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

2003/04/16 by Alessandro Giacomini, A. Giacomini, Giacomini, A. +3
Computer Science · Engineering · Mathematics · #35A35 #35J25 #35R35 #65L60 #74R10 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #math.AP #msc:35A35 #msc:35J25 #msc:35R35 #msc:65L60 #msc:74R10

paper · pdf · doi:10.48550/arxiv.math/0304224

34 pages, 4 figures

arxiv created 2003/04/16 · openalex publication_date 2003/04/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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