Affiliation:
1. Dipartimento di Matematica e Applicazioni “R. Caccioppoli” Università di Napoli Federico II Napoli Italy
2. Scuola Superiore Meridionale Universitá di Napoli Federico II Largo San Marcellino 10 Napoli Italy
Abstract
AbstractThis 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 C1‐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.
Funder
Compagnia di San Paolo
Austrian Science Fund
Ministero dell’Istruzione, dell’Università e della Ricerca
Subject
Applied Mathematics,Computational Mechanics
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献