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On the role of in-plane compliance in edge wrinkling

Coman, CD and Bassom, AP ORCID: 0000-0003-3275-7801 2017 , 'On the role of in-plane compliance in edge wrinkling' , Journal of Elasticity, vol. 126, no. 2 , pp. 135-154 , doi: 10.1007/s10659-016-9584-3.

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Abstract

Bifurcations of a thin circular elastic plate subjected to uniform normal pressure are investigated by taking into account the in-plane compliance of the edge restraint. This effect amounts to introducing a Hookean spring relating the radial components of the membrane stress tensor and the corresponding in-plane displacement fields. The addition of this new feature gives rise to an adaptive radial stretching of our configuration, which is intimately linked to the strength of the applied pressure. The Föppl-von Kármán nonlinear plate theory, in conjunction with singular perturbation arguments, help us to establish the nature of the localised wrinkling observed in numerical simulations. Asymptotic analysis of the problem provides some simple qualitative predictions for the dependence of the critical load on a number of key dimensionless parameters.

Item Type: Article
Authors/Creators:Coman, CD and Bassom, AP
Keywords: wrinkling, compliance, thin films, Foppl-von Karman plate equations, asymptotic methods
Journal or Publication Title: Journal of Elasticity
Publisher: Kluwer Academic Publ
ISSN: 0374-3535
DOI / ID Number: 10.1007/s10659-016-9584-3
Copyright Information:

© Springer Science+Business Media Dordrecht 2016

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