Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
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@ -52,33 +52,33 @@ real(pReal), dimension(:), allocatable :: constitutive_titanmod_
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constitutive_titanmod_CAtomicVolume, & ! atomic volume in Bugers vector unit
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constitutive_titanmod_CAtomicVolume, & ! atomic volume in Bugers vector unit
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constitutive_titanmod_D0, & ! prefactor for self-diffusion coefficient
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constitutive_titanmod_D0, & ! prefactor for self-diffusion coefficient
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constitutive_titanmod_Qsd, & ! activation energy for dislocation climb
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constitutive_titanmod_Qsd, & ! activation energy for dislocation climb
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constitutive_titanmod_GrainSize, & ! grain size
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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_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_r, & ! r-exponent in twin nucleation rate
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constitutive_titanmod_CEdgeDipMinDistance, & !
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constitutive_titanmod_CEdgeDipMinDistance, & ! Not being used
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constitutive_titanmod_Cmfptwin, & !
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constitutive_titanmod_Cmfptwin, & ! Not being used
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constitutive_titanmod_Cthresholdtwin, & !
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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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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_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_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_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_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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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 edge dipole 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_burgersPerSlipFamily, & ! absolute length of burgers vector [m] for each slip 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_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_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_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_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_f0_PerSlipSystem, & ! activation energy for glide [J] for each slip system and instance
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constitutive_titanmod_tau0e_PerSlipFamily, & ! activation energy for glide [J] for each slip family and instance
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constitutive_titanmod_tau0e_PerSlipFamily, & ! Initial yield stress edge dislocations per slip family
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constitutive_titanmod_tau0e_PerSlipSystem, & ! activation energy for glide [J] for each slip system and instance
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constitutive_titanmod_tau0e_PerSlipSystem, & ! Initial yield stress edge dislocations per slip system
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constitutive_titanmod_tau0s_PerSlipFamily, & ! activation energy for glide [J] for each slip family and instance
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constitutive_titanmod_tau0s_PerSlipFamily, & ! Initial yield stress screw dislocations per slip family
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constitutive_titanmod_tau0s_PerSlipSystem, & ! activation energy for glide [J] for each slip system and instance
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constitutive_titanmod_tau0s_PerSlipSystem, & ! Initial yield stress screw dislocations per slip system
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constitutive_titanmod_capre_PerSlipFamily, & ! activation energy for glide [J] for each slip family and instance
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constitutive_titanmod_capre_PerSlipFamily, & ! Capture radii for edge dislocations per slip family
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constitutive_titanmod_capre_PerSlipSystem, & ! activation energy for glide [J] for each slip system and instance
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constitutive_titanmod_capre_PerSlipSystem, & ! Capture radii for edge dislocations per slip system
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constitutive_titanmod_caprs_PerSlipFamily, & ! activation energy for glide [J] for each slip family and instance
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constitutive_titanmod_caprs_PerSlipFamily, & ! Capture radii for screw dislocations per slip family
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constitutive_titanmod_caprs_PerSlipSystem, & ! activation energy for glide [J] for each slip system and instance
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constitutive_titanmod_caprs_PerSlipSystem, & ! Capture radii for screw dislocations per slip system
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constitutive_titanmod_pe_PerSlipFamily, & ! p-exponent in glide velocity
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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_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_qe_PerSlipFamily, & ! q-exponent in glide velocity
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@ -252,6 +252,10 @@ constitutive_titanmod_Ndot0PerTwinFamily = 0.0_pReal
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constitutive_titanmod_twinsizePerTwinFamily = 0.0_pReal
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constitutive_titanmod_twinsizePerTwinFamily = 0.0_pReal
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constitutive_titanmod_CeLambdaSlipPerSlipFamily = 0.0_pReal
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constitutive_titanmod_CeLambdaSlipPerSlipFamily = 0.0_pReal
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constitutive_titanmod_CsLambdaSlipPerSlipFamily = 0.0_pReal
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constitutive_titanmod_CsLambdaSlipPerSlipFamily = 0.0_pReal
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constitutive_titanmod_pe_PerSlipFamily = 0.0_pReal
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constitutive_titanmod_ps_PerSlipFamily = 0.0_pReal
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constitutive_titanmod_qe_PerSlipFamily = 0.0_pReal
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constitutive_titanmod_qs_PerSlipFamily = 0.0_pReal
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allocate(constitutive_titanmod_interactionSlipSlip(lattice_maxNinteraction,maxNinstance))
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allocate(constitutive_titanmod_interactionSlipSlip(lattice_maxNinteraction,maxNinstance))
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allocate(constitutive_titanmod_interactionSlipTwin(lattice_maxNinteraction,maxNinstance))
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allocate(constitutive_titanmod_interactionSlipTwin(lattice_maxNinteraction,maxNinstance))
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allocate(constitutive_titanmod_interactionTwinSlip(lattice_maxNinteraction,maxNinstance))
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allocate(constitutive_titanmod_interactionTwinSlip(lattice_maxNinteraction,maxNinstance))
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@ -297,39 +301,44 @@ do ! read thru sections of
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write(6,*) tag
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write(6,*) tag
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case ('c11')
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case ('c11')
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constitutive_titanmod_C11(i) = IO_floatValue(line,positions,2)
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constitutive_titanmod_C11(i) = IO_floatValue(line,positions,2)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_C11(i)
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case ('c12')
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case ('c12')
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constitutive_titanmod_C12(i) = IO_floatValue(line,positions,2)
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constitutive_titanmod_C12(i) = IO_floatValue(line,positions,2)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_C12(i)
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case ('c13')
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case ('c13')
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constitutive_titanmod_C13(i) = IO_floatValue(line,positions,2)
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constitutive_titanmod_C13(i) = IO_floatValue(line,positions,2)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_C13(i)
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case ('c33')
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case ('c33')
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constitutive_titanmod_C33(i) = IO_floatValue(line,positions,2)
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constitutive_titanmod_C33(i) = IO_floatValue(line,positions,2)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_C33(i)
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case ('c44')
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case ('c44')
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constitutive_titanmod_C44(i) = IO_floatValue(line,positions,2)
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constitutive_titanmod_C44(i) = IO_floatValue(line,positions,2)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_C44(i)
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case ('nslip')
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case ('nslip')
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forall (j = 1:lattice_maxNslipFamily) &
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_Nslip(j,i) = IO_intValue(line,positions,1+j)
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constitutive_titanmod_Nslip(j,i) = IO_intValue(line,positions,1+j)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_Nslip(1,i),constitutive_titanmod_Nslip(2,i),constitutive_titanmod_Nslip(3,i), &
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constitutive_titanmod_Nslip(4,i)
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case ('ntwin')
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case ('ntwin')
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forall (j = 1:lattice_maxNtwinFamily) &
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forall (j = 1:lattice_maxNtwinFamily) &
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constitutive_titanmod_Ntwin(j,i) = IO_intValue(line,positions,1+j)
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constitutive_titanmod_Ntwin(j,i) = IO_intValue(line,positions,1+j)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_Ntwin(1,i),constitutive_titanmod_Ntwin(2,i),constitutive_titanmod_Ntwin(3,i), &
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constitutive_titanmod_Ntwin(4,i)
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case ('rho_edge0')
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case ('rho_edge0')
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forall (j = 1:lattice_maxNslipFamily) &
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_rho_edge0(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_rho_edge0(j,i) = IO_floatValue(line,positions,1+j)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_rho_edge0(1,i),constitutive_titanmod_rho_edge0(2,i), &
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constitutive_titanmod_rho_edge0(3,i), constitutive_titanmod_rho_edge0(4,i)
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case ('rho_screw0')
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case ('rho_screw0')
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forall (j = 1:lattice_maxNslipFamily) &
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_rho_screw0(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_rho_screw0(j,i) = IO_floatValue(line,positions,1+j)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_rho_screw0(1,i),constitutive_titanmod_rho_screw0(2,i), &
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constitutive_titanmod_rho_screw0(3,i), constitutive_titanmod_rho_screw0(4,i)
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case ('slipburgers')
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case ('slipburgers')
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forall (j = 1:lattice_maxNslipFamily) &
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_burgersPerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_burgersPerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_burgersPerSlipFamily(1,i),constitutive_titanmod_burgersPerSlipFamily(2,i), &
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constitutive_titanmod_burgersPerSlipFamily(3,i), constitutive_titanmod_burgersPerSlipFamily(4,i)
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case ('twinburgers')
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case ('twinburgers')
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forall (j = 1:lattice_maxNtwinFamily) &
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forall (j = 1:lattice_maxNtwinFamily) &
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constitutive_titanmod_burgersPerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_burgersPerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
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@ -337,31 +346,38 @@ do ! read thru sections of
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case ('f0')
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case ('f0')
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forall (j = 1:lattice_maxNslipFamily) &
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_f0_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_f0_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_f0_PerSlipFamily(1,i),constitutive_titanmod_f0_PerSlipFamily(2,i), &
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constitutive_titanmod_f0_PerSlipFamily(3,i), constitutive_titanmod_f0_PerSlipFamily(4,i)
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case ('tau0e')
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case ('tau0e')
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forall (j = 1:lattice_maxNslipFamily) &
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_tau0e_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_tau0e_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_tau0e_PerSlipFamily(1,i),constitutive_titanmod_tau0e_PerSlipFamily(2,i), &
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constitutive_titanmod_tau0e_PerSlipFamily(3,i), constitutive_titanmod_tau0e_PerSlipFamily(4,i)
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case ('tau0s')
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case ('tau0s')
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forall (j = 1:lattice_maxNslipFamily) &
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_tau0s_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_tau0s_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_tau0s_PerSlipFamily(1,i),constitutive_titanmod_tau0s_PerSlipFamily(2,i), &
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constitutive_titanmod_tau0s_PerSlipFamily(3,i), constitutive_titanmod_tau0s_PerSlipFamily(4,i)
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case ('capre')
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case ('capre')
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forall (j = 1:lattice_maxNslipFamily) &
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_capre_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_capre_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_capre_PerSlipFamily(1,i),constitutive_titanmod_capre_PerSlipFamily(2,i), &
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constitutive_titanmod_capre_PerSlipFamily(3,i), constitutive_titanmod_capre_PerSlipFamily(4,i)
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case ('caprs')
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case ('caprs')
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forall (j = 1:lattice_maxNslipFamily) &
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_caprs_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_caprs_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_caprs_PerSlipFamily(1,i),constitutive_titanmod_caprs_PerSlipFamily(2,i), &
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constitutive_titanmod_caprs_PerSlipFamily(3,i), constitutive_titanmod_caprs_PerSlipFamily(4,i)
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case ('v0e')
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case ('v0e')
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forall (j = 1:lattice_maxNslipFamily) &
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_v0e_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_v0e_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_v0e_PerSlipFamily(1,i),constitutive_titanmod_v0e_PerSlipFamily(2,i), &
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constitutive_titanmod_v0e_PerSlipFamily(3,i), constitutive_titanmod_v0e_PerSlipFamily(4,i)
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case ('v0s')
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case ('v0s')
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forall (j = 1:lattice_maxNslipFamily) &
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_v0s_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_v0s_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_v0s_PerSlipFamily(1,i),constitutive_titanmod_v0s_PerSlipFamily(2,i), &
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constitutive_titanmod_v0s_PerSlipFamily(3,i), constitutive_titanmod_v0s_PerSlipFamily(4,i)
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case ('ndot0')
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case ('ndot0')
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forall (j = 1:lattice_maxNtwinFamily) &
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forall (j = 1:lattice_maxNtwinFamily) &
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constitutive_titanmod_Ndot0PerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_Ndot0PerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
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constitutive_titanmod_MaxTwinFraction(i) = IO_floatValue(line,positions,2)
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constitutive_titanmod_MaxTwinFraction(i) = IO_floatValue(line,positions,2)
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write(6,*) tag
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write(6,*) tag
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case ('pe')
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case ('pe')
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_pe_PerSlipFamily(j,i) = IO_floatValue(line,positions,2)
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constitutive_titanmod_pe_PerSlipFamily(j,i) = IO_floatValue(line,positions,2)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_pe_PerSlipFamily(1,i),constitutive_titanmod_pe_PerSlipFamily(2,i), &
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constitutive_titanmod_pe_PerSlipFamily(3,i), constitutive_titanmod_pe_PerSlipFamily(4,i),i
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case ('ps')
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case ('ps')
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_ps_PerSlipFamily(j,i) = IO_floatValue(line,positions,2)
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constitutive_titanmod_ps_PerSlipFamily(j,i) = IO_floatValue(line,positions,2)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_ps_PerSlipFamily(1,i),constitutive_titanmod_ps_PerSlipFamily(2,i), &
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constitutive_titanmod_ps_PerSlipFamily(3,i), constitutive_titanmod_ps_PerSlipFamily(4,i),i
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case ('qe')
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case ('qe')
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forall (j = 1:lattice_maxNslipFamily) &
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constitutive_titanmod_qe_PerSlipFamily(j,i) = IO_floatValue(line,positions,2)
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constitutive_titanmod_qe_PerSlipFamily(j,i) = IO_floatValue(line,positions,2)
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write(6,*) tag
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write(6,*) tag,constitutive_titanmod_qe_PerSlipFamily(1,i),constitutive_titanmod_qe_PerSlipFamily(2,i), &
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||||||
|
constitutive_titanmod_qe_PerSlipFamily(3,i), constitutive_titanmod_qe_PerSlipFamily(4,i),i
|
||||||
case ('qs')
|
case ('qs')
|
||||||
|
forall (j = 1:lattice_maxNslipFamily) &
|
||||||
constitutive_titanmod_qs_PerSlipFamily(j,i) = IO_floatValue(line,positions,2)
|
constitutive_titanmod_qs_PerSlipFamily(j,i) = IO_floatValue(line,positions,2)
|
||||||
write(6,*) tag
|
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 ('rexponent')
|
case ('rexponent')
|
||||||
constitutive_titanmod_r(i) = IO_floatValue(line,positions,2)
|
constitutive_titanmod_r(i) = IO_floatValue(line,positions,2)
|
||||||
write(6,*) tag
|
write(6,*) tag
|
||||||
|
@ -1068,40 +1092,81 @@ do f = 1,lattice_maxNslipFamily ! loop over all
|
||||||
!*************************************************
|
!*************************************************
|
||||||
|
|
||||||
!* Stress ratio for edge
|
!* Stress ratio for edge
|
||||||
|
if((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))>0.0_pReal) then
|
||||||
StressRatio_edge_p = ((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))/ &
|
StressRatio_edge_p = ((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))/ &
|
||||||
constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance))**constitutive_titanmod_pe_PerSlipSystem(j,myInstance)
|
constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance))**constitutive_titanmod_pe_PerSlipSystem(j,myInstance)
|
||||||
|
else
|
||||||
|
StressRatio_edge_p=0.0_pReal
|
||||||
|
endif
|
||||||
|
|
||||||
!* Stress ratio for screw
|
!* Stress ratio for screw
|
||||||
|
if((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j))>0.0_pReal) then
|
||||||
StressRatio_screw_p = ((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j))/ &
|
StressRatio_screw_p = ((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j))/ &
|
||||||
constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance))**constitutive_titanmod_pe_PerSlipSystem(j,myInstance)
|
constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance))**constitutive_titanmod_pe_PerSlipSystem(j,myInstance)
|
||||||
|
else
|
||||||
|
StressRatio_screw_p=0.0_pReal
|
||||||
|
endif
|
||||||
|
|
||||||
!* Stress ratio for edge p minus1
|
!* Stress ratio for edge p minus1
|
||||||
|
if((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))>0.0_pReal) then
|
||||||
StressRatio_edge_pminus1 = ((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))/ &
|
StressRatio_edge_pminus1 = ((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))/ &
|
||||||
constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance))**(constitutive_titanmod_pe_PerSlipSystem(j,myInstance)-1)
|
constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance))**(constitutive_titanmod_pe_PerSlipSystem(j,myInstance)-1)
|
||||||
|
else
|
||||||
|
StressRatio_edge_pminus1=0.0_pReal
|
||||||
|
endif
|
||||||
|
|
||||||
!* Stress ratio for screw p minus1
|
!* Stress ratio for screw p minus1
|
||||||
|
if((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j))>0.0_pReal) then
|
||||||
StressRatio_screw_pminus1 = ((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j))/ &
|
StressRatio_screw_pminus1 = ((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j))/ &
|
||||||
constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance))**(constitutive_titanmod_pe_PerSlipSystem(j,myInstance)-1)
|
constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance))**(constitutive_titanmod_pe_PerSlipSystem(j,myInstance)-1)
|
||||||
|
else
|
||||||
|
StressRatio_screw_pminus1=0.0_pReal
|
||||||
|
endif
|
||||||
|
|
||||||
!* Boltzmann ratio
|
!* Boltzmann ratio
|
||||||
BoltzmannRatio = constitutive_titanmod_f0_PerSlipSystem(f,myInstance)/(kB*Temperature)
|
BoltzmannRatio = constitutive_titanmod_f0_PerSlipSystem(j,myInstance)/(kB*Temperature)
|
||||||
|
|
||||||
!* Initial shear rates
|
!* Initial shear rates
|
||||||
DotGamma0 = &
|
DotGamma0 = &
|
||||||
state(g,ip,el)%p(j)*constitutive_titanmod_burgersPerSlipSystem(j,myInstance)*&
|
constitutive_titanmod_burgersPerSlipSystem(j,myInstance)*2.0_pReal*(state(g,ip,el)%p(j)*&
|
||||||
constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)
|
+ constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)+state(g,ip,el)%p(ns+j)* &
|
||||||
|
constitutive_titanmod_v0e_PerSlipSystem(j,myInstance))
|
||||||
|
|
||||||
!* Shear rates due to slip
|
!* Shear rates due to slip
|
||||||
gdot_slip(j) = state(g,ip,el)%p(j)*constitutive_titanmod_burgersPerSlipSystem(j,myInstance)* &
|
gdot_slip(j) = constitutive_titanmod_burgersPerSlipSystem(j,myInstance)*2.0_pReal*(state(g,ip,el)%p(j)* &
|
||||||
constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatio*(1-StressRatio_edge_p)** &
|
constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatio*(1-StressRatio_edge_p)** &
|
||||||
constitutive_titanmod_qe_PerSlipSystem(j,myInstance))* sign(1.0_pReal,tau_slip(j))
|
constitutive_titanmod_qe_PerSlipSystem(j,myInstance))+state(g,ip,el)%p(ns+j)* &
|
||||||
|
constitutive_titanmod_v0s_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatio*(1-StressRatio_screw_p)** &
|
||||||
|
constitutive_titanmod_qs_PerSlipSystem(j,myInstance)))* sign(1.0_pReal,tau_slip(j))
|
||||||
|
|
||||||
!* Derivatives of shear rates
|
!* Derivatives of shear rates
|
||||||
dgdot_dtauslip(j) = &
|
dgdot_dtauslip(j) = &
|
||||||
((abs(gdot_slip(j))*BoltzmannRatio*&
|
2.0_pReal* &
|
||||||
constitutive_titanmod_pe_PerSlipSystem(j,myInstance)*constitutive_titanmod_qe_PerSlipSystem(j,myInstance))/ &
|
( &
|
||||||
state(g,ip,el)%p(5*ns+3*nt+j))*&
|
( &
|
||||||
StressRatio_edge_pminus1*(1-StressRatio_edge_p)**(constitutive_titanmod_qe_PerSlipSystem(j,myInstance)-1.0_pReal)
|
( &
|
||||||
|
( &
|
||||||
|
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*(1-StressRatio_edge_p)** &
|
||||||
|
(constitutive_titanmod_qe_PerSlipSystem(j,myInstance)-1.0_pReal) &
|
||||||
|
) + &
|
||||||
|
( &
|
||||||
|
( &
|
||||||
|
(abs(gdot_slip(j))*BoltzmannRatio*&
|
||||||
|
constitutive_titanmod_ps_PerSlipSystem(j,myInstance)* &
|
||||||
|
constitutive_titanmod_qs_PerSlipSystem(j,myInstance) &
|
||||||
|
)/ &
|
||||||
|
constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance) &
|
||||||
|
)*&
|
||||||
|
StressRatio_screw_pminus1*(1-StressRatio_screw_p)**(constitutive_titanmod_qs_PerSlipSystem(j,myInstance)-1.0_pReal) &
|
||||||
|
) &
|
||||||
|
)
|
||||||
|
|
||||||
!*************************************************
|
!*************************************************
|
||||||
!* Plastic velocity gradient for dislocation glide
|
!* Plastic velocity gradient for dislocation glide
|
||||||
|
@ -1239,25 +1304,43 @@ forall (s = 1:ns) &
|
||||||
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
|
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
|
||||||
|
|
||||||
!* Stress ratio for edge
|
!* Stress ratio for edge
|
||||||
|
if((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j)) > 0.0_pReal) then
|
||||||
StressRatio_edge_p = ((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))/ &
|
StressRatio_edge_p = ((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))/ &
|
||||||
constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance))** constitutive_titanmod_pe_PerSlipSystem(j,myInstance)
|
constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance))** constitutive_titanmod_pe_PerSlipSystem(j,myInstance)
|
||||||
|
else
|
||||||
|
StressRatio_edge_p=0.0_pReal
|
||||||
|
endif
|
||||||
|
|
||||||
!* Stress ratio for screw
|
!* Stress ratio for screw
|
||||||
StressRatio_screw_p = ((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))/ &
|
if((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j)) > 0.0_pReal) then
|
||||||
|
StressRatio_screw_p = ((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j))/ &
|
||||||
constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance))**constitutive_titanmod_ps_PerSlipSystem(j,myInstance)
|
constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance))**constitutive_titanmod_ps_PerSlipSystem(j,myInstance)
|
||||||
!* Boltzmann ratio
|
|
||||||
BoltzmannRatio = constitutive_titanmod_f0_PerSlipSystem(s,myInstance)/(kB*Temperature)
|
|
||||||
|
|
||||||
if (tau_slip(j) == 0.0_pReal) then
|
|
||||||
edge_velocity(j) = 0.0_pReal
|
|
||||||
screw_velocity(j) = 0.0_pReal
|
|
||||||
else
|
else
|
||||||
|
StressRatio_screw_p=0.0_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*(1-StressRatio_edge_p)** &
|
edge_velocity(j) =constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatio*(1-StressRatio_edge_p)** &
|
||||||
constitutive_titanmod_qe_PerSlipSystem(j,myInstance))
|
constitutive_titanmod_qe_PerSlipSystem(j,myInstance))
|
||||||
screw_velocity(j) =constitutive_titanmod_v0s_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatio*(1-StressRatio_screw_p)** &
|
screw_velocity(j) =constitutive_titanmod_v0s_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatio*(1-StressRatio_screw_p)** &
|
||||||
constitutive_titanmod_qs_PerSlipSystem(j,myInstance))
|
constitutive_titanmod_qs_PerSlipSystem(j,myInstance))
|
||||||
endif
|
! endif
|
||||||
|
! write(6,*) 'edge_segment(j) ',edge_segment(j)
|
||||||
|
! write(6,*) 'screw_segment(j) ',screw_segment(j)
|
||||||
|
! write(6,*) 'tau_slip(j) ',tau_slip(j)
|
||||||
|
! write(6,*) 'Temperature ',Temperature
|
||||||
|
! write(6,*) 'kB ',kB
|
||||||
|
! write(6,*) 'constitutive_titanmod_f0_PerSlipSystem(j,myInstance) ',constitutive_titanmod_f0_PerSlipSystem(j,myInstance)
|
||||||
|
! write(6,*) 'StressRatio_edge_p',StressRatio_edge_p,j
|
||||||
|
! write(6,*) 'StressRatio_screw_p',StressRatio_screw_p,j
|
||||||
|
! write(6,*) 'edge_velocity(j)',edge_velocity(j),j
|
||||||
|
! write(6,*) 'screw_velocity(j)',screw_velocity(j),j
|
||||||
!* Multiplication of edge dislocations
|
!* Multiplication of edge dislocations
|
||||||
DotRhoEdgeGeneration(j) = 4.0_pReal*(state(g,ip,el)%p(ns+j)*screw_velocity(j)/screw_segment(j))
|
DotRhoEdgeGeneration(j) = 4.0_pReal*(state(g,ip,el)%p(ns+j)*screw_velocity(j)/screw_segment(j))
|
||||||
!* Multiplication of screw dislocations
|
!* Multiplication of screw dislocations
|
||||||
|
@ -1279,6 +1362,11 @@ forall (s = 1:ns) &
|
||||||
constitutive_titanmod_dotState(ns+j) = &
|
constitutive_titanmod_dotState(ns+j) = &
|
||||||
DotRhoScrewGeneration(j)+DotRhoScrewAnnihilation(j)
|
DotRhoScrewGeneration(j)+DotRhoScrewAnnihilation(j)
|
||||||
|
|
||||||
|
! write(6,*) 'DotRhoEdgeGeneration(j)',DotRhoEdgeGeneration(j)
|
||||||
|
! write(6,*) 'DotRhoScrewGeneration(j)',DotRhoScrewGeneration(j)
|
||||||
|
! write(6,*) 'DotRhoEdgeAnnihilation(j)',DotRhoEdgeAnnihilation(j)
|
||||||
|
! write(6,*) 'DotRhoScrewAnnihilation(j)',DotRhoScrewAnnihilation(j)
|
||||||
|
|
||||||
enddo
|
enddo
|
||||||
enddo
|
enddo
|
||||||
|
|
||||||
|
@ -1300,7 +1388,6 @@ do f = 1,lattice_maxNtwinFamily ! loop over all
|
||||||
(constitutive_titanmod_MaxTwinFraction(myInstance)-sumf)*&
|
(constitutive_titanmod_MaxTwinFraction(myInstance)-sumf)*&
|
||||||
state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_titanmod_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
|
state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_titanmod_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
|
||||||
endif
|
endif
|
||||||
|
|
||||||
enddo
|
enddo
|
||||||
enddo
|
enddo
|
||||||
|
|
||||||
|
@ -1426,34 +1513,31 @@ do o = 1,phase_Noutput(material_phase(g,ip,el))
|
||||||
DotGamma0*exp(-BoltzmannRatio*(1-StressRatio_p)**constitutive_titanmod_qe_PerSlipSystem(j,myInstance))* &
|
DotGamma0*exp(-BoltzmannRatio*(1-StressRatio_p)**constitutive_titanmod_qe_PerSlipSystem(j,myInstance))* &
|
||||||
sign(1.0_pReal,tau)
|
sign(1.0_pReal,tau)
|
||||||
enddo ; enddo
|
enddo ; enddo
|
||||||
|
|
||||||
|
! invLambdaSlipe', &
|
||||||
|
! 'invLambdaSlips', &
|
||||||
|
! 'etauSlipThreshold', &
|
||||||
|
! 'stauSlipThreshold', &
|
||||||
|
! 'invLambdaSlipTwin
|
||||||
|
|
||||||
c = c + ns
|
c = c + ns
|
||||||
case ('mfp_slip')
|
case ('edgesegment')
|
||||||
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p((4*ns+2*nt+1):(5*ns+2*nt))
|
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p((4*ns+2*nt+1):(5*ns+2*nt))
|
||||||
c = c + ns
|
c = c + ns
|
||||||
case ('resolved_stress_slip')
|
case ('screwsegment')
|
||||||
j = 0_pInt
|
j = 0_pInt
|
||||||
do f = 1,lattice_maxNslipFamily ! loop over all slip families
|
do f = 1,lattice_maxNslipFamily
|
||||||
index_myFamily = sum(lattice_NslipSystem(1:f-1,myStructure)) ! at which index starts my family
|
index_myFamily = sum(lattice_NslipSystem(1:f-1,myStructure))
|
||||||
do i = 1,constitutive_titanmod_Nslip(f,myInstance) ! process each (active) slip system in family
|
do i = 1,constitutive_titanmod_Nslip(f,myInstance)
|
||||||
j = j + 1_pInt
|
j = j + 1_pInt
|
||||||
constitutive_titanmod_postResults(c+j) = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
|
constitutive_titanmod_postResults(c+j) = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
|
||||||
enddo; enddo
|
enddo; enddo
|
||||||
c = c + ns
|
c = c + ns
|
||||||
case ('threshold_stress_slip')
|
case ('edgeresistance')
|
||||||
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p((5*ns+3*nt+1):(6*ns+3*nt))
|
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p((5*ns+3*nt+1):(6*ns+3*nt))
|
||||||
c = c + ns
|
c = c + ns
|
||||||
case ('edge_dipole_distance')
|
case ('screwresistance')
|
||||||
j = 0_pInt
|
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p((6*ns+3*nt+1):(6*ns+3*nt))
|
||||||
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
|
|
||||||
constitutive_titanmod_postResults(c+j) = &
|
|
||||||
(3.0_pReal*constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(f,myInstance))/&
|
|
||||||
(16.0_pReal*pi*abs(dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))))
|
|
||||||
constitutive_titanmod_postResults(c+j) = min(constitutive_titanmod_postResults(c+j),state(g,ip,el)%p(4*ns+2*nt+j))
|
|
||||||
! constitutive_titanmod_postResults(c+j) = max(constitutive_titanmod_postResults(c+j),state(g,ip,el)%p(4*ns+2*nt+j))
|
|
||||||
enddo; enddo
|
|
||||||
c = c + ns
|
c = c + ns
|
||||||
case ('twin_fraction')
|
case ('twin_fraction')
|
||||||
constitutive_titanmod_postResults(c+1:c+nt) = state(g,ip,el)%p((2*ns+1):(2*ns+nt))
|
constitutive_titanmod_postResults(c+1:c+nt) = state(g,ip,el)%p((2*ns+1):(2*ns+nt))
|
||||||
|
@ -1461,9 +1545,9 @@ do o = 1,phase_Noutput(material_phase(g,ip,el))
|
||||||
case ('shear_rate_twin')
|
case ('shear_rate_twin')
|
||||||
if (nt > 0_pInt) then
|
if (nt > 0_pInt) then
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||||||
j = 0_pInt
|
j = 0_pInt
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||||||
do f = 1,lattice_maxNtwinFamily ! loop over all twin families
|
do f = 1,lattice_maxNtwinFamily
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||||||
index_myFamily = sum(lattice_NtwinSystem(1:f-1,myStructure)) ! at which index starts my family
|
index_myFamily = sum(lattice_NtwinSystem(1:f-1,myStructure))
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||||||
do i = 1,constitutive_titanmod_Ntwin(f,myInstance) ! process each (active) twin system in family
|
do i = 1,constitutive_titanmod_Ntwin(f,myInstance)
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||||||
j = j + 1_pInt
|
j = j + 1_pInt
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||||||
|
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||||||
!* Resolved shear stress on twin system
|
!* Resolved shear stress on twin system
|
||||||
|
@ -1498,46 +1582,6 @@ do o = 1,phase_Noutput(material_phase(g,ip,el))
|
||||||
case ('threshold_stress_twin')
|
case ('threshold_stress_twin')
|
||||||
constitutive_titanmod_postResults(c+1:c+nt) = state(g,ip,el)%p((6*ns+3*nt+1):(6*ns+4*nt))
|
constitutive_titanmod_postResults(c+1:c+nt) = state(g,ip,el)%p((6*ns+3*nt+1):(6*ns+4*nt))
|
||||||
c = c + nt
|
c = c + nt
|
||||||
case ('stress_exponent')
|
|
||||||
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 on slip system
|
|
||||||
tau = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
|
|
||||||
!* Stress ratios
|
|
||||||
StressRatio_p = (abs(tau)/state(g,ip,el)%p(5*ns+3*nt+j))**constitutive_titanmod_pe_PerSlipSystem(j,myInstance)
|
|
||||||
StressRatio_pminus1 = (abs(tau)/state(g,ip,el)%p(5*ns+3*nt+j))** &
|
|
||||||
(constitutive_titanmod_pe_PerSlipSystem(j,myInstance)-1.0_pReal)
|
|
||||||
!* Boltzmann ratio
|
|
||||||
BoltzmannRatio = constitutive_titanmod_f0_PerSlipSystem(j,myInstance)/(kB*Temperature)
|
|
||||||
!* Initial shear rates
|
|
||||||
DotGamma0 = &
|
|
||||||
state(g,ip,el)%p(j)*constitutive_titanmod_burgersPerSlipSystem(f,myInstance)* &
|
|
||||||
constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)
|
|
||||||
|
|
||||||
!* Shear rates due to slip
|
|
||||||
gdot_slip = &
|
|
||||||
DotGamma0*exp(-BoltzmannRatio*(1-StressRatio_p)**constitutive_titanmod_qe_PerSlipSystem(j,myInstance))* &
|
|
||||||
sign(1.0_pReal,tau)
|
|
||||||
|
|
||||||
!* Derivatives of shear rates
|
|
||||||
dgdot_dtauslip = &
|
|
||||||
((abs(gdot_slip)*BoltzmannRatio*&
|
|
||||||
constitutive_titanmod_pe_PerSlipSystem(j,myInstance)*constitutive_titanmod_qe_PerSlipSystem(j,myInstance))/ &
|
|
||||||
state(g,ip,el)%p(5*ns+3*nt+j))*&
|
|
||||||
StressRatio_pminus1*(1-StressRatio_p)**(constitutive_titanmod_qe_PerSlipSystem(j,myInstance)-1.0_pReal)
|
|
||||||
|
|
||||||
!* Stress exponent
|
|
||||||
if (gdot_slip==0.0_pReal) then
|
|
||||||
constitutive_titanmod_postResults(c+j) = 0.0_pReal
|
|
||||||
else
|
|
||||||
constitutive_titanmod_postResults(c+j) = (tau/gdot_slip)*dgdot_dtauslip
|
|
||||||
endif
|
|
||||||
enddo ; enddo
|
|
||||||
c = c + ns
|
|
||||||
|
|
||||||
end select
|
end select
|
||||||
enddo
|
enddo
|
||||||
|
|
Loading…
Reference in New Issue