2381 lines
142 KiB
Fortran
2381 lines
142 KiB
Fortran
!* $Id: constitutive_titanmod.f90 519 2010-03-24 08:17:27Z MPIE\f.roters $
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!************************************
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!* Module: CONSTITUTIVE *
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!************************************
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! Parameters for titanium
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! [titanmod]
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! constitution titanmod
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! (output) rhoedge
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! (output) rhoscrew
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! (output) velocity_edge
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! (output) velocity_screw
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! (output) rss_slip
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! (output) gamma_dot
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! (output) resistance_edge
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! (output) resistance_screw
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! (output) segment_edge
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! (output) segment_screw
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! (output) total_generation
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! (output) total_annihilation
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! (output) total_density
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! lattice_structure hex
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! covera_ratio 1.587
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! c11 162.2e9
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! c12 91.8e9
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! c13 68.8e9
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! c33 180.5e9
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! c44 46.7e9
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! nslip 3 3 6 0 # per family
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! ntwin 0 0 0 0 # per family
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! rho_edge0 1.66e9 1.66e9 1.66e9 1.66e9
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! rho_screw0 1.66e9 1.66e9 1.66e9 1.66e9
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! slipburgers 2.86e-10 2.86e-10 2.86e-10 2.86e-10 # per family
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! twinburgers 2.86e-10 2.86e-10 2.86e-10 2.86e-10
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! f0 3.0e-19 3.0e-19 3.0e-19 3.0e-19
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! v0e 1e-1 10e0 1e0 1e0
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! v0s 1e-1 1e0 1e0 1e0
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! ndot0 1 1 1 1
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! twinsize 1e-05 5e-05 1e-05 1e-05
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! celambdaslip 1.0 1.0 1.0 1.0
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! cslambdaslip 1.0 1.0 1.0 1.0
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! rlengthscrew 1e-6 1e-6 1e-6 1e-6
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! grainsize 10e-6
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! maxtwinfraction 0.7
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! pe 0.61 0.45 0.61 0.61
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! ps 0.61 0.45 0.61 0.61
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! qe 1.40 1.60 1.40 1.40
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! qs 1.40 1.60 1.40 1.40
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! rexponent 0.2 0.2 0.2 0.2
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! d0 0.2e-5 0.2e-5 0.2e-5 0.2e-5
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! qsd 3.0e-19 3.0e-19 3.0e-19 3.0e-19
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! cmfptwin 0.5
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! cthresholdtwin 0.1
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! cedgedipmindistance 50
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! catomicvolume 10e-15
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! tau0e 20e6 24e6 47e6 47e6 # per family
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! tau0s 20e6 24e6 50e6 50e6 # per family
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! capre 1.6e-9 5.6e-9 10.6e-9 10.6e-9
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! caprs 10.6e-9 110.6e-9 10.6e-9 10.6e-9
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! # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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! 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
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! 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
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! 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
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! 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
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! relevantRho 1.e1
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! Parameters for aluminum
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! [alumod]
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! constitution titanmod
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! (output) rhoedge
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! (output) rhoscrew
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! (output) velocity_edge
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! (output) velocity_screw
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! (output) rss_slip
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! (output) gamma_dot
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! (output) dgdotdtau
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! (output) resistance_edge
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! (output) resistance_screw
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! (output) segment_edge
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! (output) segment_screw
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! (output) total_generation
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! (output) total_annihilation
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! (output) total_density
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! (output) stressratio_edgep
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! (output) stressratio_screwp
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! lattice_structure fcc
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! covera_ratio 1.587
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! c11 106.75e9
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! c12 60.41e9
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! c44 28.34e9
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! c13 68.8e9
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! c33 180.5e9
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! nslip 12 0 0 0 # per family
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! ntwin 0 0 0 0 # per family
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! rho_edge0 5.56e8 0 0 0
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! 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
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! f0 3.2e-19 0 0 0
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! v0e 1e-1 0 0 0
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! v0s 1e-1 0 0 0
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! ndot0 1 0 0 0
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! twinsize 1e-05 0 0 0
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! celambdaslip 1.0 0 0 0
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! cslambdaslip 1.0 0 0 0
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! rlengthscrew 1e-6 1e-6 1e-6 1e-6
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! grainsize 10e-6
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! maxtwinfraction 0.7
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! pe 0.11 0 0 0
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! ps 0.11 0 0 0
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! qe 1.41 0 0 0
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! qs 1.41 0 0 0
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! rexponent 0.2 0 0 0
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! d0 0.2e-5 0 0 0
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! qsd 3.0e-19 0 0 0
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! cmfptwin 0.5
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! cthresholdtwin 0.1
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! cedgedipmindistance 50
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! catomicvolume 10e-15
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! tau0e 5e6 0 0 0 # per family
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! tau0s 5e6 0 0 0 # per family
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! capre 10.6e-9 0 0 0
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! 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
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! # Devincre : 0.122 0.122 0.625 0.07 0.137 0.122
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! # Arsenlis : G0=0.10, G1=0.22, G2=0.30, G3=0.38, G4=0.16, G5=0.40
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! #G3=glissile, G4=Hirth lock, G5=Lomer-Cottrell lock, G2=cross-slip interaction, G0=same Burgers vector and parallel plane (self interaction)
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! #G1=different Burgers vectors but parallel slip planes
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! #! Interaction types
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! #! 1 --- self interaction, G0
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! #! 2 --- coplanar interaction, G1
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! #! 3 --- collinear interaction, G2
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! #! 4 --- Hirth locks, G3
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! #! 5 --- glissile junctions, G4
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! #! 6 --- Lomer locks, G5
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! 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
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! 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
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! 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
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! relevantRho 1.e1
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MODULE constitutive_titanmod
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!* Include other modules
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use prec, only: pReal,pInt
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implicit none
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!* Lists of states and physical parameters
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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'/)
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character(len=18), dimension(3), parameter:: constitutive_titanmod_listBasicTwinStates = (/'twinrho_edge', &
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'twinrho_screw', &
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'gdot_twin'/)
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character(len=18), dimension(8), parameter:: constitutive_titanmod_listDependentSlipStates =(/'segment_edge', &
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'segment_screw', &
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'resistance_edge', &
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'resistance_screw', &
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'tau_slip', &
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'gdot_slip', &
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'velocity_edge', &
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'velocity_screw' &
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/)
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character(len=18), dimension(8), parameter:: constitutive_titanmod_listDependentTwinStates =(/'twin_fraction', &
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'tau_twin', &
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'twinsegment_edge', &
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'twinsegment_screw', &
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'twinresistance_edge', &
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'twinresistance_screw', &
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'twinvelocity_edge', &
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'twinvelocity_screw' &
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/)
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real(pReal), parameter :: kB = 1.38e-23_pReal ! Boltzmann constant in J/Kelvin
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!* Definition of global variables
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integer(pInt), dimension(:), allocatable :: constitutive_titanmod_sizeDotState, & ! number of dotStates
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constitutive_titanmod_sizeState, & ! total number of microstructural state variables
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constitutive_titanmod_sizePostResults ! cumulative size of post results
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integer(pInt), dimension(:,:), allocatable, target :: constitutive_titanmod_sizePostResult ! size of each post result output
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character(len=64), dimension(:,:), allocatable, target :: constitutive_titanmod_output ! name of each post result output
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character(len=32), dimension(:), allocatable :: constitutive_titanmod_structureName ! name of the lattice structure
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integer(pInt), dimension(:), allocatable :: constitutive_titanmod_structure, & ! number representing the kind of lattice structure
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constitutive_titanmod_totalNslip, & ! total number of active slip systems for each instance
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constitutive_titanmod_totalNtwin ! total number of active twin systems for each instance
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integer(pInt), dimension(:,:), allocatable :: constitutive_titanmod_Nslip, & ! number of active slip systems for each family and instance
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constitutive_titanmod_Ntwin, & ! number of active twin systems for each family and instance
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constitutive_titanmod_slipFamily, & ! lookup table relating active slip system to slip family for each instance
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constitutive_titanmod_twinFamily, & ! lookup table relating active twin system to twin family for each instance
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constitutive_titanmod_slipSystemLattice, & ! lookup table relating active slip system index to lattice slip system index for each instance
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constitutive_titanmod_twinSystemLattice ! lookup table relating active twin system index to lattice twin system index for each instance
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real(pReal), dimension(:), allocatable :: constitutive_titanmod_CoverA, & ! c/a ratio for hex type lattice
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constitutive_titanmod_C11, & ! C11 element in elasticity matrix
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constitutive_titanmod_C12, & ! C12 element in elasticity matrix
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constitutive_titanmod_C13, & ! C13 element in elasticity matrix
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constitutive_titanmod_C33, & ! C33 element in elasticity matrix
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constitutive_titanmod_C44, & ! C44 element in elasticity matrix
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constitutive_titanmod_Gmod, & ! shear modulus
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constitutive_titanmod_CAtomicVolume, & ! atomic volume in Bugers vector unit
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constitutive_titanmod_dc, & ! prefactor for self-diffusion coefficient
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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
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constitutive_titanmod_r, & ! r-exponent in twin nucleation rate
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constitutive_titanmod_CEdgeDipMinDistance, & ! Not being used
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constitutive_titanmod_Cmfptwin, & ! Not being used
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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
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real(pReal), dimension(:,:,:,:), allocatable :: constitutive_titanmod_Ctwin_66 ! twin elasticity matrix in Mandel notation for each instance
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real(pReal), dimension(:,:,:,:,:), allocatable :: constitutive_titanmod_Cslip_3333 ! elasticity matrix for each instance
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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
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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
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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
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constitutive_titanmod_burgersPerSlipSystem, & ! absolute length of burgers vector [m] for each slip system and instance
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constitutive_titanmod_burgersPerTwinFamily, & ! absolute length of burgers vector [m] for each twin family and instance
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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
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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
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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
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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
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constitutive_titanmod_tau0e_PerSlipSystem, & ! Initial yield stress for edge dislocations per slip system
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constitutive_titanmod_tau0s_PerSlipFamily, & ! Initial yield stress for screw dislocations per slip family
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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
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constitutive_titanmod_twintau0e_PerTwinSystem, & ! Initial yield stress for edge dislocations per twin system
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constitutive_titanmod_twintau0s_PerTwinFamily, & ! Initial yield stress for screw dislocations per twin family
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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
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constitutive_titanmod_capre_PerSlipSystem, & ! Capture radii for edge dislocations per slip system
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constitutive_titanmod_caprs_PerSlipFamily, & ! Capture radii for screw dislocations per slip family
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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
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constitutive_titanmod_twincapre_PerTwinSystem, & ! Capture radii for edge dislocations per twin system
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constitutive_titanmod_twincaprs_PerTwinFamily, & ! Capture radii for screw dislocations per twin family
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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
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constitutive_titanmod_ps_PerSlipFamily, & ! p-exponent in glide velocity
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constitutive_titanmod_qe_PerSlipFamily, & ! q-exponent in glide velocity
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constitutive_titanmod_qs_PerSlipFamily, & ! q-exponent in glide velocity
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constitutive_titanmod_pe_PerSlipSystem, & ! p-exponent in glide velocity
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constitutive_titanmod_ps_PerSlipSystem, & ! p-exponent in glide velocity
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constitutive_titanmod_qe_PerSlipSystem, & ! q-exponent in glide velocity
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constitutive_titanmod_qs_PerSlipSystem, & ! q-exponent in glide velocity
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constitutive_titanmod_twinpe_PerTwinFamily, & ! p-exponent in glide velocity
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constitutive_titanmod_twinps_PerTwinFamily, & ! p-exponent in glide velocity
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constitutive_titanmod_twinqe_PerTwinFamily, & ! q-exponent in glide velocity
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constitutive_titanmod_twinqs_PerTwinFamily, & ! q-exponent in glide velocity
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constitutive_titanmod_twinpe_PerTwinSystem, & ! p-exponent in glide velocity
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constitutive_titanmod_twinps_PerTwinSystem, & ! p-exponent in glide velocity
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constitutive_titanmod_twinqe_PerTwinSystem, & ! q-exponent in glide velocity
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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
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constitutive_titanmod_v0e_PerSlipSystem, & ! screw dislocation velocity prefactor [m/s] for each slip system and instance
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constitutive_titanmod_v0s_PerSlipFamily, & ! edge dislocation velocity prefactor [m/s] for each family and instance
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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
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constitutive_titanmod_twinv0e_PerTwinSystem, & ! screw dislocation velocity prefactor [m/s] for each slip system and instance
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constitutive_titanmod_twinv0s_PerTwinFamily, & ! edge dislocation velocity prefactor [m/s] for each family and instance
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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
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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
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constitutive_titanmod_Ndot0PerTwinSystem, & ! twin nucleation rate [1/m³s] for each twin system and instance
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constitutive_titanmod_twinsizePerTwinFamily, & ! twin thickness [m] for each twin family and instance
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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
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constitutive_titanmod_CeLambdaSlipPerSlipSystem, & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance
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constitutive_titanmod_CsLambdaSlipPerSlipFamily, & ! Adj. parameter for distance between 2 forest dislocations for each slip family and instance
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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
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constitutive_titanmod_twinCeLambdaSlipPerTwinSystem, & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance
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constitutive_titanmod_twinCsLambdaSlipPerTwinFamily, & ! Adj. parameter for distance between 2 forest dislocations for each slip family and instance
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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
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constitutive_titanmod_interaction_ss, & ! coefficients for s-s interaction for each interaction type and instance
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constitutive_titanmod_interaction_es, & ! coefficients for e-s-twin interaction for each interaction type and instance
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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
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constitutive_titanmod_interactionTwinTwin ! coefficients for twin-twin interaction for each interaction type and instance
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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
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constitutive_titanmod_interactionMatrix_ss, & ! interaction matrix of s-s for each instance
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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
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constitutive_titanmod_interactionMatrixTwinSlip, & ! interaction matrix of twin systems with slip systems for each instance
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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
|
|
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
|
|
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
|
|
!****************************************
|
|
|
|
|
|
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
|
|
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
|
|
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))
|
|
allocate(constitutive_titanmod_dc(maxNinstance))
|
|
allocate(constitutive_titanmod_twinhpconstant(maxNinstance))
|
|
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
|
|
constitutive_titanmod_dc = 0.0_pReal
|
|
constitutive_titanmod_twinhpconstant = 0.0_pReal
|
|
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))
|
|
allocate(constitutive_titanmod_rlengthscrew_PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
|
|
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))
|
|
|
|
allocate(constitutive_titanmod_twinrho_edge0(lattice_maxNtwinFamily,maxNinstance))
|
|
allocate(constitutive_titanmod_twinrho_screw0(lattice_maxNtwinFamily,maxNinstance))
|
|
allocate(constitutive_titanmod_twinf0_PerTwinFamily(lattice_maxNTwinFamily,maxNinstance))
|
|
allocate(constitutive_titanmod_twinshearconstant_PerTwinFamily(lattice_maxNTwinFamily,maxNinstance))
|
|
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))
|
|
|
|
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
|
|
constitutive_titanmod_rlengthscrew_PerSlipFamily = 0.0_pReal
|
|
constitutive_titanmod_Ndot0PerTwinFamily = 0.0_pReal
|
|
constitutive_titanmod_twinsizePerTwinFamily = 0.0_pReal
|
|
constitutive_titanmod_CeLambdaSlipPerSlipFamily = 0.0_pReal
|
|
constitutive_titanmod_CsLambdaSlipPerSlipFamily = 0.0_pReal
|
|
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
|
|
|
|
constitutive_titanmod_twinrho_edge0 = 0.0_pReal
|
|
constitutive_titanmod_twinrho_screw0 = 0.0_pReal
|
|
constitutive_titanmod_twinf0_PerTwinFamily = 0.0_pReal
|
|
constitutive_titanmod_twinshearconstant_PerTwinFamily = 0.0_pReal
|
|
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
|
|
|
|
allocate(constitutive_titanmod_interactionSlipSlip(lattice_maxNinteraction,maxNinstance))
|
|
allocate(constitutive_titanmod_interaction_ee(lattice_maxNinteraction,maxNinstance))
|
|
allocate(constitutive_titanmod_interaction_ss(lattice_maxNinteraction,maxNinstance))
|
|
allocate(constitutive_titanmod_interaction_es(lattice_maxNinteraction,maxNinstance))
|
|
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
|
|
constitutive_titanmod_interaction_ee = 0.0_pReal
|
|
constitutive_titanmod_interaction_ss = 0.0_pReal
|
|
constitutive_titanmod_interaction_ss = 0.0_pReal
|
|
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))
|
|
write(6,*) tag
|
|
case ('lattice_structure')
|
|
constitutive_titanmod_structureName(i) = IO_lc(IO_stringValue(line,positions,2))
|
|
write(6,*) tag
|
|
case ('covera_ratio')
|
|
constitutive_titanmod_CoverA(i) = IO_floatValue(line,positions,2)
|
|
write(6,*) tag
|
|
case ('c11')
|
|
constitutive_titanmod_C11(i) = IO_floatValue(line,positions,2)
|
|
write(6,*) tag,constitutive_titanmod_C11(i)
|
|
case ('c12')
|
|
constitutive_titanmod_C12(i) = IO_floatValue(line,positions,2)
|
|
write(6,*) tag,constitutive_titanmod_C12(i)
|
|
case ('c13')
|
|
constitutive_titanmod_C13(i) = IO_floatValue(line,positions,2)
|
|
write(6,*) tag,constitutive_titanmod_C13(i)
|
|
case ('c33')
|
|
constitutive_titanmod_C33(i) = IO_floatValue(line,positions,2)
|
|
write(6,*) tag,constitutive_titanmod_C33(i)
|
|
case ('c44')
|
|
constitutive_titanmod_C44(i) = IO_floatValue(line,positions,2)
|
|
write(6,*) tag,constitutive_titanmod_C44(i)
|
|
case ('nslip')
|
|
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)
|
|
case ('ntwin')
|
|
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)
|
|
case ('rho_edge0')
|
|
forall (j = 1:lattice_maxNslipFamily) &
|
|
constitutive_titanmod_rho_edge0(j,i) = IO_floatValue(line,positions,1+j)
|
|
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)
|
|
case ('rho_screw0')
|
|
forall (j = 1:lattice_maxNslipFamily) &
|
|
constitutive_titanmod_rho_screw0(j,i) = IO_floatValue(line,positions,1+j)
|
|
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)
|
|
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)
|
|
case ('slipburgers')
|
|
forall (j = 1:lattice_maxNslipFamily) &
|
|
constitutive_titanmod_burgersPerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
write(6,*) tag,constitutive_titanmod_burgersPerSlipFamily(1,i),constitutive_titanmod_burgersPerSlipFamily(2,i), &
|
|
constitutive_titanmod_burgersPerSlipFamily(3,i), constitutive_titanmod_burgersPerSlipFamily(4,i)
|
|
case ('twinburgers')
|
|
forall (j = 1:lattice_maxNtwinFamily) &
|
|
constitutive_titanmod_burgersPerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
write(6,*) tag
|
|
case ('f0')
|
|
forall (j = 1:lattice_maxNslipFamily) &
|
|
constitutive_titanmod_f0_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
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)
|
|
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)
|
|
case ('tau0e')
|
|
forall (j = 1:lattice_maxNslipFamily) &
|
|
constitutive_titanmod_tau0e_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
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)
|
|
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)
|
|
case ('tau0s')
|
|
forall (j = 1:lattice_maxNslipFamily) &
|
|
constitutive_titanmod_tau0s_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
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)
|
|
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)
|
|
case ('capre')
|
|
forall (j = 1:lattice_maxNslipFamily) &
|
|
constitutive_titanmod_capre_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
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)
|
|
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)
|
|
case ('caprs')
|
|
forall (j = 1:lattice_maxNslipFamily) &
|
|
constitutive_titanmod_caprs_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
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)
|
|
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)
|
|
case ('v0e')
|
|
forall (j = 1:lattice_maxNslipFamily) &
|
|
constitutive_titanmod_v0e_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
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)
|
|
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)
|
|
case ('v0s')
|
|
forall (j = 1:lattice_maxNslipFamily) &
|
|
constitutive_titanmod_v0s_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
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)
|
|
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)
|
|
case ('rlengthscrew')
|
|
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)
|
|
case ('ndot0')
|
|
forall (j = 1:lattice_maxNtwinFamily) &
|
|
constitutive_titanmod_Ndot0PerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
write(6,*) tag
|
|
case ('twinsize')
|
|
forall (j = 1:lattice_maxNtwinFamily) &
|
|
constitutive_titanmod_twinsizePerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
write(6,*) tag
|
|
case ('celambdaslip')
|
|
forall (j = 1:lattice_maxNslipFamily) &
|
|
constitutive_titanmod_CeLambdaSlipPerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
write(6,*) tag
|
|
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)
|
|
case ('cslambdaslip')
|
|
forall (j = 1:lattice_maxNslipFamily) &
|
|
constitutive_titanmod_CsLambdaSlipPerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
write(6,*) tag
|
|
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)
|
|
case ('grainsize')
|
|
constitutive_titanmod_GrainSize(i) = IO_floatValue(line,positions,2)
|
|
write(6,*) tag
|
|
case ('maxtwinfraction')
|
|
constitutive_titanmod_MaxTwinFraction(i) = IO_floatValue(line,positions,2)
|
|
write(6,*) tag
|
|
case ('pe')
|
|
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
|
|
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)
|
|
case ('ps')
|
|
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
|
|
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)
|
|
case ('qe')
|
|
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
|
|
case ('twinqe')
|
|
forall (j = 1:lattice_maxNtwinFamily) &
|
|
constitutive_titanmod_twinqe_PerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
|
|
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)
|
|
case ('qs')
|
|
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
|
|
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)
|
|
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)
|
|
write(6,*) tag
|
|
case ('twinhpconstant')
|
|
constitutive_titanmod_twinhpconstant(i) = IO_floatValue(line,positions,2)
|
|
write(6,*) tag
|
|
case ('relevantrho')
|
|
constitutive_titanmod_relevantRho(i) = IO_floatValue(line,positions,2)
|
|
write(6,*) tag
|
|
case ('interactionslipslip')
|
|
forall (j = 1:lattice_maxNinteraction) &
|
|
constitutive_titanmod_interactionSlipSlip(j,i) = IO_floatValue(line,positions,1+j)
|
|
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
|
|
case ('interactionsliptwin')
|
|
forall (j = 1:lattice_maxNinteraction) &
|
|
constitutive_titanmod_interactionSlipTwin(j,i) = IO_floatValue(line,positions,1+j)
|
|
write(6,*) tag
|
|
case ('interactiontwinslip')
|
|
forall (j = 1:lattice_maxNinteraction) &
|
|
constitutive_titanmod_interactionTwinSlip(j,i) = IO_floatValue(line,positions,1+j)
|
|
write(6,*) tag
|
|
case ('interactiontwintwin')
|
|
forall (j = 1:lattice_maxNinteraction) &
|
|
constitutive_titanmod_interactionTwinTwin(j,i) = IO_floatValue(line,positions,1+j)
|
|
write(6,*) tag
|
|
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)
|
|
if (sum(constitutive_titanmod_Nslip(:,i)) <= 0_pInt) call IO_error(207)
|
|
if (sum(constitutive_titanmod_Ntwin(:,i)) < 0_pInt) call IO_error(208) !***
|
|
do f = 1,lattice_maxNslipFamily
|
|
if (constitutive_titanmod_Nslip(f,i) > 0_pInt) then
|
|
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)
|
|
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)
|
|
if (constitutive_titanmod_v0s_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(226)
|
|
if (constitutive_titanmod_rlengthscrew_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(238)
|
|
endif
|
|
enddo
|
|
do f = 1,lattice_maxNtwinFamily
|
|
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)
|
|
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) !***
|
|
if (constitutive_titanmod_twinf0_PerTwinFamily(f,i) <= 0.0_pReal) call IO_error(228)
|
|
if (constitutive_titanmod_twinshearconstant_PerTwinFamily(f,i) <= 0.0_pReal) call IO_error(228)
|
|
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)
|
|
endif
|
|
enddo
|
|
! if (any(constitutive_titanmod_interactionSlipSlip(1:maxval(lattice_interactionSlipSlip(:,:,myStructure)),i) < 1.0_pReal)) call IO_error(229)
|
|
! 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)
|
|
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))
|
|
allocate(constitutive_titanmod_rlengthscrew_PerSlipSystem(maxTotalNslip,maxNinstance))
|
|
|
|
allocate(constitutive_titanmod_twinf0_PerTwinSystem(maxTotalNTwin,maxNinstance))
|
|
allocate(constitutive_titanmod_twinshearconstant_PerTwinSystem(maxTotalNTwin,maxNinstance))
|
|
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))
|
|
|
|
allocate(constitutive_titanmod_Ndot0PerTwinSystem(maxTotalNtwin, maxNinstance))
|
|
allocate(constitutive_titanmod_twinsizePerTwinSystem(maxTotalNtwin, maxNinstance))
|
|
allocate(constitutive_titanmod_CeLambdaSlipPerSlipSystem(maxTotalNslip, maxNinstance))
|
|
allocate(constitutive_titanmod_CsLambdaSlipPerSlipSystem(maxTotalNslip, maxNinstance))
|
|
|
|
allocate(constitutive_titanmod_twinCeLambdaSlipPerTwinSystem(maxTotalNtwin, maxNinstance))
|
|
allocate(constitutive_titanmod_twinCsLambdaSlipPerTwinSystem(maxTotalNtwin, maxNinstance))
|
|
|
|
constitutive_titanmod_burgersPerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_burgersPerTwinSystem = 0.0_pReal
|
|
constitutive_titanmod_f0_PerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_tau0e_PerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_tau0s_PerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_capre_PerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_caprs_PerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_v0e_PerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_v0s_PerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_rlengthscrew_PerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_pe_PerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_ps_PerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_qe_PerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_qs_PerSlipSystem = 0.0_pReal
|
|
|
|
constitutive_titanmod_twinf0_PerTwinSystem = 0.0_pReal
|
|
constitutive_titanmod_twinshearconstant_PerTwinSystem = 0.0_pReal
|
|
constitutive_titanmod_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
|
|
|
|
constitutive_titanmod_Ndot0PerTwinSystem = 0.0_pReal
|
|
constitutive_titanmod_twinsizePerTwinSystem = 0.0_pReal
|
|
constitutive_titanmod_CeLambdaSlipPerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_CsLambdaSlipPerSlipSystem = 0.0_pReal
|
|
constitutive_titanmod_twinCeLambdaSlipPerTwinSystem = 0.0_pReal
|
|
constitutive_titanmod_twinCsLambdaSlipPerTwinSystem = 0.0_pReal
|
|
|
|
allocate(constitutive_titanmod_interactionMatrixSlipSlip(maxTotalNslip,maxTotalNslip,maxNinstance))
|
|
allocate(constitutive_titanmod_interactionMatrix_ee(maxTotalNslip,maxTotalNslip,maxNinstance))
|
|
allocate(constitutive_titanmod_interactionMatrix_ss(maxTotalNslip,maxTotalNslip,maxNinstance))
|
|
allocate(constitutive_titanmod_interactionMatrix_es(maxTotalNslip,maxTotalNslip,maxNinstance))
|
|
allocate(constitutive_titanmod_interactionMatrixSlipTwin(maxTotalNslip,maxTotalNtwin,maxNinstance))
|
|
allocate(constitutive_titanmod_interactionMatrixTwinSlip(maxTotalNtwin,maxTotalNslip,maxNinstance))
|
|
allocate(constitutive_titanmod_interactionMatrixTwinTwin(maxTotalNtwin,maxTotalNtwin,maxNinstance))
|
|
allocate(constitutive_titanmod_forestProjectionEdge(maxTotalNslip,maxTotalNslip,maxNinstance))
|
|
allocate(constitutive_titanmod_forestProjectionScrew(maxTotalNslip,maxTotalNslip,maxNinstance))
|
|
allocate(constitutive_titanmod_TwinforestProjectionEdge(maxTotalNtwin,maxTotalNtwin,maxNinstance))
|
|
allocate(constitutive_titanmod_TwinforestProjectionScrew(maxTotalNtwin,maxTotalNtwin,maxNinstance))
|
|
constitutive_titanmod_interactionMatrixSlipSlip = 0.0_pReal
|
|
constitutive_titanmod_interactionMatrix_ee = 0.0_pReal
|
|
constitutive_titanmod_interactionMatrix_ss = 0.0_pReal
|
|
constitutive_titanmod_interactionMatrix_es = 0.0_pReal
|
|
constitutive_titanmod_interactionMatrixSlipTwin = 0.0_pReal
|
|
constitutive_titanmod_interactionMatrixTwinSlip = 0.0_pReal
|
|
constitutive_titanmod_interactionMatrixTwinTwin = 0.0_pReal
|
|
constitutive_titanmod_forestProjectionEdge = 0.0_pReal
|
|
constitutive_titanmod_forestProjectionScrew = 0.0_pReal
|
|
constitutive_titanmod_TwinforestProjectionEdge = 0.0_pReal
|
|
constitutive_titanmod_TwinforestProjectionScrew = 0.0_pReal
|
|
|
|
allocate(constitutive_titanmod_Ctwin_66(6,6,maxTotalNtwin,maxNinstance))
|
|
allocate(constitutive_titanmod_Ctwin_3333(3,3,3,3,maxTotalNtwin,maxNinstance))
|
|
constitutive_titanmod_Ctwin_66 = 0.0_pReal
|
|
constitutive_titanmod_Ctwin_3333 = 0.0_pReal
|
|
|
|
write(6,*) 'Allocated slip system variables'
|
|
do i = 1,maxNinstance
|
|
myStructure = constitutive_titanmod_structure(i)
|
|
|
|
!* Inverse lookup of slip system family
|
|
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
|
|
|
|
!* Inverse lookup of twin system family
|
|
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', &
|
|
'segment_edge', &
|
|
'segment_screw', &
|
|
'resistance_edge', &
|
|
'resistance_screw', &
|
|
'tau_slip', &
|
|
'gdot_slip', &
|
|
'velocity_edge', &
|
|
'velocity_screw', &
|
|
'total_density' &
|
|
)
|
|
mySize = constitutive_titanmod_totalNslip(i)
|
|
case('twinrhoedge', &
|
|
'twinrhoscrew', &
|
|
'twin_fraction', &
|
|
'gdot_twin', &
|
|
'tau_twin', &
|
|
'twinsegment_edge', &
|
|
'twinsegment_screw', &
|
|
'twinresistance_edge', &
|
|
'twinresistance_screw', &
|
|
'twinvelocity_edge', &
|
|
'twinvelocity_screw', &
|
|
'twintotal_density' &
|
|
)
|
|
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
|
|
do k=1,constitutive_titanmod_Ntwin(j,i)
|
|
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
|
|
|
|
!* Burgers vector, dislocation velocity prefactor for each slip system
|
|
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)
|
|
constitutive_titanmod_rlengthscrew_PerSlipSystem(s,i) = constitutive_titanmod_rlengthscrew_PerSlipFamily(f,i)
|
|
constitutive_titanmod_pe_PerSlipSystem(s,i) = constitutive_titanmod_pe_PerSlipFamily(f,i)
|
|
constitutive_titanmod_ps_PerSlipSystem(s,i) = constitutive_titanmod_ps_PerSlipFamily(f,i)
|
|
constitutive_titanmod_qe_PerSlipSystem(s,i) = constitutive_titanmod_qe_PerSlipFamily(f,i)
|
|
constitutive_titanmod_qs_PerSlipSystem(s,i) = constitutive_titanmod_qs_PerSlipFamily(f,i)
|
|
constitutive_titanmod_CeLambdaSlipPerSlipSystem(s,i) = constitutive_titanmod_CeLambdaSlipPerSlipFamily(f,i)
|
|
constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,i) = constitutive_titanmod_CsLambdaSlipPerSlipFamily(f,i)
|
|
enddo
|
|
|
|
!* Burgers vector, nucleation rate prefactor and twin size for each twin system
|
|
do 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)
|
|
|
|
constitutive_titanmod_twinf0_PerTwinSystem(s,i) = constitutive_titanmod_twinf0_PerTwinFamily(f,i)
|
|
constitutive_titanmod_twinshearconstant_PerTwinSystem(s,i) = constitutive_titanmod_twinshearconstant_PerTwinFamily(f,i)
|
|
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
|
|
|
|
!* 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
|
|
|
|
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
|
|
|
|
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
|
|
|
|
!* 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
|
|
|
|
! 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
|
|
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
|
|
integer(pInt) s0,s1,s,t,f,ns,nt,ts0,ts1,tf,ts
|
|
real(pReal), dimension(constitutive_titanmod_totalNslip(myInstance)) :: rho_edge0, &
|
|
rho_screw0, &
|
|
segment_edge0, &
|
|
segment_screw0, &
|
|
resistance_edge0, &
|
|
resistance_screw0
|
|
real(pReal), dimension(constitutive_titanmod_totalNtwin(myInstance)) :: twinrho_edge0, &
|
|
twinrho_screw0, &
|
|
twinsegment_edge0, &
|
|
twinsegment_screw0, &
|
|
twinresistance_edge0, &
|
|
twinresistance_screw0, &
|
|
twingamma_dot0
|
|
|
|
ns = constitutive_titanmod_totalNslip(myInstance)
|
|
nt = constitutive_titanmod_totalNtwin(myInstance)
|
|
constitutive_titanmod_stateInit = 0.0_pReal
|
|
|
|
!* Initialize basic slip state variables
|
|
! For slip
|
|
s1 = 0_pInt
|
|
do f = 1,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
|
|
|
|
!* 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)
|
|
twingamma_dot0(ts)=0.0_pReal
|
|
enddo
|
|
enddo
|
|
|
|
constitutive_titanmod_stateInit(1:ns) = rho_edge0
|
|
constitutive_titanmod_stateInit(ns+1:2*ns) = rho_screw0
|
|
constitutive_titanmod_stateInit(2*ns+1:2*ns+nt) = twinrho_edge0
|
|
constitutive_titanmod_stateInit(2*ns+nt+1:2*ns+2*nt) = twinrho_screw0
|
|
constitutive_titanmod_stateInit(2*ns+2*nt+1:2*ns+3*nt)=twingamma_dot0
|
|
|
|
!* Initialize dependent slip microstructural variables
|
|
forall (s = 1:ns) &
|
|
segment_edge0(s) = constitutive_titanmod_CeLambdaSlipPerSlipSystem(s,myInstance)/ &
|
|
sqrt(dot_product((rho_edge0+rho_screw0),constitutive_titanmod_forestProjectionEdge(1:ns,s,myInstance)))
|
|
|
|
constitutive_titanmod_stateInit(2*ns+2*nt+1:3*ns+3*nt) = segment_edge0
|
|
|
|
forall (s = 1:ns) &
|
|
segment_screw0(s) = constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,myInstance)/ &
|
|
sqrt(dot_product((rho_edge0+rho_screw0),constitutive_titanmod_forestProjectionScrew(1:ns,s,myInstance)))
|
|
|
|
constitutive_titanmod_stateInit(3*ns+2*nt+1:4*ns+3*nt) = segment_screw0
|
|
|
|
forall (s = 1:ns) &
|
|
resistance_edge0(s) = &
|
|
constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(s,myInstance)* &
|
|
sqrt(dot_product((rho_edge0),constitutive_titanmod_interactionMatrix_ee(1:ns,s,myInstance))+dot_product((rho_screw0), &
|
|
constitutive_titanmod_interactionMatrix_es(1:ns,s,myInstance)))
|
|
constitutive_titanmod_stateInit(4*ns+2*nt+1:5*ns+3*nt) = resistance_edge0
|
|
|
|
forall (s = 1:ns) &
|
|
resistance_screw0(s) = &
|
|
constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(s,myInstance)* &
|
|
sqrt(dot_product((rho_edge0),constitutive_titanmod_interactionMatrix_es(1:ns,s,myInstance))+dot_product((rho_screw0), &
|
|
constitutive_titanmod_interactionMatrix_ss(1:ns,s,myInstance)))
|
|
constitutive_titanmod_stateInit(5*ns+2*nt+1:6*ns+3*nt) = resistance_screw0
|
|
|
|
!* Initialize dependent twin microstructural variables
|
|
forall (t = 1:nt) &
|
|
twinsegment_edge0(t) = constitutive_titanmod_twinCeLambdaSlipPertwinSystem(t,myInstance)/ &
|
|
sqrt(dot_product((twinrho_edge0+twinrho_screw0),constitutive_titanmod_twinforestProjectionEdge(1:nt,t,myInstance)))
|
|
|
|
constitutive_titanmod_stateInit(6*ns+2*nt+1:6*ns+4*nt) = twinsegment_edge0
|
|
|
|
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)))
|
|
|
|
constitutive_titanmod_stateInit(6*ns+3*nt+1:6*ns+5*nt) = twinsegment_edge0
|
|
|
|
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)))
|
|
|
|
constitutive_titanmod_stateInit(6*ns+4*nt+1:6*ns+6*nt) = twinresistance_edge0
|
|
|
|
forall (t = 1:nt) &
|
|
twinresistance_screw0(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)))
|
|
|
|
constitutive_titanmod_stateInit(6*ns+5*nt+1:6*ns+7*nt) = twinresistance_screw0
|
|
|
|
!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
|
|
|
|
!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
|
|
!write(6,'(a,/,4(3(f30.20,x)/))') 'segment_edge',segment_edge0
|
|
!write(6,'(a,/,4(3(f30.20,x)/))') 'segment_screw',segment_screw0
|
|
!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
|
|
real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
|
|
volumefraction_pertwinsystem
|
|
!* 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
|
|
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
|
|
|
|
!* Homogenized elasticity matrix
|
|
constitutive_titanmod_homogenizedC = (1.0_pReal-sumf)*constitutive_titanmod_Cslip_66(:,:,myInstance)
|
|
do i=1,nt
|
|
constitutive_titanmod_homogenizedC = &
|
|
! constitutive_titanmod_homogenizedC + state(g,ip,el)%p(6*ns+7*nt+i)*constitutive_titanmod_Ctwin_66(:,:,i,myInstance)
|
|
constitutive_titanmod_homogenizedC + volumefraction_pertwinsystem(i)*constitutive_titanmod_Ctwin_66(:,:,i,myInstance)
|
|
|
|
enddo
|
|
|
|
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
|
|
real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
|
|
fOverStacksize, volumefraction_pertwinsystem
|
|
|
|
!* 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)
|
|
|
|
! Need to update this list
|
|
!* 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
|
|
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
|
|
|
|
!* Stacking fault energy
|
|
sfe = 0.0002_pReal*Temperature-0.0396_pReal
|
|
|
|
!* rescaled twin volume fraction for topology
|
|
!forall (t = 1:nt) &
|
|
! fOverStacksize(t) = &
|
|
! state(g,ip,el)%p(2*ns+t)/constitutive_titanmod_twinsizePerTwinSystem(t,myInstance)
|
|
|
|
! average segment length for edge dislocations in matrix
|
|
forall (s = 1:ns) &
|
|
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)), &
|
|
constitutive_titanmod_forestProjectionEdge(1:ns,s,myInstance)))
|
|
|
|
! average segment length for edge dislocations in matrix
|
|
forall (s = 1:ns) &
|
|
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)), &
|
|
constitutive_titanmod_forestProjectionEdge(1:ns,s,myInstance)))
|
|
|
|
!* 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
|
|
|
|
!* threshold stress or slip resistance for edge dislocation motion
|
|
forall (s = 1:ns) &
|
|
state(g,ip,el)%p(4*ns+3*nt+s) = &
|
|
constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(s,myInstance)*&
|
|
sqrt(dot_product((state(g,ip,el)%p(1:ns)),&
|
|
constitutive_titanmod_interactionMatrix_ee(1:ns,s,myInstance))+ &
|
|
dot_product((state(g,ip,el)%p(ns+1:2*ns)),&
|
|
constitutive_titanmod_interactionMatrix_es(1:ns,s,myInstance)))
|
|
|
|
!* threshold stress or slip resistance for screw dislocation motion
|
|
forall (s = 1:ns) &
|
|
state(g,ip,el)%p(5*ns+3*nt+s) = &
|
|
constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(s,myInstance)*&
|
|
sqrt(dot_product((state(g,ip,el)%p(1:ns)),&
|
|
constitutive_titanmod_interactionMatrix_es(1:ns,s,myInstance))+ &
|
|
dot_product((state(g,ip,el)%p(ns+1:2*ns)),&
|
|
constitutive_titanmod_interactionMatrix_ss(1:ns,s,myInstance)))
|
|
|
|
! average segment length for edge dislocations in twin
|
|
forall (t = 1:nt) &
|
|
state(g,ip,el)%p(6*ns+3*nt+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) &
|
|
state(g,ip,el)%p(6*ns+4*nt+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_twinforestProjectionScrew(1:nt,t,myInstance)))
|
|
|
|
!* threshold stress or slip resistance for edge dislocation motion in twin
|
|
forall (t = 1:nt) &
|
|
state(g,ip,el)%p(6*ns+5*nt+t) = &
|
|
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) &
|
|
state(g,ip,el)%p(6*ns+6*nt+t) = &
|
|
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)))
|
|
|
|
|
|
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
|
|
real(pReal) sumf,StressRatio_edge_p,minusStressRatio_edge_p,StressRatio_edge_pminus1,StressRatio_screw_p, &
|
|
StressRatio_screw_pminus1, StressRatio_r,BoltzmannRatio,DotGamma0, minusStressRatio_screw_p,gdotTotal, &
|
|
screwvelocity_kink_prefactor,twinStressRatio_edge_p,twinminusStressRatio_edge_p,twinStressRatio_edge_pminus1, &
|
|
twinStressRatio_screw_p, twinStressRatio_screw_pminus1, twinStressRatio_r, twinDotGamma0, &
|
|
twinminusStressRatio_screw_p
|
|
real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333
|
|
real(pReal), dimension(constitutive_titanmod_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
|
|
gdot_slip,dgdot_dtauslip,tau_slip, edge_velocity, screw_velocity
|
|
real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
|
|
gdot_twin,dgdot_dtautwin,tau_twin, twinedge_velocity, twinscrew_velocity,volumefraction_pertwinsystem
|
|
|
|
!* 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)
|
|
|
|
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
|
|
|
|
|
|
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))
|
|
! state(g,ip,el)%p(9*ns+3*nt+j)=tau_slip(j)
|
|
!*************************************************
|
|
|
|
if(myStructure==3.and.j>3) then ! only for hex and for all the non-basal slip systems
|
|
screwvelocity_kink_prefactor=state(g,ip,el)%p(3*ns+3*nt+j)/constitutive_titanmod_rlengthscrew_PerSlipSystem(j,myInstance)
|
|
else
|
|
screwvelocity_kink_prefactor=1.0_pReal
|
|
endif
|
|
|
|
! state(g,ip,el)%p(14*ns+3*nt+j)=screwvelocity_kink_prefactor
|
|
|
|
!* Stress ratio for edge
|
|
StressRatio_edge_p = ((abs(tau_slip(j)))/ &
|
|
( constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance)+state(g,ip,el)%p(4*ns+3*nt+j)) &
|
|
)**constitutive_titanmod_pe_PerSlipSystem(j,myInstance)
|
|
|
|
!* Stress ratio for screw
|
|
StressRatio_screw_p = ((abs(tau_slip(j)))/ &
|
|
( constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance)+state(g,ip,el)%p(5*ns+3*nt+j)) &
|
|
)**constitutive_titanmod_ps_PerSlipSystem(j,myInstance)
|
|
|
|
! 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
|
|
|
|
if((1.0_pReal-StressRatio_edge_p)>0.001_pReal) then
|
|
minusStressRatio_edge_p=1.0_pReal-StressRatio_edge_p
|
|
else
|
|
minusStressRatio_edge_p=0.001_pReal
|
|
endif
|
|
|
|
if((1.0_pReal-StressRatio_screw_p)>0.001_pReal) then
|
|
minusStressRatio_screw_p=1.0_pReal-StressRatio_screw_p
|
|
else
|
|
minusStressRatio_screw_p=0.001_pReal
|
|
endif
|
|
|
|
StressRatio_edge_pminus1 = ((abs(tau_slip(j)))/ &
|
|
( constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance)+state(g,ip,el)%p(4*ns+3*nt+j)) &
|
|
)**(constitutive_titanmod_pe_PerSlipSystem(j,myInstance)-1.0_pReal)
|
|
|
|
StressRatio_screw_pminus1 = ((abs(tau_slip(j)))/ &
|
|
( constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance)+state(g,ip,el)%p(5*ns+3*nt+j)) &
|
|
)**(constitutive_titanmod_ps_PerSlipSystem(j,myInstance)-1.0_pReal)
|
|
|
|
!* Boltzmann ratio
|
|
BoltzmannRatio = constitutive_titanmod_f0_PerSlipSystem(j,myInstance)/(kB*Temperature)
|
|
|
|
!* Initial shear rates
|
|
DotGamma0 = &
|
|
constitutive_titanmod_burgersPerSlipSystem(j,myInstance)*(state(g,ip,el)%p(j)*&
|
|
+ constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)+state(g,ip,el)%p(ns+j)* &
|
|
constitutive_titanmod_v0s_PerSlipSystem(j,myInstance))
|
|
|
|
edge_velocity(j) =constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatio* &
|
|
(minusStressRatio_edge_p)** &
|
|
constitutive_titanmod_qe_PerSlipSystem(j,myInstance))
|
|
|
|
screw_velocity(j) =screwvelocity_kink_prefactor * constitutive_titanmod_v0s_PerSlipSystem(j,myInstance)* &
|
|
exp(-BoltzmannRatio*(minusStressRatio_screw_p)** &
|
|
constitutive_titanmod_qs_PerSlipSystem(j,myInstance))
|
|
|
|
!* Shear rates due to slip
|
|
gdot_slip(j) = constitutive_titanmod_burgersPerSlipSystem(j,myInstance)*(state(g,ip,el)%p(j)* &
|
|
edge_velocity(j)+state(g,ip,el)%p(ns+j) * screw_velocity(j))* sign(1.0_pReal,tau_slip(j))
|
|
|
|
!* Derivatives of shear rates
|
|
dgdot_dtauslip(j) = ( &
|
|
( &
|
|
( &
|
|
( &
|
|
(abs(gdot_slip(j))) * &
|
|
BoltzmannRatio*&
|
|
constitutive_titanmod_pe_PerSlipSystem(j,myInstance)* &
|
|
constitutive_titanmod_qe_PerSlipSystem(j,myInstance) &
|
|
)/ &
|
|
constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance) &
|
|
)*&
|
|
StressRatio_edge_pminus1*(minusStressRatio_edge_p)** &
|
|
(constitutive_titanmod_qe_PerSlipSystem(j,myInstance)-1.0_pReal) &
|
|
) + &
|
|
( &
|
|
( &
|
|
( &
|
|
(abs(gdot_slip(j))) * &
|
|
BoltzmannRatio* screwvelocity_kink_prefactor *&
|
|
constitutive_titanmod_ps_PerSlipSystem(j,myInstance)* &
|
|
constitutive_titanmod_qs_PerSlipSystem(j,myInstance) &
|
|
)/ &
|
|
constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance) &
|
|
)*&
|
|
StressRatio_screw_pminus1*(minusStressRatio_screw_p)**(constitutive_titanmod_qs_PerSlipSystem(j,myInstance)-1.0_pReal) &
|
|
) &
|
|
) !* sign(1.0_pReal,tau_slip(j))
|
|
|
|
! state(g,ip,el)%p(13*ns+3*nt+j)=dgdot_dtauslip(j)
|
|
|
|
!*************************************************
|
|
!sumf=0.0_pReal
|
|
!* Plastic velocity gradient for dislocation glide
|
|
Lp = Lp + (1.0_pReal - sumf)*gdot_slip(j)*lattice_Sslip(:,:,index_myFamily+i,myStructure)
|
|
|
|
!* Calculation of the tangent of Lp
|
|
forall (k=1:3,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))
|
|
|
|
!**************************************************************************************
|
|
!* Stress ratios
|
|
! StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_titanmod_r(myInstance)
|
|
|
|
!* Shear rates and their derivatives due to twin
|
|
! if ( tau_twin(j) > 0.0_pReal ) !then
|
|
! gdot_twin(j) = 0.0_pReal!&
|
|
! (constitutive_titanmod_MaxTwinFraction(myInstance)-sumf)*lattice_shearTwin(index_myFamily+i,myStructure)*&
|
|
! state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_titanmod_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
|
|
! dgdot_dtautwin(j) = ((gdot_twin(j)*constitutive_titanmod_r(myInstance))/tau_twin(j))*StressRatio_r
|
|
! endif
|
|
!**************************************************************************************
|
|
|
|
!* Stress ratio for edge
|
|
twinStressRatio_edge_p = ((abs(tau_twin(j)))/ &
|
|
( constitutive_titanmod_twintau0e_PerTwinSystem(j,myInstance)+state(g,ip,el)%p(6*ns+5*nt+j)) &
|
|
)**constitutive_titanmod_twinpe_PerTwinSystem(j,myInstance)
|
|
|
|
!* Stress ratio for screw
|
|
twinStressRatio_screw_p = ((abs(tau_twin(j)))/ &
|
|
( constitutive_titanmod_twintau0s_PerTwinSystem(j,myInstance)+state(g,ip,el)%p(6*ns+6*nt+j)) &
|
|
)**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)))/ &
|
|
( constitutive_titanmod_twintau0e_PerTwinSystem(j,myInstance)+state(g,ip,el)%p(6*ns+5*nt+j)) &
|
|
)**(constitutive_titanmod_twinpe_PerTwinSystem(j,myInstance)-1.0_pReal)
|
|
|
|
twinStressRatio_screw_pminus1 = ((abs(tau_twin(j)))/ &
|
|
( constitutive_titanmod_twintau0s_PerTwinSystem(j,myInstance)+state(g,ip,el)%p(6*ns+6*nt+j)) &
|
|
)**(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))
|
|
|
|
state(g,ip,el)%p(6*ns+8*nt+j)=twinscrew_velocity(j)
|
|
|
|
|
|
!* 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)
|
|
|
|
!* Plastic velocity gradient for mechanical twinning
|
|
Lp = Lp + sumf*gdot_twin(j)*lattice_Stwin(:,:,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_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
|
|
integer(pInt) MyInstance,MyStructure,ns,nt,f,i,j,k,index_myFamily,s,t
|
|
real(pReal) sumf,StressRatio_edge_p,minusStressRatio_edge_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,&
|
|
EdgeDipMinDistance,AtomicVolume,VacancyDiffusion,StressRatio_r,StressRatio_screw_p,minusStressRatio_screw_p, &
|
|
screwvelocity_kink_prefactor,twinStressRatio_edge_p,twinminusStressRatio_edge_p,twinStressRatio_pminus1, &
|
|
twinDotGamma0,twinStressRatio_screw_p, &
|
|
twinminusStressRatio_screw_p
|
|
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
|
|
real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_constitutionInstance(material_phase(g,ip,el)))) :: gdot_twin, &
|
|
tau_twin,twinedge_segment,twinscrew_segment,twinedge_velocity,twinscrew_velocity,TwinDotRhoEdgeGeneration, &
|
|
TwinDotRhoEdgeAnnihilation,TwinDotRhoScrewGeneration,TwinDotRhoScrewAnnihilation,volumefraction_pertwinsystem
|
|
|
|
!* 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)
|
|
|
|
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
|
|
|
|
constitutive_titanmod_dotState = 0.0_pReal
|
|
|
|
!* average segment length for edge dislocations in matrix
|
|
forall (s = 1:ns) &
|
|
edge_segment(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)), &
|
|
constitutive_titanmod_forestProjectionEdge(1:ns,s,myInstance)))
|
|
|
|
!* average segment length for screw dislocations in matrix
|
|
forall (s = 1:ns) &
|
|
screw_segment(s) = &
|
|
(constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,myInstance))/ &
|
|
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)))
|
|
|
|
!* 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
|
|
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))
|
|
|
|
|
|
if(myStructure==3.and.j>3) then ! only for hex and for all the non-basal slip systems
|
|
screwvelocity_kink_prefactor=state(g,ip,el)%p(3*ns+2*nt+j)/constitutive_titanmod_rlengthscrew_PerSlipSystem(j,myInstance)
|
|
else
|
|
screwvelocity_kink_prefactor=1.0_pReal
|
|
endif
|
|
|
|
!* Stress ratio for edge
|
|
StressRatio_edge_p = ((abs(tau_slip(j)))/ &
|
|
( constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance)+state(g,ip,el)%p(4*ns+3*nt+j)) &
|
|
)**(constitutive_titanmod_pe_PerSlipSystem(j,myInstance))
|
|
|
|
!* Stress ratio for screw
|
|
StressRatio_screw_p = ((abs(tau_slip(j)))/ &
|
|
( constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance)+state(g,ip,el)%p(5*ns+3*nt+j)) &
|
|
)**(constitutive_titanmod_ps_PerSlipSystem(j,myInstance))
|
|
|
|
if((1.0_pReal-StressRatio_edge_p)>0.001_pReal) then
|
|
minusStressRatio_edge_p=1.0_pReal-StressRatio_edge_p
|
|
else
|
|
minusStressRatio_edge_p=0.001_pReal
|
|
endif
|
|
|
|
if((1-StressRatio_screw_p)>0.001_pReal) then
|
|
minusStressRatio_screw_p=1.0_pReal-StressRatio_screw_p
|
|
else
|
|
minusStressRatio_screw_p=0.001_pReal
|
|
endif
|
|
|
|
!* Boltzmann ratio
|
|
BoltzmannRatio = constitutive_titanmod_f0_PerSlipSystem(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
|
|
edge_velocity(j) =constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatio* &
|
|
(minusStressRatio_edge_p)** &
|
|
constitutive_titanmod_qe_PerSlipSystem(j,myInstance))
|
|
screw_velocity(j) =screwvelocity_kink_prefactor* constitutive_titanmod_v0s_PerSlipSystem(j,myInstance)* &
|
|
exp(-BoltzmannRatio*(minusStressRatio_screw_p)** &
|
|
constitutive_titanmod_qs_PerSlipSystem(j,myInstance))
|
|
! endif
|
|
|
|
!* Multiplication of edge dislocations
|
|
DotRhoEdgeGeneration(j) = 2.0_pReal*(state(g,ip,el)%p(ns+j)*screw_velocity(j)/screw_segment(j))
|
|
!* Multiplication of screw dislocations
|
|
DotRhoScrewGeneration(j) = 2.0_pReal*(state(g,ip,el)%p(j)*edge_velocity(j)/edge_segment(j))
|
|
|
|
!* Annihilation of edge dislocations
|
|
DotRhoEdgeAnnihilation(j) = -((state(g,ip,el)%p(j))**2)* &
|
|
constitutive_titanmod_capre_PerSlipSystem(j,myInstance)*edge_velocity(j)
|
|
|
|
!* Annihilation of screw dislocations
|
|
DotRhoScrewAnnihilation(j) = -((state(g,ip,el)%p(ns+j))**2)* &
|
|
constitutive_titanmod_caprs_PerSlipSystem(j,myInstance)*screw_velocity(j)
|
|
|
|
!* 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)
|
|
|
|
|
|
enddo
|
|
enddo
|
|
|
|
!* Twin fraction evolution
|
|
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
|
|
|
|
!*************************************************************************
|
|
!This was in dislotwin - keeping it for safety
|
|
!*************************************************************************
|
|
! !* Resolved shear stress on twin system
|
|
! tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,myStructure))
|
|
! !* Stress ratios
|
|
! StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_titanmod_r(myInstance)
|
|
!
|
|
! !* Shear rates and their derivatives due to twin
|
|
! if ( tau_twin(j) > 0.0_pReal ) then
|
|
! constitutive_titanmod_dotState(2*ns+j) = &
|
|
! (constitutive_titanmod_MaxTwinFraction(myInstance)-sumf)*&
|
|
! state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_titanmod_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
|
|
! endif
|
|
!*************************************************************************
|
|
|
|
!* Resolved shear stress on twin system
|
|
tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,myStructure))
|
|
|
|
!* Stress ratio for edge
|
|
twinStressRatio_edge_p = ((abs(tau_twin(j)))/ &
|
|
( constitutive_titanmod_twintau0e_PerTwinSystem(j,myInstance)+state(g,ip,el)%p(6*ns+5*nt+j)) &
|
|
)**(constitutive_titanmod_twinpe_PerTwinSystem(j,myInstance))
|
|
|
|
!* Stress ratio for screw
|
|
twinStressRatio_screw_p = ((abs(tau_twin(j)))/ &
|
|
( constitutive_titanmod_twintau0s_PerTwinSystem(j,myInstance)+state(g,ip,el)%p(6*ns+6*nt+j)) &
|
|
)**(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
|
|
|
|
!* 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)
|
|
|
|
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
|
|
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
|
|
real(pReal) sumf,tau,StressRatio_edge_p,StressRatio_screw_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,StressRatio_r, &
|
|
gdot_slip,dgdot_dtauslip
|
|
real(pReal), dimension(constitutive_titanmod_sizePostResults(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
|
|
constitutive_titanmod_postResults
|
|
real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
|
|
volumefraction_pertwinsystem
|
|
|
|
!* 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)
|
|
|
|
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
|
|
|
|
|
|
!* 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
|
|
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')
|
|
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p((12*ns+3*nt+1):(13*ns+3*nt))
|
|
c = c + ns
|
|
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
|
|
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
|
|
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
|
|
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
|
|
case ('resistance_screw')
|
|
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p((6*ns+3*nt+1):(7*ns+3*nt))
|
|
c = c + ns
|
|
case ('tau_slip')
|
|
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p(9*ns+3*nt+1:10*ns+3*nt)
|
|
c=c + ns
|
|
case('edge_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)* &
|
|
state(g,ip,el)%p(8*ns+3*nt+j)/state(g,ip,el)%p(4*ns+2*nt+j)
|
|
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)* &
|
|
state(g,ip,el)%p(7*ns+3*nt+j)/state(g,ip,el)%p(2*ns+nt+j)
|
|
enddo; enddo
|
|
|
|
c = c + ns
|
|
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)* &
|
|
constitutive_titanmod_capre_PerSlipSystem(j,myInstance)*state(g,ip,el)%p(7*ns+3*nt+j)
|
|
enddo; enddo
|
|
|
|
c = c + ns
|
|
case('screw_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(ns+j))**2)* &
|
|
constitutive_titanmod_caprs_PerSlipSystem(j,myInstance)*state(g,ip,el)%p(8*ns+3*nt+j)
|
|
enddo; enddo
|
|
|
|
c = c + ns
|
|
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)* &
|
|
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)
|
|
enddo; enddo
|
|
|
|
c = c + ns
|
|
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)* &
|
|
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)
|
|
enddo; enddo
|
|
|
|
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)
|
|
c = c + ns
|
|
case ('twin_fraction')
|
|
constitutive_titanmod_postResults(c+1:c+nt) = volumefraction_pertwinsystem(1:nt)
|
|
c = c + nt
|
|
|
|
end select
|
|
enddo
|
|
|
|
return
|
|
end function
|
|
|
|
END MODULE
|