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

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

2003-04-16

arxiv.org/abs/math/0304224v1

Mathematics

Analysis of PDEs

34 pages, 4 figures

Scientific paper

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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