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Issue 22, 2010
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Capillary wrinkling of elastic membranes†

D. Vella,ab   M. Adda-Bediab  and  E. Cerda*c  
Author affiliations

* Corresponding authors

a ITG, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge, UK

b Laboratoire de Physique Statistique, Ecole Normale Supérieure, UPMC Paris 06, Université Paris Diderot, CNRS, 24 rue Lhomond, Paris, France

c Departamento de Física, Universidad de Santiago, Av. Ecuador 3493, Santiago, Chile

Abstract

We present a physically-based model for the deformation of a floating elastic membrane caused by the presence of a liquid drop. Starting from the equations of membrane theory modified to account for surface energies, we show that the presence of a liquid drop causes an azimuthal compression over a finite region. This explains the origin of the wrinkling of such membranes observed recently (Huang et al., Science, 2007, 317, 650) and suggests a single parameter that determines the extent of the wrinkled region. While experimental data supports the importance of this single parameter, our theory under-predicts the extent of the wrinkled region observed experimentally. We suggest that this discrepancy is likely to be due to the wrinkling observed here being far from the threshold.

Graphical abstract: Capillary wrinkling of elastic membranes

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Article information

https://doi.org/10.1039/C0SM00432D
Submitted
26 May 2010
Accepted
29 Jun 2010
First published
29 Aug 2010
Soft Matter, 2010,6, 5778-5782
Article type
Paper
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Capillary wrinkling of elastic membranes

D. Vella, M. Adda-Bedia and E. Cerda, Soft Matter, 2010, 6, 5778
DOI: 10.1039/C0SM00432D

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