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On a class of buckling problems in a singularly perturbed domain

Citation

Coman, CD and Bassom, AP, On a class of buckling problems in a singularly perturbed domain, Quarterly Journal of Mechanics and Applied Mathematics, 62, (1) pp. 89-103. ISSN 0033-5614 (2009) [Refereed Article]

Copyright Statement

Copyright The author 2009. Published by Oxford University Press; all rights reserved.

DOI: doi:10.1093/qjmam/hbn027

Abstract

We consider the buckling of an annular thin elastic plate when it is subjected to uniform in-plane compressive forces on its outer boundary. This geometrical inhomogeneity means that the pre-buckling stress field is nonconstant and, as a consequence, the resulting variable-coefficient eigenproblem is not solvable in closed form. In the limit when the annulus can be regarded as a disk with a small neighbourhood of its centre removed, singular perturbation techniques are used to construct asymptotic approximations for the critical buckling loads. Our results describe both symmetric and asymmetric buckling patterns and show good agreement with some numerical simulations.

Item Details

Item Type:Refereed Article
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:105655
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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