Published Paper

Inserted: 14 jun 2021
Last Updated: 5 sep 2025

Journal: Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Year: 2023
Doi: 10.4171/RLM/1012

Abstract:

We derive an effective membrane theory in the thin film limit within a two phase material model for a specimen consisting of an elastic matrix and soft inclusions. The soft inclusions may lead to the formation of cracks within the elastic matrix and the corresponding limiting models are described by Griffith type fracture energy functionals. We also provide simplified proofs of relaxation results for bulk materials