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Brittle fracture in linearly elastic plates

Almi, Stefano
•
Tasso, Emanuele
2023
  • journal article

Periodico
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS
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.
DOI
10.1017/prm.2021.71
WOS
WOS:000785646700001
Archivio
https://hdl.handle.net/20.500.11767/142390
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85120035467
https://arxiv.org/abs/2006.09150
https://ricerca.unityfvg.it/handle/20.500.11767/142390
Diritti
closed access
Soggetti
  • Dimension reduction

  • Gamma-convergence

  • brittle fracture

  • free discontinuity pr...

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