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A discontinuous finite element approximation of quasi-static growth of brittle fractures

A. Giacomini·M. Ponsiglione
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Abstract

We propose a discontinuous finite element approximation for a model of quasi-static growth of brittle fractures in linearly elastic bodies formulated by Francfort and Marigo, and based on the classical Griffith's criterion. We restrict our analysis to the case of anti-planar shear and we consider discontinuous displacements which are piecewise affine with respect to a regular triangulation.

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A. Giacomini, M. Ponsiglione. 2003-04-16. A discontinuous finite element approximation of quasi-static growth of brittle fractures. https://arxiv.org/abs/math/0304224

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