Classical plate buckling theory as the rigorous small thickness limit of three-dimensional incremental elasticity

Steigmann, D. J. and Ogden, R.W. (2014) Classical plate buckling theory as the rigorous small thickness limit of three-dimensional incremental elasticity. ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik, 94(1-2), pp. 7-20. (doi:10.1002/zamm.201200160)

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Publisher's URL: http://dx.doi.org/10.1002/zamm.201200160

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>

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond
Authors: Steigmann, D. J., and Ogden, R.W.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik
Publisher:Wiley-VCH Verlag
ISSN:0044-2267
ISSN (Online):1521-4001
Published Online:19 November 2012

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