introduced non schmid tensor calculation in dot state, also not active yet
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@ -1206,7 +1206,8 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
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dLp_dTstar3333 = 0.0_pReal
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dLp_dTstar = 0.0_pReal
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!* Dislocation glide part
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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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@ -1297,8 +1298,8 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
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enddo slipSystems
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enddo slipFamilies
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!* Mechanical twinning part
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!--------------------------------------------------------------------------------------------------
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! Mechanical twinning part
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gdot_twin = 0.0_pReal
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dgdot_dtautwin = 0.0_pReal
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j = 0_pInt
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@ -1421,7 +1422,7 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
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DotRhoEdgeDipClimb, &
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DotRhoDipFormation
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real(pReal), dimension(constitutive_dislokmc_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
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gdot_slip_pos
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gdot_slip_pos, tau_slip_neg
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real(pReal), dimension(constitutive_dislokmc_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
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tau_twin
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@ -1439,104 +1440,118 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
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!* Dislocation density evolution
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gdot_slip_pos = 0.0_pReal
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j = 0_pInt
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do f = 1_pInt,lattice_maxNslipFamily
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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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do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance) ! process each (active) slip system in family
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j = j+1_pInt
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!* Resolved shear stress on slip system
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tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
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slipSystems: do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance)
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j = j+1_pInt
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if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
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!* Stress ratios
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StressRatio_p = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
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(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
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**constitutive_dislokmc_pPerSlipFamily(f,instance)
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StressRatio_pminus1 = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
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(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
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**(constitutive_dislokmc_pPerSlipFamily(f,instance)-1.0_pReal)
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tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,ph))
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tau_slip_neg = tau_slip_pos
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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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StressRatio_u = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
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(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
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**constitutive_dislokmc_uPerSlipFamily(f,instance)
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StressRatio_uminus1 = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j,of))/&
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(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
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**(constitutive_dislokmc_uPerSlipFamily(f,instance)-1.0_pReal)
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nonSchmidSystems: do k = 1,lattice_NnonSchmid(ph)
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tau_slip_pos = tau_slip_pos + constitutive_dislokmc_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 = tau_slip_neg + constitutive_dislokmc_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) + constitutive_dislokmc_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) + constitutive_dislokmc_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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!* Boltzmann ratio
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BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature)
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!* Initial shear rates
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DotGamma0 = &
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!* Boltzmann ratio
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BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature)
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!* Initial shear rates
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DotGamma0 = &
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plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*&
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constitutive_dislokmc_v0PerSlipSystem(j,instance)
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significantPostitiveSlip: if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
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!* Stress ratios
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StressRatio_p = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
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(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
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**constitutive_dislokmc_pPerSlipFamily(f,instance)
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StressRatio_pminus1 = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
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(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
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**(constitutive_dislokmc_pPerSlipFamily(f,instance)-1.0_pReal)
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StressRatio_u = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
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(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
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**constitutive_dislokmc_uPerSlipFamily(f,instance)
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StressRatio_uminus1 = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j,of))/&
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(constitutive_dislokmc_SolidSolutionStrength(instance)+constitutive_dislokmc_tau_peierlsPerSlipFamily(f,instance)))&
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**(constitutive_dislokmc_uPerSlipFamily(f,instance)-1.0_pReal)
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!* Shear rates due to slip
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gdot_slip_pos(j) = DotGamma0*exp(-BoltzmannRatio*(1.0_pReal-StressRatio_p)** &
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gdot_slip_pos(j) = DotGamma0*exp(-BoltzmannRatio*(1.0_pReal-StressRatio_p)** &
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constitutive_dislokmc_qPerSlipFamily(f,instance))*sign(1.0_pReal,tau_slip_pos) &
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* (1.0_pReal-constitutive_dislokmc_sPerSlipFamily(f,instance) &
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* exp(-BoltzmannRatio*(1.0_pReal-StressRatio_p) ** constitutive_dislokmc_qPerSlipFamily(f,instance))) &
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* StressRatio_u
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endif
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endif significantPostitiveSlip
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!* Multiplication
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DotRhoMultiplication = abs(gdot_slip_pos(j))/&
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(constitutive_dislokmc_burgersPerSlipSystem(j,instance)* &
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!* Multiplication
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DotRhoMultiplication = abs(gdot_slip_pos(j))/&
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(constitutive_dislokmc_burgersPerSlipSystem(j,instance)* &
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plasticState(ph)%state(5*ns+3*nt+j, of))
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!* Dipole formation
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EdgeDipMinDistance = &
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constitutive_dislokmc_CEdgeDipMinDistance(instance)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)
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if (tau_slip_pos == 0.0_pReal) then
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DotRhoDipFormation = 0.0_pReal
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else
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EdgeDipDistance = &
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(3.0_pReal*lattice_mu(ph)*constitutive_dislokmc_burgersPerSlipSystem(j,instance))/&
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(16.0_pReal*pi*abs(tau_slip_pos))
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if (EdgeDipDistance>plasticState(ph)%state(5*ns+3*nt+j, of)) EdgeDipDistance=plasticState(ph)%state(5*ns+3*nt+j, of)
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if (EdgeDipDistance<EdgeDipMinDistance) EdgeDipDistance=EdgeDipMinDistance
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DotRhoDipFormation = &
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((2.0_pReal*EdgeDipDistance)/constitutive_dislokmc_burgersPerSlipSystem(j,instance))*&
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plasticState(ph)%state(j, of)*abs(gdot_slip_pos(j))*constitutive_dislokmc_dipoleFormationFactor(instance)
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endif
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!* Dipole formation
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EdgeDipMinDistance = &
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constitutive_dislokmc_CEdgeDipMinDistance(instance)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)
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if (tau_slip_pos == 0.0_pReal) then
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DotRhoDipFormation = 0.0_pReal
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else
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EdgeDipDistance = &
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(3.0_pReal*lattice_mu(ph)*constitutive_dislokmc_burgersPerSlipSystem(j,instance))/&
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(16.0_pReal*pi*abs(tau_slip_pos))
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if (EdgeDipDistance>plasticState(ph)%state(5*ns+3*nt+j, of)) EdgeDipDistance=plasticState(ph)%state(5*ns+3*nt+j, of)
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if (EdgeDipDistance<EdgeDipMinDistance) EdgeDipDistance=EdgeDipMinDistance
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DotRhoDipFormation = &
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((2.0_pReal*EdgeDipDistance)/constitutive_dislokmc_burgersPerSlipSystem(j,instance))*&
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plasticState(ph)%state(j, of)*abs(gdot_slip_pos(j))*constitutive_dislokmc_dipoleFormationFactor(instance)
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endif
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!* Spontaneous annihilation of 2 single edge dislocations
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DotRhoEdgeEdgeAnnihilation = &
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!* Spontaneous annihilation of 2 single edge dislocations
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DotRhoEdgeEdgeAnnihilation = &
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((2.0_pReal*EdgeDipMinDistance)/constitutive_dislokmc_burgersPerSlipSystem(j,instance))*&
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plasticState(ph)%state(j, of)*abs(gdot_slip_pos(j))
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!* Spontaneous annihilation of a single edge dislocation with a dipole constituent
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DotRhoEdgeDipAnnihilation = &
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!* Spontaneous annihilation of a single edge dislocation with a dipole constituent
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DotRhoEdgeDipAnnihilation = &
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((2.0_pReal*EdgeDipMinDistance)/constitutive_dislokmc_burgersPerSlipSystem(j,instance))*&
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plasticState(ph)%state(ns+j, of)*abs(gdot_slip_pos(j))
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!* Dislocation dipole climb
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AtomicVolume = &
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AtomicVolume = &
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constitutive_dislokmc_CAtomicVolume(instance)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)**(3.0_pReal)
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VacancyDiffusion = &
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VacancyDiffusion = &
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constitutive_dislokmc_D0(instance)*exp(-constitutive_dislokmc_Qsd(instance)/(kB*Temperature))
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if (tau_slip_pos == 0.0_pReal) then
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DotRhoEdgeDipClimb = 0.0_pReal
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else
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ClimbVelocity = &
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if (tau_slip_pos == 0.0_pReal) then
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DotRhoEdgeDipClimb = 0.0_pReal
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else
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ClimbVelocity = &
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((3.0_pReal*lattice_mu(ph)*VacancyDiffusion*AtomicVolume)/(2.0_pReal*pi*kB*Temperature))*&
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(1/(EdgeDipDistance+EdgeDipMinDistance))
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DotRhoEdgeDipClimb = &
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DotRhoEdgeDipClimb = &
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(4.0_pReal*ClimbVelocity*plasticState(ph)%state(ns+j, of))/(EdgeDipDistance-EdgeDipMinDistance)
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endif
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endif
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!* Edge dislocation density rate of change
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plasticState(ph)%dotState(j, of) = &
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!* Edge dislocation density rate of change
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plasticState(ph)%dotState(j, of) = &
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DotRhoMultiplication-DotRhoDipFormation-DotRhoEdgeEdgeAnnihilation
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!* Edge dislocation dipole density rate of change
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plasticState(ph)%dotState(ns+j, of) = &
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!* Edge dislocation dipole density rate of change
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plasticState(ph)%dotState(ns+j, of) = &
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DotRhoDipFormation-DotRhoEdgeDipAnnihilation-DotRhoEdgeDipClimb
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!* Dotstate for accumulated shear due to slip
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plasticState(ph)%dotState(2_pInt*ns+j, of) = gdot_slip_pos(j)
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!* Dotstate for accumulated shear due to slip
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plasticState(ph)%dotState(2_pInt*ns+j, of) = gdot_slip_pos(j)
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enddo
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enddo
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enddo slipSystems
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enddo slipFamilies
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!* Twin volume fraction evolution
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j = 0_pInt
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