dPdF calculations made consistent with constitutive_TandItsTangent
This commit is contained in:
Pratheek Shanthraj
parent
8a2f2c5a95
commit
131c9ac93e
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@ -483,7 +483,6 @@ use math, only: math_inv33, &
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math_Mandel6to33, &
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math_Mandel33to6, &
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math_I3, &
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math_Mandel66to3333, &
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math_mul3333xx3333
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use FEsolving, only: FEsolving_execElem, &
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FEsolving_execIP
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@ -500,7 +499,8 @@ use constitutive, only: constitutive_sizeState, &
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constitutive_partionedState0, &
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constitutive_homogenizedC, &
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constitutive_dotState, &
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constitutive_dotState_backup
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constitutive_dotState_backup, &
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constitutive_TandItsTangent
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implicit none
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!*** input variables ***!
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@ -541,9 +541,9 @@ logical, dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
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convergenceFlag_backup
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! local variables used for calculating analytic Jacobian
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real(pReal), dimension(3,3):: Fpinv_rate, &
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FDot_inv
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real(pReal), dimension(3,3,3,3) :: C, &
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dSdFe, &
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FDot_inv, &
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junk
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real(pReal), dimension(3,3,3,3) :: dSdFe, &
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dFedF, &
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dFedFdot, &
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dSdF, &
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@ -931,22 +931,20 @@ if(updateJaco) then
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crystallite_P = P_backup
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crystallite_converged = convergenceFlag_backup
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else ! Calculate Jacobian using analytical expression
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else ! Calculate Jacobian using analytical expression
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! --- CALCULATE ANALYTIC dPdF ---
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!$OMP PARALLEL DO PRIVATE(dFedF,dSdF,dSdFe,myNgrains,C)
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!$OMP PARALLEL DO PRIVATE(dFedF,dSdF,dSdFe,myNgrains)
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do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
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myNgrains = homogenization_Ngrains(mesh_element(3,e))
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do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
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do g = 1_pInt,myNgrains
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C = math_Mandel66to3333(constitutive_homogenizedC(g,i,e))
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dFedF = 0.0_pReal
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do p=1_pInt,3_pInt; do o=1_pInt,3_pInt
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dFedF(p,o,o,1:3) = crystallite_invFp(1:3,p,g,i,e) ! dFe_ij/dF_kl = dF_im/dF_kl * (Fp current^-1)_mj
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dSdFe(o,p,1:3,1:3) = math_mul33x33(C(o,p,1:3,1:3), &
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math_transpose33(crystallite_subFe0(1:3,1:3,g,i,e))) ! dS_ij/dFe_kl
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enddo; enddo
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dFedF(p,o,o,1:3) = crystallite_invFp(1:3,p,g,i,e) ! dFe^T_ij/dF_kl = delta_jk * (Fp current^-1)_li
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enddo; enddo
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call constitutive_TandItsTangent(junk,dSdFe,crystallite_subFe0(1:3,1:3,g,i,e),g,i,e) ! call constitutive law to calculate 2nd Piola-Kirchhoff stress and its derivative
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dSdF = math_mul3333xx3333(dSdFe,dFedF) ! dS/dF = dS/dFe * dFe/dF
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do p=1_pInt,3_pInt; do o=1_pInt,3_pInt
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crystallite_dPdF(1:3,1:3,o,p,g,i,e) = math_mul33x33(math_mul33x33(dFedF(1:3,1:3,o,p),&
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@ -960,12 +958,11 @@ if(updateJaco) then
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endif
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if (rate_sensitivity) then
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!$OMP PARALLEL DO PRIVATE(dFedFdot,dSdFdot,dSdFe,Fpinv_rate,FDot_inv,counter,dFp_invdFdot,C,myNgrains)
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!$OMP PARALLEL DO PRIVATE(dFedFdot,dSdFdot,dSdFe,Fpinv_rate,FDot_inv,counter,dFp_invdFdot,myNgrains)
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do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
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myNgrains = homogenization_Ngrains(mesh_element(3,e))
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do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
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do g = 1_pInt,myNgrains
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C = math_Mandel66to3333(constitutive_homogenizedC(g,i,e))
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Fpinv_rate = math_mul33x33(crystallite_invFp(1:3,1:3,g,i,e),crystallite_Lp(1:3,1:3,g,i,e)) ! dFp^-1 = dFp^-1/dt *dt... dFp may overshoot dF by small ammount as
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FDot_inv = crystallite_subF(1:3,1:3,g,i,e) - crystallite_F0(1:3,1:3,g,i,e)
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counter = 0.0_pReal
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@ -979,24 +976,23 @@ if(updateJaco) then
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enddo; enddo
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if (counter .gt. 0.0_pReal) FDot_inv = FDot_inv/counter
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do p=1_pInt,3_pInt; do o=1_pInt,3_pInt
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dFp_invdFdot(o,p,1:3,1:3) = Fpinv_rate(o,p)*FDot_inv ! dFe_ij/dF_kl = dF_im/dF_kl * (Fp current^-1)_mj
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dSdFe(o,p,1:3,1:3) = math_mul33x33(C(o,p,1:3,1:3), &
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math_transpose33(crystallite_subFe0(1:3,1:3,g,i,e))) ! dS_ij/dFe_kl
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dFp_invdFdot(o,p,1:3,1:3) = Fpinv_rate(o,p)*FDot_inv
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enddo; enddo
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do p=1_pInt,3_pInt; do o=1_pInt,3_pInt
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dFedFdot(1:3,1:3,o,p) = math_transpose33(math_mul33x33(crystallite_subF(1:3,1:3,g,i,e), &
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dFp_invdFdot(1:3,1:3,o,p)))
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enddo; enddo
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call constitutive_TandItsTangent(junk,dSdFe,crystallite_subFe0(1:3,1:3,g,i,e),g,i,e) ! call constitutive law to calculate 2nd Piola-Kirchhoff stress and its derivative
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dSdFdot = math_mul3333xx3333(dSdFe,dFedFdot)
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do p=1_pInt,3_pInt; do o=1_pInt,3_pInt
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crystallite_dPdF(1:3,1:3,o,p,g,i,e) = crystallite_dPdF(1:3,1:3,o,p,g,i,e) - &
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(math_mul33x33(math_mul33x33(dFedFdot(1:3,1:3,o,p), &
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math_Mandel6to33(crystallite_Tstar_v)),math_transpose33( &
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crystallite_invFp(1:3,1:3,g,i,e))) + & ! dP/dF = dFe/dFdot * S * Fp^-T...
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crystallite_invFp(1:3,1:3,g,i,e))) + & ! dP/dFdot = dFe/dFdot * S * Fp^-T...
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math_mul33x33(math_mul33x33(crystallite_subFe0(1:3,1:3,g,i,e), &
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math_Mandel6to33(crystallite_Tstar_v)),math_transpose33(dFp_invdFdot(1:3,1:3,o,p))) & ! + Fe * S * dFp^-T/dFdot...
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math_Mandel6to33(crystallite_Tstar_v)),math_transpose33(dFp_invdFdot(1:3,1:3,o,p))) & ! + Fe * S * dFp^-T/dFdot...
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+ math_mul33x33(crystallite_subFe0(1:3,1:3,g,i,e), &
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math_mul33x33(dSdFdot(1:3,1:3,o,p),math_transpose33(crystallite_invFp(1:3,1:3,g,i,e))))) ! + Fe * dS/dFdot * Fp^-T
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math_mul33x33(dSdFdot(1:3,1:3,o,p),math_transpose33(crystallite_invFp(1:3,1:3,g,i,e))))) ! + Fe * dS/dFdot * Fp^-T
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enddo; enddo
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enddo; enddo; enddo
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!$OMP END PARALLEL DO
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