Inserted: 16 apr 2003
Last Updated: 27 jan 2004
Journal: Numer. Funct. Anal. Optim
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