Discontinuous finite element approximation of quasistatic crack growth in finite elasticity

Details Discontinuous finite element approximation of quasistatic crack growth in finite elasticity Discontinuous finite element approximation of quasistatic crack growth in finite elasticity

2004-01-27

arxiv.org/abs/math/0401383v1

Mathematics

Analysis of PDEs

31 pages, 2 figures

Scientific paper

We propose a time-space discretization of a general notion of quasistatic growth of brittle fractures in elastic bodies proposed in [13] by G. Dal Maso, G.A. Francfort, and R. Toader, which takes into account body forces and surface loads. We employ adaptive triangulations and prove convergence results for the total, elastic and surface energies. In the case in which the elastic energy is strictly convex, we prove also a convergence result for the deformations.

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