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fully introduced non-schmid behavior

This commit is contained in:
Martin Diehl 2014-11-07 11:23:34 +00:00
parent 2d2eb4e001
commit 69b150319f
1 changed files with 62 additions and 77 deletions
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139
code/constitutive_dislokmc.f90
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@ -1111,7 +1111,7 @@ end subroutine constitutive_dislokmc_microstructure
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!--------------------------------------------------------------------------------------------------
subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,slipDamage,ipc,ip,el)
subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature,slipDamage,ipc,ip,el)
use prec, only: &
tol_math_check
use math, only: &
@ -1151,7 +1151,7 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
intent(in) :: &
slipDamage
real(pReal), dimension(3,3), intent(out) :: Lp
real(pReal), dimension(9,9), intent(out) :: dLp_dTstar
real(pReal), dimension(9,9), intent(out) :: dLp_dTstar99
integer(pInt) :: instance,ph,of,ns,nt,f,i,j,k,l,m,n,index_myFamily,s1,s2
real(pReal) :: sumf,StressRatio_p,StressRatio_pminus1,StressRatio_r,BoltzmannRatio,DotGamma0,Ndot0, &
@ -1186,7 +1186,13 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
slipSystems: do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance)
j = j+1_pInt
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*&
constitutive_dislokmc_v0PerSlipSystem(j,instance)
!* Resolved shear stress on slip system
tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,ph))
tau_slip_neg = tau_slip_pos
nonSchmid_tensor(1:3,1:3,1) = lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph)
@ -1202,12 +1208,7 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,2) + constitutive_dislokmc_nonSchmidCoeff(k,instance)*&
lattice_Sslip(1:3,1:3,2*k+1,index_myFamily+i,ph)
enddo nonSchmidSystems
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*&
constitutive_dislokmc_v0PerSlipSystem(j,instance)
significantPostitiveStress: if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
!* Stress ratios
stressRatio = ((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of))/&
@ -1276,15 +1277,15 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
* vel_slip &
+ StressRatio_u * dvel_slip)
endif significantNegativeStress
!* Plastic velocity gradient for dislocation glide
Lp = Lp + (gdot_slip_pos(j))*lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph)
!* Plastic velocity gradient for dislocation glide
Lp = Lp + (gdot_slip_pos(j)+gdot_slip_neg(j))*0.5_pReal*lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph)
!* Calculation of the tangent of Lp
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
!* Calculation of the tangent of Lp
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + (dgdot_dtauslip_pos)*&
lattice_Sslip(k,l,1,index_myFamily+i,ph)*&
lattice_Sslip(m,n,1,index_myFamily+i,ph)
dLp_dTstar3333(k,l,m,n) + (dgdot_dtauslip_pos*nonSchmid_tensor(m,n,1)+&
dgdot_dtauslip_neg*nonSchmid_tensor(m,n,2))*0.5_pReal*&
lattice_Sslip(k,l,1,index_myFamily+i,ph)
enddo slipSystems
enddo slipFamilies
@ -1304,10 +1305,7 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,ph)) ! at which index starts my family
twinSystems: do i = 1_pInt,constitutive_dislokmc_Ntwin(f,instance)
j = j+1_pInt
!* Calculation of Lp
!* Resolved shear stress on twin system
tau_twin = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,ph))
!* Stress ratios
@ -1319,7 +1317,7 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
if (tau_twin < constitutive_dislokmc_tau_r(j,instance)) then
Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2,of)+plasticState(ph)%state(ns+s2, of))+&
Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2,of)+plasticState(ph)%state(ns+s2, of))+& !no non-Schmid behavior for fcc, just take the not influenced positive gdot_slip_pos (= gdot_slip_neg)
abs(gdot_slip_pos(s2))*(plasticState(ph)%state(s1,of)+plasticState(ph)%state(ns+s1, of)))/&
(constitutive_dislokmc_L0(instance)*constitutive_dislokmc_burgersPerSlipSystem(j,instance))*&
(1.0_pReal-exp(-constitutive_dislokmc_VcrossSlip(instance)/(kB*Temperature)*&
@ -1348,7 +1346,7 @@ subroutine constitutive_dislokmc_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperatu
enddo twinSystems
enddo twinFamilies
dLp_dTstar = math_Plain3333to99(dLp_dTstar3333)
dLp_dTstar99 = math_Plain3333to99(dLp_dTstar3333)
end subroutine constitutive_dislokmc_LpAndItsTangent
@ -1416,9 +1414,8 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
DotRhoEdgeDipClimb, &
DotRhoDipFormation, &
tau_twin, &
vel_slip
real(pReal), dimension(3,3,2) :: &
nonSchmid_tensor
vel_slip, &
gdot_slip
real(pReal), dimension(constitutive_dislokmc_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip_pos, gdot_slip_neg
@ -1440,29 +1437,22 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
slipSystems: do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance)
j = j+1_pInt
tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,ph))
tau_slip_neg = tau_slip_pos
nonSchmid_tensor(1:3,1:3,1) = lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph)
nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,1)
nonSchmidSystems: do k = 1,lattice_NnonSchmid(ph)
tau_slip_pos = tau_slip_pos + constitutive_dislokmc_nonSchmidCoeff(k,instance)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k,index_myFamily+i,ph))
tau_slip_neg = tau_slip_neg + constitutive_dislokmc_nonSchmidCoeff(k,instance)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,ph))
nonSchmid_tensor(1:3,1:3,1) = nonSchmid_tensor(1:3,1:3,1) + constitutive_dislokmc_nonSchmidCoeff(k,instance)*&
lattice_Sslip(1:3,1:3,2*k,index_myFamily+i,ph)
nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,2) + constitutive_dislokmc_nonSchmidCoeff(k,instance)*&
lattice_Sslip(1:3,1:3,2*k+1,index_myFamily+i,ph)
enddo nonSchmidSystems
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*&
constitutive_dislokmc_v0PerSlipSystem(j,instance)
!* Resolved shear stress on slip system
tau_slip_pos = dot_product(Tstar_v,lattice_Sslip_v(1:6,1,index_myFamily+i,ph))
tau_slip_neg = tau_slip_pos
nonSchmidSystems: do k = 1,lattice_NnonSchmid(ph)
tau_slip_pos = tau_slip_pos + constitutive_dislokmc_nonSchmidCoeff(k,instance)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k, index_myFamily+i,ph))
tau_slip_neg = tau_slip_neg + constitutive_dislokmc_nonSchmidCoeff(k,instance)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,ph))
enddo nonSchmidSystems
significantPositiveStress: if((abs(tau_slip_pos)-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
!* Stress ratios
@ -1496,9 +1486,9 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
* StressRatio_u * vel_slip &
* sign(1.0_pReal,tau_slip_neg)
endif significantNegativeStress
gdot_slip = (gdot_slip_pos(j)+gdot_slip_neg(j))*0.5_pReal
!* Multiplication
DotRhoMultiplication = abs(gdot_slip_pos(j))/&
DotRhoMultiplication = abs(gdot_slip)/&
(constitutive_dislokmc_burgersPerSlipSystem(j,instance)* &
plasticState(ph)%state(5*ns+3*nt+j, of))
@ -1515,18 +1505,18 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
if (EdgeDipDistance<EdgeDipMinDistance) EdgeDipDistance=EdgeDipMinDistance
DotRhoDipFormation = &
((2.0_pReal*EdgeDipDistance)/constitutive_dislokmc_burgersPerSlipSystem(j,instance))*&
plasticState(ph)%state(j, of)*abs(gdot_slip_pos(j))*constitutive_dislokmc_dipoleFormationFactor(instance)
plasticState(ph)%state(j, of)*abs(gdot_slip)*constitutive_dislokmc_dipoleFormationFactor(instance)
endif
!* Spontaneous annihilation of 2 single edge dislocations
DotRhoEdgeEdgeAnnihilation = &
((2.0_pReal*EdgeDipMinDistance)/constitutive_dislokmc_burgersPerSlipSystem(j,instance))*&
plasticState(ph)%state(j, of)*abs(gdot_slip_pos(j))
plasticState(ph)%state(j, of)*abs(gdot_slip)
!* Spontaneous annihilation of a single edge dislocation with a dipole constituent
DotRhoEdgeDipAnnihilation = &
((2.0_pReal*EdgeDipMinDistance)/constitutive_dislokmc_burgersPerSlipSystem(j,instance))*&
plasticState(ph)%state(ns+j, of)*abs(gdot_slip_pos(j))
plasticState(ph)%state(ns+j, of)*abs(gdot_slip)
!* Dislocation dipole climb
AtomicVolume = &
@ -1552,7 +1542,7 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
DotRhoDipFormation-DotRhoEdgeDipAnnihilation-DotRhoEdgeDipClimb
!* Dotstate for accumulated shear due to slip
plasticState(ph)%dotState(2_pInt*ns+j, of) = gdot_slip_pos(j)
plasticState(ph)%dotState(2_pInt*ns+j, of) = gdot_slip
enddo slipSystems
enddo slipFamilies
@ -1563,7 +1553,6 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,ph)) ! at which index starts my family
twinSystems: do i = 1_pInt,constitutive_dislokmc_Ntwin(f,instance)
j = j+1_pInt
!* Resolved shear stress on twin system
tau_twin = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,ph))
!* Stress ratios
@ -1576,7 +1565,7 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
if (tau_twin < constitutive_dislokmc_tau_r(j,instance)) then
Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2, of)+plasticState(ph)%state(ns+s2, of))+&
Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2, of)+plasticState(ph)%state(ns+s2, of))+& !no non-Schmid behavior for fcc, just take the not influenced positive slip (gdot_slip_pos = gdot_slip_neg)
abs(gdot_slip_pos(s2))*(plasticState(ph)%state(s1, of)+plasticState(ph)%state(ns+s1, of)))/&
(constitutive_dislokmc_L0(instance)*constitutive_dislokmc_burgersPerSlipSystem(j,instance))*&
(1.0_pReal-exp(-constitutive_dislokmc_VcrossSlip(instance)/(kB*Temperature)*&
@ -1587,6 +1576,7 @@ subroutine constitutive_dislokmc_dotState(Tstar_v,Temperature,ipc,ip,el)
case default
Ndot0=constitutive_dislokmc_Ndot0PerTwinSystem(j,instance)
end select
plasticState(ph)%dotState(3_pInt*ns+j, of) = &
(constitutive_dislokmc_MaxTwinFraction(instance)-sumf)*&
plasticState(ph)%state(7_pInt*ns+5_pInt*nt+j, of)*Ndot0*exp(-StressRatio_r)
@ -1744,8 +1734,6 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
real(pReal) :: StressRatio_u,StressRatio_uminus1
real(pReal), dimension(constitutive_dislokmc_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip_pos,dgdot_dtauslip_pos,tau_slip_pos,gdot_slip_neg,dgdot_dtauslip_neg,tau_slip_neg
real(pReal), dimension(3,3,2) :: &
nonSchmid_tensor
!* Shortened notation
of = mappingConstitutive(1,ipc,ip,el)
@ -1780,28 +1768,23 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
slipSystems: do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance)
j = j + 1_pInt
!* Resolved shear stress on slip system
tau_slip_pos(j) = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
tau_slip_neg(j) = tau_slip_pos(j)
nonSchmid_tensor(1:3,1:3,1) = lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph)
nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,1)
nonSchmidSystems: do k = 1,lattice_NnonSchmid(ph)
tau_slip_pos = tau_slip_pos + constitutive_dislokmc_nonSchmidCoeff(k,instance)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k,index_myFamily+i,ph))
tau_slip_neg = tau_slip_neg + constitutive_dislokmc_nonSchmidCoeff(k,instance)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,ph))
nonSchmid_tensor(1:3,1:3,1) = nonSchmid_tensor(1:3,1:3,1) + constitutive_dislokmc_nonSchmidCoeff(k,instance)*&
lattice_Sslip(1:3,1:3,2*k,index_myFamily+i,ph)
nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,2) + constitutive_dislokmc_nonSchmidCoeff(k,instance)*&
lattice_Sslip(1:3,1:3,2*k+1,index_myFamily+i,ph)
enddo nonSchmidSystems
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislokmc_QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
plasticState(ph)%state(j, of)*constitutive_dislokmc_burgersPerSlipSystem(j,instance)*&
constitutive_dislokmc_v0PerSlipSystem(j,instance)
!* Resolved shear stress on slip system
tau_slip_pos(j) = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
tau_slip_neg(j) = tau_slip_pos(j)
nonSchmidSystems: do k = 1,lattice_NnonSchmid(ph)
tau_slip_pos = tau_slip_pos + constitutive_dislokmc_nonSchmidCoeff(k,instance)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k,index_myFamily+i,ph))
tau_slip_neg = tau_slip_neg + constitutive_dislokmc_nonSchmidCoeff(k,instance)* &
dot_product(Tstar_v,lattice_Sslip_v(1:6,2*k+1,index_myFamily+i,ph))
enddo nonSchmidSystems
significantPostitiveStress: if((abs(tau_slip_pos(j))-plasticState(ph)%state(6*ns+4*nt+j, of)) > tol_math_check) then
!* Stress ratios
stressRatio = ((abs(tau_slip_pos(j))-plasticState(ph)%state(6*ns+4*nt+j, of))/&
@ -1872,7 +1855,7 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
enddo slipFamilies
if (constitutive_dislokmc_outputID(o,instance) == shear_rate_slip_ID) then
constitutive_dislokmc_postResults(c+1:c+ns) = gdot_slip_pos
constitutive_dislokmc_postResults(c+1:c+ns) = (gdot_slip_pos + gdot_slip_neg)*0.5_pReal
c = c + ns
elseif (constitutive_dislokmc_outputID(o,instance) == shear_rate_twin_ID) then
if (nt > 0_pInt) then
@ -1895,7 +1878,7 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
if (tau_twin < constitutive_dislokmc_tau_r(j,instance)) then
Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2, of)+plasticState(ph)%state(ns+s2, of))+&
Ndot0=(abs(gdot_slip_pos(s1))*(plasticState(ph)%state(s2, of)+plasticState(ph)%state(ns+s2, of))+& !no non-Schmid behavior for fcc, just take the not influenced positive slip (gdot_slip_pos = gdot_slip_neg)
abs(gdot_slip_pos(s2))*(plasticState(ph)%state(s1, of)+plasticState(ph)%state(ns+s1, of)))/&
(constitutive_dislokmc_L0(instance)*&
constitutive_dislokmc_burgersPerSlipSystem(j,instance))*&
@ -1918,10 +1901,12 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
c = c + nt
elseif(constitutive_dislokmc_outputID(o,instance) == stress_exponent_ID) then
do j = 1_pInt, ns
if (gdot_slip_pos(j)==0.0_pReal) then
if ((gdot_slip_pos(j)+gdot_slip_neg(j))*0.5_pReal==0.0_pReal) then
constitutive_dislokmc_postResults(c+j) = 0.0_pReal
else
constitutive_dislokmc_postResults(c+j) = (tau_slip_pos(j)/gdot_slip_pos(j))*dgdot_dtauslip_pos(j)
constitutive_dislokmc_postResults(c+j) = (tau_slip_pos(j)+tau_slip_neg(j))/&
(gdot_slip_pos(j)+gdot_slip_neg(j))*&
(dgdot_dtauslip_pos(j)+dgdot_dtauslip_neg(j))* 0.5_pReal
endif
enddo
c = c + ns
@ -1937,13 +1922,13 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
c = c + ns
case (resolved_stress_slip_ID)
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
slipFamilies1: do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance) ! process each (active) slip system in family
slipSystems1: do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance)
j = j + 1_pInt
constitutive_dislokmc_postResults(c+j) =&
dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
enddo; enddo
enddo slipSystems1; enddo slipFamilies1
c = c + ns
case (threshold_stress_slip_ID)
constitutive_dislokmc_postResults(c+1_pInt:c+ns) = &
@ -1951,16 +1936,16 @@ function constitutive_dislokmc_postResults(Tstar_v,Temperature,ipc,ip,el)
c = c + ns
case (edge_dipole_distance_ID)
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
slipFamilies2: do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance) ! process each (active) slip system in family
slipSystems2: do i = 1_pInt,constitutive_dislokmc_Nslip(f,instance)
j = j + 1_pInt
constitutive_dislokmc_postResults(c+j) = &
(3.0_pReal*lattice_mu(ph)*constitutive_dislokmc_burgersPerSlipSystem(j,instance))/&
(16.0_pReal*pi*abs(dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))))
constitutive_dislokmc_postResults(c+j)=min(constitutive_dislokmc_postResults(c+j),&
plasticState(ph)%state(5*ns+3*nt+j, of))
enddo; enddo
enddo slipSystems2; enddo slipFamilies2
c = c + ns
case (twin_fraction_ID)
constitutive_dislokmc_postResults(c+1_pInt:c+nt) = plasticState(ph)%state((3_pInt*ns+1_pInt):(3_pInt*ns+nt), of)