Inserted: 1 apr 2021
Last Updated: 24 jun 2021
Journal: J. Nonlinear Sci.
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