A new analytical generalization of the J and G-theta integrals for planar cracks in a three-dimensional medium
Résumé
This paper focuses on the theoretical and numerical development of the J-integral concept for three-dimensional problems. A new integral parameter, developed for the real three-dimensional case, computes the combined energy release rate for an arbitrary crack front. A path-independent integral is verified in both the static and crack propagation cases. Generalization of the í µí°½ "#-integral toward its í µí°º % "# implementation form is performed. The efficiency of this proposed integral is then compared with a number of í µí°½ integrals available in the literature. Lastly, the paper offers a finite element implementation along with its numerical validation.
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