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@ -1730,17 +1730,18 @@ do s = 1_pInt,ns
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tau(s,1:4) = math_mul6x6(Tstar_v, lattice_Sslip_v(:,1,constitutive_nonlocal_slipSystemLattice(s,myInstance),myStructure)) &
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+ tauBack(s)
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!*** adding non schmid contributions to ONLY screw components if present (i.e. if NnonSchmid(myStructure) > 0)
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nonSchmid_tensor(1:3,1:3,1) = math_Mandel6to33(lattice_Sslip_v(:,1,constitutive_nonlocal_slipSystemLattice(s,myInstance),myStructure))
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nonSchmid_tensor(1:3,1:3,1) = &
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math_Mandel6to33(lattice_Sslip_v(:,1,constitutive_nonlocal_slipSystemLattice(s,myInstance),myStructure))
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nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,1)
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do k = 1_pInt, NnonSchmid(myStructure)
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tau(s,3) = tau(s,3) + constitutive_nonlocal_nonSchmidCoeff(k,myInstance)* &
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math_mul6x6(Tstar_v, lattice_Sslip_v(:,2*k,constitutive_nonlocal_slipSystemLattice(s,myInstance),myStructure))
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math_mul6x6(Tstar_v, lattice_Sslip_v(:,2*k,constitutive_nonlocal_slipSystemLattice(s,myInstance),myStructure))
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tau(s,4) = tau(s,4) + constitutive_nonlocal_nonSchmidCoeff(k,myInstance)* &
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math_mul6x6(Tstar_v, lattice_Sslip_v(:,2*k+1,constitutive_nonlocal_slipSystemLattice(s,myInstance),myStructure))
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math_mul6x6(Tstar_v, lattice_Sslip_v(:,2*k+1,constitutive_nonlocal_slipSystemLattice(s,myInstance),myStructure))
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nonSchmid_tensor(1:3,1:3,1) = nonSchmid_tensor(1:3,1:3,1) + constitutive_nonlocal_nonSchmidCoeff(k,myInstance)*&
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math_Mandel6to33(lattice_Sslip_v(:,2*k,constitutive_nonlocal_slipSystemLattice(s,myInstance),myStructure))
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math_Mandel6to33(lattice_Sslip_v(:,2*k,constitutive_nonlocal_slipSystemLattice(s,myInstance),myStructure))
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nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,2) + constitutive_nonlocal_nonSchmidCoeff(k,myInstance)*&
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math_Mandel6to33(lattice_Sslip_v(:,2*k+1,constitutive_nonlocal_slipSystemLattice(s,myInstance),myStructure))
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math_Mandel6to33(lattice_Sslip_v(:,2*k+1,constitutive_nonlocal_slipSystemLattice(s,myInstance),myStructure))
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enddo
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enddo
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@ -2052,91 +2053,91 @@ use lattice, only: lattice_Sslip_v, &
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implicit none
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!*** input variables
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integer(pInt), intent(in) :: g, & ! current grain number
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ip, & ! current integration point
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el ! current element number
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real(pReal), intent(in) :: Temperature, & ! temperature
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timestep ! substepped crystallite time increment
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real(pReal), dimension(6), intent(in) :: Tstar_v ! current 2nd Piola-Kirchhoff stress in Mandel notation
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integer(pInt), intent(in) :: g, & !< current grain number
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ip, & !< current integration point
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el !< current element number
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real(pReal), intent(in) :: Temperature, & !< temperature
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timestep !< substepped crystallite time increment
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real(pReal), dimension(6), intent(in) :: Tstar_v !< current 2nd Piola-Kirchhoff stress in Mandel notation
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real(pReal), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
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subfrac ! fraction of timestep at the beginning of the substepped crystallite time increment
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subfrac !< fraction of timestep at the beginning of the substepped crystallite time increment
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real(pReal), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
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Fe, & ! elastic deformation gradient
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Fp ! plastic deformation gradient
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Fe, & !< elastic deformation gradient
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Fp !< plastic deformation gradient
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
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state, & ! current microstructural state
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state0 ! microstructural state at beginning of crystallite increment
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state, & !< current microstructural state
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state0 !< microstructural state at beginning of crystallite increment
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!*** input/output variables
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!*** output variables
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real(pReal), dimension(constitutive_nonlocal_sizeDotState(phase_plasticityInstance(material_phase(g,ip,el)))) :: &
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constitutive_nonlocal_dotState ! evolution of state variables / microstructure
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constitutive_nonlocal_dotState !< evolution of state variables / microstructure
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!*** local variables
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integer(pInt) myInstance, & ! current instance of this plasticity
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myStructure, & ! current lattice structure
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ns, & ! short notation for the total number of active slip systems
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c, & ! character of dislocation
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n, & ! index of my current neighbor
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neighboring_el, & ! element number of my neighbor
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neighboring_ip, & ! integration point of my neighbor
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neighboring_n, & ! neighbor index pointing to me when looking from my neighbor
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opposite_neighbor, & ! index of my opposite neighbor
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opposite_ip, & ! ip of my opposite neighbor
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opposite_el, & ! element index of my opposite neighbor
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opposite_n, & ! neighbor index pointing to me when looking from my opposite neighbor
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t, & ! type of dislocation
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topp, & ! type of dislocation with opposite sign to t
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s, & ! index of my current slip system
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sLattice, & ! index of my current slip system according to lattice order
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integer(pInt) myInstance, & !< current instance of this plasticity
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myStructure, & !< current lattice structure
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ns, & !< short notation for the total number of active slip systems
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c, & !< character of dislocation
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n, & !< index of my current neighbor
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neighboring_el, & !< element number of my neighbor
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neighboring_ip, & !< integration point of my neighbor
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neighboring_n, & !< neighbor index pointing to me when looking from my neighbor
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opposite_neighbor, & !< index of my opposite neighbor
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opposite_ip, & !< ip of my opposite neighbor
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opposite_el, & !< element index of my opposite neighbor
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opposite_n, & !< neighbor index pointing to me when looking from my opposite neighbor
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t, & !< type of dislocation
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topp, & !< type of dislocation with opposite sign to t
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s, & !< index of my current slip system
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sLattice, & !< index of my current slip system according to lattice order
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deads
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real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_plasticityInstance(material_phase(g,ip,el))),10) :: &
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rhoDot, & ! density evolution
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rhoDotMultiplication, & ! density evolution by multiplication
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rhoDotFlux, & ! density evolution by flux
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rhoDotSingle2DipoleGlide, & ! density evolution by dipole formation (by glide)
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rhoDotAthermalAnnihilation, & ! density evolution by athermal annihilation
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rhoDotThermalAnnihilation ! density evolution by thermal annihilation
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rhoDot, & !< density evolution
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rhoDotMultiplication, & !< density evolution by multiplication
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rhoDotFlux, & !< density evolution by flux
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rhoDotSingle2DipoleGlide, & !< density evolution by dipole formation (by glide)
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rhoDotAthermalAnnihilation, & !< density evolution by athermal annihilation
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rhoDotThermalAnnihilation !< density evolution by thermal annihilation
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real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_plasticityInstance(material_phase(g,ip,el))),8) :: &
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rhoSgl, & ! current single dislocation densities (positive/negative screw and edge without dipoles)
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rhoSgl, & !< current single dislocation densities (positive/negative screw and edge without dipoles)
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rhoSglOriginal, &
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rhoSgl0, & ! single dislocation densities at start of cryst inc (positive/negative screw and edge without dipoles)
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rhoSglMe, & ! single dislocation densities of central ip (positive/negative screw and edge without dipoles)
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neighboring_rhoSgl ! current single dislocation densities of neighboring ip (positive/negative screw and edge without dipoles)
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rhoSgl0, & !< single dislocation densities at start of cryst inc (positive/negative screw and edge without dipoles)
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rhoSglMe, & !< single dislocation densities of central ip (positive/negative screw and edge without dipoles)
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neighboring_rhoSgl !< current single dislocation densities of neighboring ip (positive/negative screw and edge without dipoles)
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real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_plasticityInstance(material_phase(g,ip,el))),4) :: &
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v, & ! current dislocation glide velocity
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v0, & ! dislocation glide velocity at start of cryst inc
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vMe, & ! dislocation glide velocity of central ip
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neighboring_v, & ! dislocation glide velocity of enighboring ip
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gdot ! shear rates
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v, & !< current dislocation glide velocity
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v0, & !< dislocation glide velocity at start of cryst inc
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vMe, & !< dislocation glide velocity of central ip
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neighboring_v, & !< dislocation glide velocity of enighboring ip
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gdot !< shear rates
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real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_plasticityInstance(material_phase(g,ip,el)))) :: &
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rhoForest, & ! forest dislocation density
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tauThreshold, & ! threshold shear stress
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tau, & ! current resolved shear stress
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tauBack, & ! current back stress from pileups on same slip system
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vClimb, & ! climb velocity of edge dipoles
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rhoForest, & !< forest dislocation density
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tauThreshold, & !< threshold shear stress
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tau, & !< current resolved shear stress
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tauBack, & !< current back stress from pileups on same slip system
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vClimb, & !< climb velocity of edge dipoles
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nSources
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real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_plasticityInstance(material_phase(g,ip,el))),2) :: &
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rhoDip, & ! current dipole dislocation densities (screw and edge dipoles)
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rhoDip, & !< current dipole dislocation densities (screw and edge dipoles)
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rhoDipOriginal, &
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dLower, & ! minimum stable dipole distance for edges and screws
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dUpper ! current maximum stable dipole distance for edges and screws
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dLower, & !< minimum stable dipole distance for edges and screws
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dUpper !< current maximum stable dipole distance for edges and screws
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real(pReal), dimension(3,constitutive_nonlocal_totalNslip(phase_plasticityInstance(material_phase(g,ip,el))),4) :: &
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m ! direction of dislocation motion
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real(pReal), dimension(3,3) :: my_F, & ! my total deformation gradient
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neighboring_F, & ! total deformation gradient of my neighbor
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my_Fe, & ! my elastic deformation gradient
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neighboring_Fe, & ! elastic deformation gradient of my neighbor
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Favg ! average total deformation gradient of me and my neighbor
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real(pReal), dimension(3) :: normal_neighbor2me, & ! interface normal pointing from my neighbor to me in neighbor's lattice configuration
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normal_neighbor2me_defConf, & ! interface normal pointing from my neighbor to me in shared deformed configuration
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normal_me2neighbor, & ! interface normal pointing from me to my neighbor in my lattice configuration
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normal_me2neighbor_defConf ! interface normal pointing from me to my neighbor in shared deformed configuration
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real(pReal) area, & ! area of the current interface
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transmissivity, & ! overall transmissivity of dislocation flux to neighboring material point
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lineLength, & ! dislocation line length leaving the current interface
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D, & ! self diffusion
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m !< direction of dislocation motion
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real(pReal), dimension(3,3) :: my_F, & !< my total deformation gradient
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neighboring_F, & !< total deformation gradient of my neighbor
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my_Fe, & !< my elastic deformation gradient
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neighboring_Fe, & !< elastic deformation gradient of my neighbor
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Favg !< average total deformation gradient of me and my neighbor
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real(pReal), dimension(3) :: normal_neighbor2me, & !< interface normal pointing from my neighbor to me in neighbor's lattice configuration
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normal_neighbor2me_defConf, & !< interface normal pointing from my neighbor to me in shared deformed configuration
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normal_me2neighbor, & !< interface normal pointing from me to my neighbor in my lattice configuration
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normal_me2neighbor_defConf !< interface normal pointing from me to my neighbor in shared deformed configuration
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real(pReal) area, & !< area of the current interface
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transmissivity, & !< overall transmissivity of dislocation flux to neighboring material point
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lineLength, & !< dislocation line length leaving the current interface
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D, & !< self diffusion
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rnd, &
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meshlength
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logical considerEnteringFlux, &
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