Calculus of Variations and Geometric Measure Theory

A. Giacomini - M. Ponsiglione

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

created on 16 Apr 2003
modified on 27 Jan 2004


Published Paper

Inserted: 16 apr 2003
Last Updated: 27 jan 2004

Journal: Numer. Funct. Anal. Optim
Number: 24
Pages: 813-850
Year: 2003


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.

Keywords: Brittle fracture, variational models, quasi-static evolution, free discontinuity problems