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Boundary layers and stress concentration in the circular shearing of annular thin films

Citation

Coman, CD and Bassom, AP, Boundary layers and stress concentration in the circular shearing of annular thin films, Royal Society of London. Proceedings. Mathematical, Physical and Engineering Sciences, 463, (2087) pp. 3037-3053. ISSN 1364-5021 (2007) [Refereed Article]

Copyright Statement

Copyright 2007 The Royal Society

DOI: doi:10.1098/rspa.2007.0106

Abstract

This work addresses a generalization of Deanís classical problem, which sought to explain how an annular thin elastic plate buckles under uniform shearing forces applied around its edges. We adapt the original setting by assuming that the outer edge is radially stretched while the inner rim undergoes in-plane rotation through some small angle. Boundarylayer methods are used to investigate analytically the deformation pattern which is set up and localized around the inner hole when this angle reaches a well-defined critical wrinkling value. Linear stability theory enables us to identify both the critical load and the preferred number of wrinkles appearing in the deformed configuration. Our asymptotic results are compared with a number of direct numerical simulations.

Item Details

Item Type:Refereed Article
Keywords:boundary layers; thin films; circular shearing; 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:107353
Year Published:2007
Web of Science® Times Cited:12
Deposited By:Mathematics and Physics
Deposited On:2016-03-11
Last Modified:2016-09-08
Downloads:0

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