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constitutive_nonlocal: 

dislocation velocities are stored in the state, so we actually now have three "parts" of the state, the basic states that are updated by "constitutive_dotState" come first, then the dependent states that are calculated by "constitutive_microstructure" follow, and finally we have a last part reserved for other variables that just use the memory reserved by the state array and are updated somewhere else.

constitutive:

LpAndItsTangent does not need the full state, but only the local state, so changed that at least for the nonlocal constitutive law
This commit is contained in:
Christoph Kords 2011-11-04 13:12:17 +00:00
parent 9d1bc584d0
commit 7dfb96a3da
2 changed files with 75 additions and 74 deletions
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2
code/constitutive.f90
View File

@ -564,7 +564,7 @@ select case (phase_constitution(material_phase(ipc,ip,el)))
call constitutive_dislotwin_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,constitutive_state,ipc,ip,el)
case (constitutive_nonlocal_label)
call constitutive_nonlocal_LpAndItsTangent(Lp, dLp_dTstar, Tstar_v, Temperature, constitutive_state, ipc, ip, el)
call constitutive_nonlocal_LpAndItsTangent(Lp, dLp_dTstar, Tstar_v, Temperature, constitutive_state(ipc,ip,el), ipc, ip, el)
end select

135
code/constitutive_nonlocal.f90
View File

@ -49,11 +49,14 @@ character(len=22), dimension(10), parameter :: constitutive_nonlocal_listBasi
character(len=15), dimension(3), parameter :: constitutive_nonlocal_listDependentStates = (/'rhoForest ', &
'tauThreshold ', &
'Tdislocation_v ' /) ! list of microstructural state variables that depend on other state variables
character(len=15), dimension(2), parameter :: constitutive_nonlocal_listOtherStates = (/'velocityEdge ', &
'velocityScrew ' /) ! list of other dependent state variables that are not updated by microstructure
real(pReal), parameter :: kB = 1.38e-23_pReal ! Physical parameter, Boltzmann constant in J/Kelvin
!* Definition of global variables
integer(pInt), dimension(:), allocatable :: constitutive_nonlocal_sizeDotState, & ! number of dotStates
constitutive_nonlocal_sizeState, & ! total number of microstructural state variables
integer(pInt), dimension(:), allocatable :: constitutive_nonlocal_sizeDotState, & ! number of dotStates = number of basic state variables
constitutive_nonlocal_sizeDependentState, & ! number of dependent state variables
constitutive_nonlocal_sizeState, & ! total number of state variables
constitutive_nonlocal_sizePostResults ! cumulative size of post results
integer(pInt), dimension(:,:), allocatable, target :: constitutive_nonlocal_sizePostResult ! size of each post result output
character(len=64), dimension(:,:), allocatable, target :: constitutive_nonlocal_output ! name of each post result output
@ -102,8 +105,7 @@ real(pReal), dimension(:,:), allocatable :: constitutive_nonlocal_
constitutive_nonlocal_dLowerScrewPerSlipSystem, & ! minimum stable screw dipole height for each slip system and instance
constitutive_nonlocal_Qeff0, & ! prefactor for activation enthalpy for dislocation glide in J
constitutive_nonlocal_interactionSlipSlip ! coefficients for slip-slip interaction for each interaction type and instance
real(pReal), dimension(:,:,:,:,:), allocatable :: constitutive_nonlocal_v, & ! dislocation velocity
constitutive_nonlocal_rhoDotFlux ! dislocation convection term
real(pReal), dimension(:,:,:,:,:), allocatable :: constitutive_nonlocal_rhoDotFlux ! dislocation convection term
real(pReal), dimension(:,:,:,:,:,:), allocatable :: constitutive_nonlocal_compatibility ! slip system compatibility between me and my neighbors
real(pReal), dimension(:,:,:), allocatable :: constitutive_nonlocal_forestProjectionEdge, & ! matrix of forest projections of edge dislocations for each instance
constitutive_nonlocal_forestProjectionScrew, & ! matrix of forest projections of screw dislocations for each instance
@ -213,11 +215,13 @@ endif
!*** space allocation for global variables
allocate(constitutive_nonlocal_sizeDotState(maxNinstance))
allocate(constitutive_nonlocal_sizeDependentState(maxNinstance))
allocate(constitutive_nonlocal_sizeState(maxNinstance))
allocate(constitutive_nonlocal_sizePostResults(maxNinstance))
allocate(constitutive_nonlocal_sizePostResult(maxval(phase_Noutput), maxNinstance))
allocate(constitutive_nonlocal_output(maxval(phase_Noutput), maxNinstance))
constitutive_nonlocal_sizeDotState = 0_pInt
constitutive_nonlocal_sizeDependentState = 0_pInt
constitutive_nonlocal_sizeState = 0_pInt
constitutive_nonlocal_sizePostResults = 0_pInt
constitutive_nonlocal_sizePostResult = 0_pInt
@ -485,9 +489,6 @@ constitutive_nonlocal_interactionMatrixSlipSlip = 0.0_pReal
allocate(constitutive_nonlocal_lattice2slip(1:3, 1:3, maxTotalNslip, maxNinstance))
constitutive_nonlocal_lattice2slip = 0.0_pReal
allocate(constitutive_nonlocal_v(maxTotalNslip, 4, homogenization_maxNgrains, mesh_maxNips, mesh_NcpElems))
constitutive_nonlocal_v = 0.0_pReal
allocate(constitutive_nonlocal_rhoDotFlux(maxTotalNslip, 10, homogenization_maxNgrains, mesh_maxNips, mesh_NcpElems))
constitutive_nonlocal_rhoDotFlux = 0.0_pReal
@ -513,9 +514,11 @@ do i = 1,maxNinstance
!*** determine size of state array
ns = constitutive_nonlocal_totalNslip(i)
constitutive_nonlocal_sizeState(i) = size(constitutive_nonlocal_listBasicStates) * ns &
+ (size(constitutive_nonlocal_listDependentStates) - 1_pInt) * ns + 6_pInt
constitutive_nonlocal_sizeDotState(i) = size(constitutive_nonlocal_listBasicStates) * ns
constitutive_nonlocal_sizeDependentState(i) = (size(constitutive_nonlocal_listDependentStates) - 1_pInt) * ns + 6_pInt
constitutive_nonlocal_sizeState(i) = constitutive_nonlocal_sizeDotState(i) &
+ constitutive_nonlocal_sizeDependentState(i) &
+ size(constitutive_nonlocal_listOtherStates) * ns
!*** determine size of postResults array
@ -1242,7 +1245,7 @@ endsubroutine
!*********************************************************************
!* calculates kinetics *
!*********************************************************************
subroutine constitutive_nonlocal_kinetics(Tstar_v, Temperature, state, g, ip, el, dv_dtau)
subroutine constitutive_nonlocal_kinetics(v, Tstar_v, Temperature, state, g, ip, el, dv_dtau)
use prec, only: pReal, &
pInt, &
@ -1269,10 +1272,14 @@ integer(pInt), intent(in) :: g, & ! curren
ip, & ! current integration point
el ! current element number
real(pReal), intent(in) :: Temperature ! temperature
type(p_vec), intent(in) :: state ! microstructural state
real(pReal), dimension(6), intent(in) :: Tstar_v ! 2nd Piola-Kirchhoff stress in Mandel notation
!*** input/output variables
type(p_vec), intent(inout) :: state ! microstructural state
!*** output variables
real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el))),4), &
intent(out) :: v ! velocity
real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el))),4), &
intent(out), optional :: dv_dtau ! velocity derivative with respect to resolved shear stress
@ -1288,7 +1295,6 @@ real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstan
tau, & ! resolved shear stress
rhoForest ! forest dislocation density
real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el))),4) :: &
v, & ! velocity for the current element and ip
rhoSgl
real(pReal) boltzmannProbability, &
tauRel, & ! relative thermally active resolved shear stress
@ -1352,8 +1358,8 @@ if (Temperature > 0.0_pReal) then
enddo
endif
constitutive_nonlocal_v(1:ns,1:4,g,ip,el) = v
!$OMP FLUSH(constitutive_nonlocal_v)
state%p(12*ns+6+1:13*ns+6) = v(1:ns,1)
state%p(13*ns+6+1:14*ns+6) = v(1:ns,3)
#ifndef _OPENMP
if (debug_verbosity > 6 .and. ((debug_e == el .and. debug_i == ip .and. debug_g == g) .or. .not. debug_selectiveDebugger)) then
@ -1361,7 +1367,7 @@ constitutive_nonlocal_v(1:ns,1:4,g,ip,el) = v
write(6,'(a,i8,x,i2,x,i1)') '<< CONST >> nonlocal_kinetics at el ip g',el,ip,g
write(6,*)
write(6,'(a,/,12(x),12(f12.5,x))') '<< CONST >> tau / MPa', tau / 1e6_pReal
write(6,'(a,/,4(12(x),12(f12.5,x),/))') '<< CONST >> v / 1e-3m/s', constitutive_nonlocal_v(:,:,g,ip,el)*1e3
write(6,'(a,/,4(12(x),12(f12.5,x),/))') '<< CONST >> v / 1e-3m/s', v * 1e3
endif
#endif
@ -1400,10 +1406,11 @@ integer(pInt), intent(in) :: g, & ! curren
ip, & ! current integration point
el ! current element number
real(pReal), intent(in) :: Temperature ! temperature
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state ! microstructural state
real(pReal), dimension(6), intent(in) :: Tstar_v ! 2nd Piola-Kirchhoff stress in Mandel notation
!*** input/output variables
type(p_vec), intent(inout) :: state ! microstructural state
!*** output variables
real(pReal), dimension(3,3), intent(out) :: Lp ! plastic velocity gradient
real(pReal), dimension(9,9), intent(out) :: dLp_dTstar99 ! derivative of Lp with respect to Tstar (9x9 matrix)
@ -1422,6 +1429,7 @@ integer(pInt) myInstance, & ! curren
real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333 ! derivative of Lp with respect to Tstar (3x3x3x3 matrix)
real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el))),4) :: &
rhoSgl, & ! single dislocation densities (including used)
v, & ! velocity
dv_dtau ! velocity derivative with respect to the shear stress
real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
gdotTotal, & ! shear rate
@ -1440,20 +1448,20 @@ ns = constitutive_nonlocal_totalNslip(myInstance)
!*** update dislocation velocity
call constitutive_nonlocal_kinetics(Tstar_v, Temperature, state(g,ip,el), g, ip, el, dv_dtau)
call constitutive_nonlocal_kinetics(v, Tstar_v, Temperature, state, g, ip, el, dv_dtau)
!*** shortcut to state variables
forall (s = 1:ns, t = 1:4) &
rhoSgl(s,t) = max(state(g,ip,el)%p((t-1)*ns+s), 0.0_pReal)
forall (s = 1:ns, t = 5:8, state(g,ip,el)%p((t-1)*ns+s) * constitutive_nonlocal_v(s,t-4,g,ip,el) < 0.0_pReal) & ! dead dislocations cntribute instantaneously to slip when sign of velocity changes
rhoSgl(s,t-4) = rhoSgl(s,t-4) + abs(state(g,ip,el)%p((t-1)*ns+s))
rhoSgl(s,t) = max(state%p((t-1)*ns+s), 0.0_pReal)
forall (s = 1:ns, t = 5:8, state%p((t-1)*ns+s) * v(s,t-4) < 0.0_pReal) & ! dead dislocations cntribute instantaneously to slip when sign of velocity changes
rhoSgl(s,t-4) = rhoSgl(s,t-4) + abs(state%p((t-1)*ns+s))
!*** Calculation of gdot and its tangent
gdotTotal = sum(rhoSgl * constitutive_nonlocal_v(1:ns,1:4,g,ip,el), 2) * constitutive_nonlocal_burgersPerSlipSystem(1:ns,myInstance)
gdotTotal = sum(rhoSgl * v(1:ns,1:4), 2) * constitutive_nonlocal_burgersPerSlipSystem(1:ns,myInstance)
dgdotTotal_dtau = sum(rhoSgl * dv_dtau, 2) * constitutive_nonlocal_burgersPerSlipSystem(1:ns,myInstance)
@ -1585,6 +1593,7 @@ real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstan
real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el))),8) :: &
rhoSgl ! current single dislocation densities (positive/negative screw and edge without dipoles)
real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el))),4) :: &
v, & ! dislocation glide velocity
fluxdensity, & ! flux density at central material point
neighboring_fluxdensity, & ! flux density at neighboring material point
gdot ! shear rates
@ -1652,6 +1661,10 @@ forall (s = 1:ns, c = 1:2) &
rhoForest = state(g,ip,el)%p(10*ns+1:11*ns)
tauThreshold = state(g,ip,el)%p(11*ns+1:12*ns)
Tdislocation_v = state(g,ip,el)%p(12*ns+1:12*ns+6)
v(1:ns,1) = state(g,ip,el)%p(12*ns+6+1:13*ns+6)
v(1:ns,2) = state(g,ip,el)%p(12*ns+6+1:13*ns+6)
v(1:ns,3) = state(g,ip,el)%p(13*ns+6+1:13*ns+6)
v(1:ns,4) = state(g,ip,el)%p(13*ns+6+1:13*ns+6)
!*** sanity check for timestep
@ -1666,14 +1679,10 @@ endif
!****************************************************************************
!*** Calculate shear rate
call constitutive_nonlocal_kinetics(Tstar_v, Temperature, state(g,ip,el), g, ip, el) ! velocities
forall (t = 1:4) &
gdot(1:ns,t) = rhoSgl(1:ns,t) * constitutive_nonlocal_burgersPerSlipSystem(1:ns,myInstance) &
* constitutive_nonlocal_v(1:ns,t,g,ip,el)
forall (s = 1:ns, t = 1:4, rhoSgl(s,t+4) * constitutive_nonlocal_v(s,t,g,ip,el) < 0.0_pReal) & ! contribution of used rho for changing sign of v
gdot(s,t) = gdot(s,t) + abs(rhoSgl(s,t+4)) * constitutive_nonlocal_burgersPerSlipSystem(s,myInstance) &
* constitutive_nonlocal_v(s,t,g,ip,el)
gdot(1:ns,t) = rhoSgl(1:ns,t) * constitutive_nonlocal_burgersPerSlipSystem(1:ns,myInstance) * v(1:ns,t)
forall (s = 1:ns, t = 1:4, rhoSgl(s,t+4) * v(s,t) < 0.0_pReal) & ! contribution of used rho for changing sign of v
gdot(s,t) = gdot(s,t) + abs(rhoSgl(s,t+4)) * constitutive_nonlocal_burgersPerSlipSystem(s,myInstance) * v(s,t)
#ifndef _OPENMP
if (debug_verbosity > 6 .and. ((debug_e == el .and. debug_i == ip .and. debug_g == g) .or. .not. debug_selectiveDebugger)) then
@ -1687,8 +1696,7 @@ forall (s = 1:ns, t = 1:4, rhoSgl(s,t+4) * constitutive_nonlocal_v(s,t,g,ip,el)
!****************************************************************************
!*** check CFL condition for flux
if (any(1.2_pReal * constitutive_nonlocal_v(1:ns,1:4,g,ip,el) * timestep & ! security factor 1.2
> mesh_ipVolume(ip,el) / maxval(mesh_ipArea(:,ip,el)))) then ! reference volume and area
if (any(1.2_pReal * abs(v) * timestep > mesh_ipVolume(ip,el) / maxval(mesh_ipArea(:,ip,el)))) then ! safety factor 1.2 (we use the reference volume and are for simplicity here)
#ifndef _OPENMP
if (debug_verbosity > 6) then
write(6,*) '<< CONST >> CFL condition not fullfilled'
@ -1724,7 +1732,7 @@ rhoDotRemobilization = 0.0_pReal
if (timestep > 0.0_pReal) then
do t = 1,4
do s = 1,ns
if (rhoSgl(s,t+4) * constitutive_nonlocal_v(s,t,g,ip,el) < 0.0_pReal) then
if (rhoSgl(s,t+4) * v(s,t) < 0.0_pReal) then
rhoDotRemobilization(s,t) = abs(rhoSgl(s,t+4)) / timestep
rhoSgl(s,t) = rhoSgl(s,t) + abs(rhoSgl(s,t+4))
rhoDotRemobilization(s,t+4) = - rhoSgl(s,t+4) / timestep
@ -1769,7 +1777,7 @@ if (.not. phase_localConstitution(material_phase(g,ip,el))) then
my_Fe = Fe(1:3,1:3,g,ip,el)
my_F = math_mul33x33(my_Fe, Fp(1:3,1:3,g,ip,el))
fluxdensity = rhoSgl(1:ns,1:4) * constitutive_nonlocal_v(1:ns,1:4,g,ip,el)
fluxdensity = rhoSgl(1:ns,1:4) * v
do n = 1,FE_NipNeighbors(mesh_element(2,el)) ! loop through my neighbors
neighboring_el = mesh_ipNeighborhood(1,n,ip,el)
@ -1813,9 +1821,14 @@ if (.not. phase_localConstitution(material_phase(g,ip,el))) then
endif
if (considerEnteringFlux) then
forall (t = 1:4) &
neighboring_fluxdensity(1:ns,t) = state(g,neighboring_ip,neighboring_el)%p((t-1)*ns+1:t*ns) &
* constitutive_nonlocal_v(1:ns,t,g,neighboring_ip,neighboring_el)
neighboring_fluxdensity(1:ns,1) = state(g,neighboring_ip,neighboring_el)%p(1:ns) &
* state(g,neighboring_ip,neighboring_el)%p(12*ns+6+1:13*ns+6)
neighboring_fluxdensity(1:ns,2) = state(g,neighboring_ip,neighboring_el)%p(ns+1:2*ns) &
* state(g,neighboring_ip,neighboring_el)%p(12*ns+6+1:13*ns+6)
neighboring_fluxdensity(1:ns,3) = state(g,neighboring_ip,neighboring_el)%p(2*ns+1:3*ns) &
* state(g,neighboring_ip,neighboring_el)%p(13*ns+6+1:14*ns+6)
neighboring_fluxdensity(1:ns,4) = state(g,neighboring_ip,neighboring_el)%p(3*ns+1:4*ns) &
* state(g,neighboring_ip,neighboring_el)%p(13*ns+6+1:14*ns+6)
normal_neighbor2me_defConf = math_det3x3(Favg) &
* math_mul33x3(math_inv3x3(transpose(Favg)), mesh_ipAreaNormal(1:3,neighboring_n,neighboring_ip,neighboring_el)) ! calculate the normal of the interface in (average) deformed configuration (now pointing from my neighbor to me!!!)
normal_neighbor2me = math_mul33x3(transpose(neighboring_Fe), normal_neighbor2me_defConf) / math_det3x3(neighboring_Fe) ! interface normal in the lattice configuration of my neighbor
@ -2229,7 +2242,8 @@ real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstan
rhoSgl, & ! current single dislocation densities (positive/negative screw and edge without dipoles)
rhoDotSgl ! evolution rate of single dislocation densities (positive/negative screw and edge without dipoles)
real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el))),4) :: &
gdot ! shear rates
gdot, & ! shear rates
v ! velocities
real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
rhoForest, & ! forest dislocation density
tauThreshold, & ! threshold shear stress
@ -2264,15 +2278,14 @@ tauThreshold = state(g,ip,el)%p(11*ns+1:12*ns)
Tdislocation_v = state(g,ip,el)%p(12*ns+1:12*ns+6)
forall (t = 1:8) rhoDotSgl(1:ns,t) = dotState(g,ip,el)%p((t-1)*ns+1:t*ns)
forall (c = 1:2) rhoDotDip(1:ns,c) = dotState(g,ip,el)%p((7+c)*ns+1:(8+c)*ns)
forall (t = 1:4) v(1:ns,t) = state(g,ip,el)%p((12+(t-1)/2)*ns+6+1:(13+(t-1)/2)*ns+6)
!* Calculate shear rate
call constitutive_nonlocal_kinetics(Tstar_v, Temperature, state(g,ip,el), g, ip, el) ! need to calculate dislocation velocity again, because it was overwritten during stiffness calculation
do t = 1,4
do s = 1,ns
if (rhoSgl(s,t+4) * constitutive_nonlocal_v(s,t,g,ip,el) < 0.0_pReal) then
if (rhoSgl(s,t+4) * v(s,t) < 0.0_pReal) then
rhoSgl(s,t) = rhoSgl(s,t) + abs(rhoSgl(s,t+4)) ! remobilization of immobile singles for changing sign of v (bauschinger effect)
rhoSgl(s,t+4) = 0.0_pReal ! remobilization of immobile singles for changing sign of v (bauschinger effect)
endif
@ -2280,8 +2293,8 @@ do t = 1,4
enddo
forall (t = 1:4) &
gdot(1:ns,t) = rhoSgl(1:ns,t) * constitutive_nonlocal_burgersPerSlipSystem(1:ns,myInstance) &
* constitutive_nonlocal_v(1:ns,t,g,ip,el)
gdot(1:ns,t) = rhoSgl(1:ns,t) * constitutive_nonlocal_burgersPerSlipSystem(1:ns,myInstance) * v(1:ns,t)
!* calculate limits for stable dipole height
@ -2559,67 +2572,55 @@ do o = 1,phase_Noutput(material_phase(g,ip,el))
cs = cs + ns
case ('dislocationvelocity')
constitutive_nonlocal_postResults(cs+1:cs+ns) = constitutive_nonlocal_v(1:ns,1,g,ip,el)
constitutive_nonlocal_postResults(cs+1:cs+ns) = v(1:ns,1)
cs = cs + ns
case ('fluxdensity_edge_pos_x')
constitutive_nonlocal_postResults(cs+1:cs+ns) = rhoSgl(1:ns,1) * constitutive_nonlocal_v(1:ns,1,g,ip,el) &
* m_currentconf(1,1:ns,1)
constitutive_nonlocal_postResults(cs+1:cs+ns) = rhoSgl(1:ns,1) * v(1:ns,1) * m_currentconf(1,1:ns,1)
cs = cs + ns
case ('fluxdensity_edge_pos_y')
constitutive_nonlocal_postResults(cs+1:cs+ns) = rhoSgl(1:ns,1) * constitutive_nonlocal_v(1:ns,1,g,ip,el) &
* m_currentconf(2,1:ns,1)
constitutive_nonlocal_postResults(cs+1:cs+ns) = rhoSgl(1:ns,1) * v(1:ns,1) * m_currentconf(2,1:ns,1)
cs = cs + ns
case ('fluxdensity_edge_pos_z')
constitutive_nonlocal_postResults(cs+1:cs+ns) = rhoSgl(1:ns,1) * constitutive_nonlocal_v(1:ns,1,g,ip,el) &
* m_currentconf(3,1:ns,1)
constitutive_nonlocal_postResults(cs+1:cs+ns) = rhoSgl(1:ns,1) * v(1:ns,1) * m_currentconf(3,1:ns,1)
cs = cs + ns
case ('fluxdensity_edge_neg_x')
constitutive_nonlocal_postResults(cs+1:cs+ns) = - rhoSgl(1:ns,2) * constitutive_nonlocal_v(1:ns,2,g,ip,el) &
* m_currentconf(1,1:ns,1)
constitutive_nonlocal_postResults(cs+1:cs+ns) = - rhoSgl(1:ns,2) * v(1:ns,2) * m_currentconf(1,1:ns,1)
cs = cs + ns
case ('fluxdensity_edge_neg_y')
constitutive_nonlocal_postResults(cs+1:cs+ns) = - rhoSgl(1:ns,2) * constitutive_nonlocal_v(1:ns,2,g,ip,el) &
* m_currentconf(2,1:ns,1)
constitutive_nonlocal_postResults(cs+1:cs+ns) = - rhoSgl(1:ns,2) * v(1:ns,2) * m_currentconf(2,1:ns,1)
cs = cs + ns
case ('fluxdensity_edge_neg_z')
constitutive_nonlocal_postResults(cs+1:cs+ns) = - rhoSgl(1:ns,2) * constitutive_nonlocal_v(1:ns,2,g,ip,el) &
* m_currentconf(3,1:ns,1)
constitutive_nonlocal_postResults(cs+1:cs+ns) = - rhoSgl(1:ns,2) * v(1:ns,2) * m_currentconf(3,1:ns,1)
cs = cs + ns
case ('fluxdensity_screw_pos_x')
constitutive_nonlocal_postResults(cs+1:cs+ns) = rhoSgl(1:ns,3) * constitutive_nonlocal_v(1:ns,3,g,ip,el) &
* m_currentconf(1,1:ns,2)
constitutive_nonlocal_postResults(cs+1:cs+ns) = rhoSgl(1:ns,3) * v(1:ns,3) * m_currentconf(1,1:ns,2)
cs = cs + ns
case ('fluxdensity_screw_pos_y')
constitutive_nonlocal_postResults(cs+1:cs+ns) = rhoSgl(1:ns,3) * constitutive_nonlocal_v(1:ns,3,g,ip,el) &
* m_currentconf(2,1:ns,2)
constitutive_nonlocal_postResults(cs+1:cs+ns) = rhoSgl(1:ns,3) * v(1:ns,3) * m_currentconf(2,1:ns,2)
cs = cs + ns
case ('fluxdensity_screw_pos_z')
constitutive_nonlocal_postResults(cs+1:cs+ns) = rhoSgl(1:ns,3) * constitutive_nonlocal_v(1:ns,3,g,ip,el) &
* m_currentconf(3,1:ns,2)
constitutive_nonlocal_postResults(cs+1:cs+ns) = rhoSgl(1:ns,3) * v(1:ns,3) * m_currentconf(3,1:ns,2)
cs = cs + ns
case ('fluxdensity_screw_neg_x')
constitutive_nonlocal_postResults(cs+1:cs+ns) = - rhoSgl(1:ns,4) * constitutive_nonlocal_v(1:ns,4,g,ip,el) &
* m_currentconf(1,1:ns,2)
constitutive_nonlocal_postResults(cs+1:cs+ns) = - rhoSgl(1:ns,4) * v(1:ns,4) * m_currentconf(1,1:ns,2)
cs = cs + ns
case ('fluxdensity_screw_neg_y')
constitutive_nonlocal_postResults(cs+1:cs+ns) = - rhoSgl(1:ns,4) * constitutive_nonlocal_v(1:ns,4,g,ip,el) &
* m_currentconf(2,1:ns,2)
constitutive_nonlocal_postResults(cs+1:cs+ns) = - rhoSgl(1:ns,4) * v(1:ns,4) * m_currentconf(2,1:ns,2)
cs = cs + ns
case ('fluxdensity_screw_neg_z')
constitutive_nonlocal_postResults(cs+1:cs+ns) = - rhoSgl(1:ns,4) * constitutive_nonlocal_v(1:ns,4,g,ip,el) &
* m_currentconf(3,1:ns,2)
constitutive_nonlocal_postResults(cs+1:cs+ns) = - rhoSgl(1:ns,4) * v(1:ns,4) * m_currentconf(3,1:ns,2)
cs = cs + ns
case ('d_upper_edge')