Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures

Giacomini, Alessandro
February 2005
Calculus of Variations & Partial Differential Equations;Feb2005, Vol. 22 Issue 2, p129
Academic Journal
We define a notion of quasistatic 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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