Asymptotic finite-strain thin-plate theory for elastic solids

Abstract

We offer some observations on recent efforts to extract models for the stretching and bending of thin plates from three-dimensional finite elasticity. Using an asymptotic argument like that advanced by Ciarlet and his school, we show that recent work purporting to derive a non-standard bending theory generates instead a correction to membrane theory of order thickness squared. © 2007 Elsevier Ltd. All rights reserved.