Ambrosio-Tortorelli Approximation of Quasi-Static Evolution of Brittle Fractures

Details Ambrosio-Tortorelli Approximation of Quasi-Static Evolution of Brittle Fractures Ambrosio-Tortorelli Approximation of Quasi-Static Evolution of Brittle Fractures

2003-03-04

arxiv.org/abs/math/0303040v1

Mathematics

Analysis of PDEs

34 pages

Scientific paper

We define a notion of quasi-static evolution for the elliptic approximation
of the Mumford-Shah functional proposed by Ambrosio and Tortorelli. Then we
prove that this regular evolution converges to a quasi-static growth of brittle
fractures in linearly elastic bodies.

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