! Copyright 2011-13 Max-Planck-Institut für Eisenforschung GmbH ! ! This file is part of DAMASK, ! the Düsseldorf Advanced MAterial Simulation Kit. ! ! DAMASK is free software: you can redistribute it and/or modify ! it under the terms of the GNU General Public License as published by ! the Free Software Foundation, either version 3 of the License, or ! (at your option) any later version. ! ! DAMASK is distributed in the hope that it will be useful, ! but WITHOUT ANY WARRANTY; without even the implied warranty of ! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the ! GNU General Public License for more details. ! ! You should have received a copy of the GNU General Public License ! along with DAMASK. If not, see . ! !############################################################## !* $Id$ ! states for titanmod ! Basic states ! rhoedge ! rhoscrew ! shear_system ! Dependent states ! segment_edge ! segment_screw ! resistance_edge ! resistance_screw ! tau_slip ! gdot_slip ! velocity_edge ! velocity_screw ! gdot_slip_edge ! gdot_slip_screw ! stressratio_edge_p ! stressratio_screw_p ! shear_basal ! shear_prism ! shear_pyra ! shear_pyrca module constitutive_titanmod use prec, only: & pReal, & pInt implicit none !* Lists of states and physical parameters character(len=*), parameter, public :: & constitutive_titanmod_label = 'titanmod' character(len=18), dimension(3), parameter :: & constitutive_titanmod_listBasicSlipStates = ['rho_edge ', & 'rho_screw ', & 'shear_system'] character(len=18), dimension(1), parameter :: & constitutive_titanmod_listBasicTwinStates = ['gdot_twin'] character(len=19), dimension(11), parameter :: & constitutive_titanmod_listDependentSlipStates =['segment_edge ', & 'segment_screw ', & 'resistance_edge ', & 'resistance_screw ', & 'tau_slip ', & 'velocity_edge ', & 'velocity_screw ', & 'gdot_slip_edge ', & 'gdot_slip_screw ', & 'stressratio_edge_p ', & 'stressratio_screw_p' & ] character(len=18), dimension(2), parameter :: & constitutive_titanmod_listDependentTwinStates =['twin_fraction', & 'tau_twin ' & ] real(pReal), parameter :: kB = 1.38e-23_pReal ! Boltzmann constant in J/Kelvin !* Definition of global variables integer(pInt), dimension(:), allocatable, public, protected :: & constitutive_titanmod_sizeState, & ! total number of microstructural state variables constitutive_titanmod_sizeDotState, & ! number of dotStates constitutive_titanmod_sizePostResults ! cumulative size of post results integer(pInt), dimension(:,:), allocatable, target, public :: & constitutive_titanmod_sizePostResult ! size of each post result output character(len=64), dimension(:,:), allocatable, target, public :: & constitutive_titanmod_output ! name of each post result output integer(pInt), dimension(:), allocatable :: & constitutive_titanmod_Noutput ! number of outputs per instance of this plasticity character(len=32), dimension(:), allocatable, public, protected :: & constitutive_titanmod_structureName ! name of the lattice structure integer(pInt), dimension(:), allocatable :: & constitutive_titanmod_structure, & ! number representing the kind of lattice structure constitutive_titanmod_totalNslip, & ! total number of active slip systems for each instance constitutive_titanmod_totalNtwin ! total number of active twin systems for each instance integer(pInt), dimension(:,:), allocatable :: & constitutive_titanmod_Nslip, & ! number of active slip systems for each family and instance constitutive_titanmod_Ntwin, & ! number of active twin systems for each family and instance constitutive_titanmod_slipFamily, & ! lookup table relating active slip system to slip family for each instance constitutive_titanmod_twinFamily, & ! lookup table relating active twin system to twin family for each instance constitutive_titanmod_slipSystemLattice, & ! lookup table relating active slip system index to lattice slip system index for each instance constitutive_titanmod_twinSystemLattice ! lookup table relating active twin system index to lattice twin system index for each instance real(pReal), dimension(:), allocatable :: & constitutive_titanmod_CoverA, & ! c/a ratio for hex type lattice constitutive_titanmod_debyefrequency, & !Debye frequency constitutive_titanmod_kinkf0, & !Debye frequency constitutive_titanmod_Gmod, & ! shear modulus constitutive_titanmod_CAtomicVolume, & ! atomic volume in Bugers vector unit constitutive_titanmod_dc, & ! prefactor for self-diffusion coefficient constitutive_titanmod_twinhpconstant, & ! activation energy for dislocation climb constitutive_titanmod_GrainSize, & ! grain size - Not being used constitutive_titanmod_MaxTwinFraction, & ! maximum allowed total twin volume fraction constitutive_titanmod_r, & ! r-exponent in twin nucleation rate constitutive_titanmod_CEdgeDipMinDistance, & ! Not being used constitutive_titanmod_Cmfptwin, & ! Not being used constitutive_titanmod_Cthresholdtwin, & ! Not being used constitutive_titanmod_aTolRho ! absolute tolerance for integration of dislocation density real(pReal), dimension(:,:,:), allocatable :: & constitutive_titanmod_Cslip_66 ! elasticity matrix in Mandel notation for each instance real(pReal), dimension(:,:,:,:), allocatable :: & constitutive_titanmod_Ctwin_66 ! twin elasticity matrix in Mandel notation for each instance real(pReal), dimension(:,:,:,:,:), allocatable :: & constitutive_titanmod_Cslip_3333 ! elasticity matrix for each instance real(pReal), dimension(:,:,:,:,:,:), allocatable :: & constitutive_titanmod_Ctwin_3333 ! twin elasticity matrix for each instance real(pReal), dimension(:,:), allocatable :: & constitutive_titanmod_rho_edge0, & ! initial edge dislocation density per slip system for each family and instance constitutive_titanmod_rho_screw0, & ! initial screw dislocation density per slip system for each family and instance constitutive_titanmod_shear_system0, & ! accumulated shear on each system constitutive_titanmod_burgersPerSlipFamily, & ! absolute length of burgers vector [m] for each slip family and instance constitutive_titanmod_burgersPerSlipSystem, & ! absolute length of burgers vector [m] for each slip system and instance constitutive_titanmod_burgersPerTwinFamily, & ! absolute length of burgers vector [m] for each twin family and instance constitutive_titanmod_burgersPerTwinSystem, & ! absolute length of burgers vector [m] for each twin system and instance constitutive_titanmod_f0_PerSlipFamily, & ! activation energy for glide [J] for each slip family and instance constitutive_titanmod_f0_PerSlipSystem, & ! activation energy for glide [J] for each slip system and instance constitutive_titanmod_twinf0_PerTwinFamily, & ! activation energy for glide [J] for each twin family and instance constitutive_titanmod_twinf0_PerTwinSystem, & ! activation energy for glide [J] for each twin system and instance constitutive_titanmod_twinshearconstant_PerTwinFamily, & ! activation energy for glide [J] for each twin family and instance constitutive_titanmod_twinshearconstant_PerTwinSystem, & ! activation energy for glide [J] for each twin system and instance constitutive_titanmod_tau0e_PerSlipFamily, & ! Initial yield stress for edge dislocations per slip family constitutive_titanmod_tau0e_PerSlipSystem, & ! Initial yield stress for edge dislocations per slip system constitutive_titanmod_tau0s_PerSlipFamily, & ! Initial yield stress for screw dislocations per slip family constitutive_titanmod_tau0s_PerSlipSystem, & ! Initial yield stress for screw dislocations per slip system constitutive_titanmod_twintau0_PerTwinFamily, & ! Initial yield stress for edge dislocations per twin family constitutive_titanmod_twintau0_PerTwinSystem, & ! Initial yield stress for edge dislocations per twin system constitutive_titanmod_capre_PerSlipFamily, & ! Capture radii for edge dislocations per slip family constitutive_titanmod_capre_PerSlipSystem, & ! Capture radii for edge dislocations per slip system constitutive_titanmod_caprs_PerSlipFamily, & ! Capture radii for screw dislocations per slip family constitutive_titanmod_caprs_PerSlipSystem, & ! Capture radii for screw dislocations per slip system constitutive_titanmod_pe_PerSlipFamily, & ! p-exponent in glide velocity constitutive_titanmod_ps_PerSlipFamily, & ! p-exponent in glide velocity constitutive_titanmod_qe_PerSlipFamily, & ! q-exponent in glide velocity constitutive_titanmod_qs_PerSlipFamily, & ! q-exponent in glide velocity constitutive_titanmod_pe_PerSlipSystem, & ! p-exponent in glide velocity constitutive_titanmod_ps_PerSlipSystem, & ! p-exponent in glide velocity constitutive_titanmod_qe_PerSlipSystem, & ! q-exponent in glide velocity constitutive_titanmod_qs_PerSlipSystem, & ! q-exponent in glide velocity constitutive_titanmod_twinp_PerTwinFamily, & ! p-exponent in glide velocity constitutive_titanmod_twinq_PerTwinFamily, & ! q-exponent in glide velocity constitutive_titanmod_twinp_PerTwinSystem, & ! p-exponent in glide velocity constitutive_titanmod_twinq_PerTwinSystem, & ! p-exponent in glide velocity constitutive_titanmod_v0e_PerSlipFamily, & ! edge dislocation velocity prefactor [m/s] for each family and instance constitutive_titanmod_v0e_PerSlipSystem, & ! screw dislocation velocity prefactor [m/s] for each slip system and instance constitutive_titanmod_v0s_PerSlipFamily, & ! edge dislocation velocity prefactor [m/s] for each family and instance constitutive_titanmod_v0s_PerSlipSystem, & ! screw dislocation velocity prefactor [m/s] for each slip system and instance constitutive_titanmod_twingamma0_PerTwinFamily, & ! edge dislocation velocity prefactor [m/s] for each family and instance constitutive_titanmod_twingamma0_PerTwinSystem, & ! screw dislocation velocity prefactor [m/s] for each slip system and instance constitutive_titanmod_kinkcriticallength_PerSlipFamily, & ! screw dislocation mobility prefactor for kink-pairs per slip family constitutive_titanmod_kinkcriticallength_PerSlipSystem, & ! screw dislocation mobility prefactor for kink-pairs per slip system constitutive_titanmod_twinsizePerTwinFamily, & ! twin thickness [m] for each twin family and instance constitutive_titanmod_twinsizePerTwinSystem, & ! twin thickness [m] for each twin system and instance constitutive_titanmod_CeLambdaSlipPerSlipFamily, & ! Adj. parameter for distance between 2 forest dislocations for each slip family and instance constitutive_titanmod_CeLambdaSlipPerSlipSystem, & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance constitutive_titanmod_CsLambdaSlipPerSlipFamily, & ! Adj. parameter for distance between 2 forest dislocations for each slip family and instance constitutive_titanmod_CsLambdaSlipPerSlipSystem, & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance constitutive_titanmod_twinLambdaSlipPerTwinFamily, & ! Adj. parameter for distance between 2 forest dislocations for each slip family and instance constitutive_titanmod_twinLambdaSlipPerTwinSystem, & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance constitutive_titanmod_interactionSlipSlip, & ! coefficients for slip-slip interaction for each interaction type and instance constitutive_titanmod_interaction_ee, & ! coefficients for e-e interaction for each interaction type and instance constitutive_titanmod_interaction_ss, & ! coefficients for s-s interaction for each interaction type and instance constitutive_titanmod_interaction_es, & ! coefficients for e-s-twin interaction for each interaction type and instance constitutive_titanmod_interactionSlipTwin, & ! coefficients for twin-slip interaction for each interaction type and instance constitutive_titanmod_interactionTwinSlip, & ! coefficients for twin-slip interaction for each interaction type and instance constitutive_titanmod_interactionTwinTwin ! coefficients for twin-twin interaction for each interaction type and instance real(pReal), dimension(:,:,:),allocatable :: & constitutive_titanmod_interactionMatrixSlipSlip, & ! interaction matrix of the different slip systems for each instance constitutive_titanmod_interactionMatrix_ee, & ! interaction matrix of e-e for each instance constitutive_titanmod_interactionMatrix_ss, & ! interaction matrix of s-s for each instance constitutive_titanmod_interactionMatrix_es, & ! interaction matrix of e-s for each instance constitutive_titanmod_interactionMatrixSlipTwin, & ! interaction matrix of slip systems with twin systems for each instance constitutive_titanmod_interactionMatrixTwinSlip, & ! interaction matrix of twin systems with slip systems for each instance constitutive_titanmod_interactionMatrixTwinTwin, & ! interaction matrix of the different twin systems for each instance constitutive_titanmod_forestProjectionEdge, & ! matrix of forest projections of edge dislocations for each instance constitutive_titanmod_forestProjectionScrew, & ! matrix of forest projections of screw dislocations for each instance constitutive_titanmod_TwinforestProjectionEdge, & ! matrix of forest projections of edge dislocations in twin system for each instance constitutive_titanmod_TwinforestProjectionScrew ! matrix of forest projections of screw dislocations in twin system for each instance !**************************************** public :: constitutive_titanmod_microstructure, & constitutive_titanmod_stateInit, & constitutive_titanmod_init, & constitutive_titanmod_LpAndItsTangent, & constitutive_titanmod_dotState, & constitutive_titanmod_deltaState, & constitutive_titanmod_dotTemperature, & constitutive_titanmod_postResults, & constitutive_titanmod_homogenizedC, & constitutive_titanmod_aTolState !**************************************** CONTAINS subroutine constitutive_titanmod_init(file) !************************************** !* Module initialization * !************************************** use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment) use prec, only: pInt,pReal use debug, only: debug_level,& debug_constitutive,& debug_levelBasic use math, only: math_Mandel3333to66,math_Voigt66to3333,math_mul3x3 use IO use material use lattice !* Input variables integer(pInt), intent(in) :: file !* Local variables integer(pInt), parameter :: maxNchunks = 21_pInt integer(pInt), dimension(1_pInt+2_pInt*maxNchunks) :: positions integer(pInt), dimension(6) :: configNchunks integer(pInt) :: section,f,i,j,k,l,m,n,o,p,q,r,s,s1,s2,t,t1,t2,ns,nt,& Nchunks_SlipSlip, Nchunks_SlipTwin, Nchunks_TwinSlip, Nchunks_TwinTwin, & Nchunks_SlipFamilies, Nchunks_TwinFamilies, & mySize,myStructure,maxTotalNslip,maxTotalNtwin integer :: maxNinstance !no pInt character(len=64) :: tag character(len=1024) :: line = '' ! to start initialized write(6,*) write(6,*) '<<<+- constitutive_',trim(constitutive_titanmod_label),' init -+>>>' write(6,*) '$Id$' write(6,'(a16,a)') ' Current time : ',IO_timeStamp() #include "compilation_info.f90" maxNinstance = count(phase_plasticity == constitutive_titanmod_label) if (maxNinstance == 0) return if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) then write(6,'(a16,1x,i5)') '# instances:',maxNinstance write(6,*) endif Nchunks_SlipFamilies = lattice_maxNslipFamily Nchunks_TwinFamilies = lattice_maxNtwinFamily Nchunks_SlipSlip = lattice_maxNinteraction Nchunks_SlipTwin = lattice_maxNinteraction Nchunks_TwinSlip = lattice_maxNinteraction Nchunks_TwinTwin = lattice_maxNinteraction !* memory allocation for global variables allocate(constitutive_titanmod_sizeDotState(maxNinstance)) constitutive_titanmod_sizeDotState = 0_pInt allocate(constitutive_titanmod_sizeState(maxNinstance)) constitutive_titanmod_sizeState = 0_pInt allocate(constitutive_titanmod_sizePostResults(maxNinstance)) constitutive_titanmod_sizePostResults = 0_pInt allocate(constitutive_titanmod_sizePostResult(maxval(phase_Noutput),maxNinstance)) constitutive_titanmod_sizePostResult = 0_pInt allocate(constitutive_titanmod_output(maxval(phase_Noutput),maxNinstance)) constitutive_titanmod_output = '' allocate(constitutive_titanmod_Noutput(maxNinstance)) constitutive_titanmod_Noutput = 0_pInt allocate(constitutive_titanmod_structureName(maxNinstance)) constitutive_titanmod_structureName = '' allocate(constitutive_titanmod_structure(maxNinstance)) constitutive_titanmod_structure = 0_pInt allocate(constitutive_titanmod_Nslip(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_Nslip = 0_pInt allocate(constitutive_titanmod_Ntwin(lattice_maxNtwinFamily,maxNinstance)) constitutive_titanmod_Ntwin = 0_pInt allocate(constitutive_titanmod_slipFamily(lattice_maxNslip,maxNinstance)) constitutive_titanmod_slipFamily = 0_pInt allocate(constitutive_titanmod_twinFamily(lattice_maxNtwin,maxNinstance)) constitutive_titanmod_twinFamily = 0_pInt allocate(constitutive_titanmod_slipSystemLattice(lattice_maxNslip,maxNinstance)) constitutive_titanmod_slipSystemLattice = 0_pInt allocate(constitutive_titanmod_twinSystemLattice(lattice_maxNtwin,maxNinstance)) constitutive_titanmod_twinSystemLattice = 0_pInt allocate(constitutive_titanmod_totalNslip(maxNinstance)) constitutive_titanmod_totalNslip = 0_pInt allocate(constitutive_titanmod_totalNtwin(maxNinstance)) constitutive_titanmod_totalNtwin = 0_pInt allocate(constitutive_titanmod_CoverA(maxNinstance)) constitutive_titanmod_CoverA = 0.0_pReal allocate(constitutive_titanmod_debyefrequency(maxNinstance)) constitutive_titanmod_debyefrequency = 0.0_pReal allocate(constitutive_titanmod_kinkf0(maxNinstance)) constitutive_titanmod_kinkf0 = 0.0_pReal allocate(constitutive_titanmod_Gmod(maxNinstance)) constitutive_titanmod_Gmod = 0.0_pReal allocate(constitutive_titanmod_CAtomicVolume(maxNinstance)) constitutive_titanmod_CAtomicVolume = 0.0_pReal allocate(constitutive_titanmod_dc(maxNinstance)) constitutive_titanmod_dc = 0.0_pReal allocate(constitutive_titanmod_twinhpconstant(maxNinstance)) constitutive_titanmod_twinhpconstant = 0.0_pReal allocate(constitutive_titanmod_GrainSize(maxNinstance)) constitutive_titanmod_GrainSize = 0.0_pReal allocate(constitutive_titanmod_MaxTwinFraction(maxNinstance)) constitutive_titanmod_MaxTwinFraction = 0.0_pReal allocate(constitutive_titanmod_r(maxNinstance)) constitutive_titanmod_r = 0.0_pReal allocate(constitutive_titanmod_CEdgeDipMinDistance(maxNinstance)) constitutive_titanmod_CEdgeDipMinDistance = 0.0_pReal allocate(constitutive_titanmod_Cmfptwin(maxNinstance)) constitutive_titanmod_Cmfptwin = 0.0_pReal allocate(constitutive_titanmod_Cthresholdtwin(maxNinstance)) constitutive_titanmod_Cthresholdtwin = 0.0_pReal allocate(constitutive_titanmod_aTolRho(maxNinstance)) constitutive_titanmod_aTolRho = 0.0_pReal allocate(constitutive_titanmod_Cslip_66(6,6,maxNinstance)) constitutive_titanmod_Cslip_66 = 0.0_pReal allocate(constitutive_titanmod_Cslip_3333(3,3,3,3,maxNinstance)) constitutive_titanmod_Cslip_3333 = 0.0_pReal allocate(constitutive_titanmod_rho_edge0(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_rho_edge0 = 0.0_pReal allocate(constitutive_titanmod_rho_screw0(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_rho_screw0 = 0.0_pReal allocate(constitutive_titanmod_shear_system0(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_shear_system0 = 0.0_pReal allocate(constitutive_titanmod_burgersPerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_burgersPerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_burgersPerTwinFamily(lattice_maxNtwinFamily,maxNinstance)) constitutive_titanmod_burgersPerTwinFamily = 0.0_pReal allocate(constitutive_titanmod_f0_PerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_f0_PerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_tau0e_PerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_tau0e_PerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_tau0s_PerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_tau0s_PerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_capre_PerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_capre_PerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_caprs_PerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_caprs_PerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_pe_PerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_pe_PerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_ps_PerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_ps_PerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_qe_PerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_qe_PerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_qs_PerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_qs_PerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_v0e_PerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_v0e_PerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_v0s_PerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_v0s_PerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_kinkcriticallength_PerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_kinkcriticallength_PerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_twinsizePerTwinFamily(lattice_maxNtwinFamily,maxNinstance)) constitutive_titanmod_twinsizePerTwinFamily = 0.0_pReal allocate(constitutive_titanmod_CeLambdaSlipPerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_CeLambdaSlipPerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_CsLambdaSlipPerSlipFamily(lattice_maxNslipFamily,maxNinstance)) constitutive_titanmod_CsLambdaSlipPerSlipFamily = 0.0_pReal allocate(constitutive_titanmod_twinf0_PerTwinFamily(lattice_maxNTwinFamily,maxNinstance)) constitutive_titanmod_twinf0_PerTwinFamily = 0.0_pReal allocate(constitutive_titanmod_twinshearconstant_PerTwinFamily(lattice_maxNTwinFamily,maxNinstance)) constitutive_titanmod_twinshearconstant_PerTwinFamily = 0.0_pReal allocate(constitutive_titanmod_twintau0_PerTwinFamily(lattice_maxNTwinFamily,maxNinstance)) constitutive_titanmod_twintau0_PerTwinFamily = 0.0_pReal allocate(constitutive_titanmod_twinp_PerTwinFamily(lattice_maxNTwinFamily,maxNinstance)) constitutive_titanmod_twingamma0_PerTwinFamily = 0.0_pReal allocate(constitutive_titanmod_twinq_PerTwinFamily(lattice_maxNTwinFamily,maxNinstance)) constitutive_titanmod_twinLambdaSlipPerTwinFamily = 0.0_pReal allocate(constitutive_titanmod_twingamma0_PerTwinFamily(lattice_maxNTwinFamily,maxNinstance)) constitutive_titanmod_twinp_PerTwinFamily = 0.0_pReal allocate(constitutive_titanmod_twinLambdaSlipPerTwinFamily(lattice_maxNTwinFamily,maxNinstance)) constitutive_titanmod_twinq_PerTwinFamily = 0.0_pReal allocate(constitutive_titanmod_interactionSlipSlip(lattice_maxNinteraction,maxNinstance)) constitutive_titanmod_interactionSlipSlip = 0.0_pReal allocate(constitutive_titanmod_interaction_ee(lattice_maxNinteraction,maxNinstance)) constitutive_titanmod_interaction_ee = 0.0_pReal allocate(constitutive_titanmod_interaction_ss(lattice_maxNinteraction,maxNinstance)) constitutive_titanmod_interaction_ss = 0.0_pReal allocate(constitutive_titanmod_interaction_es(lattice_maxNinteraction,maxNinstance)) constitutive_titanmod_interaction_ss = 0.0_pReal allocate(constitutive_titanmod_interactionSlipTwin(lattice_maxNinteraction,maxNinstance)) constitutive_titanmod_interactionSlipTwin = 0.0_pReal allocate(constitutive_titanmod_interactionTwinSlip(lattice_maxNinteraction,maxNinstance)) constitutive_titanmod_interactionTwinSlip = 0.0_pReal allocate(constitutive_titanmod_interactionTwinTwin(lattice_maxNinteraction,maxNinstance)) constitutive_titanmod_interactionTwinTwin = 0.0_pReal !* Read data from material.config file rewind(file) line = '' section = 0_pInt do while (IO_lc(IO_getTag(line,'<','>')) /= 'phase') ! wind forward to read(file,'(a1024)',END=100) line enddo do ! read thru sections of phase part read(file,'(a1024)',END=100) line 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 ! skip to next line endif if (section > 0_pInt .and. phase_plasticity(section) == constitutive_titanmod_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_titanmod_Noutput(i) = constitutive_titanmod_Noutput(i) + 1_pInt constitutive_titanmod_output(constitutive_titanmod_Noutput(i),i) = IO_lc(IO_stringValue(line,positions,2_pInt)) case ('lattice_structure') constitutive_titanmod_structureName(i) = IO_lc(IO_stringValue(line,positions,2_pInt)) configNchunks = lattice_configNchunks(constitutive_titanmod_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_titanmod_CoverA(i) = IO_floatValue(line,positions,2_pInt) case ('c11') constitutive_titanmod_Cslip_66(1,1,i) = IO_floatValue(line,positions,2_pInt) case ('c12') constitutive_titanmod_Cslip_66(1,2,i) = IO_floatValue(line,positions,2_pInt) case ('c13') constitutive_titanmod_Cslip_66(1,3,i) = IO_floatValue(line,positions,2_pInt) case ('c22') constitutive_titanmod_Cslip_66(2,2,i) = IO_floatValue(line,positions,2_pInt) case ('c23') constitutive_titanmod_Cslip_66(2,3,i) = IO_floatValue(line,positions,2_pInt) case ('c33') constitutive_titanmod_Cslip_66(3,3,i) = IO_floatValue(line,positions,2_pInt) case ('c44') constitutive_titanmod_Cslip_66(4,4,i) = IO_floatValue(line,positions,2_pInt) case ('c55') constitutive_titanmod_Cslip_66(5,5,i) = IO_floatValue(line,positions,2_pInt) case ('c66') constitutive_titanmod_Cslip_66(1,3,i) = IO_floatValue(line,positions,2_pInt) case ('debyefrequency') constitutive_titanmod_debyefrequency(i) = IO_floatValue(line,positions,2_pInt) case ('kinkf0') constitutive_titanmod_kinkf0(i) = IO_floatValue(line,positions,2_pInt) case ('nslip') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_Nslip(j,i) = IO_intValue(line,positions,1_pInt+j) enddo case ('ntwin') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_Ntwin(j,i) = IO_intValue(line,positions,1_pInt+j) enddo case ('rho_edge0') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_rho_edge0(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('rho_screw0') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_rho_screw0(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('slipburgers') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_burgersPerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinburgers') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_burgersPerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('f0') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_f0_PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinf0') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twinf0_PerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('tau0e') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_tau0e_PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twintau0') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twintau0_PerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('tau0s') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_tau0s_PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('capre') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_capre_PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('caprs') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_caprs_PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('v0e') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_v0e_PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twingamma0') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twingamma0_PerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('v0s') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_v0s_PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('kinkcriticallength') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_kinkcriticallength_PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinsize') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twinsizePerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('celambdaslip') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_CeLambdaSlipPerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinlambdaslip') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twinlambdaslipPerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('cslambdaslip') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_CsLambdaSlipPerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('grainsize') constitutive_titanmod_GrainSize(i) = IO_floatValue(line,positions,2_pInt) case ('maxtwinfraction') constitutive_titanmod_MaxTwinFraction(i) = IO_floatValue(line,positions,2_pInt) case ('pe') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_pe_PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinp') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twinp_PerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('ps') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_ps_PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('qe') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_qe_PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinq') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twinq_PerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('qs') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_qs_PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinshearconstant') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twinshearconstant_PerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('dc') constitutive_titanmod_dc(i) = IO_floatValue(line,positions,2_pInt) case ('twinhpconstant') constitutive_titanmod_twinhpconstant(i) = IO_floatValue(line,positions,2_pInt) case ('atol_rho') constitutive_titanmod_aTolRho(i) = IO_floatValue(line,positions,2_pInt) case ('interactionslipslip') do j = 1_pInt, Nchunks_SlipSlip constitutive_titanmod_interactionSlipSlip(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('interactionee') do j = 1_pInt, lattice_maxNinteraction constitutive_titanmod_interaction_ee(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('interactionss') do j = 1_pInt, lattice_maxNinteraction constitutive_titanmod_interaction_ss(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('interactiones') do j = 1_pInt, lattice_maxNinteraction constitutive_titanmod_interaction_es(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('interactionsliptwin') do j = 1_pInt, Nchunks_SlipTwin constitutive_titanmod_interactionSlipTwin(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('interactiontwinslip') do j = 1_pInt, Nchunks_TwinSlip constitutive_titanmod_interactionTwinSlip(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case ('interactiontwintwin') do j = 1_pInt, Nchunks_TwinTwin constitutive_titanmod_interactionTwinTwin(j,i) = IO_floatValue(line,positions,1_pInt+j) enddo case default call IO_error(210_pInt,ext_msg=tag//' ('//constitutive_titanmod_label//')') end select endif enddo 100 do i = 1_pInt,maxNinstance constitutive_titanmod_structure(i) = & lattice_initializeStructure(constitutive_titanmod_structureName(i),constitutive_titanmod_CoverA(i)) myStructure = constitutive_titanmod_structure(i) !* Sanity checks if (myStructure < 1_pInt) call IO_error(205_pInt,e=i) if (sum(constitutive_titanmod_Nslip(:,i)) <= 0_pInt) call IO_error(211_pInt,e=i,ext_msg='nslip (' & //constitutive_titanmod_label//')') if (sum(constitutive_titanmod_Ntwin(:,i)) < 0_pInt) call IO_error(211_pInt,e=i,ext_msg='ntwin (' & //constitutive_titanmod_label//')') do f = 1_pInt,lattice_maxNslipFamily if (constitutive_titanmod_Nslip(f,i) > 0_pInt) then if (constitutive_titanmod_rho_edge0(f,i) < 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='rho_edge0 (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_rho_screw0(f,i) < 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='rho_screw0 (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_burgersPerSlipFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='slipburgers (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_f0_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='f0 (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_tau0e_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='tau0e (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_tau0s_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='tau0s (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_capre_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='capre (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_caprs_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='caprs (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_v0e_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='v0e (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_v0s_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='v0s (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_kinkcriticallength_PerSlipFamily(f,i) <= 0.0_pReal) & call IO_error(211_pInt,e=i,ext_msg='kinkCriticalLength (' & //constitutive_titanmod_label//')') endif enddo do f = 1_pInt,lattice_maxNtwinFamily if (constitutive_titanmod_Ntwin(f,i) > 0_pInt) then if (constitutive_titanmod_burgersPerTwinFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='twinburgers (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_twinf0_PerTwinFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='twinf0 (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_twinshearconstant_PerTwinFamily(f,i) <= 0.0_pReal) & call IO_error(211_pInt,e=i,ext_msg='twinshearconstant (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_twintau0_PerTwinFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='twintau0 (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_twingamma0_PerTwinFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='twingamma0 (' & //constitutive_titanmod_label//')') endif enddo if (constitutive_titanmod_dc(i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='dc (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_twinhpconstant(i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='twinhpconstant (' & //constitutive_titanmod_label//')') if (constitutive_titanmod_aTolRho(i) <= 0.0_pReal) call IO_error(211_pInt,e=i,ext_msg='aTolRho (' & //constitutive_titanmod_label//')') !* Determine total number of active slip or twin systems constitutive_titanmod_Nslip(:,i) = min(lattice_NslipSystem(:,myStructure),constitutive_titanmod_Nslip(:,i)) constitutive_titanmod_Ntwin(:,i) = min(lattice_NtwinSystem(:,myStructure),constitutive_titanmod_Ntwin(:,i)) constitutive_titanmod_totalNslip(i) = sum(constitutive_titanmod_Nslip(:,i)) constitutive_titanmod_totalNtwin(i) = sum(constitutive_titanmod_Ntwin(:,i)) enddo !* Allocation of variables whose size depends on the total number of active slip systems maxTotalNslip = maxval(constitutive_titanmod_totalNslip) maxTotalNtwin = maxval(constitutive_titanmod_totalNtwin) allocate(constitutive_titanmod_burgersPerSlipSystem(maxTotalNslip, maxNinstance)) allocate(constitutive_titanmod_burgersPerTwinSystem(maxTotalNtwin, maxNinstance)) allocate(constitutive_titanmod_f0_PerSlipSystem(maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_tau0e_PerSlipSystem(maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_tau0s_PerSlipSystem(maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_capre_PerSlipSystem(maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_caprs_PerSlipSystem(maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_pe_PerSlipSystem(maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_ps_PerSlipSystem(maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_qe_PerSlipSystem(maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_qs_PerSlipSystem(maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_v0e_PerSlipSystem(maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_v0s_PerSlipSystem(maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_kinkcriticallength_PerSlipSystem(maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_CeLambdaSlipPerSlipSystem(maxTotalNslip, maxNinstance)) allocate(constitutive_titanmod_CsLambdaSlipPerSlipSystem(maxTotalNslip, maxNinstance)) allocate(constitutive_titanmod_twinf0_PerTwinSystem(maxTotalNTwin,maxNinstance)) allocate(constitutive_titanmod_twinshearconstant_PerTwinSystem(maxTotalNTwin,maxNinstance)) allocate(constitutive_titanmod_twintau0_PerTwinSystem(maxTotalNTwin,maxNinstance)) allocate(constitutive_titanmod_twinp_PerTwinSystem(maxTotalNTwin,maxNinstance)) allocate(constitutive_titanmod_twinq_PerTwinSystem(maxTotalNTwin,maxNinstance)) allocate(constitutive_titanmod_twingamma0_PerTwinSystem(maxTotalNTwin,maxNinstance)) allocate(constitutive_titanmod_twinsizePerTwinSystem(maxTotalNtwin, maxNinstance)) allocate(constitutive_titanmod_twinLambdaSlipPerTwinSystem(maxTotalNtwin, maxNinstance)) constitutive_titanmod_burgersPerSlipSystem = 0.0_pReal constitutive_titanmod_burgersPerTwinSystem = 0.0_pReal constitutive_titanmod_f0_PerSlipSystem = 0.0_pReal constitutive_titanmod_tau0e_PerSlipSystem = 0.0_pReal constitutive_titanmod_tau0s_PerSlipSystem = 0.0_pReal constitutive_titanmod_capre_PerSlipSystem = 0.0_pReal constitutive_titanmod_caprs_PerSlipSystem = 0.0_pReal constitutive_titanmod_v0e_PerSlipSystem = 0.0_pReal constitutive_titanmod_v0s_PerSlipSystem = 0.0_pReal constitutive_titanmod_kinkcriticallength_PerSlipSystem = 0.0_pReal constitutive_titanmod_pe_PerSlipSystem = 0.0_pReal constitutive_titanmod_ps_PerSlipSystem = 0.0_pReal constitutive_titanmod_qe_PerSlipSystem = 0.0_pReal constitutive_titanmod_qs_PerSlipSystem = 0.0_pReal constitutive_titanmod_twinf0_PerTwinSystem = 0.0_pReal constitutive_titanmod_twinshearconstant_PerTwinSystem = 0.0_pReal constitutive_titanmod_twintau0_PerTwinSystem = 0.0_pReal constitutive_titanmod_twingamma0_PerTwinSystem = 0.0_pReal constitutive_titanmod_twinp_PerTwinSystem = 0.0_pReal constitutive_titanmod_twinq_PerTwinSystem = 0.0_pReal constitutive_titanmod_twinsizePerTwinSystem = 0.0_pReal constitutive_titanmod_CeLambdaSlipPerSlipSystem = 0.0_pReal constitutive_titanmod_CsLambdaSlipPerSlipSystem = 0.0_pReal constitutive_titanmod_twinLambdaSlipPerTwinSystem = 0.0_pReal allocate(constitutive_titanmod_interactionMatrixSlipSlip(maxTotalNslip,maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_interactionMatrix_ee(maxTotalNslip,maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_interactionMatrix_ss(maxTotalNslip,maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_interactionMatrix_es(maxTotalNslip,maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_interactionMatrixSlipTwin(maxTotalNslip,maxTotalNtwin,maxNinstance)) allocate(constitutive_titanmod_interactionMatrixTwinSlip(maxTotalNtwin,maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_interactionMatrixTwinTwin(maxTotalNtwin,maxTotalNtwin,maxNinstance)) allocate(constitutive_titanmod_forestProjectionEdge(maxTotalNslip,maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_forestProjectionScrew(maxTotalNslip,maxTotalNslip,maxNinstance)) allocate(constitutive_titanmod_TwinforestProjectionEdge(maxTotalNtwin,maxTotalNtwin,maxNinstance)) allocate(constitutive_titanmod_TwinforestProjectionScrew(maxTotalNtwin,maxTotalNtwin,maxNinstance)) constitutive_titanmod_interactionMatrixSlipSlip = 0.0_pReal constitutive_titanmod_interactionMatrix_ee = 0.0_pReal constitutive_titanmod_interactionMatrix_ss = 0.0_pReal constitutive_titanmod_interactionMatrix_es = 0.0_pReal constitutive_titanmod_interactionMatrixSlipTwin = 0.0_pReal constitutive_titanmod_interactionMatrixTwinSlip = 0.0_pReal constitutive_titanmod_interactionMatrixTwinTwin = 0.0_pReal constitutive_titanmod_forestProjectionEdge = 0.0_pReal constitutive_titanmod_forestProjectionScrew = 0.0_pReal constitutive_titanmod_TwinforestProjectionEdge = 0.0_pReal constitutive_titanmod_TwinforestProjectionScrew = 0.0_pReal allocate(constitutive_titanmod_Ctwin_66(6,6,maxTotalNtwin,maxNinstance)) allocate(constitutive_titanmod_Ctwin_3333(3,3,3,3,maxTotalNtwin,maxNinstance)) constitutive_titanmod_Ctwin_66 = 0.0_pReal constitutive_titanmod_Ctwin_3333 = 0.0_pReal do i = 1_pInt,maxNinstance myStructure = constitutive_titanmod_structure(i) !* Inverse lookup of slip system family l = 0_pInt do f = 1_pInt,lattice_maxNslipFamily do k = 1_pInt,constitutive_titanmod_Nslip(f,i) l = l + 1_pInt constitutive_titanmod_slipFamily(l,i) = f constitutive_titanmod_slipSystemLattice(l,i) = sum(lattice_NslipSystem(1:f-1_pInt,myStructure)) + k enddo; enddo !* Inverse lookup of twin system family l = 0_pInt do f = 1_pInt,lattice_maxNtwinFamily do k = 1_pInt,constitutive_titanmod_Ntwin(f,i) l = l + 1_pInt constitutive_titanmod_twinFamily(l,i) = f constitutive_titanmod_twinSystemLattice(l,i) = sum(lattice_NtwinSystem(1:f-1_pInt,myStructure)) + k enddo; enddo !* Determine size of state array ns = constitutive_titanmod_totalNslip(i) nt = constitutive_titanmod_totalNtwin(i) constitutive_titanmod_sizeDotState(i) = & size(constitutive_titanmod_listBasicSlipStates)*ns+size(constitutive_titanmod_listBasicTwinStates)*nt constitutive_titanmod_sizeState(i) = & constitutive_titanmod_sizeDotState(i)+ & size(constitutive_titanmod_listDependentSlipStates)*ns+size(constitutive_titanmod_listDependentTwinStates)*nt !* Determine size of postResults array do o = 1_pInt,constitutive_titanmod_Noutput(i) mySize = 0_pInt select case(constitutive_titanmod_output(o,i)) case('rhoedge', & 'rhoscrew', & 'segment_edge', & 'segment_screw', & 'resistance_edge', & 'resistance_screw', & 'velocity_edge', & 'velocity_screw', & 'tau_slip', & 'gdot_slip_edge', & 'gdot_slip_screw', & 'gdot_slip', & 'stressratio_edge_p', & 'stressratio_screw_p', & 'shear_system' & ) mySize = constitutive_titanmod_totalNslip(i) case('twin_fraction', & 'gdot_twin', & 'tau_twin' & ) mySize = constitutive_titanmod_totalNtwin(i) case('shear_basal', & ! use only if all 4 slip families in hex are considered 'shear_prism', & ! use only if all 4 slip families in hex are considered 'shear_pyra', & ! use only if all 4 slip families in hex are considered 'shear_pyrca', & ! use only if all 4 slip families in hex are considered 'rhoedge_basal', & 'rhoedge_prism', & 'rhoedge_pyra', & 'rhoedge_pyrca', & 'rhoscrew_basal', & 'rhoscrew_prism', & 'rhoscrew_pyra', & 'rhoscrew_pyrca', & 'shear_total' & ) mySize = 1_pInt case default call IO_error(212_pInt,ext_msg=constitutive_titanmod_output(o,i)//' ('//constitutive_titanmod_label//')') end select if (mySize > 0_pInt) then ! any meaningful output found constitutive_titanmod_sizePostResult(o,i) = mySize constitutive_titanmod_sizePostResults(i) = constitutive_titanmod_sizePostResults(i) + mySize endif enddo !* Elasticity matrix and shear modulus according to material.config constitutive_titanmod_Cslip_66(:,:,i) = lattice_symmetrizeC66(constitutive_titanmod_structureName(i),& constitutive_titanmod_Cslip_66(:,:,i)) constitutive_titanmod_Gmod(i) = & 0.2_pReal*(constitutive_titanmod_Cslip_66(1,1,i)-constitutive_titanmod_Cslip_66(1,2,i))& + 0.3_pReal*constitutive_titanmod_Cslip_66(4,4,i) constitutive_titanmod_Cslip_66(1:6,1:6,i) = & math_Mandel3333to66(math_Voigt66to3333(constitutive_titanmod_Cslip_66(1:6,1:6,i))) constitutive_titanmod_Cslip_3333(1:3,1:3,1:3,1:3,i) = & math_Voigt66to3333(constitutive_titanmod_Cslip_66(1:6,1:6,i)) !* Construction of the twin elasticity matrices do j=1_pInt,lattice_maxNtwinFamily do k=1_pInt,constitutive_titanmod_Ntwin(j,i) 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_titanmod_Ctwin_3333(l,m,n,o,sum(constitutive_titanmod_Nslip(1:j-1_pInt,i))+k,i) = & constitutive_titanmod_Ctwin_3333(l,m,n,o,sum(constitutive_titanmod_Nslip(1:j-1_pInt,i))+k,i) + & constitutive_titanmod_Cslip_3333(p,q,r,s,i)*& lattice_Qtwin(l,p,sum(lattice_NslipSystem(1:j-1_pInt,myStructure))+k,myStructure)* & lattice_Qtwin(m,q,sum(lattice_NslipSystem(1:j-1_pInt,myStructure))+k,myStructure)* & lattice_Qtwin(n,r,sum(lattice_NslipSystem(1:j-1_pInt,myStructure))+k,myStructure)* & lattice_Qtwin(o,s,sum(lattice_NslipSystem(1:j-1_pInt,myStructure))+k,myStructure) enddo ; enddo ; enddo ; enddo ; enddo ; enddo ; enddo ; enddo constitutive_titanmod_Ctwin_66(1:6,1:6,k,i) = & math_Mandel3333to66(constitutive_titanmod_Ctwin_3333(1:3,1:3,1:3,1:3,k,i)) enddo enddo !* Burgers vector, dislocation velocity prefactor for each slip system do s = 1_pInt,constitutive_titanmod_totalNslip(i) f = constitutive_titanmod_slipFamily(s,i) constitutive_titanmod_burgersPerSlipSystem(s,i) = constitutive_titanmod_burgersPerSlipFamily(f,i) constitutive_titanmod_f0_PerSlipSystem(s,i) = constitutive_titanmod_f0_PerSlipFamily(f,i) constitutive_titanmod_tau0e_PerSlipSystem(s,i) = constitutive_titanmod_tau0e_PerSlipFamily(f,i) constitutive_titanmod_tau0s_PerSlipSystem(s,i) = constitutive_titanmod_tau0s_PerSlipFamily(f,i) constitutive_titanmod_capre_PerSlipSystem(s,i) = constitutive_titanmod_capre_PerSlipFamily(f,i) constitutive_titanmod_caprs_PerSlipSystem(s,i) = constitutive_titanmod_caprs_PerSlipFamily(f,i) constitutive_titanmod_v0e_PerSlipSystem(s,i) = constitutive_titanmod_v0e_PerSlipFamily(f,i) constitutive_titanmod_v0s_PerSlipSystem(s,i) = constitutive_titanmod_v0s_PerSlipFamily(f,i) constitutive_titanmod_kinkcriticallength_PerSlipSystem(s,i) = constitutive_titanmod_kinkcriticallength_PerSlipFamily(f,i) constitutive_titanmod_pe_PerSlipSystem(s,i) = constitutive_titanmod_pe_PerSlipFamily(f,i) constitutive_titanmod_ps_PerSlipSystem(s,i) = constitutive_titanmod_ps_PerSlipFamily(f,i) constitutive_titanmod_qe_PerSlipSystem(s,i) = constitutive_titanmod_qe_PerSlipFamily(f,i) constitutive_titanmod_qs_PerSlipSystem(s,i) = constitutive_titanmod_qs_PerSlipFamily(f,i) constitutive_titanmod_CeLambdaSlipPerSlipSystem(s,i) = constitutive_titanmod_CeLambdaSlipPerSlipFamily(f,i) constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,i) = constitutive_titanmod_CsLambdaSlipPerSlipFamily(f,i) enddo !* Burgers vector, nucleation rate prefactor and twin size for each twin system do t = 1_pInt,constitutive_titanmod_totalNtwin(i) f = constitutive_titanmod_twinFamily(t,i) constitutive_titanmod_burgersPerTwinSystem(t,i) = constitutive_titanmod_burgersPerTwinFamily(f,i) constitutive_titanmod_twinsizePerTwinSystem(t,i) = constitutive_titanmod_twinsizePerTwinFamily(f,i) constitutive_titanmod_twinf0_PerTwinSystem(t,i) = constitutive_titanmod_twinf0_PerTwinFamily(f,i) constitutive_titanmod_twinshearconstant_PerTwinSystem(t,i) = constitutive_titanmod_twinshearconstant_PerTwinFamily(f,i) constitutive_titanmod_twintau0_PerTwinSystem(t,i) = constitutive_titanmod_twintau0_PerTwinFamily(f,i) constitutive_titanmod_twingamma0_PerTwinSystem(t,i) = constitutive_titanmod_twingamma0_PerTwinFamily(f,i) constitutive_titanmod_twinp_PerTwinSystem(t,i) = constitutive_titanmod_twinp_PerTwinFamily(f,i) constitutive_titanmod_twinq_PerTwinSystem(t,i) = constitutive_titanmod_twinq_PerTwinFamily(f,i) constitutive_titanmod_twinLambdaSlipPerTwinSystem(t,i) = constitutive_titanmod_twinLambdaSlipPerTwinFamily(f,i) enddo !* Construction of interaction matrices do s1 = 1_pInt,constitutive_titanmod_totalNslip(i) do s2 = 1_pInt,constitutive_titanmod_totalNslip(i) constitutive_titanmod_interactionMatrixSlipSlip(s1,s2,i) = & constitutive_titanmod_interactionSlipSlip(lattice_interactionSlipSlip(constitutive_titanmod_slipSystemLattice(s1,i), & constitutive_titanmod_slipSystemLattice(s2,i), & myStructure),i) constitutive_titanmod_interactionMatrix_ee(s1,s2,i) = & constitutive_titanmod_interaction_ee(lattice_interactionSlipSlip(constitutive_titanmod_slipSystemLattice(s1,i), & constitutive_titanmod_slipSystemLattice(s2,i), & myStructure),i) constitutive_titanmod_interactionMatrix_ss(s1,s2,i) = & constitutive_titanmod_interaction_ss(lattice_interactionSlipSlip(constitutive_titanmod_slipSystemLattice(s1,i), & constitutive_titanmod_slipSystemLattice(s2,i), & myStructure),i) constitutive_titanmod_interactionMatrix_es(s1,s2,i) = & constitutive_titanmod_interaction_es(lattice_interactionSlipSlip(constitutive_titanmod_slipSystemLattice(s1,i), & constitutive_titanmod_slipSystemLattice(s2,i), & myStructure),i) enddo; enddo do s1 = 1_pInt,constitutive_titanmod_totalNslip(i) do t2 = 1_pInt,constitutive_titanmod_totalNtwin(i) constitutive_titanmod_interactionMatrixSlipTwin(s1,t2,i) = & constitutive_titanmod_interactionSlipTwin(lattice_interactionSlipTwin(constitutive_titanmod_slipSystemLattice(s1,i), & constitutive_titanmod_twinSystemLattice(t2,i), & myStructure),i) enddo; enddo do t1 = 1_pInt,constitutive_titanmod_totalNtwin(i) do s2 = 1_pInt,constitutive_titanmod_totalNslip(i) constitutive_titanmod_interactionMatrixTwinSlip(t1,s2,i) = & constitutive_titanmod_interactionTwinSlip(lattice_interactionTwinSlip(constitutive_titanmod_twinSystemLattice(t1,i), & constitutive_titanmod_slipSystemLattice(s2,i), & myStructure),i) enddo; enddo do t1 = 1_pInt,constitutive_titanmod_totalNtwin(i) do t2 = 1_pInt,constitutive_titanmod_totalNtwin(i) constitutive_titanmod_interactionMatrixTwinTwin(t1,t2,i) = & constitutive_titanmod_interactionTwinTwin(lattice_interactionTwinTwin(constitutive_titanmod_twinSystemLattice(t1,i), & constitutive_titanmod_twinSystemLattice(t2,i), & myStructure),i) enddo; enddo !* Calculation of forest projections for edge dislocations do s1 = 1_pInt,constitutive_titanmod_totalNslip(i) do s2 = 1_pInt,constitutive_titanmod_totalNslip(i) constitutive_titanmod_forestProjectionEdge(s1,s2,i) = & abs(math_mul3x3(lattice_sn(:,constitutive_titanmod_slipSystemLattice(s1,i),myStructure), & lattice_st(:,constitutive_titanmod_slipSystemLattice(s2,i),myStructure))) !* Calculation of forest projections for screw dislocations constitutive_titanmod_forestProjectionScrew(s1,s2,i) = & abs(math_mul3x3(lattice_sn(:,constitutive_titanmod_slipSystemLattice(s1,i),myStructure), & lattice_sd(:,constitutive_titanmod_slipSystemLattice(s2,i),myStructure))) enddo; enddo !* Calculation of forest projections for edge dislocations in twin system do t1 = 1_pInt,constitutive_titanmod_totalNtwin(i) do t2 = 1_pInt,constitutive_titanmod_totalNtwin(i) constitutive_titanmod_TwinforestProjectionEdge(t1,t2,i) = & abs(math_mul3x3(lattice_tn(:,constitutive_titanmod_twinSystemLattice(t1,i),myStructure), & lattice_tt(:,constitutive_titanmod_twinSystemLattice(t2,i),myStructure))) !* Calculation of forest projections for screw dislocations in twin system constitutive_titanmod_TwinforestProjectionScrew(t1,t2,i) = & abs(math_mul3x3(lattice_tn(:,constitutive_titanmod_twinSystemLattice(t1,i),myStructure), & lattice_td(:,constitutive_titanmod_twinSystemLattice(t2,i),myStructure))) enddo; enddo enddo end subroutine function constitutive_titanmod_stateInit(myInstance) !********************************************************************* !* initial microstructural state * !********************************************************************* use prec, only: pReal,pInt use lattice, only: lattice_maxNslipFamily,lattice_maxNtwinFamily implicit none !* Input-Output variables integer(pInt) :: myInstance real(pReal), dimension(constitutive_titanmod_sizeState(myInstance)) :: constitutive_titanmod_stateInit !* Local variables integer(pInt) s0,s1,s,t,f,ns,nt,ts0,ts1,tf,ts real(pReal), dimension(constitutive_titanmod_totalNslip(myInstance)) :: rho_edge0, & rho_screw0, & shear_system0, & segment_edge0, & segment_screw0, & resistance_edge0, & resistance_screw0 real(pReal), dimension(constitutive_titanmod_totalNtwin(myInstance)) :: twingamma_dot0, & resistance_twin0 ns = constitutive_titanmod_totalNslip(myInstance) nt = constitutive_titanmod_totalNtwin(myInstance) constitutive_titanmod_stateInit = 0.0_pReal !* Initialize basic slip state variables ! For slip s1 = 0_pInt do f = 1_pInt,lattice_maxNslipFamily s0 = s1 + 1_pInt s1 = s0 + constitutive_titanmod_Nslip(f,myInstance) - 1_pInt do s = s0,s1 rho_edge0(s) = constitutive_titanmod_rho_edge0(f,myInstance) rho_screw0(s) = constitutive_titanmod_rho_screw0(f,myInstance) shear_system0(s) = 0.0_pReal enddo enddo !* Initialize basic slip state variables ! For twin ts1 = 0_pInt do tf = 1_pInt,lattice_maxNtwinFamily ts0 = ts1 + 1_pInt ts1 = ts0 + constitutive_titanmod_Ntwin(tf,myInstance) - 1_pInt do ts = ts0,ts1 twingamma_dot0(ts)=0.0_pReal enddo enddo constitutive_titanmod_stateInit(1:ns) = rho_edge0 constitutive_titanmod_stateInit(ns+1_pInt:2_pInt*ns) = rho_screw0 constitutive_titanmod_stateInit(2_pInt*ns+1_pInt:3_pInt*ns) = shear_system0 constitutive_titanmod_stateInit(3_pInt*ns+1_pInt:3_pInt*ns+nt) = twingamma_dot0 !* Initialize dependent slip microstructural variables forall (s = 1_pInt:ns) & segment_edge0(s) = constitutive_titanmod_CeLambdaSlipPerSlipSystem(s,myInstance)/ & sqrt(dot_product((rho_edge0),constitutive_titanmod_forestProjectionEdge(1:ns,s,myInstance))+ & dot_product((rho_screw0),constitutive_titanmod_forestProjectionScrew(1:ns,s,myInstance))) constitutive_titanmod_stateInit(3_pInt*ns+nt+1_pInt:4_pInt*ns+nt) = segment_edge0 forall (s = 1_pInt:ns) & segment_screw0(s) = constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,myInstance)/ & sqrt(dot_product((rho_edge0),constitutive_titanmod_forestProjectionEdge(1:ns,s,myInstance))+ & dot_product((rho_screw0),constitutive_titanmod_forestProjectionScrew(1:ns,s,myInstance))) constitutive_titanmod_stateInit(4_pInt*ns+nt+1_pInt:5_pInt*ns+nt) = segment_screw0 forall (s = 1_pInt:ns) & resistance_edge0(s) = & constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(s,myInstance)* & sqrt(dot_product((rho_edge0),constitutive_titanmod_interactionMatrix_ee(1:ns,s,myInstance))+dot_product((rho_screw0), & constitutive_titanmod_interactionMatrix_es(1:ns,s,myInstance))) constitutive_titanmod_stateInit(5_pInt*ns+nt+1_pInt:6_pInt*ns+nt) = resistance_edge0 forall (s = 1_pInt:ns) & resistance_screw0(s) = & constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(s,myInstance)* & sqrt(dot_product((rho_edge0),constitutive_titanmod_interactionMatrix_es(1:ns,s,myInstance))+dot_product((rho_screw0), & constitutive_titanmod_interactionMatrix_ss(1:ns,s,myInstance))) constitutive_titanmod_stateInit(6_pInt*ns+nt+1_pInt:7_pInt*ns+nt) = resistance_screw0 forall (t = 1_pInt:nt) & resistance_twin0(t) = 0.0_pReal constitutive_titanmod_stateInit(7_pInt*ns+nt+1_pInt:7_pInt*ns+2_pInt*nt)=resistance_twin0 end function pure function constitutive_titanmod_aTolState(myInstance) !********************************************************************* !* absolute state tolerance * !********************************************************************* use prec, only: pReal, pInt implicit none !* Input-Output variables integer(pInt), intent(in) :: myInstance real(pReal), dimension(constitutive_titanmod_sizeState(myInstance)) :: constitutive_titanmod_aTolState constitutive_titanmod_aTolState = constitutive_titanmod_aTolRho(myInstance) endfunction pure function constitutive_titanmod_homogenizedC(state,g,ip,el) !********************************************************************* !* calculates homogenized elacticity matrix * !* - state : microstructure quantities * !* - g : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !********************************************************************* use prec, only: pReal,pInt,p_vec use mesh, only: mesh_NcpElems,mesh_maxNips use material, only: homogenization_maxNgrains,material_phase,phase_plasticityInstance implicit none !* Input-Output variables integer(pInt), intent(in) :: g,ip,el type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state real(pReal), dimension(6,6) :: constitutive_titanmod_homogenizedC real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_plasticityInstance(material_phase(g,ip,el)))) :: & volumefraction_pertwinsystem !* Local variables integer(pInt) myInstance,ns,nt,i real(pReal) sumf !* Shortened notation myInstance = phase_plasticityInstance(material_phase(g,ip,el)) ns = constitutive_titanmod_totalNslip(myInstance) nt = constitutive_titanmod_totalNtwin(myInstance) !* Total twin volume fraction do i=1_pInt,nt volumefraction_pertwinsystem(i)=state(g,ip,el)%p(3_pInt*ns+i)/ & constitutive_titanmod_twinshearconstant_PerTwinSystem(i,myInstance) enddo !sumf = sum(state(g,ip,el)%p((6*ns+7*nt+1):(6*ns+8*nt))) ! safe for nt == 0 sumf = sum(abs(volumefraction_pertwinsystem(1:nt))) ! safe for nt == 0 !* Homogenized elasticity matrix constitutive_titanmod_homogenizedC = (1.0_pReal-sumf)*constitutive_titanmod_Cslip_66(:,:,myInstance) do i=1_pInt,nt constitutive_titanmod_homogenizedC = & ! constitutive_titanmod_homogenizedC + state(g,ip,el)%p(6*ns+7*nt+i)*constitutive_titanmod_Ctwin_66(:,:,i,myInstance) constitutive_titanmod_homogenizedC + volumefraction_pertwinsystem(i)*constitutive_titanmod_Ctwin_66(:,:,i,myInstance) enddo end function subroutine constitutive_titanmod_microstructure(Temperature,state,g,ip,el) !********************************************************************* !* calculates quantities characterizing the microstructure * !* - Temperature : temperature * !* - state : microstructure quantities * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !********************************************************************* use prec, only: pReal,pInt,p_vec use mesh, only: mesh_NcpElems,mesh_maxNips use material, only: homogenization_maxNgrains,material_phase,phase_plasticityInstance implicit none !* Input-Output variables integer(pInt), intent(in) :: g,ip,el real(pReal), intent(in) :: Temperature type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(inout) :: state !* Local variables integer(pInt) myInstance,myStructure,ns,nt,s,t,i real(pReal) sumf,sfe real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_plasticityInstance(material_phase(g,ip,el)))) :: & volumefraction_pertwinsystem !* Shortened notation myInstance = phase_plasticityInstance(material_phase(g,ip,el)) myStructure = constitutive_titanmod_structure(myInstance) ns = constitutive_titanmod_totalNslip(myInstance) nt = constitutive_titanmod_totalNtwin(myInstance) ! Need to update this list !* State: 1 : ns rho_edge !* State: ns+1 : 2*ns rho_screw !* State: 2*ns+1 : 3*ns shear_system !* State: 3*ns+1 : 3*ns+nt gamma_twin !* State: 3*ns+nt+1 : 4*ns+nt segment_edge !* State: 4*ns+nt+1 : 5*ns+nt segment_screw !* State: 5*ns+nt+1 : 6*ns+nt resistance_edge !* State: 6*ns+nt+1 : 7*ns+nt resistance_screw !* State: 7*ns+nt+1 : 7*ns+2*nt resistance_twin !* State: 7*ns+2*nt+1 : 8*ns+2*nt velocity_edge !* State: 8*ns+2*nt+1 : 9*ns+2*nt velocity_screw !* State: 9*ns+2*nt+1 : 10*ns+2*nt tau_slip !* State: 10*ns+2*nt+1 : 11*ns+2*nt gdot_slip_edge !* State: 11*ns+2*nt+1 : 12*ns+2*nt gdot_slip_screw !* State: 12*ns+2*nt+1 : 13*ns+2*nt StressRatio_edge_p !* State: 13*ns+2*nt+1 : 14*ns+2*nt StressRatio_screw_p !* Total twin volume fraction do i=1_pInt,nt volumefraction_pertwinsystem(i)=state(g,ip,el)%p(3_pInt*ns+i)/ & constitutive_titanmod_twinshearconstant_PerTwinSystem(i,myInstance) enddo !sumf = sum(state(g,ip,el)%p((6*ns+7*nt+1):(6*ns+8*nt))) ! safe for nt == 0 sumf = sum(abs(volumefraction_pertwinsystem(1:nt))) ! safe for nt == 0 !* Stacking fault energy sfe = 0.0002_pReal*Temperature-0.0396_pReal !* rescaled twin volume fraction for topology !forall (t = 1:nt) & ! fOverStacksize(t) = & ! state(g,ip,el)%p(2*ns+t)/constitutive_titanmod_twinsizePerTwinSystem(t,myInstance) ! average segment length for edge dislocations in matrix forall (s = 1_pInt:ns) & state(g,ip,el)%p(3_pInt*ns+nt+s) = constitutive_titanmod_CeLambdaSlipPerSlipSystem(s,myInstance)/ & sqrt(dot_product(state(g,ip,el)%p(1:ns), & constitutive_titanmod_forestProjectionEdge(1:ns,s,myInstance))+ & dot_product(state(g,ip,el)%p(ns+1_pInt:2_pInt*ns), & constitutive_titanmod_forestProjectionScrew(1:ns,s,myInstance))) ! average segment length for screw dislocations in matrix forall (s = 1_pInt:ns) & state(g,ip,el)%p(4_pInt*ns+nt+s) = constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,myInstance)/ & sqrt(dot_product(state(g,ip,el)%p(1:ns), & constitutive_titanmod_forestProjectionEdge(1:ns,s,myInstance))+ & dot_product(state(g,ip,el)%p(ns+1_pInt:2_pInt*ns), & constitutive_titanmod_forestProjectionScrew(1:ns,s,myInstance))) !* threshold stress or slip resistance for edge dislocation motion forall (s = 1_pInt:ns) & state(g,ip,el)%p(5_pInt*ns+nt+s) = & constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(s,myInstance)*& sqrt(dot_product((state(g,ip,el)%p(1:ns)),& constitutive_titanmod_interactionMatrix_ee(1:ns,s,myInstance))+ & dot_product((state(g,ip,el)%p(ns+1_pInt:2_pInt*ns)),& constitutive_titanmod_interactionMatrix_es(1:ns,s,myInstance))) !* threshold stress or slip resistance for screw dislocation motion forall (s = 1_pInt:ns) & state(g,ip,el)%p(6_pInt*ns+nt+s) = & constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(s,myInstance)*& sqrt(dot_product((state(g,ip,el)%p(1:ns)),& constitutive_titanmod_interactionMatrix_es(1:ns,s,myInstance))+ & dot_product((state(g,ip,el)%p(ns+1_pInt:2_pInt*ns)),& constitutive_titanmod_interactionMatrix_ss(1:ns,s,myInstance))) !* threshold stress or slip resistance for dislocation motion in twin forall (t = 1_pInt:nt) & state(g,ip,el)%p(7_pInt*ns+nt+t) = & constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerTwinSystem(t,myInstance)*& (dot_product((abs(state(g,ip,el)%p(2_pInt*ns+1_pInt:2_pInt*ns+nt))),& constitutive_titanmod_interactionMatrixTwinTwin(1:nt,t,myInstance))) end subroutine subroutine constitutive_titanmod_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,state,g,ip,el) !********************************************************************* !* calculates plastic velocity gradient and its tangent * !* INPUT: * !* - Temperature : temperature * !* - state : microstructure quantities * !* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - ipc : component-ID at current integration point * !* - ip : current integration point * !* - el : current element * !* OUTPUT: * !* - Lp : plastic velocity gradient * !* - dLp_dTstar : derivative of Lp (4th-rank tensor) * !********************************************************************* use prec, only: pReal,pInt,p_vec use math, only: math_Plain3333to99 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_v,lattice_maxNslipFamily,lattice_maxNtwinFamily, & lattice_NslipSystem,lattice_NtwinSystem, lattice_Stwin implicit none !* Input-Output variables integer(pInt), intent(in) :: g,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 !* Local variables integer(pInt) myInstance,myStructure,ns,nt,f,i,j,k,l,m,n,index_myFamily real(pReal) sumf,StressRatio_edge_p,minusStressRatio_edge_p,StressRatio_edge_pminus1,StressRatio_screw_p, & StressRatio_screw_pminus1, BoltzmannRatioedge, minusStressRatio_screw_p, & screwvelocity_prefactor,twinStressRatio_p,twinminusStressRatio_p,twinStressRatio_pminus1, & twinDotGamma0,BoltzmannRatioscrew,BoltzmannRatiotwin,bottomstress_edge,bottomstress_screw real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333 real(pReal), dimension(constitutive_titanmod_totalNslip(phase_plasticityInstance(material_phase(g,ip,el)))) :: & gdot_slip,dgdot_dtauslip,tau_slip, edge_velocity, screw_velocity,gdot_slip_edge,gdot_slip_screw real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_plasticityInstance(material_phase(g,ip,el)))) :: & gdot_twin,dgdot_dtautwin,tau_twin, volumefraction_pertwinsystem !* Shortened notation myInstance = phase_plasticityInstance(material_phase(g,ip,el)) myStructure = constitutive_titanmod_structure(myInstance) ns = constitutive_titanmod_totalNslip(myInstance) nt = constitutive_titanmod_totalNtwin(myInstance) do i=1_pInt,nt volumefraction_pertwinsystem(i)=state(g,ip,el)%p(3_pInt*ns+i)/ & constitutive_titanmod_twinshearconstant_PerTwinSystem(i,myInstance) enddo sumf = sum(abs(volumefraction_pertwinsystem(1: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 gdot_slip_edge = 0.0_pReal gdot_slip_screw = 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,myStructure)) ! at which index starts my family do i = 1_pInt,constitutive_titanmod_Nslip(f,myInstance) ! 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,myStructure)) !************************************************* !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! if(myStructure>=3.and.j>3) then ! for all non-basal slip systems if(myStructure==3_pInt) then ! only for prismatic and pyr systems in hex screwvelocity_prefactor=constitutive_titanmod_debyefrequency(myInstance)* & state(g,ip,el)%p(4_pInt*ns+nt+j)*(constitutive_titanmod_burgersPerSlipSystem(j,myInstance)/ & constitutive_titanmod_kinkcriticallength_PerSlipSystem(j,myInstance))**2 !* Stress ratio for screw ! No slip resistance for screw dislocations, only Peierls stress bottomstress_screw=constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance) StressRatio_screw_p = ((abs(tau_slip(j)))/ & ( bottomstress_screw) & )**constitutive_titanmod_ps_PerSlipSystem(j,myInstance) if((1.0_pReal-StressRatio_screw_p)>0.001_pReal) then minusStressRatio_screw_p=1.0_pReal-StressRatio_screw_p else minusStressRatio_screw_p=0.001_pReal endif bottomstress_screw=constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance) StressRatio_screw_pminus1 = ((abs(tau_slip(j)))/ & ( bottomstress_screw) & )**(constitutive_titanmod_ps_PerSlipSystem(j,myInstance)-1.0_pReal) !* Boltzmann ratio for screw BoltzmannRatioscrew = constitutive_titanmod_kinkf0(myInstance)/(kB*Temperature) else ! if the structure is not hex or the slip family is basal screwvelocity_prefactor=constitutive_titanmod_v0s_PerSlipSystem(j,myInstance) bottomstress_screw=constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance)+state(g,ip,el)%p(6*ns+nt+j) StressRatio_screw_p = ((abs(tau_slip(j)))/( bottomstress_screw ))**constitutive_titanmod_ps_PerSlipSystem(j,myInstance) if((1.0_pReal-StressRatio_screw_p)>0.001_pReal) then minusStressRatio_screw_p=1.0_pReal-StressRatio_screw_p else minusStressRatio_screw_p=0.001_pReal endif StressRatio_screw_pminus1 = ((abs(tau_slip(j)))/( bottomstress_screw))** & (constitutive_titanmod_ps_PerSlipSystem(j,myInstance)-1.0_pReal) !* Boltzmann ratio for screw BoltzmannRatioscrew = constitutive_titanmod_f0_PerSlipSystem(j,myInstance)/(kB*Temperature) endif !* Stress ratio for edge bottomstress_edge=constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance)+state(g,ip,el)%p(5*ns+nt+j) StressRatio_edge_p = ((abs(tau_slip(j)))/ & ( bottomstress_edge) & )**constitutive_titanmod_pe_PerSlipSystem(j,myInstance) if((1.0_pReal-StressRatio_edge_p)>0.001_pReal) then minusStressRatio_edge_p=1.0_pReal-StressRatio_edge_p else minusStressRatio_edge_p=0.001_pReal endif StressRatio_edge_pminus1 = ((abs(tau_slip(j)))/( bottomstress_edge))** & (constitutive_titanmod_pe_PerSlipSystem(j,myInstance)-1.0_pReal) !* Boltzmann ratio for edge. For screws it is defined above BoltzmannRatioedge = constitutive_titanmod_f0_PerSlipSystem(j,myInstance)/(kB*Temperature) screw_velocity(j) =screwvelocity_prefactor * & ! there is no v0 for screw now because it is included in the prefactor exp(-BoltzmannRatioscrew*(minusStressRatio_screw_p)** & constitutive_titanmod_qs_PerSlipSystem(j,myInstance)) edge_velocity(j) =constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatioedge* & (minusStressRatio_edge_p)** & constitutive_titanmod_qe_PerSlipSystem(j,myInstance)) !* Shear rates due to edge slip gdot_slip_edge(j) = constitutive_titanmod_burgersPerSlipSystem(j,myInstance)*(state(g,ip,el)%p(j)* & edge_velocity(j))* sign(1.0_pReal,tau_slip(j)) !* Shear rates due to screw slip gdot_slip_screw(j) = constitutive_titanmod_burgersPerSlipSystem(j,myInstance)*(state(g,ip,el)%p(ns+j) * & screw_velocity(j))* sign(1.0_pReal,tau_slip(j)) !Total shear rate gdot_slip(j) = gdot_slip_edge(j) + gdot_slip_screw(j) state(g,ip,el)%p(7*ns+2*nt+j)=edge_velocity(j) state(g,ip,el)%p(8*ns+2*nt+j)=screw_velocity(j) state(g,ip,el)%p(9*ns+2*nt+j)=tau_slip(j) state(g,ip,el)%p(10*ns+2*nt+j)=gdot_slip_edge(j) state(g,ip,el)%p(11*ns+2*nt+j)=gdot_slip_screw(j) state(g,ip,el)%p(12*ns+2*nt+j)=StressRatio_edge_p state(g,ip,el)%p(13*ns+2*nt+j)=StressRatio_screw_p !* Derivatives of shear rates dgdot_dtauslip(j) = constitutive_titanmod_burgersPerSlipSystem(j,myInstance)*(( & ( & ( & ( & (edge_velocity(j)*state(g,ip,el)%p(j))) * & BoltzmannRatioedge*& constitutive_titanmod_pe_PerSlipSystem(j,myInstance)* & constitutive_titanmod_qe_PerSlipSystem(j,myInstance) & )/ & bottomstress_edge & )*& StressRatio_edge_pminus1*(minusStressRatio_edge_p)** & (constitutive_titanmod_qe_PerSlipSystem(j,myInstance)-1.0_pReal) & ) + & ( & ( & ( & (state(g,ip,el)%p(ns+j) * screw_velocity(j)) * & BoltzmannRatioscrew* & constitutive_titanmod_ps_PerSlipSystem(j,myInstance)* & constitutive_titanmod_qs_PerSlipSystem(j,myInstance) & )/ & bottomstress_screw & )*& StressRatio_screw_pminus1*(minusStressRatio_screw_p)**(constitutive_titanmod_qs_PerSlipSystem(j,myInstance)-1.0_pReal) & ) & ) !* sign(1.0_pReal,tau_slip(j)) !************************************************* !sumf=0.0_pReal !* Plastic velocity gradient for dislocation glide Lp = Lp + (1.0_pReal - sumf)*gdot_slip(j)*lattice_Sslip(:,:,index_myFamily+i,myStructure) !* 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,index_myFamily+i,myStructure)*& lattice_Sslip(m,n,index_myFamily+i,myStructure) enddo enddo !* 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,myStructure)) ! at which index starts my family do i = 1_pInt,constitutive_titanmod_Ntwin(f,myInstance) ! 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,myStructure)) !************************************************************************************** !* Stress ratios ! StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_titanmod_r(myInstance) !* Shear rates and their derivatives due to twin ! if ( tau_twin(j) > 0.0_pReal ) !then ! gdot_twin(j) = 0.0_pReal!& ! (constitutive_titanmod_MaxTwinFraction(myInstance)-sumf)*lattice_shearTwin(index_myFamily+i,myStructure)*& ! state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_titanmod_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r) ! dgdot_dtautwin(j) = ((gdot_twin(j)*constitutive_titanmod_r(myInstance))/tau_twin(j))*StressRatio_r ! endif !************************************************************************************** !* Stress ratio for edge twinStressRatio_p = ((abs(tau_twin(j)))/ & ( constitutive_titanmod_twintau0_PerTwinSystem(j,myInstance)+state(g,ip,el)%p(7*ns+nt+j)) & )**constitutive_titanmod_twinp_PerTwinSystem(j,myInstance) if((1.0_pReal-twinStressRatio_p)>0.001_pReal) then twinminusStressRatio_p=1.0_pReal-twinStressRatio_p else twinminusStressRatio_p=0.001_pReal endif twinStressRatio_pminus1 = ((abs(tau_twin(j)))/ & ( constitutive_titanmod_twintau0_PerTwinSystem(j,myInstance)+state(g,ip,el)%p(7*ns+nt+j)) & )**(constitutive_titanmod_twinp_PerTwinSystem(j,myInstance)-1.0_pReal) !* Boltzmann ratio BoltzmannRatiotwin = constitutive_titanmod_twinf0_PerTwinSystem(j,myInstance)/(kB*Temperature) !* Initial twin shear rates TwinDotGamma0 = & constitutive_titanmod_twingamma0_PerTwinSystem(j,myInstance) !* Shear rates due to twin gdot_twin(j) =sign(1.0_pReal,tau_twin(j))*constitutive_titanmod_twingamma0_PerTwinSystem(j,myInstance)* & exp(-BoltzmannRatiotwin*(twinminusStressRatio_p)**constitutive_titanmod_twinq_PerTwinSystem(j,myInstance)) !* Derivatives of shear rates in twin dgdot_dtautwin(j) = ( & ( & ( & (abs(gdot_twin(j))) * & BoltzmannRatiotwin*& constitutive_titanmod_twinp_PerTwinSystem(j,myInstance)* & constitutive_titanmod_twinq_PerTwinSystem(j,myInstance) & )/ & constitutive_titanmod_twintau0_PerTwinSystem(j,myInstance) & )*& twinStressRatio_pminus1*(twinminusStressRatio_p)** & (constitutive_titanmod_twinq_PerTwinSystem(j,myInstance)-1.0_pReal) & ) !* sign(1.0_pReal,tau_slip(j)) !* Plastic velocity gradient for mechanical twinning ! Lp = Lp + sumf*gdot_twin(j)*lattice_Stwin(:,:,index_myFamily+i,myStructure) Lp = Lp + gdot_twin(j)*lattice_Stwin(:,:,index_myFamily+i,myStructure) !* 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,myStructure)*& lattice_Stwin(m,n,index_myFamily+i,myStructure) 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 function constitutive_titanmod_dotState(Tstar_v,Temperature,state,g,ip,el) !********************************************************************* !* rate of change of microstructure * !* INPUT: * !* - Temperature : temperature * !* - state : microstructure quantities * !* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - ipc : component-ID at current integration point * !* - ip : current integration point * !* - el : current element * !* OUTPUT: * !* - constitutive_dotState : evolution of state variable * !********************************************************************* use prec, only: pReal,pInt,p_vec use mesh, only: mesh_NcpElems,mesh_maxNips use material, only: homogenization_maxNgrains,material_phase, phase_plasticityInstance use lattice, only: lattice_maxNslipFamily,lattice_maxNtwinFamily, & lattice_NslipSystem,lattice_NtwinSystem, lattice_Stwin_v implicit none !* Input-Output variables integer(pInt), intent(in) :: g,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(in) :: state real(pReal), dimension(constitutive_titanmod_sizeDotState(phase_plasticityInstance(material_phase(g,ip,el)))) :: & constitutive_titanmod_dotState !* Local variables integer(pInt) MyInstance,MyStructure,ns,nt,f,i,j,index_myFamily real(pReal) sumf,BoltzmannRatio,& twinStressRatio_p,twinminusStressRatio_p real(pReal), dimension(constitutive_titanmod_totalNslip(phase_plasticityInstance(material_phase(g,ip,el)))) :: & DotRhoEdgeGeneration,DotRhoEdgeAnnihilation,DotRhoScrewAnnihilation,& DotRhoScrewGeneration real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_plasticityInstance(material_phase(g,ip,el)))) :: gdot_twin, & tau_twin, & volumefraction_pertwinsystem !* Shortened notation myInstance = phase_plasticityInstance(material_phase(g,ip,el)) MyStructure = constitutive_titanmod_structure(myInstance) ns = constitutive_titanmod_totalNslip(myInstance) nt = constitutive_titanmod_totalNtwin(myInstance) do i=1_pInt,nt volumefraction_pertwinsystem(i)=state(g,ip,el)%p(3_pInt*ns+i)/ & constitutive_titanmod_twinshearconstant_PerTwinSystem(i,myInstance) enddo sumf = sum(abs(volumefraction_pertwinsystem(1_pInt:nt))) ! safe for nt == 0 constitutive_titanmod_dotState = 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,myStructure)) ! at which index starts my family do i = 1_pInt,constitutive_titanmod_Nslip(f,myInstance) ! process each (active) slip system in family j = j+1_pInt !* Multiplication of edge dislocations DotRhoEdgeGeneration(j) = (state(g,ip,el)%p(ns+j)*state(g,ip,el)%p(8*ns+2*nt+j)/state(g,ip,el)%p(4*ns+nt+j)) !* Multiplication of screw dislocations DotRhoScrewGeneration(j) = (state(g,ip,el)%p(j)*state(g,ip,el)%p(7*ns+2*nt+j)/state(g,ip,el)%p(3*ns+nt+j)) !* Annihilation of edge dislocations DotRhoEdgeAnnihilation(j) = -((state(g,ip,el)%p(j))**2)* & constitutive_titanmod_capre_PerSlipSystem(j,myInstance)*state(g,ip,el)%p(7*ns+2*nt+j)/2.0_pReal !* Annihilation of screw dislocations DotRhoScrewAnnihilation(j) = -((state(g,ip,el)%p(ns+j))**2)* & constitutive_titanmod_caprs_PerSlipSystem(j,myInstance)*state(g,ip,el)%p(8*ns+2*nt+j)/2.0_pReal !* Edge dislocation density rate of change constitutive_titanmod_dotState(j) = & DotRhoEdgeGeneration(j)+DotRhoEdgeAnnihilation(j) !* Screw dislocation density rate of change constitutive_titanmod_dotState(ns+j) = & DotRhoScrewGeneration(j)+DotRhoScrewAnnihilation(j) constitutive_titanmod_dotState(2*ns+j) = & state(g,ip,el)%p(10*ns+2*nt+j)+state(g,ip,el)%p(11*ns+2*nt+j) ! sum of shear due to edge and screw enddo enddo !* Twin 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,MyStructure)) ! at which index starts my family do i = 1_pInt,constitutive_titanmod_Ntwin(f,myInstance) ! process each (active) twin system in family j = j+1_pInt !************************************************************************* !This was in dislotwin - keeping it for safety !************************************************************************* ! !* Resolved shear stress on twin system ! tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,myStructure)) ! !* Stress ratios ! StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_titanmod_r(myInstance) ! ! !* Shear rates and their derivatives due to twin ! if ( tau_twin(j) > 0.0_pReal ) then ! constitutive_titanmod_dotState(2*ns+j) = & ! (constitutive_titanmod_MaxTwinFraction(myInstance)-sumf)*& ! state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_titanmod_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r) ! endif !************************************************************************* !* Resolved shear stress on twin system tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,myStructure)) !* Stress ratio for edge twinStressRatio_p = ((abs(tau_twin(j)))/ & ( constitutive_titanmod_twintau0_PerTwinSystem(j,myInstance)+state(g,ip,el)%p(7*ns+nt+j)) & )**(constitutive_titanmod_twinp_PerTwinSystem(j,myInstance)) if((1.0_pReal-twinStressRatio_p)>0.001_pReal) then twinminusStressRatio_p=1.0_pReal-twinStressRatio_p else twinminusStressRatio_p=0.001_pReal endif !* Boltzmann ratio BoltzmannRatio = constitutive_titanmod_twinf0_PerTwinSystem(j,myInstance)/(kB*Temperature) gdot_twin(j) =constitutive_titanmod_twingamma0_PerTwinSystem(j,myInstance)*exp(-BoltzmannRatio* & (twinminusStressRatio_p)** & constitutive_titanmod_twinq_PerTwinSystem(j,myInstance))*sign(1.0_pReal,tau_twin(j)) constitutive_titanmod_dotState(3*ns+j)=gdot_twin(j) enddo enddo !write(6,*) '#DOTSTATE#' !write(6,*) !write(6,'(a,/,4(3(f30.20,1x)/))') 'EdgeGeneration',DotRhoEdgeGeneration !write(6,'(a,/,4(3(f30.20,1x)/))') 'ScrewGeneration',DotRhoScrewGeneration !write(6,'(a,/,4(3(f30.20,1x)/))') 'EdgeAnnihilation',DotRhoEdgeAnnihilation !write(6,'(a,/,4(3(f30.20,1x)/))') 'ScrewAnnihilation',DotRhoScrewAnnihilation end function !********************************************************************* !* (instantaneous) incremental change of microstructure * !********************************************************************* function constitutive_titanmod_deltaState(Tstar_v, Temperature, state, g,ip,el) use prec, only: pReal, & pInt, & p_vec use mesh, only: mesh_NcpElems, & mesh_maxNips use material, only: homogenization_maxNgrains, & material_phase, & phase_plasticityInstance implicit none !*** input variables integer(pInt), intent(in) :: g, & ! current grain number ip, & ! current integration point el ! current element number real(pReal), intent(in) :: Temperature ! temperature real(pReal), dimension(6), intent(in) :: Tstar_v ! current 2nd Piola-Kirchhoff stress in Mandel notation type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: & state ! current microstructural state !*** output variables real(pReal), dimension(constitutive_titanmod_sizeDotState(phase_plasticityInstance(material_phase(g,ip,el)))) :: & constitutive_titanmod_deltaState ! change of state variables / microstructure !*** local variables constitutive_titanmod_deltaState = 0.0_pReal endfunction pure function constitutive_titanmod_dotTemperature(Tstar_v,Temperature,state,g,ip,el) !********************************************************************* !* rate of change of microstructure * !* INPUT: * !* - Temperature : temperature * !* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - ipc : component-ID at current integration point * !* - ip : current integration point * !* - el : current element * !* OUTPUT: * !* - constitutive_dotTemperature : evolution of Temperature * !********************************************************************* use prec, only: pReal,pInt,p_vec use mesh, only: mesh_NcpElems,mesh_maxNips use material, only: homogenization_maxNgrains implicit none !* Input-Output variables integer(pInt), intent(in) :: g,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(in) :: state real(pReal) constitutive_titanmod_dotTemperature constitutive_titanmod_dotTemperature = 0.0_pReal end function pure function constitutive_titanmod_postResults(Tstar_v,Temperature,dt,state,g,ip,el) !********************************************************************* !* return array of constitutive results * !* INPUT: * !* - Temperature : temperature * !* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - dt : current time increment * !* - ipc : component-ID at current integration point * !* - ip : current integration point * !* - el : current element * !********************************************************************* use prec, only: pReal,pInt,p_vec use mesh, only: mesh_NcpElems,mesh_maxNips use material, only: homogenization_maxNgrains,material_phase,phase_plasticityInstance,phase_Noutput implicit none integer(pInt), intent(in) :: g,ip,el real(pReal), intent(in) :: dt,Temperature real(pReal), dimension(6), intent(in) :: Tstar_v type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state integer(pInt) myInstance,myStructure,ns,nt,o,i,c real(pReal) sumf real(pReal), dimension(constitutive_titanmod_sizePostResults(phase_plasticityInstance(material_phase(g,ip,el)))) :: & constitutive_titanmod_postResults real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_plasticityInstance(material_phase(g,ip,el)))) :: & volumefraction_pertwinsystem !* Shortened notation myInstance = phase_plasticityInstance(material_phase(g,ip,el)) myStructure = constitutive_titanmod_structure(myInstance) ns = constitutive_titanmod_totalNslip(myInstance) nt = constitutive_titanmod_totalNtwin(myInstance) do i=1_pInt,nt volumefraction_pertwinsystem(i)=state(g,ip,el)%p(3_pInt*ns+i)/ & constitutive_titanmod_twinshearconstant_PerTwinSystem(i,myInstance) enddo !sumf = sum(state(g,ip,el)%p((6*ns+7*nt+1):(6*ns+8*nt))) ! safe for nt == 0 sumf = sum(abs(volumefraction_pertwinsystem(1:nt))) ! safe for nt == 0 !* Required output c = 0_pInt constitutive_titanmod_postResults = 0.0_pReal do o = 1_pInt,phase_Noutput(material_phase(g,ip,el)) select case(constitutive_titanmod_output(o,myInstance)) case ('rhoedge') constitutive_titanmod_postResults(c+1_pInt:c+ns) = state(g,ip,el)%p(1_pInt:ns) c = c + ns case ('rhoscrew') constitutive_titanmod_postResults(c+1_pInt:c+ns) = state(g,ip,el)%p(ns+1_pInt:2_pInt*ns) c = c + ns case ('segment_edge') constitutive_titanmod_postResults(c+1_pInt:c+ns) = state(g,ip,el)%p((3_pInt*ns+nt+1_pInt):(4_pInt*ns+nt)) c = c + ns case ('segment_screw') constitutive_titanmod_postResults(c+1_pInt:c+ns) = state(g,ip,el)%p((4_pInt*ns+nt+1_pInt):(5_pInt*ns+nt)) c = c + ns case ('resistance_edge') constitutive_titanmod_postResults(c+1_pInt:c+ns) = state(g,ip,el)%p((5_pInt*ns+nt+1_pInt):(6_pInt*ns+nt)) c = c + ns case ('resistance_screw') constitutive_titanmod_postResults(c+1_pInt:c+ns) = state(g,ip,el)%p((6_pInt*ns+nt+1_pInt):(7_pInt*ns+nt)) c = c + ns case ('velocity_edge') constitutive_titanmod_postResults(c+1_pInt:c+ns) = state(g,ip,el)%p((7*ns+2*nt+1):(8*ns+2*nt)) c = c + ns case ('velocity_screw') constitutive_titanmod_postResults(c+1_pInt:c+ns) = state(g,ip,el)%p((8*ns+2*nt+1):(9*ns+2*nt)) c = c + ns case ('tau_slip') constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state(g,ip,el)%p((9*ns+2*nt+1):(10*ns+2*nt))) c = c + ns case ('gdot_slip_edge') constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state(g,ip,el)%p((10*ns+2*nt+1):(11*ns+2*nt))) c = c + ns case ('gdot_slip_screw') constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state(g,ip,el)%p((11*ns+2*nt+1):(12*ns+2*nt))) c = c + ns case ('gdot_slip') constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state(g,ip,el)%p((10*ns+2*nt+1):(11*ns+2*nt))) + & abs(state(g,ip,el)%p((11*ns+2*nt+1):(12*ns+2*nt))) c = c + ns case ('stressratio_edge_p') constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state(g,ip,el)%p((12*ns+2*nt+1):(13*ns+2*nt))) c = c + ns case ('stressratio_screw_p') constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state(g,ip,el)%p((13*ns+2*nt+1):(14*ns+2*nt))) c = c + ns case ('shear_system') constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state(g,ip,el)%p((2*ns+1):(3*ns))) c = c + ns case ('shear_basal') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(state(g,ip,el)%p((2*ns+1):(2*ns+3)))) c = c + 1_pInt case ('shear_prism') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(state(g,ip,el)%p((2*ns+4):(2*ns+6)))) c = c + 1_pInt case ('shear_pyra') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(state(g,ip,el)%p((2*ns+7):(2*ns+12)))) c = c + 1_pInt case ('shear_pyrca') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(state(g,ip,el)%p((2*ns+13):(2*ns+24)))) c = c + 1_pInt case ('rhoedge_basal') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state(g,ip,el)%p((1):(3))) c = c + 1_pInt case ('rhoedge_prism') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state(g,ip,el)%p((4):(6))) c = c + 1_pInt case ('rhoedge_pyra') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state(g,ip,el)%p((7):(12))) c = c + 1_pInt case ('rhoedge_pyrca') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state(g,ip,el)%p((13):(24))) c = c + 1_pInt case ('rhoscrew_basal') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state(g,ip,el)%p((ns+1):(ns+3))) c = c + 1_pInt case ('rhoscrew_prism') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state(g,ip,el)%p((ns+4):(ns+6))) c = c + 1_pInt case ('rhoscrew_pyra') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state(g,ip,el)%p((ns+7):(ns+12))) c = c + 1_pInt case ('rhoscrew_pyrca') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state(g,ip,el)%p((ns+13):(ns+24))) c = c + 1_pInt case ('shear_total') constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(state(g,ip,el)%p((2*ns+1):(3*ns)))) c = c + 1_pInt case ('twin_fraction') constitutive_titanmod_postResults(c+1_pInt:c+nt) = abs(volumefraction_pertwinsystem(1:nt)) c = c + nt ! 'rhoedge', & ! 'rhoscrew', & ! 'segment_edge', & ! 'segment_screw', & ! 'resistance_edge', & ! 'resistance_screw', & ! 'velocity_edge', & ! 'velocity_screw', & ! 'tau_slip', & ! 'gdot_slip_edge' & ! 'gdot_slip_screw' & ! 'gdot_slip', & ! 'StressRatio_edge_p' & ! 'StressRatio_screw_p' ! 'shear_total', & ! 'shear_basal' & ! 'shear_prism', & ! 'shear_pyra', & ! 'shear_pyrca', & ! 'twin_fraction', & end select enddo end function END MODULE