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Asymptotic limits and wrinkling patterns in a pressurised shallow spherical cap

Citation

Coman, CD and Bassom, AP, Asymptotic limits and wrinkling patterns in a pressurised shallow spherical cap, International Journal of Non-Linear Mechanics, 81 pp. 8-18. ISSN 0020-7462 (2016) [Refereed Article]

Copyright Statement

Copyright 2015 Published by Elsevier Ltd.

DOI: doi:10.1016/j.ijnonlinmec.2015.12.004

Abstract

The asymmetric bifurcation problem for a shallow spherical cap is examined. The applied pressure can act either external or internal to the cap and both cases are treated here. Assuming a non-linear axisymmetric basic state, the linearised bifurcation equations for the pressurised shell are investigated in the limit when the thickness of the cap is much less than the maximum rise of the shell mid-surface. Within this regime the wrinkling patterns in both cases are confined to a narrow zone near the edge of the shell, making it possible to solve asymptotically the corresponding equations and derive analytical predictions for both the critical pressure and the corresponding number of wrinkles. Some comparisons with direct numerical simulations are included as well.

Item Details

Item Type:Refereed Article
Keywords:shallow shells, boundary-value problems, wrinkling, asymptotic methods
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:107352
Year Published:2016
Deposited By:Mathematics and Physics
Deposited On:2016-03-11
Last Modified:2017-05-30
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