diff --git a/src/constitutive.f90 b/src/constitutive.f90 index ce98ced36..7d57299ee 100644 --- a/src/constitutive.f90 +++ b/src/constitutive.f90 @@ -479,8 +479,7 @@ subroutine constitutive_LpAndItsTangents(Lp, dLp_dS, dLp_dFi, S6, Fi, ipc, ip, e dLp_dMp = 0.0_pReal case (PLASTICITY_ISOTROPIC_ID) plasticityType - call plastic_isotropic_LpAndItsTangent (Lp,dLp_dMp99, math_Mandel33to6(Mp),ipc,ip,el) - dLp_dMp = math_Plain99to3333(dLp_dMp99) ! ToDo: We revert here the last statement in plastic_xx_LpAndItsTanget + call plastic_isotropic_LpAndItsTangent (Lp,dLp_dMp,Mp,ipc,ip,el) case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType of = phasememberAt(ipc,ip,el) @@ -527,6 +526,7 @@ end subroutine constitutive_LpAndItsTangents !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the velocity gradient +! ToDo: MD: S is Mi? !-------------------------------------------------------------------------------------------------- subroutine constitutive_LiAndItsTangents(Li, dLi_dS, dLi_dFi, S6, Fi, ipc, ip, el) use prec, only: & @@ -535,7 +535,8 @@ subroutine constitutive_LiAndItsTangents(Li, dLi_dS, dLi_dFi, S6, Fi, ipc, ip, e math_I3, & math_inv33, & math_det33, & - math_mul33x33 + math_mul33x33, & + math_Mandel6to33 use material, only: & phase_plasticity, & material_phase, & @@ -588,7 +589,7 @@ subroutine constitutive_LiAndItsTangents(Li, dLi_dS, dLi_dFi, S6, Fi, ipc, ip, e plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el))) case (PLASTICITY_isotropic_ID) plasticityType - call plastic_isotropic_LiAndItsTangent(my_Li, my_dLi_dS, S6, ipc, ip, el) + call plastic_isotropic_LiAndItsTangent(my_Li, my_dLi_dS, math_Mandel6to33(S6), ipc, ip, el) case default plasticityType my_Li = 0.0_pReal my_dLi_dS = 0.0_pReal diff --git a/src/plastic_isotropic.f90 b/src/plastic_isotropic.f90 index da7f5cc0f..ce748212d 100644 --- a/src/plastic_isotropic.f90 +++ b/src/plastic_isotropic.f90 @@ -231,7 +231,7 @@ end subroutine plastic_isotropic_init !-------------------------------------------------------------------------------------------------- !> @brief calculates plastic velocity gradient and its tangent !-------------------------------------------------------------------------------------------------- -subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el) +subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,ipc,ip,el) use debug, only: & debug_level, & debug_constitutive, & @@ -242,9 +242,6 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el) debug_i, & debug_g use math, only: & - math_mul6x6, & - math_Mandel6to33, & - math_Plain3333to99, & math_deviatoric33, & math_mul33xx33 use material, only: & @@ -253,13 +250,13 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el) phase_plasticityInstance implicit none - real(pReal), dimension(3,3), intent(out) :: & + 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 2nd Piola Kirchhoff stress + real(pReal), dimension(3,3,3,3), intent(out) :: & + dLp_dMp !< derivative of Lp with respect to the Mandel stress - real(pReal), dimension(6), intent(in) :: & - Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation + real(pReal), dimension(3,3), intent(in) :: & + Mp integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point @@ -267,13 +264,11 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el) real(pReal), dimension(3,3) :: & - Tstar_dev_33 !< deviatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor - real(pReal), dimension(3,3,3,3) :: & - dLp_dTstar_3333 !< derivative of Lp with respect to Tstar as 4th order tensor + Mp_dev !< deviatoric part of the Mandel stress real(pReal) :: & gamma_dot, & !< strainrate - norm_Tstar_dev, & !< euclidean norm of Tstar_dev - squarenorm_Tstar_dev !< square of the euclidean norm of Tstar_dev + norm_Mp_dev, & !< euclidean norm of the Mandel stress + squarenorm_Mp_dev !< square of the euclidean norm of the Mandel stress integer(pInt) :: & instance, of, & k, l, m, n @@ -282,40 +277,38 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el) instance = phase_plasticityInstance(material_phase(ipc,ip,el)) associate(prm => param(instance)) - Tstar_dev_33 = math_deviatoric33(math_Mandel6to33(Tstar_v)) ! deviatoric part of 2nd Piola-Kirchhoff stress - squarenorm_Tstar_dev = math_mul33xx33(Tstar_dev_33,Tstar_dev_33) - norm_Tstar_dev = sqrt(squarenorm_Tstar_dev) + Mp_dev = math_deviatoric33(Mp) + squarenorm_Mp_dev = math_mul33xx33(Mp_dev,Mp_dev) + norm_Mp_dev = sqrt(squarenorm_Mp_dev) - if (norm_Tstar_dev <= 0.0_pReal) then ! Tstar == 0 --> both Lp and dLp_dTstar are zero + if (norm_Mp_dev <= 0.0_pReal) then Lp = 0.0_pReal - dLp_dTstar99 = 0.0_pReal + dLp_dMp = 0.0_pReal else gamma_dot = prm%gdot0 & - * ( sqrt(1.5_pReal) * norm_Tstar_dev / prm%fTaylor / state(instance)%flowstress(of) ) & + * ( sqrt(1.5_pReal) * norm_Mp_dev / prm%fTaylor / state(instance)%flowstress(of) ) & **prm%n - Lp = Tstar_dev_33/norm_Tstar_dev * gamma_dot/prm%fTaylor + Lp = Mp_dev/norm_Mp_dev * gamma_dot/prm%fTaylor if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0_pInt & .and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) & .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0_pInt)) then write(6,'(a,i8,1x,i2,1x,i3)') '<< CONST isotropic >> at el ip g ',el,ip,ipc write(6,'(/,a,/,3(12x,3(f12.4,1x)/))') '<< CONST isotropic >> Tstar (dev) / MPa', & - transpose(Tstar_dev_33(1:3,1:3))*1.0e-6_pReal - write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> norm Tstar / MPa', norm_Tstar_dev*1.0e-6_pReal + transpose(Mp_dev)*1.0e-6_pReal + write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> norm Tstar / MPa', norm_Mp_dev*1.0e-6_pReal write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> gdot', gamma_dot end if !-------------------------------------------------------------------------------------------------- ! 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_dTstar_3333(k,l,m,n) = (prm%n-1.0_pReal) * & - Tstar_dev_33(k,l)*Tstar_dev_33(m,n) / squarenorm_Tstar_dev + dLp_dMp(k,l,m,n) = (prm%n-1.0_pReal) * Mp_dev(k,l)*Mp_dev(m,n) / squarenorm_Mp_dev forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) & - dLp_dTstar_3333(k,l,k,l) = dLp_dTstar_3333(k,l,k,l) + 1.0_pReal + dLp_dMp(k,l,k,l) = dLp_dMp(k,l,k,l) + 1.0_pReal forall (k=1_pInt:3_pInt,m=1_pInt:3_pInt) & - dLp_dTstar_3333(k,k,m,m) = dLp_dTstar_3333(k,k,m,m) - 1.0_pReal/3.0_pReal - dLp_dTstar99 = math_Plain3333to99(gamma_dot / prm%fTaylor * & - dLp_dTstar_3333 / norm_Tstar_dev) + dLp_dMp(k,k,m,m) = dLp_dMp(k,k,m,m) - 1.0_pReal/3.0_pReal + dLp_dMp = gamma_dot / prm%fTaylor * dLp_dMp / norm_Mp_dev end if end associate @@ -324,7 +317,7 @@ end subroutine plastic_isotropic_LpAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief calculates plastic velocity gradient and its tangent !-------------------------------------------------------------------------------------------------- -subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar_3333,Tstar_v,ipc,ip,el) +subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar,Tstar,ipc,ip,el) use math, only: & math_mul6x6, & math_Mandel6to33, & @@ -340,16 +333,16 @@ subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar_3333,Tstar_v,ipc,ip,e real(pReal), dimension(3,3), intent(out) :: & Li !< plastic velocity gradient real(pReal), dimension(3,3,3,3), intent(out) :: & - dLi_dTstar_3333 !< derivative of Li with respect to Tstar as 4th order tensor - real(pReal), dimension(6), intent(in) :: & - Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation + dLi_dTstar !< derivative of Li with respect to Tstar as 4th order tensor + real(pReal), dimension(3,3), intent(in) :: & + Tstar !< 2nd Piola Kirchhoff stress tensor in Mandel notation integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), dimension(3,3) :: & - Tstar_sph_33 !< sphiatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor + Tstar_sph !< sphiatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor real(pReal) :: & gamma_dot, & !< strainrate norm_Tstar_sph, & !< euclidean norm of Tstar_sph @@ -362,30 +355,28 @@ subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar_3333,Tstar_v,ipc,ip,e instance = phase_plasticityInstance(material_phase(ipc,ip,el)) associate(prm => param(instance)) - Tstar_sph_33 = math_spherical33(math_Mandel6to33(Tstar_v)) ! spherical part of 2nd Piola-Kirchhoff stress - squarenorm_Tstar_sph = math_mul33xx33(Tstar_sph_33,Tstar_sph_33) + Tstar_sph = math_spherical33(Tstar) + squarenorm_Tstar_sph = math_mul33xx33(Tstar_sph,Tstar_sph) norm_Tstar_sph = sqrt(squarenorm_Tstar_sph) - if (prm%dilatation .and. norm_Tstar_sph > 0.0_pReal) then ! Tstar == 0 or J2 plascitiy --> both Li and dLi_dTstar are zero + if (prm%dilatation .and. norm_Tstar_sph > 0.0_pReal) then ! Tstar == 0 or J2 plascitiy --> both Li and dLi_dTstar are zero gamma_dot = prm%gdot0 & * (sqrt(1.5_pReal) * norm_Tstar_sph / prm%fTaylor / state(instance)%flowstress(of) ) & **prm%n - Li = Tstar_sph_33/norm_Tstar_sph * gamma_dot/prm%fTaylor + Li = Tstar_sph/norm_Tstar_sph * gamma_dot/prm%fTaylor !-------------------------------------------------------------------------------------------------- ! Calculation of the tangent of Li forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & - dLi_dTstar_3333(k,l,m,n) = (prm%n-1.0_pReal) * & - Tstar_sph_33(k,l)*Tstar_sph_33(m,n) / squarenorm_Tstar_sph + dLi_dTstar(k,l,m,n) = (prm%n-1.0_pReal) * Tstar_sph(k,l)*Tstar_sph(m,n) / squarenorm_Tstar_sph forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) & - dLi_dTstar_3333(k,l,k,l) = dLi_dTstar_3333(k,l,k,l) + 1.0_pReal + dLi_dTstar(k,l,k,l) = dLi_dTstar(k,l,k,l) + 1.0_pReal - dLi_dTstar_3333 = gamma_dot / prm%fTaylor * & - dLi_dTstar_3333 / norm_Tstar_sph + dLi_dTstar = gamma_dot / prm%fTaylor * dLi_dTstar / norm_Tstar_sph else - Li = 0.0_pReal - dLi_dTstar_3333 = 0.0_pReal + Li = 0.0_pReal + dLi_dTstar = 0.0_pReal endif end associate