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

Download:

• atgiarevised.pdf