no need to loop over families and systems independently. no need for 3333
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@ -523,7 +523,7 @@ pure subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMstar99,Mstar,ipc,
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dgdot_dtauslip_pos,dgdot_dtauslip_neg, &
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gdot_twin,dgdot_dtautwin,tau_twin
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real(pReal), dimension(3,3,3,3) :: &
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dLp_dMstar3333 !< derivative of Lp with respect to Mstar as 4th order tensor
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dLp_dMstar !< derivative of Lp with respect to Mstar as 4th order tensor
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type(tParameters) :: prm
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type(tPhenopowerlawState) :: stt
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@ -534,53 +534,48 @@ pure subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMstar99,Mstar,ipc,
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stt => state(phase_plasticityInstance(ph)))
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Lp = 0.0_pReal
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dLp_dMstar3333 = 0.0_pReal
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dLp_dMstar = 0.0_pReal
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dLp_dMstar99 = 0.0_pReal
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!--------------------------------------------------------------------------------------------------
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! Slip part
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j = 0_pInt
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slipFamilies: do f = 1_pInt,size(prm%Nslip,1)
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index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
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slipSystems: do i = 1_pInt,prm%Nslip(f)
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j = j+1_pInt
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do j = 1_pInt, prm%totalNslip
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! Calculation of Lp
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tau_slip_pos = math_mul33xx33(Mstar,prm%Schmid_slip(1:3,1:3,j))
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tau_slip_neg = tau_slip_pos
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do k = 1,size(prm%nonSchmidCoeff)
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tau_slip_pos = tau_slip_pos &
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+ math_mul33xx33(Mstar,prm%nonSchmid_pos(1:3,1:3,k,j))
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tau_slip_neg = tau_slip_neg &
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+ math_mul33xx33(Mstar,prm%nonSchmid_neg(1:3,1:3,k,j))
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enddo
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gdot_slip_pos = 0.5_pReal*prm%gdot0_slip* &
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((abs(tau_slip_pos)/(stt%s_slip(j,of)))**prm%n_slip)*sign(1.0_pReal,tau_slip_pos)
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! Calculation of Lp
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tau_slip_pos = math_mul33xx33(Mstar,prm%Schmid_slip(1:3,1:3,j))
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tau_slip_neg = tau_slip_pos
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do k = 1,size(prm%nonSchmidCoeff)
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tau_slip_pos = tau_slip_pos &
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+ math_mul33xx33(Mstar,prm%nonSchmid_pos(1:3,1:3,k,j))
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tau_slip_neg = tau_slip_neg &
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+ math_mul33xx33(Mstar,prm%nonSchmid_neg(1:3,1:3,k,j))
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enddo
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gdot_slip_pos = 0.5_pReal*prm%gdot0_slip* &
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((abs(tau_slip_pos)/(stt%s_slip(j,of)))**prm%n_slip)*sign(1.0_pReal,tau_slip_pos)
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gdot_slip_neg = 0.5_pReal*prm%gdot0_slip* &
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((abs(tau_slip_neg)/(stt%s_slip(j,of)))**prm%n_slip)*sign(1.0_pReal,tau_slip_neg)
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gdot_slip_neg = 0.5_pReal*prm%gdot0_slip* &
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((abs(tau_slip_neg)/(stt%s_slip(j,of)))**prm%n_slip)*sign(1.0_pReal,tau_slip_neg)
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Lp = Lp + (1.0_pReal-stt%sumF(of))*&
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(gdot_slip_pos+gdot_slip_neg)*prm%Schmid_slip(1:3,1:3,j)
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Lp = Lp + (1.0_pReal-stt%sumF(of))*&
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(gdot_slip_pos+gdot_slip_neg)*prm%Schmid_slip(1:3,1:3,j)
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! Calculation of the tangent of Lp
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if (dNeq0(tau_slip_pos)) then
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dgdot_dtauslip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLp_dMstar3333(k,l,m,n) = dLp_dMstar3333(k,l,m,n) &
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+ dgdot_dtauslip_pos*prm%Schmid_slip(k,l,j) &
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*(prm%Schmid_slip(m,n,j) + sum(prm%nonSchmid_pos(m,n,:,j)))
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endif
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! Calculation of the tangent of Lp
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if (dNeq0(tau_slip_pos)) then
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dgdot_dtauslip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLp_dMstar(k,l,m,n) = dLp_dMstar(k,l,m,n) &
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+ dgdot_dtauslip_pos*prm%Schmid_slip(k,l,j) &
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*(prm%Schmid_slip(m,n,j) + sum(prm%nonSchmid_pos(m,n,:,j)))
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endif
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if (dNeq0(tau_slip_neg)) then
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dgdot_dtauslip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLp_dMstar(k,l,m,n) = dLp_dMstar(k,l,m,n) &
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+ dgdot_dtauslip_neg*prm%Schmid_slip(k,l,j) &
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*(prm%Schmid_slip(m,n,j) + sum(prm%nonSchmid_neg(m,n,:,j)))
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endif
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if (dNeq0(tau_slip_neg)) then
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dgdot_dtauslip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLp_dMstar3333(k,l,m,n) = dLp_dMstar3333(k,l,m,n) &
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+ dgdot_dtauslip_neg*prm%Schmid_slip(k,l,j) &
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*(prm%Schmid_slip(m,n,j) + sum(prm%nonSchmid_neg(m,n,:,j)))
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endif
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enddo slipSystems
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enddo slipFamilies
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enddo
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!--------------------------------------------------------------------------------------------------
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! Twinning part
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@ -601,14 +596,14 @@ pure subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMstar99,Mstar,ipc,
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if (dNeq0(gdot_twin)) then
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dgdot_dtautwin = gdot_twin*prm%n_twin/tau_twin
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
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dLp_dMstar3333(k,l,m,n) = dLp_dMstar3333(k,l,m,n) + &
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dgdot_dtautwin*lattice_Stwin(k,l,index_myFamily+i,ph)* &
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dLp_dMstar(k,l,m,n) = dLp_dMstar(k,l,m,n) &
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+ dgdot_dtautwin*lattice_Stwin(k,l,index_myFamily+i,ph)* &
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lattice_Stwin(m,n,index_myFamily+i,ph)
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endif
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enddo twinSystems
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enddo twinFamilies
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dLp_dMstar99 = math_Plain3333to99(dLp_dMstar3333)
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dLp_dMstar99 = math_Plain3333to99(dLp_dMstar)
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end associate
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end subroutine plastic_phenopowerlaw_LpAndItsTangent
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