Scaled Korn–Poincaré inequality in BD and a model of elastic plastic cantilever

Article type: Research Article

Authors: Percivale, Danilo | Tomarelli, Franco

Affiliations: Dipartimento di Metodi e Modelli Matematici, Università di Genova, Piazzale Kennedy, Fiera del Mare Padiglione D, Genova, Italy E‐mail: percival@dima.unige.it | Dipartimento di Matematica Francesco Brioschi, Politecnico, Piazza Leonardo da Vinci 32, 20133 Milano, Italy E‐mail: fratom@mate.polimi.it

Abstract: The optimal asymptotic behaviour of the Korn–Poincaré inequality constant due to anysotropic shrinking of the open set is proved together with a description of an elastic‐perfectly plastic cantilever as a variational limit of an elastic micro‐fractured 2D‐body.

Journal: Asymptotic Analysis, vol. 23, no. 3-4, pp. 291-311, 2000