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

Published 1 Apr 2021 in math.AP | (2104.00658v1)

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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