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.
Phase-Field Approximation of Functionals Defined on Piecewise-Rigid Maps / Cicalese M.; Focardi M.; Zeppieri C.I.. - In: JOURNAL OF NONLINEAR SCIENCE. - ISSN 0938-8974. - STAMPA. - 31:(2021), pp. 1-25. [10.1007/s00332-021-09733-1]
Phase-Field Approximation of Functionals Defined on Piecewise-Rigid Maps
Focardi M.;
2021
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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