SHELL THEORIES ARISING AS LOW ENERGY Γ-LIMIT OF 3D NONLINEAR ELASTICITY
by
Marta Lewicka
,
Maria Giovanna
,
Mora
,
Mohammad Reza Pakzad
| Citations: | 10 - 9 self |
BibTeX
@MISC{Lewicka_shelltheories,
author = {Marta Lewicka and Maria Giovanna and Mora and Mohammad Reza Pakzad},
title = {SHELL THEORIES ARISING AS LOW ENERGY Γ-LIMIT OF 3D NONLINEAR ELASTICITY},
year = {}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
Abstract. We discuss the limiting behavior (using the notion of Γ-limit) of the 3d nonlinear elasticity for thin shells around an arbitrary smooth 2d surface. In particular, under the assumption that the elastic energy of deformations scales like h 4, h being the thickness of a shell, we derive a limiting theory which is a generalization of the von Kármán theory for plates. Contents
