Brittle fracture in linearly elastic plates
Stefano Almi, Emanuele Tasso · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2021
In this work we derive by $\Gamma$ -convergence techniques a model for brittle fracture linearly elastic plates. Precisely, we start from a brittle linearly elastic thin film with positive thickness $\rho$ and study the limit as $\rho$ tends to $0$ . The analysis is performed with no a priori restrictions on the admissible displacements and on the geometry of the fracture set. The limit model is characterized by a Kirchhoff-Love type of structure.