Abstract

In this paper, the stress intensity factors of interacting kinked cracks in a solid and the overall strains of the solid under uniaxial tension are determined numerically. The kinked cracks are in general asymmetric, unequal, and arbitrarily oriented and located in the solid. Each kinked crack, assumed to be traction free, consists of a main crack and kinks. The analysis makes use of the dislocation modeling of kinks, and the superposition of problems of straight cracks subjected to dislocation and traction loadings. The model is used to investigate the dependence of the stress intensity factors and the overall strains on crack geometry (straight, Z-shaped and U-shaped cracks) and crack configuration (collinear and stacked cracks, periodic and random crack arrays).

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