!-------------------------------------------------------------------------------------------------- !> @author Alankar Alankar, Max-Planck-Institut für Eisenforschung GmbH !> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @brief material subroutine for titanium !-------------------------------------------------------------------------------------------------- module plastic_titanmod use prec, only: & pReal, & pInt implicit none private character(len=18), dimension(3), parameter, private :: & plastic_titanmod_listBasicSlipStates = & ['rho_edge ', 'rho_screw ', 'shear_system'] character(len=18), dimension(1), parameter, private :: & plastic_titanmod_listBasicTwinStates = ['gdot_twin'] character(len=19), dimension(11), parameter, private :: & plastic_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, private :: & plastic_titanmod_listDependentTwinStates = & ['twin_fraction', 'tau_twin '] real(pReal), parameter, private :: & kB = 1.38e-23_pReal !< Boltzmann constant in J/Kelvin integer(pInt), dimension(:), allocatable, public, protected :: & plastic_titanmod_sizePostResults !< cumulative size of post results integer(pInt), dimension(:,:), allocatable, target, public :: & plastic_titanmod_sizePostResult !< size of each post result output character(len=64), dimension(:,:), allocatable, target, public :: & plastic_titanmod_output !< name of each post result output integer(pInt), dimension(:), allocatable, target, public :: & plastic_titanmod_Noutput !< number of outputs per instance of this plasticity !< ID of the lattice structure integer(pInt), dimension(:), allocatable, public, protected :: & plastic_titanmod_totalNslip, & !< total number of active slip systems for each instance plastic_titanmod_totalNtwin !< total number of active twin systems for each instance integer(pInt), dimension(:,:), allocatable, private :: & plastic_titanmod_Nslip, & !< number of active slip systems for each family and instance plastic_titanmod_Ntwin, & !< number of active twin systems for each family and instance plastic_titanmod_slipFamily, & !< lookup table relating active slip system to slip family for each instance plastic_titanmod_twinFamily, & !< lookup table relating active twin system to twin family for each instance plastic_titanmod_slipSystemLattice, & !< lookup table relating active slip system index to lattice slip system index for each instance plastic_titanmod_twinSystemLattice !< lookup table relating active twin system index to lattice twin system index for each instance real(pReal), dimension(:), allocatable, private :: & plastic_titanmod_debyefrequency, & !< Debye frequency plastic_titanmod_kinkf0, & !< plastic_titanmod_CAtomicVolume, & !< atomic volume in Bugers vector unit plastic_titanmod_dc, & !< prefactor for self-diffusion coefficient plastic_titanmod_twinhpconstant, & !< activation energy for dislocation climb plastic_titanmod_GrainSize, & !< grain size - Not being used plastic_titanmod_MaxTwinFraction, & !< maximum allowed total twin volume fraction plastic_titanmod_r, & !< r-exponent in twin nucleation rate plastic_titanmod_CEdgeDipMinDistance, & !< Not being used plastic_titanmod_Cmfptwin, & !< Not being used plastic_titanmod_Cthresholdtwin, & !< Not being used plastic_titanmod_aTolRho !< absolute tolerance for integration of dislocation density real(pReal), dimension(:,:), allocatable, private :: & plastic_titanmod_rho_edge0, & !< initial edge dislocation density per slip system for each family and instance plastic_titanmod_rho_screw0, & !< initial screw dislocation density per slip system for each family and instance plastic_titanmod_shear_system0, & !< accumulated shear on each system plastic_titanmod_burgersPerSlipFam, & !< absolute length of burgers vector [m] for each slip family and instance plastic_titanmod_burgersPerSlipSys, & !< absolute length of burgers vector [m] for each slip system and instance plastic_titanmod_burgersPerTwinFam, & !< absolute length of burgers vector [m] for each twin family and instance plastic_titanmod_burgersPerTwinSys, & !< absolute length of burgers vector [m] for each twin system and instance plastic_titanmod_f0_PerSlipFam, & !< activation energy for glide [J] for each slip family and instance plastic_titanmod_f0_PerSlipSys, & !< activation energy for glide [J] for each slip system and instance plastic_titanmod_twinf0_PerTwinFam, & !< activation energy for glide [J] for each twin family and instance plastic_titanmod_twinf0_PerTwinSys, & !< activation energy for glide [J] for each twin system and instance plastic_titanmod_twinshearconstant_PerTwinFam, & !< activation energy for glide [J] for each twin family and instance plastic_titanmod_twinshearconstant_PerTwinSys, & !< activation energy for glide [J] for each twin system and instance plastic_titanmod_tau0e_PerSlipFam, & !< Initial yield stress for edge dislocations per slip family plastic_titanmod_tau0e_PerSlipSys, & !< Initial yield stress for edge dislocations per slip system plastic_titanmod_tau0s_PerSlipFam, & !< Initial yield stress for screw dislocations per slip family plastic_titanmod_tau0s_PerSlipSys, & !< Initial yield stress for screw dislocations per slip system plastic_titanmod_twintau0_PerTwinFam, & !< Initial yield stress for edge dislocations per twin family plastic_titanmod_twintau0_PerTwinSys, & !< Initial yield stress for edge dislocations per twin system plastic_titanmod_capre_PerSlipFam, & !< Capture radii for edge dislocations per slip family plastic_titanmod_capre_PerSlipSys, & !< Capture radii for edge dislocations per slip system plastic_titanmod_caprs_PerSlipFam, & !< Capture radii for screw dislocations per slip family plastic_titanmod_caprs_PerSlipSys, & !< Capture radii for screw dislocations per slip system plastic_titanmod_pe_PerSlipFam, & !< p-exponent in glide velocity plastic_titanmod_ps_PerSlipFam, & !< p-exponent in glide velocity plastic_titanmod_qe_PerSlipFam, & !< q-exponent in glide velocity plastic_titanmod_qs_PerSlipFam, & !< q-exponent in glide velocity plastic_titanmod_pe_PerSlipSys, & !< p-exponent in glide velocity plastic_titanmod_ps_PerSlipSys, & !< p-exponent in glide velocity plastic_titanmod_qe_PerSlipSys, & !< q-exponent in glide velocity plastic_titanmod_qs_PerSlipSys, & !< q-exponent in glide velocity plastic_titanmod_twinp_PerTwinFam, & !< p-exponent in glide velocity plastic_titanmod_twinq_PerTwinFam, & !< q-exponent in glide velocity plastic_titanmod_twinp_PerTwinSys, & !< p-exponent in glide velocity plastic_titanmod_twinq_PerTwinSys, & !< p-exponent in glide velocity plastic_titanmod_v0e_PerSlipFam, & !< edge dislocation velocity prefactor [m/s] for each family and instance plastic_titanmod_v0e_PerSlipSys, & !< screw dislocation velocity prefactor [m/s] for each slip system and instance plastic_titanmod_v0s_PerSlipFam, & !< edge dislocation velocity prefactor [m/s] for each family and instance plastic_titanmod_v0s_PerSlipSys, & !< screw dislocation velocity prefactor [m/s] for each slip system and instance plastic_titanmod_twingamma0_PerTwinFam, & !< edge dislocation velocity prefactor [m/s] for each family and instance plastic_titanmod_twingamma0_PerTwinSys, & !< screw dislocation velocity prefactor [m/s] for each slip system and instance plastic_titanmod_kinkcriticallength_PerSlipFam, & !< screw dislocation mobility prefactor for kink-pairs per slip family plastic_titanmod_kinkcriticallength_PerSlipSys, & !< screw dislocation mobility prefactor for kink-pairs per slip system plastic_titanmod_twinsizePerTwinFam, & !< twin thickness [m] for each twin family and instance plastic_titanmod_twinsizePerTwinSys, & !< twin thickness [m] for each twin system and instance plastic_titanmod_CeLambdaSlipPerSlipFam, & !< Adj. parameter for distance between 2 forest dislocations for each slip family and instance plastic_titanmod_CeLambdaSlipPerSlipSys, & !< Adj. parameter for distance between 2 forest dislocations for each slip system and instance plastic_titanmod_CsLambdaSlipPerSlipFam, & !< Adj. parameter for distance between 2 forest dislocations for each slip family and instance plastic_titanmod_CsLambdaSlipPerSlipSys, & !< Adj. parameter for distance between 2 forest dislocations for each slip system and instance plastic_titanmod_twinLambdaSlipPerTwinFam, & !< Adj. parameter for distance between 2 forest dislocations for each slip family and instance plastic_titanmod_twinLambdaSlipPerTwinSys, & !< Adj. parameter for distance between 2 forest dislocations for each slip system and instance plastic_titanmod_interactionSlipSlip, & !< coefficients for slip-slip interaction for each interaction type and instance plastic_titanmod_interaction_ee, & !< coefficients for e-e interaction for each interaction type and instance plastic_titanmod_interaction_ss, & !< coefficients for s-s interaction for each interaction type and instance plastic_titanmod_interaction_es, & !< coefficients for e-s-twin interaction for each interaction type and instance plastic_titanmod_interactionSlipTwin, & !< coefficients for twin-slip interaction for each interaction type and instance plastic_titanmod_interactionTwinSlip, & !< coefficients for twin-slip interaction for each interaction type and instance plastic_titanmod_interactionTwinTwin !< coefficients for twin-twin interaction for each interaction type and instance real(pReal), dimension(:,:,:), allocatable, private :: & plastic_titanmod_interactionMatrixSlipSlip, & !< interaction matrix of the different slip systems for each instance plastic_titanmod_interactionMatrix_ee, & !< interaction matrix of e-e for each instance plastic_titanmod_interactionMatrix_ss, & !< interaction matrix of s-s for each instance plastic_titanmod_interactionMatrix_es, & !< interaction matrix of e-s for each instance plastic_titanmod_interactionMatrixSlipTwin, & !< interaction matrix of slip systems with twin systems for each instance plastic_titanmod_interactionMatrixTwinSlip, & !< interaction matrix of twin systems with slip systems for each instance plastic_titanmod_interactionMatrixTwinTwin, & !< interaction matrix of the different twin systems for each instance plastic_titanmod_forestProjectionEdge, & !< matrix of forest projections of edge dislocations for each instance plastic_titanmod_forestProjectionScrew, & !< matrix of forest projections of screw dislocations for each instance plastic_titanmod_TwinforestProjectionEdge, & !< matrix of forest projections of edge dislocations in twin system for each instance plastic_titanmod_TwinforestProjectionScrew !< matrix of forest projections of screw dislocations in twin system for each instance real(pReal), dimension(:,:,:,:), allocatable, private :: & plastic_titanmod_Ctwin66 !< twin elasticity matrix in Mandel notation for each instance real(pReal), dimension(:,:,:,:,:,:), allocatable, private :: & plastic_titanmod_Ctwin3333 !< twin elasticity matrix for each instance enum, bind(c) enumerator :: undefined_ID, & rhoedge_ID, rhoscrew_ID, & segment_edge_ID, segment_screw_ID, & resistance_edge_ID, resistance_screw_ID, & velocity_edge_ID, velocity_screw_ID, & tau_slip_ID, & gdot_slip_edge_ID, gdot_slip_screw_ID, & gdot_slip_ID, & stressratio_edge_p_ID, stressratio_screw_p_ID, & shear_system_ID, & twin_fraction_ID, & shear_basal_ID, shear_prism_ID, shear_pyra_ID, shear_pyrca_ID, & rhoedge_basal_ID, rhoedge_prism_ID, rhoedge_pyra_ID, rhoedge_pyrca_ID, & rhoscrew_basal_ID, rhoscrew_prism_ID, rhoscrew_pyra_ID, rhoscrew_pyrca_ID, & shear_total_ID end enum integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: & plastic_titanmod_outputID !< ID of each post result output public :: & plastic_titanmod_microstructure, & plastic_titanmod_stateInit, & plastic_titanmod_init, & plastic_titanmod_LpAndItsTangent, & plastic_titanmod_dotState, & plastic_titanmod_postResults, & plastic_titanmod_homogenizedC contains !-------------------------------------------------------------------------------------------------- !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- subroutine plastic_titanmod_init(fileUnit) use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment) use debug, only: & debug_level,& debug_constitutive,& debug_levelBasic use math, only: & math_Mandel3333to66,& math_Voigt66to3333,& math_mul3x3 use IO, only: & IO_read, & IO_lc, & IO_getTag, & IO_isBlank, & IO_stringPos, & IO_stringValue, & IO_floatValue, & IO_intValue, & IO_warning, & IO_error, & IO_timeStamp, & IO_EOF use material, only: & phase_plasticity, & phase_plasticityInstance, & phase_Noutput, & PLASTICITY_TITANMOD_label, & PLASTICITY_TITANMOD_ID, & plasticState, & MATERIAL_partPhase use lattice use numerics,only: & analyticJaco, & worldrank, & numerics_integrator implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos integer(pInt) :: & phase, & instance, j, k, l, m, n, p, q, r, & f, o, & s, s1, s2, & t, t1, t2, & ns, nt, & Nchunks_SlipSlip = 0_pInt, Nchunks_SlipTwin = 0_pInt, Nchunks_TwinSlip = 0_pInt, Nchunks_TwinTwin = 0_pInt, & Nchunks_SlipFamilies = 0_pInt, Nchunks_TwinFamilies = 0_pInt, & offset_slip, mySize, & maxTotalNslip,maxTotalNtwin, maxNinstance integer(pInt) :: sizeState, sizeDotState, sizeDeltaState integer(pInt) :: NofMyPhase = 0_pInt character(len=65536) :: & tag = '', & line = '' mainProcess: if (worldrank == 0) then write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_TITANMOD_label//' init -+>>>' write(6,'(a15,a)') ' Current time: ',IO_timeStamp() #include "compilation_info.f90" endif mainProcess maxNinstance = int(count(phase_plasticity == PLASTICITY_TITANMOD_ID),pInt) if (maxNinstance == 0_pInt) return if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) & write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance allocate(plastic_titanmod_sizePostResults(maxNinstance), source=0_pInt) allocate(plastic_titanmod_sizePostResult(maxval(phase_Noutput),maxNinstance), source=0_pInt) allocate(plastic_titanmod_output(maxval(phase_Noutput),maxNinstance)) plastic_titanmod_output = '' allocate(plastic_titanmod_outputID(maxval(phase_Noutput),maxNinstance), source=undefined_ID) allocate(plastic_titanmod_Noutput(maxNinstance), source=0_pInt) allocate(plastic_titanmod_Nslip(lattice_maxNslipFamily,maxNinstance), source=0_pInt) allocate(plastic_titanmod_Ntwin(lattice_maxNtwinFamily,maxNinstance), source=0_pInt) allocate(plastic_titanmod_slipFamily(lattice_maxNslip,maxNinstance), source=0_pInt) allocate(plastic_titanmod_twinFamily(lattice_maxNtwin,maxNinstance), source=0_pInt) allocate(plastic_titanmod_slipSystemLattice(lattice_maxNslip,maxNinstance), source=0_pInt) allocate(plastic_titanmod_twinSystemLattice(lattice_maxNtwin,maxNinstance), source=0_pInt) allocate(plastic_titanmod_totalNslip(maxNinstance), source=0_pInt) allocate(plastic_titanmod_totalNtwin(maxNinstance), source=0_pInt) allocate(plastic_titanmod_debyefrequency(maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_kinkf0(maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_CAtomicVolume(maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_dc(maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinhpconstant(maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_GrainSize(maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_MaxTwinFraction(maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_r(maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_CEdgeDipMinDistance(maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_Cmfptwin(maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_Cthresholdtwin(maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_aTolRho(maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_rho_edge0(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_rho_screw0(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_shear_system0(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_burgersPerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_burgersPerTwinFam(lattice_maxNtwinFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_f0_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_tau0e_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_tau0s_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_capre_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_caprs_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_pe_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_ps_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_qe_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_qs_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_v0e_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_v0s_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_kinkcriticallength_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinsizePerTwinFam(lattice_maxNtwinFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_CeLambdaSlipPerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_CsLambdaSlipPerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinf0_PerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinshearconstant_PerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twintau0_PerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinp_PerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinq_PerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twingamma0_PerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinLambdaSlipPerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interactionSlipSlip(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interaction_ee(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interaction_ss(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interaction_es(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interactionSlipTwin(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interactionTwinSlip(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interactionTwinTwin(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) rewind(fileUnit) phase = 0_pInt do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= material_partPhase) ! wind forward to line = IO_read(fileUnit) enddo parsingFile: do while (trim(line) /= IO_EOF) ! read through sections of phase part line = IO_read(fileUnit) if (IO_isBlank(line)) cycle ! skip empty lines if (IO_getTag(line,'<','>') /= '') then ! stop at next part line = IO_read(fileUnit, .true.) ! reset IO_read exit endif if (IO_getTag(line,'[',']') /= '') then ! next section phase = phase + 1_pInt ! advance section counter if (phase_plasticity(phase) == PLASTICITY_TITANMOD_ID) then Nchunks_SlipFamilies = count(lattice_NslipSystem(:,phase) > 0_pInt) Nchunks_TwinFamilies = count(lattice_NtwinSystem(:,phase) > 0_pInt) Nchunks_SlipSlip = maxval(lattice_interactionSlipSlip(:,:,phase)) Nchunks_SlipTwin = maxval(lattice_interactionSlipTwin(:,:,phase)) Nchunks_TwinSlip = maxval(lattice_interactionTwinSlip(:,:,phase)) Nchunks_TwinTwin = maxval(lattice_interactionTwinTwin(:,:,phase)) endif cycle ! skip to next line endif if (phase > 0_pInt ) then; if (phase_plasticity(phase) == PLASTICITY_TITANMOD_ID) then ! one of my sections. Do not short-circuit here (.and. between if-statements), it's not safe in Fortran instance = phase_plasticityInstance(phase) ! which instance of my plasticity is present phase chunkPos = IO_stringPos(line) tag = IO_lc(IO_stringValue(line,chunkPos,1_pInt)) ! extract key select case(tag) case ('(output)') select case(IO_lc(IO_stringValue(line,chunkPos,2_pInt))) case ('rhoedge') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = rhoedge_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('rhoscrew') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = rhoscrew_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('segment_edge') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = segment_edge_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('segment_screw') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = segment_screw_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('resistance_edge') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = resistance_edge_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('resistance_screw') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = resistance_screw_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('velocity_edge') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = velocity_edge_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('velocity_screw') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = velocity_screw_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('tau_slip') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = tau_slip_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('gdot_slip_edge') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = gdot_slip_edge_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('gdot_slip_screw') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = gdot_slip_screw_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('gdot_slip') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = gdot_slip_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('stressratio_edge_p') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = stressratio_edge_p_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('stressratio_screw_p') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = stressratio_screw_p_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('shear_system') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = shear_system_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('twin_fraction') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = twin_fraction_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('shear_basal') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = shear_basal_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('shear_prism') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = shear_prism_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('shear_pyra') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = shear_pyra_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('shear_pyrca') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = shear_pyrca_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('rhoedge_basal') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = rhoedge_basal_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('rhoedge_prism') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = rhoedge_prism_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('rhoedge_pyra') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = rhoedge_pyra_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('rhoedge_pyrca') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = rhoedge_pyrca_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('rhoscrew_basal') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = rhoscrew_basal_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('rhoscrew_prism') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = rhoscrew_prism_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('rhoscrew_pyra') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = rhoscrew_pyra_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('rhoscrew_pyrca') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = rhoscrew_pyrca_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) case ('shear_total') plastic_titanmod_Noutput(instance) = plastic_titanmod_Noutput(instance) + 1_pInt plastic_titanmod_outputID(plastic_titanmod_Noutput(instance),instance) = shear_total_ID plastic_titanmod_output(plastic_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,chunkPos,2_pInt)) end select case ('debyefrequency') plastic_titanmod_debyefrequency(instance) = IO_floatValue(line,chunkPos,2_pInt) case ('kinkf0') plastic_titanmod_kinkf0(instance) = IO_floatValue(line,chunkPos,2_pInt) case ('nslip') if (chunkPos(1) < 1_pInt + Nchunks_SlipFamilies) & call IO_warning(50_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_Nslip(j,instance) = IO_intValue(line,chunkPos,1_pInt+j) enddo case ('ntwin') if (chunkPos(1) < 1_pInt + Nchunks_TwinFamilies) & call IO_warning(51_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') do j = 1_pInt, Nchunks_TwinFamilies plastic_titanmod_Ntwin(j,instance) = IO_intValue(line,chunkPos,1_pInt+j) enddo case ('rho_edge0') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_rho_edge0(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('rho_screw0') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_rho_screw0(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('slipburgers') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_burgersPerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('twinburgers') do j = 1_pInt, Nchunks_TwinFamilies plastic_titanmod_burgersPerTwinFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('f0') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_f0_PerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('twinf0') do j = 1_pInt, Nchunks_TwinFamilies plastic_titanmod_twinf0_PerTwinFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('tau0e') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_tau0e_PerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('twintau0') do j = 1_pInt, Nchunks_TwinFamilies plastic_titanmod_twintau0_PerTwinFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('tau0s') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_tau0s_PerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('capre') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_capre_PerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('caprs') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_caprs_PerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('v0e') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_v0e_PerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('twingamma0') do j = 1_pInt, Nchunks_TwinFamilies plastic_titanmod_twingamma0_PerTwinFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('v0s') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_v0s_PerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('kinkcriticallength') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_kinkcriticallength_PerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('twinsize') do j = 1_pInt, Nchunks_TwinFamilies plastic_titanmod_twinsizePerTwinFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('celambdaslip') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_CeLambdaSlipPerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('twinlambdaslip') do j = 1_pInt, Nchunks_TwinFamilies plastic_titanmod_twinlambdaslipPerTwinFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('cslambdaslip') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_CsLambdaSlipPerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('grainsize') plastic_titanmod_GrainSize(instance) = IO_floatValue(line,chunkPos,2_pInt) case ('maxtwinfraction') plastic_titanmod_MaxTwinFraction(instance) = IO_floatValue(line,chunkPos,2_pInt) case ('pe') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_pe_PerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('twinp') do j = 1_pInt, Nchunks_TwinFamilies plastic_titanmod_twinp_PerTwinFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('ps') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_ps_PerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('qe') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_qe_PerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('twinq') do j = 1_pInt, Nchunks_TwinFamilies plastic_titanmod_twinq_PerTwinFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('qs') do j = 1_pInt, Nchunks_SlipFamilies plastic_titanmod_qs_PerSlipFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('twinshearconstant') do j = 1_pInt, Nchunks_TwinFamilies plastic_titanmod_twinshearconstant_PerTwinFam(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('dc') plastic_titanmod_dc(instance) = IO_floatValue(line,chunkPos,2_pInt) case ('twinhpconstant') plastic_titanmod_twinhpconstant(instance) = IO_floatValue(line,chunkPos,2_pInt) case ('atol_rho') plastic_titanmod_aTolRho(instance) = IO_floatValue(line,chunkPos,2_pInt) case ('interactionee') do j = 1_pInt, lattice_maxNinteraction plastic_titanmod_interaction_ee(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('interactionss') do j = 1_pInt, lattice_maxNinteraction plastic_titanmod_interaction_ss(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('interactiones') do j = 1_pInt, lattice_maxNinteraction plastic_titanmod_interaction_es(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('interaction_slipslip','interactionslipslip') if (chunkPos(1) < 1_pInt + Nchunks_SlipSlip) & call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') do j = 1_pInt, Nchunks_SlipSlip plastic_titanmod_interactionSlipSlip(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('interaction_sliptwin','interactionsliptwin') if (chunkPos(1) < 1_pInt + Nchunks_SlipTwin) & call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') do j = 1_pInt, Nchunks_SlipTwin plastic_titanmod_interactionSlipTwin(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('interaction_twinslip','interactiontwinslip') if (chunkPos(1) < 1_pInt + Nchunks_TwinSlip) & call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') do j = 1_pInt, Nchunks_TwinSlip plastic_titanmod_interactionTwinSlip(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('interaction_twintwin','interactiontwintwin') if (chunkPos(1) < 1_pInt + Nchunks_TwinTwin) & call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') do j = 1_pInt, Nchunks_TwinTwin plastic_titanmod_interactionTwinTwin(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo end select endif; endif enddo parsingFile sanityChecks: do phase = 1_pInt, size(phase_plasticity) myPhase: if (phase_plasticity(phase) == PLASTICITY_TITANMOD_ID) then instance = phase_plasticityInstance(phase) if (sum(plastic_titanmod_Nslip(:,instance)) < 0_pInt) & call IO_error(211_pInt,el=instance,ext_msg='nslip ('//PLASTICITY_TITANMOD_label//')') if (sum(plastic_titanmod_Ntwin(:,instance)) < 0_pInt) & call IO_error(211_pInt,el=instance,ext_msg='ntwin ('//PLASTICITY_TITANMOD_label//')') do f = 1_pInt,lattice_maxNslipFamily if (plastic_titanmod_Nslip(f,instance) > 0_pInt) then if (plastic_titanmod_rho_edge0(f,instance) < 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='rho_edge0 ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_rho_screw0(f,instance) < 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='rho_screw0 ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_burgersPerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='slipburgers ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_f0_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='f0 ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_tau0e_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='tau0e ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_tau0s_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='tau0s ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_capre_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='capre ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_caprs_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='caprs ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_v0e_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='v0e ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_v0s_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='v0s ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_kinkcriticallength_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='kinkCriticalLength ('//PLASTICITY_TITANMOD_label//')') endif enddo do f = 1_pInt,lattice_maxNtwinFamily if (plastic_titanmod_Ntwin(f,instance) > 0_pInt) then if (plastic_titanmod_burgersPerTwinFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='twinburgers ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_twinf0_PerTwinFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='twinf0 ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_twinshearconstant_PerTwinFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='twinshearconstant ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_twintau0_PerTwinFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='twintau0 ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_twingamma0_PerTwinFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='twingamma0 ('//PLASTICITY_TITANMOD_label//')') endif enddo if (plastic_titanmod_dc(instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='dc ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_twinhpconstant(instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='twinhpconstant ('//PLASTICITY_TITANMOD_label//')') if (plastic_titanmod_aTolRho(instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='aTol_rho ('//PLASTICITY_TITANMOD_label//')') !-------------------------------------------------------------------------------------------------- ! determine total number of active slip or twin systems plastic_titanmod_Nslip(:,instance) = min(lattice_NslipSystem(:,phase),plastic_titanmod_Nslip(:,instance)) plastic_titanmod_Ntwin(:,instance) = min(lattice_NtwinSystem(:,phase),plastic_titanmod_Ntwin(:,instance)) plastic_titanmod_totalNslip(instance) = sum(plastic_titanmod_Nslip(:,instance)) plastic_titanmod_totalNtwin(instance) = sum(plastic_titanmod_Ntwin(:,instance)) endif myPhase enddo sanityChecks !-------------------------------------------------------------------------------------------------- ! allocation of variables whose size depends on the total number of active slip systems maxTotalNslip = maxval(plastic_titanmod_totalNslip) maxTotalNtwin = maxval(plastic_titanmod_totalNtwin) allocate(plastic_titanmod_burgersPerSlipSys(maxTotalNslip, maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_f0_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_tau0e_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_tau0s_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_capre_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_caprs_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_pe_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_ps_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_qe_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_qs_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_v0e_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_v0s_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_kinkcriticallength_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_CeLambdaSlipPerSlipSys(maxTotalNslip, maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_CsLambdaSlipPerSlipSys(maxTotalNslip, maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_burgersPerTwinSys(maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinf0_PerTwinSys(maxTotalNTwin,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinshearconstant_PerTwinSys(maxTotalNTwin,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twintau0_PerTwinSys(maxTotalNTwin,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinp_PerTwinSys(maxTotalNTwin,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinq_PerTwinSys(maxTotalNTwin,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twingamma0_PerTwinSys(maxTotalNTwin,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinsizePerTwinSys(maxTotalNtwin, maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_twinLambdaSlipPerTwinSys(maxTotalNtwin, maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_Ctwin66 (6,6,maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_Ctwin3333 (3,3,3,3,maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interactionMatrixSlipSlip(maxTotalNslip,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interactionMatrix_ee(maxTotalNslip,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interactionMatrix_ss(maxTotalNslip,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interactionMatrix_es(maxTotalNslip,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interactionMatrixSlipTwin(maxTotalNslip,maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interactionMatrixTwinSlip(maxTotalNtwin,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_interactionMatrixTwinTwin(maxTotalNtwin,maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_forestProjectionEdge(maxTotalNslip,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_forestProjectionScrew(maxTotalNslip,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_TwinforestProjectionEdge(maxTotalNtwin,maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(plastic_titanmod_TwinforestProjectionScrew(maxTotalNtwin,maxTotalNtwin,maxNinstance), source=0.0_pReal) initializeInstances: do phase = 1_pInt, size(phase_plasticity) if (phase_plasticity(phase) == PLASTICITY_TITANMOD_ID) then instance = phase_plasticityInstance(phase) !-------------------------------------------------------------------------------------------------- ! inverse lookup of slip system family l = 0_pInt do f = 1_pInt,lattice_maxNslipFamily do s = 1_pInt,plastic_titanmod_Nslip(f,instance) l = l + 1_pInt plastic_titanmod_slipFamily(l,instance) = f plastic_titanmod_slipSystemLattice(l,instance) = sum(lattice_NslipSystem(1:f-1_pInt,phase)) + s enddo; enddo !-------------------------------------------------------------------------------------------------- ! inverse lookup of twin system family l = 0_pInt do f = 1_pInt,lattice_maxNtwinFamily do t = 1_pInt,plastic_titanmod_Ntwin(f,instance) l = l + 1_pInt plastic_titanmod_twinFamily(l,instance) = f plastic_titanmod_twinSystemLattice(l,instance) = sum(lattice_NtwinSystem(1:f-1_pInt,phase)) + t enddo; enddo !-------------------------------------------------------------------------------------------------- ! determine size of state array ns = plastic_titanmod_totalNslip(instance) nt = plastic_titanmod_totalNtwin(instance) sizeDotState = & size(plastic_titanmod_listBasicSlipStates)*ns + & size(plastic_titanmod_listBasicTwinStates)*nt sizeState = sizeDotState+ & size(plastic_titanmod_listDependentSlipStates)*ns + & size(plastic_titanmod_listDependentTwinStates)*nt sizeDeltaState = 0_pInt !-------------------------------------------------------------------------------------------------- ! determine size of postResults array outputsLoop: do o = 1_pInt,plastic_titanmod_Noutput(instance) mySize = 0_pInt select case(plastic_titanmod_outputID(o,instance)) case(rhoedge_ID, rhoscrew_ID, & segment_edge_ID, segment_screw_ID, & resistance_edge_ID, resistance_screw_ID, & velocity_edge_ID, velocity_screw_ID, & tau_slip_ID, & gdot_slip_edge_ID, gdot_slip_screw_ID, & gdot_slip_ID, & stressratio_edge_p_ID, stressratio_screw_p_ID, & shear_system_ID) mySize = plastic_titanmod_totalNslip(instance) case(twin_fraction_ID) mySize = plastic_titanmod_totalNtwin(instance) case(shear_basal_ID, shear_prism_ID, shear_pyra_ID, shear_pyrca_ID, & ! use only if all 4 slip families in hex are considered rhoedge_basal_ID, rhoedge_prism_ID, rhoedge_pyra_ID, rhoedge_pyrca_ID, & rhoscrew_basal_ID, rhoscrew_prism_ID, rhoscrew_pyra_ID, rhoscrew_pyrca_ID, & shear_total_ID) mySize = 1_pInt case default call IO_error(105_pInt,ext_msg=plastic_titanmod_output(o,instance)// & ' ('//PLASTICITY_TITANMOD_label//')') end select outputFound: if (mySize > 0_pInt) then plastic_titanmod_sizePostResult(o,instance) = mySize plastic_titanmod_sizePostResults(instance) = plastic_titanmod_sizePostResults(instance) + mySize endif outputFound enddo outputsLoop ! Determine size of state array plasticState(phase)%sizeState = sizeState plasticState(phase)%sizeDotState = sizeDotState plasticState(phase)%sizeDeltaState = sizeDeltaState plasticState(phase)%sizePostResults = plastic_titanmod_sizePostResults(instance) plasticState(phase)%nSlip =plastic_titanmod_totalNslip(instance) plasticState(phase)%nTwin = 0_pInt plasticState(phase)%nTrans= 0_pInt allocate(plasticState(phase)%aTolState (sizeState), source=plastic_titanmod_aTolRho(instance)) allocate(plasticState(phase)%state0 (sizeState,NofMyPhase), source=0.0_pReal) allocate(plasticState(phase)%partionedState0 (sizeState,NofMyPhase), source=0.0_pReal) allocate(plasticState(phase)%subState0 (sizeState,NofMyPhase), source=0.0_pReal) allocate(plasticState(phase)%state (sizeState,NofMyPhase), source=0.0_pReal) allocate(plasticState(phase)%dotState (sizeDotState,NofMyPhase), source=0.0_pReal) allocate(plasticState(phase)%deltaState (sizeDeltaState,NofMyPhase), source=0.0_pReal) if (.not. analyticJaco) then allocate(plasticState(phase)%state_backup (sizeState,NofMyPhase), source=0.0_pReal) allocate(plasticState(phase)%dotState_backup (sizeDotState,NofMyPhase), source=0.0_pReal) endif if (any(numerics_integrator == 1_pInt)) then allocate(plasticState(phase)%previousDotState (sizeDotState,NofMyPhase), source=0.0_pReal) allocate(plasticState(phase)%previousDotState2 (sizeDotState,NofMyPhase), source=0.0_pReal) endif if (any(numerics_integrator == 4_pInt)) & allocate(plasticState(phase)%RK4dotState (sizeDotState,NofMyPhase), source=0.0_pReal) if (any(numerics_integrator == 5_pInt)) & allocate(plasticState(phase)%RKCK45dotState (6,sizeDotState,NofMyPhase),source=0.0_pReal) offset_slip = 2_pInt*plasticState(phase)%nSlip+1 plasticState(phase)%slipRate => & plasticState(phase)%dotState(offset_slip+1:offset_slip+plasticState(phase)%nSlip,1:NofMyPhase) plasticState(phase)%accumulatedSlip => & plasticState(phase)%state (offset_slip+1:offset_slip+plasticState(phase)%nSlip,1:NofMyPhase) !-------------------------------------------------------------------------------------------------- ! construction of the twin elasticity matrices do j=1_pInt,lattice_maxNtwinFamily do k=1_pInt,plastic_titanmod_Ntwin(j,instance) 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 plastic_titanmod_Ctwin3333(l,m,n,o,sum(plastic_titanmod_Nslip(1:j-1_pInt,instance))+k,instance) = & plastic_titanmod_Ctwin3333(l,m,n,o,sum(plastic_titanmod_Nslip(1:j-1_pInt,instance))+k,instance) + & lattice_C3333(p,q,r,s,phase)*& lattice_Qtwin(l,p,sum(lattice_NslipSystem(1:j-1_pInt,phase))+k,phase)* & lattice_Qtwin(m,q,sum(lattice_NslipSystem(1:j-1_pInt,phase))+k,phase)* & lattice_Qtwin(n,r,sum(lattice_NslipSystem(1:j-1_pInt,phase))+k,phase)* & lattice_Qtwin(o,s,sum(lattice_NslipSystem(1:j-1_pInt,phase))+k,phase) enddo; enddo; enddo; enddo enddo; enddo; enddo ; enddo plastic_titanmod_Ctwin66(1:6,1:6,k,instance) = & math_Mandel3333to66(plastic_titanmod_Ctwin3333(1:3,1:3,1:3,1:3,k,instance)) enddo; enddo !-------------------------------------------------------------------------------------------------- ! Burgers vector, dislocation velocity prefactor for each slip system do s = 1_pInt,plastic_titanmod_totalNslip(instance) f = plastic_titanmod_slipFamily(s,instance) plastic_titanmod_burgersPerSlipSys(s,instance) = & plastic_titanmod_burgersPerSlipFam(f,instance) plastic_titanmod_f0_PerSlipSys(s,instance) = & plastic_titanmod_f0_PerSlipFam(f,instance) plastic_titanmod_tau0e_PerSlipSys(s,instance) = & plastic_titanmod_tau0e_PerSlipFam(f,instance) plastic_titanmod_tau0s_PerSlipSys(s,instance) = & plastic_titanmod_tau0s_PerSlipFam(f,instance) plastic_titanmod_capre_PerSlipSys(s,instance) = & plastic_titanmod_capre_PerSlipFam(f,instance) plastic_titanmod_caprs_PerSlipSys(s,instance) = & plastic_titanmod_caprs_PerSlipFam(f,instance) plastic_titanmod_v0e_PerSlipSys(s,instance) = & plastic_titanmod_v0e_PerSlipFam(f,instance) plastic_titanmod_v0s_PerSlipSys(s,instance) = & plastic_titanmod_v0s_PerSlipFam(f,instance) plastic_titanmod_kinkcriticallength_PerSlipSys(s,instance) = & plastic_titanmod_kinkcriticallength_PerSlipFam(f,instance) plastic_titanmod_pe_PerSlipSys(s,instance) = & plastic_titanmod_pe_PerSlipFam(f,instance) plastic_titanmod_ps_PerSlipSys(s,instance) = & plastic_titanmod_ps_PerSlipFam(f,instance) plastic_titanmod_qe_PerSlipSys(s,instance) = & plastic_titanmod_qe_PerSlipFam(f,instance) plastic_titanmod_qs_PerSlipSys(s,instance) = & plastic_titanmod_qs_PerSlipFam(f,instance) plastic_titanmod_CeLambdaSlipPerSlipSys(s,instance) = & plastic_titanmod_CeLambdaSlipPerSlipFam(f,instance) plastic_titanmod_CsLambdaSlipPerSlipSys(s,instance) = & plastic_titanmod_CsLambdaSlipPerSlipFam(f,instance) enddo !-------------------------------------------------------------------------------------------------- ! Burgers vector, nucleation rate prefactor and twin size for each twin system do t = 1_pInt,plastic_titanmod_totalNtwin(instance) f = plastic_titanmod_twinFamily(t,instance) plastic_titanmod_burgersPerTwinSys(t,instance) = & plastic_titanmod_burgersPerTwinFam(f,instance) plastic_titanmod_twinsizePerTwinSys(t,instance) = & plastic_titanmod_twinsizePerTwinFam(f,instance) plastic_titanmod_twinf0_PerTwinSys(t,instance) = & plastic_titanmod_twinf0_PerTwinFam(f,instance) plastic_titanmod_twinshearconstant_PerTwinSys(t,instance) = & plastic_titanmod_twinshearconstant_PerTwinFam(f,instance) plastic_titanmod_twintau0_PerTwinSys(t,instance) = & plastic_titanmod_twintau0_PerTwinFam(f,instance) plastic_titanmod_twingamma0_PerTwinSys(t,instance) = & plastic_titanmod_twingamma0_PerTwinFam(f,instance) plastic_titanmod_twinp_PerTwinSys(t,instance) = & plastic_titanmod_twinp_PerTwinFam(f,instance) plastic_titanmod_twinq_PerTwinSys(t,instance) = & plastic_titanmod_twinq_PerTwinFam(f,instance) plastic_titanmod_twinLambdaSlipPerTwinSys(t,instance) = & plastic_titanmod_twinLambdaSlipPerTwinFam(f,instance) enddo !-------------------------------------------------------------------------------------------------- ! Construction of interaction matrices do s1 = 1_pInt,plastic_titanmod_totalNslip(instance) do s2 = 1_pInt,plastic_titanmod_totalNslip(instance) plastic_titanmod_interactionMatrixSlipSlip(s1,s2,instance) = & plastic_titanmod_interactionSlipSlip(lattice_interactionSlipSlip( & plastic_titanmod_slipSystemLattice(s1,instance),& plastic_titanmod_slipSystemLattice(s2,instance),phase),instance) plastic_titanmod_interactionMatrix_ee(s1,s2,instance) = & plastic_titanmod_interaction_ee(lattice_interactionSlipSlip ( & plastic_titanmod_slipSystemLattice(s1,instance), & plastic_titanmod_slipSystemLattice(s2,instance), phase),instance) plastic_titanmod_interactionMatrix_ss(s1,s2,instance) = & plastic_titanmod_interaction_ss(lattice_interactionSlipSlip( & plastic_titanmod_slipSystemLattice(s1,instance), & plastic_titanmod_slipSystemLattice(s2,instance), phase),instance) plastic_titanmod_interactionMatrix_es(s1,s2,instance) = & plastic_titanmod_interaction_es(lattice_interactionSlipSlip( & plastic_titanmod_slipSystemLattice(s1,instance), & plastic_titanmod_slipSystemLattice(s2,instance), phase),instance) enddo; enddo do s1 = 1_pInt,plastic_titanmod_totalNslip(instance) do t2 = 1_pInt,plastic_titanmod_totalNtwin(instance) plastic_titanmod_interactionMatrixSlipTwin(s1,t2,instance) = & plastic_titanmod_interactionSlipTwin(lattice_interactionSlipTwin( & plastic_titanmod_slipSystemLattice(s1,instance), & plastic_titanmod_twinSystemLattice(t2,instance), phase),instance) enddo; enddo do t1 = 1_pInt,plastic_titanmod_totalNtwin(instance) do s2 = 1_pInt,plastic_titanmod_totalNslip(instance) plastic_titanmod_interactionMatrixTwinSlip(t1,s2,instance) = & plastic_titanmod_interactionTwinSlip(lattice_interactionTwinSlip( & plastic_titanmod_twinSystemLattice(t1,instance), & plastic_titanmod_slipSystemLattice(s2,instance), phase),instance) enddo; enddo do t1 = 1_pInt,plastic_titanmod_totalNtwin(instance) do t2 = 1_pInt,plastic_titanmod_totalNtwin(instance) plastic_titanmod_interactionMatrixTwinTwin(t1,t2,instance) = & plastic_titanmod_interactionTwinTwin(lattice_interactionTwinTwin( & plastic_titanmod_twinSystemLattice(t1,instance), & plastic_titanmod_twinSystemLattice(t2,instance), phase),instance) enddo; enddo do s1 = 1_pInt,plastic_titanmod_totalNslip(instance) do s2 = 1_pInt,plastic_titanmod_totalNslip(instance) !-------------------------------------------------------------------------------------------------- ! calculation of forest projections for edge dislocations plastic_titanmod_forestProjectionEdge(s1,s2,instance) = & abs(math_mul3x3(lattice_sn(:,plastic_titanmod_slipSystemLattice(s1,instance),phase), & lattice_st(:,plastic_titanmod_slipSystemLattice(s2,instance),phase))) !-------------------------------------------------------------------------------------------------- ! calculation of forest projections for screw dislocations plastic_titanmod_forestProjectionScrew(s1,s2,instance) = & abs(math_mul3x3(lattice_sn(:,plastic_titanmod_slipSystemLattice(s1,instance),phase), & lattice_sd(:,plastic_titanmod_slipSystemLattice(s2,instance),phase))) enddo; enddo !-------------------------------------------------------------------------------------------------- ! calculation of forest projections for edge dislocations in twin system do t1 = 1_pInt,plastic_titanmod_totalNtwin(instance) do t2 = 1_pInt,plastic_titanmod_totalNtwin(instance) plastic_titanmod_TwinforestProjectionEdge(t1,t2,instance) = & abs(math_mul3x3(lattice_tn(:,plastic_titanmod_twinSystemLattice(t1,instance),phase), & lattice_tt(:,plastic_titanmod_twinSystemLattice(t2,instance),phase))) !-------------------------------------------------------------------------------------------------- ! calculation of forest projections for screw dislocations in twin system plastic_titanmod_TwinforestProjectionScrew(t1,t2,instance) = & abs(math_mul3x3(lattice_tn(:,plastic_titanmod_twinSystemLattice(t1,instance),phase), & lattice_td(:,plastic_titanmod_twinSystemLattice(t2,instance),phase))) enddo; enddo call plastic_titanmod_stateInit(phase,instance) endif enddo initializeInstances end subroutine plastic_titanmod_init !-------------------------------------------------------------------------------------------------- !> @brief sets the initial microstructural state for a given instance of this plasticity !-------------------------------------------------------------------------------------------------- subroutine plastic_titanmod_stateInit(ph,instance) use lattice, only: & lattice_maxNslipFamily, & lattice_maxNtwinFamily, & lattice_mu use material, only: & plasticState implicit none integer(pInt), intent(in) :: instance !< number specifying the instance of the plasticity integer(pInt), intent(in) :: ph !< number specifying the phase of the plasticity integer(pInt) :: & s,s0,s1, & t,t0,t1, & ns,nt,f real(pReal), dimension(plastic_titanmod_totalNslip(instance)) :: & rho_edge0, & rho_screw0, & shear_system0, & segment_edge0, & segment_screw0, & resistance_edge0, & resistance_screw0 real(pReal), dimension(plastic_titanmod_totalNtwin(instance)) :: & twingamma_dot0, & resistance_twin0 real(pReal), dimension(plasticState(ph)%sizeState) :: tempState !!!!!!!!!????????? check ns = plastic_titanmod_totalNslip(instance) nt = plastic_titanmod_totalNtwin(instance) tempState = 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 + plastic_titanmod_Nslip(f,instance) - 1_pInt do s = s0,s1 rho_edge0(s) = plastic_titanmod_rho_edge0(f,instance) rho_screw0(s) = plastic_titanmod_rho_screw0(f,instance) shear_system0(s) = 0.0_pReal enddo enddo !-------------------------------------------------------------------------------------------------- ! initialize basic slip state variables for twin t1 = 0_pInt do f = 1_pInt,lattice_maxNtwinFamily t0 = t1 + 1_pInt t1 = t0 + plastic_titanmod_Ntwin(f,instance) - 1_pInt do t = t0,t1 twingamma_dot0(t)=0.0_pReal enddo enddo !-------------------------------------------------------------------------------------------------- ! initialize dependent slip microstructural variables forall (s = 1_pInt:ns) segment_edge0(s) = plastic_titanmod_CeLambdaSlipPerSlipSys(s,instance)/ & sqrt(dot_product((rho_edge0),plastic_titanmod_forestProjectionEdge(1:ns,s,instance))+ & dot_product((rho_screw0),plastic_titanmod_forestProjectionScrew(1:ns,s,instance))) segment_screw0(s) = plastic_titanmod_CsLambdaSlipPerSlipSys(s,instance)/ & sqrt(dot_product((rho_edge0),plastic_titanmod_forestProjectionEdge(1:ns,s,instance))+ & dot_product((rho_screw0),plastic_titanmod_forestProjectionScrew(1:ns,s,instance))) resistance_edge0(s) = & lattice_mu(ph)*plastic_titanmod_burgersPerSlipSys(s,instance)* & sqrt(dot_product((rho_edge0),plastic_titanmod_interactionMatrix_ee(1:ns,s,instance))+ & dot_product((rho_screw0),plastic_titanmod_interactionMatrix_es(1:ns,s,instance))) resistance_screw0(s) = & lattice_mu(ph)*plastic_titanmod_burgersPerSlipSys(s,instance)* & sqrt(dot_product((rho_edge0),plastic_titanmod_interactionMatrix_es(1:ns,s,instance))+ & dot_product((rho_screw0), plastic_titanmod_interactionMatrix_ss(1:ns,s,instance))) end forall forall (t = 1_pInt:nt) & resistance_twin0(t) = 0.0_pReal tempState = 0.0_pReal tempState (1:ns) = rho_edge0 tempState (1_pInt*ns+1_pInt:2_pInt*ns) = rho_screw0 tempState (2_pInt*ns+1_pInt:3_pInt*ns) = shear_system0 tempState (3_pInt*ns+1_pInt:3_pInt*ns+nt) = twingamma_dot0 tempState (3_pInt*ns+nt+1_pInt:4_pInt*ns+nt) = segment_edge0 tempState (4_pInt*ns+nt+1_pInt:5_pInt*ns+nt) = segment_screw0 tempState (5_pInt*ns+nt+1_pInt:6_pInt*ns+nt) = resistance_edge0 tempState (6_pInt*ns+nt+1_pInt:7_pInt*ns+nt) = resistance_screw0 tempState (7_pInt*ns+nt+1_pInt:7_pInt*ns+2_pInt*nt)=resistance_twin0 plasticState(ph)%state0 = spread(tempState,2,size(plasticState(ph)%state(1,:))) end subroutine plastic_titanmod_stateInit !-------------------------------------------------------------------------------------------------- !> @brief returns the homogenized elasticity matrix !-------------------------------------------------------------------------------------------------- function plastic_titanmod_homogenizedC(ipc,ip,el) use material, only: & material_phase, & phase_plasticityInstance, & plasticState, & phaseAt, phasememberAt use lattice, only: & lattice_C66 implicit none real(pReal), dimension(6,6) :: & plastic_titanmod_homogenizedC integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), dimension(plastic_titanmod_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & volumefraction_PerTwinSys integer(pInt) :: & ph, & of, & instance, & ns, nt, & i real(pReal) :: & sumf !-------------------------------------------------------------------------------------------------- ! shortened notation ! ph = material_phase(ipc,ip,el) of = phasememberAt(ipc,ip,el) ph = phaseAt(ipc,ip,el) instance = phase_plasticityInstance(ph) ns = plastic_titanmod_totalNslip(instance) nt = plastic_titanmod_totalNtwin(instance) !-------------------------------------------------------------------------------------------------- ! total twin volume fraction do i=1_pInt,nt volumefraction_PerTwinSys(i)=plasticState(ph)%state(3_pInt*ns+i, of)/ & plastic_titanmod_twinshearconstant_PerTwinSys(i,instance) enddo sumf = sum(abs(volumefraction_PerTwinSys(1:nt))) ! safe for nt == 0 !-------------------------------------------------------------------------------------------------- ! homogenized elasticity matrix plastic_titanmod_homogenizedC = (1.0_pReal-sumf)*lattice_C66(1:6,1:6,ph) do i=1_pInt,nt plastic_titanmod_homogenizedC = plastic_titanmod_homogenizedC & + volumefraction_PerTwinSys(i)*& plastic_titanmod_Ctwin66(1:6,1:6,i,instance) enddo end function plastic_titanmod_homogenizedC !-------------------------------------------------------------------------------------------------- !> @brief calculates derived quantities from state !-------------------------------------------------------------------------------------------------- subroutine plastic_titanmod_microstructure(temperature,ipc,ip,el) use material, only: & material_phase,& phase_plasticityInstance, & plasticState, & phaseAt, phasememberAt use lattice, only: & lattice_mu 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 integer(pInt) :: & instance, & ns, nt, s, t, & i, & ph, & of real(pReal) :: & sumf, & sfe ! stacking fault energy real(pReal), dimension(plastic_titanmod_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & volumefraction_PerTwinSys !-------------------------------------------------------------------------------------------------- !Shortened notation of = phasememberAt(ipc,ip,el) ph = phaseAt(ipc,ip,el) instance = phase_plasticityInstance(ph) ns = plastic_titanmod_totalNslip(instance) nt = plastic_titanmod_totalNtwin(instance) !-------------------------------------------------------------------------------------------------- ! total twin volume fraction forall (i = 1_pInt:nt) & volumefraction_PerTwinSys(i)=plasticState(ph)%state(3_pInt*ns+i, of)/ & plastic_titanmod_twinshearconstant_PerTwinSys(i,instance) sumf = sum(abs(volumefraction_PerTwinSys(1:nt))) ! safe for nt == 0 sfe = 0.0002_pReal*Temperature-0.0396_pReal !-------------------------------------------------------------------------------------------------- ! average segment length for edge dislocations in matrix forall (s = 1_pInt:ns) & plasticState(ph)%state(3_pInt*ns+nt+s, of) = plastic_titanmod_CeLambdaSlipPerSlipSys(s,instance)/ & sqrt(dot_product(plasticState(ph)%state(1:ns, of), & plastic_titanmod_forestProjectionEdge(1:ns,s,instance))+ & dot_product(plasticState(ph)%state(ns+1_pInt:2_pInt*ns, of), & plastic_titanmod_forestProjectionScrew(1:ns,s,instance))) !-------------------------------------------------------------------------------------------------- ! average segment length for screw dislocations in matrix forall (s = 1_pInt:ns) & plasticState(ph)%state(4_pInt*ns+nt+s, of) = plastic_titanmod_CsLambdaSlipPerSlipSys(s,instance)/ & sqrt(dot_product(plasticState(ph)%state(1:ns, of), & plastic_titanmod_forestProjectionEdge(1:ns,s,instance))+ & dot_product(plasticState(ph)%state(ns+1_pInt:2_pInt*ns, of), & plastic_titanmod_forestProjectionScrew(1:ns,s,instance))) !-------------------------------------------------------------------------------------------------- ! threshold stress or slip resistance for edge dislocation motion forall (s = 1_pInt:ns) & plasticState(ph)%state(5_pInt*ns+nt+s, of) = & lattice_mu(ph)*plastic_titanmod_burgersPerSlipSys(s,instance)*& sqrt(dot_product((plasticState(ph)%state(1:ns, of)),& plastic_titanmod_interactionMatrix_ee(1:ns,s,instance))+ & dot_product((plasticState(ph)%state(ns+1_pInt:2_pInt*ns, of)),& plastic_titanmod_interactionMatrix_es(1:ns,s,instance))) !-------------------------------------------------------------------------------------------------- ! threshold stress or slip resistance for screw dislocation motion forall (s = 1_pInt:ns) & plasticState(ph)%state(6_pInt*ns+nt+s, of) = & lattice_mu(ph)*plastic_titanmod_burgersPerSlipSys(s,instance)*& sqrt(dot_product((plasticState(ph)%state(1:ns, of)),& plastic_titanmod_interactionMatrix_es(1:ns,s,instance))+ & dot_product((plasticState(ph)%state(ns+1_pInt:2_pInt*ns, of)),& plastic_titanmod_interactionMatrix_ss(1:ns,s,instance))) !-------------------------------------------------------------------------------------------------- ! threshold stress or slip resistance for dislocation motion in twin forall (t = 1_pInt:nt) & plasticState(ph)%state(7_pInt*ns+nt+t, of) = & lattice_mu(ph)*plastic_titanmod_burgersPerTwinSys(t,instance)*& (dot_product((abs(plasticState(ph)%state(2_pInt*ns+1_pInt:2_pInt*ns+nt, of))),& plastic_titanmod_interactionMatrixTwinTwin(1:nt,t,instance))) ! state=tempState end subroutine plastic_titanmod_microstructure !-------------------------------------------------------------------------------------------------- !> @brief calculates plastic velocity gradient and its tangent !-------------------------------------------------------------------------------------------------- subroutine plastic_titanmod_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,temperature,ipc,ip,el) use math, only: & math_Plain3333to99, & math_Mandel6to33 use lattice, only: & lattice_Sslip, & lattice_Sslip_v, & lattice_Stwin, & lattice_Stwin_v, & lattice_maxNslipFamily, & lattice_maxNtwinFamily, & lattice_NslipSystem, & lattice_NtwinSystem, & lattice_structure, & LATTICE_hex_ID use material, only: & material_phase, & phase_plasticityInstance, & plasticState, & phaseAt, phasememberAt implicit none real(pReal), dimension(3,3), intent(out) :: & Lp !< plastic velocity gradient real(pReal), dimension(9,9), intent(out) :: & dLp_dTstar99 !< derivative of Lp with respect to 2nd Piola Kirchhoff stress integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), dimension(6), intent(in) :: & Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation real(pReal), intent(in) :: & temperature !< temperature at IP integer(pInt) :: & index_myFamily, instance, & ns,nt, & f,i,j,k,l,m,n, & ph, & of real(pReal) :: sumf, & StressRatio_edge_p, minusStressRatio_edge_p, StressRatio_edge_pminus1, BoltzmannRatioedge, & StressRatio_screw_p, minusStressRatio_screw_p, StressRatio_screw_pminus1, BoltzmannRatioscrew, & twinStressRatio_p, twinminusStressRatio_p, twinStressRatio_pminus1, BoltzmannRatiotwin, & twinDotGamma0, bottomstress_edge, bottomstress_screw, screwvelocity_prefactor real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333 real(pReal), dimension(plastic_titanmod_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & gdot_slip,dgdot_dtauslip,tau_slip, & edge_velocity, screw_velocity, & gdot_slip_edge, gdot_slip_screw real(pReal), dimension(plastic_titanmod_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & gdot_twin,dgdot_dtautwin,tau_twin, volumefraction_PerTwinSys ! tempState=state !-------------------------------------------------------------------------------------------------- ! shortened notation of = phasememberAt(ipc,ip,el) ph = phaseAt(ipc,ip,el) instance = phase_plasticityInstance(ph) ns = plastic_titanmod_totalNslip(instance) nt = plastic_titanmod_totalNtwin(instance) do i=1_pInt,nt volumefraction_PerTwinSys(i)=plasticState(ph)%state(3_pInt*ns+i, of)/ & plastic_titanmod_twinshearconstant_PerTwinSys(i,instance) enddo sumf = sum(abs(volumefraction_PerTwinSys(1:nt))) ! safe for nt == 0 Lp = 0.0_pReal dLp_dTstar3333 = 0.0_pReal dLp_dTstar99 = 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 slipFamiliesLoop: do f = 1_pInt,lattice_maxNslipFamily index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family do i = 1_pInt,plastic_titanmod_Nslip(f,instance) ! 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,ph)) if(lattice_structure(ph)==LATTICE_hex_ID) then ! only for prismatic and pyr systems in hex screwvelocity_prefactor=plastic_titanmod_debyefrequency(instance)* & plasticState(ph)%state(4_pInt*ns+nt+j, of)*(plastic_titanmod_burgersPerSlipSys(j,instance)/ & plastic_titanmod_kinkcriticallength_PerSlipSys(j,instance))**2 !* Stress ratio for screw ! No slip resistance for screw dislocations, only Peierls stress bottomstress_screw=plastic_titanmod_tau0s_PerSlipSys(j,instance) StressRatio_screw_p = ((abs(tau_slip(j)))/ & ( bottomstress_screw) & )**plastic_titanmod_ps_PerSlipSys(j,instance) 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=plastic_titanmod_tau0s_PerSlipSys(j,instance) StressRatio_screw_pminus1 = ((abs(tau_slip(j)))/ & ( bottomstress_screw) & )**(plastic_titanmod_ps_PerSlipSys(j,instance)-1.0_pReal) !* Boltzmann ratio for screw BoltzmannRatioscrew = plastic_titanmod_kinkf0(instance)/(kB*Temperature) else ! if the structure is not hex or the slip family is basal screwvelocity_prefactor=plastic_titanmod_v0s_PerSlipSys(j,instance) bottomstress_screw=plastic_titanmod_tau0s_PerSlipSys(j,instance)+ & plasticState(ph)%state(6*ns+nt+j, of) StressRatio_screw_p = ((abs(tau_slip(j)))/( bottomstress_screw ))**plastic_titanmod_ps_PerSlipSys(j,instance) 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))** & (plastic_titanmod_ps_PerSlipSys(j,instance)-1.0_pReal) !* Boltzmann ratio for screw BoltzmannRatioscrew = plastic_titanmod_f0_PerSlipSys(j,instance)/(kB*Temperature) endif !* Stress ratio for edge bottomstress_edge=plastic_titanmod_tau0e_PerSlipSys(j,instance)+ & plasticState(ph)%state(5*ns+nt+j, of) StressRatio_edge_p = ((abs(tau_slip(j)))/ & ( bottomstress_edge) & )**plastic_titanmod_pe_PerSlipSys(j,instance) 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))** & (plastic_titanmod_pe_PerSlipSys(j,instance)-1.0_pReal) !* Boltzmann ratio for edge. For screws it is defined above BoltzmannRatioedge = plastic_titanmod_f0_PerSlipSys(j,instance)/(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)** & plastic_titanmod_qs_PerSlipSys(j,instance)) edge_velocity(j) =plastic_titanmod_v0e_PerSlipSys(j,instance)*exp(-BoltzmannRatioedge* & (minusStressRatio_edge_p)** & plastic_titanmod_qe_PerSlipSys(j,instance)) !* Shear rates due to edge slip gdot_slip_edge(j) = plastic_titanmod_burgersPerSlipSys(j,instance)*(plasticState(ph)%state(j, of)* & edge_velocity(j))* sign(1.0_pReal,tau_slip(j)) !* Shear rates due to screw slip gdot_slip_screw(j) = plastic_titanmod_burgersPerSlipSys(j,instance)*(plasticState(ph)%state(ns+j, of) * & screw_velocity(j))* sign(1.0_pReal,tau_slip(j)) !Total shear rate gdot_slip(j) = gdot_slip_edge(j) + gdot_slip_screw(j) plasticState(ph)%state( 7*ns+2*nt+j, of)= edge_velocity(j) plasticState(ph)%state( 8*ns+2*nt+j, of)= screw_velocity(j) plasticState(ph)%state( 9*ns+2*nt+j, of)= tau_slip(j) plasticState(ph)%state(10*ns+2*nt+j, of)= gdot_slip_edge(j) plasticState(ph)%state(11*ns+2*nt+j, of)= gdot_slip_screw(j) plasticState(ph)%state(12*ns+2*nt+j, of)= StressRatio_edge_p plasticState(ph)%state(13*ns+2*nt+j, of)= StressRatio_screw_p !* Derivatives of shear rates dgdot_dtauslip(j) = plastic_titanmod_burgersPerSlipSys(j,instance)*(( & ( & ( & ( & (edge_velocity(j)*plasticState(ph)%state(j, of))) * & BoltzmannRatioedge*& plastic_titanmod_pe_PerSlipSys(j,instance)* & plastic_titanmod_qe_PerSlipSys(j,instance) & )/ & bottomstress_edge & )*& StressRatio_edge_pminus1*(minusStressRatio_edge_p)** & (plastic_titanmod_qe_PerSlipSys(j,instance)-1.0_pReal) & ) + & ( & ( & ( & (plasticState(ph)%state(ns+j, of) * screw_velocity(j)) * & BoltzmannRatioscrew* & plastic_titanmod_ps_PerSlipSys(j,instance)* & plastic_titanmod_qs_PerSlipSys(j,instance) & )/ & bottomstress_screw & )*& StressRatio_screw_pminus1*(minusStressRatio_screw_p)**(plastic_titanmod_qs_PerSlipSys(j,instance)-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(1:3,1:3,1,index_myFamily+i,ph) !* 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,ph)*& lattice_Sslip(m,n,1,index_myFamily+i,ph) enddo enddo slipFamiliesLoop !* Mechanical twinning part gdot_twin = 0.0_pReal dgdot_dtautwin = 0.0_pReal j = 0_pInt twinFamiliesLoop: do f = 1_pInt,lattice_maxNtwinFamily index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,ph)) ! at which index starts my family do i = 1_pInt,plastic_titanmod_Ntwin(f,instance) ! 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,ph)) !************************************************************************************** !* Stress ratios ! StressRatio_r = (plasticState(ph)%state6*ns+3*nt+j, of)/tau_twin(j))**plastic_titanmod_r(instance) !* Shear rates and their derivatives due to twin ! if ( tau_twin(j) > 0.0_pReal ) !then ! gdot_twin(j) = 0.0_pReal!& ! (plastic_titanmod_MaxTwinFraction(instance)-sumf)*lattice_shearTwin(index_myFamily+i,ph)*& ! plasticState(ph)%state(6*ns+4*nt+j, of)*plastic_titanmod_Ndot0PerTwinSys(f,instance)*exp(-StressRatio_r) ! dgdot_dtautwin(j) = ((gdot_twin(j)*plastic_titanmod_r(instance))/tau_twin(j))*StressRatio_r ! endif !************************************************************************************** !* Stress ratio for edge twinStressRatio_p = ((abs(tau_twin(j)))/ & ( plastic_titanmod_twintau0_PerTwinSys(j,instance)+plasticState(ph)%state(7*ns+nt+j, of)) & )**plastic_titanmod_twinp_PerTwinSys(j,instance) 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)))/ & ( plastic_titanmod_twintau0_PerTwinSys(j,instance)+plasticState(ph)%state(7*ns+nt+j, of)) & )**(plastic_titanmod_twinp_PerTwinSys(j,instance)-1.0_pReal) !* Boltzmann ratio BoltzmannRatiotwin = plastic_titanmod_twinf0_PerTwinSys(j,instance)/(kB*Temperature) !* Initial twin shear rates TwinDotGamma0 = & plastic_titanmod_twingamma0_PerTwinSys(j,instance) !* Shear rates due to twin gdot_twin(j) =sign(1.0_pReal,tau_twin(j))*plastic_titanmod_twingamma0_PerTwinSys(j,instance)* & exp(-BoltzmannRatiotwin*(twinminusStressRatio_p)**plastic_titanmod_twinq_PerTwinSys(j,instance)) !* Derivatives of shear rates in twin dgdot_dtautwin(j) = ( & ( & ( & (abs(gdot_twin(j))) * & BoltzmannRatiotwin*& plastic_titanmod_twinp_PerTwinSys(j,instance)* & plastic_titanmod_twinq_PerTwinSys(j,instance) & )/ & plastic_titanmod_twintau0_PerTwinSys(j,instance) & )*& twinStressRatio_pminus1*(twinminusStressRatio_p)** & (plastic_titanmod_twinq_PerTwinSys(j,instance)-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,ph) Lp = Lp + gdot_twin(j)*lattice_Stwin(:,:,index_myFamily+i,ph) !* 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,ph)*& lattice_Stwin(m,n,index_myFamily+i,ph) enddo enddo twinFamiliesLoop dLp_dTstar99 = math_Plain3333to99(dLp_dTstar3333) ! tempState=state end subroutine plastic_titanmod_LpAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief calculates the rate of change of microstructure !-------------------------------------------------------------------------------------------------- subroutine plastic_titanmod_dotState(Tstar_v,temperature,ipc,ip,el) use lattice, only: & lattice_Stwin_v, & lattice_maxNslipFamily, & lattice_maxNtwinFamily, & lattice_NslipSystem, & lattice_NtwinSystem use material, only: & material_phase, & phase_plasticityInstance, & plasticState, & phaseAt, phasememberAt 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 integer(pInt) :: & index_myFamily, instance, & ns,nt,& f,i,j, & ph, & of real(pReal) :: & sumf,BoltzmannRatio, & twinStressRatio_p,twinminusStressRatio_p real(pReal), dimension(plastic_titanmod_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & DotRhoEdgeGeneration, & DotRhoEdgeAnnihilation, & DotRhoScrewGeneration, & DotRhoScrewAnnihilation real(pReal), dimension(plastic_titanmod_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & gdot_twin, & tau_twin, & volumefraction_PerTwinSys !-------------------------------------------------------------------------------------------------- ! shortened notation of = phasememberAt(ipc,ip,el) ph = phaseAt(ipc,ip,el) instance = phase_plasticityInstance(ph) ns = plastic_titanmod_totalNslip(instance) nt = plastic_titanmod_totalNtwin(instance) do i=1_pInt,nt volumefraction_PerTwinSys(i)=plasticState(ph)%state(3_pInt*ns+i, of)/ & plastic_titanmod_twinshearconstant_PerTwinSys(i,instance) enddo sumf = sum(abs(volumefraction_PerTwinSys(1_pInt:nt))) ! safe for nt == 0 plasticState(ph)%dotState(:,of) = 0.0_pReal j = 0_pInt slipFamiliesLoop: do f = 1_pInt,lattice_maxNslipFamily index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family do i = 1_pInt,plastic_titanmod_Nslip(f,instance) ! process each (active) slip system in family j = j+1_pInt DotRhoEdgeGeneration(j) = & ! multiplication of edge dislocations plasticState(ph)%state(ns+j, of)*plasticState(ph)%state(8*ns+2*nt+j, of)/plasticState(ph)%state(4*ns+nt+j, of) DotRhoScrewGeneration(j) = & ! multiplication of screw dislocations plasticState(ph)%state(j, of)*plasticState(ph)%state(7*ns+2*nt+j, of)/plasticState(ph)%state(3*ns+nt+j, of) DotRhoEdgeAnnihilation(j) = -((plasticState(ph)%state(j, of))**2)* & ! annihilation of edge dislocations plastic_titanmod_capre_PerSlipSys(j,instance)*plasticState(ph)%state(7*ns+2*nt+j, of)*0.5_pReal DotRhoScrewAnnihilation(j) = -((plasticState(ph)%state(ns+j, of))**2)* & ! annihilation of screw dislocations plastic_titanmod_caprs_PerSlipSys(j,instance)*plasticState(ph)%state(8*ns+2*nt+j, of)*0.5_pReal plasticState(ph)%dotState(j, of) = & ! edge dislocation density rate of change DotRhoEdgeGeneration(j)+DotRhoEdgeAnnihilation(j) plasticState(ph)%dotState(ns+j, of) = & ! screw dislocation density rate of change DotRhoScrewGeneration(j)+DotRhoScrewAnnihilation(j) plasticState(ph)%dotState(2*ns+j, of) = & ! sum of shear due to edge and screw plasticState(ph)%state(10*ns+2*nt+j, of)+plasticState(ph)%state(11*ns+2*nt+j, of) enddo enddo slipFamiliesLoop !* Twin fraction evolution j = 0_pInt twinFamiliesLoop: do f = 1_pInt,lattice_maxNtwinFamily index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,ph)) ! at which index starts my family do i = 1_pInt,plastic_titanmod_Ntwin(f,instance) ! 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,ph)) !* Stress ratio for edge twinStressRatio_p = ((abs(tau_twin(j)))/ & ( plastic_titanmod_twintau0_PerTwinSys(j,instance)+plasticState(ph)%state(7*ns+nt+j, of)) & )**(plastic_titanmod_twinp_PerTwinSys(j,instance)) if((1.0_pReal-twinStressRatio_p)>0.001_pReal) then twinminusStressRatio_p=1.0_pReal-twinStressRatio_p else twinminusStressRatio_p=0.001_pReal endif BoltzmannRatio = plastic_titanmod_twinf0_PerTwinSys(j,instance)/(kB*Temperature) gdot_twin(j) =plastic_titanmod_twingamma0_PerTwinSys(j,instance)*exp(-BoltzmannRatio* & (twinminusStressRatio_p)** & plastic_titanmod_twinq_PerTwinSys(j,instance))*sign(1.0_pReal,tau_twin(j)) plasticState(ph)%dotState(3*ns+j, of)=gdot_twin(j) enddo enddo twinFamiliesLoop end subroutine plastic_titanmod_dotState !-------------------------------------------------------------------------------------------------- !> @brief return array of constitutive results !-------------------------------------------------------------------------------------------------- function plastic_titanmod_postResults(ipc,ip,el) use material, only: & material_phase, & phase_plasticityInstance, & plasticState, & phaseAt, phasememberAt implicit none integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), dimension(plastic_titanmod_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & plastic_titanmod_postResults integer(pInt) :: & instance, & ns,nt,& o,i,c, & ph, & of real(pReal) :: sumf real(pReal), dimension(plastic_titanmod_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & volumefraction_PerTwinSys !-------------------------------------------------------------------------------------------------- ! shortened notation of = phasememberAt(ipc,ip,el) ph = phaseAt(ipc,ip,el) instance = phase_plasticityInstance(ph) ns = plastic_titanmod_totalNslip(instance) nt = plastic_titanmod_totalNtwin(instance) do i=1_pInt,nt volumefraction_PerTwinSys(i)=plasticState(ph)%state(3_pInt*ns+i, of)/ & plastic_titanmod_twinshearconstant_PerTwinSys(i,instance) enddo sumf = sum(abs(volumefraction_PerTwinSys(1:nt))) ! safe for nt == 0 !-------------------------------------------------------------------------------------------------- ! required output c = 0_pInt plastic_titanmod_postResults = 0.0_pReal do o = 1_pInt,plastic_titanmod_Noutput(instance) select case(plastic_titanmod_outputID(o,instance)) case (rhoedge_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = plasticState(ph)%state(1_pInt:ns, of) c = c + ns case (rhoscrew_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = plasticState(ph)%state(ns+1_pInt:2_pInt*ns, of) c = c + ns case (segment_edge_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = plasticState(ph)%state(3_pInt*ns+nt+1_pInt:4_pInt*ns+nt, of) c = c + ns case (segment_screw_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = plasticState(ph)%state(4_pInt*ns+nt+1_pInt:5_pInt*ns+nt, of) c = c + ns case (resistance_edge_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = plasticState(ph)%state(5_pInt*ns+nt+1_pInt:6_pInt*ns+nt, of) c = c + ns case (resistance_screw_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = plasticState(ph)%state(6_pInt*ns+nt+1_pInt:7_pInt*ns+nt, of) c = c + ns case (velocity_edge_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = plasticState(ph)%state(7*ns+2*nt+1:8*ns+2*nt, of) c = c + ns case (velocity_screw_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = plasticState(ph)%state(8*ns+2*nt+1:9*ns+2*nt, of) c = c + ns case (tau_slip_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = abs(plasticState(ph)%state(9*ns+2*nt+1:10*ns+2*nt, of)) c = c + ns case (gdot_slip_edge_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = abs(plasticState(ph)%state(10*ns+2*nt+1:11*ns+2*nt, of)) c = c + ns case (gdot_slip_screw_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = abs(plasticState(ph)%state(11*ns+2*nt+1:12*ns+2*nt, of)) c = c + ns case (gdot_slip_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = abs(plasticState(ph)%state(10*ns+2*nt+1:11*ns+2*nt, of)) + & abs(plasticState(ph)%state(11*ns+2*nt+1:12*ns+2*nt, of)) c = c + ns case (stressratio_edge_p_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = abs(plasticState(ph)%state(12*ns+2*nt+1:13*ns+2*nt, of)) c = c + ns case (stressratio_screw_p_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = abs(plasticState(ph)%state(13*ns+2*nt+1:14*ns+2*nt, of)) c = c + ns case (shear_system_ID) plastic_titanmod_postResults(c+1_pInt:c+ns) = abs(plasticState(ph)%state(2*ns+1:3*ns, of)) c = c + ns case (shear_basal_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(plasticState(ph)%state(2*ns+1:2*ns+3, of))) c = c + 1_pInt case (shear_prism_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(plasticState(ph)%state(2*ns+4:2*ns+6, of))) c = c + 1_pInt case (shear_pyra_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(plasticState(ph)%state(2*ns+7:2*ns+12, of))) c = c + 1_pInt case (shear_pyrca_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(plasticState(ph)%state(2*ns+13:2*ns+24, of))) c = c + 1_pInt case (rhoedge_basal_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(plasticState(ph)%state(1:3, of)) c = c + 1_pInt case (rhoedge_prism_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(plasticState(ph)%state(4:6, of)) c = c + 1_pInt case (rhoedge_pyra_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(plasticState(ph)%state(7:12,of)) c = c + 1_pInt case (rhoedge_pyrca_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(plasticState(ph)%state(13:24, of)) c = c + 1_pInt case (rhoscrew_basal_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(plasticState(ph)%state(ns+1:ns+3, of)) c = c + 1_pInt case (rhoscrew_prism_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(plasticState(ph)%state(ns+4:ns+6, of)) c = c + 1_pInt case (rhoscrew_pyra_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(plasticState(ph)%state(ns+7:ns+12, of)) c = c + 1_pInt case (rhoscrew_pyrca_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(plasticState(ph)%state(ns+13:ns+24, of)) c = c + 1_pInt case (shear_total_ID) plastic_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(plasticState(ph)%state(2*ns+1:3*ns, of))) c = c + 1_pInt case (twin_fraction_ID) plastic_titanmod_postResults(c+1_pInt:c+nt) = abs(volumefraction_PerTwinSys(1:nt)) c = c + nt end select enddo end function plastic_titanmod_postResults end module plastic_titanmod