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In this paper, we first discuss the several known methods to obtain the energy release rate by numerical analysis. After detailed discussions on the path-independent E-integral, we compute the energy release rate at the onset of crack kinking in an infinite medium subjected to a remote inclined load under the anti-plane shear and the plane stress condition ; for such cases, the well-known J-integral is not very useful in obtaining the energy release rate with a high accuracy. Our numerical results agree well with the exact solution for the anti-plane shear condition and also agree well with the published approximate solutions for the plane stress condition

Finite-Element Analysis for Energy Release Rate at the Onset of Crack Kinking under Inclined Load Using the E-Integral.