storing per family makes loops obsolete
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@ -42,31 +42,20 @@ module plastic_disloUCLA
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plastic_disloUCLA_GrainSize, & !< grain size
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plastic_disloUCLA_CEdgeDipMinDistance, & !<
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plastic_disloUCLA_SolidSolutionStrength, & !< Strength due to elements in solid solution
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plastic_disloUCLA_dipoleFormationFactor, & !< scaling factor for dipole formation: 0: off, 1: on. other values not useful
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plastic_disloUCLA_aTolRho !< absolute tolerance for integration of dislocation density
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plastic_disloUCLA_dipoleFormationFactor !< scaling factor for dipole formation: 0: off, 1: on. other values not useful
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real(pReal), dimension(:,:), allocatable, private :: &
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plastic_disloUCLA_rhoEdge0, & !< initial edge dislocation density per slip system for each family and instance
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plastic_disloUCLA_rhoEdgeDip0, & !< initial edge dipole density per slip system for each family and instance
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plastic_disloUCLA_burgersPerSlipFamily, & !< absolute length of burgers vector [m] for each slip family and instance
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plastic_disloUCLA_burgersPerSlipSystem, & !< absolute length of burgers vector [m] for each slip system and instance
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plastic_disloUCLA_QedgePerSlipFamily, & !< activation energy for glide [J] for each slip family and instance
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plastic_disloUCLA_QedgePerSlipSystem, & !< activation energy for glide [J] for each slip system and instance
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plastic_disloUCLA_v0PerSlipFamily, & !< dislocation velocity prefactor [m/s] for each family and instance
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plastic_disloUCLA_v0PerSlipSystem, & !< dislocation velocity prefactor [m/s] for each slip system and instance
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plastic_disloUCLA_tau_peierlsPerSlipFamily, & !< Peierls stress [Pa] for each family and instance
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plastic_disloUCLA_CLambdaSlipPerSlipFamily, & !< Adj. parameter for distance between 2 forest dislocations for each slip family and instance
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plastic_disloUCLA_CLambdaSlipPerSlipSystem, & !< Adj. parameter for distance between 2 forest dislocations for each slip system and instance
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plastic_disloUCLA_interaction_SlipSlip, & !< coefficients for slip-slip interaction for each interaction type and instance
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plastic_disloUCLA_pPerSlipFamily, & !< p-exponent in glide velocity
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plastic_disloUCLA_qPerSlipFamily, & !< q-exponent in glide velocity
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!* mobility law parameters
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plastic_disloUCLA_kinkheight, & !< height of the kink pair
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plastic_disloUCLA_omega, & !< attempt frequency for kink pair nucleation
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plastic_disloUCLA_kinkwidth, & !< width of the kink pair
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plastic_disloUCLA_friction, & !< friction coeff. B (kMC)
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!*
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plastic_disloUCLA_nonSchmidCoeff !< non-Schmid coefficients (bcc)
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plastic_disloUCLA_friction !< friction coeff. B (kMC)
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real(pReal), dimension(:,:,:), allocatable, private :: &
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plastic_disloUCLA_interactionMatrix_SlipSlip, & !< interaction matrix of the different slip systems for each instance
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plastic_disloUCLA_forestProjectionEdge !< matrix of forest projections of edge dislocations for each instance
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@ -85,6 +74,8 @@ module plastic_disloUCLA
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end enum
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type, private :: tParameters
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real(pReal) :: &
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aTolRho
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real(pReal), allocatable, dimension(:) :: &
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rho0, & !< initial edge dislocation density per slip system for each family and instance
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rhoDip0, & !< initial edge dipole density per slip system for each family and instance
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@ -95,10 +86,9 @@ module plastic_disloUCLA
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p, & !< p-exponent in glide velocity
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q, & !< q-exponent in glide velocity
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!* mobility law parameters
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kinkheight, & !< height of the kink pair
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nu0, & !< attempt frequency for kink pair nucleation
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kinkwidth, & !< width of the kink pair
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!dislolength, & !< dislocation length (lamda)
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kink_height, & !< height of the kink pair
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kink_width, & !< width of the kink pair
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omega, & !< attempt frequency for kink pair nucleation
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viscosity, & !< friction coeff. B (kMC)
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!*
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tauPeierls, &
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@ -166,7 +156,8 @@ subroutine plastic_disloUCLA_init(fileUnit)
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use math, only: &
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math_Mandel3333to66, &
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math_Voigt66to3333, &
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math_mul3x3
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math_mul3x3, &
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math_expand
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use IO, only: &
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IO_read, &
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IO_lc, &
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@ -243,28 +234,19 @@ material_allocatePlasticState
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allocate(plastic_disloUCLA_GrainSize(maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_CEdgeDipMinDistance(maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_SolidSolutionStrength(maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_aTolRho(maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_dipoleFormationFactor(maxNinstance), source=1.0_pReal) !should be on by default
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allocate(plastic_disloUCLA_rhoEdge0(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_rhoEdgeDip0(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_burgersPerSlipFamily(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal)
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allocate(plastic_disloUCLA_kinkheight(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_omega(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_kinkwidth(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_friction(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_QedgePerSlipFamily(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_v0PerSlipFamily(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_tau_peierlsPerSlipFamily(lattice_maxNslipFamily,maxNinstance), &
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source=0.0_pReal)
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allocate(plastic_disloUCLA_pPerSlipFamily(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_qPerSlipFamily(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_CLambdaSlipPerSlipFamily(lattice_maxNslipFamily,maxNinstance), &
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source=0.0_pReal)
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allocate(plastic_disloUCLA_interaction_SlipSlip(lattice_maxNinteraction,maxNinstance),source=0.0_pReal)
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allocate(plastic_disloUCLA_nonSchmidCoeff(lattice_maxNnonSchmid,maxNinstance), source=0.0_pReal)
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allocate(param(maxNinstance))
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allocate(state(maxNinstance))
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@ -280,7 +262,7 @@ do p = 1_pInt, size(phase_plasticityInstance)
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structure = config_phase(p)%getString('lattice_structure')
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prm%aTolRho = config_phase(p)%getFloat('atol_rho')
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!--------------------------------------------------------------------------------------------------
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! slip related parameters
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prm%Nslip = config_phase(p)%getInts('nslip',defaultVal=emptyIntArray)
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@ -302,18 +284,27 @@ do p = 1_pInt, size(phase_plasticityInstance)
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structure(1:3))
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!prm%rho0 = config_phase(p)%getFloats('rho0')
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!prm%rhoDip0 = config_phase(p)%getFloats('dipole_rho0')
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!prm%burgers = config_phase(p)%getFloats('burgers')
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!prm%H0kp = config_phase(p)%getFloats('h0')
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prm%burgers = config_phase(p)%getFloats('slipburgers')
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prm%H0kp = config_phase(p)%getFloats('qedge')
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!prm%v0 = config_phase(p)%getFloats('v0')
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!prm%clambda = config_phase(p)%getFloats('clambda')
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!prm%tauPeierls = config_phase(p)%getFloats('peierls_stress')
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!prm%p = config_phase(p)%getFloats('pexponent',defaultVal=[(1.0_pReal,i=1_pInt,size(prm%Nslip))])
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!prm%q = config_phase(p)%getFloats('qexponent',defaultVal=[(1.0_pReal,i=1_pInt,size(prm%Nslip))])
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!prm%kinkHeight = config_phase(p)%getFloats('kink_height')
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!prm%kinkWidth = config_phase(p)%getFloats('kink_width')
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!prm%nu0 = config_phase(p)%getFloats('attemptfrequency')
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!prm%dislolength = config_phase(p)%getFloats('dislolength') ! what is this used for?
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prm%p = config_phase(p)%getFloats('p_slip',defaultVal=[(1.0_pReal,i=1_pInt,size(prm%Nslip))])
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prm%q = config_phase(p)%getFloats('q_slip',defaultVal=[(1.0_pReal,i=1_pInt,size(prm%Nslip))])
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prm%kink_height = config_phase(p)%getFloats('kink_height')
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prm%kink_width = config_phase(p)%getFloats('kink_width')
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prm%omega = config_phase(p)%getFloats('omega')
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!prm%viscosity = config_phase(p)%getFloats('viscosity')
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! expand: family => system
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prm%q = math_expand(prm%q, prm%Nslip)
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prm%p = math_expand(prm%p, prm%Nslip)
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prm%H0kp = math_expand(prm%H0kp, prm%Nslip)
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prm%burgers = math_expand(prm%burgers, prm%Nslip)
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prm%kink_height = math_expand(prm%kink_height, prm%Nslip)
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prm%kink_width = math_expand(prm%kink_width, prm%Nslip)
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prm%omega = math_expand(prm%omega, prm%Nslip)
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endif slipActive
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@ -417,10 +408,6 @@ plastic_disloUCLA_Noutput(phase_plasticityInstance(p)) = plastic_disloUCLA_Noutp
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plastic_disloUCLA_rhoEdge0(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
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case ('rhoedgedip0')
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plastic_disloUCLA_rhoEdgeDip0(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
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case ('slipburgers')
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plastic_disloUCLA_burgersPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
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case ('qedge')
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plastic_disloUCLA_QedgePerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
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case ('v0')
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plastic_disloUCLA_v0PerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
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case ('clambdaslip')
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@ -429,19 +416,6 @@ plastic_disloUCLA_Noutput(phase_plasticityInstance(p)) = plastic_disloUCLA_Noutp
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if (lattice_structure(phase) /= LATTICE_bcc_ID) &
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call IO_warning(42_pInt,ext_msg=trim(tag)//' for non-bcc ('//PLASTICITY_DISLOUCLA_label//')')
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plastic_disloUCLA_tau_peierlsPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
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case ('p_slip')
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plastic_disloUCLA_pPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
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case ('q_slip')
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plastic_disloUCLA_qPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
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case ('kink_height')
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plastic_disloUCLA_kinkheight(1:Nchunks_SlipFamilies,instance) = &
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tempPerSlip(1:Nchunks_SlipFamilies)
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case ('omega')
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plastic_disloUCLA_omega(1:Nchunks_SlipFamilies,instance) = &
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tempPerSlip(1:Nchunks_SlipFamilies)
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case ('kink_width')
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plastic_disloUCLA_kinkwidth(1:Nchunks_SlipFamilies,instance) = &
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tempPerSlip(1:Nchunks_SlipFamilies)
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case ('friction_coeff')
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plastic_disloUCLA_friction(1:Nchunks_SlipFamilies,instance) = &
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tempPerSlip(1:Nchunks_SlipFamilies)
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@ -455,12 +429,6 @@ plastic_disloUCLA_Noutput(phase_plasticityInstance(p)) = plastic_disloUCLA_Noutp
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do j = 1_pInt, Nchunks_SlipSlip
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plastic_disloUCLA_interaction_SlipSlip(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j)
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enddo
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case ('nonschmid_coefficients')
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if (chunkPos(1) < 1_pInt + Nchunks_nonSchmid) &
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call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOUCLA_label//')')
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do j = 1_pInt,Nchunks_nonSchmid
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plastic_disloUCLA_nonSchmidCoeff(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j)
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enddo
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!--------------------------------------------------------------------------------------------------
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! parameters independent of number of slip systems
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case ('grainsize')
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@ -469,8 +437,6 @@ plastic_disloUCLA_Noutput(phase_plasticityInstance(p)) = plastic_disloUCLA_Noutp
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plastic_disloUCLA_D0(instance) = IO_floatValue(line,chunkPos,2_pInt)
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case ('qsd')
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plastic_disloUCLA_Qsd(instance) = IO_floatValue(line,chunkPos,2_pInt)
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case ('atol_rho')
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plastic_disloUCLA_aTolRho(instance) = IO_floatValue(line,chunkPos,2_pInt)
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case ('solidsolutionstrength')
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plastic_disloUCLA_SolidSolutionStrength(instance) = IO_floatValue(line,chunkPos,2_pInt)
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case ('cedgedipmindistance')
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@ -494,8 +460,8 @@ plastic_disloUCLA_Noutput(phase_plasticityInstance(p)) = plastic_disloUCLA_Noutp
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call IO_error(211_pInt,el=instance,ext_msg='rhoEdge0 ('//PLASTICITY_DISLOUCLA_label//')')
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if (plastic_disloUCLA_rhoEdgeDip0(f,instance) < 0.0_pReal) &
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call IO_error(211_pInt,el=instance,ext_msg='rhoEdgeDip0 ('//PLASTICITY_DISLOUCLA_label//')')
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if (plastic_disloUCLA_burgersPerSlipFamily(f,instance) <= 0.0_pReal) &
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call IO_error(211_pInt,el=instance,ext_msg='slipBurgers ('//PLASTICITY_DISLOUCLA_label//')')
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!if (plastic_disloUCLA_burgersPerSlipFamily(f,instance) <= 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='slipBurgers ('//PLASTICITY_DISLOUCLA_label//')')
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if (plastic_disloUCLA_v0PerSlipFamily(f,instance) <= 0.0_pReal) &
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call IO_error(211_pInt,el=instance,ext_msg='v0 ('//PLASTICITY_DISLOUCLA_label//')')
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if (plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance) < 0.0_pReal) &
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@ -522,8 +488,6 @@ plastic_disloUCLA_Noutput(phase_plasticityInstance(p)) = plastic_disloUCLA_Noutp
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! allocation of variables whose size depends on the total number of active slip systems
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maxTotalNslip = maxval(plastic_disloUCLA_totalNslip)
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allocate(plastic_disloUCLA_burgersPerSlipSystem(maxTotalNslip, maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_QedgePerSlipSystem(maxTotalNslip, maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_v0PerSlipSystem(maxTotalNslip, maxNinstance), source=0.0_pReal)
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allocate(plastic_disloUCLA_CLambdaSlipPerSlipSystem(maxTotalNslip, maxNinstance),source=0.0_pReal)
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@ -541,7 +505,7 @@ plastic_disloUCLA_Noutput(phase_plasticityInstance(p)) = plastic_disloUCLA_Noutp
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instance = phase_plasticityInstance(phase)
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ns = plastic_disloUCLA_totalNslip(instance)
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associate(prm => param(instance), stt=>state(instance))
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!--------------------------------------------------------------------------------------------------
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! allocate state arrays
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@ -567,16 +531,7 @@ plastic_disloUCLA_Noutput(phase_plasticityInstance(p)) = plastic_disloUCLA_Noutp
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index_myFamily = sum(plastic_disloUCLA_Nslip(1:f-1_pInt,instance)) ! index in truncated slip system list
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mySlipSystems: do j = 1_pInt,plastic_disloUCLA_Nslip(f,instance)
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!* Burgers vector,
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! dislocation velocity prefactor,
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! mean free path prefactor,
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! and minimum dipole distance
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plastic_disloUCLA_burgersPerSlipSystem(index_myFamily+j,instance) = &
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plastic_disloUCLA_burgersPerSlipFamily(f,instance)
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plastic_disloUCLA_QedgePerSlipSystem(index_myFamily+j,instance) = &
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plastic_disloUCLA_QedgePerSlipFamily(f,instance)
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plastic_disloUCLA_v0PerSlipSystem(index_myFamily+j,instance) = &
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plastic_disloUCLA_v0PerSlipFamily(f,instance)
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@ -606,13 +561,13 @@ plastic_disloUCLA_Noutput(phase_plasticityInstance(p)) = plastic_disloUCLA_Noutp
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endIndex=ns
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state(instance)%rhoEdge=>plasticState(phase)%state(startIndex:endIndex,:)
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dotState(instance)%rhoEdge=>plasticState(phase)%dotState(startIndex:endIndex,:)
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plasticState(p)%aTolState(startIndex:endIndex) = plastic_disloUCLA_aTolRho(instance)
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plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolRho
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startIndex=endIndex+1_pInt
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endIndex=endIndex+ns
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state(instance)%rhoEdgeDip=>plasticState(phase)%state(startIndex:endIndex,:)
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dotState(instance)%rhoEdgeDip=>plasticState(phase)%dotState(startIndex:endIndex,:)
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plasticState(p)%aTolState(startIndex:endIndex) = plastic_disloUCLA_aTolRho(instance)
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plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolRho
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startIndex=endIndex+1_pInt
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endIndex=endIndex+ns
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@ -635,6 +590,7 @@ plastic_disloUCLA_Noutput(phase_plasticityInstance(p)) = plastic_disloUCLA_Noutp
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call plastic_disloUCLA_stateInit(phase,instance)
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plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
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end associate
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endif myPhase2
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enddo initializeInstances
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@ -669,7 +625,7 @@ subroutine plastic_disloUCLA_stateInit(ph,instance)
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tauSlipThreshold0
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tempState = 0.0_pReal
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ns = plastic_disloUCLA_totalNslip(instance)
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associate(prm => param(instance), stt => state(instance))
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!--------------------------------------------------------------------------------------------------
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! initialize basic slip state variables
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do f = 1_pInt,lattice_maxNslipFamily
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@ -699,13 +655,13 @@ subroutine plastic_disloUCLA_stateInit(ph,instance)
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forall (i = 1_pInt:ns) &
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tauSlipThreshold0(i) = &
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lattice_mu(ph)*plastic_disloUCLA_burgersPerSlipSystem(i,instance) * &
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lattice_mu(ph)*prm%burgers(i) * &
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sqrt(dot_product((rhoEdge0+rhoEdgeDip0),plastic_disloUCLA_interactionMatrix_SlipSlip(i,1:ns,instance)))
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tempState(5_pInt*ns+1:6_pInt*ns) = tauSlipThreshold0
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plasticState(ph)%state = spread(tempState,2,size(plasticState(ph)%state(1,:)))
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end associate
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end subroutine plastic_disloUCLA_stateInit
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|
||||
|
||||
|
@ -740,7 +696,7 @@ subroutine plastic_disloUCLA_microstructure(temperature,ipc,ip,el)
|
|||
ph = phaseAt(ipc,ip,el)
|
||||
instance = phase_plasticityInstance(ph)
|
||||
ns = plastic_disloUCLA_totalNslip(instance)
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
!* 1/mean free distance between 2 forest dislocations seen by a moving dislocation
|
||||
forall (s = 1_pInt:ns) &
|
||||
state(instance)%invLambdaSlip(s,of) = &
|
||||
|
@ -758,10 +714,10 @@ subroutine plastic_disloUCLA_microstructure(temperature,ipc,ip,el)
|
|||
!* threshold stress for dislocation motion
|
||||
forall (s = 1_pInt:ns) &
|
||||
state(instance)%threshold_stress_slip(s,of) = &
|
||||
lattice_mu(ph)*plastic_disloUCLA_burgersPerSlipSystem(s,instance)*&
|
||||
lattice_mu(ph)*prm%burgers(s)*&
|
||||
sqrt(dot_product((state(instance)%rhoEdge(1_pInt:ns,of)+state(instance)%rhoEdgeDip(1_pInt:ns,of)),&
|
||||
plastic_disloUCLA_interactionMatrix_SlipSlip(s,1:ns,instance)))
|
||||
|
||||
end associate
|
||||
end subroutine plastic_disloUCLA_microstructure
|
||||
|
||||
|
||||
|
@ -868,7 +824,7 @@ subroutine plastic_disloUCLA_dotState(Mp,Temperature,ipc,ip,el)
|
|||
ns = plastic_disloUCLA_totalNslip(instance)
|
||||
|
||||
plasticState(ph)%dotState(:,of) = 0.0_pReal
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
!* Dislocation density evolution
|
||||
call kinetics(Mp,Temperature,ph,instance,of, &
|
||||
gdot_slip_pos,dgdot_dtauslip_pos,tau_slip_pos,gdot_slip_neg,dgdot_dtauslip_neg,tau_slip_neg)
|
||||
|
@ -882,38 +838,38 @@ subroutine plastic_disloUCLA_dotState(Mp,Temperature,ipc,ip,el)
|
|||
|
||||
!* Multiplication
|
||||
DotRhoMultiplication = abs(dotState(instance)%accshear_slip(j,of))/&
|
||||
(plastic_disloUCLA_burgersPerSlipSystem(j,instance)* &
|
||||
(prm%burgers(j)* &
|
||||
state(instance)%mfp_slip(j,of))
|
||||
|
||||
!* Dipole formation
|
||||
EdgeDipMinDistance = &
|
||||
plastic_disloUCLA_CEdgeDipMinDistance(instance)*plastic_disloUCLA_burgersPerSlipSystem(j,instance)
|
||||
plastic_disloUCLA_CEdgeDipMinDistance(instance)*prm%burgers(j)
|
||||
if (dEq0(tau_slip_pos(j))) then
|
||||
DotRhoDipFormation = 0.0_pReal
|
||||
else
|
||||
EdgeDipDistance = &
|
||||
(3.0_pReal*lattice_mu(ph)*plastic_disloUCLA_burgersPerSlipSystem(j,instance))/&
|
||||
(3.0_pReal*lattice_mu(ph)*prm%burgers(j))/&
|
||||
(16.0_pReal*pi*abs(tau_slip_pos(j)))
|
||||
if (EdgeDipDistance>state(instance)%mfp_slip(j,of)) EdgeDipDistance=state(instance)%mfp_slip(j,of)
|
||||
if (EdgeDipDistance<EdgeDipMinDistance) EdgeDipDistance=EdgeDipMinDistance
|
||||
DotRhoDipFormation = &
|
||||
((2.0_pReal*EdgeDipDistance)/plastic_disloUCLA_burgersPerSlipSystem(j,instance))*&
|
||||
((2.0_pReal*EdgeDipDistance)/prm%burgers(j))*&
|
||||
state(instance)%rhoEdge(j,of)*abs(dotState(instance)%accshear_slip(j,of))*plastic_disloUCLA_dipoleFormationFactor(instance)
|
||||
endif
|
||||
|
||||
!* Spontaneous annihilation of 2 single edge dislocations
|
||||
DotRhoEdgeEdgeAnnihilation = &
|
||||
((2.0_pReal*EdgeDipMinDistance)/plastic_disloUCLA_burgersPerSlipSystem(j,instance))*&
|
||||
((2.0_pReal*EdgeDipMinDistance)/prm%burgers(j))*&
|
||||
state(instance)%rhoEdge(j,of)*abs(dotState(instance)%accshear_slip(j,of))
|
||||
|
||||
!* Spontaneous annihilation of a single edge dislocation with a dipole constituent
|
||||
DotRhoEdgeDipAnnihilation = &
|
||||
((2.0_pReal*EdgeDipMinDistance)/plastic_disloUCLA_burgersPerSlipSystem(j,instance))*&
|
||||
((2.0_pReal*EdgeDipMinDistance)/prm%burgers(j))*&
|
||||
state(instance)%rhoEdgeDip(j,of)*abs(dotState(instance)%accshear_slip(j,of))
|
||||
|
||||
!* Dislocation dipole climb
|
||||
AtomicVolume = &
|
||||
plastic_disloUCLA_CAtomicVolume(instance)*plastic_disloUCLA_burgersPerSlipSystem(j,instance)**(3.0_pReal)
|
||||
plastic_disloUCLA_CAtomicVolume(instance)*prm%burgers(j)**(3.0_pReal)
|
||||
VacancyDiffusion = &
|
||||
plastic_disloUCLA_D0(instance)*exp(-plastic_disloUCLA_Qsd(instance)/(kB*Temperature))
|
||||
if (dEq0(tau_slip_pos(j))) then
|
||||
|
@ -937,7 +893,7 @@ subroutine plastic_disloUCLA_dotState(Mp,Temperature,ipc,ip,el)
|
|||
|
||||
enddo slipSystems
|
||||
enddo slipFamilies
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine plastic_disloUCLA_dotState
|
||||
|
||||
|
@ -945,7 +901,7 @@ end subroutine plastic_disloUCLA_dotState
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief return array of constitutive results
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
function plastic_disloUCLA_postResults(Mp,Temperature,ipc,ip,el)
|
||||
function plastic_disloUCLA_postResults(Mp,Temperature,ipc,ip,el) result(postResults)
|
||||
use prec, only: &
|
||||
tol_math_check, &
|
||||
dEq, dNeq0
|
||||
|
@ -974,7 +930,7 @@ math_mul33xx33
|
|||
el !< element
|
||||
|
||||
real(pReal), dimension(plastic_disloUCLA_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
|
||||
plastic_disloUCLA_postResults
|
||||
postResults
|
||||
|
||||
integer(pInt) :: &
|
||||
instance,&
|
||||
|
@ -993,30 +949,30 @@ math_mul33xx33
|
|||
|
||||
!* Required output
|
||||
c = 0_pInt
|
||||
plastic_disloUCLA_postResults = 0.0_pReal
|
||||
|
||||
postResults = 0.0_pReal
|
||||
associate (prm => param(instance))
|
||||
do o = 1_pInt,plastic_disloUCLA_Noutput(instance)
|
||||
select case(plastic_disloUCLA_outputID(o,instance))
|
||||
|
||||
case (rho_ID)
|
||||
plastic_disloUCLA_postResults(c+1_pInt:c+ns) = state(instance)%rhoEdge(1_pInt:ns,of)
|
||||
postResults(c+1_pInt:c+ns) = state(instance)%rhoEdge(1_pInt:ns,of)
|
||||
c = c + ns
|
||||
case (rhoDip_ID)
|
||||
plastic_disloUCLA_postResults(c+1_pInt:c+ns) = state(instance)%rhoEdgeDip(1_pInt:ns,of)
|
||||
postResults(c+1_pInt:c+ns) = state(instance)%rhoEdgeDip(1_pInt:ns,of)
|
||||
c = c + ns
|
||||
case (shearrate_ID,stressexponent_ID)
|
||||
call kinetics(Mp,Temperature,ph,instance,of, &
|
||||
gdot_slip_pos,dgdot_dtauslip_pos,tau_slip_pos,gdot_slip_neg,dgdot_dtauslip_neg,tau_slip_neg)
|
||||
|
||||
if (plastic_disloUCLA_outputID(o,instance) == shearrate_ID) then
|
||||
plastic_disloUCLA_postResults(c+1:c+ns) = (gdot_slip_pos + gdot_slip_neg)*0.5_pReal
|
||||
postResults(c+1:c+ns) = (gdot_slip_pos + gdot_slip_neg)*0.5_pReal
|
||||
c = c + ns
|
||||
elseif(plastic_disloUCLA_outputID(o,instance) == stressexponent_ID) then
|
||||
do j = 1_pInt, ns
|
||||
if (dEq(gdot_slip_pos(j)+gdot_slip_neg(j),0.0_pReal)) then
|
||||
plastic_disloUCLA_postResults(c+j) = 0.0_pReal
|
||||
postResults(c+j) = 0.0_pReal
|
||||
else
|
||||
plastic_disloUCLA_postResults(c+j) = (tau_slip_pos(j)+tau_slip_neg(j))/&
|
||||
postResults(c+j) = (tau_slip_pos(j)+tau_slip_neg(j))/&
|
||||
(gdot_slip_pos(j)+gdot_slip_neg(j))*&
|
||||
(dgdot_dtauslip_pos(j)+dgdot_dtauslip_neg(j))* 0.5_pReal
|
||||
endif
|
||||
|
@ -1025,11 +981,11 @@ math_mul33xx33
|
|||
endif
|
||||
|
||||
case (accumulatedshear_ID)
|
||||
plastic_disloUCLA_postResults(c+1_pInt:c+ns) = &
|
||||
postResults(c+1_pInt:c+ns) = &
|
||||
state(instance)%accshear_slip(1_pInt:ns, of)
|
||||
c = c + ns
|
||||
case (mfp_ID)
|
||||
plastic_disloUCLA_postResults(c+1_pInt:c+ns) =&
|
||||
postResults(c+1_pInt:c+ns) =&
|
||||
state(instance)%mfp_slip(1_pInt:ns, of)
|
||||
c = c + ns
|
||||
case (resolvedstress_ID)
|
||||
|
@ -1038,12 +994,12 @@ math_mul33xx33
|
|||
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
|
||||
slipSystems1: do i = 1_pInt,plastic_disloUCLA_Nslip(f,instance)
|
||||
j = j + 1_pInt
|
||||
plastic_disloUCLA_postResults(c+j) =&
|
||||
postResults(c+j) =&
|
||||
math_mul33xx33(Mp,lattice_Sslip(:,:,1,index_myFamily+i,ph))
|
||||
enddo slipSystems1; enddo slipFamilies1
|
||||
c = c + ns
|
||||
case (thresholdstress_ID)
|
||||
plastic_disloUCLA_postResults(c+1_pInt:c+ns) = &
|
||||
postResults(c+1_pInt:c+ns) = &
|
||||
state(instance)%threshold_stress_slip(1_pInt:ns,of)
|
||||
c = c + ns
|
||||
case (dipoleDistance_ID)
|
||||
|
@ -1053,18 +1009,19 @@ math_mul33xx33
|
|||
slipSystems2: do i = 1_pInt,plastic_disloUCLA_Nslip(f,instance)
|
||||
j = j + 1_pInt
|
||||
if (dNeq0(abs(math_mul33xx33(Mp,lattice_Sslip(:,:,1,index_myFamily+i,ph))))) then
|
||||
plastic_disloUCLA_postResults(c+j) = &
|
||||
(3.0_pReal*lattice_mu(ph)*plastic_disloUCLA_burgersPerSlipSystem(j,instance))/&
|
||||
postResults(c+j) = &
|
||||
(3.0_pReal*lattice_mu(ph)*prm%burgers(j))/&
|
||||
(16.0_pReal*pi*abs(math_mul33xx33(Mp,lattice_Sslip(:,:,1,index_myFamily+i,ph))))
|
||||
else
|
||||
plastic_disloUCLA_postResults(c+j) = huge(1.0_pReal)
|
||||
postResults(c+j) = huge(1.0_pReal)
|
||||
endif
|
||||
plastic_disloUCLA_postResults(c+j)=min(plastic_disloUCLA_postResults(c+j),&
|
||||
postResults(c+j)=min(postResults(c+j),&
|
||||
state(instance)%mfp_slip(j,of))
|
||||
enddo slipSystems2; enddo slipFamilies2
|
||||
c = c + ns
|
||||
end select
|
||||
enddo
|
||||
end associate
|
||||
end function plastic_disloUCLA_postResults
|
||||
|
||||
|
||||
|
@ -1106,7 +1063,7 @@ ph, instance,of
|
|||
dvel_slip, vel_slip
|
||||
real(pReal), intent(out), dimension(plastic_disloUCLA_totalNslip(instance)) :: &
|
||||
gdot_slip_pos,dgdot_dtauslip_pos,tau_slip_pos,gdot_slip_neg,dgdot_dtauslip_neg,tau_slip_neg
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
!* Shortened notation
|
||||
ns = plastic_disloUCLA_totalNslip(instance)
|
||||
|
||||
|
@ -1121,40 +1078,33 @@ ph, instance,of
|
|||
slipSystems: do i = 1_pInt,plastic_disloUCLA_Nslip(f,instance)
|
||||
j = j + 1_pInt
|
||||
!* Boltzmann ratio
|
||||
BoltzmannRatio = plastic_disloUCLA_QedgePerSlipSystem(j,instance)/(kB*Temperature)
|
||||
BoltzmannRatio = prm%H0kp(j)/(kB*Temperature)
|
||||
!* Initial shear rates
|
||||
DotGamma0 = &
|
||||
state(instance)%rhoEdge(j,of)*plastic_disloUCLA_burgersPerSlipSystem(j,instance)*&
|
||||
state(instance)%rhoEdge(j,of)*prm%burgers(j)*&
|
||||
plastic_disloUCLA_v0PerSlipSystem(j,instance)
|
||||
!* Resolved shear stress on slip system
|
||||
tau_slip_pos(j) = math_mul33xx33(Mp,lattice_Sslip(:,:,1,index_myFamily+i,ph))
|
||||
tau_slip_neg(j) = tau_slip_pos(j)
|
||||
|
||||
nonSchmidSystems: do k = 1,lattice_NnonSchmid(ph)
|
||||
tau_slip_pos = tau_slip_pos + plastic_disloUCLA_nonSchmidCoeff(k,instance)* &
|
||||
math_mul33xx33(Mp,lattice_Sslip(1:3,1:3,2*k,index_myFamily+i,ph))
|
||||
tau_slip_neg = tau_slip_neg + plastic_disloUCLA_nonSchmidCoeff(k,instance)* &
|
||||
math_mul33xx33(Mp,lattice_Sslip(1:3,1:3,2*k+1,index_myFamily+i,ph))
|
||||
enddo nonSchmidSystems
|
||||
tau_slip_pos(j) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,j))
|
||||
tau_slip_neg(j) = math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,j))
|
||||
|
||||
significantPositiveTau: if((abs(tau_slip_pos(j))-state(instance)%threshold_stress_slip(j, of)) > tol_math_check) then
|
||||
!* Stress ratio
|
||||
stressRatio = ((abs(tau_slip_pos(j))-state(instance)%threshold_stress_slip(j, of))/&
|
||||
(plastic_disloUCLA_SolidSolutionStrength(instance)+&
|
||||
plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance)))
|
||||
stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance)
|
||||
stressRatio_pminus1 = stressRatio**(plastic_disloUCLA_pPerSlipFamily(f,instance)-1.0_pReal)
|
||||
stressRatio_p = stressRatio** prm%p(j)
|
||||
stressRatio_pminus1 = stressRatio**(prm%p(j)-1.0_pReal)
|
||||
!* Shear rates due to slip
|
||||
vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
|
||||
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
|
||||
* ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
|
||||
vel_slip = 2.0_pReal*prm%burgers(j) &
|
||||
* prm%kink_height(j) * prm%omega(j) &
|
||||
* ( state(instance)%mfp_slip(j,of) - prm%kink_width(j) ) &
|
||||
* (tau_slip_pos(j) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
|
||||
/ ( &
|
||||
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos(j) &
|
||||
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
|
||||
2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_pos(j) &
|
||||
+ prm%omega(j) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
)
|
||||
|
||||
gdot_slip_pos(j) = DotGamma0 &
|
||||
|
@ -1163,41 +1113,41 @@ ph, instance,of
|
|||
!* Derivatives of shear rates
|
||||
|
||||
dvel_slip = &
|
||||
2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
|
||||
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
|
||||
* ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
|
||||
2.0_pReal*prm%burgers(j) &
|
||||
* prm%kink_height(j) * prm%omega(j) &
|
||||
* ( state(instance)%mfp_slip(j,of) - prm%kink_width(j) ) &
|
||||
* ( &
|
||||
(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
|
||||
(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
+ tau_slip_pos(j) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i)
|
||||
*BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)&
|
||||
*plastic_disloUCLA_qPerSlipFamily(f,instance)/&
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))& !deltaf(i)
|
||||
*BoltzmannRatio*prm%p(j)&
|
||||
*prm%q(j)/&
|
||||
(plastic_disloUCLA_SolidSolutionStrength(instance)+plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))*&
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(plastic_disloUCLA_qPerSlipFamily(f,instance)-1.0_pReal) ) &!deltaf(f)
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal) ) &!deltaf(f)
|
||||
) &
|
||||
* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos(j) &
|
||||
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
|
||||
* (2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_pos(j) &
|
||||
+ prm%omega(j) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
) &
|
||||
- (tau_slip_pos(j) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
|
||||
* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal) &
|
||||
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i)
|
||||
*BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)&
|
||||
*plastic_disloUCLA_qPerSlipFamily(f,instance)/&
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
|
||||
* (2.0_pReal*(prm%burgers(j)**2.0_pReal) &
|
||||
+ prm%omega(j) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))& !deltaf(i)
|
||||
*BoltzmannRatio*prm%p(j)&
|
||||
*prm%q(j)/&
|
||||
(plastic_disloUCLA_SolidSolutionStrength(instance)+plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))*&
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(plastic_disloUCLA_qPerSlipFamily(f,instance)-1.0_pReal) )& !deltaf(f)
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal) )& !deltaf(f)
|
||||
) &
|
||||
) &
|
||||
/ ( &
|
||||
( &
|
||||
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos(j) &
|
||||
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
|
||||
2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_pos(j) &
|
||||
+ prm%omega(j) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
)**2.0_pReal &
|
||||
)
|
||||
|
||||
|
@ -1209,19 +1159,19 @@ ph, instance,of
|
|||
stressRatio = ((abs(tau_slip_neg(j))-state(instance)%threshold_stress_slip(j, of))/&
|
||||
(plastic_disloUCLA_SolidSolutionStrength(instance)+&
|
||||
plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance)))
|
||||
stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance)
|
||||
stressRatio_pminus1 = stressRatio**(plastic_disloUCLA_pPerSlipFamily(f,instance)-1.0_pReal)
|
||||
stressRatio_p = stressRatio** prm%p(j)
|
||||
stressRatio_pminus1 = stressRatio**(prm%p(j)-1.0_pReal)
|
||||
!* Shear rates due to slip
|
||||
vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
|
||||
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
|
||||
* ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
|
||||
vel_slip = 2.0_pReal*prm%burgers(j) &
|
||||
* prm%kink_height(j) * prm%omega(j) &
|
||||
* ( state(instance)%mfp_slip(j,of) - prm%kink_width(j) ) &
|
||||
* (tau_slip_neg(j) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
|
||||
/ ( &
|
||||
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
|
||||
2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ prm%omega(j) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
)
|
||||
|
||||
gdot_slip_neg(j) = DotGamma0 &
|
||||
|
@ -1229,41 +1179,41 @@ ph, instance,of
|
|||
* sign(1.0_pReal,tau_slip_neg(j))
|
||||
!* Derivatives of shear rates
|
||||
dvel_slip = &
|
||||
2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
|
||||
* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
|
||||
* ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
|
||||
2.0_pReal*prm%burgers(j) &
|
||||
* prm%kink_height(j) * prm%omega(j) &
|
||||
* ( state(instance)%mfp_slip(j,of) - prm%kink_width(j) ) &
|
||||
* ( &
|
||||
(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
|
||||
(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
+ tau_slip_neg(j) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i)
|
||||
*BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)&
|
||||
*plastic_disloUCLA_qPerSlipFamily(f,instance)/&
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))& !deltaf(i)
|
||||
*BoltzmannRatio*prm%p(j)&
|
||||
*prm%q(j)/&
|
||||
(plastic_disloUCLA_SolidSolutionStrength(instance)+plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))*&
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(plastic_disloUCLA_qPerSlipFamily(f,instance)-1.0_pReal) ) &!deltaf(f)
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal) ) &!deltaf(f)
|
||||
) &
|
||||
* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
|
||||
* (2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ prm%omega(j) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
) &
|
||||
- (tau_slip_neg(j) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
|
||||
* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal) &
|
||||
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i)
|
||||
*BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)&
|
||||
*plastic_disloUCLA_qPerSlipFamily(f,instance)/&
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
|
||||
* (2.0_pReal*(prm%burgers(j)**2.0_pReal) &
|
||||
+ prm%omega(j) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))& !deltaf(i)
|
||||
*BoltzmannRatio*prm%p(j)&
|
||||
*prm%q(j)/&
|
||||
(plastic_disloUCLA_SolidSolutionStrength(instance)+plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))*&
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(plastic_disloUCLA_qPerSlipFamily(f,instance)-1.0_pReal) )& !deltaf(f)
|
||||
StressRatio_pminus1*(1-StressRatio_p)**(prm%q(j)-1.0_pReal) )& !deltaf(f)
|
||||
) &
|
||||
) &
|
||||
/ ( &
|
||||
( &
|
||||
2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
|
||||
2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ prm%omega(j) * plastic_disloUCLA_friction(f,instance) &
|
||||
*(( state(instance)%mfp_slip(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
)**2.0_pReal &
|
||||
)
|
||||
|
||||
|
@ -1273,7 +1223,7 @@ ph, instance,of
|
|||
endif significantNegativeTau
|
||||
enddo slipSystems
|
||||
enddo slipFamilies
|
||||
|
||||
end associate
|
||||
end subroutine kinetics
|
||||
|
||||
end module plastic_disloUCLA
|
||||
|
|
Loading…
Reference in New Issue