Brittle fracture in linearly elastic plates

2020/06/16 by Almi, Stefano, Tasso, Emanuele · 1 citation
#49J45 #74G65 #74K15 #74R10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2006.09150

Abstract

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 ρ and study the limit as ρ 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.

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