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

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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.
34 pages, 4 figures

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Analysis of PDEs, 35R35, 35J25, 74R10, 35A35, 65L60

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http://salesiana.dossiersoluciones.com/handle/123456789/67107

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304224
 http://arxiv.org/abs/math/0304224

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arXiv