!-------------------------------------------------------------------------------------------------- ! $Id$ !-------------------------------------------------------------------------------------------------- !> @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 constitutive_titanmod use prec, only: & pReal, & pInt implicit none private character(len=18), dimension(3), parameter, private :: & CONSTITUTIVE_TITANMOD_listBasicSlipStates = & ['rho_edge ', 'rho_screw ', 'shear_system'] character(len=18), dimension(1), parameter, private :: & CONSTITUTIVE_TITANMOD_listBasicTwinStates = ['gdot_twin'] character(len=19), dimension(11), parameter, private :: & 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, private :: & constitutive_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 :: & 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, private :: & constitutive_titanmod_Noutput !< number of outputs per instance of this plasticity !< ID of the lattice structure integer(pInt), dimension(:), allocatable, private :: & 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, private :: & 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, private :: & constitutive_titanmod_debyefrequency, & !< Debye frequency constitutive_titanmod_kinkf0, & !< 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, private :: & 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_burgersPerSlipFam, & !< absolute length of burgers vector [m] for each slip family and instance constitutive_titanmod_burgersPerSlipSys, & !< absolute length of burgers vector [m] for each slip system and instance constitutive_titanmod_burgersPerTwinFam, & !< absolute length of burgers vector [m] for each twin family and instance constitutive_titanmod_burgersPerTwinSys, & !< absolute length of burgers vector [m] for each twin system and instance constitutive_titanmod_f0_PerSlipFam, & !< activation energy for glide [J] for each slip family and instance constitutive_titanmod_f0_PerSlipSys, & !< activation energy for glide [J] for each slip system and instance constitutive_titanmod_twinf0_PerTwinFam, & !< activation energy for glide [J] for each twin family and instance constitutive_titanmod_twinf0_PerTwinSys, & !< activation energy for glide [J] for each twin system and instance constitutive_titanmod_twinshearconstant_PerTwinFam, & !< activation energy for glide [J] for each twin family and instance constitutive_titanmod_twinshearconstant_PerTwinSys, & !< activation energy for glide [J] for each twin system and instance constitutive_titanmod_tau0e_PerSlipFam, & !< Initial yield stress for edge dislocations per slip family constitutive_titanmod_tau0e_PerSlipSys, & !< Initial yield stress for edge dislocations per slip system constitutive_titanmod_tau0s_PerSlipFam, & !< Initial yield stress for screw dislocations per slip family constitutive_titanmod_tau0s_PerSlipSys, & !< Initial yield stress for screw dislocations per slip system constitutive_titanmod_twintau0_PerTwinFam, & !< Initial yield stress for edge dislocations per twin family constitutive_titanmod_twintau0_PerTwinSys, & !< Initial yield stress for edge dislocations per twin system constitutive_titanmod_capre_PerSlipFam, & !< Capture radii for edge dislocations per slip family constitutive_titanmod_capre_PerSlipSys, & !< Capture radii for edge dislocations per slip system constitutive_titanmod_caprs_PerSlipFam, & !< Capture radii for screw dislocations per slip family constitutive_titanmod_caprs_PerSlipSys, & !< Capture radii for screw dislocations per slip system constitutive_titanmod_pe_PerSlipFam, & !< p-exponent in glide velocity constitutive_titanmod_ps_PerSlipFam, & !< p-exponent in glide velocity constitutive_titanmod_qe_PerSlipFam, & !< q-exponent in glide velocity constitutive_titanmod_qs_PerSlipFam, & !< q-exponent in glide velocity constitutive_titanmod_pe_PerSlipSys, & !< p-exponent in glide velocity constitutive_titanmod_ps_PerSlipSys, & !< p-exponent in glide velocity constitutive_titanmod_qe_PerSlipSys, & !< q-exponent in glide velocity constitutive_titanmod_qs_PerSlipSys, & !< q-exponent in glide velocity constitutive_titanmod_twinp_PerTwinFam, & !< p-exponent in glide velocity constitutive_titanmod_twinq_PerTwinFam, & !< q-exponent in glide velocity constitutive_titanmod_twinp_PerTwinSys, & !< p-exponent in glide velocity constitutive_titanmod_twinq_PerTwinSys, & !< p-exponent in glide velocity constitutive_titanmod_v0e_PerSlipFam, & !< edge dislocation velocity prefactor [m/s] for each family and instance constitutive_titanmod_v0e_PerSlipSys, & !< screw dislocation velocity prefactor [m/s] for each slip system and instance constitutive_titanmod_v0s_PerSlipFam, & !< edge dislocation velocity prefactor [m/s] for each family and instance constitutive_titanmod_v0s_PerSlipSys, & !< screw dislocation velocity prefactor [m/s] for each slip system and instance constitutive_titanmod_twingamma0_PerTwinFam, & !< edge dislocation velocity prefactor [m/s] for each family and instance constitutive_titanmod_twingamma0_PerTwinSys, & !< screw dislocation velocity prefactor [m/s] for each slip system and instance constitutive_titanmod_kinkcriticallength_PerSlipFam, & !< screw dislocation mobility prefactor for kink-pairs per slip family constitutive_titanmod_kinkcriticallength_PerSlipSys, & !< screw dislocation mobility prefactor for kink-pairs per slip system constitutive_titanmod_twinsizePerTwinFam, & !< twin thickness [m] for each twin family and instance constitutive_titanmod_twinsizePerTwinSys, & !< twin thickness [m] for each twin system and instance constitutive_titanmod_CeLambdaSlipPerSlipFam, & !< Adj. parameter for distance between 2 forest dislocations for each slip family and instance constitutive_titanmod_CeLambdaSlipPerSlipSys, & !< Adj. parameter for distance between 2 forest dislocations for each slip system and instance constitutive_titanmod_CsLambdaSlipPerSlipFam, & !< Adj. parameter for distance between 2 forest dislocations for each slip family and instance constitutive_titanmod_CsLambdaSlipPerSlipSys, & !< Adj. parameter for distance between 2 forest dislocations for each slip system and instance constitutive_titanmod_twinLambdaSlipPerTwinFam, & !< Adj. parameter for distance between 2 forest dislocations for each slip family and instance constitutive_titanmod_twinLambdaSlipPerTwinSys, & !< 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, private :: & 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 real(pReal), dimension(:,:,:,:), allocatable, private :: & constitutive_titanmod_Ctwin66 !< twin elasticity matrix in Mandel notation for each instance real(pReal), dimension(:,:,:,:,:,:), allocatable, private :: & constitutive_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 :: & constitutive_titanmod_outputID !< ID of each post result output public :: & constitutive_titanmod_microstructure, & constitutive_titanmod_stateInit, & constitutive_titanmod_init, & constitutive_titanmod_LpAndItsTangent, & constitutive_titanmod_dotState, & constitutive_titanmod_postResults, & constitutive_titanmod_homogenizedC, & constitutive_titanmod_aTolState contains !-------------------------------------------------------------------------------------------------- !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- subroutine constitutive_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: & homogenization_maxNgrains, & phase_plasticity, & phase_plasticityInstance, & phase_Noutput, & PLASTICITY_TITANMOD_label, & PLASTICITY_TITANMOD_ID, & MATERIAL_partPhase use lattice implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), parameter :: MAXNCHUNKS = LATTICE_maxNinteraction + 1_pInt integer(pInt), dimension(1_pInt+2_pInt*MAXNCHUNKS) :: positions integer(pInt) :: & phase, & instance, j, k, l, m, n, p, q, r, & f, o, & s, s1, s2, & t, t1, t2, & ns, nt, & Nchunks_SlipSlip, Nchunks_SlipTwin, Nchunks_TwinSlip, Nchunks_TwinTwin, & Nchunks_SlipFamilies, Nchunks_TwinFamilies, & mySize, & maxTotalNslip,maxTotalNtwin, maxNinstance character(len=65536) :: & tag = '', & line = '' write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_TITANMOD_label//' init -+>>>' write(6,'(a)') ' $Id$' write(6,'(a15,a)') ' Current time: ',IO_timeStamp() #include "compilation_info.f90" 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(constitutive_titanmod_sizeDotState(maxNinstance), source=0_pInt) allocate(constitutive_titanmod_sizeState(maxNinstance), source=0_pInt) allocate(constitutive_titanmod_sizePostResults(maxNinstance), source=0_pInt) allocate(constitutive_titanmod_sizePostResult(maxval(phase_Noutput),maxNinstance), source=0_pInt) allocate(constitutive_titanmod_output(maxval(phase_Noutput),maxNinstance)) constitutive_titanmod_output = '' allocate(constitutive_titanmod_outputID(maxval(phase_Noutput),maxNinstance), source=undefined_ID) allocate(constitutive_titanmod_Noutput(maxNinstance), source=0_pInt) allocate(constitutive_titanmod_Nslip(lattice_maxNslipFamily,maxNinstance), source=0_pInt) allocate(constitutive_titanmod_Ntwin(lattice_maxNtwinFamily,maxNinstance), source=0_pInt) allocate(constitutive_titanmod_slipFamily(lattice_maxNslip,maxNinstance), source=0_pInt) allocate(constitutive_titanmod_twinFamily(lattice_maxNtwin,maxNinstance), source=0_pInt) allocate(constitutive_titanmod_slipSystemLattice(lattice_maxNslip,maxNinstance), source=0_pInt) allocate(constitutive_titanmod_twinSystemLattice(lattice_maxNtwin,maxNinstance), source=0_pInt) allocate(constitutive_titanmod_totalNslip(maxNinstance), source=0_pInt) allocate(constitutive_titanmod_totalNtwin(maxNinstance), source=0_pInt) allocate(constitutive_titanmod_debyefrequency(maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_kinkf0(maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_CAtomicVolume(maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_dc(maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinhpconstant(maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_GrainSize(maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_MaxTwinFraction(maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_r(maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_CEdgeDipMinDistance(maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_Cmfptwin(maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_Cthresholdtwin(maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_aTolRho(maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_rho_edge0(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_rho_screw0(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_shear_system0(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_burgersPerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_burgersPerTwinFam(lattice_maxNtwinFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_f0_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_tau0e_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_tau0s_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_capre_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_caprs_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_pe_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_ps_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_qe_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_qs_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_v0e_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_v0s_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_kinkcriticallength_PerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinsizePerTwinFam(lattice_maxNtwinFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_CeLambdaSlipPerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_CsLambdaSlipPerSlipFam(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinf0_PerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinshearconstant_PerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twintau0_PerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinp_PerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinq_PerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twingamma0_PerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinLambdaSlipPerTwinFam(lattice_maxNTwinFamily,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interactionSlipSlip(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interaction_ee(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interaction_ss(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interaction_es(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interactionSlipTwin(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interactionTwinSlip(lattice_maxNinteraction,maxNinstance), source=0.0_pReal) allocate(constitutive_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 positions = IO_stringPos(line,MAXNCHUNKS) tag = IO_lc(IO_stringValue(line,positions,1_pInt)) ! extract key select case(tag) case ('plasticity','elasticity','lattice_structure', & 'covera_ratio','c/a_ratio','c/a', & 'c11','c12','c13','c22','c23','c33','c44','c55','c66') case ('(output)') constitutive_titanmod_Noutput(instance) = constitutive_titanmod_Noutput(instance) + 1_pInt constitutive_titanmod_output(constitutive_titanmod_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,positions,2_pInt)) select case(IO_lc(IO_stringValue(line,positions,2_pInt))) case ('rhoedge') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = rhoedge_ID case ('rhoscrew') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = rhoscrew_ID case ('segment_edge') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = segment_edge_ID case ('segment_screw') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = segment_screw_ID case ('resistance_edge') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = resistance_edge_ID case ('resistance_screw') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = resistance_screw_ID case ('velocity_edge') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = velocity_edge_ID case ('velocity_screw') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = velocity_screw_ID case ('tau_slip') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = tau_slip_ID case ('gdot_slip_edge') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = gdot_slip_edge_ID case ('gdot_slip_screw') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = gdot_slip_screw_ID case ('gdot_slip') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = gdot_slip_ID case ('stressratio_edge_p') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = stressratio_edge_p_ID case ('stressratio_screw_p') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = stressratio_screw_p_ID case ('shear_system') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = shear_system_ID case ('twin_fraction') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = twin_fraction_ID case ('shear_basal') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = shear_basal_ID case ('shear_prism') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = shear_prism_ID case ('shear_pyra') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = shear_pyra_ID case ('shear_pyrca') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = shear_pyrca_ID case ('rhoedge_basal') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = rhoedge_basal_ID case ('rhoedge_prism') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = rhoedge_prism_ID case ('rhoedge_pyra') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = rhoedge_pyra_ID case ('rhoedge_pyrca') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = rhoedge_pyrca_ID case ('rhoscrew_basal') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = rhoscrew_basal_ID case ('rhoscrew_prism') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = rhoscrew_prism_ID case ('rhoscrew_pyra') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = rhoscrew_pyra_ID case ('rhoscrew_pyrca') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = rhoscrew_pyrca_ID case ('shear_total') constitutive_titanmod_outputID(constitutive_titanmod_Noutput(instance),instance) = shear_total_ID case default call IO_error(105_pInt,ext_msg=IO_stringValue(line,positions,2_pInt)//' ('//PLASTICITY_TITANMOD_label//')') end select case ('debyefrequency') constitutive_titanmod_debyefrequency(instance) = IO_floatValue(line,positions,2_pInt) case ('kinkf0') constitutive_titanmod_kinkf0(instance) = IO_floatValue(line,positions,2_pInt) case ('nslip') if (positions(1) < 1_pInt + Nchunks_SlipFamilies) & call IO_warning(50_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_Nslip(j,instance) = IO_intValue(line,positions,1_pInt+j) enddo case ('ntwin') if (positions(1) < 1_pInt + Nchunks_TwinFamilies) & call IO_warning(51_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_Ntwin(j,instance) = IO_intValue(line,positions,1_pInt+j) enddo case ('rho_edge0') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_rho_edge0(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('rho_screw0') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_rho_screw0(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('slipburgers') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_burgersPerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinburgers') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_burgersPerTwinFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('f0') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_f0_PerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinf0') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twinf0_PerTwinFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('tau0e') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_tau0e_PerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twintau0') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twintau0_PerTwinFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('tau0s') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_tau0s_PerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('capre') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_capre_PerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('caprs') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_caprs_PerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('v0e') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_v0e_PerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twingamma0') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twingamma0_PerTwinFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('v0s') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_v0s_PerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('kinkcriticallength') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_kinkcriticallength_PerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinsize') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twinsizePerTwinFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('celambdaslip') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_CeLambdaSlipPerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinlambdaslip') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twinlambdaslipPerTwinFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('cslambdaslip') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_CsLambdaSlipPerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('grainsize') constitutive_titanmod_GrainSize(instance) = IO_floatValue(line,positions,2_pInt) case ('maxtwinfraction') constitutive_titanmod_MaxTwinFraction(instance) = IO_floatValue(line,positions,2_pInt) case ('pe') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_pe_PerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinp') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twinp_PerTwinFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('ps') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_ps_PerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('qe') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_qe_PerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinq') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twinq_PerTwinFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('qs') do j = 1_pInt, Nchunks_SlipFamilies constitutive_titanmod_qs_PerSlipFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('twinshearconstant') do j = 1_pInt, Nchunks_TwinFamilies constitutive_titanmod_twinshearconstant_PerTwinFam(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('dc') constitutive_titanmod_dc(instance) = IO_floatValue(line,positions,2_pInt) case ('twinhpconstant') constitutive_titanmod_twinhpconstant(instance) = IO_floatValue(line,positions,2_pInt) case ('atol_rho') constitutive_titanmod_aTolRho(instance) = IO_floatValue(line,positions,2_pInt) case ('interactionee') do j = 1_pInt, lattice_maxNinteraction constitutive_titanmod_interaction_ee(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('interactionss') do j = 1_pInt, lattice_maxNinteraction constitutive_titanmod_interaction_ss(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('interactiones') do j = 1_pInt, lattice_maxNinteraction constitutive_titanmod_interaction_es(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('interaction_slipslip','interactionslipslip') if (positions(1) < 1_pInt + Nchunks_SlipSlip) & call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') do j = 1_pInt, Nchunks_SlipSlip constitutive_titanmod_interactionSlipSlip(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('interaction_sliptwin','interactionsliptwin') if (positions(1) < 1_pInt + Nchunks_SlipTwin) & call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') do j = 1_pInt, Nchunks_SlipTwin constitutive_titanmod_interactionSlipTwin(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('interaction_twinslip','interactiontwinslip') if (positions(1) < 1_pInt + Nchunks_TwinSlip) & call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') do j = 1_pInt, Nchunks_TwinSlip constitutive_titanmod_interactionTwinSlip(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case ('interaction_twintwin','interactiontwintwin') if (positions(1) < 1_pInt + Nchunks_TwinTwin) & call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') do j = 1_pInt, Nchunks_TwinTwin constitutive_titanmod_interactionTwinTwin(j,instance) = IO_floatValue(line,positions,1_pInt+j) enddo case default call IO_error(210_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_TITANMOD_label//')') 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(constitutive_titanmod_Nslip(:,instance)) <= 0_pInt) & call IO_error(211_pInt,el=instance,ext_msg='nslip ('//PLASTICITY_TITANMOD_label//')') if (sum(constitutive_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 (constitutive_titanmod_Nslip(f,instance) > 0_pInt) then if (constitutive_titanmod_rho_edge0(f,instance) < 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='rho_edge0 ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_rho_screw0(f,instance) < 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='rho_screw0 ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_burgersPerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='slipburgers ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_f0_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='f0 ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_tau0e_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='tau0e ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_tau0s_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='tau0s ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_capre_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='capre ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_caprs_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='caprs ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_v0e_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='v0e ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_v0s_PerSlipFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='v0s ('//PLASTICITY_TITANMOD_label//')') if (constitutive_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 (constitutive_titanmod_Ntwin(f,instance) > 0_pInt) then if (constitutive_titanmod_burgersPerTwinFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='twinburgers ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_twinf0_PerTwinFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='twinf0 ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_twinshearconstant_PerTwinFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='twinshearconstant ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_twintau0_PerTwinFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='twintau0 ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_twingamma0_PerTwinFam(f,instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='twingamma0 ('//PLASTICITY_TITANMOD_label//')') endif enddo if (constitutive_titanmod_dc(instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='dc ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_twinhpconstant(instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='twinhpconstant ('//PLASTICITY_TITANMOD_label//')') if (constitutive_titanmod_aTolRho(instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='aTolRho ('//PLASTICITY_TITANMOD_label//')') !-------------------------------------------------------------------------------------------------- ! determine total number of active slip or twin systems constitutive_titanmod_Nslip(:,instance) = min(lattice_NslipSystem(:,phase),constitutive_titanmod_Nslip(:,instance)) constitutive_titanmod_Ntwin(:,instance) = min(lattice_NtwinSystem(:,phase),constitutive_titanmod_Ntwin(:,instance)) constitutive_titanmod_totalNslip(instance) = sum(constitutive_titanmod_Nslip(:,instance)) constitutive_titanmod_totalNtwin(instance) = sum(constitutive_titanmod_Ntwin(:,instance)) endif myPhase enddo sanityChecks !-------------------------------------------------------------------------------------------------- ! 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_burgersPerSlipSys(maxTotalNslip, maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_f0_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_tau0e_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_tau0s_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_capre_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_caprs_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_pe_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_ps_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_qe_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_qs_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_v0e_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_v0s_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_kinkcriticallength_PerSlipSys(maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_CeLambdaSlipPerSlipSys(maxTotalNslip, maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_CsLambdaSlipPerSlipSys(maxTotalNslip, maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_burgersPerTwinSys(maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinf0_PerTwinSys(maxTotalNTwin,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinshearconstant_PerTwinSys(maxTotalNTwin,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twintau0_PerTwinSys(maxTotalNTwin,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinp_PerTwinSys(maxTotalNTwin,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinq_PerTwinSys(maxTotalNTwin,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twingamma0_PerTwinSys(maxTotalNTwin,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinsizePerTwinSys(maxTotalNtwin, maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_twinLambdaSlipPerTwinSys(maxTotalNtwin, maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_Ctwin66 (6,6,maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_Ctwin3333 (3,3,3,3,maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interactionMatrixSlipSlip(maxTotalNslip,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interactionMatrix_ee(maxTotalNslip,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interactionMatrix_ss(maxTotalNslip,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interactionMatrix_es(maxTotalNslip,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interactionMatrixSlipTwin(maxTotalNslip,maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interactionMatrixTwinSlip(maxTotalNtwin,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_interactionMatrixTwinTwin(maxTotalNtwin,maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_forestProjectionEdge(maxTotalNslip,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_forestProjectionScrew(maxTotalNslip,maxTotalNslip,maxNinstance), source=0.0_pReal) allocate(constitutive_titanmod_TwinforestProjectionEdge(maxTotalNtwin,maxTotalNtwin,maxNinstance), source=0.0_pReal) allocate(constitutive_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,constitutive_titanmod_Nslip(f,instance) l = l + 1_pInt constitutive_titanmod_slipFamily(l,instance) = f constitutive_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,constitutive_titanmod_Ntwin(f,instance) l = l + 1_pInt constitutive_titanmod_twinFamily(l,instance) = f constitutive_titanmod_twinSystemLattice(l,instance) = sum(lattice_NtwinSystem(1:f-1_pInt,phase)) + t enddo; enddo !-------------------------------------------------------------------------------------------------- ! determine size of state array ns = constitutive_titanmod_totalNslip(instance) nt = constitutive_titanmod_totalNtwin(instance) constitutive_titanmod_sizeDotState(instance) = & size(constitutive_titanmod_listBasicSlipStates)*ns + & size(constitutive_titanmod_listBasicTwinStates)*nt constitutive_titanmod_sizeState(instance) = & constitutive_titanmod_sizeDotState(instance)+ & size(constitutive_titanmod_listDependentSlipStates)*ns + & size(constitutive_titanmod_listDependentTwinStates)*nt !-------------------------------------------------------------------------------------------------- ! determine size of postResults array outputsLoop: do o = 1_pInt,constitutive_titanmod_Noutput(instance) mySize = 0_pInt select case(constitutive_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 = constitutive_titanmod_totalNslip(instance) case(twin_fraction_ID) mySize = constitutive_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=constitutive_titanmod_output(o,instance)// & ' ('//PLASTICITY_TITANMOD_label//')') end select outputFound: if (mySize > 0_pInt) then constitutive_titanmod_sizePostResult(o,instance) = mySize constitutive_titanmod_sizePostResults(instance) = constitutive_titanmod_sizePostResults(instance) + mySize endif outputFound enddo outputsLoop !-------------------------------------------------------------------------------------------------- ! construction of the twin elasticity matrices do j=1_pInt,lattice_maxNtwinFamily do k=1_pInt,constitutive_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 constitutive_titanmod_Ctwin3333(l,m,n,o,sum(constitutive_titanmod_Nslip(1:j-1_pInt,instance))+k,instance) = & constitutive_titanmod_Ctwin3333(l,m,n,o,sum(constitutive_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 constitutive_titanmod_Ctwin66(1:6,1:6,k,instance) = & math_Mandel3333to66(constitutive_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,constitutive_titanmod_totalNslip(instance) f = constitutive_titanmod_slipFamily(s,instance) constitutive_titanmod_burgersPerSlipSys(s,instance) = & constitutive_titanmod_burgersPerSlipFam(f,instance) constitutive_titanmod_f0_PerSlipSys(s,instance) = & constitutive_titanmod_f0_PerSlipFam(f,instance) constitutive_titanmod_tau0e_PerSlipSys(s,instance) = & constitutive_titanmod_tau0e_PerSlipFam(f,instance) constitutive_titanmod_tau0s_PerSlipSys(s,instance) = & constitutive_titanmod_tau0s_PerSlipFam(f,instance) constitutive_titanmod_capre_PerSlipSys(s,instance) = & constitutive_titanmod_capre_PerSlipFam(f,instance) constitutive_titanmod_caprs_PerSlipSys(s,instance) = & constitutive_titanmod_caprs_PerSlipFam(f,instance) constitutive_titanmod_v0e_PerSlipSys(s,instance) = & constitutive_titanmod_v0e_PerSlipFam(f,instance) constitutive_titanmod_v0s_PerSlipSys(s,instance) = & constitutive_titanmod_v0s_PerSlipFam(f,instance) constitutive_titanmod_kinkcriticallength_PerSlipSys(s,instance) = & constitutive_titanmod_kinkcriticallength_PerSlipFam(f,instance) constitutive_titanmod_pe_PerSlipSys(s,instance) = & constitutive_titanmod_pe_PerSlipFam(f,instance) constitutive_titanmod_ps_PerSlipSys(s,instance) = & constitutive_titanmod_ps_PerSlipFam(f,instance) constitutive_titanmod_qe_PerSlipSys(s,instance) = & constitutive_titanmod_qe_PerSlipFam(f,instance) constitutive_titanmod_qs_PerSlipSys(s,instance) = & constitutive_titanmod_qs_PerSlipFam(f,instance) constitutive_titanmod_CeLambdaSlipPerSlipSys(s,instance) = & constitutive_titanmod_CeLambdaSlipPerSlipFam(f,instance) constitutive_titanmod_CsLambdaSlipPerSlipSys(s,instance) = & constitutive_titanmod_CsLambdaSlipPerSlipFam(f,instance) enddo !-------------------------------------------------------------------------------------------------- ! Burgers vector, nucleation rate prefactor and twin size for each twin system do t = 1_pInt,constitutive_titanmod_totalNtwin(instance) f = constitutive_titanmod_twinFamily(t,instance) constitutive_titanmod_burgersPerTwinSys(t,instance) = & constitutive_titanmod_burgersPerTwinFam(f,instance) constitutive_titanmod_twinsizePerTwinSys(t,instance) = & constitutive_titanmod_twinsizePerTwinFam(f,instance) constitutive_titanmod_twinf0_PerTwinSys(t,instance) = & constitutive_titanmod_twinf0_PerTwinFam(f,instance) constitutive_titanmod_twinshearconstant_PerTwinSys(t,instance) = & constitutive_titanmod_twinshearconstant_PerTwinFam(f,instance) constitutive_titanmod_twintau0_PerTwinSys(t,instance) = & constitutive_titanmod_twintau0_PerTwinFam(f,instance) constitutive_titanmod_twingamma0_PerTwinSys(t,instance) = & constitutive_titanmod_twingamma0_PerTwinFam(f,instance) constitutive_titanmod_twinp_PerTwinSys(t,instance) = & constitutive_titanmod_twinp_PerTwinFam(f,instance) constitutive_titanmod_twinq_PerTwinSys(t,instance) = & constitutive_titanmod_twinq_PerTwinFam(f,instance) constitutive_titanmod_twinLambdaSlipPerTwinSys(t,instance) = & constitutive_titanmod_twinLambdaSlipPerTwinFam(f,instance) enddo !-------------------------------------------------------------------------------------------------- ! Construction of interaction matrices do s1 = 1_pInt,constitutive_titanmod_totalNslip(instance) do s2 = 1_pInt,constitutive_titanmod_totalNslip(instance) constitutive_titanmod_interactionMatrixSlipSlip(s1,s2,instance) = & constitutive_titanmod_interactionSlipSlip(lattice_interactionSlipSlip( & constitutive_titanmod_slipSystemLattice(s1,instance),& constitutive_titanmod_slipSystemLattice(s2,instance),phase),instance) constitutive_titanmod_interactionMatrix_ee(s1,s2,instance) = & constitutive_titanmod_interaction_ee(lattice_interactionSlipSlip ( & constitutive_titanmod_slipSystemLattice(s1,instance), & constitutive_titanmod_slipSystemLattice(s2,instance), phase),instance) constitutive_titanmod_interactionMatrix_ss(s1,s2,instance) = & constitutive_titanmod_interaction_ss(lattice_interactionSlipSlip( & constitutive_titanmod_slipSystemLattice(s1,instance), & constitutive_titanmod_slipSystemLattice(s2,instance), phase),instance) constitutive_titanmod_interactionMatrix_es(s1,s2,instance) = & constitutive_titanmod_interaction_es(lattice_interactionSlipSlip( & constitutive_titanmod_slipSystemLattice(s1,instance), & constitutive_titanmod_slipSystemLattice(s2,instance), phase),instance) enddo; enddo do s1 = 1_pInt,constitutive_titanmod_totalNslip(instance) do t2 = 1_pInt,constitutive_titanmod_totalNtwin(instance) constitutive_titanmod_interactionMatrixSlipTwin(s1,t2,instance) = & constitutive_titanmod_interactionSlipTwin(lattice_interactionSlipTwin( & constitutive_titanmod_slipSystemLattice(s1,instance), & constitutive_titanmod_twinSystemLattice(t2,instance), phase),instance) enddo; enddo do t1 = 1_pInt,constitutive_titanmod_totalNtwin(instance) do s2 = 1_pInt,constitutive_titanmod_totalNslip(instance) constitutive_titanmod_interactionMatrixTwinSlip(t1,s2,instance) = & constitutive_titanmod_interactionTwinSlip(lattice_interactionTwinSlip( & constitutive_titanmod_twinSystemLattice(t1,instance), & constitutive_titanmod_slipSystemLattice(s2,instance), phase),instance) enddo; enddo do t1 = 1_pInt,constitutive_titanmod_totalNtwin(instance) do t2 = 1_pInt,constitutive_titanmod_totalNtwin(instance) constitutive_titanmod_interactionMatrixTwinTwin(t1,t2,instance) = & constitutive_titanmod_interactionTwinTwin(lattice_interactionTwinTwin( & constitutive_titanmod_twinSystemLattice(t1,instance), & constitutive_titanmod_twinSystemLattice(t2,instance), phase),instance) enddo; enddo do s1 = 1_pInt,constitutive_titanmod_totalNslip(instance) do s2 = 1_pInt,constitutive_titanmod_totalNslip(instance) !-------------------------------------------------------------------------------------------------- ! calculation of forest projections for edge dislocations constitutive_titanmod_forestProjectionEdge(s1,s2,instance) = & abs(math_mul3x3(lattice_sn(:,constitutive_titanmod_slipSystemLattice(s1,instance),phase), & lattice_st(:,constitutive_titanmod_slipSystemLattice(s2,instance),phase))) !-------------------------------------------------------------------------------------------------- ! calculation of forest projections for screw dislocations constitutive_titanmod_forestProjectionScrew(s1,s2,instance) = & abs(math_mul3x3(lattice_sn(:,constitutive_titanmod_slipSystemLattice(s1,instance),phase), & lattice_sd(:,constitutive_titanmod_slipSystemLattice(s2,instance),phase))) enddo; enddo !-------------------------------------------------------------------------------------------------- ! calculation of forest projections for edge dislocations in twin system do t1 = 1_pInt,constitutive_titanmod_totalNtwin(instance) do t2 = 1_pInt,constitutive_titanmod_totalNtwin(instance) constitutive_titanmod_TwinforestProjectionEdge(t1,t2,instance) = & abs(math_mul3x3(lattice_tn(:,constitutive_titanmod_twinSystemLattice(t1,instance),phase), & lattice_tt(:,constitutive_titanmod_twinSystemLattice(t2,instance),phase))) !-------------------------------------------------------------------------------------------------- ! calculation of forest projections for screw dislocations in twin system constitutive_titanmod_TwinforestProjectionScrew(t1,t2,instance) = & abs(math_mul3x3(lattice_tn(:,constitutive_titanmod_twinSystemLattice(t1,instance),phase), & lattice_td(:,constitutive_titanmod_twinSystemLattice(t2,instance),phase))) enddo; enddo endif enddo initializeInstances end subroutine constitutive_titanmod_init !-------------------------------------------------------------------------------------------------- !> @brief sets the initial microstructural state for a given instance of this plasticity !-------------------------------------------------------------------------------------------------- pure function constitutive_titanmod_stateInit(instance,phase) use lattice, only: & lattice_maxNslipFamily, & lattice_maxNtwinFamily, & lattice_mu implicit none integer(pInt), intent(in) :: instance !< number specifying the instance of the plasticity integer(pInt), intent(in) :: phase !< number specifying the phase of the plasticity real(pReal), dimension(constitutive_titanmod_sizeState(instance)) :: & constitutive_titanmod_stateInit integer(pInt) :: & s,s0,s1, & t,t0,t1, & ns,nt,f real(pReal), dimension(constitutive_titanmod_totalNslip(instance)) :: & rho_edge0, & rho_screw0, & shear_system0, & segment_edge0, & segment_screw0, & resistance_edge0, & resistance_screw0 real(pReal), dimension(constitutive_titanmod_totalNtwin(instance)) :: & twingamma_dot0, & resistance_twin0 ns = constitutive_titanmod_totalNslip(instance) nt = constitutive_titanmod_totalNtwin(instance) !-------------------------------------------------------------------------------------------------- ! 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,instance) - 1_pInt do s = s0,s1 rho_edge0(s) = constitutive_titanmod_rho_edge0(f,instance) rho_screw0(s) = constitutive_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 + constitutive_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) = constitutive_titanmod_CeLambdaSlipPerSlipSys(s,instance)/ & sqrt(dot_product((rho_edge0),constitutive_titanmod_forestProjectionEdge(1:ns,s,instance))+ & dot_product((rho_screw0),constitutive_titanmod_forestProjectionScrew(1:ns,s,instance))) segment_screw0(s) = constitutive_titanmod_CsLambdaSlipPerSlipSys(s,instance)/ & sqrt(dot_product((rho_edge0),constitutive_titanmod_forestProjectionEdge(1:ns,s,instance))+ & dot_product((rho_screw0),constitutive_titanmod_forestProjectionScrew(1:ns,s,instance))) resistance_edge0(s) = & lattice_mu(phase)*constitutive_titanmod_burgersPerSlipSys(s,instance)* & sqrt(dot_product((rho_edge0),constitutive_titanmod_interactionMatrix_ee(1:ns,s,instance))+ & dot_product((rho_screw0),constitutive_titanmod_interactionMatrix_es(1:ns,s,instance))) resistance_screw0(s) = & lattice_mu(phase)*constitutive_titanmod_burgersPerSlipSys(s,instance)* & sqrt(dot_product((rho_edge0),constitutive_titanmod_interactionMatrix_es(1:ns,s,instance))+ & dot_product((rho_screw0), constitutive_titanmod_interactionMatrix_ss(1:ns,s,instance))) end forall forall (t = 1_pInt:nt) & resistance_twin0(t) = 0.0_pReal constitutive_titanmod_stateInit = 0.0_pReal constitutive_titanmod_stateInit(1:ns) = rho_edge0 constitutive_titanmod_stateInit(1_pInt*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 constitutive_titanmod_stateInit(3_pInt*ns+nt+1_pInt:4_pInt*ns+nt) = segment_edge0 constitutive_titanmod_stateInit(4_pInt*ns+nt+1_pInt:5_pInt*ns+nt) = segment_screw0 constitutive_titanmod_stateInit(5_pInt*ns+nt+1_pInt:6_pInt*ns+nt) = resistance_edge0 constitutive_titanmod_stateInit(6_pInt*ns+nt+1_pInt:7_pInt*ns+nt) = resistance_screw0 constitutive_titanmod_stateInit(7_pInt*ns+nt+1_pInt:7_pInt*ns+2_pInt*nt)=resistance_twin0 end function constitutive_titanmod_stateInit !-------------------------------------------------------------------------------------------------- !> @brief sets the relevant state values for a given instance of this plasticity !-------------------------------------------------------------------------------------------------- pure function constitutive_titanmod_aTolState(instance) implicit none integer(pInt), intent(in) :: instance !< number specifying the instance of the plasticity real(pReal), dimension(constitutive_titanmod_sizeState(instance)) :: & constitutive_titanmod_aTolState constitutive_titanmod_aTolState = constitutive_titanmod_aTolRho(instance) end function constitutive_titanmod_aTolState !-------------------------------------------------------------------------------------------------- !> @brief returns the homogenized elasticity matrix !-------------------------------------------------------------------------------------------------- pure function constitutive_titanmod_homogenizedC(state,ipc,ip,el) use prec, only: & p_vec use mesh, only: & mesh_NcpElems, & mesh_maxNips use material, only: & homogenization_maxNgrains, & material_phase, & phase_plasticityInstance use lattice, only: & lattice_C66 implicit none real(pReal), dimension(6,6) :: & constitutive_titanmod_homogenizedC integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element type(p_vec), intent(in) :: & state !< microstructure state real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & volumefraction_PerTwinSys integer(pInt) :: & phase, & instance, & ns, nt, & i real(pReal) :: & sumf !-------------------------------------------------------------------------------------------------- ! shortened notation phase = material_phase(ipc,ip,el) instance = phase_plasticityInstance(phase) ns = constitutive_titanmod_totalNslip(instance) nt = constitutive_titanmod_totalNtwin(instance) !-------------------------------------------------------------------------------------------------- ! total twin volume fraction do i=1_pInt,nt volumefraction_PerTwinSys(i)=state%p(3_pInt*ns+i)/ & constitutive_titanmod_twinshearconstant_PerTwinSys(i,instance) enddo sumf = sum(abs(volumefraction_PerTwinSys(1:nt))) ! safe for nt == 0 !-------------------------------------------------------------------------------------------------- ! homogenized elasticity matrix constitutive_titanmod_homogenizedC = (1.0_pReal-sumf)*lattice_C66(1:6,1:6,phase) do i=1_pInt,nt constitutive_titanmod_homogenizedC = constitutive_titanmod_homogenizedC & + volumefraction_PerTwinSys(i)*& constitutive_titanmod_Ctwin66(1:6,1:6,i,instance) enddo end function constitutive_titanmod_homogenizedC !-------------------------------------------------------------------------------------------------- !> @brief calculates derived quantities from state !-------------------------------------------------------------------------------------------------- subroutine constitutive_titanmod_microstructure(temperature,state,ipc,ip,el) use prec, only: & p_vec use mesh, only: & mesh_NcpElems, & mesh_maxNips use material, only: & homogenization_maxNgrains, & material_phase,& phase_plasticityInstance 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 type(p_vec), intent(inout) :: & state !< microstructure state integer(pInt) :: & instance, & ns, nt, s, t, & i, phase real(pReal) :: & sumf, & sfe ! stacking fault energy real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & volumefraction_PerTwinSys !-------------------------------------------------------------------------------------------------- !Shortened notation phase = material_phase(ipc,ip,el) instance = phase_plasticityInstance(phase) ns = constitutive_titanmod_totalNslip(instance) nt = constitutive_titanmod_totalNtwin(instance) !-------------------------------------------------------------------------------------------------- ! total twin volume fraction forall (i = 1_pInt:nt) & volumefraction_PerTwinSys(i)=state%p(3_pInt*ns+i)/ & constitutive_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) & state%p(3_pInt*ns+nt+s) = constitutive_titanmod_CeLambdaSlipPerSlipSys(s,instance)/ & sqrt(dot_product(state%p(1:ns), & constitutive_titanmod_forestProjectionEdge(1:ns,s,instance))+ & dot_product(state%p(ns+1_pInt:2_pInt*ns), & constitutive_titanmod_forestProjectionScrew(1:ns,s,instance))) !-------------------------------------------------------------------------------------------------- ! average segment length for screw dislocations in matrix forall (s = 1_pInt:ns) & state%p(4_pInt*ns+nt+s) = constitutive_titanmod_CsLambdaSlipPerSlipSys(s,instance)/ & sqrt(dot_product(state%p(1:ns), & constitutive_titanmod_forestProjectionEdge(1:ns,s,instance))+ & dot_product(state%p(ns+1_pInt:2_pInt*ns), & constitutive_titanmod_forestProjectionScrew(1:ns,s,instance))) !-------------------------------------------------------------------------------------------------- ! threshold stress or slip resistance for edge dislocation motion forall (s = 1_pInt:ns) & state%p(5_pInt*ns+nt+s) = & lattice_mu(phase)*constitutive_titanmod_burgersPerSlipSys(s,instance)*& sqrt(dot_product((state%p(1:ns)),& constitutive_titanmod_interactionMatrix_ee(1:ns,s,instance))+ & dot_product((state%p(ns+1_pInt:2_pInt*ns)),& constitutive_titanmod_interactionMatrix_es(1:ns,s,instance))) !-------------------------------------------------------------------------------------------------- ! threshold stress or slip resistance for screw dislocation motion forall (s = 1_pInt:ns) & state%p(6_pInt*ns+nt+s) = & lattice_mu(phase)*constitutive_titanmod_burgersPerSlipSys(s,instance)*& sqrt(dot_product((state%p(1:ns)),& constitutive_titanmod_interactionMatrix_es(1:ns,s,instance))+ & dot_product((state%p(ns+1_pInt:2_pInt*ns)),& constitutive_titanmod_interactionMatrix_ss(1:ns,s,instance))) !-------------------------------------------------------------------------------------------------- ! threshold stress or slip resistance for dislocation motion in twin forall (t = 1_pInt:nt) & state%p(7_pInt*ns+nt+t) = & lattice_mu(phase)*constitutive_titanmod_burgersPerTwinSys(t,instance)*& (dot_product((abs(state%p(2_pInt*ns+1_pInt:2_pInt*ns+nt))),& constitutive_titanmod_interactionMatrixTwinTwin(1:nt,t,instance))) end subroutine constitutive_titanmod_microstructure !-------------------------------------------------------------------------------------------------- !> @brief calculates plastic velocity gradient and its tangent !-------------------------------------------------------------------------------------------------- subroutine constitutive_titanmod_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,& temperature,state,ipc,ip,el) use prec, only: & p_vec 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 mesh, only: & mesh_NcpElems, & mesh_maxNips use material, only: & homogenization_maxNgrains, & material_phase, & phase_plasticityInstance 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 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), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element type(p_vec), intent(inout) :: & state !< microstructure state integer(pInt) :: & index_myFamily, instance,phase, & ns,nt, & f,i,j,k,l,m,n 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(constitutive_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(constitutive_titanmod_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & gdot_twin,dgdot_dtautwin,tau_twin, volumefraction_PerTwinSys !-------------------------------------------------------------------------------------------------- ! shortened notation phase = material_phase(ipc,ip,el) instance = phase_plasticityInstance(phase) ns = constitutive_titanmod_totalNslip(instance) nt = constitutive_titanmod_totalNtwin(instance) do i=1_pInt,nt volumefraction_PerTwinSys(i)=state%p(3_pInt*ns+i)/ & constitutive_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,phase)) ! at which index starts my family do i = 1_pInt,constitutive_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,phase)) if(lattice_structure(phase)==LATTICE_hex_ID) then ! only for prismatic and pyr systems in hex screwvelocity_prefactor=constitutive_titanmod_debyefrequency(instance)* & state%p(4_pInt*ns+nt+j)*(constitutive_titanmod_burgersPerSlipSys(j,instance)/ & constitutive_titanmod_kinkcriticallength_PerSlipSys(j,instance))**2 !* Stress ratio for screw ! No slip resistance for screw dislocations, only Peierls stress bottomstress_screw=constitutive_titanmod_tau0s_PerSlipSys(j,instance) StressRatio_screw_p = ((abs(tau_slip(j)))/ & ( bottomstress_screw) & )**constitutive_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=constitutive_titanmod_tau0s_PerSlipSys(j,instance) StressRatio_screw_pminus1 = ((abs(tau_slip(j)))/ & ( bottomstress_screw) & )**(constitutive_titanmod_ps_PerSlipSys(j,instance)-1.0_pReal) !* Boltzmann ratio for screw BoltzmannRatioscrew = constitutive_titanmod_kinkf0(instance)/(kB*Temperature) else ! if the structure is not hex or the slip family is basal screwvelocity_prefactor=constitutive_titanmod_v0s_PerSlipSys(j,instance) bottomstress_screw=constitutive_titanmod_tau0s_PerSlipSys(j,instance)+state%p(6*ns+nt+j) StressRatio_screw_p = ((abs(tau_slip(j)))/( bottomstress_screw ))**constitutive_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))** & (constitutive_titanmod_ps_PerSlipSys(j,instance)-1.0_pReal) !* Boltzmann ratio for screw BoltzmannRatioscrew = constitutive_titanmod_f0_PerSlipSys(j,instance)/(kB*Temperature) endif !* Stress ratio for edge bottomstress_edge=constitutive_titanmod_tau0e_PerSlipSys(j,instance)+state%p(5*ns+nt+j) StressRatio_edge_p = ((abs(tau_slip(j)))/ & ( bottomstress_edge) & )**constitutive_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))** & (constitutive_titanmod_pe_PerSlipSys(j,instance)-1.0_pReal) !* Boltzmann ratio for edge. For screws it is defined above BoltzmannRatioedge = constitutive_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)** & constitutive_titanmod_qs_PerSlipSys(j,instance)) edge_velocity(j) =constitutive_titanmod_v0e_PerSlipSys(j,instance)*exp(-BoltzmannRatioedge* & (minusStressRatio_edge_p)** & constitutive_titanmod_qe_PerSlipSys(j,instance)) !* Shear rates due to edge slip gdot_slip_edge(j) = constitutive_titanmod_burgersPerSlipSys(j,instance)*(state%p(j)* & edge_velocity(j))* sign(1.0_pReal,tau_slip(j)) !* Shear rates due to screw slip gdot_slip_screw(j) = constitutive_titanmod_burgersPerSlipSys(j,instance)*(state%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%p(7*ns+2*nt+j)=edge_velocity(j) state%p(8*ns+2*nt+j)=screw_velocity(j) state%p(9*ns+2*nt+j)=tau_slip(j) state%p(10*ns+2*nt+j)=gdot_slip_edge(j) state%p(11*ns+2*nt+j)=gdot_slip_screw(j) state%p(12*ns+2*nt+j)=StressRatio_edge_p state%p(13*ns+2*nt+j)=StressRatio_screw_p !* Derivatives of shear rates dgdot_dtauslip(j) = constitutive_titanmod_burgersPerSlipSys(j,instance)*(( & ( & ( & ( & (edge_velocity(j)*state%p(j))) * & BoltzmannRatioedge*& constitutive_titanmod_pe_PerSlipSys(j,instance)* & constitutive_titanmod_qe_PerSlipSys(j,instance) & )/ & bottomstress_edge & )*& StressRatio_edge_pminus1*(minusStressRatio_edge_p)** & (constitutive_titanmod_qe_PerSlipSys(j,instance)-1.0_pReal) & ) + & ( & ( & ( & (state%p(ns+j) * screw_velocity(j)) * & BoltzmannRatioscrew* & constitutive_titanmod_ps_PerSlipSys(j,instance)* & constitutive_titanmod_qs_PerSlipSys(j,instance) & )/ & bottomstress_screw & )*& StressRatio_screw_pminus1*(minusStressRatio_screw_p)**(constitutive_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,phase) !* 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,phase)*& lattice_Sslip(m,n,1,index_myFamily+i,phase) 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,phase)) ! at which index starts my family do i = 1_pInt,constitutive_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,phase)) !************************************************************************************** !* Stress ratios ! StressRatio_r = (state%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_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!& ! (constitutive_titanmod_MaxTwinFraction(instance)-sumf)*lattice_shearTwin(index_myFamily+i,phase)*& ! state%p(6*ns+4*nt+j)*constitutive_titanmod_Ndot0PerTwinSys(f,instance)*exp(-StressRatio_r) ! dgdot_dtautwin(j) = ((gdot_twin(j)*constitutive_titanmod_r(instance))/tau_twin(j))*StressRatio_r ! endif !************************************************************************************** !* Stress ratio for edge twinStressRatio_p = ((abs(tau_twin(j)))/ & ( constitutive_titanmod_twintau0_PerTwinSys(j,instance)+state%p(7*ns+nt+j)) & )**constitutive_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)))/ & ( constitutive_titanmod_twintau0_PerTwinSys(j,instance)+state%p(7*ns+nt+j)) & )**(constitutive_titanmod_twinp_PerTwinSys(j,instance)-1.0_pReal) !* Boltzmann ratio BoltzmannRatiotwin = constitutive_titanmod_twinf0_PerTwinSys(j,instance)/(kB*Temperature) !* Initial twin shear rates TwinDotGamma0 = & constitutive_titanmod_twingamma0_PerTwinSys(j,instance) !* Shear rates due to twin gdot_twin(j) =sign(1.0_pReal,tau_twin(j))*constitutive_titanmod_twingamma0_PerTwinSys(j,instance)* & exp(-BoltzmannRatiotwin*(twinminusStressRatio_p)**constitutive_titanmod_twinq_PerTwinSys(j,instance)) !* Derivatives of shear rates in twin dgdot_dtautwin(j) = ( & ( & ( & (abs(gdot_twin(j))) * & BoltzmannRatiotwin*& constitutive_titanmod_twinp_PerTwinSys(j,instance)* & constitutive_titanmod_twinq_PerTwinSys(j,instance) & )/ & constitutive_titanmod_twintau0_PerTwinSys(j,instance) & )*& twinStressRatio_pminus1*(twinminusStressRatio_p)** & (constitutive_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,phase) Lp = Lp + gdot_twin(j)*lattice_Stwin(:,:,index_myFamily+i,phase) !* 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,phase)*& lattice_Stwin(m,n,index_myFamily+i,phase) enddo enddo twinFamiliesLoop dLp_dTstar99 = math_Plain3333to99(dLp_dTstar3333) end subroutine constitutive_titanmod_LpAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief calculates the rate of change of microstructure !-------------------------------------------------------------------------------------------------- function constitutive_titanmod_dotState(Tstar_v,temperature,state,ipc,ip,el) use prec, only: & p_vec use lattice, only: & lattice_Stwin_v, & lattice_maxNslipFamily, & lattice_maxNtwinFamily, & lattice_NslipSystem, & lattice_NtwinSystem use mesh, only: & mesh_NcpElems, & mesh_maxNips use material, only: & homogenization_maxNgrains, & material_phase, & phase_plasticityInstance implicit none real(pReal), dimension(6), intent(in):: & Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation real(pReal), intent(in) :: & temperature !< temperature at integration point integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element type(p_vec), intent(in) :: & state !< microstructure state real(pReal), dimension(constitutive_titanmod_sizeDotState(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & constitutive_titanmod_dotState integer(pInt) :: & index_myFamily, instance,phase, & ns,nt,& f,i,j real(pReal) :: & sumf,BoltzmannRatio, & twinStressRatio_p,twinminusStressRatio_p real(pReal), dimension(constitutive_titanmod_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & DotRhoEdgeGeneration, & DotRhoEdgeAnnihilation, & DotRhoScrewGeneration, & DotRhoScrewAnnihilation real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & gdot_twin, & tau_twin, & volumefraction_PerTwinSys !-------------------------------------------------------------------------------------------------- ! shortened notation phase = material_phase(ipc,ip,el) instance = phase_plasticityInstance(phase) ns = constitutive_titanmod_totalNslip(instance) nt = constitutive_titanmod_totalNtwin(instance) do i=1_pInt,nt volumefraction_PerTwinSys(i)=state%p(3_pInt*ns+i)/ & constitutive_titanmod_twinshearconstant_PerTwinSys(i,instance) enddo sumf = sum(abs(volumefraction_PerTwinSys(1_pInt:nt))) ! safe for nt == 0 constitutive_titanmod_dotState = 0.0_pReal j = 0_pInt slipFamiliesLoop: do f = 1_pInt,lattice_maxNslipFamily index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,phase)) ! at which index starts my family do i = 1_pInt,constitutive_titanmod_Nslip(f,instance) ! process each (active) slip system in family j = j+1_pInt DotRhoEdgeGeneration(j) = & ! multiplication of edge dislocations state%p(ns+j)*state%p(8*ns+2*nt+j)/state%p(4*ns+nt+j) DotRhoScrewGeneration(j) = & ! multiplication of screw dislocations state%p(j)*state%p(7*ns+2*nt+j)/state%p(3*ns+nt+j) DotRhoEdgeAnnihilation(j) = -((state%p(j))**2)* & ! annihilation of edge dislocations constitutive_titanmod_capre_PerSlipSys(j,instance)*state%p(7*ns+2*nt+j)*0.5_pReal DotRhoScrewAnnihilation(j) = -((state%p(ns+j))**2)* & ! annihilation of screw dislocations constitutive_titanmod_caprs_PerSlipSys(j,instance)*state%p(8*ns+2*nt+j)*0.5_pReal constitutive_titanmod_dotState(j) = & ! edge dislocation density rate of change DotRhoEdgeGeneration(j)+DotRhoEdgeAnnihilation(j) constitutive_titanmod_dotState(ns+j) = & ! screw dislocation density rate of change DotRhoScrewGeneration(j)+DotRhoScrewAnnihilation(j) constitutive_titanmod_dotState(2*ns+j) = & ! sum of shear due to edge and screw state%p(10*ns+2*nt+j)+state%p(11*ns+2*nt+j) 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,phase)) ! at which index starts my family do i = 1_pInt,constitutive_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,phase)) !* Stress ratio for edge twinStressRatio_p = ((abs(tau_twin(j)))/ & ( constitutive_titanmod_twintau0_PerTwinSys(j,instance)+state%p(7*ns+nt+j)) & )**(constitutive_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 = constitutive_titanmod_twinf0_PerTwinSys(j,instance)/(kB*Temperature) gdot_twin(j) =constitutive_titanmod_twingamma0_PerTwinSys(j,instance)*exp(-BoltzmannRatio* & (twinminusStressRatio_p)** & constitutive_titanmod_twinq_PerTwinSys(j,instance))*sign(1.0_pReal,tau_twin(j)) constitutive_titanmod_dotState(3*ns+j)=gdot_twin(j) enddo enddo twinFamiliesLoop end function constitutive_titanmod_dotState !-------------------------------------------------------------------------------------------------- !> @brief return array of constitutive results !-------------------------------------------------------------------------------------------------- pure function constitutive_titanmod_postResults(state,ipc,ip,el) use prec, only: & p_vec use mesh, only: & mesh_NcpElems, & mesh_maxNips use material, only: & homogenization_maxNgrains, & material_phase, & phase_plasticityInstance, & phase_Noutput implicit none integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element type(p_vec), intent(in) :: & state !< microstructure state real(pReal), dimension(constitutive_titanmod_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & constitutive_titanmod_postResults integer(pInt) :: & instance, phase,& ns,nt,& o,i,c real(pReal) :: sumf real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & volumefraction_PerTwinSys !-------------------------------------------------------------------------------------------------- ! shortened notation phase = material_phase(ipc,ip,el) instance = phase_plasticityInstance(phase) ns = constitutive_titanmod_totalNslip(instance) nt = constitutive_titanmod_totalNtwin(instance) do i=1_pInt,nt volumefraction_PerTwinSys(i)=state%p(3_pInt*ns+i)/ & constitutive_titanmod_twinshearconstant_PerTwinSys(i,instance) enddo sumf = sum(abs(volumefraction_PerTwinSys(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(ipc,ip,el)) select case(constitutive_titanmod_outputID(o,instance)) case (rhoedge_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = state%p(1_pInt:ns) c = c + ns case (rhoscrew_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = state%p(ns+1_pInt:2_pInt*ns) c = c + ns case (segment_edge_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = state%p(3_pInt*ns+nt+1_pInt:4_pInt*ns+nt) c = c + ns case (segment_screw_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = state%p(4_pInt*ns+nt+1_pInt:5_pInt*ns+nt) c = c + ns case (resistance_edge_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = state%p(5_pInt*ns+nt+1_pInt:6_pInt*ns+nt) c = c + ns case (resistance_screw_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = state%p(6_pInt*ns+nt+1_pInt:7_pInt*ns+nt) c = c + ns case (velocity_edge_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = state%p(7*ns+2*nt+1:8*ns+2*nt) c = c + ns case (velocity_screw_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = state%p(8*ns+2*nt+1:9*ns+2*nt) c = c + ns case (tau_slip_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state%p(9*ns+2*nt+1:10*ns+2*nt)) c = c + ns case (gdot_slip_edge_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state%p(10*ns+2*nt+1:11*ns+2*nt)) c = c + ns case (gdot_slip_screw_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state%p(11*ns+2*nt+1:12*ns+2*nt)) c = c + ns case (gdot_slip_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state%p(10*ns+2*nt+1:11*ns+2*nt)) + & abs(state%p(11*ns+2*nt+1:12*ns+2*nt)) c = c + ns case (stressratio_edge_p_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state%p(12*ns+2*nt+1:13*ns+2*nt)) c = c + ns case (stressratio_screw_p_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state%p(13*ns+2*nt+1:14*ns+2*nt)) c = c + ns case (shear_system_ID) constitutive_titanmod_postResults(c+1_pInt:c+ns) = abs(state%p(2*ns+1:3*ns)) c = c + ns case (shear_basal_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(state%p(2*ns+1:2*ns+3))) c = c + 1_pInt case (shear_prism_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(state%p(2*ns+4:2*ns+6))) c = c + 1_pInt case (shear_pyra_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(state%p(2*ns+7:2*ns+12))) c = c + 1_pInt case (shear_pyrca_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(state%p(2*ns+13:2*ns+24))) c = c + 1_pInt case (rhoedge_basal_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state%p(1:3)) c = c + 1_pInt case (rhoedge_prism_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state%p(4:6)) c = c + 1_pInt case (rhoedge_pyra_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state%p(7:12)) c = c + 1_pInt case (rhoedge_pyrca_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state%p(13:24)) c = c + 1_pInt case (rhoscrew_basal_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state%p(ns+1:ns+3)) c = c + 1_pInt case (rhoscrew_prism_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state%p(ns+4:ns+6)) c = c + 1_pInt case (rhoscrew_pyra_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state%p(ns+7:ns+12)) c = c + 1_pInt case (rhoscrew_pyrca_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(state%p(ns+13:ns+24)) c = c + 1_pInt case (shear_total_ID) constitutive_titanmod_postResults(c+1_pInt:c+1_pInt) = sum(abs(state%p(2*ns+1:3*ns))) c = c + 1_pInt case (twin_fraction_ID) constitutive_titanmod_postResults(c+1_pInt:c+nt) = abs(volumefraction_PerTwinSys(1:nt)) c = c + nt end select enddo end function constitutive_titanmod_postResults end module constitutive_titanmod