Coman, C.D. and Bassom, A.P. (2009) Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane buckling. Journal of Engineering Mathematics, 63(2-4), pp. 327-338. (doi: 10.1007/s10665-007-9196-9)
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Abstract
Singular perturbation techniques are used to investigate the linear eigenvalue problem that describes the partial wrinkling of a pre-stressed rectangular thin elastic plate under in-plane bending. The dependence of the critical load and the wavelength of the localised oscillatory pattern on the non-dimensional bending rigidity of the plate is captured with a higher-order boundary-layer analysis. Comparisons with direct numerical simulations of the original eigenproblem confirm the accuracy and versatility of the asymptotic technique explored in this work.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Coman, Dr Ciprian |
| Authors: | Coman, C.D., and Bassom, A.P. |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Engineering Mathematics |
| ISSN: | 0022-0833 |
| Published Online: | 27 September 2007 |
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