avoid conversion 33<->6 3333<->9
This commit is contained in:
Martin Diehl
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a992b8b1f5
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8f99f1ce61
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@ -479,8 +479,7 @@ subroutine constitutive_LpAndItsTangents(Lp, dLp_dS, dLp_dFi, S6, Fi, ipc, ip, e
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dLp_dMp = 0.0_pReal
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case (PLASTICITY_ISOTROPIC_ID) plasticityType
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call plastic_isotropic_LpAndItsTangent (Lp,dLp_dMp99, math_Mandel33to6(Mp),ipc,ip,el)
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dLp_dMp = math_Plain99to3333(dLp_dMp99) ! ToDo: We revert here the last statement in plastic_xx_LpAndItsTanget
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call plastic_isotropic_LpAndItsTangent (Lp,dLp_dMp,Mp,ipc,ip,el)
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case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType
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of = phasememberAt(ipc,ip,el)
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@ -527,6 +526,7 @@ end subroutine constitutive_LpAndItsTangents
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!--------------------------------------------------------------------------------------------------
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!> @brief contains the constitutive equation for calculating the velocity gradient
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! ToDo: MD: S is Mi?
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!--------------------------------------------------------------------------------------------------
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subroutine constitutive_LiAndItsTangents(Li, dLi_dS, dLi_dFi, S6, Fi, ipc, ip, el)
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use prec, only: &
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@ -535,7 +535,8 @@ subroutine constitutive_LiAndItsTangents(Li, dLi_dS, dLi_dFi, S6, Fi, ipc, ip, e
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math_I3, &
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math_inv33, &
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math_det33, &
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math_mul33x33
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math_mul33x33, &
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math_Mandel6to33
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use material, only: &
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phase_plasticity, &
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material_phase, &
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@ -588,7 +589,7 @@ subroutine constitutive_LiAndItsTangents(Li, dLi_dS, dLi_dFi, S6, Fi, ipc, ip, e
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plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el)))
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case (PLASTICITY_isotropic_ID) plasticityType
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call plastic_isotropic_LiAndItsTangent(my_Li, my_dLi_dS, S6, ipc, ip, el)
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call plastic_isotropic_LiAndItsTangent(my_Li, my_dLi_dS, math_Mandel6to33(S6), ipc, ip, el)
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case default plasticityType
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my_Li = 0.0_pReal
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my_dLi_dS = 0.0_pReal
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@ -231,7 +231,7 @@ end subroutine plastic_isotropic_init
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates plastic velocity gradient and its tangent
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!--------------------------------------------------------------------------------------------------
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subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el)
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subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,ipc,ip,el)
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use debug, only: &
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debug_level, &
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debug_constitutive, &
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@ -242,9 +242,6 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el)
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debug_i, &
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debug_g
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use math, only: &
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math_mul6x6, &
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math_Mandel6to33, &
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math_Plain3333to99, &
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math_deviatoric33, &
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math_mul33xx33
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use material, only: &
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@ -253,13 +250,13 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el)
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phase_plasticityInstance
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implicit none
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real(pReal), dimension(3,3), intent(out) :: &
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real(pReal), dimension(3,3), intent(out) :: &
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Lp !< plastic velocity gradient
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real(pReal), dimension(9,9), intent(out) :: &
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dLp_dTstar99 !< derivative of Lp with respect to 2nd Piola Kirchhoff stress
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real(pReal), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp !< derivative of Lp with respect to the Mandel stress
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real(pReal), dimension(6), intent(in) :: &
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Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
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real(pReal), dimension(3,3), intent(in) :: &
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Mp
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integer(pInt), intent(in) :: &
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ipc, & !< component-ID of integration point
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ip, & !< integration point
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@ -267,13 +264,11 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el)
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real(pReal), dimension(3,3) :: &
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Tstar_dev_33 !< deviatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor
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real(pReal), dimension(3,3,3,3) :: &
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dLp_dTstar_3333 !< derivative of Lp with respect to Tstar as 4th order tensor
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Mp_dev !< deviatoric part of the Mandel stress
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real(pReal) :: &
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gamma_dot, & !< strainrate
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norm_Tstar_dev, & !< euclidean norm of Tstar_dev
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squarenorm_Tstar_dev !< square of the euclidean norm of Tstar_dev
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norm_Mp_dev, & !< euclidean norm of the Mandel stress
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squarenorm_Mp_dev !< square of the euclidean norm of the Mandel stress
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integer(pInt) :: &
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instance, of, &
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k, l, m, n
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@ -282,40 +277,38 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el)
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instance = phase_plasticityInstance(material_phase(ipc,ip,el))
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associate(prm => param(instance))
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Tstar_dev_33 = math_deviatoric33(math_Mandel6to33(Tstar_v)) ! deviatoric part of 2nd Piola-Kirchhoff stress
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squarenorm_Tstar_dev = math_mul33xx33(Tstar_dev_33,Tstar_dev_33)
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norm_Tstar_dev = sqrt(squarenorm_Tstar_dev)
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Mp_dev = math_deviatoric33(Mp)
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squarenorm_Mp_dev = math_mul33xx33(Mp_dev,Mp_dev)
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norm_Mp_dev = sqrt(squarenorm_Mp_dev)
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if (norm_Tstar_dev <= 0.0_pReal) then ! Tstar == 0 --> both Lp and dLp_dTstar are zero
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if (norm_Mp_dev <= 0.0_pReal) then
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Lp = 0.0_pReal
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dLp_dTstar99 = 0.0_pReal
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dLp_dMp = 0.0_pReal
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else
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gamma_dot = prm%gdot0 &
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* ( sqrt(1.5_pReal) * norm_Tstar_dev / prm%fTaylor / state(instance)%flowstress(of) ) &
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* ( sqrt(1.5_pReal) * norm_Mp_dev / prm%fTaylor / state(instance)%flowstress(of) ) &
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**prm%n
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Lp = Tstar_dev_33/norm_Tstar_dev * gamma_dot/prm%fTaylor
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Lp = Mp_dev/norm_Mp_dev * gamma_dot/prm%fTaylor
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if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0_pInt &
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.and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) &
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.or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0_pInt)) then
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write(6,'(a,i8,1x,i2,1x,i3)') '<< CONST isotropic >> at el ip g ',el,ip,ipc
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write(6,'(/,a,/,3(12x,3(f12.4,1x)/))') '<< CONST isotropic >> Tstar (dev) / MPa', &
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transpose(Tstar_dev_33(1:3,1:3))*1.0e-6_pReal
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write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> norm Tstar / MPa', norm_Tstar_dev*1.0e-6_pReal
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transpose(Mp_dev)*1.0e-6_pReal
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write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> norm Tstar / MPa', norm_Mp_dev*1.0e-6_pReal
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write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> gdot', gamma_dot
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end if
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!--------------------------------------------------------------------------------------------------
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! Calculation of the tangent of Lp
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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_dTstar_3333(k,l,m,n) = (prm%n-1.0_pReal) * &
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Tstar_dev_33(k,l)*Tstar_dev_33(m,n) / squarenorm_Tstar_dev
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dLp_dMp(k,l,m,n) = (prm%n-1.0_pReal) * Mp_dev(k,l)*Mp_dev(m,n) / squarenorm_Mp_dev
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) &
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dLp_dTstar_3333(k,l,k,l) = dLp_dTstar_3333(k,l,k,l) + 1.0_pReal
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dLp_dMp(k,l,k,l) = dLp_dMp(k,l,k,l) + 1.0_pReal
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forall (k=1_pInt:3_pInt,m=1_pInt:3_pInt) &
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dLp_dTstar_3333(k,k,m,m) = dLp_dTstar_3333(k,k,m,m) - 1.0_pReal/3.0_pReal
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dLp_dTstar99 = math_Plain3333to99(gamma_dot / prm%fTaylor * &
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dLp_dTstar_3333 / norm_Tstar_dev)
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dLp_dMp(k,k,m,m) = dLp_dMp(k,k,m,m) - 1.0_pReal/3.0_pReal
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dLp_dMp = gamma_dot / prm%fTaylor * dLp_dMp / norm_Mp_dev
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end if
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end associate
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@ -324,7 +317,7 @@ end subroutine plastic_isotropic_LpAndItsTangent
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates plastic velocity gradient and its tangent
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!--------------------------------------------------------------------------------------------------
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subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar_3333,Tstar_v,ipc,ip,el)
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subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar,Tstar,ipc,ip,el)
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use math, only: &
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math_mul6x6, &
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math_Mandel6to33, &
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@ -340,16 +333,16 @@ subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar_3333,Tstar_v,ipc,ip,e
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real(pReal), dimension(3,3), intent(out) :: &
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Li !< plastic velocity gradient
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real(pReal), dimension(3,3,3,3), intent(out) :: &
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dLi_dTstar_3333 !< derivative of Li with respect to Tstar as 4th order tensor
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real(pReal), dimension(6), intent(in) :: &
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Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
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dLi_dTstar !< derivative of Li with respect to Tstar as 4th order tensor
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real(pReal), dimension(3,3), intent(in) :: &
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Tstar !< 2nd Piola Kirchhoff stress tensor in Mandel notation
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integer(pInt), intent(in) :: &
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ipc, & !< component-ID of integration point
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ip, & !< integration point
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el !< element
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real(pReal), dimension(3,3) :: &
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Tstar_sph_33 !< sphiatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor
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Tstar_sph !< sphiatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor
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real(pReal) :: &
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gamma_dot, & !< strainrate
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norm_Tstar_sph, & !< euclidean norm of Tstar_sph
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@ -362,30 +355,28 @@ subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar_3333,Tstar_v,ipc,ip,e
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instance = phase_plasticityInstance(material_phase(ipc,ip,el))
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associate(prm => param(instance))
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Tstar_sph_33 = math_spherical33(math_Mandel6to33(Tstar_v)) ! spherical part of 2nd Piola-Kirchhoff stress
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squarenorm_Tstar_sph = math_mul33xx33(Tstar_sph_33,Tstar_sph_33)
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Tstar_sph = math_spherical33(Tstar)
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squarenorm_Tstar_sph = math_mul33xx33(Tstar_sph,Tstar_sph)
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norm_Tstar_sph = sqrt(squarenorm_Tstar_sph)
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if (prm%dilatation .and. norm_Tstar_sph > 0.0_pReal) then ! Tstar == 0 or J2 plascitiy --> both Li and dLi_dTstar are zero
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if (prm%dilatation .and. norm_Tstar_sph > 0.0_pReal) then ! Tstar == 0 or J2 plascitiy --> both Li and dLi_dTstar are zero
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gamma_dot = prm%gdot0 &
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* (sqrt(1.5_pReal) * norm_Tstar_sph / prm%fTaylor / state(instance)%flowstress(of) ) &
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**prm%n
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Li = Tstar_sph_33/norm_Tstar_sph * gamma_dot/prm%fTaylor
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Li = Tstar_sph/norm_Tstar_sph * gamma_dot/prm%fTaylor
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!--------------------------------------------------------------------------------------------------
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! Calculation of the tangent of Li
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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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dLi_dTstar_3333(k,l,m,n) = (prm%n-1.0_pReal) * &
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Tstar_sph_33(k,l)*Tstar_sph_33(m,n) / squarenorm_Tstar_sph
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dLi_dTstar(k,l,m,n) = (prm%n-1.0_pReal) * Tstar_sph(k,l)*Tstar_sph(m,n) / squarenorm_Tstar_sph
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forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) &
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dLi_dTstar_3333(k,l,k,l) = dLi_dTstar_3333(k,l,k,l) + 1.0_pReal
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dLi_dTstar(k,l,k,l) = dLi_dTstar(k,l,k,l) + 1.0_pReal
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dLi_dTstar_3333 = gamma_dot / prm%fTaylor * &
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dLi_dTstar_3333 / norm_Tstar_sph
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dLi_dTstar = gamma_dot / prm%fTaylor * dLi_dTstar / norm_Tstar_sph
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else
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Li = 0.0_pReal
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dLi_dTstar_3333 = 0.0_pReal
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Li = 0.0_pReal
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dLi_dTstar = 0.0_pReal
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endif
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end associate
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