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Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending

Citation

Coman, CD and Bassom, AP, Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending, Journal of Engineering Mathematics, 63, (2-4) pp. 327-338. ISSN 0022-0833 (2009) [Refereed Article]

Copyright Statement

Copyright 2007 Springer Science+Business Media B.V.

DOI: doi:10.1007/s10665-007-9196-9

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 Details

Item Type:Refereed Article
Keywords:boundary layers, eigenvalue problems, thin elastic plates, wrinkling
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105654
Year Published:2009
Web of Science® Times Cited:5
Deposited By:Mathematics and Physics
Deposited On:2016-01-12
Last Modified:2016-07-06
Downloads:0

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