Brittle membranes in finite elasticity
Stefano Almi, Dario Reggiani, Francesco Solombrino
Source record
Source: Crossref
Published: Jun 7, 2023
DOI: 10.1002/zamm.202200525
Open original source ↗Source abstract
Abstract This work is devoted to the variational derivation of a reduced model for brittle membranes in finite elasticity. The main mathematical tools we develop for our analysis are: (i) a new density result in of functions satisfying a maximal‐rank constraint on the subgradients, which can be approximated by C 1 ‐local immersions on regular subdomains of the cracked set, and (ii) the construction of recovery sequences by means of suitable diffeomorphisms mapping the regular subdomains onto the fractured configuration.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.