Published Paper
Inserted: 5 jan 2006
Journal: Calc. Var. Partial Differential Equations
Volume: 22
Pages: 129-172
Year: 2005
Abstract:
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.
Keywords: variational models, quasi-static evolution, Crack propagation, energy minimization
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