Brittle fracture in linearly elastic plates

2020/06/16 by Stefano Almi, Almi, Stefano, Emanuele Tasso +1 · 3 citations
Mathematics · #49J45 #74G65 #74K15 #74R10 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:49J45 #msc:74G65 #msc:74K15 #msc:74R10

paper · pdf · doi:10.48550/arxiv.2006.09150

arxiv created 2021/04/26 · arxiv updated 2021/04/27

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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