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Abstract 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… Click to show full abstract
Abstract 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- T e ∗ integral of Okada and Atluri to 3D.
Journal Title: Engineering Fracture Mechanics
Year Published: 2020
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