Calculus of Variations and Geometric Measure Theory
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S. Almi - E. Tasso

Brittle fracture in linearly elastic plates

created by tasso on 20 Jun 2020

[BibTeX]

Submitted Paper

Inserted: 20 jun 2020
Last Updated: 20 jun 2020

Year: 2020

ArXiv: 2006.09150 PDF

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 $\rho$ 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.

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