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!* $Id: constitutive_titanmod.f90 519 2010-03-24 08:17:27Z MPIE\f.roters $
!************************************
!* Module: CONSTITUTIVE *
!************************************
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! Parameters for titanium
! [titanmod]
! constitution titanmod
! (output) rhoedge
! (output) rhoscrew
! (output) velocity_edge
! (output) velocity_screw
! (output) rss_slip
! (output) gamma_dot
! (output) resistance_edge
! (output) resistance_screw
! (output) segment_edge
! (output) segment_screw
! (output) total_generation
! (output) total_annihilation
! (output) total_density
! lattice_structure hex
! covera_ratio 1.587
! c11 162.2e9
! c12 91.8e9
! c13 68.8e9
! c33 180.5e9
! c44 46.7e9
! nslip 3 3 6 0 # per family
! ntwin 0 0 0 0 # per family
! rho_edge0 1.66e9 1.66e9 1.66e9 1.66e9
! rho_screw0 1.66e9 1.66e9 1.66e9 1.66e9
! slipburgers 2.86e-10 2.86e-10 2.86e-10 2.86e-10 # per family
! twinburgers 2.86e-10 2.86e-10 2.86e-10 2.86e-10
! f0 3.0e-19 3.0e-19 3.0e-19 3.0e-19
! v0e 1e-1 10e0 1e0 1e0
! v0s 1e-1 1e0 1e0 1e0
! ndot0 1 1 1 1
! twinsize 1e-05 5e-05 1e-05 1e-05
! celambdaslip 1.0 1.0 1.0 1.0
! cslambdaslip 1.0 1.0 1.0 1.0
! rlengthscrew 1e-6 1e-6 1e-6 1e-6
! grainsize 10e-6
! maxtwinfraction 0.7
! pe 0.61 0.45 0.61 0.61
! ps 0.61 0.45 0.61 0.61
! qe 1.40 1.60 1.40 1.40
! qs 1.40 1.60 1.40 1.40
! rexponent 0.2 0.2 0.2 0.2
! d0 0.2e-5 0.2e-5 0.2e-5 0.2e-5
! qsd 3.0e-19 3.0e-19 3.0e-19 3.0e-19
! cmfptwin 0.5
! cthresholdtwin 0.1
! cedgedipmindistance 50
! catomicvolume 10e-15
! tau0e 20e6 24e6 47e6 47e6 # per family
! tau0s 20e6 24e6 50e6 50e6 # per family
! capre 1.6e-9 5.6e-9 10.6e-9 10.6e-9
! caprs 10.6e-9 110.6e-9 10.6e-9 10.6e-9
! # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
! interactionslipslip 0.15 0.07 0.10 0.10 0.25 0.15 0.15 0.15 0.65 0.15 0.65 0.65 0.65 0.65 0.65 0.15 0.65 0.65 0.65 0.65
! interactionsliptwin 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
! interactiontwinslip 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
! interactiontwintwin 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
! relevantRho 1.e1
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! Parameters for aluminum
! [alumod]
! constitution titanmod
! (output) rhoedge
! (output) rhoscrew
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! (output) velocity_edge
! (output) velocity_screw
! (output) rss_slip
! (output) gamma_dot
! (output) dgdotdtau
! (output) resistance_edge
! (output) resistance_screw
! (output) segment_edge
! (output) segment_screw
! (output) total_generation
! (output) total_annihilation
! (output) total_density
! (output) stressratio_edgep
! (output) stressratio_screwp
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! lattice_structure fcc
! covera_ratio 1.587
! c11 106.75e9
! c12 60.41e9
! c44 28.34e9
! c13 68.8e9
! c33 180.5e9
! nslip 12 0 0 0 # per family
! ntwin 0 0 0 0 # per family
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! rho_edge0 5.56e8 0 0 0
! rho_screw0 5.56e8 0 0 0
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! slipburgers 2.86e-10 0 0 0 # per family
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! twinburgers 2.86e-10 0 0 0
! f0 3.2e-19 0 0 0
! v0e 1e-1 0 0 0
! v0s 1e-1 0 0 0
! ndot0 1 0 0 0
! twinsize 1e-05 0 0 0
! celambdaslip 1.0 0 0 0
! cslambdaslip 1.0 0 0 0
! rlengthscrew 1e-6 1e-6 1e-6 1e-6
! grainsize 10e-6
! maxtwinfraction 0.7
! pe 0.11 0 0 0
! ps 0.11 0 0 0
! qe 1.41 0 0 0
! qs 1.41 0 0 0
! rexponent 0.2 0 0 0
! d0 0.2e-5 0 0 0
! qsd 3.0e-19 0 0 0
! cmfptwin 0.5
! cthresholdtwin 0.1
! cedgedipmindistance 50
! catomicvolume 10e-15
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! tau0e 5e6 0 0 0 # per family
! tau0s 5e6 0 0 0 # per family
! capre 10.6e-9 0 0 0
! caprs 100.0e-9 0 0 0
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! #interactionslipslip 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1
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! interactionslipslip 0.10 0.22 0.30 0.16 0.38 0.45
! # Devincre : 0.122 0.122 0.625 0.07 0.137 0.122
! # Arsenlis : G0=0.10, G1=0.22, G2=0.30, G3=0.38, G4=0.16, G5=0.40
! #G3=glissile, G4=Hirth lock, G5=Lomer-Cottrell lock, G2=cross-slip interaction, G0=same Burgers vector and parallel plane (self interaction)
! #G1=different Burgers vectors but parallel slip planes
! #! Interaction types
! #! 1 --- self interaction, G0
! #! 2 --- coplanar interaction, G1
! #! 3 --- collinear interaction, G2
! #! 4 --- Hirth locks, G3
! #! 5 --- glissile junctions, G4
! #! 6 --- Lomer locks, G5
! interactionsliptwin 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
! interactiontwinslip 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
! interactiontwintwin 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
! relevantRho 1.e1
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MODULE constitutive_titanmod
!* Include other modules
use prec , only : pReal , pInt
implicit none
!* Lists of states and physical parameters
character ( len = * ) , parameter :: constitutive_titanmod_label = 'titanmod'
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character ( len = 18 ) , dimension ( 2 ) , parameter :: constitutive_titanmod_listBasicSlipStates = ( / 'rho_edge' , &
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'rho_screw' / )
character ( len = 18 ) , dimension ( 3 ) , parameter :: constitutive_titanmod_listBasicTwinStates = ( / 'twinrho_edge' , &
'twinrho_screw' , &
'gdot_twin' / )
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character ( len = 18 ) , dimension ( 8 ) , parameter :: constitutive_titanmod_listDependentSlipStates = ( / 'segment_edge' , &
'segment_screw' , &
'resistance_edge' , &
'resistance_screw' , &
'tau_slip' , &
'gdot_slip' , &
'velocity_edge' , &
'velocity_screw' &
/ )
character ( len = 18 ) , dimension ( 8 ) , parameter :: constitutive_titanmod_listDependentTwinStates = ( / 'twin_fraction' , &
'tau_twin' , &
'twinsegment_edge' , &
'twinsegment_screw' , &
'twinresistance_edge' , &
'twinresistance_screw' , &
'twinvelocity_edge' , &
'twinvelocity_screw' &
/ )
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real ( pReal ) , parameter :: kB = 1.38e-23_pReal ! Boltzmann constant in J/Kelvin
!* Definition of global variables
integer ( pInt ) , dimension ( : ) , allocatable :: constitutive_titanmod_sizeDotState , & ! number of dotStates
constitutive_titanmod_sizeState , & ! total number of microstructural state variables
constitutive_titanmod_sizePostResults ! cumulative size of post results
integer ( pInt ) , dimension ( : , : ) , allocatable , target :: constitutive_titanmod_sizePostResult ! size of each post result output
character ( len = 64 ) , dimension ( : , : ) , allocatable , target :: constitutive_titanmod_output ! name of each post result output
character ( len = 32 ) , dimension ( : ) , allocatable :: constitutive_titanmod_structureName ! name of the lattice structure
integer ( pInt ) , dimension ( : ) , allocatable :: constitutive_titanmod_structure , & ! number representing the kind of lattice structure
constitutive_titanmod_totalNslip , & ! total number of active slip systems for each instance
constitutive_titanmod_totalNtwin ! total number of active twin systems for each instance
integer ( pInt ) , dimension ( : , : ) , allocatable :: constitutive_titanmod_Nslip , & ! number of active slip systems for each family and instance
constitutive_titanmod_Ntwin , & ! number of active twin systems for each family and instance
constitutive_titanmod_slipFamily , & ! lookup table relating active slip system to slip family for each instance
constitutive_titanmod_twinFamily , & ! lookup table relating active twin system to twin family for each instance
constitutive_titanmod_slipSystemLattice , & ! lookup table relating active slip system index to lattice slip system index for each instance
constitutive_titanmod_twinSystemLattice ! lookup table relating active twin system index to lattice twin system index for each instance
real ( pReal ) , dimension ( : ) , allocatable :: constitutive_titanmod_CoverA , & ! c/a ratio for hex type lattice
constitutive_titanmod_C11 , & ! C11 element in elasticity matrix
constitutive_titanmod_C12 , & ! C12 element in elasticity matrix
constitutive_titanmod_C13 , & ! C13 element in elasticity matrix
constitutive_titanmod_C33 , & ! C33 element in elasticity matrix
constitutive_titanmod_C44 , & ! C44 element in elasticity matrix
constitutive_titanmod_Gmod , & ! shear modulus
constitutive_titanmod_CAtomicVolume , & ! atomic volume in Bugers vector unit
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constitutive_titanmod_dc , & ! prefactor for self-diffusion coefficient
constitutive_titanmod_twinhpconstant , & ! activation energy for dislocation climb
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constitutive_titanmod_GrainSize , & ! grain size - Not being used
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constitutive_titanmod_MaxTwinFraction , & ! maximum allowed total twin volume fraction
constitutive_titanmod_r , & ! r-exponent in twin nucleation rate
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constitutive_titanmod_CEdgeDipMinDistance , & ! Not being used
constitutive_titanmod_Cmfptwin , & ! Not being used
constitutive_titanmod_Cthresholdtwin , & ! Not being used
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constitutive_titanmod_relevantRho ! dislocation density considered relevant
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real ( pReal ) , dimension ( : , : , : ) , allocatable :: constitutive_titanmod_Cslip_66 ! elasticity matrix in Mandel notation for each instance
real ( pReal ) , dimension ( : , : , : , : ) , allocatable :: constitutive_titanmod_Ctwin_66 ! twin elasticity matrix in Mandel notation for each instance
real ( pReal ) , dimension ( : , : , : , : , : ) , allocatable :: constitutive_titanmod_Cslip_3333 ! elasticity matrix for each instance
real ( pReal ) , dimension ( : , : , : , : , : , : ) , allocatable :: constitutive_titanmod_Ctwin_3333 ! twin elasticity matrix for each instance
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real ( pReal ) , dimension ( : , : ) , allocatable :: constitutive_titanmod_rho_edge0 , & ! initial edge dislocation density per slip system for each family and instance
constitutive_titanmod_rho_screw0 , & ! initial screw dislocation density per slip system for each family and instance
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constitutive_titanmod_twinrho_edge0 , & ! initial edge dislocation density per twin system for each family and instance
constitutive_titanmod_twinrho_screw0 , & ! initial screw dislocation density per twin system for each family and instance
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constitutive_titanmod_burgersPerSlipFamily , & ! absolute length of burgers vector [m] for each slip family and instance
constitutive_titanmod_burgersPerSlipSystem , & ! absolute length of burgers vector [m] for each slip system and instance
constitutive_titanmod_burgersPerTwinFamily , & ! absolute length of burgers vector [m] for each twin family and instance
constitutive_titanmod_burgersPerTwinSystem , & ! absolute length of burgers vector [m] for each twin system and instance
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constitutive_titanmod_f0_PerSlipFamily , & ! activation energy for glide [J] for each slip family and instance
constitutive_titanmod_f0_PerSlipSystem , & ! activation energy for glide [J] for each slip system and instance
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constitutive_titanmod_twinf0_PerTwinFamily , & ! activation energy for glide [J] for each twin family and instance
constitutive_titanmod_twinf0_PerTwinSystem , & ! activation energy for glide [J] for each twin system and instance
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constitutive_titanmod_twinshearconstant_PerTwinFamily , & ! activation energy for glide [J] for each twin family and instance
constitutive_titanmod_twinshearconstant_PerTwinSystem , & ! activation energy for glide [J] for each twin system and instance
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constitutive_titanmod_tau0e_PerSlipFamily , & ! Initial yield stress for edge dislocations per slip family
constitutive_titanmod_tau0e_PerSlipSystem , & ! Initial yield stress for edge dislocations per slip system
constitutive_titanmod_tau0s_PerSlipFamily , & ! Initial yield stress for screw dislocations per slip family
constitutive_titanmod_tau0s_PerSlipSystem , & ! Initial yield stress for screw dislocations per slip system
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constitutive_titanmod_twintau0e_PerTwinFamily , & ! Initial yield stress for edge dislocations per twin family
constitutive_titanmod_twintau0e_PerTwinSystem , & ! Initial yield stress for edge dislocations per twin system
constitutive_titanmod_twintau0s_PerTwinFamily , & ! Initial yield stress for screw dislocations per twin family
constitutive_titanmod_twintau0s_PerTwinSystem , & ! Initial yield stress for screw dislocations per twin system
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constitutive_titanmod_capre_PerSlipFamily , & ! Capture radii for edge dislocations per slip family
constitutive_titanmod_capre_PerSlipSystem , & ! Capture radii for edge dislocations per slip system
constitutive_titanmod_caprs_PerSlipFamily , & ! Capture radii for screw dislocations per slip family
constitutive_titanmod_caprs_PerSlipSystem , & ! Capture radii for screw dislocations per slip system
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constitutive_titanmod_twincapre_PerTwinFamily , & ! Capture radii for edge dislocations per twin family
constitutive_titanmod_twincapre_PerTwinSystem , & ! Capture radii for edge dislocations per twin system
constitutive_titanmod_twincaprs_PerTwinFamily , & ! Capture radii for screw dislocations per twin family
constitutive_titanmod_twincaprs_PerTwinSystem , & ! Capture radii for screw dislocations per twin system
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constitutive_titanmod_pe_PerSlipFamily , & ! p-exponent in glide velocity
constitutive_titanmod_ps_PerSlipFamily , & ! p-exponent in glide velocity
constitutive_titanmod_qe_PerSlipFamily , & ! q-exponent in glide velocity
constitutive_titanmod_qs_PerSlipFamily , & ! q-exponent in glide velocity
constitutive_titanmod_pe_PerSlipSystem , & ! p-exponent in glide velocity
constitutive_titanmod_ps_PerSlipSystem , & ! p-exponent in glide velocity
constitutive_titanmod_qe_PerSlipSystem , & ! q-exponent in glide velocity
constitutive_titanmod_qs_PerSlipSystem , & ! q-exponent in glide velocity
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constitutive_titanmod_twinpe_PerTwinFamily , & ! p-exponent in glide velocity
constitutive_titanmod_twinps_PerTwinFamily , & ! p-exponent in glide velocity
constitutive_titanmod_twinqe_PerTwinFamily , & ! q-exponent in glide velocity
constitutive_titanmod_twinqs_PerTwinFamily , & ! q-exponent in glide velocity
constitutive_titanmod_twinpe_PerTwinSystem , & ! p-exponent in glide velocity
constitutive_titanmod_twinps_PerTwinSystem , & ! p-exponent in glide velocity
constitutive_titanmod_twinqe_PerTwinSystem , & ! q-exponent in glide velocity
constitutive_titanmod_twinqs_PerTwinSystem , & ! q-exponent in glide velocity
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constitutive_titanmod_v0e_PerSlipFamily , & ! edge dislocation velocity prefactor [m/s] for each family and instance
constitutive_titanmod_v0e_PerSlipSystem , & ! screw dislocation velocity prefactor [m/s] for each slip system and instance
constitutive_titanmod_v0s_PerSlipFamily , & ! edge dislocation velocity prefactor [m/s] for each family and instance
constitutive_titanmod_v0s_PerSlipSystem , & ! screw dislocation velocity prefactor [m/s] for each slip system and instance
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constitutive_titanmod_twinv0e_PerTwinFamily , & ! edge dislocation velocity prefactor [m/s] for each family and instance
constitutive_titanmod_twinv0e_PerTwinSystem , & ! screw dislocation velocity prefactor [m/s] for each slip system and instance
constitutive_titanmod_twinv0s_PerTwinFamily , & ! edge dislocation velocity prefactor [m/s] for each family and instance
constitutive_titanmod_twinv0s_PerTwinSystem , & ! screw dislocation velocity prefactor [m/s] for each slip system and instance
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constitutive_titanmod_rlengthscrew_PerSlipFamily , & ! screw dislocation mobility prefactor for kink-pairs per slip family
constitutive_titanmod_rlengthscrew_PerSlipSystem , & ! screw dislocation mobility prefactor for kink-pairs per slip system
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constitutive_titanmod_Ndot0PerTwinFamily , & ! twin nucleation rate [1/m³s] for each twin family and instance
constitutive_titanmod_Ndot0PerTwinSystem , & ! twin nucleation rate [1/m³s] for each twin system and instance
constitutive_titanmod_twinsizePerTwinFamily , & ! twin thickness [m] for each twin family and instance
constitutive_titanmod_twinsizePerTwinSystem , & ! twin thickness [m] for each twin system and instance
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constitutive_titanmod_CeLambdaSlipPerSlipFamily , & ! Adj. parameter for distance between 2 forest dislocations for each slip family and instance
constitutive_titanmod_CeLambdaSlipPerSlipSystem , & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance
constitutive_titanmod_CsLambdaSlipPerSlipFamily , & ! Adj. parameter for distance between 2 forest dislocations for each slip family and instance
constitutive_titanmod_CsLambdaSlipPerSlipSystem , & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance
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constitutive_titanmod_twinCeLambdaSlipPerTwinFamily , & ! Adj. parameter for distance between 2 forest dislocations for each slip family and instance
constitutive_titanmod_twinCeLambdaSlipPerTwinSystem , & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance
constitutive_titanmod_twinCsLambdaSlipPerTwinFamily , & ! Adj. parameter for distance between 2 forest dislocations for each slip family and instance
constitutive_titanmod_twinCsLambdaSlipPerTwinSystem , & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance
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constitutive_titanmod_interactionSlipSlip , & ! coefficients for slip-slip interaction for each interaction type and instance
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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
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constitutive_titanmod_interactionTwinSlip , & ! coefficients for twin-slip interaction for each interaction type and instance
constitutive_titanmod_interactionTwinTwin ! coefficients for twin-twin interaction for each interaction type and instance
real ( pReal ) , dimension ( : , : , : ) , allocatable :: constitutive_titanmod_interactionMatrixSlipSlip , & ! interaction matrix of the different slip systems for each instance
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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
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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
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constitutive_titanmod_forestProjectionEdge , & ! matrix of forest projections of edge dislocations for each instance
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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
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CONTAINS
!****************************************
!* - constitutive_titanmod_init
!* - constitutive_titanmod_stateInit
!* - constitutive_titanmod_relevantState
!* - constitutive_titanmod_homogenizedC
!* - constitutive_titanmod_microstructure
!* - constitutive_titanmod_LpAndItsTangent
!* - consistutive_titanmod_dotState
!* - constitutive_titanmod_dotTemperature
!* - consistutive_titanmod_postResults
!****************************************
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subroutine constitutive_titanmod_init ( file )
!**************************************
!* Module initialization *
!**************************************
use prec , only : pInt , pReal
use math , only : math_Mandel3333to66 , math_Voigt66to3333 , math_mul3x3
use IO
use material
use lattice
!* Input variables
integer ( pInt ) , intent ( in ) :: file
!* Local variables
integer ( pInt ) , parameter :: maxNchunks = 21
integer ( pInt ) , dimension ( 1 + 2 * maxNchunks ) :: positions
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integer ( pInt ) section , maxNinstance , f , i , j , k , l , m , n , o , p , q , r , s , s1 , s2 , t1 , t2 , ns , nt , output , mySize , myStructure , maxTotalNslip , &
maxTotalNtwin
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character ( len = 64 ) tag
character ( len = 1024 ) line
!write(6,*)
!write(6,'(a20,a20,a12)') '<<<+- constitutive_',constitutive_titanmod_label,' init -+>>>'
!write(6,*) '$Id: constitutive_titanmod.f90 519 2010-03-24 08:17:27Z MPIE\f.roters $'
!write(6,*)
maxNinstance = count ( phase_constitution == constitutive_titanmod_label )
if ( maxNinstance == 0 ) return
!* Space allocation for global variables
allocate ( constitutive_titanmod_sizeDotState ( maxNinstance ) )
allocate ( constitutive_titanmod_sizeState ( maxNinstance ) )
allocate ( constitutive_titanmod_sizePostResults ( maxNinstance ) )
allocate ( constitutive_titanmod_sizePostResult ( maxval ( phase_Noutput ) , maxNinstance ) )
allocate ( constitutive_titanmod_output ( maxval ( phase_Noutput ) , maxNinstance ) )
constitutive_titanmod_sizeDotState = 0_pInt
constitutive_titanmod_sizeState = 0_pInt
constitutive_titanmod_sizePostResults = 0_pInt
constitutive_titanmod_sizePostResult = 0_pInt
constitutive_titanmod_output = ''
allocate ( constitutive_titanmod_structureName ( maxNinstance ) )
allocate ( constitutive_titanmod_structure ( maxNinstance ) )
allocate ( constitutive_titanmod_Nslip ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_Ntwin ( lattice_maxNtwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_slipFamily ( lattice_maxNslip , maxNinstance ) )
allocate ( constitutive_titanmod_twinFamily ( lattice_maxNtwin , maxNinstance ) )
allocate ( constitutive_titanmod_slipSystemLattice ( lattice_maxNslip , maxNinstance ) )
allocate ( constitutive_titanmod_twinSystemLattice ( lattice_maxNtwin , maxNinstance ) )
allocate ( constitutive_titanmod_totalNslip ( maxNinstance ) )
allocate ( constitutive_titanmod_totalNtwin ( maxNinstance ) )
constitutive_titanmod_structureName = ''
constitutive_titanmod_structure = 0_pInt
constitutive_titanmod_Nslip = 0_pInt
constitutive_titanmod_Ntwin = 0_pInt
constitutive_titanmod_slipFamily = 0_pInt
constitutive_titanmod_twinFamily = 0_pInt
constitutive_titanmod_slipSystemLattice = 0.0_pReal
constitutive_titanmod_twinSystemLattice = 0.0_pReal
constitutive_titanmod_totalNslip = 0_pInt
constitutive_titanmod_totalNtwin = 0_pInt
allocate ( constitutive_titanmod_CoverA ( maxNinstance ) )
allocate ( constitutive_titanmod_C11 ( maxNinstance ) )
allocate ( constitutive_titanmod_C12 ( maxNinstance ) )
allocate ( constitutive_titanmod_C13 ( maxNinstance ) )
allocate ( constitutive_titanmod_C33 ( maxNinstance ) )
allocate ( constitutive_titanmod_C44 ( maxNinstance ) )
allocate ( constitutive_titanmod_Gmod ( maxNinstance ) )
allocate ( constitutive_titanmod_CAtomicVolume ( maxNinstance ) )
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allocate ( constitutive_titanmod_dc ( maxNinstance ) )
allocate ( constitutive_titanmod_twinhpconstant ( maxNinstance ) )
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allocate ( constitutive_titanmod_GrainSize ( maxNinstance ) )
allocate ( constitutive_titanmod_MaxTwinFraction ( maxNinstance ) )
allocate ( constitutive_titanmod_r ( maxNinstance ) )
allocate ( constitutive_titanmod_CEdgeDipMinDistance ( maxNinstance ) )
allocate ( constitutive_titanmod_Cmfptwin ( maxNinstance ) )
allocate ( constitutive_titanmod_Cthresholdtwin ( maxNinstance ) )
allocate ( constitutive_titanmod_relevantRho ( maxNinstance ) )
allocate ( constitutive_titanmod_Cslip_66 ( 6 , 6 , maxNinstance ) )
allocate ( constitutive_titanmod_Cslip_3333 ( 3 , 3 , 3 , 3 , maxNinstance ) )
constitutive_titanmod_CoverA = 0.0_pReal
constitutive_titanmod_C11 = 0.0_pReal
constitutive_titanmod_C12 = 0.0_pReal
constitutive_titanmod_C13 = 0.0_pReal
constitutive_titanmod_C33 = 0.0_pReal
constitutive_titanmod_C44 = 0.0_pReal
constitutive_titanmod_Gmod = 0.0_pReal
constitutive_titanmod_CAtomicVolume = 0.0_pReal
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constitutive_titanmod_dc = 0.0_pReal
constitutive_titanmod_twinhpconstant = 0.0_pReal
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constitutive_titanmod_GrainSize = 0.0_pReal
constitutive_titanmod_MaxTwinFraction = 0.0_pReal
constitutive_titanmod_r = 0.0_pReal
constitutive_titanmod_CEdgeDipMinDistance = 0.0_pReal
constitutive_titanmod_Cmfptwin = 0.0_pReal
constitutive_titanmod_Cthresholdtwin = 0.0_pReal
constitutive_titanmod_relevantRho = 0.0_pReal
constitutive_titanmod_Cslip_66 = 0.0_pReal
constitutive_titanmod_Cslip_3333 = 0.0_pReal
allocate ( constitutive_titanmod_rho_edge0 ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_rho_screw0 ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_burgersPerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_burgersPerTwinFamily ( lattice_maxNtwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_f0_PerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_tau0e_PerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_tau0s_PerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_capre_PerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_caprs_PerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_pe_PerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_ps_PerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_qe_PerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_qs_PerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_v0e_PerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_v0s_PerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
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allocate ( constitutive_titanmod_rlengthscrew_PerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
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allocate ( constitutive_titanmod_Ndot0PerTwinFamily ( lattice_maxNtwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twinsizePerTwinFamily ( lattice_maxNtwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_CeLambdaSlipPerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
allocate ( constitutive_titanmod_CsLambdaSlipPerSlipFamily ( lattice_maxNslipFamily , maxNinstance ) )
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allocate ( constitutive_titanmod_twinrho_edge0 ( lattice_maxNtwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twinrho_screw0 ( lattice_maxNtwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twinf0_PerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
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allocate ( constitutive_titanmod_twinshearconstant_PerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
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allocate ( constitutive_titanmod_twintau0e_PerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twintau0s_PerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twincapre_PerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twincaprs_PerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twinpe_PerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twinps_PerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twinqe_PerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twinqs_PerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twinv0e_PerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twinv0s_PerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twinCeLambdaSlipPerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
allocate ( constitutive_titanmod_twinCsLambdaSlipPerTwinFamily ( lattice_maxNTwinFamily , maxNinstance ) )
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constitutive_titanmod_rho_edge0 = 0.0_pReal
constitutive_titanmod_rho_screw0 = 0.0_pReal
constitutive_titanmod_burgersPerSlipFamily = 0.0_pReal
constitutive_titanmod_burgersPerTwinFamily = 0.0_pReal
constitutive_titanmod_f0_PerSlipFamily = 0.0_pReal
constitutive_titanmod_tau0e_PerSlipFamily = 0.0_pReal
constitutive_titanmod_tau0s_PerSlipFamily = 0.0_pReal
constitutive_titanmod_capre_PerSlipFamily = 0.0_pReal
constitutive_titanmod_caprs_PerSlipFamily = 0.0_pReal
constitutive_titanmod_v0e_PerSlipFamily = 0.0_pReal
constitutive_titanmod_v0s_PerSlipFamily = 0.0_pReal
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constitutive_titanmod_rlengthscrew_PerSlipFamily = 0.0_pReal
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constitutive_titanmod_Ndot0PerTwinFamily = 0.0_pReal
constitutive_titanmod_twinsizePerTwinFamily = 0.0_pReal
constitutive_titanmod_CeLambdaSlipPerSlipFamily = 0.0_pReal
constitutive_titanmod_CsLambdaSlipPerSlipFamily = 0.0_pReal
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constitutive_titanmod_pe_PerSlipFamily = 0.0_pReal
constitutive_titanmod_ps_PerSlipFamily = 0.0_pReal
constitutive_titanmod_qe_PerSlipFamily = 0.0_pReal
constitutive_titanmod_qs_PerSlipFamily = 0.0_pReal
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constitutive_titanmod_twinrho_edge0 = 0.0_pReal
constitutive_titanmod_twinrho_screw0 = 0.0_pReal
constitutive_titanmod_twinf0_PerTwinFamily = 0.0_pReal
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constitutive_titanmod_twinshearconstant_PerTwinFamily = 0.0_pReal
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constitutive_titanmod_twintau0e_PerTwinFamily = 0.0_pReal
constitutive_titanmod_twintau0s_PerTwinFamily = 0.0_pReal
constitutive_titanmod_twincapre_PerTwinFamily = 0.0_pReal
constitutive_titanmod_twincaprs_PerTwinFamily = 0.0_pReal
constitutive_titanmod_twinv0e_PerTwinFamily = 0.0_pReal
constitutive_titanmod_twinv0s_PerTwinFamily = 0.0_pReal
constitutive_titanmod_twinCeLambdaSlipPerTwinFamily = 0.0_pReal
constitutive_titanmod_twinCsLambdaSlipPerTwinFamily = 0.0_pReal
constitutive_titanmod_twinpe_PerTwinFamily = 0.0_pReal
constitutive_titanmod_twinps_PerTwinFamily = 0.0_pReal
constitutive_titanmod_twinqe_PerTwinFamily = 0.0_pReal
constitutive_titanmod_twinqs_PerTwinFamily = 0.0_pReal
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allocate ( constitutive_titanmod_interactionSlipSlip ( lattice_maxNinteraction , maxNinstance ) )
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allocate ( constitutive_titanmod_interaction_ee ( lattice_maxNinteraction , maxNinstance ) )
allocate ( constitutive_titanmod_interaction_ss ( lattice_maxNinteraction , maxNinstance ) )
allocate ( constitutive_titanmod_interaction_es ( lattice_maxNinteraction , maxNinstance ) )
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allocate ( constitutive_titanmod_interactionSlipTwin ( lattice_maxNinteraction , maxNinstance ) )
allocate ( constitutive_titanmod_interactionTwinSlip ( lattice_maxNinteraction , maxNinstance ) )
allocate ( constitutive_titanmod_interactionTwinTwin ( lattice_maxNinteraction , maxNinstance ) )
constitutive_titanmod_interactionSlipSlip = 0.0_pReal
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constitutive_titanmod_interaction_ee = 0.0_pReal
constitutive_titanmod_interaction_ss = 0.0_pReal
constitutive_titanmod_interaction_ss = 0.0_pReal
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constitutive_titanmod_interactionSlipTwin = 0.0_pReal
constitutive_titanmod_interactionTwinSlip = 0.0_pReal
constitutive_titanmod_interactionTwinTwin = 0.0_pReal
!* Readout data from material.config file
rewind ( file )
line = ''
section = 0
write ( 6 , * ) 'Reading material parameters from material config file'
do while ( IO_lc ( IO_getTag ( line , '<' , '>' ) ) / = 'phase' ) ! wind forward to <phase>
read ( file , '(a1024)' , END = 100 ) line
enddo
do ! read thru sections of phase part
read ( file , '(a1024)' , END = 100 ) line
if ( IO_isBlank ( line ) ) cycle ! skip empty lines
if ( IO_getTag ( line , '<' , '>' ) / = '' ) exit ! stop at next part
if ( IO_getTag ( line , '[' , ']' ) / = '' ) then ! next section
section = section + 1
output = 0 ! reset output counter
endif
if ( section > 0 . and . phase_constitution ( section ) == constitutive_titanmod_label ) then ! one of my sections
i = phase_constitutionInstance ( section ) ! which instance of my constitution is present phase
positions = IO_stringPos ( line , maxNchunks )
tag = IO_lc ( IO_stringValue ( line , positions , 1 ) ) ! extract key
select case ( tag )
case ( '(output)' )
output = output + 1
constitutive_titanmod_output ( output , i ) = IO_lc ( IO_stringValue ( line , positions , 2 ) )
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write ( 6 , * ) tag
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case ( 'lattice_structure' )
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constitutive_titanmod_structureName ( i ) = IO_lc ( IO_stringValue ( line , positions , 2 ) )
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write ( 6 , * ) tag
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case ( 'covera_ratio' )
constitutive_titanmod_CoverA ( i ) = IO_floatValue ( line , positions , 2 )
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write ( 6 , * ) tag
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case ( 'c11' )
constitutive_titanmod_C11 ( i ) = IO_floatValue ( line , positions , 2 )
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write ( 6 , * ) tag , constitutive_titanmod_C11 ( i )
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case ( 'c12' )
constitutive_titanmod_C12 ( i ) = IO_floatValue ( line , positions , 2 )
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write ( 6 , * ) tag , constitutive_titanmod_C12 ( i )
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case ( 'c13' )
constitutive_titanmod_C13 ( i ) = IO_floatValue ( line , positions , 2 )
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write ( 6 , * ) tag , constitutive_titanmod_C13 ( i )
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case ( 'c33' )
constitutive_titanmod_C33 ( i ) = IO_floatValue ( line , positions , 2 )
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write ( 6 , * ) tag , constitutive_titanmod_C33 ( i )
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case ( 'c44' )
constitutive_titanmod_C44 ( i ) = IO_floatValue ( line , positions , 2 )
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write ( 6 , * ) tag , constitutive_titanmod_C44 ( i )
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case ( 'nslip' )
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forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_Nslip ( j , i ) = IO_intValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_Nslip ( 1 , i ) , constitutive_titanmod_Nslip ( 2 , i ) , constitutive_titanmod_Nslip ( 3 , i ) , &
constitutive_titanmod_Nslip ( 4 , i )
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case ( 'ntwin' )
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forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_Ntwin ( j , i ) = IO_intValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_Ntwin ( 1 , i ) , constitutive_titanmod_Ntwin ( 2 , i ) , constitutive_titanmod_Ntwin ( 3 , i ) , &
constitutive_titanmod_Ntwin ( 4 , i )
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case ( 'rho_edge0' )
forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_rho_edge0 ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag , constitutive_titanmod_rho_edge0 ( 1 , i ) , constitutive_titanmod_rho_edge0 ( 2 , i ) , &
constitutive_titanmod_rho_edge0 ( 3 , i ) , constitutive_titanmod_rho_edge0 ( 4 , i )
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case ( 'rho_screw0' )
forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_rho_screw0 ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag , constitutive_titanmod_rho_screw0 ( 1 , i ) , constitutive_titanmod_rho_screw0 ( 2 , i ) , &
constitutive_titanmod_rho_screw0 ( 3 , i ) , constitutive_titanmod_rho_screw0 ( 4 , i )
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case ( 'twinrho_edge0' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twinrho_edge0 ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twinrho_edge0 ( 1 , i ) , constitutive_titanmod_twinrho_edge0 ( 2 , i ) , &
constitutive_titanmod_twinrho_edge0 ( 3 , i ) , constitutive_titanmod_twinrho_edge0 ( 4 , i )
case ( 'twinrho_screw0' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twinrho_screw0 ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twinrho_screw0 ( 1 , i ) , constitutive_titanmod_twinrho_screw0 ( 2 , i ) , &
constitutive_titanmod_twinrho_screw0 ( 3 , i ) , constitutive_titanmod_twinrho_screw0 ( 4 , i )
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case ( 'slipburgers' )
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forall ( j = 1 : lattice_maxNslipFamily ) &
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constitutive_titanmod_burgersPerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag , constitutive_titanmod_burgersPerSlipFamily ( 1 , i ) , constitutive_titanmod_burgersPerSlipFamily ( 2 , i ) , &
constitutive_titanmod_burgersPerSlipFamily ( 3 , i ) , constitutive_titanmod_burgersPerSlipFamily ( 4 , i )
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case ( 'twinburgers' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_burgersPerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag
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case ( 'f0' )
forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_f0_PerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag , constitutive_titanmod_f0_PerSlipFamily ( 1 , i ) , constitutive_titanmod_f0_PerSlipFamily ( 2 , i ) , &
constitutive_titanmod_f0_PerSlipFamily ( 3 , i ) , constitutive_titanmod_f0_PerSlipFamily ( 4 , i )
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case ( 'twinf0' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twinf0_PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twinf0_PerTwinFamily ( 1 , i ) , constitutive_titanmod_twinf0_PerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twinf0_PerTwinFamily ( 3 , i ) , constitutive_titanmod_twinf0_PerTwinFamily ( 4 , i )
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case ( 'tau0e' )
forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_tau0e_PerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag , constitutive_titanmod_tau0e_PerSlipFamily ( 1 , i ) , constitutive_titanmod_tau0e_PerSlipFamily ( 2 , i ) , &
constitutive_titanmod_tau0e_PerSlipFamily ( 3 , i ) , constitutive_titanmod_tau0e_PerSlipFamily ( 4 , i )
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case ( 'twintau0e' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twintau0e_PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twintau0e_PerTwinFamily ( 1 , i ) , constitutive_titanmod_twintau0e_PerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twintau0e_PerTwinFamily ( 3 , i ) , constitutive_titanmod_twintau0e_PerTwinFamily ( 4 , i )
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case ( 'tau0s' )
forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_tau0s_PerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag , constitutive_titanmod_tau0s_PerSlipFamily ( 1 , i ) , constitutive_titanmod_tau0s_PerSlipFamily ( 2 , i ) , &
constitutive_titanmod_tau0s_PerSlipFamily ( 3 , i ) , constitutive_titanmod_tau0s_PerSlipFamily ( 4 , i )
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case ( 'twintau0s' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twintau0s_PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twintau0s_PerTwinFamily ( 1 , i ) , constitutive_titanmod_twintau0s_PerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twintau0s_PerTwinFamily ( 3 , i ) , constitutive_titanmod_twintau0s_PerTwinFamily ( 4 , i )
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case ( 'capre' )
forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_capre_PerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag , constitutive_titanmod_capre_PerSlipFamily ( 1 , i ) , constitutive_titanmod_capre_PerSlipFamily ( 2 , i ) , &
constitutive_titanmod_capre_PerSlipFamily ( 3 , i ) , constitutive_titanmod_capre_PerSlipFamily ( 4 , i )
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case ( 'twincapre' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twincapre_PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twincapre_PerTwinFamily ( 1 , i ) , constitutive_titanmod_twincapre_PerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twincapre_PerTwinFamily ( 3 , i ) , constitutive_titanmod_twincapre_PerTwinFamily ( 4 , i )
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case ( 'caprs' )
forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_caprs_PerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag , constitutive_titanmod_caprs_PerSlipFamily ( 1 , i ) , constitutive_titanmod_caprs_PerSlipFamily ( 2 , i ) , &
constitutive_titanmod_caprs_PerSlipFamily ( 3 , i ) , constitutive_titanmod_caprs_PerSlipFamily ( 4 , i )
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case ( 'twincaprs' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twincaprs_PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twincaprs_PerTwinFamily ( 1 , i ) , constitutive_titanmod_twincaprs_PerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twincaprs_PerTwinFamily ( 3 , i ) , constitutive_titanmod_twincaprs_PerTwinFamily ( 4 , i )
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case ( 'v0e' )
forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_v0e_PerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag , constitutive_titanmod_v0e_PerSlipFamily ( 1 , i ) , constitutive_titanmod_v0e_PerSlipFamily ( 2 , i ) , &
constitutive_titanmod_v0e_PerSlipFamily ( 3 , i ) , constitutive_titanmod_v0e_PerSlipFamily ( 4 , i )
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case ( 'twinv0e' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twinv0e_PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twinv0e_PerTwinFamily ( 1 , i ) , constitutive_titanmod_twinv0e_PerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twinv0e_PerTwinFamily ( 3 , i ) , constitutive_titanmod_twinv0e_PerTwinFamily ( 4 , i )
2010-07-13 13:49:25 +05:30
case ( 'v0s' )
forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_v0s_PerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag , constitutive_titanmod_v0s_PerSlipFamily ( 1 , i ) , constitutive_titanmod_v0s_PerSlipFamily ( 2 , i ) , &
constitutive_titanmod_v0s_PerSlipFamily ( 3 , i ) , constitutive_titanmod_v0s_PerSlipFamily ( 4 , i )
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case ( 'twinv0s' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twinv0s_PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twinv0s_PerTwinFamily ( 1 , i ) , constitutive_titanmod_twinv0s_PerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twinv0s_PerTwinFamily ( 3 , i ) , constitutive_titanmod_twinv0s_PerTwinFamily ( 4 , i )
2010-08-06 21:23:45 +05:30
case ( 'rlengthscrew' )
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forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_rlengthscrew_PerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_rlengthscrew_PerSlipFamily ( 1 , i ) , &
constitutive_titanmod_rlengthscrew_PerSlipFamily ( 2 , i ) , &
constitutive_titanmod_rlengthscrew_PerSlipFamily ( 3 , i ) , constitutive_titanmod_rlengthscrew_PerSlipFamily ( 4 , i )
2010-07-13 13:49:25 +05:30
case ( 'ndot0' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_Ndot0PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag
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case ( 'twinsize' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twinsizePerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag
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case ( 'celambdaslip' )
forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_CeLambdaSlipPerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag
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case ( 'twincelambdaslip' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twincelambdaslipPerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twincelambdaslipPerTwinFamily ( 1 , i ) , constitutive_titanmod_twincelambdaslipPerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twincelambdaslipPerTwinFamily ( 3 , i ) , constitutive_titanmod_twincelambdaslipPerTwinFamily ( 4 , i )
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case ( 'cslambdaslip' )
forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_CsLambdaSlipPerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag
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case ( 'twincslambdaslip' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twincslambdaslipPerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twincslambdaslipPerTwinFamily ( 1 , i ) , constitutive_titanmod_twincslambdaslipPerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twincslambdaslipPerTwinFamily ( 3 , i ) , constitutive_titanmod_twincslambdaslipPerTwinFamily ( 4 , i )
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case ( 'grainsize' )
constitutive_titanmod_GrainSize ( i ) = IO_floatValue ( line , positions , 2 )
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write ( 6 , * ) tag
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case ( 'maxtwinfraction' )
constitutive_titanmod_MaxTwinFraction ( i ) = IO_floatValue ( line , positions , 2 )
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write ( 6 , * ) tag
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case ( 'pe' )
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forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_pe_PerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 2 )
write ( 6 , * ) tag , constitutive_titanmod_pe_PerSlipFamily ( 1 , i ) , constitutive_titanmod_pe_PerSlipFamily ( 2 , i ) , &
constitutive_titanmod_pe_PerSlipFamily ( 3 , i ) , constitutive_titanmod_pe_PerSlipFamily ( 4 , i ) , i
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case ( 'twinpe' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twinpe_PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twinpe_PerTwinFamily ( 1 , i ) , constitutive_titanmod_twinpe_PerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twinpe_PerTwinFamily ( 3 , i ) , constitutive_titanmod_twinpe_PerTwinFamily ( 4 , i )
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case ( 'ps' )
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forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_ps_PerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 2 )
write ( 6 , * ) tag , constitutive_titanmod_ps_PerSlipFamily ( 1 , i ) , constitutive_titanmod_ps_PerSlipFamily ( 2 , i ) , &
constitutive_titanmod_ps_PerSlipFamily ( 3 , i ) , constitutive_titanmod_ps_PerSlipFamily ( 4 , i ) , i
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case ( 'twinps' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twinps_PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twinps_PerTwinFamily ( 1 , i ) , constitutive_titanmod_twinps_PerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twinps_PerTwinFamily ( 3 , i ) , constitutive_titanmod_twinps_PerTwinFamily ( 4 , i )
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case ( 'qe' )
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forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_qe_PerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 2 )
write ( 6 , * ) tag , constitutive_titanmod_qe_PerSlipFamily ( 1 , i ) , constitutive_titanmod_qe_PerSlipFamily ( 2 , i ) , &
constitutive_titanmod_qe_PerSlipFamily ( 3 , i ) , constitutive_titanmod_qe_PerSlipFamily ( 4 , i ) , i
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case ( 'twinqe' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
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constitutive_titanmod_twinqe_PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag , constitutive_titanmod_twinqe_PerTwinFamily ( 1 , i ) , constitutive_titanmod_twinqe_PerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twinqe_PerTwinFamily ( 3 , i ) , constitutive_titanmod_twinqe_PerTwinFamily ( 4 , i )
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case ( 'qs' )
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forall ( j = 1 : lattice_maxNslipFamily ) &
constitutive_titanmod_qs_PerSlipFamily ( j , i ) = IO_floatValue ( line , positions , 2 )
write ( 6 , * ) tag , constitutive_titanmod_qs_PerSlipFamily ( 1 , i ) , constitutive_titanmod_qs_PerSlipFamily ( 2 , i ) , &
constitutive_titanmod_qs_PerSlipFamily ( 3 , i ) , constitutive_titanmod_qs_PerSlipFamily ( 4 , i ) , i
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case ( 'twinqs' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twinqs_PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twinqs_PerTwinFamily ( 1 , i ) , constitutive_titanmod_twinqs_PerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twinqs_PerTwinFamily ( 3 , i ) , constitutive_titanmod_twinqs_PerTwinFamily ( 4 , i )
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case ( 'twinshearconstant' )
forall ( j = 1 : lattice_maxNtwinFamily ) &
constitutive_titanmod_twinshearconstant_PerTwinFamily ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag , constitutive_titanmod_twinshearconstant_PerTwinFamily ( 1 , i ) , &
constitutive_titanmod_twinshearconstant_PerTwinFamily ( 2 , i ) , &
constitutive_titanmod_twinshearconstant_PerTwinFamily ( 3 , i ) , &
constitutive_titanmod_twinshearconstant_PerTwinFamily ( 4 , i )
case ( 'dc' )
constitutive_titanmod_dc ( i ) = IO_floatValue ( line , positions , 2 )
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write ( 6 , * ) tag
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case ( 'twinhpconstant' )
constitutive_titanmod_twinhpconstant ( i ) = IO_floatValue ( line , positions , 2 )
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write ( 6 , * ) tag
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case ( 'relevantrho' )
constitutive_titanmod_relevantRho ( i ) = IO_floatValue ( line , positions , 2 )
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write ( 6 , * ) tag
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case ( 'interactionslipslip' )
forall ( j = 1 : lattice_maxNinteraction ) &
constitutive_titanmod_interactionSlipSlip ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag
case ( 'interactionee' )
forall ( j = 1 : lattice_maxNinteraction ) &
constitutive_titanmod_interaction_ee ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag
case ( 'interactionss' )
forall ( j = 1 : lattice_maxNinteraction ) &
constitutive_titanmod_interaction_ss ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag
case ( 'interactiones' )
forall ( j = 1 : lattice_maxNinteraction ) &
constitutive_titanmod_interaction_es ( j , i ) = IO_floatValue ( line , positions , 1 + j )
write ( 6 , * ) tag
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case ( 'interactionsliptwin' )
forall ( j = 1 : lattice_maxNinteraction ) &
constitutive_titanmod_interactionSlipTwin ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag
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case ( 'interactiontwinslip' )
forall ( j = 1 : lattice_maxNinteraction ) &
constitutive_titanmod_interactionTwinSlip ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag
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case ( 'interactiontwintwin' )
forall ( j = 1 : lattice_maxNinteraction ) &
constitutive_titanmod_interactionTwinTwin ( j , i ) = IO_floatValue ( line , positions , 1 + j )
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write ( 6 , * ) tag
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end select
endif
enddo
write ( 6 , * ) 'Material Property reading done'
100 do i = 1 , maxNinstance
constitutive_titanmod_structure ( i ) = &
lattice_initializeStructure ( constitutive_titanmod_structureName ( i ) , constitutive_titanmod_CoverA ( i ) )
myStructure = constitutive_titanmod_structure ( i )
!* Sanity checks
if ( myStructure < 1 . or . myStructure > 3 ) call IO_error ( 205 )
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if ( sum ( constitutive_titanmod_Nslip ( : , i ) ) < = 0_pInt ) call IO_error ( 207 )
if ( sum ( constitutive_titanmod_Ntwin ( : , i ) ) < 0_pInt ) call IO_error ( 208 ) !***
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do f = 1 , lattice_maxNslipFamily
if ( constitutive_titanmod_Nslip ( f , i ) > 0_pInt ) then
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if ( constitutive_titanmod_rho_edge0 ( f , i ) < 0.0_pReal ) call IO_error ( 209 )
if ( constitutive_titanmod_rho_screw0 ( f , i ) < 0.0_pReal ) call IO_error ( 210 )
if ( constitutive_titanmod_burgersPerSlipFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 211 )
if ( constitutive_titanmod_f0_PerSlipFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 212 )
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if ( constitutive_titanmod_tau0e_PerSlipFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 229 )
if ( constitutive_titanmod_tau0s_PerSlipFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 233 )
if ( constitutive_titanmod_capre_PerSlipFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 234 )
if ( constitutive_titanmod_caprs_PerSlipFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 235 )
if ( constitutive_titanmod_v0e_PerSlipFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 226 )
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if ( constitutive_titanmod_v0s_PerSlipFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 226 )
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if ( constitutive_titanmod_rlengthscrew_PerSlipFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 238 )
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endif
enddo
do f = 1 , lattice_maxNtwinFamily
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if ( constitutive_titanmod_Ntwin ( f , i ) > 0_pInt ) then
if ( constitutive_titanmod_twinrho_edge0 ( f , i ) < 0.0_pReal ) call IO_error ( 209 )
if ( constitutive_titanmod_twinrho_screw0 ( f , i ) < 0.0_pReal ) call IO_error ( 210 )
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if ( constitutive_titanmod_burgersPerTwinFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 221 ) !***
if ( constitutive_titanmod_Ndot0PerTwinFamily ( f , i ) < 0.0_pReal ) call IO_error ( 226 ) !***
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if ( constitutive_titanmod_twinf0_PerTwinFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 228 )
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if ( constitutive_titanmod_twinshearconstant_PerTwinFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 228 )
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if ( constitutive_titanmod_twintau0e_PerTwinFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 229 )
if ( constitutive_titanmod_twintau0s_PerTwinFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 233 )
if ( constitutive_titanmod_twincapre_PerTwinFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 234 )
if ( constitutive_titanmod_twincaprs_PerTwinFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 235 )
if ( constitutive_titanmod_twinv0e_PerTwinFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 226 )
if ( constitutive_titanmod_twinv0s_PerTwinFamily ( f , i ) < = 0.0_pReal ) call IO_error ( 226 )
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endif
enddo
! if (any(constitutive_titanmod_interactionSlipSlip(1:maxval(lattice_interactionSlipSlip(:,:,myStructure)),i) < 1.0_pReal)) call IO_error(229)
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! if (constitutive_titanmod_CAtomicVolume(i) <= 0.0_pReal) call IO_error(230)
if ( constitutive_titanmod_dc ( i ) < = 0.0_pReal ) call IO_error ( 231 )
if ( constitutive_titanmod_twinhpconstant ( i ) < = 0.0_pReal ) call IO_error ( 232 )
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if ( constitutive_titanmod_relevantRho ( i ) < = 0.0_pReal ) call IO_error ( 233 )
!* Determine total number of active slip or twin systems
constitutive_titanmod_Nslip ( : , i ) = min ( lattice_NslipSystem ( : , myStructure ) , constitutive_titanmod_Nslip ( : , i ) )
constitutive_titanmod_Ntwin ( : , i ) = min ( lattice_NtwinSystem ( : , myStructure ) , constitutive_titanmod_Ntwin ( : , i ) )
constitutive_titanmod_totalNslip ( i ) = sum ( constitutive_titanmod_Nslip ( : , i ) )
constitutive_titanmod_totalNtwin ( i ) = sum ( constitutive_titanmod_Ntwin ( : , i ) )
write ( 6 , * ) 'Sanity Checks done !'
enddo
!* Allocation of variables whose size depends on the total number of active slip systems
maxTotalNslip = maxval ( constitutive_titanmod_totalNslip )
maxTotalNtwin = maxval ( constitutive_titanmod_totalNtwin )
write ( 6 , * ) 'maxTotalNslip' , maxTotalNslip
write ( 6 , * ) 'maxTotalNtwin' , maxTotalNtwin
allocate ( constitutive_titanmod_burgersPerSlipSystem ( maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_burgersPerTwinSystem ( maxTotalNtwin , maxNinstance ) )
allocate ( constitutive_titanmod_f0_PerSlipSystem ( maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_tau0e_PerSlipSystem ( maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_tau0s_PerSlipSystem ( maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_capre_PerSlipSystem ( maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_caprs_PerSlipSystem ( maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_pe_PerSlipSystem ( maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_ps_PerSlipSystem ( maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_qe_PerSlipSystem ( maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_qs_PerSlipSystem ( maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_v0e_PerSlipSystem ( maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_v0s_PerSlipSystem ( maxTotalNslip , maxNinstance ) )
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allocate ( constitutive_titanmod_rlengthscrew_PerSlipSystem ( maxTotalNslip , maxNinstance ) )
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allocate ( constitutive_titanmod_twinf0_PerTwinSystem ( maxTotalNTwin , maxNinstance ) )
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allocate ( constitutive_titanmod_twinshearconstant_PerTwinSystem ( maxTotalNTwin , maxNinstance ) )
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allocate ( constitutive_titanmod_twintau0e_PerTwinSystem ( maxTotalNTwin , maxNinstance ) )
allocate ( constitutive_titanmod_twintau0s_PerTwinSystem ( maxTotalNTwin , maxNinstance ) )
allocate ( constitutive_titanmod_twincapre_PerTwinSystem ( maxTotalNTwin , maxNinstance ) )
allocate ( constitutive_titanmod_twincaprs_PerTwinSystem ( maxTotalNTwin , maxNinstance ) )
allocate ( constitutive_titanmod_twinpe_PerTwinSystem ( maxTotalNTwin , maxNinstance ) )
allocate ( constitutive_titanmod_twinps_PerTwinSystem ( maxTotalNTwin , maxNinstance ) )
allocate ( constitutive_titanmod_twinqe_PerTwinSystem ( maxTotalNTwin , maxNinstance ) )
allocate ( constitutive_titanmod_twinqs_PerTwinSystem ( maxTotalNTwin , maxNinstance ) )
allocate ( constitutive_titanmod_twinv0e_PerTwinSystem ( maxTotalNTwin , maxNinstance ) )
allocate ( constitutive_titanmod_twinv0s_PerTwinSystem ( maxTotalNTwin , maxNinstance ) )
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allocate ( constitutive_titanmod_Ndot0PerTwinSystem ( maxTotalNtwin , maxNinstance ) )
allocate ( constitutive_titanmod_twinsizePerTwinSystem ( maxTotalNtwin , maxNinstance ) )
allocate ( constitutive_titanmod_CeLambdaSlipPerSlipSystem ( maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_CsLambdaSlipPerSlipSystem ( maxTotalNslip , maxNinstance ) )
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allocate ( constitutive_titanmod_twinCeLambdaSlipPerTwinSystem ( maxTotalNtwin , maxNinstance ) )
allocate ( constitutive_titanmod_twinCsLambdaSlipPerTwinSystem ( maxTotalNtwin , maxNinstance ) )
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constitutive_titanmod_burgersPerSlipSystem = 0.0_pReal
constitutive_titanmod_burgersPerTwinSystem = 0.0_pReal
constitutive_titanmod_f0_PerSlipSystem = 0.0_pReal
constitutive_titanmod_tau0e_PerSlipSystem = 0.0_pReal
constitutive_titanmod_tau0s_PerSlipSystem = 0.0_pReal
constitutive_titanmod_capre_PerSlipSystem = 0.0_pReal
constitutive_titanmod_caprs_PerSlipSystem = 0.0_pReal
constitutive_titanmod_v0e_PerSlipSystem = 0.0_pReal
constitutive_titanmod_v0s_PerSlipSystem = 0.0_pReal
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constitutive_titanmod_rlengthscrew_PerSlipSystem = 0.0_pReal
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constitutive_titanmod_pe_PerSlipSystem = 0.0_pReal
constitutive_titanmod_ps_PerSlipSystem = 0.0_pReal
constitutive_titanmod_qe_PerSlipSystem = 0.0_pReal
constitutive_titanmod_qs_PerSlipSystem = 0.0_pReal
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constitutive_titanmod_twinf0_PerTwinSystem = 0.0_pReal
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constitutive_titanmod_twinshearconstant_PerTwinSystem = 0.0_pReal
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constitutive_titanmod_twintau0e_PerTwinSystem = 0.0_pReal
constitutive_titanmod_twintau0s_PerTwinSystem = 0.0_pReal
constitutive_titanmod_twincapre_PerTwinSystem = 0.0_pReal
constitutive_titanmod_twincaprs_PerTwinSystem = 0.0_pReal
constitutive_titanmod_twinv0e_PerTwinSystem = 0.0_pReal
constitutive_titanmod_twinv0s_PerTwinSystem = 0.0_pReal
constitutive_titanmod_twinpe_PerTwinSystem = 0.0_pReal
constitutive_titanmod_twinps_PerTwinSystem = 0.0_pReal
constitutive_titanmod_twinqe_PerTwinSystem = 0.0_pReal
constitutive_titanmod_twinqs_PerTwinSystem = 0.0_pReal
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constitutive_titanmod_Ndot0PerTwinSystem = 0.0_pReal
constitutive_titanmod_twinsizePerTwinSystem = 0.0_pReal
constitutive_titanmod_CeLambdaSlipPerSlipSystem = 0.0_pReal
constitutive_titanmod_CsLambdaSlipPerSlipSystem = 0.0_pReal
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constitutive_titanmod_twinCeLambdaSlipPerTwinSystem = 0.0_pReal
constitutive_titanmod_twinCsLambdaSlipPerTwinSystem = 0.0_pReal
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allocate ( constitutive_titanmod_interactionMatrixSlipSlip ( maxTotalNslip , maxTotalNslip , maxNinstance ) )
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allocate ( constitutive_titanmod_interactionMatrix_ee ( maxTotalNslip , maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_interactionMatrix_ss ( maxTotalNslip , maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_interactionMatrix_es ( maxTotalNslip , maxTotalNslip , maxNinstance ) )
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allocate ( constitutive_titanmod_interactionMatrixSlipTwin ( maxTotalNslip , maxTotalNtwin , maxNinstance ) )
allocate ( constitutive_titanmod_interactionMatrixTwinSlip ( maxTotalNtwin , maxTotalNslip , maxNinstance ) )
allocate ( constitutive_titanmod_interactionMatrixTwinTwin ( maxTotalNtwin , maxTotalNtwin , maxNinstance ) )
allocate ( constitutive_titanmod_forestProjectionEdge ( maxTotalNslip , maxTotalNslip , maxNinstance ) )
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allocate ( constitutive_titanmod_forestProjectionScrew ( maxTotalNslip , maxTotalNslip , maxNinstance ) )
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allocate ( constitutive_titanmod_TwinforestProjectionEdge ( maxTotalNtwin , maxTotalNtwin , maxNinstance ) )
allocate ( constitutive_titanmod_TwinforestProjectionScrew ( maxTotalNtwin , maxTotalNtwin , maxNinstance ) )
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constitutive_titanmod_interactionMatrixSlipSlip = 0.0_pReal
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constitutive_titanmod_interactionMatrix_ee = 0.0_pReal
constitutive_titanmod_interactionMatrix_ss = 0.0_pReal
constitutive_titanmod_interactionMatrix_es = 0.0_pReal
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constitutive_titanmod_interactionMatrixSlipTwin = 0.0_pReal
constitutive_titanmod_interactionMatrixTwinSlip = 0.0_pReal
constitutive_titanmod_interactionMatrixTwinTwin = 0.0_pReal
constitutive_titanmod_forestProjectionEdge = 0.0_pReal
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constitutive_titanmod_forestProjectionScrew = 0.0_pReal
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constitutive_titanmod_TwinforestProjectionEdge = 0.0_pReal
constitutive_titanmod_TwinforestProjectionScrew = 0.0_pReal
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allocate ( constitutive_titanmod_Ctwin_66 ( 6 , 6 , maxTotalNtwin , maxNinstance ) )
allocate ( constitutive_titanmod_Ctwin_3333 ( 3 , 3 , 3 , 3 , maxTotalNtwin , maxNinstance ) )
constitutive_titanmod_Ctwin_66 = 0.0_pReal
constitutive_titanmod_Ctwin_3333 = 0.0_pReal
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write ( 6 , * ) 'Allocated slip system variables'
do i = 1 , maxNinstance
myStructure = constitutive_titanmod_structure ( i )
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!* Inverse lookup of slip system family
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l = 0_pInt
do f = 1 , lattice_maxNslipFamily
do k = 1 , constitutive_titanmod_Nslip ( f , i )
l = l + 1
constitutive_titanmod_slipFamily ( l , i ) = f
constitutive_titanmod_slipSystemLattice ( l , i ) = sum ( lattice_NslipSystem ( 1 : f - 1 , myStructure ) ) + k
enddo ; enddo
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!* Inverse lookup of twin system family
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l = 0_pInt
do f = 1 , lattice_maxNtwinFamily
do k = 1 , constitutive_titanmod_Ntwin ( f , i )
l = l + 1
constitutive_titanmod_twinFamily ( l , i ) = f
constitutive_titanmod_twinSystemLattice ( l , i ) = sum ( lattice_NtwinSystem ( 1 : f - 1 , myStructure ) ) + k
enddo ; enddo
!* Determine size of state array
ns = constitutive_titanmod_totalNslip ( i )
nt = constitutive_titanmod_totalNtwin ( i )
constitutive_titanmod_sizeDotState ( i ) = &
size ( constitutive_titanmod_listBasicSlipStates ) * ns + size ( constitutive_titanmod_listBasicTwinStates ) * nt
constitutive_titanmod_sizeState ( i ) = &
constitutive_titanmod_sizeDotState ( i ) + &
size ( constitutive_titanmod_listDependentSlipStates ) * ns + size ( constitutive_titanmod_listDependentTwinStates ) * nt
write ( 6 , * ) 'Determined size of state and dot state'
!* Determine size of postResults array
do o = 1 , maxval ( phase_Noutput )
select case ( constitutive_titanmod_output ( o , i ) )
case ( 'rhoedge' , &
'rhoscrew' , &
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'segment_edge' , &
'segment_screw' , &
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'resistance_edge' , &
'resistance_screw' , &
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'tau_slip' , &
'gdot_slip' , &
'velocity_edge' , &
'velocity_screw' , &
'total_density' &
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)
mySize = constitutive_titanmod_totalNslip ( i )
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case ( 'twinrhoedge' , &
'twinrhoscrew' , &
'twin_fraction' , &
'gdot_twin' , &
'tau_twin' , &
'twinsegment_edge' , &
'twinsegment_screw' , &
'twinresistance_edge' , &
'twinresistance_screw' , &
'twinvelocity_edge' , &
'twinvelocity_screw' , &
'twintotal_density' &
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)
mySize = constitutive_titanmod_totalNtwin ( i )
case default
mySize = 0_pInt
end select
if ( mySize > 0_pInt ) then ! any meaningful output found
constitutive_titanmod_sizePostResult ( o , i ) = mySize
constitutive_titanmod_sizePostResults ( i ) = constitutive_titanmod_sizePostResults ( i ) + mySize
endif
enddo
write ( 6 , * ) 'Determining elasticity matrix'
!* Elasticity matrix and shear modulus according to material.config
select case ( myStructure )
case ( 1 : 2 ) ! cubic(s)
forall ( k = 1 : 3 )
forall ( j = 1 : 3 ) &
constitutive_titanmod_Cslip_66 ( k , j , i ) = constitutive_titanmod_C12 ( i )
constitutive_titanmod_Cslip_66 ( k , k , i ) = constitutive_titanmod_C11 ( i )
constitutive_titanmod_Cslip_66 ( k + 3 , k + 3 , i ) = constitutive_titanmod_C44 ( i )
end forall
case ( 3 : ) ! all hex
constitutive_titanmod_Cslip_66 ( 1 , 1 , i ) = constitutive_titanmod_C11 ( i )
constitutive_titanmod_Cslip_66 ( 2 , 2 , i ) = constitutive_titanmod_C11 ( i )
constitutive_titanmod_Cslip_66 ( 3 , 3 , i ) = constitutive_titanmod_C33 ( i )
constitutive_titanmod_Cslip_66 ( 1 , 2 , i ) = constitutive_titanmod_C12 ( i )
constitutive_titanmod_Cslip_66 ( 2 , 1 , i ) = constitutive_titanmod_C12 ( i )
constitutive_titanmod_Cslip_66 ( 1 , 3 , i ) = constitutive_titanmod_C13 ( i )
constitutive_titanmod_Cslip_66 ( 3 , 1 , i ) = constitutive_titanmod_C13 ( i )
constitutive_titanmod_Cslip_66 ( 2 , 3 , i ) = constitutive_titanmod_C13 ( i )
constitutive_titanmod_Cslip_66 ( 3 , 2 , i ) = constitutive_titanmod_C13 ( i )
constitutive_titanmod_Cslip_66 ( 4 , 4 , i ) = constitutive_titanmod_C44 ( i )
constitutive_titanmod_Cslip_66 ( 5 , 5 , i ) = constitutive_titanmod_C44 ( i )
constitutive_titanmod_Cslip_66 ( 6 , 6 , i ) = 0.5_pReal * ( constitutive_titanmod_C11 ( i ) - constitutive_titanmod_C12 ( i ) )
end select
constitutive_titanmod_Cslip_66 ( : , : , i ) = math_Mandel3333to66 ( math_Voigt66to3333 ( constitutive_titanmod_Cslip_66 ( : , : , i ) ) )
constitutive_titanmod_Cslip_3333 ( : , : , : , : , i ) = math_Voigt66to3333 ( constitutive_titanmod_Cslip_66 ( : , : , i ) )
constitutive_titanmod_Gmod ( i ) = &
0.2_pReal * ( constitutive_titanmod_C11 ( i ) - constitutive_titanmod_C12 ( i ) ) + 0.3_pReal * constitutive_titanmod_C44 ( i )
!* Construction of the twin elasticity matrices
do j = 1 , lattice_maxNtwinFamily
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do k = 1 , constitutive_titanmod_Ntwin ( j , i )
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do l = 1 , 3 ; do m = 1 , 3 ; do n = 1 , 3 ; do o = 1 , 3 ; do p = 1 , 3 ; do q = 1 , 3 ; do r = 1 , 3 ; do s = 1 , 3
constitutive_titanmod_Ctwin_3333 ( l , m , n , o , sum ( constitutive_titanmod_Nslip ( 1 : j - 1 , i ) ) + k , i ) = &
constitutive_titanmod_Ctwin_3333 ( l , m , n , o , sum ( constitutive_titanmod_Nslip ( 1 : j - 1 , i ) ) + k , i ) + &
constitutive_titanmod_Cslip_3333 ( p , q , r , s , i ) * &
lattice_Qtwin ( l , p , sum ( lattice_NslipSystem ( 1 : j - 1 , myStructure ) ) + k , myStructure ) * &
lattice_Qtwin ( m , q , sum ( lattice_NslipSystem ( 1 : j - 1 , myStructure ) ) + k , myStructure ) * &
lattice_Qtwin ( n , r , sum ( lattice_NslipSystem ( 1 : j - 1 , myStructure ) ) + k , myStructure ) * &
lattice_Qtwin ( o , s , sum ( lattice_NslipSystem ( 1 : j - 1 , myStructure ) ) + k , myStructure )
enddo ; enddo ; enddo ; enddo ; enddo ; enddo ; enddo ; enddo
constitutive_titanmod_Ctwin_66 ( : , : , k , i ) = math_Mandel3333to66 ( constitutive_titanmod_Ctwin_3333 ( : , : , : , : , k , i ) )
enddo
enddo
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!* Burgers vector, dislocation velocity prefactor for each slip system
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do s = 1 , constitutive_titanmod_totalNslip ( i )
f = constitutive_titanmod_slipFamily ( s , i )
constitutive_titanmod_burgersPerSlipSystem ( s , i ) = constitutive_titanmod_burgersPerSlipFamily ( f , i )
constitutive_titanmod_f0_PerSlipSystem ( s , i ) = constitutive_titanmod_f0_PerSlipFamily ( f , i )
constitutive_titanmod_tau0e_PerSlipSystem ( s , i ) = constitutive_titanmod_tau0e_PerSlipFamily ( f , i )
constitutive_titanmod_tau0s_PerSlipSystem ( s , i ) = constitutive_titanmod_tau0s_PerSlipFamily ( f , i )
constitutive_titanmod_capre_PerSlipSystem ( s , i ) = constitutive_titanmod_capre_PerSlipFamily ( f , i )
constitutive_titanmod_caprs_PerSlipSystem ( s , i ) = constitutive_titanmod_caprs_PerSlipFamily ( f , i )
constitutive_titanmod_v0e_PerSlipSystem ( s , i ) = constitutive_titanmod_v0e_PerSlipFamily ( f , i )
constitutive_titanmod_v0s_PerSlipSystem ( s , i ) = constitutive_titanmod_v0s_PerSlipFamily ( f , i )
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constitutive_titanmod_rlengthscrew_PerSlipSystem ( s , i ) = constitutive_titanmod_rlengthscrew_PerSlipFamily ( f , i )
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constitutive_titanmod_pe_PerSlipSystem ( s , i ) = constitutive_titanmod_pe_PerSlipFamily ( f , i )
constitutive_titanmod_ps_PerSlipSystem ( s , i ) = constitutive_titanmod_ps_PerSlipFamily ( f , i )
constitutive_titanmod_qe_PerSlipSystem ( s , i ) = constitutive_titanmod_qe_PerSlipFamily ( f , i )
constitutive_titanmod_qs_PerSlipSystem ( s , i ) = constitutive_titanmod_qs_PerSlipFamily ( f , i )
constitutive_titanmod_CeLambdaSlipPerSlipSystem ( s , i ) = constitutive_titanmod_CeLambdaSlipPerSlipFamily ( f , i )
constitutive_titanmod_CsLambdaSlipPerSlipSystem ( s , i ) = constitutive_titanmod_CsLambdaSlipPerSlipFamily ( f , i )
enddo
!* Burgers vector, nucleation rate prefactor and twin size for each twin system
do s = 1 , constitutive_titanmod_totalNtwin ( i )
f = constitutive_titanmod_twinFamily ( s , i )
constitutive_titanmod_burgersPerTwinSystem ( s , i ) = constitutive_titanmod_burgersPerTwinFamily ( f , i )
constitutive_titanmod_Ndot0PerTwinSystem ( s , i ) = constitutive_titanmod_Ndot0PerTwinFamily ( f , i )
constitutive_titanmod_twinsizePerTwinSystem ( s , i ) = constitutive_titanmod_twinsizePerTwinFamily ( f , i )
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constitutive_titanmod_twinf0_PerTwinSystem ( s , i ) = constitutive_titanmod_twinf0_PerTwinFamily ( f , i )
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constitutive_titanmod_twinshearconstant_PerTwinSystem ( s , i ) = constitutive_titanmod_twinshearconstant_PerTwinFamily ( f , i )
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constitutive_titanmod_twintau0e_PerTwinSystem ( s , i ) = constitutive_titanmod_twintau0e_PerTwinFamily ( f , i )
constitutive_titanmod_twintau0s_PerTwinSystem ( s , i ) = constitutive_titanmod_twintau0s_PerTwinFamily ( f , i )
constitutive_titanmod_twincapre_PerTwinSystem ( s , i ) = constitutive_titanmod_twincapre_PerTwinFamily ( f , i )
constitutive_titanmod_twincaprs_PerTwinSystem ( s , i ) = constitutive_titanmod_twincaprs_PerTwinFamily ( f , i )
constitutive_titanmod_twinv0e_PerTwinSystem ( s , i ) = constitutive_titanmod_twinv0e_PerTwinFamily ( f , i )
constitutive_titanmod_twinv0s_PerTwinSystem ( s , i ) = constitutive_titanmod_twinv0s_PerTwinFamily ( f , i )
constitutive_titanmod_twinpe_PerTwinSystem ( s , i ) = constitutive_titanmod_twinpe_PerTwinFamily ( f , i )
constitutive_titanmod_twinps_PerTwinSystem ( s , i ) = constitutive_titanmod_twinps_PerTwinFamily ( f , i )
constitutive_titanmod_twinqe_PerTwinSystem ( s , i ) = constitutive_titanmod_twinqe_PerTwinFamily ( f , i )
constitutive_titanmod_twinqs_PerTwinSystem ( s , i ) = constitutive_titanmod_twinqs_PerTwinFamily ( f , i )
constitutive_titanmod_twinCeLambdaSlipPerTwinSystem ( s , i ) = constitutive_titanmod_twinCeLambdaSlipPerTwinFamily ( f , i )
constitutive_titanmod_twinCsLambdaSlipPerTwinSystem ( s , i ) = constitutive_titanmod_twinCsLambdaSlipPerTwinFamily ( f , i )
enddo
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!* Construction of interaction matrices
do s1 = 1 , constitutive_titanmod_totalNslip ( i )
do s2 = 1 , constitutive_titanmod_totalNslip ( i )
constitutive_titanmod_interactionMatrixSlipSlip ( s1 , s2 , i ) = &
constitutive_titanmod_interactionSlipSlip ( lattice_interactionSlipSlip ( constitutive_titanmod_slipSystemLattice ( s1 , i ) , &
constitutive_titanmod_slipSystemLattice ( s2 , i ) , &
myStructure ) , i )
enddo ; enddo
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do s1 = 1 , constitutive_titanmod_totalNslip ( i )
do s2 = 1 , constitutive_titanmod_totalNslip ( i )
constitutive_titanmod_interactionMatrix_ee ( s1 , s2 , i ) = &
constitutive_titanmod_interaction_ee ( lattice_interactionSlipSlip ( constitutive_titanmod_slipSystemLattice ( s1 , i ) , &
constitutive_titanmod_slipSystemLattice ( s2 , i ) , &
myStructure ) , i )
enddo ; enddo
do s1 = 1 , constitutive_titanmod_totalNslip ( i )
do s2 = 1 , constitutive_titanmod_totalNslip ( i )
constitutive_titanmod_interactionMatrix_ss ( s1 , s2 , i ) = &
constitutive_titanmod_interaction_ss ( lattice_interactionSlipSlip ( constitutive_titanmod_slipSystemLattice ( s1 , i ) , &
constitutive_titanmod_slipSystemLattice ( s2 , i ) , &
myStructure ) , i )
enddo ; enddo
do s1 = 1 , constitutive_titanmod_totalNslip ( i )
do s2 = 1 , constitutive_titanmod_totalNslip ( i )
constitutive_titanmod_interactionMatrix_es ( s1 , s2 , i ) = &
constitutive_titanmod_interaction_es ( lattice_interactionSlipSlip ( constitutive_titanmod_slipSystemLattice ( s1 , i ) , &
constitutive_titanmod_slipSystemLattice ( s2 , i ) , &
myStructure ) , i )
enddo ; enddo
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do s1 = 1 , constitutive_titanmod_totalNslip ( i )
do t2 = 1 , constitutive_titanmod_totalNtwin ( i )
constitutive_titanmod_interactionMatrixSlipTwin ( s1 , t2 , i ) = &
constitutive_titanmod_interactionSlipTwin ( lattice_interactionSlipTwin ( constitutive_titanmod_slipSystemLattice ( s1 , i ) , &
constitutive_titanmod_twinSystemLattice ( t2 , i ) , &
myStructure ) , i )
enddo ; enddo
do t1 = 1 , constitutive_titanmod_totalNtwin ( i )
do s2 = 1 , constitutive_titanmod_totalNslip ( i )
constitutive_titanmod_interactionMatrixTwinSlip ( t1 , s2 , i ) = &
constitutive_titanmod_interactionTwinSlip ( lattice_interactionTwinSlip ( constitutive_titanmod_twinSystemLattice ( t1 , i ) , &
constitutive_titanmod_slipSystemLattice ( s2 , i ) , &
myStructure ) , i )
enddo ; enddo
do t1 = 1 , constitutive_titanmod_totalNtwin ( i )
do t2 = 1 , constitutive_titanmod_totalNtwin ( i )
constitutive_titanmod_interactionMatrixTwinTwin ( t1 , t2 , i ) = &
constitutive_titanmod_interactionTwinTwin ( lattice_interactionTwinTwin ( constitutive_titanmod_twinSystemLattice ( t1 , i ) , &
constitutive_titanmod_twinSystemLattice ( t2 , i ) , &
myStructure ) , i )
enddo ; enddo
!* Calculation of forest projections for edge dislocations
do s1 = 1 , constitutive_titanmod_totalNslip ( i )
do s2 = 1 , constitutive_titanmod_totalNslip ( i )
constitutive_titanmod_forestProjectionEdge ( s1 , s2 , i ) = &
abs ( math_mul3x3 ( lattice_sn ( : , constitutive_titanmod_slipSystemLattice ( s1 , i ) , myStructure ) , &
lattice_st ( : , constitutive_titanmod_slipSystemLattice ( s2 , i ) , myStructure ) ) )
enddo ; enddo
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!* Calculation of forest projections for screw dislocations
do s1 = 1 , constitutive_titanmod_totalNslip ( i )
do s2 = 1 , constitutive_titanmod_totalNslip ( i )
constitutive_titanmod_forestProjectionScrew ( s1 , s2 , i ) = &
abs ( math_mul3x3 ( lattice_sn ( : , constitutive_titanmod_slipSystemLattice ( s1 , i ) , myStructure ) , &
lattice_sd ( : , constitutive_titanmod_slipSystemLattice ( s2 , i ) , myStructure ) ) )
enddo ; enddo
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! Same framework for twins as for slip.
!* Calculation of forest projections for edge dislocations in twin system
do t1 = 1 , constitutive_titanmod_totalNtwin ( i )
do t2 = 1 , constitutive_titanmod_totalNtwin ( i )
constitutive_titanmod_TwinforestProjectionEdge ( t1 , t2 , i ) = &
abs ( math_mul3x3 ( lattice_tn ( : , constitutive_titanmod_twinSystemLattice ( t1 , i ) , myStructure ) , &
lattice_tt ( : , constitutive_titanmod_twinSystemLattice ( t2 , i ) , myStructure ) ) )
enddo ; enddo
!* Calculation of forest projections for screw dislocations in twin system
do t1 = 1 , constitutive_titanmod_totalNtwin ( i )
do t2 = 1 , constitutive_titanmod_totalNtwin ( i )
constitutive_titanmod_TwinforestProjectionScrew ( t1 , t2 , i ) = &
abs ( math_mul3x3 ( lattice_tn ( : , constitutive_titanmod_twinSystemLattice ( t1 , i ) , myStructure ) , &
lattice_td ( : , constitutive_titanmod_twinSystemLattice ( t2 , i ) , myStructure ) ) )
enddo ; enddo
enddo
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write ( 6 , * ) 'Init All done'
return
end subroutine
function constitutive_titanmod_stateInit ( myInstance )
!*********************************************************************
!* initial microstructural state *
!*********************************************************************
use prec , only : pReal , pInt
use math , only : pi
use lattice , only : lattice_maxNslipFamily , lattice_maxNtwinFamily
implicit none
!* Input-Output variables
integer ( pInt ) :: myInstance
real ( pReal ) , dimension ( constitutive_titanmod_sizeState ( myInstance ) ) :: constitutive_titanmod_stateInit
!* Local variables
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integer ( pInt ) s0 , s1 , s , t , f , ns , nt , ts0 , ts1 , tf , ts
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real ( pReal ) , dimension ( constitutive_titanmod_totalNslip ( myInstance ) ) :: rho_edge0 , &
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rho_screw0 , &
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segment_edge0 , &
segment_screw0 , &
resistance_edge0 , &
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resistance_screw0
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real ( pReal ) , dimension ( constitutive_titanmod_totalNtwin ( myInstance ) ) :: twinrho_edge0 , &
twinrho_screw0 , &
twinsegment_edge0 , &
twinsegment_screw0 , &
twinresistance_edge0 , &
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twinresistance_screw0 , &
twingamma_dot0
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ns = constitutive_titanmod_totalNslip ( myInstance )
nt = constitutive_titanmod_totalNtwin ( myInstance )
constitutive_titanmod_stateInit = 0.0_pReal
!* Initialize basic slip state variables
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! For slip
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s1 = 0_pInt
do f = 1 , lattice_maxNslipFamily
s0 = s1 + 1_pInt
s1 = s0 + constitutive_titanmod_Nslip ( f , myInstance ) - 1_pInt
do s = s0 , s1
rho_edge0 ( s ) = constitutive_titanmod_rho_edge0 ( f , myInstance )
rho_screw0 ( s ) = constitutive_titanmod_rho_screw0 ( f , myInstance )
enddo
enddo
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!* Initialize basic slip state variables
! For twin
ts1 = 0_pInt
do tf = 1 , lattice_maxNtwinFamily
ts0 = ts1 + 1_pInt
ts1 = ts0 + constitutive_titanmod_Ntwin ( tf , myInstance ) - 1_pInt
do ts = ts0 , ts1
twinrho_edge0 ( ts ) = constitutive_titanmod_twinrho_edge0 ( tf , myInstance )
twinrho_screw0 ( ts ) = constitutive_titanmod_twinrho_screw0 ( tf , myInstance )
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twingamma_dot0 ( ts ) = 0.0_pReal
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enddo
enddo
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constitutive_titanmod_stateInit ( 1 : ns ) = rho_edge0
constitutive_titanmod_stateInit ( ns + 1 : 2 * ns ) = rho_screw0
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constitutive_titanmod_stateInit ( 2 * ns + 1 : 2 * ns + nt ) = twinrho_edge0
constitutive_titanmod_stateInit ( 2 * ns + nt + 1 : 2 * ns + 2 * nt ) = twinrho_screw0
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constitutive_titanmod_stateInit ( 2 * ns + 2 * nt + 1 : 2 * ns + 3 * nt ) = twingamma_dot0
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!* Initialize dependent slip microstructural variables
forall ( s = 1 : ns ) &
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segment_edge0 ( s ) = constitutive_titanmod_CeLambdaSlipPerSlipSystem ( s , myInstance ) / &
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sqrt ( dot_product ( ( rho_edge0 + rho_screw0 ) , constitutive_titanmod_forestProjectionEdge ( 1 : ns , s , myInstance ) ) )
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constitutive_titanmod_stateInit ( 2 * ns + 2 * nt + 1 : 3 * ns + 3 * nt ) = segment_edge0
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forall ( s = 1 : ns ) &
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segment_screw0 ( s ) = constitutive_titanmod_CsLambdaSlipPerSlipSystem ( s , myInstance ) / &
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sqrt ( dot_product ( ( rho_edge0 + rho_screw0 ) , constitutive_titanmod_forestProjectionScrew ( 1 : ns , s , myInstance ) ) )
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constitutive_titanmod_stateInit ( 3 * ns + 2 * nt + 1 : 4 * ns + 3 * nt ) = segment_screw0
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forall ( s = 1 : ns ) &
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resistance_edge0 ( s ) = &
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constitutive_titanmod_Gmod ( myInstance ) * constitutive_titanmod_burgersPerSlipSystem ( s , myInstance ) * &
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sqrt ( dot_product ( ( rho_edge0 ) , constitutive_titanmod_interactionMatrix_ee ( 1 : ns , s , myInstance ) ) + dot_product ( ( rho_screw0 ) , &
constitutive_titanmod_interactionMatrix_es ( 1 : ns , s , myInstance ) ) )
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constitutive_titanmod_stateInit ( 4 * ns + 2 * nt + 1 : 5 * ns + 3 * nt ) = resistance_edge0
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forall ( s = 1 : ns ) &
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resistance_screw0 ( s ) = &
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constitutive_titanmod_Gmod ( myInstance ) * constitutive_titanmod_burgersPerSlipSystem ( s , myInstance ) * &
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sqrt ( dot_product ( ( rho_edge0 ) , constitutive_titanmod_interactionMatrix_es ( 1 : ns , s , myInstance ) ) + dot_product ( ( rho_screw0 ) , &
constitutive_titanmod_interactionMatrix_ss ( 1 : ns , s , myInstance ) ) )
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constitutive_titanmod_stateInit ( 5 * ns + 2 * nt + 1 : 6 * ns + 3 * nt ) = resistance_screw0
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!* Initialize dependent twin microstructural variables
forall ( t = 1 : nt ) &
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twinsegment_edge0 ( t ) = constitutive_titanmod_twinCeLambdaSlipPertwinSystem ( t , myInstance ) / &
sqrt ( dot_product ( ( twinrho_edge0 + twinrho_screw0 ) , constitutive_titanmod_twinforestProjectionEdge ( 1 : nt , t , myInstance ) ) )
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constitutive_titanmod_stateInit ( 6 * ns + 2 * nt + 1 : 6 * ns + 4 * nt ) = twinsegment_edge0
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forall ( t = 1 : nt ) &
twinsegment_screw0 ( t ) = constitutive_titanmod_twinCsLambdaSlipPertwinSystem ( t , myInstance ) / &
sqrt ( dot_product ( ( twinrho_edge0 + twinrho_screw0 ) , constitutive_titanmod_twinforestProjectionScrew ( 1 : nt , t , myInstance ) ) )
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constitutive_titanmod_stateInit ( 6 * ns + 3 * nt + 1 : 6 * ns + 5 * nt ) = twinsegment_edge0
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forall ( t = 1 : nt ) &
twinresistance_edge0 ( t ) = &
constitutive_titanmod_Gmod ( myInstance ) * constitutive_titanmod_burgersPerTwinSystem ( t , myInstance ) * &
sqrt ( dot_product ( ( twinrho_edge0 ) , constitutive_titanmod_interactionMatrixTwinTwin ( 1 : nt , t , myInstance ) ) + &
dot_product ( ( twinrho_screw0 ) , constitutive_titanmod_interactionMatrixTwinTwin ( 1 : nt , t , myInstance ) ) )
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constitutive_titanmod_stateInit ( 6 * ns + 4 * nt + 1 : 6 * ns + 6 * nt ) = twinresistance_edge0
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forall ( t = 1 : nt ) &
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twinresistance_screw0 ( t ) = &
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constitutive_titanmod_Gmod ( myInstance ) * constitutive_titanmod_burgersPerTwinSystem ( t , myInstance ) * &
sqrt ( dot_product ( ( twinrho_edge0 ) , constitutive_titanmod_interactionMatrixTwinTwin ( 1 : nt , t , myInstance ) ) + &
dot_product ( ( twinrho_screw0 ) , constitutive_titanmod_interactionMatrixTwinTwin ( 1 : nt , t , myInstance ) ) )
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constitutive_titanmod_stateInit ( 6 * ns + 5 * nt + 1 : 6 * ns + 7 * nt ) = twinresistance_screw0
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!forall (t = 1:nt) &
!MeanFreePathTwin0(t) = constitutive_titanmod_GrainSize(myInstance)
!constitutive_titanmod_stateInit(5*ns+2*nt+1:5*ns+3*nt) = MeanFreePathTwin0
!forall (t = 1:nt) &
!TwinVolume0(t) = &
!(pi/6.0_pReal)*constitutive_titanmod_twinsizePerTwinSystem(t,myInstance)*MeanFreePathTwin0(t)**(2.0_pReal)
!constitutive_titanmod_stateInit(6*ns+4*nt+1:6*ns+5*nt) = TwinVolume0
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!write(6,*) '#STATEINIT#'
!write(6,*)
!write(6,'(a,/,4(3(f30.20,x)/))') 'rho_edge',rho_edge0
!write(6,'(a,/,4(3(f30.20,x)/))') 'rho_screw',rho_screw0
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!write(6,'(a,/,4(3(f30.20,x)/))') 'segment_edge',segment_edge0
!write(6,'(a,/,4(3(f30.20,x)/))') 'segment_screw',segment_screw0
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!write(6,'(a,/,4(3(f30.20,x)/))') 'tauSlipThreshold', tauSlipThreshold0
!write(6,'(a,/,4(3(f30.20,x)/))') 'MeanFreePathTwin', MeanFreePathTwin0
!write(6,'(a,/,4(3(f30.20,x)/))') 'TwinVolume', TwinVolume0
return
end function
pure function constitutive_titanmod_relevantState ( myInstance )
!*********************************************************************
!* relevant microstructural state *
!*********************************************************************
use prec , only : pReal , pInt
implicit none
!* Input-Output variables
integer ( pInt ) , intent ( in ) :: myInstance
real ( pReal ) , dimension ( constitutive_titanmod_sizeState ( myInstance ) ) :: constitutive_titanmod_relevantState
constitutive_titanmod_relevantState = constitutive_titanmod_relevantRho ( myInstance )
return
endfunction
pure function constitutive_titanmod_homogenizedC ( state , g , ip , el )
!*********************************************************************
!* calculates homogenized elacticity matrix *
!* - state : microstructure quantities *
!* - g : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec , only : pReal , pInt , p_vec
use mesh , only : mesh_NcpElems , mesh_maxNips
use material , only : homogenization_maxNgrains , material_phase , phase_constitutionInstance
implicit none
!* Input-Output variables
integer ( pInt ) , intent ( in ) :: g , ip , el
type ( p_vec ) , dimension ( homogenization_maxNgrains , mesh_maxNips , mesh_NcpElems ) , intent ( in ) :: state
real ( pReal ) , dimension ( 6 , 6 ) :: constitutive_titanmod_homogenizedC
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real ( pReal ) , dimension ( constitutive_titanmod_totalNtwin ( phase_constitutionInstance ( material_phase ( g , ip , el ) ) ) ) :: &
volumefraction_pertwinsystem
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!* Local variables
integer ( pInt ) myInstance , ns , nt , i
real ( pReal ) sumf
!* Shortened notation
myInstance = phase_constitutionInstance ( material_phase ( g , ip , el ) )
ns = constitutive_titanmod_totalNslip ( myInstance )
nt = constitutive_titanmod_totalNtwin ( myInstance )
!* Total twin volume fraction
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do i = 1 , nt
volumefraction_pertwinsystem ( i ) = state ( g , ip , el ) % p ( 2 * ns + 2 * nt + i ) / &
constitutive_titanmod_twinshearconstant_PerTwinSystem ( i , myInstance )
enddo
!sumf = sum(state(g,ip,el)%p((6*ns+7*nt+1):(6*ns+8*nt))) ! safe for nt == 0
sumf = sum ( abs ( volumefraction_pertwinsystem ( 1 : nt ) ) ) ! safe for nt == 0
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!* Homogenized elasticity matrix
constitutive_titanmod_homogenizedC = ( 1.0_pReal - sumf ) * constitutive_titanmod_Cslip_66 ( : , : , myInstance )
do i = 1 , nt
constitutive_titanmod_homogenizedC = &
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! constitutive_titanmod_homogenizedC + state(g,ip,el)%p(6*ns+7*nt+i)*constitutive_titanmod_Ctwin_66(:,:,i,myInstance)
constitutive_titanmod_homogenizedC + volumefraction_pertwinsystem ( i ) * constitutive_titanmod_Ctwin_66 ( : , : , i , myInstance )
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enddo
return
end function
subroutine constitutive_titanmod_microstructure ( Temperature , state , g , ip , el )
!*********************************************************************
!* calculates quantities characterizing the microstructure *
!* - Temperature : temperature *
!* - state : microstructure quantities *
!* - ipc : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec , only : pReal , pInt , p_vec
use math , only : pi
use mesh , only : mesh_NcpElems , mesh_maxNips
use material , only : homogenization_maxNgrains , material_phase , phase_constitutionInstance
use lattice , only : lattice_interactionSlipTwin , lattice_interactionTwinTwin
!use debug, only: debugger
implicit none
!* Input-Output variables
integer ( pInt ) , intent ( in ) :: g , ip , el
real ( pReal ) , intent ( in ) :: Temperature
type ( p_vec ) , dimension ( homogenization_maxNgrains , mesh_maxNips , mesh_NcpElems ) , intent ( inout ) :: state
!* Local variables
integer ( pInt ) myInstance , myStructure , ns , nt , s , t , i
real ( pReal ) sumf , sfe
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real ( pReal ) , dimension ( constitutive_titanmod_totalNtwin ( phase_constitutionInstance ( material_phase ( g , ip , el ) ) ) ) :: &
fOverStacksize , volumefraction_pertwinsystem
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!* Shortened notation
myInstance = phase_constitutionInstance ( material_phase ( g , ip , el ) )
myStructure = constitutive_titanmod_structure ( myInstance )
ns = constitutive_titanmod_totalNslip ( myInstance )
nt = constitutive_titanmod_totalNtwin ( myInstance )
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! Need to update this list
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!* State: 1 : ns rho_edge
!* State: ns+1 : 2*ns rho_screw
!* State: 2*ns+1 : 2*ns+nt f
!* State: 2*ns+nt+1 : 3*ns+nt 1/lambda_slip
!* State: 3*ns+nt+1 : 4*ns+nt 1/lambda_sliptwin
!* State: 4*ns+nt+1 : 4*ns+2*nt 1/lambda_twin
!* State: 4*ns+2*nt+1 : 5*ns+2*nt mfp_slip
!* State: 5*ns+2*nt+1 : 5*ns+3*nt mfp_twin
!* State: 5*ns+3*nt+1 : 6*ns+3*nt threshold_stress_slip
!* State: 6*ns+3*nt+1 : 6*ns+4*nt threshold_stress_twin
!* State: 6*ns+4*nt+1 : 6*ns+5*nt twin volume
!* Total twin volume fraction
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do i = 1 , nt
volumefraction_pertwinsystem ( i ) = state ( g , ip , el ) % p ( 2 * ns + 2 * nt + i ) / &
constitutive_titanmod_twinshearconstant_PerTwinSystem ( i , myInstance )
enddo
!sumf = sum(state(g,ip,el)%p((6*ns+7*nt+1):(6*ns+8*nt))) ! safe for nt == 0
sumf = sum ( abs ( volumefraction_pertwinsystem ( 1 : nt ) ) ) ! safe for nt == 0
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!* Stacking fault energy
sfe = 0.0002_pReal * Temperature - 0.0396_pReal
!* rescaled twin volume fraction for topology
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!forall (t = 1:nt) &
! fOverStacksize(t) = &
! state(g,ip,el)%p(2*ns+t)/constitutive_titanmod_twinsizePerTwinSystem(t,myInstance)
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! average segment length for edge dislocations in matrix
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forall ( s = 1 : ns ) &
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state ( g , ip , el ) % p ( 2 * ns + 3 * nt + s ) = constitutive_titanmod_CeLambdaSlipPerSlipSystem ( s , myInstance ) / &
sqrt ( dot_product ( ( state ( g , ip , el ) % p ( 1 : ns ) + state ( g , ip , el ) % p ( ns + 1 : 2 * ns ) ) , &
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constitutive_titanmod_forestProjectionEdge ( 1 : ns , s , myInstance ) ) )
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! average segment length for edge dislocations in matrix
forall ( s = 1 : ns ) &
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state ( g , ip , el ) % p ( 3 * ns + 3 * nt + s ) = constitutive_titanmod_CeLambdaSlipPerSlipSystem ( s , myInstance ) / &
sqrt ( dot_product ( ( state ( g , ip , el ) % p ( 1 : ns ) + state ( g , ip , el ) % p ( ns + 1 : 2 * ns ) ) , &
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constitutive_titanmod_forestProjectionEdge ( 1 : ns , s , myInstance ) ) )
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!* Average segment length for screw dislocations in matrix
!do s = 1,ns
! if (nt > 0_pInt) then
! state(g,ip,el)%p(4*ns+2*nt+s) = &
! constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,myInstance) / &
! sqrt(dot_product((state(g,ip,el)%p(1:ns)+state(g,ip,el)%p(ns:2*ns)), &
! constitutive_titanmod_forestProjectionScrew(1:ns,s,myInstance)))
! else
! state(g,ip,el)%p(4*ns+s) = &
! constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,myInstance) / &
! sqrt(dot_product((state(g,ip,el)%p(1:ns)+state(g,ip,el)%p(ns:2*ns)), &
! constitutive_titanmod_forestProjectionScrew(1:ns,s,myInstance)))
! endif
!enddo
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!* threshold stress or slip resistance for edge dislocation motion
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forall ( s = 1 : ns ) &
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state ( g , ip , el ) % p ( 4 * ns + 3 * nt + s ) = &
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constitutive_titanmod_Gmod ( myInstance ) * constitutive_titanmod_burgersPerSlipSystem ( s , myInstance ) * &
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sqrt ( dot_product ( ( state ( g , ip , el ) % p ( 1 : ns ) ) , &
constitutive_titanmod_interactionMatrix_ee ( 1 : ns , s , myInstance ) ) + &
dot_product ( ( state ( g , ip , el ) % p ( ns + 1 : 2 * ns ) ) , &
constitutive_titanmod_interactionMatrix_es ( 1 : ns , s , myInstance ) ) )
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!* threshold stress or slip resistance for screw dislocation motion
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forall ( s = 1 : ns ) &
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state ( g , ip , el ) % p ( 5 * ns + 3 * nt + s ) = &
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constitutive_titanmod_Gmod ( myInstance ) * constitutive_titanmod_burgersPerSlipSystem ( s , myInstance ) * &
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sqrt ( dot_product ( ( state ( g , ip , el ) % p ( 1 : ns ) ) , &
constitutive_titanmod_interactionMatrix_es ( 1 : ns , s , myInstance ) ) + &
dot_product ( ( state ( g , ip , el ) % p ( ns + 1 : 2 * ns ) ) , &
constitutive_titanmod_interactionMatrix_ss ( 1 : ns , s , myInstance ) ) )
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! average segment length for edge dislocations in twin
forall ( t = 1 : nt ) &
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state ( g , ip , el ) % p ( 6 * ns + 3 * nt + t ) = constitutive_titanmod_twinCeLambdaSlipPerTwinSystem ( t , myInstance ) / &
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sqrt ( dot_product ( ( state ( g , ip , el ) % p ( 2 * ns + 1 : 2 * ns + nt ) + state ( g , ip , el ) % p ( 2 * ns + nt + 1 : 2 * ns + 2 * nt ) ) , &
constitutive_titanmod_twinforestProjectionEdge ( 1 : nt , t , myInstance ) ) )
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! average segment length for screw dislocations in twin
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forall ( t = 1 : nt ) &
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state ( g , ip , el ) % p ( 6 * ns + 4 * nt + t ) = constitutive_titanmod_twinCeLambdaSlipPerTwinSystem ( t , myInstance ) / &
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sqrt ( dot_product ( ( state ( g , ip , el ) % p ( 2 * ns + 1 : 2 * ns + nt ) + state ( g , ip , el ) % p ( 2 * ns + nt + 1 : 2 * ns + 2 * nt ) ) , &
constitutive_titanmod_twinforestProjectionScrew ( 1 : nt , t , myInstance ) ) )
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!* threshold stress or slip resistance for edge dislocation motion in twin
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forall ( t = 1 : nt ) &
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state ( g , ip , el ) % p ( 6 * ns + 5 * nt + t ) = &
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constitutive_titanmod_Gmod ( myInstance ) * constitutive_titanmod_burgersPerTwinSystem ( t , myInstance ) * &
sqrt ( dot_product ( ( state ( g , ip , el ) % p ( 2 * ns + 1 : 2 * ns + nt ) ) , &
constitutive_titanmod_interactionMatrixTwinTwin ( 1 : nt , t , myInstance ) ) + &
dot_product ( ( state ( g , ip , el ) % p ( 2 * ns + nt + 1 : 2 * ns + 2 * nt ) ) , &
constitutive_titanmod_interactionMatrixTwinTwin ( 1 : nt , t , myInstance ) ) )
!* threshold stress or slip resistance for screw dislocation motion in twin
forall ( t = 1 : nt ) &
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state ( g , ip , el ) % p ( 6 * ns + 6 * nt + t ) = &
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constitutive_titanmod_Gmod ( myInstance ) * constitutive_titanmod_burgersPerTwinSystem ( t , myInstance ) * &
sqrt ( dot_product ( ( state ( g , ip , el ) % p ( 2 * ns + 1 : 2 * ns + nt ) ) , &
constitutive_titanmod_interactionMatrixTwinTwin ( 1 : nt , t , myInstance ) ) + &
dot_product ( ( state ( g , ip , el ) % p ( 2 * ns + nt + 1 : 2 * ns + 2 * nt ) ) , &
constitutive_titanmod_interactionMatrixTwinTwin ( 1 : nt , t , myInstance ) ) )
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return
end subroutine
subroutine constitutive_titanmod_LpAndItsTangent ( Lp , dLp_dTstar , Tstar_v , Temperature , state , g , ip , el )
!*********************************************************************
!* calculates plastic velocity gradient and its tangent *
!* INPUT: *
!* - Temperature : temperature *
!* - state : microstructure quantities *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - ipc : component-ID at current integration point *
!* - ip : current integration point *
!* - el : current element *
!* OUTPUT: *
!* - Lp : plastic velocity gradient *
!* - dLp_dTstar : derivative of Lp (4th-rank tensor) *
!*********************************************************************
use prec , only : pReal , pInt , p_vec
use math , only : math_Plain3333to99
use mesh , only : mesh_NcpElems , mesh_maxNips
use material , only : homogenization_maxNgrains , material_phase , phase_constitutionInstance
use lattice , only : lattice_Sslip , lattice_Sslip_v , lattice_Stwin , lattice_Stwin_v , lattice_maxNslipFamily , lattice_maxNtwinFamily , &
lattice_NslipSystem , lattice_NtwinSystem , lattice_shearTwin
implicit none
!* Input-Output variables
integer ( pInt ) , intent ( in ) :: g , ip , el
real ( pReal ) , intent ( in ) :: Temperature
real ( pReal ) , dimension ( 6 ) , intent ( in ) :: Tstar_v
type ( p_vec ) , dimension ( homogenization_maxNgrains , mesh_maxNips , mesh_NcpElems ) , intent ( inout ) :: state
real ( pReal ) , dimension ( 3 , 3 ) , intent ( out ) :: Lp
real ( pReal ) , dimension ( 9 , 9 ) , intent ( out ) :: dLp_dTstar
!* Local variables
integer ( pInt ) myInstance , myStructure , ns , nt , f , i , j , k , l , m , n , index_myFamily
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real ( pReal ) sumf , StressRatio_edge_p , minusStressRatio_edge_p , StressRatio_edge_pminus1 , StressRatio_screw_p , &
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StressRatio_screw_pminus1 , StressRatio_r , BoltzmannRatio , DotGamma0 , minusStressRatio_screw_p , gdotTotal , &
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screwvelocity_kink_prefactor , twinStressRatio_edge_p , twinminusStressRatio_edge_p , twinStressRatio_edge_pminus1 , &
twinStressRatio_screw_p , twinStressRatio_screw_pminus1 , twinStressRatio_r , twinDotGamma0 , &
twinminusStressRatio_screw_p
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real ( pReal ) , dimension ( 3 , 3 , 3 , 3 ) :: dLp_dTstar3333
real ( pReal ) , dimension ( constitutive_titanmod_totalNslip ( phase_constitutionInstance ( material_phase ( g , ip , el ) ) ) ) :: &
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gdot_slip , dgdot_dtauslip , tau_slip , edge_velocity , screw_velocity
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real ( pReal ) , dimension ( constitutive_titanmod_totalNtwin ( phase_constitutionInstance ( material_phase ( g , ip , el ) ) ) ) :: &
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gdot_twin , dgdot_dtautwin , tau_twin , twinedge_velocity , twinscrew_velocity , volumefraction_pertwinsystem
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!* Shortened notation
myInstance = phase_constitutionInstance ( material_phase ( g , ip , el ) )
myStructure = constitutive_titanmod_structure ( myInstance )
ns = constitutive_titanmod_totalNslip ( myInstance )
nt = constitutive_titanmod_totalNtwin ( myInstance )
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do i = 1 , nt
volumefraction_pertwinsystem ( i ) = state ( g , ip , el ) % p ( 2 * ns + 2 * nt + i ) / &
constitutive_titanmod_twinshearconstant_PerTwinSystem ( i , myInstance )
enddo
!sumf = sum(state(g,ip,el)%p((6*ns+7*nt+1):(6*ns+8*nt))) ! safe for nt == 0
sumf = sum ( abs ( volumefraction_pertwinsystem ( 1 : nt ) ) ) ! safe for nt == 0
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Lp = 0.0_pReal
dLp_dTstar3333 = 0.0_pReal
dLp_dTstar = 0.0_pReal
!* Dislocation glide part
gdot_slip = 0.0_pReal
dgdot_dtauslip = 0.0_pReal
j = 0_pInt
do f = 1 , lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum ( lattice_NslipSystem ( 1 : f - 1 , myStructure ) ) ! at which index starts my family
do i = 1 , constitutive_titanmod_Nslip ( f , myInstance ) ! process each (active) slip system in family
j = j + 1_pInt
!* Calculation of Lp
!* Resolved shear stress on slip system
tau_slip ( j ) = dot_product ( Tstar_v , lattice_Sslip_v ( : , index_myFamily + i , myStructure ) )
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! state(g,ip,el)%p(9*ns+3*nt+j)=tau_slip(j)
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!*************************************************
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if ( myStructure == 3. and . j > 3 ) then ! only for hex and for all the non-basal slip systems
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screwvelocity_kink_prefactor = state ( g , ip , el ) % p ( 3 * ns + 3 * nt + j ) / constitutive_titanmod_rlengthscrew_PerSlipSystem ( j , myInstance )
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else
screwvelocity_kink_prefactor = 1.0_pReal
endif
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! state(g,ip,el)%p(14*ns+3*nt+j)=screwvelocity_kink_prefactor
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!* Stress ratio for edge
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StressRatio_edge_p = ( ( abs ( tau_slip ( j ) ) ) / &
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( constitutive_titanmod_tau0e_PerSlipSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 4 * ns + 3 * nt + j ) ) &
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) ** constitutive_titanmod_pe_PerSlipSystem ( j , myInstance )
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!* Stress ratio for screw
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StressRatio_screw_p = ( ( abs ( tau_slip ( j ) ) ) / &
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( constitutive_titanmod_tau0s_PerSlipSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 5 * ns + 3 * nt + j ) ) &
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) ** constitutive_titanmod_ps_PerSlipSystem ( j , myInstance )
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! state(g,ip,el)%p(10*ns+3*nt+j)=StressRatio_edge_p
! state(g,ip,el)%p(11*ns+3*nt+j)=StressRatio_screw_p
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if ( ( 1.0_pReal - StressRatio_edge_p ) > 0.001_pReal ) then
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minusStressRatio_edge_p = 1.0_pReal - StressRatio_edge_p
else
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minusStressRatio_edge_p = 0.001_pReal
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endif
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if ( ( 1.0_pReal - StressRatio_screw_p ) > 0.001_pReal ) then
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minusStressRatio_screw_p = 1.0_pReal - StressRatio_screw_p
else
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minusStressRatio_screw_p = 0.001_pReal
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endif
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StressRatio_edge_pminus1 = ( ( abs ( tau_slip ( j ) ) ) / &
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( constitutive_titanmod_tau0e_PerSlipSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 4 * ns + 3 * nt + j ) ) &
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) ** ( constitutive_titanmod_pe_PerSlipSystem ( j , myInstance ) - 1.0_pReal )
StressRatio_screw_pminus1 = ( ( abs ( tau_slip ( j ) ) ) / &
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( constitutive_titanmod_tau0s_PerSlipSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 5 * ns + 3 * nt + j ) ) &
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) ** ( constitutive_titanmod_ps_PerSlipSystem ( j , myInstance ) - 1.0_pReal )
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!* Boltzmann ratio
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BoltzmannRatio = constitutive_titanmod_f0_PerSlipSystem ( j , myInstance ) / ( kB * Temperature )
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!* Initial shear rates
DotGamma0 = &
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constitutive_titanmod_burgersPerSlipSystem ( j , myInstance ) * ( state ( g , ip , el ) % p ( j ) * &
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+ constitutive_titanmod_v0e_PerSlipSystem ( j , myInstance ) + state ( g , ip , el ) % p ( ns + j ) * &
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constitutive_titanmod_v0s_PerSlipSystem ( j , myInstance ) )
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edge_velocity ( j ) = constitutive_titanmod_v0e_PerSlipSystem ( j , myInstance ) * exp ( - BoltzmannRatio * &
( minusStressRatio_edge_p ) ** &
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constitutive_titanmod_qe_PerSlipSystem ( j , myInstance ) )
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screw_velocity ( j ) = screwvelocity_kink_prefactor * constitutive_titanmod_v0s_PerSlipSystem ( j , myInstance ) * &
exp ( - BoltzmannRatio * ( minusStressRatio_screw_p ) ** &
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constitutive_titanmod_qs_PerSlipSystem ( j , myInstance ) )
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!* Shear rates due to slip
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gdot_slip ( j ) = constitutive_titanmod_burgersPerSlipSystem ( j , myInstance ) * ( state ( g , ip , el ) % p ( j ) * &
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edge_velocity ( j ) + state ( g , ip , el ) % p ( ns + j ) * screw_velocity ( j ) ) * sign ( 1.0_pReal , tau_slip ( j ) )
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!* Derivatives of shear rates
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dgdot_dtauslip ( j ) = ( &
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( &
( &
( &
( abs ( gdot_slip ( j ) ) ) * &
BoltzmannRatio * &
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constitutive_titanmod_pe_PerSlipSystem ( j , myInstance ) * &
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constitutive_titanmod_qe_PerSlipSystem ( j , myInstance ) &
) / &
constitutive_titanmod_tau0e_PerSlipSystem ( j , myInstance ) &
) * &
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StressRatio_edge_pminus1 * ( minusStressRatio_edge_p ) ** &
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( constitutive_titanmod_qe_PerSlipSystem ( j , myInstance ) - 1.0_pReal ) &
) + &
( &
( &
( &
( abs ( gdot_slip ( j ) ) ) * &
BoltzmannRatio * screwvelocity_kink_prefactor * &
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constitutive_titanmod_ps_PerSlipSystem ( j , myInstance ) * &
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constitutive_titanmod_qs_PerSlipSystem ( j , myInstance ) &
) / &
constitutive_titanmod_tau0s_PerSlipSystem ( j , myInstance ) &
) * &
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StressRatio_screw_pminus1 * ( minusStressRatio_screw_p ) ** ( constitutive_titanmod_qs_PerSlipSystem ( j , myInstance ) - 1.0_pReal ) &
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) &
) !* sign(1.0_pReal,tau_slip(j))
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! state(g,ip,el)%p(13*ns+3*nt+j)=dgdot_dtauslip(j)
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!*************************************************
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!sumf=0.0_pReal
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!* Plastic velocity gradient for dislocation glide
Lp = Lp + ( 1.0_pReal - sumf ) * gdot_slip ( j ) * lattice_Sslip ( : , : , index_myFamily + i , myStructure )
!* Calculation of the tangent of Lp
forall ( k = 1 : 3 , l = 1 : 3 , m = 1 : 3 , n = 1 : 3 ) &
dLp_dTstar3333 ( k , l , m , n ) = &
dLp_dTstar3333 ( k , l , m , n ) + dgdot_dtauslip ( j ) * &
lattice_Sslip ( k , l , index_myFamily + i , myStructure ) * &
lattice_Sslip ( m , n , index_myFamily + i , myStructure )
enddo
enddo
!* Mechanical twinning part
gdot_twin = 0.0_pReal
dgdot_dtautwin = 0.0_pReal
j = 0_pInt
do f = 1 , lattice_maxNtwinFamily ! loop over all slip families
index_myFamily = sum ( lattice_NtwinSystem ( 1 : f - 1 , myStructure ) ) ! at which index starts my family
do i = 1 , constitutive_titanmod_Ntwin ( f , myInstance ) ! process each (active) slip system in family
j = j + 1_pInt
!* Calculation of Lp
!* Resolved shear stress on twin system
tau_twin ( j ) = dot_product ( Tstar_v , lattice_Stwin_v ( : , index_myFamily + i , myStructure ) )
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!**************************************************************************************
!* Stress ratios
! StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_titanmod_r(myInstance)
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!* Shear rates and their derivatives due to twin
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! if ( tau_twin(j) > 0.0_pReal ) !then
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! gdot_twin(j) = 0.0_pReal!&
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! (constitutive_titanmod_MaxTwinFraction(myInstance)-sumf)*lattice_shearTwin(index_myFamily+i,myStructure)*&
! state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_titanmod_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
! dgdot_dtautwin(j) = ((gdot_twin(j)*constitutive_titanmod_r(myInstance))/tau_twin(j))*StressRatio_r
! endif
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!**************************************************************************************
!* Stress ratio for edge
twinStressRatio_edge_p = ( ( abs ( tau_twin ( j ) ) ) / &
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( constitutive_titanmod_twintau0e_PerTwinSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 6 * ns + 5 * nt + j ) ) &
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) ** constitutive_titanmod_twinpe_PerTwinSystem ( j , myInstance )
!* Stress ratio for screw
twinStressRatio_screw_p = ( ( abs ( tau_twin ( j ) ) ) / &
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( constitutive_titanmod_twintau0s_PerTwinSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 6 * ns + 6 * nt + j ) ) &
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) ** constitutive_titanmod_twinps_PerTwinSystem ( j , myInstance )
! state(g,ip,el)%p(10*ns+3*nt+j)=twinStressRatio_edge_p
! state(g,ip,el)%p(11*ns+3*nt+j)=twinStressRatio_screw_p
if ( ( 1.0_pReal - twinStressRatio_edge_p ) > 0.001_pReal ) then
twinminusStressRatio_edge_p = 1.0_pReal - twinStressRatio_edge_p
else
twinminusStressRatio_edge_p = 0.001_pReal
endif
if ( ( 1.0_pReal - twinStressRatio_screw_p ) > 0.001_pReal ) then
twinminusStressRatio_screw_p = 1.0_pReal - twinStressRatio_screw_p
else
twinminusStressRatio_screw_p = 0.001_pReal
endif
twinStressRatio_edge_pminus1 = ( ( abs ( tau_twin ( j ) ) ) / &
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( constitutive_titanmod_twintau0e_PerTwinSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 6 * ns + 5 * nt + j ) ) &
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) ** ( constitutive_titanmod_twinpe_PerTwinSystem ( j , myInstance ) - 1.0_pReal )
twinStressRatio_screw_pminus1 = ( ( abs ( tau_twin ( j ) ) ) / &
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( constitutive_titanmod_twintau0s_PerTwinSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 6 * ns + 6 * nt + j ) ) &
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) ** ( constitutive_titanmod_twinps_PerTwinSystem ( j , myInstance ) - 1.0_pReal )
!* Boltzmann ratio
BoltzmannRatio = constitutive_titanmod_twinf0_PerTwinSystem ( j , myInstance ) / ( kB * Temperature )
!* Initial shear rates
TwinDotGamma0 = &
constitutive_titanmod_burgersPerTwinSystem ( j , myInstance ) * ( state ( g , ip , el ) % p ( 2 * ns + j ) * &
constitutive_titanmod_twinv0e_PerTwinSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 2 * ns + nt + j ) * &
constitutive_titanmod_twinv0s_PerTwinSystem ( j , myInstance ) )
twinedge_velocity ( j ) = constitutive_titanmod_twinv0e_PerTwinSystem ( j , myInstance ) * exp ( - BoltzmannRatio * &
( twinminusStressRatio_edge_p ) ** &
constitutive_titanmod_twinqe_PerTwinSystem ( j , myInstance ) )
twinscrew_velocity ( j ) = constitutive_titanmod_twinv0s_PerTwinSystem ( j , myInstance ) * &
exp ( - BoltzmannRatio * ( twinminusStressRatio_screw_p ) ** &
constitutive_titanmod_twinqs_PerTwinSystem ( j , myInstance ) )
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state ( g , ip , el ) % p ( 6 * ns + 8 * nt + j ) = twinscrew_velocity ( j )
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!* Shear rates due to twin
gdot_twin ( j ) = constitutive_titanmod_burgersPerTwinSystem ( j , myInstance ) * ( state ( g , ip , el ) % p ( 2 * ns + j ) * &
twinedge_velocity ( j ) + state ( g , ip , el ) % p ( 2 * ns + nt + j ) * twinscrew_velocity ( j ) ) * sign ( 1.0_pReal , tau_twin ( j ) )
! forall (s = 1:ns) &
! state(g,ip,el)%p(7*ns+3*nt+j)= twinedge_velocity(j)
! forall (s = 1:ns) &
! state(g,ip,el)%p(8*ns+3*nt+j)= twinscrew_velocity(j)
! state(g,ip,el)%p(12*ns+3*nt+j)=gdot_twin(j)
!* Derivatives of shear rates in twin
dgdot_dtautwin ( j ) = ( &
( &
( &
( &
( abs ( gdot_twin ( j ) ) ) * &
BoltzmannRatio * &
constitutive_titanmod_twinpe_PerTwinSystem ( j , myInstance ) * &
constitutive_titanmod_twinqe_PerTwinSystem ( j , myInstance ) &
) / &
constitutive_titanmod_twintau0e_PerTwinSystem ( j , myInstance ) &
) * &
twinStressRatio_edge_pminus1 * ( twinminusStressRatio_edge_p ) ** &
( constitutive_titanmod_twinqe_PerTwinSystem ( j , myInstance ) - 1.0_pReal ) &
) + &
( &
( &
( &
( abs ( gdot_twin ( j ) ) ) * &
BoltzmannRatio * &
constitutive_titanmod_twinps_PerTwinSystem ( j , myInstance ) * &
constitutive_titanmod_twinqs_PerTwinSystem ( j , myInstance ) &
) / &
constitutive_titanmod_twintau0s_PerTwinSystem ( j , myInstance ) &
) * &
twinStressRatio_screw_pminus1 * ( twinminusStressRatio_screw_p ) ** &
( constitutive_titanmod_twinqs_PerTwinSystem ( j , myInstance ) - 1.0_pReal ) &
) &
) !* sign(1.0_pReal,tau_slip(j))
! state(g,ip,el)%p(13*ns+3*nt+j)=dgdot_dtautwin(j)
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!* Plastic velocity gradient for mechanical twinning
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Lp = Lp + sumf * gdot_twin ( j ) * lattice_Stwin ( : , : , index_myFamily + i , myStructure )
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!* Calculation of the tangent of Lp
forall ( k = 1 : 3 , l = 1 : 3 , m = 1 : 3 , n = 1 : 3 ) &
dLp_dTstar3333 ( k , l , m , n ) = &
dLp_dTstar3333 ( k , l , m , n ) + dgdot_dtautwin ( j ) * &
lattice_Stwin ( k , l , index_myFamily + i , myStructure ) * &
lattice_Stwin ( m , n , index_myFamily + i , myStructure )
enddo
enddo
dLp_dTstar = math_Plain3333to99 ( dLp_dTstar3333 )
!if ((ip==1).and.(el==1)) then
! write(6,*) '#LP/TANGENT#'
! write(6,*)
! write(6,*) 'Tstar_v', Tstar_v
! write(6,*) 'tau_slip', tau_slip
! write(6,'(a10,/,4(3(e20.8,x),/))') 'state',state(1,1,1)%p
! write(6,'(a,/,3(3(f10.4,x)/))') 'Lp',Lp
! write(6,'(a,/,9(9(f10.4,x)/))') 'dLp_dTstar',dLp_dTstar
!endif
return
end subroutine
function constitutive_titanmod_dotState ( Tstar_v , Temperature , state , g , ip , el )
!*********************************************************************
!* rate of change of microstructure *
!* INPUT: *
!* - Temperature : temperature *
!* - state : microstructure quantities *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - ipc : component-ID at current integration point *
!* - ip : current integration point *
!* - el : current element *
!* OUTPUT: *
!* - constitutive_dotState : evolution of state variable *
!*********************************************************************
use prec , only : pReal , pInt , p_vec
use math , only : pi
use mesh , only : mesh_NcpElems , mesh_maxNips
use material , only : homogenization_maxNgrains , material_phase , phase_constitutionInstance
use lattice , only : lattice_Sslip , lattice_Sslip_v , lattice_Stwin , lattice_Stwin_v , lattice_maxNslipFamily , lattice_maxNtwinFamily , &
lattice_NslipSystem , lattice_NtwinSystem , lattice_shearTwin
implicit none
!* Input-Output variables
integer ( pInt ) , intent ( in ) :: g , ip , el
real ( pReal ) , intent ( in ) :: Temperature
real ( pReal ) , dimension ( 6 ) , intent ( in ) :: Tstar_v
type ( p_vec ) , dimension ( homogenization_maxNgrains , mesh_maxNips , mesh_NcpElems ) , intent ( in ) :: state
real ( pReal ) , dimension ( constitutive_titanmod_sizeDotState ( phase_constitutionInstance ( material_phase ( g , ip , el ) ) ) ) :: &
constitutive_titanmod_dotState
!* Local variables
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integer ( pInt ) MyInstance , MyStructure , ns , nt , f , i , j , k , index_myFamily , s , t
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real ( pReal ) sumf , StressRatio_edge_p , minusStressRatio_edge_p , StressRatio_pminus1 , BoltzmannRatio , DotGamma0 , &
EdgeDipMinDistance , AtomicVolume , VacancyDiffusion , StressRatio_r , StressRatio_screw_p , minusStressRatio_screw_p , &
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screwvelocity_kink_prefactor , twinStressRatio_edge_p , twinminusStressRatio_edge_p , twinStressRatio_pminus1 , &
twinDotGamma0 , twinStressRatio_screw_p , &
twinminusStressRatio_screw_p
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real ( pReal ) , dimension ( constitutive_titanmod_totalNslip ( phase_constitutionInstance ( material_phase ( g , ip , el ) ) ) ) :: &
gdot_slip , tau_slip , DotRhoEdgeGeneration , EdgeDipDistance , DotRhoEdgeAnnihilation , DotRhoScrewAnnihilation , &
ClimbVelocity , DotRhoScrewGeneration , edge_segment , screw_segment , edge_velocity , screw_velocity
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real ( pReal ) , dimension ( constitutive_titanmod_totalNtwin ( phase_constitutionInstance ( material_phase ( g , ip , el ) ) ) ) :: gdot_twin , &
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tau_twin , twinedge_segment , twinscrew_segment , twinedge_velocity , twinscrew_velocity , TwinDotRhoEdgeGeneration , &
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TwinDotRhoEdgeAnnihilation , TwinDotRhoScrewGeneration , TwinDotRhoScrewAnnihilation , volumefraction_pertwinsystem
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!* Shortened notation
myInstance = phase_constitutionInstance ( material_phase ( g , ip , el ) )
MyStructure = constitutive_titanmod_structure ( myInstance )
ns = constitutive_titanmod_totalNslip ( myInstance )
nt = constitutive_titanmod_totalNtwin ( myInstance )
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do i = 1 , nt
volumefraction_pertwinsystem ( i ) = state ( g , ip , el ) % p ( 2 * ns + 2 * nt + i ) / &
constitutive_titanmod_twinshearconstant_PerTwinSystem ( i , myInstance )
enddo
!sumf = sum(state(g,ip,el)%p((6*ns+7*nt+1):(6*ns+8*nt))) ! safe for nt == 0
sumf = sum ( abs ( volumefraction_pertwinsystem ( 1 : nt ) ) ) ! safe for nt == 0
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constitutive_titanmod_dotState = 0.0_pReal
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!* average segment length for edge dislocations in matrix
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forall ( s = 1 : ns ) &
edge_segment ( s ) = &
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( constitutive_titanmod_CeLambdaSlipPerSlipSystem ( s , myInstance ) ) / &
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sqrt ( dot_product ( ( state ( g , ip , el ) % p ( 1 : ns ) + state ( g , ip , el ) % p ( ns + 1 : 2 * ns ) ) , &
constitutive_titanmod_forestProjectionEdge ( 1 : ns , s , myInstance ) ) )
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!* average segment length for screw dislocations in matrix
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forall ( s = 1 : ns ) &
screw_segment ( s ) = &
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( constitutive_titanmod_CsLambdaSlipPerSlipSystem ( s , myInstance ) ) / &
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sqrt ( dot_product ( ( state ( g , ip , el ) % p ( 1 : ns ) + state ( g , ip , el ) % p ( ns + 1 : 2 * ns ) ) , &
constitutive_titanmod_forestProjectionScrew ( 1 : ns , s , myInstance ) ) )
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!* average segment length for edge dislocations in twin
forall ( t = 1 : nt ) &
twinedge_segment ( t ) = &
( constitutive_titanmod_twinCeLambdaSlipPerTwinSystem ( t , myInstance ) ) / &
sqrt ( dot_product ( ( state ( g , ip , el ) % p ( 2 * ns + 1 : 2 * ns + nt ) + state ( g , ip , el ) % p ( 2 * ns + nt + 1 : 2 * ns + 2 * nt ) ) , &
constitutive_titanmod_TwinforestProjectionEdge ( 1 : nt , t , myInstance ) ) )
!* average segment length for screw dislocations in twin
forall ( t = 1 : nt ) &
twinscrew_segment ( t ) = &
( constitutive_titanmod_twinCsLambdaSlipPerTwinSystem ( t , myInstance ) ) / &
sqrt ( dot_product ( ( state ( g , ip , el ) % p ( 2 * ns + 1 : 2 * ns + nt ) + state ( g , ip , el ) % p ( 2 * ns + nt + 1 : 2 * ns + 2 * nt ) ) , &
constitutive_titanmod_TwinforestProjectionScrew ( 1 : nt , t , myInstance ) ) )
j = 0_pInt
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do f = 1 , lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum ( lattice_NslipSystem ( 1 : f - 1 , myStructure ) ) ! at which index starts my family
do i = 1 , constitutive_titanmod_Nslip ( f , myInstance ) ! process each (active) slip system in family
j = j + 1_pInt
! Resolved shear stress
tau_slip ( j ) = dot_product ( Tstar_v , lattice_Sslip_v ( : , index_myFamily + i , myStructure ) )
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if ( myStructure == 3. and . j > 3 ) then ! only for hex and for all the non-basal slip systems
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screwvelocity_kink_prefactor = state ( g , ip , el ) % p ( 3 * ns + 2 * nt + j ) / constitutive_titanmod_rlengthscrew_PerSlipSystem ( j , myInstance )
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else
screwvelocity_kink_prefactor = 1.0_pReal
endif
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!* Stress ratio for edge
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StressRatio_edge_p = ( ( abs ( tau_slip ( j ) ) ) / &
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( constitutive_titanmod_tau0e_PerSlipSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 4 * ns + 3 * nt + j ) ) &
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) ** ( constitutive_titanmod_pe_PerSlipSystem ( j , myInstance ) )
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!* Stress ratio for screw
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StressRatio_screw_p = ( ( abs ( tau_slip ( j ) ) ) / &
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( constitutive_titanmod_tau0s_PerSlipSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 5 * ns + 3 * nt + j ) ) &
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) ** ( constitutive_titanmod_ps_PerSlipSystem ( j , myInstance ) )
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if ( ( 1.0_pReal - StressRatio_edge_p ) > 0.001_pReal ) then
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minusStressRatio_edge_p = 1.0_pReal - StressRatio_edge_p
else
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minusStressRatio_edge_p = 0.001_pReal
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endif
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if ( ( 1 - StressRatio_screw_p ) > 0.001_pReal ) then
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minusStressRatio_screw_p = 1.0_pReal - StressRatio_screw_p
else
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minusStressRatio_screw_p = 0.001_pReal
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endif
!* Boltzmann ratio
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BoltzmannRatio = constitutive_titanmod_f0_PerSlipSystem ( j , myInstance ) / ( kB * Temperature )
! if (tau_slip(j) == 0.0_pReal) then
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! edge_velocity(j) = 0.0_pReal
! screw_velocity(j) = 0.0_pReal
! else
edge_velocity ( j ) = constitutive_titanmod_v0e_PerSlipSystem ( j , myInstance ) * exp ( - BoltzmannRatio * &
( minusStressRatio_edge_p ) ** &
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constitutive_titanmod_qe_PerSlipSystem ( j , myInstance ) )
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screw_velocity ( j ) = screwvelocity_kink_prefactor * constitutive_titanmod_v0s_PerSlipSystem ( j , myInstance ) * &
exp ( - BoltzmannRatio * ( minusStressRatio_screw_p ) ** &
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constitutive_titanmod_qs_PerSlipSystem ( j , myInstance ) )
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! endif
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!* Multiplication of edge dislocations
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DotRhoEdgeGeneration ( j ) = 2.0_pReal * ( state ( g , ip , el ) % p ( ns + j ) * screw_velocity ( j ) / screw_segment ( j ) )
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!* Multiplication of screw dislocations
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DotRhoScrewGeneration ( j ) = 2.0_pReal * ( state ( g , ip , el ) % p ( j ) * edge_velocity ( j ) / edge_segment ( j ) )
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!* Annihilation of edge dislocations
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DotRhoEdgeAnnihilation ( j ) = - ( ( state ( g , ip , el ) % p ( j ) ) ** 2 ) * &
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constitutive_titanmod_capre_PerSlipSystem ( j , myInstance ) * edge_velocity ( j )
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!* Annihilation of screw dislocations
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DotRhoScrewAnnihilation ( j ) = - ( ( state ( g , ip , el ) % p ( ns + j ) ) ** 2 ) * &
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constitutive_titanmod_caprs_PerSlipSystem ( j , myInstance ) * screw_velocity ( j )
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!* Edge dislocation density rate of change
constitutive_titanmod_dotState ( j ) = &
DotRhoEdgeGeneration ( j ) + DotRhoEdgeAnnihilation ( j )
!* Screw dislocation density rate of change
constitutive_titanmod_dotState ( ns + j ) = &
DotRhoScrewGeneration ( j ) + DotRhoScrewAnnihilation ( j )
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enddo
enddo
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!* Twin fraction evolution
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j = 0_pInt
do f = 1 , lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum ( lattice_NtwinSystem ( 1 : f - 1 , MyStructure ) ) ! at which index starts my family
do i = 1 , constitutive_titanmod_Ntwin ( f , myInstance ) ! process each (active) twin system in family
j = j + 1_pInt
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!*************************************************************************
!This was in dislotwin - keeping it for safety
!*************************************************************************
! !* Resolved shear stress on twin system
! tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,myStructure))
! !* Stress ratios
! StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_titanmod_r(myInstance)
!
! !* Shear rates and their derivatives due to twin
! if ( tau_twin(j) > 0.0_pReal ) then
! constitutive_titanmod_dotState(2*ns+j) = &
! (constitutive_titanmod_MaxTwinFraction(myInstance)-sumf)*&
! state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_titanmod_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
! endif
!*************************************************************************
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!* Resolved shear stress on twin system
tau_twin ( j ) = dot_product ( Tstar_v , lattice_Stwin_v ( : , index_myFamily + i , myStructure ) )
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!* Stress ratio for edge
twinStressRatio_edge_p = ( ( abs ( tau_twin ( j ) ) ) / &
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( constitutive_titanmod_twintau0e_PerTwinSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 6 * ns + 5 * nt + j ) ) &
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) ** ( constitutive_titanmod_twinpe_PerTwinSystem ( j , myInstance ) )
!* Stress ratio for screw
twinStressRatio_screw_p = ( ( abs ( tau_twin ( j ) ) ) / &
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( constitutive_titanmod_twintau0s_PerTwinSystem ( j , myInstance ) + state ( g , ip , el ) % p ( 6 * ns + 6 * nt + j ) ) &
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) ** ( constitutive_titanmod_twinps_PerTwinSystem ( j , myInstance ) )
if ( ( 1.0_pReal - twinStressRatio_edge_p ) > 0.001_pReal ) then
twinminusStressRatio_edge_p = 1.0_pReal - twinStressRatio_edge_p
else
twinminusStressRatio_edge_p = 0.001_pReal
endif
if ( ( 1 - twinStressRatio_screw_p ) > 0.001_pReal ) then
twinminusStressRatio_screw_p = 1.0_pReal - twinStressRatio_screw_p
else
twinminusStressRatio_screw_p = 0.001_pReal
endif
!* Boltzmann ratio
BoltzmannRatio = constitutive_titanmod_twinf0_PerTwinSystem ( j , myInstance ) / ( kB * Temperature )
! if (tau_slip(j) == 0.0_pReal) then
! edge_velocity(j) = 0.0_pReal
! screw_velocity(j) = 0.0_pReal
! else
twinedge_velocity ( j ) = constitutive_titanmod_twinv0e_PerTwinSystem ( j , myInstance ) * exp ( - BoltzmannRatio * &
( twinminusStressRatio_edge_p ) ** &
constitutive_titanmod_twinqe_PerTwinSystem ( j , myInstance ) )
twinscrew_velocity ( j ) = constitutive_titanmod_twinv0s_PerTwinSystem ( j , myInstance ) * &
exp ( - BoltzmannRatio * ( twinminusStressRatio_screw_p ) ** &
constitutive_titanmod_twinqs_PerTwinSystem ( j , myInstance ) )
! endif
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!* Multiplication of edge dislocations
TwinDotRhoEdgeGeneration ( j ) = 2.0_pReal * ( state ( g , ip , el ) % p ( 2 * ns + nt + j ) * twinscrew_velocity ( j ) / twinscrew_segment ( j ) )
!* Multiplication of screw dislocations
TwinDotRhoScrewGeneration ( j ) = 2.0_pReal * ( state ( g , ip , el ) % p ( 2 * ns + j ) * twinedge_velocity ( j ) / twinedge_segment ( j ) )
!* Annihilation of edge dislocations
TwinDotRhoEdgeAnnihilation ( j ) = - ( ( state ( g , ip , el ) % p ( 2 * ns + j ) ) ** 2 ) * &
constitutive_titanmod_twincapre_PerTwinSystem ( j , myInstance ) * twinedge_velocity ( j )
!* Annihilation of screw dislocations
TwinDotRhoScrewAnnihilation ( j ) = - ( ( state ( g , ip , el ) % p ( 2 * ns + nt + j ) ) ** 2 ) * &
constitutive_titanmod_twincaprs_PerTwinSystem ( j , myInstance ) * twinscrew_velocity ( j )
!* Edge dislocation density rate of change
constitutive_titanmod_dotState ( 2 * ns + j ) = &
TwinDotRhoEdgeGeneration ( j ) + TwinDotRhoEdgeAnnihilation ( j )
!* Screw dislocation density rate of change
constitutive_titanmod_dotState ( 2 * ns + nt + j ) = &
TwinDotRhoScrewGeneration ( j ) + TwinDotRhoScrewAnnihilation ( j )
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gdot_twin ( j ) = constitutive_titanmod_burgersPerTwinSystem ( j , myInstance ) * ( state ( g , ip , el ) % p ( 2 * ns + j ) * &
twinedge_velocity ( j ) + state ( g , ip , el ) % p ( 2 * ns + nt + j ) * twinscrew_velocity ( j ) ) * sign ( 1.0_pReal , tau_twin ( j ) )
constitutive_titanmod_dotState ( 2 * ns + 2 * nt + j ) = gdot_twin ( j )
enddo
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enddo
!write(6,*) '#DOTSTATE#'
!write(6,*)
!write(6,'(a,/,4(3(f30.20,x)/))') 'tau slip',tau_slip
!write(6,'(a,/,4(3(f30.20,x)/))') 'gamma slip',gdot_slip
!write(6,'(a,/,4(3(f30.20,x)/))') 'rho_edge',state(g,ip,el)%p(1:ns)
!write(6,'(a,/,4(3(f30.20,x)/))') 'Threshold Slip Edge', state(g,ip,el)%p(5*ns+3*nt+1:6*ns+3*nt)
!write(6,'(a,/,4(3(f30.20,x)/))') 'Threshold Slip Screw', state(g,ip,el)%p(6*ns+3*nt+1:7*ns+3*nt)
!write(6,'(a,/,4(3(f30.20,x)/))') 'EdgeGeneration',DotRhoEdgeGeneration
!write(6,'(a,/,4(3(f30.20,x)/))') 'ScrewGeneration',DotRhoScrewGeneration
!write(6,'(a,/,4(3(f30.20,x)/))') 'EdgeAnnihilation',DotRhoEdgeAnnihilation
!write(6,'(a,/,4(3(f30.20,x)/))') 'ScrewAnnihilation',DotRhoScrewAnnihilation
!write(6,'(a,/,4(3(f30.20,x)/))') 'DipClimb',DotRhoEdgeDipClimb
return
end function
pure function constitutive_titanmod_dotTemperature ( Tstar_v , Temperature , state , g , ip , el )
!*********************************************************************
!* rate of change of microstructure *
!* INPUT: *
!* - Temperature : temperature *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - ipc : component-ID at current integration point *
!* - ip : current integration point *
!* - el : current element *
!* OUTPUT: *
!* - constitutive_dotTemperature : evolution of Temperature *
!*********************************************************************
use prec , only : pReal , pInt , p_vec
use mesh , only : mesh_NcpElems , mesh_maxNips
use material , only : homogenization_maxNgrains
implicit none
!* Input-Output variables
integer ( pInt ) , intent ( in ) :: g , ip , el
real ( pReal ) , intent ( in ) :: Temperature
real ( pReal ) , dimension ( 6 ) , intent ( in ) :: Tstar_v
type ( p_vec ) , dimension ( homogenization_maxNgrains , mesh_maxNips , mesh_NcpElems ) , intent ( in ) :: state
real ( pReal ) constitutive_titanmod_dotTemperature
constitutive_titanmod_dotTemperature = 0.0_pReal
return
end function
pure function constitutive_titanmod_postResults ( Tstar_v , Temperature , dt , state , g , ip , el )
!*********************************************************************
!* return array of constitutive results *
!* INPUT: *
!* - Temperature : temperature *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - dt : current time increment *
!* - ipc : component-ID at current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec , only : pReal , pInt , p_vec
use math , only : pi
use mesh , only : mesh_NcpElems , mesh_maxNips
use material , only : homogenization_maxNgrains , material_phase , phase_constitutionInstance , phase_Noutput
use lattice , only : lattice_Sslip_v , lattice_Stwin_v , lattice_maxNslipFamily , lattice_maxNtwinFamily , &
lattice_NslipSystem , lattice_NtwinSystem , lattice_shearTwin
implicit none
!* Definition of variables
integer ( pInt ) , intent ( in ) :: g , ip , el
real ( pReal ) , intent ( in ) :: dt , Temperature
real ( pReal ) , dimension ( 6 ) , intent ( in ) :: Tstar_v
type ( p_vec ) , dimension ( homogenization_maxNgrains , mesh_maxNips , mesh_NcpElems ) , intent ( in ) :: state
integer ( pInt ) myInstance , myStructure , ns , nt , f , o , i , c , j , index_myFamily
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real ( pReal ) sumf , tau , StressRatio_edge_p , StressRatio_screw_p , StressRatio_pminus1 , BoltzmannRatio , DotGamma0 , StressRatio_r , &
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gdot_slip , dgdot_dtauslip
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real ( pReal ) , dimension ( constitutive_titanmod_sizePostResults ( phase_constitutionInstance ( material_phase ( g , ip , el ) ) ) ) :: &
constitutive_titanmod_postResults
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real ( pReal ) , dimension ( constitutive_titanmod_totalNtwin ( phase_constitutionInstance ( material_phase ( g , ip , el ) ) ) ) :: &
volumefraction_pertwinsystem
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!* Shortened notation
myInstance = phase_constitutionInstance ( material_phase ( g , ip , el ) )
myStructure = constitutive_titanmod_structure ( myInstance )
ns = constitutive_titanmod_totalNslip ( myInstance )
nt = constitutive_titanmod_totalNtwin ( myInstance )
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do i = 1 , nt
volumefraction_pertwinsystem ( i ) = state ( g , ip , el ) % p ( 2 * ns + 2 * nt + i ) / &
constitutive_titanmod_twinshearconstant_PerTwinSystem ( i , myInstance )
enddo
!sumf = sum(state(g,ip,el)%p((6*ns+7*nt+1):(6*ns+8*nt))) ! safe for nt == 0
sumf = sum ( abs ( volumefraction_pertwinsystem ( 1 : nt ) ) ) ! safe for nt == 0
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!* Required output
c = 0_pInt
constitutive_titanmod_postResults = 0.0_pReal
do o = 1 , phase_Noutput ( material_phase ( g , ip , el ) )
select case ( constitutive_titanmod_output ( o , myInstance ) )
case ( 'rhoedge' )
constitutive_titanmod_postResults ( c + 1 : c + ns ) = state ( g , ip , el ) % p ( 1 : ns )
c = c + ns
case ( 'rhoscrew' )
constitutive_titanmod_postResults ( c + 1 : c + ns ) = state ( g , ip , el ) % p ( ns + 1 : 2 * ns )
c = c + ns
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case ( 'twinrhoedge' )
constitutive_titanmod_postResults ( c + 1 : c + nt ) = state ( g , ip , el ) % p ( 2 * ns + 1 : 2 * ns + nt )
c = c + nt
case ( 'twinrhoscrew' )
constitutive_titanmod_postResults ( c + 1 : c + nt ) = state ( g , ip , el ) % p ( 2 * ns + nt + 1 : 2 * ns + 2 * nt )
c = c + nt
case ( 'gdot_slip' )
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constitutive_titanmod_postResults ( c + 1 : c + ns ) = state ( g , ip , el ) % p ( ( 12 * ns + 3 * nt + 1 ) : ( 13 * ns + 3 * nt ) )
c = c + ns
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case ( 'gdot_twin' )
constitutive_titanmod_postResults ( c + 1 : c + nt ) = state ( g , ip , el ) % p ( ( 2 * ns + 2 * nt + 1 ) : ( 2 * ns + 3 * nt ) )
c = c + nt
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case ( 'dgdotdtau' )
constitutive_titanmod_postResults ( c + 1 : c + ns ) = state ( g , ip , el ) % p ( ( 13 * ns + 3 * nt + 1 ) : ( 14 * ns + 3 * nt ) )
c = c + ns
case ( 'velocity_edge' )
constitutive_titanmod_postResults ( c + 1 : c + ns ) = state ( g , ip , el ) % p ( ( 7 * ns + 3 * nt + 1 ) : ( 8 * ns + 3 * nt ) )
c = c + ns
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case ( 'twinvelocity_edge' )
constitutive_titanmod_postResults ( c + 1 : c + nt ) = state ( g , ip , el ) % p ( ( 6 * ns + 8 * nt + 1 ) : ( 6 * ns + 9 * nt ) )
c = c + nt
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case ( 'velocity_screw' )
constitutive_titanmod_postResults ( c + 1 : c + ns ) = state ( g , ip , el ) % p ( ( 8 * ns + 3 * nt + 1 ) : ( 9 * ns + 3 * nt ) )
c = c + ns
case ( 'segment_edge' )
constitutive_titanmod_postResults ( c + 1 : c + ns ) = state ( g , ip , el ) % p ( ( 2 * ns + nt + 1 ) : ( 3 * ns + nt ) )
c = c + ns
case ( 'segment_screw' )
constitutive_titanmod_postResults ( c + 1 : c + ns ) = state ( g , ip , el ) % p ( ( 4 * ns + 2 * nt + 1 ) : ( 5 * ns + 2 * nt ) )
c = c + ns
case ( 'resistance_edge' )
constitutive_titanmod_postResults ( c + 1 : c + ns ) = state ( g , ip , el ) % p ( ( 5 * ns + 3 * nt + 1 ) : ( 6 * ns + 3 * nt ) )
c = c + ns
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case ( 'resistance_screw' )
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constitutive_titanmod_postResults ( c + 1 : c + ns ) = state ( g , ip , el ) % p ( ( 6 * ns + 3 * nt + 1 ) : ( 7 * ns + 3 * nt ) )
c = c + ns
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case ( 'tau_slip' )
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constitutive_titanmod_postResults ( c + 1 : c + ns ) = state ( g , ip , el ) % p ( 9 * ns + 3 * nt + 1 : 10 * ns + 3 * nt )
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c = c + ns
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case ( 'edge_generation' )
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j = 0_pInt
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do f = 1 , lattice_maxNslipFamily
index_myFamily = sum ( lattice_NslipSystem ( 1 : f - 1 , myStructure ) )
do i = 1 , constitutive_titanmod_Nslip ( f , myInstance )
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j = j + 1_pInt
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constitutive_titanmod_postResults ( c + j ) = 2.0_pReal * state ( g , ip , el ) % p ( ns + j ) * &
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state ( g , ip , el ) % p ( 8 * ns + 3 * nt + j ) / state ( g , ip , el ) % p ( 4 * ns + 2 * nt + j )
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enddo ; enddo
c = c + ns
case ( 'screw_generation' )
j = 0_pInt
do f = 1 , lattice_maxNslipFamily
index_myFamily = sum ( lattice_NslipSystem ( 1 : f - 1 , myStructure ) )
do i = 1 , constitutive_titanmod_Nslip ( f , myInstance )
j = j + 1_pInt
constitutive_titanmod_postResults ( c + j ) = 2.0_pReal * state ( g , ip , el ) % p ( j ) * &
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state ( g , ip , el ) % p ( 7 * ns + 3 * nt + j ) / state ( g , ip , el ) % p ( 2 * ns + nt + j )
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enddo ; enddo
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c = c + ns
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case ( 'edge_annihilation' )
j = 0_pInt
do f = 1 , lattice_maxNslipFamily
index_myFamily = sum ( lattice_NslipSystem ( 1 : f - 1 , myStructure ) )
do i = 1 , constitutive_titanmod_Nslip ( f , myInstance )
j = j + 1_pInt
constitutive_titanmod_postResults ( c + j ) = - ( ( state ( g , ip , el ) % p ( j ) ) ** 2 ) * &
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constitutive_titanmod_capre_PerSlipSystem ( j , myInstance ) * state ( g , ip , el ) % p ( 7 * ns + 3 * nt + j )
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enddo ; enddo
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c = c + ns
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case ( 'screw_annihilation' )
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j = 0_pInt
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do f = 1 , lattice_maxNslipFamily
index_myFamily = sum ( lattice_NslipSystem ( 1 : f - 1 , myStructure ) )
do i = 1 , constitutive_titanmod_Nslip ( f , myInstance )
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j = j + 1_pInt
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constitutive_titanmod_postResults ( c + j ) = - ( ( state ( g , ip , el ) % p ( ns + j ) ) ** 2 ) * &
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constitutive_titanmod_caprs_PerSlipSystem ( j , myInstance ) * state ( g , ip , el ) % p ( 8 * ns + 3 * nt + j )
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enddo ; enddo
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c = c + ns
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case ( 'total_generation' )
j = 0_pInt
do f = 1 , lattice_maxNslipFamily
index_myFamily = sum ( lattice_NslipSystem ( 1 : f - 1 , myStructure ) )
do i = 1 , constitutive_titanmod_Nslip ( f , myInstance )
j = j + 1_pInt
constitutive_titanmod_postResults ( c + j ) = 2.0_pReal * state ( g , ip , el ) % p ( ns + j ) * &
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state ( g , ip , el ) % p ( 8 * ns + 3 * nt + j ) / state ( g , ip , el ) % p ( 4 * ns + 2 * nt + j ) + 2.0_pReal * state ( g , ip , el ) % p ( j ) * &
state ( g , ip , el ) % p ( 7 * ns + 3 * nt + j ) / state ( g , ip , el ) % p ( 2 * ns + nt + j )
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enddo ; enddo
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c = c + ns
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case ( 'total_annihilation' )
j = 0_pInt
do f = 1 , lattice_maxNslipFamily
index_myFamily = sum ( lattice_NslipSystem ( 1 : f - 1 , myStructure ) )
do i = 1 , constitutive_titanmod_Nslip ( f , myInstance )
j = j + 1_pInt
constitutive_titanmod_postResults ( c + j ) = - ( ( state ( g , ip , el ) % p ( j ) ) ** 2 ) * &
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constitutive_titanmod_capre_PerSlipSystem ( j , myInstance ) * state ( g , ip , el ) % p ( 7 * ns + 3 * nt + j ) - &
( ( state ( g , ip , el ) % p ( ns + j ) ) ** 2 ) * constitutive_titanmod_caprs_PerSlipSystem ( j , myInstance ) * &
state ( g , ip , el ) % p ( 8 * ns + 3 * nt + j )
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enddo ; enddo
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c = c + ns
case ( 'total_density' )
constitutive_titanmod_postResults ( c + 1 : c + ns ) = state ( g , ip , el ) % p ( 1 : ns ) + state ( g , ip , el ) % p ( ns + 1 : 2 * ns )
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c = c + ns
case ( 'twin_fraction' )
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constitutive_titanmod_postResults ( c + 1 : c + nt ) = volumefraction_pertwinsystem ( 1 : nt )
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c = c + nt
end select
enddo
return
end function
END MODULE
