@article{oai:uec.repo.nii.ac.jp:00009673, author = {Okada, Hiroshi and Ishizaka, Tatsuro and Takahashi, Akira and Arai, Koichiro and Yusa, Yasunori}, journal = {Engineering Fracture Mechanics}, month = {Sep}, note = {In this paper, a 3D J-integral based on the domain integral approach is presented for large deformation elastic–plastic fracture mechanics problems associated with residual stresses and spatially varying mechanical properties of a material. The proposed 3D J-integral has physical significance as the energy dissipation into the process zone. The derivations of the proposed J-integral are presented in detail. Through numerical examples, it is shown that the proposed J-integral is unconditionally path independent. The present formulation is a rigorous extension of the 2D-Tε* integral of Okada and Atluri to 3D.}, title = {3D J-integral evaluation for solids undergoing large elastic–plastic deformations with residual stresses and spatially varying mechanical properties of a material}, volume = {236}, year = {2020} }