_twin
|
|
!* State: 5*ns+3*nt+1 : 6*ns+3*nt mfp_slip
|
|
!* State: 6*ns+3*nt+1 : 6*ns+4*nt mfp_twin
|
|
!* State: 6*ns+4*nt+1 : 7*ns+4*nt threshold_stress_slip
|
|
!* State: 7*ns+4*nt+1 : 7*ns+5*nt threshold_stress_twin
|
|
!* State: 7*ns+5*nt+1 : 7*ns+6*nt twin volume
|
|
|
|
!* Total twin volume fraction
|
|
sumf = sum(state(ipc,ip,el)%p((3*ns+1):(3*ns+nt))) ! safe for nt == 0
|
|
|
|
!* Stacking fault energy
|
|
sfe = constitutive_dislotwin_SFE_0K(matID) + &
|
|
constitutive_dislotwin_dSFE_dT(matID) * Temperature
|
|
|
|
!* rescaled twin volume fraction for topology
|
|
forall (t = 1_pInt:nt) &
|
|
fOverStacksize(t) = &
|
|
state(ipc,ip,el)%p(3_pInt*ns+t)/constitutive_dislotwin_twinsizePerTwinSystem(t,matID)
|
|
|
|
!* 1/mean free distance between 2 forest dislocations seen by a moving dislocation
|
|
forall (s = 1_pInt:ns) &
|
|
state(ipc,ip,el)%p(3_pInt*ns+2_pInt*nt+s) = &
|
|
sqrt(dot_product((state(ipc,ip,el)%p(1:ns)+state(ipc,ip,el)%p(ns+1_pInt:2_pInt*ns)),&
|
|
constitutive_dislotwin_forestProjectionEdge(1:ns,s,matID)))/ &
|
|
constitutive_dislotwin_CLambdaSlipPerSlipSystem(s,matID)
|
|
|
|
!* 1/mean free distance between 2 twin stacks from different systems seen by a moving dislocation
|
|
!$OMP CRITICAL (evilmatmul)
|
|
state(ipc,ip,el)%p((4_pInt*ns+2_pInt*nt+1_pInt):(5_pInt*ns+2_pInt*nt)) = 0.0_pReal
|
|
if (nt > 0_pInt .and. ns > 0_pInt) &
|
|
state(ipc,ip,el)%p((4_pInt*ns+2_pInt*nt+1):(5_pInt*ns+2_pInt*nt)) = &
|
|
matmul(constitutive_dislotwin_interactionMatrix_SlipTwin(1:ns,1:nt,matID),fOverStacksize(1:nt))/(1.0_pReal-sumf)
|
|
!$OMP END CRITICAL (evilmatmul)
|
|
|
|
!* 1/mean free distance between 2 twin stacks from different systems seen by a growing twin
|
|
!$OMP CRITICAL (evilmatmul)
|
|
if (nt > 0_pInt) &
|
|
state(ipc,ip,el)%p((5_pInt*ns+2_pInt*nt+1_pInt):(5_pInt*ns+3_pInt*nt)) = &
|
|
matmul(constitutive_dislotwin_interactionMatrix_TwinTwin(1:nt,1:nt,matID),fOverStacksize(1:nt))/(1.0_pReal-sumf)
|
|
!$OMP END CRITICAL (evilmatmul)
|
|
|
|
!* mean free path between 2 obstacles seen by a moving dislocation
|
|
do s = 1_pInt,ns
|
|
if (nt > 0_pInt) then
|
|
state(ipc,ip,el)%p(5_pInt*ns+3_pInt*nt+s) = &
|
|
constitutive_dislotwin_GrainSize(matID)/(1.0_pReal+constitutive_dislotwin_GrainSize(matID)*&
|
|
(state(ipc,ip,el)%p(3_pInt*ns+2_pInt*nt+s)+state(ipc,ip,el)%p(4_pInt*ns+2_pInt*nt+s)))
|
|
else
|
|
state(ipc,ip,el)%p(5_pInt*ns+s) = &
|
|
constitutive_dislotwin_GrainSize(matID)/&
|
|
(1.0_pReal+constitutive_dislotwin_GrainSize(matID)*(state(ipc,ip,el)%p(3_pInt*ns+s)))
|
|
endif
|
|
enddo
|
|
|
|
!* mean free path between 2 obstacles seen by a growing twin
|
|
forall (t = 1_pInt:nt) &
|
|
state(ipc,ip,el)%p(6_pInt*ns+3_pInt*nt+t) = &
|
|
(constitutive_dislotwin_Cmfptwin(matID)*constitutive_dislotwin_GrainSize(matID))/&
|
|
(1.0_pReal+constitutive_dislotwin_GrainSize(matID)*state(ipc,ip,el)%p(5_pInt*ns+2_pInt*nt+t))
|
|
|
|
!* threshold stress for dislocation motion
|
|
forall (s = 1_pInt:ns) &
|
|
state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+s) = constitutive_dislotwin_SolidSolutionStrength(matID)+ &
|
|
constitutive_dislotwin_Gmod(matID)*constitutive_dislotwin_burgersPerSlipSystem(s,matID)*&
|
|
sqrt(dot_product((state(ipc,ip,el)%p(1:ns)+state(ipc,ip,el)%p(ns+1_pInt:2_pInt*ns)),&
|
|
constitutive_dislotwin_interactionMatrix_SlipSlip(s,1:ns,matID)))
|
|
|
|
!* threshold stress for growing twin
|
|
forall (t = 1_pInt:nt) &
|
|
state(ipc,ip,el)%p(7_pInt*ns+4_pInt*nt+t) = &
|
|
constitutive_dislotwin_Cthresholdtwin(matID)*&
|
|
(sfe/(3.0_pReal*constitutive_dislotwin_burgersPerTwinSystem(t,matID))+&
|
|
3.0_pReal*constitutive_dislotwin_burgersPerTwinSystem(t,matID)*constitutive_dislotwin_Gmod(matID)/&
|
|
(constitutive_dislotwin_L0(matID)*constitutive_dislotwin_burgersPerSlipSystem(t,matID)))
|
|
|
|
!* final twin volume after growth
|
|
forall (t = 1_pInt:nt) &
|
|
state(ipc,ip,el)%p(7_pInt*ns+5_pInt*nt+t) = &
|
|
(pi/4.0_pReal)*constitutive_dislotwin_twinsizePerTwinSystem(t,matID)*state(ipc,ip,el)%p(6*ns+3*nt+t)**(2.0_pReal)
|
|
|
|
!* equilibrium seperation of partial dislocations
|
|
do t = 1_pInt,nt
|
|
x0 = constitutive_dislotwin_Gmod(matID)*constitutive_dislotwin_burgersPerTwinSystem(t,matID)**(2.0_pReal)/&
|
|
(sfe*8.0_pReal*pi)*(2.0_pReal+constitutive_dislotwin_nu(matID))/(1.0_pReal-constitutive_dislotwin_nu(matID))
|
|
constitutive_dislotwin_tau_r(t,matID)= &
|
|
constitutive_dislotwin_Gmod(matID)*constitutive_dislotwin_burgersPerTwinSystem(t,matID)/(2.0_pReal*pi)*&
|
|
(1/(x0+constitutive_dislotwin_xc(matID))+cos(pi/3.0_pReal)/x0)
|
|
enddo
|
|
|
|
!if ((ip==1).and.(el==1)) then
|
|
! write(6,*) '#MICROSTRUCTURE#'
|
|
! write(6,*)
|
|
! write(6,'(a,/,4(3(f10.4,1x)/))') 'rhoEdge',state(ipc,ip,el)%p(1:ns)/1e9
|
|
! write(6,'(a,/,4(3(f10.4,1x)/))') 'rhoEdgeDip',state(ipc,ip,el)%p(ns+1:2*ns)/1e9
|
|
! write(6,'(a,/,4(3(f10.4,1x)/))') 'Fraction',state(ipc,ip,el)%p(2*ns+1:2*ns+nt)
|
|
!endif
|
|
|
|
end subroutine constitutive_dislotwin_microstructure
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief calculates plastic velocity gradient and its tangent
|
|
!--------------------------------------------------------------------------------------------------
|
|
subroutine constitutive_dislotwin_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,state,ipc,ip,el)
|
|
use prec, only: &
|
|
p_vec
|
|
use math, only: &
|
|
math_Plain3333to99, &
|
|
math_Mandel6to33, &
|
|
math_Mandel33to6, &
|
|
math_spectralDecompositionSym33, &
|
|
math_tensorproduct, &
|
|
math_symmetric33, &
|
|
math_mul33x3
|
|
use mesh, only: &
|
|
mesh_NcpElems, &
|
|
mesh_maxNips
|
|
use material, only: &
|
|
homogenization_maxNgrains, &
|
|
material_phase, &
|
|
phase_plasticityInstance
|
|
use lattice, only: &
|
|
lattice_Sslip, &
|
|
lattice_Sslip_v, &
|
|
lattice_Stwin, &
|
|
lattice_Stwin_v, &
|
|
lattice_maxNslipFamily,&
|
|
lattice_maxNtwinFamily, &
|
|
lattice_NslipSystem, &
|
|
lattice_NtwinSystem, &
|
|
lattice_shearTwin, &
|
|
lattice_fcc_corellationTwinSlip
|
|
|
|
implicit none
|
|
integer(pInt), intent(in) :: ipc,ip,el
|
|
real(pReal), intent(in) :: Temperature
|
|
real(pReal), dimension(6), intent(in) :: Tstar_v
|
|
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(inout) :: state
|
|
real(pReal), dimension(3,3), intent(out) :: Lp
|
|
real(pReal), dimension(9,9), intent(out) :: dLp_dTstar
|
|
|
|
integer(pInt) :: matID,structID,ns,nt,f,i,j,k,l,m,n,index_myFamily,s1,s2
|
|
real(pReal) :: sumf,StressRatio_p,StressRatio_pminus1,StressRatio_r,BoltzmannRatio,DotGamma0,Ndot0
|
|
real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333
|
|
real(pReal), dimension(constitutive_dislotwin_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
|
gdot_slip,dgdot_dtauslip,tau_slip
|
|
real(pReal), dimension(constitutive_dislotwin_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
|
gdot_twin,dgdot_dtautwin,tau_twin
|
|
real(pReal), dimension(6) :: gdot_sb,dgdot_dtausb,tau_sb
|
|
real(pReal), dimension(3,3) :: eigVectors, sb_Smatrix
|
|
real(pReal), dimension(3) :: eigValues, sb_s, sb_m
|
|
real(pReal), dimension(3,6), parameter :: &
|
|
sb_sComposition = &
|
|
reshape(real([&
|
|
1, 0, 1, &
|
|
1, 0,-1, &
|
|
1, 1, 0, &
|
|
1,-1, 0, &
|
|
0, 1, 1, &
|
|
0, 1,-1 &
|
|
],pReal),[ 3,6]), &
|
|
sb_mComposition = &
|
|
reshape(real([&
|
|
1, 0,-1, &
|
|
1, 0,+1, &
|
|
1,-1, 0, &
|
|
1, 1, 0, &
|
|
0, 1,-1, &
|
|
0, 1, 1 &
|
|
],pReal),[ 3,6])
|
|
logical error
|
|
|
|
!* Shortened notation
|
|
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
|
|
structID = constitutive_dislotwin_structure(matID)
|
|
ns = constitutive_dislotwin_totalNslip(matID)
|
|
nt = constitutive_dislotwin_totalNtwin(matID)
|
|
|
|
!* Total twin volume fraction
|
|
sumf = sum(state(ipc,ip,el)%p((3_pInt*ns+1_pInt):(3_pInt*ns+nt))) ! safe for nt == 0
|
|
|
|
Lp = 0.0_pReal
|
|
dLp_dTstar3333 = 0.0_pReal
|
|
dLp_dTstar = 0.0_pReal
|
|
|
|
!* Dislocation glide part
|
|
gdot_slip = 0.0_pReal
|
|
dgdot_dtauslip = 0.0_pReal
|
|
j = 0_pInt
|
|
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
|
|
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
|
|
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
|
|
j = j+1_pInt
|
|
|
|
!* Calculation of Lp
|
|
!* Resolved shear stress on slip system
|
|
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))
|
|
|
|
!* Stress ratios
|
|
StressRatio_p = (abs(tau_slip(j))/state(ipc,ip,el)%p(6*ns+4*nt+j))**constitutive_dislotwin_p(matID)
|
|
StressRatio_pminus1 = (abs(tau_slip(j))/state(ipc,ip,el)%p(6*ns+4*nt+j))**(constitutive_dislotwin_p(matID)-1.0_pReal)
|
|
!* Boltzmann ratio
|
|
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,matID)/(kB*Temperature)
|
|
!* Initial shear rates
|
|
DotGamma0 = &
|
|
state(ipc,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)*&
|
|
constitutive_dislotwin_v0PerSlipSystem(j,matID)
|
|
|
|
!* Shear rates due to slip
|
|
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1-StressRatio_p)**constitutive_dislotwin_q(matID))*&
|
|
sign(1.0_pReal,tau_slip(j))
|
|
|
|
!* Derivatives of shear rates
|
|
dgdot_dtauslip(j) = &
|
|
((abs(gdot_slip(j))*BoltzmannRatio*&
|
|
constitutive_dislotwin_p(matID)*constitutive_dislotwin_q(matID))/state(ipc,ip,el)%p(6*ns+4*nt+j))*&
|
|
StressRatio_pminus1*(1-StressRatio_p)**(constitutive_dislotwin_q(matID)-1.0_pReal)
|
|
|
|
!* Plastic velocity gradient for dislocation glide
|
|
Lp = Lp + (1.0_pReal - sumf)*gdot_slip(j)*lattice_Sslip(:,:,1,index_myFamily+i,structID)
|
|
|
|
!* Calculation of the tangent of Lp
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
|
dLp_dTstar3333(k,l,m,n) = &
|
|
dLp_dTstar3333(k,l,m,n) + dgdot_dtauslip(j)*&
|
|
lattice_Sslip(k,l,1,index_myFamily+i,structID)*&
|
|
lattice_Sslip(m,n,1,index_myFamily+i,structID)
|
|
enddo
|
|
enddo
|
|
|
|
!* Shear banding (shearband) part
|
|
if(constitutive_dislotwin_sbVelocity(matID) /= 0.0_pReal .or. &
|
|
constitutive_dislotwin_sbResistance(matID) /= 0.0_pReal) then
|
|
gdot_sb = 0.0_pReal
|
|
dgdot_dtausb = 0.0_pReal
|
|
call math_spectralDecompositionSym33(math_Mandel6to33(Tstar_v),eigValues,eigVectors, error)
|
|
do j = 1_pInt,6_pInt
|
|
sb_s = 0.5_pReal*sqrt(2.0_pReal)*math_mul33x3(eigVectors,sb_sComposition(1:3,j))
|
|
sb_m = 0.5_pReal*sqrt(2.0_pReal)*math_mul33x3(eigVectors,sb_mComposition(1:3,j))
|
|
sb_Smatrix = math_tensorproduct(sb_s,sb_m)
|
|
constitutive_dislotwin_sbSv(1:6,j,ipc,ip,el) = math_Mandel33to6(math_symmetric33(sb_Smatrix))
|
|
|
|
!* Calculation of Lp
|
|
!* Resolved shear stress on shear banding system
|
|
tau_sb(j) = dot_product(Tstar_v,constitutive_dislotwin_sbSv(1:6,j,ipc,ip,el))
|
|
|
|
! if (debug_selectiveDebugger .and. ipc==debug_ipc .and. ip==debug_i .and. el==debug_e) then
|
|
! write(6,'(a,3(i3,1x),a,i1,a,e10.3)') '### TAU SHEARBAND at ipc ip el ',ipc,ip,el,' on family ',j,' : ',tau
|
|
! endif
|
|
|
|
!* Stress ratios
|
|
StressRatio_p = (abs(tau_sb(j))/constitutive_dislotwin_sbResistance(matID))**constitutive_dislotwin_p(matID)
|
|
StressRatio_pminus1 = (abs(tau_sb(j))/constitutive_dislotwin_sbResistance(matID))&
|
|
**(constitutive_dislotwin_p(matID)-1.0_pReal)
|
|
!* Boltzmann ratio
|
|
BoltzmannRatio = constitutive_dislotwin_sbQedge(matID)/(kB*Temperature)
|
|
!* Initial shear rates
|
|
DotGamma0 = constitutive_dislotwin_sbVelocity(matID)
|
|
|
|
!* Shear rates due to shearband
|
|
gdot_sb(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**constitutive_dislotwin_q(matID))*&
|
|
sign(1.0_pReal,tau_sb(j))
|
|
|
|
!* Derivatives of shear rates
|
|
dgdot_dtausb(j) = &
|
|
((abs(gdot_sb(j))*BoltzmannRatio*&
|
|
constitutive_dislotwin_p(matID)*constitutive_dislotwin_q(matID))/constitutive_dislotwin_sbResistance(matID))*&
|
|
StressRatio_pminus1*(1_pInt-StressRatio_p)**(constitutive_dislotwin_q(matID)-1.0_pReal)
|
|
|
|
!* Plastic velocity gradient for shear banding
|
|
Lp = Lp + gdot_sb(j)*sb_Smatrix
|
|
|
|
!* Calculation of the tangent of Lp
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
|
dLp_dTstar3333(k,l,m,n) = &
|
|
dLp_dTstar3333(k,l,m,n) + dgdot_dtausb(j)*&
|
|
sb_Smatrix(k,l)*&
|
|
sb_Smatrix(m,n)
|
|
enddo
|
|
end if
|
|
|
|
!* Mechanical twinning part
|
|
gdot_twin = 0.0_pReal
|
|
dgdot_dtautwin = 0.0_pReal
|
|
j = 0_pInt
|
|
do f = 1_pInt,lattice_maxNtwinFamily ! loop over all slip families
|
|
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
|
|
do i = 1_pInt,constitutive_dislotwin_Ntwin(f,matID) ! process each (active) slip system in family
|
|
j = j+1_pInt
|
|
|
|
!* Calculation of Lp
|
|
!* Resolved shear stress on twin system
|
|
tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,structID))
|
|
|
|
!* Stress ratios
|
|
StressRatio_r = (state(ipc,ip,el)%p(7*ns+4*nt+j)/tau_twin(j))**constitutive_dislotwin_r(matID)
|
|
|
|
!* Shear rates and their derivatives due to twin
|
|
if ( tau_twin(j) > 0.0_pReal ) then
|
|
select case(constitutive_dislotwin_structureName(matID))
|
|
case ('fcc')
|
|
s1=lattice_fcc_corellationTwinSlip(1,index_myFamily+i)
|
|
s2=lattice_fcc_corellationTwinSlip(2,index_myFamily+i)
|
|
if (tau_twin(j) < constitutive_dislotwin_tau_r(j,matID)) then
|
|
Ndot0=(abs(gdot_slip(s1))*(state(ipc,ip,el)%p(s2)+state(ipc,ip,el)%p(ns+s2))+&
|
|
abs(gdot_slip(s2))*(state(ipc,ip,el)%p(s1)+state(ipc,ip,el)%p(ns+s1)))/&
|
|
(constitutive_dislotwin_L0(matID)*constitutive_dislotwin_burgersPerSlipSystem(j,matID))*&
|
|
(1-exp(-constitutive_dislotwin_VcrossSlip(matID)/(kB*Temperature)*&
|
|
(constitutive_dislotwin_tau_r(j,matID)-tau_twin(j))))
|
|
else
|
|
Ndot0=0.0_pReal
|
|
end if
|
|
case default
|
|
Ndot0=constitutive_dislotwin_Ndot0PerTwinSystem(j,matID)
|
|
end select
|
|
gdot_twin(j) = &
|
|
(constitutive_dislotwin_MaxTwinFraction(matID)-sumf)*lattice_shearTwin(index_myFamily+i,structID)*&
|
|
state(ipc,ip,el)%p(7*ns+5*nt+j)*Ndot0*exp(-StressRatio_r)
|
|
dgdot_dtautwin(j) = ((gdot_twin(j)*constitutive_dislotwin_r(matID))/tau_twin(j))*StressRatio_r
|
|
endif
|
|
|
|
!* Plastic velocity gradient for mechanical twinning
|
|
Lp = Lp + gdot_twin(j)*lattice_Stwin(:,:,index_myFamily+i,structID)
|
|
|
|
!* Calculation of the tangent of Lp
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
|
dLp_dTstar3333(k,l,m,n) = &
|
|
dLp_dTstar3333(k,l,m,n) + dgdot_dtautwin(j)*&
|
|
lattice_Stwin(k,l,index_myFamily+i,structID)*&
|
|
lattice_Stwin(m,n,index_myFamily+i,structID)
|
|
enddo
|
|
enddo
|
|
|
|
dLp_dTstar = math_Plain3333to99(dLp_dTstar3333)
|
|
|
|
!if ((ip==1).and.(el==1)) then
|
|
! write(6,*) '#LP/TANGENT#'
|
|
! write(6,*)
|
|
! write(6,*) 'Tstar_v', Tstar_v
|
|
! write(6,*) 'tau_slip', tau_slip
|
|
! write(6,'(a10,/,4(3(e20.8,1x),/))') 'state',state(1,1,1)%p
|
|
! write(6,'(a,/,3(3(f10.4,1x)/))') 'Lp',Lp
|
|
! write(6,'(a,/,9(9(f10.4,1x)/))') 'dLp_dTstar',dLp_dTstar
|
|
!endif
|
|
|
|
end subroutine constitutive_dislotwin_LpAndItsTangent
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief calculates the rate of change of microstructure
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure function constitutive_dislotwin_dotState(Tstar_v,Temperature,state,ipc,ip,el)
|
|
use prec, only: p_vec
|
|
|
|
use math, only: pi
|
|
use mesh, only: mesh_NcpElems, mesh_maxNips
|
|
use material, only: homogenization_maxNgrains, material_phase, phase_plasticityInstance
|
|
use lattice, only: lattice_Sslip_v, lattice_Stwin_v, &
|
|
lattice_maxNslipFamily,lattice_maxNtwinFamily, &
|
|
lattice_NslipSystem, lattice_NtwinSystem, lattice_sheartwin, lattice_fcc_corellationTwinSlip
|
|
|
|
implicit none
|
|
real(pReal), dimension(6), intent(in):: &
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
real(pReal), intent(in) :: &
|
|
temperature !< temperature at integration point
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< component-ID of integration point
|
|
ip, & !< integration point
|
|
el !< element
|
|
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
|
state !< microstructure state
|
|
real(pReal), dimension(constitutive_dislotwin_sizeDotState(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
|
constitutive_dislotwin_dotState
|
|
|
|
integer(pInt) matID,structID,ns,nt,f,i,j,index_myFamily,s1,s2
|
|
real(pReal) sumf,StressRatio_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,&
|
|
EdgeDipMinDistance,AtomicVolume,VacancyDiffusion,StressRatio_r,Ndot0
|
|
real(pReal), dimension(constitutive_dislotwin_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
|
gdot_slip,tau_slip,DotRhoMultiplication,EdgeDipDistance,DotRhoEdgeEdgeAnnihilation,DotRhoEdgeDipAnnihilation,&
|
|
ClimbVelocity,DotRhoEdgeDipClimb,DotRhoDipFormation
|
|
real(pReal), dimension(constitutive_dislotwin_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
|
tau_twin
|
|
|
|
!* Shortened notation
|
|
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
|
|
structID = constitutive_dislotwin_structure(matID)
|
|
ns = constitutive_dislotwin_totalNslip(matID)
|
|
nt = constitutive_dislotwin_totalNtwin(matID)
|
|
|
|
!* Total twin volume fraction
|
|
sumf = sum(state(ipc,ip,el)%p((3_pInt*ns+1_pInt):(3_pInt*ns+nt))) ! safe for nt == 0
|
|
|
|
constitutive_dislotwin_dotState = 0.0_pReal
|
|
|
|
!* Dislocation density evolution
|
|
gdot_slip = 0.0_pReal
|
|
j = 0_pInt
|
|
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
|
|
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
|
|
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
|
|
j = j+1_pInt
|
|
|
|
|
|
!* Resolved shear stress on slip system
|
|
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))
|
|
!* Stress ratios
|
|
StressRatio_p = (abs(tau_slip(j))/state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+j))**&
|
|
constitutive_dislotwin_p(matID)
|
|
StressRatio_pminus1 = (abs(tau_slip(j))/state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+j))**&
|
|
(constitutive_dislotwin_p(matID)-1.0_pReal)
|
|
!* Boltzmann ratio
|
|
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,matID)/(kB*Temperature)
|
|
!* Initial shear rates
|
|
DotGamma0 = &
|
|
state(ipc,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)*&
|
|
constitutive_dislotwin_v0PerSlipSystem(j,matID)
|
|
|
|
!* Shear rates due to slip
|
|
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**constitutive_dislotwin_q(matID))*&
|
|
sign(1.0_pReal,tau_slip(j))
|
|
|
|
!* Multiplication
|
|
DotRhoMultiplication(j) = abs(gdot_slip(j))/&
|
|
(constitutive_dislotwin_burgersPerSlipSystem(j,matID)*state(ipc,ip,el)%p(5*ns+3*nt+j))
|
|
|
|
!* Dipole formation
|
|
EdgeDipMinDistance = &
|
|
constitutive_dislotwin_CEdgeDipMinDistance(matID)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)
|
|
if (tau_slip(j) == 0.0_pReal) then
|
|
DotRhoDipFormation(j) = 0.0_pReal
|
|
else
|
|
EdgeDipDistance(j) = &
|
|
(3.0_pReal*constitutive_dislotwin_Gmod(matID)*constitutive_dislotwin_burgersPerSlipSystem(j,matID))/&
|
|
(16.0_pReal*pi*abs(tau_slip(j)))
|
|
if (EdgeDipDistance(j)>state(ipc,ip,el)%p(5*ns+3*nt+j)) EdgeDipDistance(j)=state(ipc,ip,el)%p(5*ns+3*nt+j)
|
|
if (EdgeDipDistance(j)<EdgeDipMinDistance) EdgeDipDistance(j)=EdgeDipMinDistance
|
|
DotRhoDipFormation(j) = &
|
|
((2.0_pReal*EdgeDipDistance(j))/constitutive_dislotwin_burgersPerSlipSystem(j,matID))*&
|
|
state(ipc,ip,el)%p(j)*abs(gdot_slip(j))
|
|
endif
|
|
|
|
!* Spontaneous annihilation of 2 single edge dislocations
|
|
DotRhoEdgeEdgeAnnihilation(j) = &
|
|
((2.0_pReal*EdgeDipMinDistance)/constitutive_dislotwin_burgersPerSlipSystem(j,matID))*&
|
|
state(ipc,ip,el)%p(j)*abs(gdot_slip(j))
|
|
|
|
!* Spontaneous annihilation of a single edge dislocation with a dipole constituent
|
|
DotRhoEdgeDipAnnihilation(j) = &
|
|
((2.0_pReal*EdgeDipMinDistance)/constitutive_dislotwin_burgersPerSlipSystem(j,matID))*&
|
|
state(ipc,ip,el)%p(ns+j)*abs(gdot_slip(j))
|
|
|
|
!* Dislocation dipole climb
|
|
AtomicVolume = &
|
|
constitutive_dislotwin_CAtomicVolume(matID)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)**(3.0_pReal)
|
|
VacancyDiffusion = &
|
|
constitutive_dislotwin_D0(matID)*exp(-constitutive_dislotwin_Qsd(matID)/(kB*Temperature))
|
|
if (tau_slip(j) == 0.0_pReal) then
|
|
DotRhoEdgeDipClimb(j) = 0.0_pReal
|
|
else
|
|
ClimbVelocity(j) = &
|
|
((3.0_pReal*constitutive_dislotwin_Gmod(matID)*VacancyDiffusion*AtomicVolume)/(2.0_pReal*pi*kB*Temperature))*&
|
|
(1/(EdgeDipDistance(j)+EdgeDipMinDistance))
|
|
DotRhoEdgeDipClimb(j) = &
|
|
(4.0_pReal*ClimbVelocity(j)*state(ipc,ip,el)%p(ns+j))/(EdgeDipDistance(j)-EdgeDipMinDistance)
|
|
endif
|
|
|
|
!* Edge dislocation density rate of change
|
|
constitutive_dislotwin_dotState(j) = &
|
|
DotRhoMultiplication(j)-DotRhoDipFormation(j)-DotRhoEdgeEdgeAnnihilation(j)
|
|
|
|
!* Edge dislocation dipole density rate of change
|
|
constitutive_dislotwin_dotState(ns+j) = &
|
|
DotRhoDipFormation(j)-DotRhoEdgeDipAnnihilation(j)-DotRhoEdgeDipClimb(j)
|
|
|
|
!* Dotstate for accumulated shear due to slip
|
|
constitutive_dislotwin_dotstate(2_pInt*ns+j) = gdot_slip(j)
|
|
|
|
enddo
|
|
enddo
|
|
|
|
!* Twin volume fraction evolution
|
|
j = 0_pInt
|
|
do f = 1_pInt,lattice_maxNtwinFamily ! loop over all twin families
|
|
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
|
|
do i = 1_pInt,constitutive_dislotwin_Ntwin(f,matID) ! process each (active) twin system in family
|
|
j = j+1_pInt
|
|
|
|
!* Resolved shear stress on twin system
|
|
tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,structID))
|
|
!* Stress ratios
|
|
StressRatio_r = (state(ipc,ip,el)%p(7*ns+4*nt+j)/tau_twin(j))**constitutive_dislotwin_r(matID)
|
|
|
|
!* Shear rates and their derivatives due to twin
|
|
if ( tau_twin(j) > 0.0_pReal ) then
|
|
select case(constitutive_dislotwin_structureName(matID))
|
|
case ('fcc')
|
|
s1=lattice_fcc_corellationTwinSlip(1,index_myFamily+i)
|
|
s2=lattice_fcc_corellationTwinSlip(2,index_myFamily+i)
|
|
if (tau_twin(j) < constitutive_dislotwin_tau_r(j,matID)) then
|
|
Ndot0=(abs(gdot_slip(s1))*(state(ipc,ip,el)%p(s2)+state(ipc,ip,el)%p(ns+s2))+&
|
|
abs(gdot_slip(s2))*(state(ipc,ip,el)%p(s1)+state(ipc,ip,el)%p(ns+s1)))/&
|
|
(constitutive_dislotwin_L0(matID)*constitutive_dislotwin_burgersPerSlipSystem(j,matID))*&
|
|
(1-exp(-constitutive_dislotwin_VcrossSlip(matID)/(kB*Temperature)*&
|
|
(constitutive_dislotwin_tau_r(j,matID)-tau_twin(j))))
|
|
else
|
|
Ndot0=0.0_pReal
|
|
end if
|
|
case default
|
|
Ndot0=constitutive_dislotwin_Ndot0PerTwinSystem(j,matID)
|
|
end select
|
|
constitutive_dislotwin_dotState(3_pInt*ns+j) = &
|
|
(constitutive_dislotwin_MaxTwinFraction(matID)-sumf)*&
|
|
state(ipc,ip,el)%p(7_pInt*ns+5_pInt*nt+j)*Ndot0*exp(-StressRatio_r)
|
|
|
|
!* Dotstate for accumulated shear due to twin
|
|
constitutive_dislotwin_dotstate(3_pInt*ns+nt+j) = constitutive_dislotwin_dotState(3_pInt*ns+j) * &
|
|
lattice_sheartwin(index_myfamily+i,structID)
|
|
|
|
endif
|
|
|
|
enddo
|
|
enddo
|
|
|
|
!write(6,*) '#DOTSTATE#'
|
|
!write(6,*)
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'tau slip',tau_slip
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'gamma slip',gdot_slip
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'RhoEdge',state(ipc,ip,el)%p(1:ns)
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'Threshold Slip', state(ipc,ip,el)%p(5*ns+3*nt+1:6*ns+3*nt)
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'Multiplication',DotRhoMultiplication
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'DipFormation',DotRhoDipFormation
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'SingleSingle',DotRhoEdgeEdgeAnnihilation
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'SingleDipole',DotRhoEdgeDipAnnihilation
|
|
!write(6,'(a,/,4(3(f30.20,1x)/))') 'DipClimb',DotRhoEdgeDipClimb
|
|
|
|
end function constitutive_dislotwin_dotState
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief (instantaneous) incremental change of microstructure
|
|
!> @details dummy function, returns 0.0
|
|
!--------------------------------------------------------------------------------------------------
|
|
pure function constitutive_dislotwin_deltaState(Tstar_v,temperature,state,ipc,ip,el)
|
|
use prec, only: &
|
|
p_vec
|
|
use mesh, only: &
|
|
mesh_NcpElems, &
|
|
mesh_maxNips
|
|
use material, only: &
|
|
homogenization_maxNgrains, &
|
|
material_phase, &
|
|
phase_plasticityInstance
|
|
|
|
implicit none
|
|
real(pReal), dimension(6), intent(in):: &
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
real(pReal), intent(in) :: &
|
|
Temperature !< temperature at integration point
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< component-ID of integration point
|
|
ip, & !< integration point
|
|
el !< element
|
|
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
|
state !< microstructure state
|
|
|
|
real(pReal), dimension(constitutive_dislotwin_sizeDotState(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
|
constitutive_dislotwin_deltaState
|
|
|
|
constitutive_dislotwin_deltaState = 0.0_pReal
|
|
|
|
end function constitutive_dislotwin_deltaState
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief calculates the rate of change of temperature
|
|
!> @details dummy function, returns 0.0
|
|
!--------------------------------------------------------------------------------------------------
|
|
real(pReal) pure function constitutive_dislotwin_dotTemperature(Tstar_v,temperature,state,ipc,ip,el)
|
|
use prec, only: &
|
|
p_vec
|
|
use mesh, only: &
|
|
mesh_NcpElems, &
|
|
mesh_maxNips
|
|
use material, only: &
|
|
homogenization_maxNgrains
|
|
|
|
implicit none
|
|
real(pReal), dimension(6), intent(in) :: &
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
real(pReal), intent(in) :: &
|
|
temperature !< temperature at integration point
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< component-ID of integration point
|
|
ip, & !< integration point
|
|
el !< element
|
|
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
|
state !< microstructure state
|
|
|
|
constitutive_dislotwin_dotTemperature = 0.0_pReal
|
|
|
|
end function constitutive_dislotwin_dotTemperature
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief return array of constitutive results
|
|
!--------------------------------------------------------------------------------------------------
|
|
function constitutive_dislotwin_postResults(Tstar_v,Temperature,dt,state,ipc,ip,el)
|
|
use prec, only: &
|
|
p_vec
|
|
use math, only: &
|
|
pi, &
|
|
math_Mandel6to33, &
|
|
math_spectralDecompositionSym33
|
|
use mesh, only: &
|
|
mesh_NcpElems, &
|
|
mesh_maxNips
|
|
use material, only: &
|
|
homogenization_maxNgrains,&
|
|
material_phase, &
|
|
phase_plasticityInstance,&
|
|
phase_Noutput
|
|
use lattice, only: &
|
|
lattice_Sslip_v, &
|
|
lattice_Stwin_v, &
|
|
lattice_maxNslipFamily, &
|
|
lattice_maxNtwinFamily, &
|
|
lattice_NslipSystem, &
|
|
lattice_NtwinSystem, &
|
|
lattice_shearTwin, &
|
|
lattice_fcc_corellationTwinSlip
|
|
|
|
implicit none
|
|
real(pReal), dimension(6), intent(in) :: &
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
real(pReal), intent(in) :: &
|
|
temperature, & !< temperature at integration point
|
|
dt
|
|
integer(pInt), intent(in) :: &
|
|
ipc, & !< component-ID of integration point
|
|
ip, & !< integration point
|
|
el !< element
|
|
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
|
|
state !< microstructure state
|
|
|
|
real(pReal), dimension(constitutive_dislotwin_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
|
constitutive_dislotwin_postResults
|
|
|
|
integer(pInt) :: &
|
|
matID,structID,&
|
|
ns,nt,&
|
|
f,o,i,c,j,index_myFamily,&
|
|
s1,s2
|
|
real(pReal) :: sumf,tau,StressRatio_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,StressRatio_r,Ndot0,dgdot_dtauslip
|
|
real(preal), dimension(constitutive_dislotwin_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
|
gdot_slip
|
|
real(pReal), dimension(3,3) :: eigVectors
|
|
real(pReal), dimension (3) :: eigValues
|
|
logical :: error
|
|
|
|
!* Shortened notation
|
|
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
|
|
structID = constitutive_dislotwin_structure(matID)
|
|
ns = constitutive_dislotwin_totalNslip(matID)
|
|
nt = constitutive_dislotwin_totalNtwin(matID)
|
|
|
|
!* Total twin volume fraction
|
|
sumf = sum(state(ipc,ip,el)%p((3_pInt*ns+1_pInt):(3_pInt*ns+nt))) ! safe for nt == 0
|
|
|
|
!* Required output
|
|
c = 0_pInt
|
|
constitutive_dislotwin_postResults = 0.0_pReal
|
|
|
|
!* Spectral decomposition of stress
|
|
call math_spectralDecompositionSym33(math_Mandel6to33(Tstar_v),eigValues,eigVectors, error)
|
|
|
|
do o = 1_pInt,phase_Noutput(material_phase(ipc,ip,el))
|
|
select case(constitutive_dislotwin_output(o,matID))
|
|
|
|
case ('edge_density')
|
|
constitutive_dislotwin_postResults(c+1_pInt:c+ns) = state(ipc,ip,el)%p(1_pInt:ns)
|
|
c = c + ns
|
|
case ('dipole_density')
|
|
constitutive_dislotwin_postResults(c+1_pInt:c+ns) = state(ipc,ip,el)%p(ns+1_pInt:2_pInt*ns)
|
|
c = c + ns
|
|
case ('shear_rate_slip')
|
|
j = 0_pInt
|
|
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
|
|
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
|
|
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
|
|
j = j + 1_pInt
|
|
|
|
!* Resolved shear stress on slip system
|
|
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))
|
|
!* Stress ratios
|
|
StressRatio_p = (abs(tau)/state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+j))**&
|
|
constitutive_dislotwin_p(matID)
|
|
StressRatio_pminus1 = (abs(tau)/state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+j))**&
|
|
(constitutive_dislotwin_p(matID)-1.0_pReal)
|
|
!* Boltzmann ratio
|
|
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,matID)/(kB*Temperature)
|
|
!* Initial shear rates
|
|
DotGamma0 = &
|
|
state(ipc,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)* &
|
|
constitutive_dislotwin_v0PerSlipSystem(j,matID)
|
|
|
|
!* Shear rates due to slip
|
|
constitutive_dislotwin_postResults(c+j) = &
|
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DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
|
|
constitutive_dislotwin_q(matID))*sign(1.0_pReal,tau)
|
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enddo ; enddo
|
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c = c + ns
|
|
case ('accumulated_shear_slip')
|
|
constitutive_dislotwin_postResults(c+1_pInt:c+ns) = &
|
|
state(ipc,ip,el)%p((2_pInt*ns+1_pInt):(3_pInt*ns))
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|
c = c + ns
|
|
case ('mfp_slip')
|
|
constitutive_dislotwin_postResults(c+1_pInt:c+ns) =&
|
|
state(ipc,ip,el)%p((5_pInt*ns+3_pInt*nt+1_pInt):(6_pInt*ns+3_pInt*nt))
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|
c = c + ns
|
|
case ('resolved_stress_slip')
|
|
j = 0_pInt
|
|
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
|
|
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
|
|
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
|
|
j = j + 1_pInt
|
|
constitutive_dislotwin_postResults(c+j) =&
|
|
dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))
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enddo; enddo
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|
c = c + ns
|
|
case ('threshold_stress_slip')
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|
constitutive_dislotwin_postResults(c+1_pInt:c+ns) = &
|
|
state(ipc,ip,el)%p((6_pInt*ns+4_pInt*nt+1_pInt):(7_pInt*ns+4_pInt*nt))
|
|
c = c + ns
|
|
case ('edge_dipole_distance')
|
|
j = 0_pInt
|
|
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
|
|
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
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|
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
|
|
j = j + 1_pInt
|
|
constitutive_dislotwin_postResults(c+j) = &
|
|
(3.0_pReal*constitutive_dislotwin_Gmod(matID)*constitutive_dislotwin_burgersPerSlipSystem(j,matID))/&
|
|
(16.0_pReal*pi*abs(dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))))
|
|
constitutive_dislotwin_postResults(c+j) = min(constitutive_dislotwin_postResults(c+j),state(ipc,ip,el)%p(5*ns+3*nt+j))
|
|
! constitutive_dislotwin_postResults(c+j) = max(constitutive_dislotwin_postResults(c+j),state(ipc,ip,el)%p(4*ns+2*nt+j))
|
|
enddo; enddo
|
|
c = c + ns
|
|
case ('resolved_stress_shearband')
|
|
do j = 1_pInt,6_pInt ! loop over all shearband families
|
|
constitutive_dislotwin_postResults(c+j) = dot_product(Tstar_v, constitutive_dislotwin_sbSv(1:6,j,ipc,ip,el))
|
|
enddo
|
|
c = c + 6_pInt
|
|
case ('shear_rate_shearband')
|
|
do j = 1_pInt,6_pInt ! loop over all shearbands
|
|
!* Resolved shear stress on shearband system
|
|
tau = dot_product(Tstar_v,constitutive_dislotwin_sbSv(1:6,j,ipc,ip,el))
|
|
!* Stress ratios
|
|
StressRatio_p = (abs(tau)/constitutive_dislotwin_sbResistance(matID))**constitutive_dislotwin_p(matID)
|
|
StressRatio_pminus1 = (abs(tau)/constitutive_dislotwin_sbResistance(matID))&
|
|
**(constitutive_dislotwin_p(matID)-1.0_pReal)
|
|
!* Boltzmann ratio
|
|
BoltzmannRatio = constitutive_dislotwin_sbQedge(matID)/(kB*Temperature)
|
|
!* Initial shear rates
|
|
DotGamma0 = constitutive_dislotwin_sbVelocity(matID)
|
|
|
|
!* Shear rates due to slip
|
|
constitutive_dislotwin_postResults(c+j) = &
|
|
DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**constitutive_dislotwin_q(matID))*sign(1.0_pReal,tau)
|
|
enddo
|
|
c = c + 6_pInt
|
|
case ('twin_fraction')
|
|
constitutive_dislotwin_postResults(c+1_pInt:c+nt) = state(ipc,ip,el)%p((3_pInt*ns+1_pInt):(3_pInt*ns+nt))
|
|
c = c + nt
|
|
case ('shear_rate_twin')
|
|
if (nt > 0_pInt) then
|
|
|
|
j = 0_pInt
|
|
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
|
|
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
|
|
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
|
|
j = j + 1_pInt
|
|
|
|
!* Resolved shear stress on slip system
|
|
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))
|
|
!* Stress ratios
|
|
StressRatio_p = (abs(tau)/state(ipc,ip,el)%p(5_pInt*ns+3_pInt*nt+j))**&
|
|
constitutive_dislotwin_p(matID)
|
|
StressRatio_pminus1 = (abs(tau)/state(ipc,ip,el)%p(5_pInt*ns+3_pInt*nt+j))**&
|
|
(constitutive_dislotwin_p(matID)-1.0_pReal)
|
|
!* Boltzmann ratio
|
|
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,matID)/(kB*Temperature)
|
|
!* Initial shear rates
|
|
DotGamma0 = &
|
|
state(ipc,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)* &
|
|
constitutive_dislotwin_v0PerSlipSystem(j,matID)
|
|
|
|
!* Shear rates due to slip
|
|
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
|
|
constitutive_dislotwin_q(matID))*sign(1.0_pReal,tau)
|
|
enddo;enddo
|
|
|
|
j = 0_pInt
|
|
do f = 1_pInt,lattice_maxNtwinFamily ! loop over all twin families
|
|
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
|
|
do i = 1,constitutive_dislotwin_Ntwin(f,matID) ! process each (active) twin system in family
|
|
j = j + 1_pInt
|
|
|
|
!* Resolved shear stress on twin system
|
|
tau = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,structID))
|
|
!* Stress ratios
|
|
StressRatio_r = (state(ipc,ip,el)%p(7_pInt*ns+4_pInt*nt+j)/tau)**constitutive_dislotwin_r(matID)
|
|
|
|
!* Shear rates due to twin
|
|
if ( tau > 0.0_pReal ) then
|
|
select case(constitutive_dislotwin_structureName(matID))
|
|
case ('fcc')
|
|
s1=lattice_fcc_corellationTwinSlip(1,index_myFamily+i)
|
|
s2=lattice_fcc_corellationTwinSlip(2,index_myFamily+i)
|
|
if (tau < constitutive_dislotwin_tau_r(j,matID)) then
|
|
Ndot0=(abs(gdot_slip(s1))*(state(ipc,ip,el)%p(s2)+state(ipc,ip,el)%p(ns+s2))+&
|
|
abs(gdot_slip(s2))*(state(ipc,ip,el)%p(s1)+state(ipc,ip,el)%p(ns+s1)))/&
|
|
(constitutive_dislotwin_L0(matID)*&
|
|
constitutive_dislotwin_burgersPerSlipSystem(j,matID))*&
|
|
(1-exp(-constitutive_dislotwin_VcrossSlip(matID)/(kB*Temperature)*&
|
|
(constitutive_dislotwin_tau_r(j,matID)-tau)))
|
|
else
|
|
Ndot0=0.0_pReal
|
|
end if
|
|
case default
|
|
Ndot0=constitutive_dislotwin_Ndot0PerTwinSystem(j,matID)
|
|
end select
|
|
constitutive_dislotwin_postResults(c+j) = &
|
|
(constitutive_dislotwin_MaxTwinFraction(matID)-sumf)*lattice_shearTwin(index_myFamily+i,structID)*&
|
|
state(ipc,ip,el)%p(7_pInt*ns+5_pInt*nt+j)*Ndot0*exp(-StressRatio_r)
|
|
endif
|
|
|
|
enddo ; enddo
|
|
endif
|
|
c = c + nt
|
|
case ('accumulated_shear_twin')
|
|
constitutive_dislotwin_postResults(c+1_pInt:c+nt) = state(ipc,ip,el)%p((3_pInt*ns+nt+1_pInt):(3_pInt*ns+2_pInt*nt))
|
|
c = c + nt
|
|
case ('mfp_twin')
|
|
constitutive_dislotwin_postResults(c+1_pInt:c+nt) = state(ipc,ip,el)%p((6_pInt*ns+3_pInt*nt+1_pInt):(6_pInt*ns+4_pInt*nt))
|
|
c = c + nt
|
|
case ('resolved_stress_twin')
|
|
if (nt > 0_pInt) then
|
|
j = 0_pInt
|
|
do f = 1_pInt,lattice_maxNtwinFamily ! loop over all slip families
|
|
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
|
|
do i = 1_pInt,constitutive_dislotwin_Ntwin(f,matID) ! process each (active) slip system in family
|
|
j = j + 1_pInt
|
|
constitutive_dislotwin_postResults(c+j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,structID))
|
|
enddo; enddo
|
|
endif
|
|
c = c + nt
|
|
case ('threshold_stress_twin')
|
|
constitutive_dislotwin_postResults(c+1_pInt:c+nt) = state(ipc,ip,el)%p((7_pInt*ns+4_pInt*nt+1_pInt):(7_pInt*ns+5_pInt*nt))
|
|
c = c + nt
|
|
case ('stress_exponent')
|
|
j = 0_pInt
|
|
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
|
|
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
|
|
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
|
|
j = j + 1_pInt
|
|
|
|
!* Resolved shear stress on slip system
|
|
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))
|
|
!* Stress ratios
|
|
StressRatio_p = (abs(tau)/state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+j))**&
|
|
constitutive_dislotwin_p(matID)
|
|
StressRatio_pminus1 = (abs(tau)/state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+j))**&
|
|
(constitutive_dislotwin_p(matID)-1.0_pReal)
|
|
!* Boltzmann ratio
|
|
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,matID)/(kB*Temperature)
|
|
!* Initial shear rates
|
|
DotGamma0 = &
|
|
state(ipc,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)* &
|
|
constitutive_dislotwin_v0PerSlipSystem(j,matID)
|
|
|
|
!* Shear rates due to slip
|
|
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
|
|
constitutive_dislotwin_q(matID))*sign(1.0_pReal,tau)
|
|
|
|
!* Derivatives of shear rates
|
|
dgdot_dtauslip = &
|
|
((abs(gdot_slip(j))*BoltzmannRatio*&
|
|
constitutive_dislotwin_p(matID)*constitutive_dislotwin_q(matID))/state(ipc,ip,el)%p(6*ns+4*nt+j))*&
|
|
StressRatio_pminus1*(1_pInt-StressRatio_p)**(constitutive_dislotwin_q(matID)-1.0_pReal)
|
|
|
|
!* Stress exponent
|
|
if (gdot_slip(j)==0.0_pReal) then
|
|
constitutive_dislotwin_postResults(c+j) = 0.0_pReal
|
|
else
|
|
constitutive_dislotwin_postResults(c+j) = (tau/gdot_slip(j))*dgdot_dtauslip
|
|
endif
|
|
enddo ; enddo
|
|
c = c + ns
|
|
case ('sb_eigenvalues')
|
|
forall (j = 1_pInt:3_pInt) &
|
|
constitutive_dislotwin_postResults(c+j) = eigValues(j)
|
|
c = c + 3_pInt
|
|
case ('sb_eigenvectors')
|
|
constitutive_dislotwin_postResults(c+1_pInt:c+9_pInt) = reshape(eigVectors,(/9/))
|
|
c = c + 9_pInt
|
|
end select
|
|
enddo
|
|
end function constitutive_dislotwin_postResults
|
|
|
|
end module constitutive_dislotwin
|