On the Role of In-Plane Compliance in Edge Wrinkling

Ciprian D. Coman, Andrew P. Bassom

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.

LanguageEnglish
Pages135-154
Number of pages20
JournalJournal of Elasticity
Volume126
Issue number2
Early online date27 May 2016
DOIs
Publication statusPublished - Feb 2017
Externally publishedYes

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Asymptotic analysis
Stretching
Tensors
Membranes
Computer simulation
Compliance

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Coman, Ciprian D. ; Bassom, Andrew P. / On the Role of In-Plane Compliance in Edge Wrinkling. In: Journal of Elasticity. 2017 ; Vol. 126, No. 2. pp. 135-154.
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On the Role of In-Plane Compliance in Edge Wrinkling. / Coman, Ciprian D.; Bassom, Andrew P.

In: Journal of Elasticity, Vol. 126, No. 2, 02.2017, p. 135-154.

Research output: Contribution to journalArticle

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