polishing
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@ -1250,97 +1250,97 @@ function crystallite_stressTangent(co,ip,el) result(dPdF)
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pp = material_phaseAt(co,el)
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m = material_phaseMemberAt(co,ip,el)
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call constitutive_hooke_SandItsTangents(devNull,dSdFe,dSdFi, &
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crystallite_Fe(1:3,1:3,co,ip,el), &
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constitutive_mech_Fi(pp)%data(1:3,1:3,m),co,ip,el)
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call constitutive_LiAndItsTangents(devNull,dLidS,dLidFi, &
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crystallite_S (1:3,1:3,co,ip,el), &
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constitutive_mech_Fi(pp)%data(1:3,1:3,m), &
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co,ip,el)
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call constitutive_hooke_SandItsTangents(devNull,dSdFe,dSdFi, &
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crystallite_Fe(1:3,1:3,co,ip,el), &
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constitutive_mech_Fi(pp)%data(1:3,1:3,m),co,ip,el)
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call constitutive_LiAndItsTangents(devNull,dLidS,dLidFi, &
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crystallite_S (1:3,1:3,co,ip,el), &
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constitutive_mech_Fi(pp)%data(1:3,1:3,m), &
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co,ip,el)
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invFp = math_inv33(constitutive_mech_Fp(pp)%data(1:3,1:3,m))
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invFi = math_inv33(constitutive_mech_Fi(pp)%data(1:3,1:3,m))
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invSubFp0 = math_inv33(crystallite_subFp0(1:3,1:3,co,ip,el))
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invSubFi0 = math_inv33(crystallite_subFi0(1:3,1:3,co,ip,el))
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invFp = math_inv33(constitutive_mech_Fp(pp)%data(1:3,1:3,m))
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invFi = math_inv33(constitutive_mech_Fi(pp)%data(1:3,1:3,m))
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invSubFp0 = math_inv33(crystallite_subFp0(1:3,1:3,co,ip,el))
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invSubFi0 = math_inv33(crystallite_subFi0(1:3,1:3,co,ip,el))
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if (sum(abs(dLidS)) < tol_math_check) then
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dFidS = 0.0_pReal
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else
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lhs_3333 = 0.0_pReal; rhs_3333 = 0.0_pReal
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do o=1,3; do p=1,3
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lhs_3333(1:3,1:3,o,p) = lhs_3333(1:3,1:3,o,p) &
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+ crystallite_subdt(co,ip,el)*matmul(invSubFi0,dLidFi(1:3,1:3,o,p))
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lhs_3333(1:3,o,1:3,p) = lhs_3333(1:3,o,1:3,p) &
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+ invFi*invFi(p,o)
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rhs_3333(1:3,1:3,o,p) = rhs_3333(1:3,1:3,o,p) &
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- crystallite_subdt(co,ip,el)*matmul(invSubFi0,dLidS(1:3,1:3,o,p))
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enddo; enddo
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call math_invert(temp_99,error,math_3333to99(lhs_3333))
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if (error) then
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call IO_warning(warning_ID=600,el=el,ip=ip,g=co, &
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ext_msg='inversion error in analytic tangent calculation')
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dFidS = 0.0_pReal
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else
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dFidS = math_mul3333xx3333(math_99to3333(temp_99),rhs_3333)
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endif
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dLidS = math_mul3333xx3333(dLidFi,dFidS) + dLidS
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endif
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if (sum(abs(dLidS)) < tol_math_check) then
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dFidS = 0.0_pReal
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else
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lhs_3333 = 0.0_pReal; rhs_3333 = 0.0_pReal
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do o=1,3; do p=1,3
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lhs_3333(1:3,1:3,o,p) = lhs_3333(1:3,1:3,o,p) &
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+ crystallite_subdt(co,ip,el)*matmul(invSubFi0,dLidFi(1:3,1:3,o,p))
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lhs_3333(1:3,o,1:3,p) = lhs_3333(1:3,o,1:3,p) &
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+ invFi*invFi(p,o)
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rhs_3333(1:3,1:3,o,p) = rhs_3333(1:3,1:3,o,p) &
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- crystallite_subdt(co,ip,el)*matmul(invSubFi0,dLidS(1:3,1:3,o,p))
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enddo; enddo
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call math_invert(temp_99,error,math_3333to99(lhs_3333))
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if (error) then
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call IO_warning(warning_ID=600,el=el,ip=ip,g=co, &
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ext_msg='inversion error in analytic tangent calculation')
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dFidS = 0.0_pReal
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else
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dFidS = math_mul3333xx3333(math_99to3333(temp_99),rhs_3333)
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endif
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dLidS = math_mul3333xx3333(dLidFi,dFidS) + dLidS
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endif
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call constitutive_plastic_LpAndItsTangents(devNull,dLpdS,dLpdFi, &
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crystallite_S (1:3,1:3,co,ip,el), &
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constitutive_mech_Fi(pp)%data(1:3,1:3,m),co,ip,el)
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dLpdS = math_mul3333xx3333(dLpdFi,dFidS) + dLpdS
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call constitutive_plastic_LpAndItsTangents(devNull,dLpdS,dLpdFi, &
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crystallite_S (1:3,1:3,co,ip,el), &
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constitutive_mech_Fi(pp)%data(1:3,1:3,m),co,ip,el)
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dLpdS = math_mul3333xx3333(dLpdFi,dFidS) + dLpdS
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!--------------------------------------------------------------------------------------------------
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! calculate dSdF
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temp_33_1 = transpose(matmul(invFp,invFi))
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temp_33_2 = matmul(crystallite_subF(1:3,1:3,co,ip,el),invSubFp0)
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temp_33_3 = matmul(matmul(crystallite_subF(1:3,1:3,co,ip,el),invFp), invSubFi0)
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temp_33_1 = transpose(matmul(invFp,invFi))
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temp_33_2 = matmul(crystallite_subF(1:3,1:3,co,ip,el),invSubFp0)
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temp_33_3 = matmul(matmul(crystallite_subF(1:3,1:3,co,ip,el),invFp), invSubFi0)
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do o=1,3; do p=1,3
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rhs_3333(p,o,1:3,1:3) = matmul(dSdFe(p,o,1:3,1:3),temp_33_1)
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temp_3333(1:3,1:3,p,o) = matmul(matmul(temp_33_2,dLpdS(1:3,1:3,p,o)), invFi) &
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+ matmul(temp_33_3,dLidS(1:3,1:3,p,o))
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enddo; enddo
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lhs_3333 = crystallite_subdt(co,ip,el)*math_mul3333xx3333(dSdFe,temp_3333) &
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+ math_mul3333xx3333(dSdFi,dFidS)
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do o=1,3; do p=1,3
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rhs_3333(p,o,1:3,1:3) = matmul(dSdFe(p,o,1:3,1:3),temp_33_1)
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temp_3333(1:3,1:3,p,o) = matmul(matmul(temp_33_2,dLpdS(1:3,1:3,p,o)), invFi) &
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+ matmul(temp_33_3,dLidS(1:3,1:3,p,o))
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enddo; enddo
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lhs_3333 = crystallite_subdt(co,ip,el)*math_mul3333xx3333(dSdFe,temp_3333) &
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+ math_mul3333xx3333(dSdFi,dFidS)
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call math_invert(temp_99,error,math_eye(9)+math_3333to99(lhs_3333))
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if (error) then
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call IO_warning(warning_ID=600,el=el,ip=ip,g=co, &
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ext_msg='inversion error in analytic tangent calculation')
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dSdF = rhs_3333
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else
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dSdF = math_mul3333xx3333(math_99to3333(temp_99),rhs_3333)
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endif
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call math_invert(temp_99,error,math_eye(9)+math_3333to99(lhs_3333))
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if (error) then
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call IO_warning(warning_ID=600,el=el,ip=ip,g=co, &
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ext_msg='inversion error in analytic tangent calculation')
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dSdF = rhs_3333
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else
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dSdF = math_mul3333xx3333(math_99to3333(temp_99),rhs_3333)
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endif
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!--------------------------------------------------------------------------------------------------
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! calculate dFpinvdF
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temp_3333 = math_mul3333xx3333(dLpdS,dSdF)
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do o=1,3; do p=1,3
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dFpinvdF(1:3,1:3,p,o) = -crystallite_subdt(co,ip,el) &
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* matmul(invSubFp0, matmul(temp_3333(1:3,1:3,p,o),invFi))
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enddo; enddo
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temp_3333 = math_mul3333xx3333(dLpdS,dSdF)
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do o=1,3; do p=1,3
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dFpinvdF(1:3,1:3,p,o) = -crystallite_subdt(co,ip,el) &
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* matmul(invSubFp0, matmul(temp_3333(1:3,1:3,p,o),invFi))
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enddo; enddo
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!--------------------------------------------------------------------------------------------------
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! assemble dPdF
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temp_33_1 = matmul(crystallite_S(1:3,1:3,co,ip,el),transpose(invFp))
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temp_33_2 = matmul(invFp,temp_33_1)
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temp_33_3 = matmul(crystallite_subF(1:3,1:3,co,ip,el),invFp)
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temp_33_4 = matmul(temp_33_3,crystallite_S(1:3,1:3,co,ip,el))
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temp_33_1 = matmul(crystallite_S(1:3,1:3,co,ip,el),transpose(invFp))
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temp_33_2 = matmul(invFp,temp_33_1)
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temp_33_3 = matmul(crystallite_subF(1:3,1:3,co,ip,el),invFp)
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temp_33_4 = matmul(temp_33_3,crystallite_S(1:3,1:3,co,ip,el))
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dPdF = 0.0_pReal
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do p=1,3
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dPdF(p,1:3,p,1:3) = transpose(temp_33_2)
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enddo
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do o=1,3; do p=1,3
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dPdF(1:3,1:3,p,o) = dPdF(1:3,1:3,p,o) &
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+ matmul(matmul(crystallite_subF(1:3,1:3,co,ip,el), &
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dFpinvdF(1:3,1:3,p,o)),temp_33_1) &
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+ matmul(matmul(temp_33_3,dSdF(1:3,1:3,p,o)), &
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transpose(invFp)) &
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+ matmul(temp_33_4,transpose(dFpinvdF(1:3,1:3,p,o)))
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enddo; enddo
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dPdF = 0.0_pReal
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do p=1,3
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dPdF(p,1:3,p,1:3) = transpose(temp_33_2)
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enddo
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do o=1,3; do p=1,3
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dPdF(1:3,1:3,p,o) = dPdF(1:3,1:3,p,o) &
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+ matmul(matmul(crystallite_subF(1:3,1:3,co,ip,el), &
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dFpinvdF(1:3,1:3,p,o)),temp_33_1) &
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+ matmul(matmul(temp_33_3,dSdF(1:3,1:3,p,o)), &
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transpose(invFp)) &
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+ matmul(temp_33_4,transpose(dFpinvdF(1:3,1:3,p,o)))
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enddo; enddo
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end function crystallite_stressTangent
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@ -1385,14 +1385,16 @@ end subroutine crystallite_orientations
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!--------------------------------------------------------------------------------------------------
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function crystallite_push33ToRef(co,ip,el, tensor33)
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real(pReal), dimension(3,3) :: crystallite_push33ToRef
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real(pReal), dimension(3,3), intent(in) :: tensor33
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real(pReal), dimension(3,3) :: T
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integer, intent(in):: &
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el, &
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ip, &
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co
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real(pReal), dimension(3,3) :: crystallite_push33ToRef
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T = matmul(material_orientation0(co,ip,el)%asMatrix(), & ! ToDo: initial orientation correct?
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transpose(math_inv33(crystallite_subF(1:3,1:3,co,ip,el))))
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crystallite_push33ToRef = matmul(transpose(T),matmul(tensor33,T))
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@ -1410,6 +1412,7 @@ subroutine integrateSourceState(co,ip,el)
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el, & !< element index in element loop
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ip, & !< integration point index in ip loop
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co !< grain index in grain loop
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integer :: &
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NiterationState, & !< number of iterations in state loop
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ph, &
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@ -1426,6 +1429,7 @@ subroutine integrateSourceState(co,ip,el)
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logical :: &
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broken
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ph = material_phaseAt(co,el)
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c = material_phaseMemberAt(co,ip,el)
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@ -1185,16 +1185,15 @@ end subroutine integrateStateRKCK45
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!--------------------------------------------------------------------------------------------------
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subroutine integrateStateRK(co,ip,el,A,B,CC,DB)
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real(pReal), dimension(:,:), intent(in) :: A
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real(pReal), dimension(:), intent(in) :: B, CC
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real(pReal), dimension(:), intent(in), optional :: DB
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integer, intent(in) :: &
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el, & !< element index in element loop
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ip, & !< integration point index in ip loop
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co !< grain index in grain loop
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integer :: &
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integer :: &
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stage, & ! stage index in integration stage loop
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n, &
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ph, &
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@ -1202,7 +1201,8 @@ subroutine integrateStateRK(co,ip,el,A,B,CC,DB)
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sizeDotState
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logical :: &
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broken
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real(pReal), dimension(constitutive_plasticity_maxSizeDotState,size(B)) :: plastic_RKdotState
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real(pReal), dimension(constitutive_plasticity_maxSizeDotState,size(B)) :: plastic_RKdotState
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ph = material_phaseAt(co,el)
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me = material_phaseMemberAt(co,ip,el)
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