In this work we derive by Γ-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.
Brittle fracture in linearly elastic plates / Almi, Stefano; Tasso, Emanuele. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 153:(2023), pp. 68-103. [10.1017/prm.2021.71]
Brittle fracture in linearly elastic plates
Stefano Almi
;
2023
Abstract
In this work we derive by Γ-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.| File | Dimensione | Formato | |
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