Crack paths in sheets of brittle material

Abstract In this paper a new method based on the maximum tensile stress criterion is proposed in order to predict the crack paths in sheets of brittle materials under biaxial loading. The proposed approach allows to obtain the crack trajectory avoiding integral representations and is more simple and direct that the perturbation techniques introduced in [34–37]. Moreover, the above method takes into account of some experimental features concerning the asymptotic behaviour of crack paths. In view of applications to slightly curved cracks, the knowledge of the stress intensity factors K I and II is needed and in this aim the perturbation method of [37] is used for a slightly curved elliptical arc crack.

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