Localized buckling of a floating elastica

B. Audoly
Phys. Rev. E 84, 011605 – Published 12 July 2011

Abstract

We study the buckling of a two-dimensional elastica floating on a bath of dense fluid, subjected to axial compression. The sinusoidal pattern predicted by the analysis of linear stability is shown to become localized above the buckling threshold. A nonlinear amplitude equation is derived for the envelope of the pattern. These results provide a simple interpretation to the wrinkle-to-fold transition reported by Pocivavsek et al. [Science 320, 912 (2008)]. An analogy with the classical problem of the localized buckling of a strut on a nonlinear elastic foundation is presented.

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  • Received 13 April 2011

DOI:https://doi.org/10.1103/PhysRevE.84.011605

©2011 American Physical Society

Authors & Affiliations

B. Audoly

  • CNRS, UPMC Univ Paris 06, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005 Paris, France

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Vol. 84, Iss. 1 — July 2011

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