Calculus of Variations and Geometric Measure Theory
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M. Cicalese - M. Focardi - C. I. Zeppieri

Phase-field approximation of functionals defined on piecewise-rigid maps

created by zeppieri1 on 01 Apr 2021
modified on 24 Jun 2021


Accepted Paper

Inserted: 1 apr 2021
Last Updated: 24 jun 2021

Journal: J. Nonlinear Sci.
Year: 2021


We provide a variational approximation of Ambrosio-Tortorelli type for brittle fracture-energies of piecewise-rigid solids. Our result covers both the case of geometrically nonlinear elasticity and that of linearised elasticity.

Keywords: Brittle fracture, $\Gamma$-convergence, Free-discontinuity problems, Phase-field models, Geometric rigidity, elliptic approximation, piecewise-rigid maps, linearised elasticity


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