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

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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.
34 pages

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Analysis of PDEs, 35R35; 74R10, 35J25

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http://salesiana.dossiersoluciones.com/handle/123456789/66687

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303040
 http://arxiv.org/abs/math/0303040

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arXiv