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added strain decomposition to uncouple damage from negative hydrostatic part

This commit is contained in:
Luv Sharma 2014-08-08 15:37:32 +00:00
parent a78408f4a8
commit c4b9ddf45d
2 changed files with 39 additions and 9 deletions
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34
code/constitutive.f90
View File

@ -455,7 +455,8 @@ subroutine constitutive_hooke_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el)
math_mul3333xx33, & math_mul3333xx33, &
math_Mandel66to3333, & math_Mandel66to3333, &
math_transpose33, & math_transpose33, &
MATH_I3 MATH_I3, &
math_trace33
use material, only: & use material, only: &
mappingConstitutive mappingConstitutive
use lattice, only: & use lattice, only: &
@ -479,21 +480,42 @@ subroutine constitutive_hooke_TandItsTangent(T, dT_dFe, Fe, ipc, ip, el)
dT_dFe !< dT/dFe dT_dFe !< dT/dFe
integer(pInt) :: i, j, k, l integer(pInt) :: i, j, k, l
real(pReal), dimension(3,3) :: FeT real(pReal), dimension(3,3) :: FeT,strain, CxxDel, CxxDel_undamaged
real(pReal), dimension(3,3,3,3) :: C real(pReal), dimension(3,3,3,3) :: C, C_undamged
real(pReal) :: strain_trace
C = constitutive_damageValue(ipc,ip,el)*& C_undamged = math_Mandel66to3333(constitutive_homogenizedC(ipc,ip,el))
C = constitutive_damageValue(ipc,ip,el)*&
math_Mandel66to3333(constitutive_homogenizedC(ipc,ip,el)) math_Mandel66to3333(constitutive_homogenizedC(ipc,ip,el))
FeT = math_transpose33(Fe) FeT = math_transpose33(Fe)
T = math_mul3333xx33(C,0.5_pReal*(math_mul33x33(FeT,Fe)-MATH_I3) - & strain = 0.5_pReal*(math_mul33x33(FeT,Fe)-MATH_I3)
strain_trace = math_trace33(strain)
if(strain_trace>=0.0_pReal) then
T = math_mul3333xx33(C,strain) - &
lattice_thermalExpansion33(1:3,1:3,mappingConstitutive(2,ipc,ip,el))* & lattice_thermalExpansion33(1:3,1:3,mappingConstitutive(2,ipc,ip,el))* &
(constitutive_temperature(ipc,ip,el) - & (constitutive_temperature(ipc,ip,el) - &
lattice_referenceTemperature(mappingConstitutive(2,ipc,ip,el)))) lattice_referenceTemperature(mappingConstitutive(2,ipc,ip,el)))
dT_dFe = 0.0_pReal dT_dFe = 0.0_pReal
forall (i=1_pInt:3_pInt, j=1_pInt:3_pInt, k=1_pInt:3_pInt, l=1_pInt:3_pInt) & forall (i=1_pInt:3_pInt, j=1_pInt:3_pInt, k=1_pInt:3_pInt, l=1_pInt:3_pInt) &
dT_dFe(i,j,k,l) = math_mul3x3(C(i,j,l,1:3),Fe(k,1:3)) ! dT*_ij/dFe_kl dT_dFe(i,j,k,l) = math_mul3x3(C(i,j,l,1:3),Fe(k,1:3)) ! dT*_ij/dFe_kl
else
strain = strain - (strain_trace/3)*math_I3 ! removing (negative) volumetric part
T = math_mul3333xx33(C,strain) + &
math_mul3333xx33(C_undamged,((strain_trace/3)*math_I3 )) - &
lattice_thermalExpansion33(1:3,1:3,mappingConstitutive(2,ipc,ip,el))* &
(constitutive_temperature(ipc,ip,el) - &
lattice_referenceTemperature(mappingConstitutive(2,ipc,ip,el)))
CxxDel = math_mul3333xx33(C,math_I3) ! temporary variable C_ijxy * del_xy (damaged part)
CxxDel_undamaged = math_mul3333xx33(C_undamged,math_I3) ! temporary variable C_ijxy * del_xy (Undamaged part)
forall (i=1_pInt:3_pInt, j=1_pInt:3_pInt, k=1_pInt:3_pInt, l=1_pInt:3_pInt) &
dT_dFe(i,j,k,l) = math_mul3x3(C(i,j,l,1:3),Fe(k,1:3)) - &
0.5*CxxDel(i,j)*Fe(k,l) + &
0.5*CxxDel_undamaged(i,j)*Fe(k,l) ! dT*_ij/dFe_kl = C_ijlt*Fe_kt - 0.5*Cxxdel_ij*Fe_kl
endif
end subroutine constitutive_hooke_TandItsTangent end subroutine constitutive_hooke_TandItsTangent

12
code/damage_gradient.f90
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@ -287,14 +287,22 @@ subroutine damage_gradient_microstructure(Tstar_v, Fe, ipc, ip, el)
integer(pInt) :: & integer(pInt) :: &
phase, constituent phase, constituent
real(pReal) :: & real(pReal) :: &
strainEnergy, strain(3,3) strainEnergy, strain(3,3),strain_trace
phase = mappingConstitutive(2,ipc,ip,el) phase = mappingConstitutive(2,ipc,ip,el)
constituent = mappingConstitutive(1,ipc,ip,el) constituent = mappingConstitutive(1,ipc,ip,el)
strain = 0.5_pReal*(math_mul33x33(math_transpose33(Fe),Fe)-math_I3) strain = 0.5_pReal*(math_mul33x33(math_transpose33(Fe),Fe)-math_I3)
strainEnergy = 0.5_pReal*sum(strain*math_mul3333xx33(math_Mandel66to3333(lattice_C66(1:6,1:6,phase)), & strain_trace = math_trace33(strain)
if(strain_trace < 0.0_pReal) then
strain = strain - (strain_trace/3.0_pReal)*math_I3
strainEnergy = 0.5_pReal*sum(strain*math_mul3333xx33(math_Mandel66to3333(lattice_C66(1:6,1:6,phase)), &
strain ))
else
strainEnergy = 0.5_pReal*sum(strain*math_mul3333xx33(math_Mandel66to3333(lattice_C66(1:6,1:6,phase)), &
strain)) strain))
endif
damageState(phase)%state(2,constituent) = abs(strainEnergy)/ & damageState(phase)%state(2,constituent) = abs(strainEnergy)/ &
(math_trace33(lattice_surfaceEnergy33(1:3,1:3,phase))/3.0_pReal) + & (math_trace33(lattice_surfaceEnergy33(1:3,1:3,phase))/3.0_pReal) + &