eprintid: 71984
rev_number: 21
eprint_status: archive
userid: 11283
dir: disk0/00/07/19/84
datestamp: 2012-11-21 15:58:29
lastmod: 2025-03-07 15:39:16
status_changed: 2012-11-21 15:58:29
type: article
metadata_visibility: show
creators_name: Steigmann, D. J.
creators_name: Ogden, R.W.
creators_orcid: 0000-0002-7002-7028
title: Classical plate buckling theory as the rigorous small thickness limit of three-dimensional incremental elasticity
ispublished: pub
divisions: 30501000
abstract: 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>
date: 2014-01
date_type: published
publisher: Wiley
id_number: 10.1002/zamm.201200160
uniqueid: glaseprints:2014-71984
published_online: 2012-11-19
issn_online: 1521-4001
full_text_status: none
publication: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik
volume: 94
number: 1-2
pagerange: 7-20
refereed: TRUE
issn: 0044-2267
hoa_compliant: 305
hoa_date_acc: 2012-10-20
hoa_date_pub: 2012-11-19
hoa_exclude: FALSE
hoa_gold: FALSE
citation:    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>)