Inserted: 5 jan 2006
Journal: Calc. Var. Partial Differential Equations
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