Authors
Alessandro Giacomini
Publication date
2005/2
Journal
Calculus of Variations and Partial Differential Equations
Volume
22
Issue
2
Pages
129-172
Publisher
Springer-Verlag
Description
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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A Giacomini - Calculus of Variations and Partial Differential …, 2005