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.
Steigmann, D. J. (2007). Asymptotic finite-strain thin-plate theory for elastic solids. Computers and Mathematics with Applications, 53(2), 287–295. https://doi.org/10.1016/j.camwa.2006.02.025