fluxes are disabled when keyword "/nonlocal/" is omitted in the material.config (this is a way to use the constitutive_nonlocal model as a local dislocation based model)
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@ -1469,101 +1469,105 @@ where (rhoSgl(:,1:2) > 0.0_pReal) &
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!****************************************************************************
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!*** calculate dislocation fluxes
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!*** calculate dislocation fluxes (only for nonlocal constitution)
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rhoDotFlux = 0.0_pReal
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periodicSurfaceFlux = (/.false.,.true.,.false./)
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periodicSurfaceFlux = (/.false.,.false.,.false./)
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m(:,:,1) = lattice_sd(:, constitutive_nonlocal_slipSystemLattice(:,myInstance), myStructure)
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m(:,:,2) = -lattice_sd(:, constitutive_nonlocal_slipSystemLattice(:,myInstance), myStructure)
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m(:,:,3) = lattice_st(:, constitutive_nonlocal_slipSystemLattice(:,myInstance), myStructure)
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m(:,:,4) = -lattice_st(:, constitutive_nonlocal_slipSystemLattice(:,myInstance), myStructure)
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if (.not. phase_localConstitution(material_phase(g,ip,el))) then ! only for nonlocal constitution
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F = math_mul33x33(Fe(:,:,g,ip,el), Fp(:,:,g,ip,el))
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detFe = math_det3x3(Fe(:,:,g,ip,el))
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fluxdensity = rhoSgl(:,1:4) * constitutive_nonlocal_v(:,:,g,ip,el)
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m(:,:,1) = lattice_sd(:, constitutive_nonlocal_slipSystemLattice(:,myInstance), myStructure)
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m(:,:,2) = -lattice_sd(:, constitutive_nonlocal_slipSystemLattice(:,myInstance), myStructure)
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m(:,:,3) = lattice_st(:, constitutive_nonlocal_slipSystemLattice(:,myInstance), myStructure)
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m(:,:,4) = -lattice_st(:, constitutive_nonlocal_slipSystemLattice(:,myInstance), myStructure)
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!if ((debug_g==g .and. debug_i==ip .and. debug_e==el)) write(6,*) '--> dislocation flux <---'
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do n = 1,FE_NipNeighbors(mesh_element(2,el)) ! loop through my neighbors
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neighboring_el = mesh_ipNeighborhood(1,n,ip,el)
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neighboring_ip = mesh_ipNeighborhood(2,n,ip,el)
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F = math_mul33x33(Fe(:,:,g,ip,el), Fp(:,:,g,ip,el))
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detFe = math_det3x3(Fe(:,:,g,ip,el))
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opposite_n = n + mod(n,2) - mod(n+1,2)
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opposite_el = mesh_ipNeighborhood(1,opposite_n,ip,el)
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opposite_ip = mesh_ipNeighborhood(2,opposite_n,ip,el)
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if ( neighboring_el > 0_pInt .and. neighboring_ip > 0_pInt ) then ! if neighbor exists, average deformation gradient
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neighboring_F = math_mul33x33(Fe(:,:,g,neighboring_ip,neighboring_el), Fp(:,:,g,neighboring_ip,neighboring_el))
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Favg = 0.5_pReal * (F + neighboring_F)
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else ! if no neighbor, take my value as average
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Favg = F
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endif
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surfaceNormal_currentconf = math_det3x3(Favg) * math_mul33x3(math_inv3x3(transpose(Favg)), mesh_ipAreaNormal(:,n,ip,el)) ! calculate the normal of the interface in current ...
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surfaceNormal = math_mul33x3(transpose(Fe(:,:,g,ip,el)), surfaceNormal_currentconf) / detFe ! ... and lattice configuration
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area = mesh_ipArea(n,ip,el) * math_norm3(surfaceNormal)
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surfaceNormal = surfaceNormal / math_norm3(surfaceNormal) ! normalize the surface normal to unit length
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fluxdensity = rhoSgl(:,1:4) * constitutive_nonlocal_v(:,:,g,ip,el)
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neighboring_rhoDotFlux = 0.0_pReal
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! if ((debug_g==g .and. debug_i==ip .and. debug_e==el)) write(6,'(a,x,i2)') 'neighbor',n
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do s = 1,ns
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! if ((debug_g==g .and. debug_i==ip .and. debug_e==el)) write(6,'(a,x,i2)') ' system',s
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do t = 1,4
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! if ((debug_g==g .and. debug_i==ip .and. debug_e==el)) write(6,'(a,x,i2)') ' type',t
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c = (t + 1) / 2
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topp = t + mod(t,2) - mod(t+1,2)
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!if ((debug_g==g .and. debug_i==ip .and. debug_e==el)) write(6,*) '--> dislocation flux <---'
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do n = 1,FE_NipNeighbors(mesh_element(2,el)) ! loop through my neighbors
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neighboring_el = mesh_ipNeighborhood(1,n,ip,el)
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neighboring_ip = mesh_ipNeighborhood(2,n,ip,el)
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opposite_n = n + mod(n,2) - mod(n+1,2)
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opposite_el = mesh_ipNeighborhood(1,opposite_n,ip,el)
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opposite_ip = mesh_ipNeighborhood(2,opposite_n,ip,el)
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if ( neighboring_el > 0_pInt .and. neighboring_ip > 0_pInt ) then ! if neighbor exists, average deformation gradient
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neighboring_F = math_mul33x33(Fe(:,:,g,neighboring_ip,neighboring_el), Fp(:,:,g,neighboring_ip,neighboring_el))
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Favg = 0.5_pReal * (F + neighboring_F)
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else ! if no neighbor, take my value as average
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Favg = F
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endif
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surfaceNormal_currentconf = math_det3x3(Favg) * math_mul33x3(math_inv3x3(transpose(Favg)), mesh_ipAreaNormal(:,n,ip,el)) ! calculate the normal of the interface in current ...
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surfaceNormal = math_mul33x3(transpose(Fe(:,:,g,ip,el)), surfaceNormal_currentconf) / detFe ! ... and lattice configuration
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area = mesh_ipArea(n,ip,el) * math_norm3(surfaceNormal)
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surfaceNormal = surfaceNormal / math_norm3(surfaceNormal) ! normalize the surface normal to unit length
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if ( abs(math_mul3x3(m(:,s,t),surfaceNormal)) > 0.01_pReal &
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.and. fluxdensity(s,t) * math_mul3x3(m(:,s,t),surfaceNormal) > 0.0_pReal ) then ! outgoing flux
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lineLength = fluxdensity(s,t) * math_mul3x3(m(:,s,t),surfaceNormal) * area ! line length that wants to leave thrugh this interface
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if ( (opposite_el > 0 .and. opposite_ip > 0) &
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.or. .not. all(periodicSurfaceFlux(maxloc(abs(mesh_ipAreaNormal(:,opposite_n,ip,el))))) ) then
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rhoDotFlux(s,t) = rhoDotFlux(s,t) - lineLength / mesh_ipVolume(ip,el) ! subtract dislocation flux from cuurent mobile type
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! if ((debug_g==g .and. debug_i==ip .and. debug_e==el)) write(6,'(a,x,e12.5)') ' outgoing flux:', lineLength / mesh_ipVolume(ip,el)
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endif
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rhoDotFlux(s,t+4) = rhoDotFlux(s,t+4) + lineLength / mesh_ipVolume(ip,el) &
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* (1.0_pReal - sum(constitutive_nonlocal_compatibility(c,:,s,n,ip,el)**2.0_pReal)) &
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* sign(1.0_pReal, fluxdensity(s,t)) ! dislocation flux that is not able to leave through interface (because of low transmissivity) will remain as immobile single density at the material point
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if (neighboring_el > 0 .and. neighboring_ip > 0) then ! neighbor present
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where (constitutive_nonlocal_compatibility(c,:,s,n,ip,el) > 0.0_pReal) & ! ..positive compatibility
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neighboring_rhoDotFlux(:,t) = neighboring_rhoDotFlux(:,t) & ! ....transferring to equally signed dislocation type at neighbor
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+ lineLength / mesh_ipVolume(neighboring_ip,neighboring_el) &
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* constitutive_nonlocal_compatibility(c,:,s,n,ip,el) ** 2.0_pReal
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where (constitutive_nonlocal_compatibility(c,:,s,n,ip,el) < 0.0_pReal) & ! ..negative compatibility
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neighboring_rhoDotFlux(:,topp) = neighboring_rhoDotFlux(:,topp) & ! ....transferring to opposite signed dislocation type at neighbor
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+ lineLength / mesh_ipVolume(neighboring_ip,neighboring_el) &
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* constitutive_nonlocal_compatibility(c,:,s,n,ip,el) ** 2.0_pReal
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! if ((debug_g==g .and. debug_i==ip .and. debug_e==el)) write(6,'(a,x,e12.5)') ' entering flux at neighbor:', lineLength / mesh_ipVolume(ip,el) &
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! * sum(constitutive_nonlocal_compatibility(c,:,s,n,ip,el) ** 2.0_pReal)
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endif
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endif
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enddo ! dislocation type loop
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enddo ! slip system loop
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if (any(abs(neighboring_rhoDotFlux) > 10.0_pReal)) then ! only significant density change in neighbr is considered
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!$OMP CRITICAL (fluxes)
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constitutive_nonlocal_rhoDotFlux(:,:,g,neighboring_ip,neighboring_el) = &
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constitutive_nonlocal_rhoDotFlux(:,:,g,neighboring_ip,neighboring_el) + neighboring_rhoDotFlux
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dotState(g,neighboring_ip,neighboring_el)%p(1:10*ns) = &
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dotState(g,neighboring_ip,neighboring_el)%p(1:10*ns) + reshape(neighboring_rhoDotFlux,(/10*ns/))
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!$OMP END CRITICAL (fluxes)
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else
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neighboring_rhoDotFlux = 0.0_pReal
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! if ((debug_g==g .and. debug_i==ip .and. debug_e==el)) write(6,'(a,x,i2)') 'neighbor',n
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do s = 1,ns
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! if ((debug_g==g .and. debug_i==ip .and. debug_e==el)) write(6,'(a,x,i2)') ' system',s
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do t = 1,4
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! if ((debug_g==g .and. debug_i==ip .and. debug_e==el)) write(6,'(a,x,i2)') ' type',t
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c = (t + 1) / 2
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topp = t + mod(t,2) - mod(t+1,2)
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if ( abs(math_mul3x3(m(:,s,t),surfaceNormal)) > 0.01_pReal &
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.and. fluxdensity(s,t) * math_mul3x3(m(:,s,t),surfaceNormal) > 0.0_pReal ) then ! outgoing flux
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lineLength = fluxdensity(s,t) * math_mul3x3(m(:,s,t),surfaceNormal) * area ! line length that wants to leave thrugh this interface
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if ( (opposite_el > 0 .and. opposite_ip > 0) &
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.or. .not. all(periodicSurfaceFlux(maxloc(abs(mesh_ipAreaNormal(:,opposite_n,ip,el))))) ) then
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rhoDotFlux(s,t) = rhoDotFlux(s,t) - lineLength / mesh_ipVolume(ip,el) ! subtract dislocation flux from cuurent mobile type
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! if ((debug_g==g .and. debug_i==ip .and. debug_e==el)) write(6,'(a,x,e12.5)') ' outgoing flux:', lineLength / mesh_ipVolume(ip,el)
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endif
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rhoDotFlux(s,t+4) = rhoDotFlux(s,t+4) + lineLength / mesh_ipVolume(ip,el) &
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* (1.0_pReal - sum(constitutive_nonlocal_compatibility(c,:,s,n,ip,el)**2.0_pReal)) &
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* sign(1.0_pReal, fluxdensity(s,t)) ! dislocation flux that is not able to leave through interface (because of low transmissivity) will remain as immobile single density at the material point
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if (neighboring_el > 0 .and. neighboring_ip > 0) then ! neighbor present
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where (constitutive_nonlocal_compatibility(c,:,s,n,ip,el) > 0.0_pReal) & ! ..positive compatibility
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neighboring_rhoDotFlux(:,t) = neighboring_rhoDotFlux(:,t) & ! ....transferring to equally signed dislocation type at neighbor
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+ lineLength / mesh_ipVolume(neighboring_ip,neighboring_el) &
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* constitutive_nonlocal_compatibility(c,:,s,n,ip,el) ** 2.0_pReal
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where (constitutive_nonlocal_compatibility(c,:,s,n,ip,el) < 0.0_pReal) & ! ..negative compatibility
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neighboring_rhoDotFlux(:,topp) = neighboring_rhoDotFlux(:,topp) & ! ....transferring to opposite signed dislocation type at neighbor
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+ lineLength / mesh_ipVolume(neighboring_ip,neighboring_el) &
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* constitutive_nonlocal_compatibility(c,:,s,n,ip,el) ** 2.0_pReal
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! if ((debug_g==g .and. debug_i==ip .and. debug_e==el)) write(6,'(a,x,e12.5)') ' entering flux at neighbor:', lineLength / mesh_ipVolume(ip,el) &
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! * sum(constitutive_nonlocal_compatibility(c,:,s,n,ip,el) ** 2.0_pReal)
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endif
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endif
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enddo ! dislocation type loop
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enddo ! slip system loop
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if (any(abs(neighboring_rhoDotFlux) > 10.0_pReal)) then ! only significant density change in neighbr is considered
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!$OMP CRITICAL (fluxes)
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constitutive_nonlocal_rhoDotFlux(:,:,g,neighboring_ip,neighboring_el) = &
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constitutive_nonlocal_rhoDotFlux(:,:,g,neighboring_ip,neighboring_el) + neighboring_rhoDotFlux
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dotState(g,neighboring_ip,neighboring_el)%p(1:10*ns) = &
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dotState(g,neighboring_ip,neighboring_el)%p(1:10*ns) + reshape(neighboring_rhoDotFlux,(/10*ns/))
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!$OMP END CRITICAL (fluxes)
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else
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neighboring_rhoDotFlux = 0.0_pReal
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endif
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enddo ! neighbor loop
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if (any(abs(rhoDotFlux) > 0.0_pReal)) then
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!$OMP CRITICAL (fluxes)
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constitutive_nonlocal_rhoDotFlux(:,:,g,ip,el) = constitutive_nonlocal_rhoDotFlux(:,:,g,ip,el) + rhoDotFlux
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!$OMP END CRITICAL (fluxes)
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endif
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enddo ! neighbor loop
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if (any(abs(rhoDotFlux) > 0.0_pReal)) then
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!$OMP CRITICAL (fluxes)
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constitutive_nonlocal_rhoDotFlux(:,:,g,ip,el) = constitutive_nonlocal_rhoDotFlux(:,:,g,ip,el) + rhoDotFlux
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!$OMP END CRITICAL (fluxes)
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endif
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