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On the path of a quasi-static crack in mode III. (English) Zbl 1060.74059

Summary: A method for finding the path of a quasi-static crack growing in a brittle body is presented. The propagation process is modelled by a sequence of discrete steps optimizing the elastic energy released. An explicit relationship between the optimal growing direction and the parameters defining the local elastic field around the tip is obtained for an anti-plane field. This allows to describe a simple algorithm to compute the crack path.

MSC:

74R10 Brittle fracture
74B05 Classical linear elasticity
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