corrected mistake in Lp tangent calculation (Christoph, pls check)
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@ -11,7 +11,7 @@
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! constitution j2
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! (output) flowstress
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! (output) strainrate
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! c11 110.9e9 # (3 C11 + 2 C12 + 2 C44) / 5
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! c11 110.9e9 # (3 C11 + 2 C12 + 2 C44) / 5 ... with C44 = C11-C12 !!
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! c12 58.34e9 # (1 C11 + 4 C12 - 1 C44) / 5
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! taylorfactor 3
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! s0 31e6
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@ -281,30 +281,33 @@ subroutine constitutive_j2_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,sta
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real(pReal), dimension(3,3) :: Lp
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real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333
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real(pReal), dimension(9,9) :: dLp_dTstar
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real(pReal) norm_Tstar
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real(pReal) factor
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real(pReal) norm_Tstar, squarenorm_Tstar, factor
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matID = phase_constitutionInstance(material_phase(ipc,ip,el))
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Tstar33 = math_Mandel6to33(Tstar_v)
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norm_Tstar = dsqrt(math_mul6x6(Tstar_v,Tstar_v))
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squarenorm_Tstar = math_mul6x6(Tstar_v,Tstar_v)
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norm_Tstar = dsqrt(Tstar)
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!* Calculation of Lp
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Lp = Tstar33/norm_Tstar*constitutive_j2_gdot0(matID)/constitutive_j2_fTaylor(matID)* &
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(dsqrt(1.5_pReal)/constitutive_j2_fTaylor(matID)*norm_Tstar/state(ipc,ip,el)%p(1))**constitutive_j2_n(matID)
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!* Calculation of the tangent of Lp
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factor = constitutive_j2_gdot0(matID)/constitutive_j2_fTaylor(matID)* &
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(dsqrt(1.5_pReal)/ constitutive_j2_fTaylor(matID)/state(ipc,ip,el)%p(1))**constitutive_j2_n(matID) * &
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norm_Tstar**(constitutive_j2_n(matID)-1.0_pReal)
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dLp_dTstar3333 = 0.0_pReal
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dLp_dTstar = 0.0_pReal
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factor = constitutive_j2_gdot0(matID)/constitutive_j2_fTaylor(matID)* &
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(dsqrt(1.5_pReal)/ constitutive_j2_fTaylor(matID)/state(ipc,ip,el)%p(1))**constitutive_j2_n(matID) * &
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* norm_Tstar**(constitutive_j2_n(matID)-1.0_pReal)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLp_dTstar3333(k,l,m,n) = factor * (constitutive_j2_n(matID)-1.0_pReal)/(norm_Tstar**2.0_pReal) * Tstar33(k,l)*Tstar33(m,n)
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dLp_dTstar3333(k,l,m,n) = Tstar33(k,l)*Tstar33(m,n) * (constitutive_j2_n(matID)-1.0_pReal)/squarenorm_Tstar
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forall (k=1:3,l=1:3) &
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dLp_dTstar3333(k,l,k,l) = dLp_dTstar3333(k,l,k,l) + factor
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dLp_dTstar = math_Plain3333to99(dLp_dTstar3333)
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dLp_dTstar3333(k,k,l,l) = dLp_dTstar3333(k,k,l,l) + 1.0_pReal
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dLp_dTstar = math_Plain3333to99(factor * dLp_dTstar3333)
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return
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end subroutine
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@ -340,9 +343,9 @@ function constitutive_j2_dotState(Tstar_v,Temperature,state,ipc,ip,el)
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norm_Tstar = dsqrt(math_mul6x6(Tstar_v,Tstar_v))
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constitutive_j2_dotState = constitutive_j2_gdot0(matID)/constitutive_j2_fTaylor(matID)* &
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(dsqrt(1.5_pReal)/constitutive_j2_fTaylor(matID)*norm_Tstar/state(ipc,ip,el)%p(1))** &
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constitutive_j2_n(matID) * &
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constitutive_j2_h0(matID)*(1.0_pReal-state(ipc,ip,el)%p(1)/constitutive_j2_s_sat(matID))** &
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constitutive_j2_w0(matID)
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constitutive_j2_n(matID) * &
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constitutive_j2_h0(matID)*(1.0_pReal-state(ipc,ip,el)%p(1)/constitutive_j2_s_sat(matID))** &
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constitutive_j2_w0(matID)
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return
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@ -387,9 +390,9 @@ pure function constitutive_j2_postResults(Tstar_v,Temperature,dt,state,ipc,ip,el
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constitutive_j2_postResults(c+1) = state(ipc,ip,el)%p(1)
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c = c + 1
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case ('strainrate')
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constitutive_j2_postResults(c+1) = constitutive_j2_gdot0(matID)/constitutive_j2_fTaylor(matID)* &
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constitutive_j2_postResults(c+1) = constitutive_j2_gdot0(matID)/constitutive_j2_fTaylor(matID)* &
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(dsqrt(1.5_pReal)/constitutive_j2_fTaylor(matID)*norm_Tstar/state(ipc,ip,el)%p(1))** &
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constitutive_j2_n(matID)
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constitutive_j2_n(matID)
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c = c + 1
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end select
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enddo
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