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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