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arXiv · 2104.00658

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

Marco Cicalese·Matteo Focardi·Caterina Ida Zeppieri
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Abstract

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.

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Marco Cicalese, Matteo Focardi, Caterina Ida Zeppieri. 2021-04-01. Phase-field approximation of functionals defined on piecewise-rigid maps. https://doi.org/10.1007/s00332-021-09733-1

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