Abstract
According to an approach recently proposed[5], this analysis includes the second-order approximation in order to obtain the deviation of the extended crack tip from the original direction. The dependence of the curvature on the crack path upon the inplane stress fields and the derivatives of the stress intensity factors with respect to the original crack length is shown. In particular, the analysis indicates that, for some values of the above-mentioned parameters, an asymptote perpendicular to the original crack direction occurs which specifies the unstable behaviour of the crack path. In addition, the asymptotic crack path behaviour is obtained to the same order of approximation when stability is assumed.
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