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avoid conversion 33<->6 3333<->9

This commit is contained in:
Martin Diehl 2018-12-30 12:35:26 +01:00
parent a992b8b1f5
commit 8f99f1ce61
2 changed files with 41 additions and 49 deletions
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9
src/constitutive.f90
View File

@ -479,8 +479,7 @@ subroutine constitutive_LpAndItsTangents(Lp, dLp_dS, dLp_dFi, S6, Fi, ipc, ip, e
dLp_dMp = 0.0_pReal dLp_dMp = 0.0_pReal
case (PLASTICITY_ISOTROPIC_ID) plasticityType case (PLASTICITY_ISOTROPIC_ID) plasticityType
call plastic_isotropic_LpAndItsTangent (Lp,dLp_dMp99, math_Mandel33to6(Mp),ipc,ip,el) call plastic_isotropic_LpAndItsTangent (Lp,dLp_dMp,Mp,ipc,ip,el)
dLp_dMp = math_Plain99to3333(dLp_dMp99) ! ToDo: We revert here the last statement in plastic_xx_LpAndItsTanget
case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType
of = phasememberAt(ipc,ip,el) of = phasememberAt(ipc,ip,el)
@ -527,6 +526,7 @@ end subroutine constitutive_LpAndItsTangents
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief contains the constitutive equation for calculating the velocity gradient !> @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) subroutine constitutive_LiAndItsTangents(Li, dLi_dS, dLi_dFi, S6, Fi, ipc, ip, el)
use prec, only: & use prec, only: &
@ -535,7 +535,8 @@ subroutine constitutive_LiAndItsTangents(Li, dLi_dS, dLi_dFi, S6, Fi, ipc, ip, e
math_I3, & math_I3, &
math_inv33, & math_inv33, &
math_det33, & math_det33, &
math_mul33x33 math_mul33x33, &
math_Mandel6to33
use material, only: & use material, only: &
phase_plasticity, & phase_plasticity, &
material_phase, & 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))) plasticityType: select case (phase_plasticity(material_phase(ipc,ip,el)))
case (PLASTICITY_isotropic_ID) plasticityType 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 case default plasticityType
my_Li = 0.0_pReal my_Li = 0.0_pReal
my_dLi_dS = 0.0_pReal my_dLi_dS = 0.0_pReal

75
src/plastic_isotropic.f90
View File

@ -231,7 +231,7 @@ end subroutine plastic_isotropic_init
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent !> @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: & use debug, only: &
debug_level, & debug_level, &
debug_constitutive, & debug_constitutive, &
@ -242,9 +242,6 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el)
debug_i, & debug_i, &
debug_g debug_g
use math, only: & use math, only: &
math_mul6x6, &
math_Mandel6to33, &
math_Plain3333to99, &
math_deviatoric33, & math_deviatoric33, &
math_mul33xx33 math_mul33xx33
use material, only: & use material, only: &
@ -255,11 +252,11 @@ subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el)
implicit none implicit none
real(pReal), dimension(3,3), intent(out) :: & real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient Lp !< plastic velocity gradient
real(pReal), dimension(9,9), intent(out) :: & real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dTstar99 !< derivative of Lp with respect to 2nd Piola Kirchhoff stress dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(6), intent(in) :: & real(pReal), dimension(3,3), intent(in) :: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation Mp
integer(pInt), intent(in) :: & integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point ipc, & !< component-ID of integration point
ip, & !< 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) :: & real(pReal), dimension(3,3) :: &
Tstar_dev_33 !< deviatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor Mp_dev !< deviatoric part of the Mandel stress
real(pReal), dimension(3,3,3,3) :: &
dLp_dTstar_3333 !< derivative of Lp with respect to Tstar as 4th order tensor
real(pReal) :: & real(pReal) :: &
gamma_dot, & !< strainrate gamma_dot, & !< strainrate
norm_Tstar_dev, & !< euclidean norm of Tstar_dev norm_Mp_dev, & !< euclidean norm of the Mandel stress
squarenorm_Tstar_dev !< square of the euclidean norm of Tstar_dev squarenorm_Mp_dev !< square of the euclidean norm of the Mandel stress
integer(pInt) :: & integer(pInt) :: &
instance, of, & instance, of, &
k, l, m, n 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)) instance = phase_plasticityInstance(material_phase(ipc,ip,el))
associate(prm => param(instance)) associate(prm => param(instance))
Tstar_dev_33 = math_deviatoric33(math_Mandel6to33(Tstar_v)) ! deviatoric part of 2nd Piola-Kirchhoff stress Mp_dev = math_deviatoric33(Mp)
squarenorm_Tstar_dev = math_mul33xx33(Tstar_dev_33,Tstar_dev_33) squarenorm_Mp_dev = math_mul33xx33(Mp_dev,Mp_dev)
norm_Tstar_dev = sqrt(squarenorm_Tstar_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 Lp = 0.0_pReal
dLp_dTstar99 = 0.0_pReal dLp_dMp = 0.0_pReal
else else
gamma_dot = prm%gdot0 & 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 **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 & if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0_pInt &
.and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) & .and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) &
.or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0_pInt)) then .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,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', & 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 transpose(Mp_dev)*1.0e-6_pReal
write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> norm Tstar / MPa', norm_Tstar_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 write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> gdot', gamma_dot
end if end if
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! Calculation of the tangent of Lp ! 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) & 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) * & dLp_dMp(k,l,m,n) = (prm%n-1.0_pReal) * Mp_dev(k,l)*Mp_dev(m,n) / squarenorm_Mp_dev
Tstar_dev_33(k,l)*Tstar_dev_33(m,n) / squarenorm_Tstar_dev
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) & 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) & 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_dMp(k,k,m,m) = dLp_dMp(k,k,m,m) - 1.0_pReal/3.0_pReal
dLp_dTstar99 = math_Plain3333to99(gamma_dot / prm%fTaylor * & dLp_dMp = gamma_dot / prm%fTaylor * dLp_dMp / norm_Mp_dev
dLp_dTstar_3333 / norm_Tstar_dev)
end if end if
end associate end associate
@ -324,7 +317,7 @@ end subroutine plastic_isotropic_LpAndItsTangent
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent !> @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: & use math, only: &
math_mul6x6, & math_mul6x6, &
math_Mandel6to33, & 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) :: & real(pReal), dimension(3,3), intent(out) :: &
Li !< plastic velocity gradient Li !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: & real(pReal), dimension(3,3,3,3), intent(out) :: &
dLi_dTstar_3333 !< derivative of Li with respect to Tstar as 4th order tensor dLi_dTstar !< derivative of Li with respect to Tstar as 4th order tensor
real(pReal), dimension(6), intent(in) :: & real(pReal), dimension(3,3), intent(in) :: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation Tstar !< 2nd Piola Kirchhoff stress tensor in Mandel notation
integer(pInt), intent(in) :: & integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point ipc, & !< component-ID of integration point
ip, & !< integration point ip, & !< integration point
el !< element el !< element
real(pReal), dimension(3,3) :: & 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) :: & real(pReal) :: &
gamma_dot, & !< strainrate gamma_dot, & !< strainrate
norm_Tstar_sph, & !< euclidean norm of Tstar_sph norm_Tstar_sph, & !< euclidean norm of Tstar_sph
@ -362,8 +355,8 @@ subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar_3333,Tstar_v,ipc,ip,e
instance = phase_plasticityInstance(material_phase(ipc,ip,el)) instance = phase_plasticityInstance(material_phase(ipc,ip,el))
associate(prm => param(instance)) associate(prm => param(instance))
Tstar_sph_33 = math_spherical33(math_Mandel6to33(Tstar_v)) ! spherical part of 2nd Piola-Kirchhoff stress Tstar_sph = math_spherical33(Tstar)
squarenorm_Tstar_sph = math_mul33xx33(Tstar_sph_33,Tstar_sph_33) squarenorm_Tstar_sph = math_mul33xx33(Tstar_sph,Tstar_sph)
norm_Tstar_sph = sqrt(squarenorm_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
@ -371,21 +364,19 @@ subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar_3333,Tstar_v,ipc,ip,e
* (sqrt(1.5_pReal) * norm_Tstar_sph / prm%fTaylor / state(instance)%flowstress(of) ) & * (sqrt(1.5_pReal) * norm_Tstar_sph / prm%fTaylor / state(instance)%flowstress(of) ) &
**prm%n **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 ! 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) & 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) * & dLi_dTstar(k,l,m,n) = (prm%n-1.0_pReal) * Tstar_sph(k,l)*Tstar_sph(m,n) / squarenorm_Tstar_sph
Tstar_sph_33(k,l)*Tstar_sph_33(m,n) / squarenorm_Tstar_sph
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) & 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 = gamma_dot / prm%fTaylor * dLi_dTstar / norm_Tstar_sph
dLi_dTstar_3333 / norm_Tstar_sph
else else
Li = 0.0_pReal Li = 0.0_pReal
dLi_dTstar_3333 = 0.0_pReal dLi_dTstar = 0.0_pReal
endif endif
end associate end associate