Calculus of Variations and Geometric Measure Theory

S. Almi - E. Tasso

Brittle fracture in linearly elastic plates

created by tasso on 20 Jun 2020
modified on 14 Jan 2022


Published Paper

Inserted: 20 jun 2020
Last Updated: 14 jan 2022

Journal: Proceedings of the Royal Society of Edinburgh
Year: 2021
Doi: 10.1017/prm.2021.71

ArXiv: 2006.09150 PDF


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.