avoid code duplication
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@ -794,11 +794,10 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
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!--------------------------------------------------------------------------------------------------
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! Dislocation glide part
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gdot_slip_pos = 0.0_pReal
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gdot_slip_neg = 0.0_pReal
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dgdot_dtauslip_pos = 0.0_pReal
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dgdot_dtauslip_neg = 0.0_pReal
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!* Dislocation density evolution
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call kinetics(Tstar_v,Temperature,ipc,ip,el, &
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gdot_slip_pos,dgdot_dtauslip_pos,tau_slip_pos,gdot_slip_neg,dgdot_dtauslip_neg,tau_slip_neg)
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j = 0_pInt
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slipFamilies: do f = 1_pInt,lattice_maxNslipFamily
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index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
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@ -810,155 +809,15 @@ subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature
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DotGamma0 = &
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state(instance)%rhoEdge(j,of)*plastic_disloUCLA_burgersPerSlipSystem(j,instance)*&
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plastic_disloUCLA_v0PerSlipSystem(j,instance)
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!* Resolved shear stress on slip system
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tau_slip_pos(j) = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,ph))
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tau_slip_neg(j) = tau_slip_pos(j)
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nonSchmid_tensor(1:3,1:3,1) = lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph)
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nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,1)
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nonSchmidSystems: do k = 1,lattice_NnonSchmid(ph)
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tau_slip_pos(j) = tau_slip_pos(j) + plastic_disloUCLA_nonSchmidCoeff(k,instance)* &
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dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k, index_myFamily+i,ph))
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tau_slip_neg(j) = tau_slip_neg(j) + plastic_disloUCLA_nonSchmidCoeff(k,instance)* &
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dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,ph))
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nonSchmid_tensor(1:3,1:3,1) = nonSchmid_tensor(1:3,1:3,1) + plastic_disloUCLA_nonSchmidCoeff(k,instance)*&
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lattice_Sslip(1:3,1:3,2*k, index_myFamily+i,ph)
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nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,2) + plastic_disloUCLA_nonSchmidCoeff(k,instance)*&
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lattice_Sslip(1:3,1:3,2*k+1,index_myFamily+i,ph)
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enddo nonSchmidSystems
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significantPostitiveStress: if((abs(tau_slip_pos(j))-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
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!* Stress ratio
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stressRatio = ((abs(tau_slip_pos(j))-state(instance)%threshold_stress_slip(j,of))/&
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(plastic_disloUCLA_SolidSolutionStrength(instance)+&
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plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance)))
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stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance)
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stressRatio_pminus1 = stressRatio**(plastic_disloUCLA_pPerSlipFamily(f,instance)-1.0_pReal)
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!* Shear rates due to slip
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vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
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* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
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* ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
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* (tau_slip_pos(j) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
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/ ( &
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2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos(j) &
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+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
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*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
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)
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gdot_slip_pos(j) = DotGamma0 &
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* vel_slip &
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* sign(1.0_pReal,tau_slip_pos(j))
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!* Derivatives of shear rates
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dvel_slip = &
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2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
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* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
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* ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
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* ( &
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(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
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+ tau_slip_pos(j) &
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* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i)
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*BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)&
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*plastic_disloUCLA_qPerSlipFamily(f,instance)/&
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(plastic_disloUCLA_SolidSolutionStrength(instance)+plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))*&
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StressRatio_pminus1*(1-StressRatio_p)**(plastic_disloUCLA_qPerSlipFamily(f,instance)-1.0_pReal) ) &!deltaf(f)
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) &
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* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos(j) &
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+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
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*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
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) &
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- (tau_slip_pos(j) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
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* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal) &
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+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
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*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
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* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i)
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*BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)&
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*plastic_disloUCLA_qPerSlipFamily(f,instance)/&
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(plastic_disloUCLA_SolidSolutionStrength(instance)+plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))*&
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StressRatio_pminus1*(1-StressRatio_p)**(plastic_disloUCLA_qPerSlipFamily(f,instance)-1.0_pReal) )& !deltaf(f)
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) &
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) &
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/ ( &
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( &
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2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_pos(j) &
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+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
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*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
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)**2.0_pReal &
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)
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dgdot_dtauslip_pos(j) = DotGamma0 * dvel_slip
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endif significantPostitiveStress
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significantNegativeStress: if((abs(tau_slip_neg(j))-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
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!* Stress ratio
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stressRatio = ((abs(tau_slip_neg(j))-state(instance)%threshold_stress_slip(j,of))/&
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(plastic_disloUCLA_SolidSolutionStrength(instance)+&
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plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance)))
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stressRatio_p = stressRatio** plastic_disloUCLA_pPerSlipFamily(f,instance)
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stressRatio_pminus1 = stressRatio**(plastic_disloUCLA_pPerSlipFamily(f,instance)-1.0_pReal)
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!* Shear rates due to slip
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vel_slip = 2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
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* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
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* ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
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* (tau_slip_neg(j) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
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/ ( &
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2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg(j) &
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+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
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*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
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)
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gdot_slip_neg(j) = DotGamma0 &
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* vel_slip &
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* sign(1.0_pReal,tau_slip_neg(j))
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!* Derivatives of shear rates
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dvel_slip = &
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2.0_pReal*plastic_disloUCLA_burgersPerSlipFamily(f,instance) &
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* plastic_disloUCLA_kinkheight(f,instance) * plastic_disloUCLA_omega(f,instance) &
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* ( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) ) &
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* ( &
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(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
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+ tau_slip_neg(j) &
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* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i)
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*BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)&
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*plastic_disloUCLA_qPerSlipFamily(f,instance)/&
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(plastic_disloUCLA_SolidSolutionStrength(instance)+plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))*&
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StressRatio_pminus1*(1-StressRatio_p)**(plastic_disloUCLA_qPerSlipFamily(f,instance)-1.0_pReal) ) &!deltaf(f)
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) &
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* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg(j) &
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+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
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*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
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) &
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- (tau_slip_neg(j) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) ) &
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* (2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal) &
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+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
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*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
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* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)))& !deltaf(i)
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*BoltzmannRatio*plastic_disloUCLA_pPerSlipFamily(f,instance)&
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*plastic_disloUCLA_qPerSlipFamily(f,instance)/&
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(plastic_disloUCLA_SolidSolutionStrength(instance)+plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance))*&
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StressRatio_pminus1*(1-StressRatio_p)**(plastic_disloUCLA_qPerSlipFamily(f,instance)-1.0_pReal) )& !deltaf(f)
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) &
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) &
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/ ( &
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( &
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2.0_pReal*(plastic_disloUCLA_burgersPerSlipFamily(f,instance)**2.0_pReal)*tau_slip_neg(j) &
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+ plastic_disloUCLA_omega(f,instance) * plastic_disloUCLA_friction(f,instance) &
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*(( state(instance)%mfp_slip(j,of) - plastic_disloUCLA_kinkwidth(f,instance) )**2.0_pReal) &
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** plastic_disloUCLA_qPerSlipFamily(f,instance)) &
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)**2.0_pReal &
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)
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dgdot_dtauslip_neg(j) = DotGamma0 * dvel_slip
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endif significantNegativeStress
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!* Plastic velocity gradient for dislocation glide
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Lp = Lp + (gdot_slip_pos(j)+gdot_slip_neg(j))*0.5_pReal*lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph)
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!* Calculation of the tangent of Lp
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