relation: https://eprints.gla.ac.uk/71984/
title: Classical plate buckling theory as the rigorous small thickness limit of three-dimensional incremental elasticity
creator: Steigmann, D. J.
creator: Ogden, R.W.
description: Classical plate buckling theory is obtained systematically as the small-thickness limit of the three-dimensional linear theory of incremental elasticity with null incremental data. Various a priori assumptions associated with classical treatments of plate buckling, including the Kirchhoff–Love hypothesis, are here derived rather than imposed, and the conditions under which they emerge are stated precisely.<p></p>
publisher: Wiley
date: 2014-01
type: Articles
type: PeerReviewed
identifier:    Steigmann, D. J. and Ogden, R.W. <https://eprints.gla.ac.uk/view/author/11283.html>  (2014)  Classical plate buckling theory as the rigorous small thickness limit of three-dimensional incremental elasticity.   ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik <https://eprints.gla.ac.uk/view/journal_volume/ZAMM=3A_Zeitschrift_f=FCr_Angewandte_Mathematik_und_Mechanik.html>, 94(1-2),  pp. 7-20.   (doi: 10.1002/zamm.201200160 <https://doi.org/10.1002/zamm.201200160>)         
relation: 10.1002/zamm.201200160
identifier: 10.1002/zamm.201200160