ORCID

Joseph Paulsen: 0000-0001-6048-456X

Document Type

Article

Date

2017

Keywords

air, phase interfaces, air water interfaces, bending rigidity, buckling transitions, elastic sheets, geometric approaches

Language

English

Funder(s)

W. M. Keck Foundation

Acknowledgements

We thank H. Bermudez for use of a Langmuir trough. J.D.P. gratefully acknowledges support from the ESPCI Paris Joliot Department. This work was supported by the W.M. Keck Foundation.

Official Citation

Geometry-driven folding of a floating annular sheet. JD Paulsen, V Démery, KB Toga, Z. Qiu, T Russell, B Davidovitch, and N Menon, Physical Review Letters 118, 048004 (2017).

Disciplines

Chemical Engineering | Chemistry | Physics

Description/Abstract

Predicting the large-amplitude deformations of thin elastic sheets is difficult due to the complications of self contact, geometric nonlinearities, and a multitude of low-lying energy states. We study a simple twodimensional setting where an annular polymer sheet floating on an air-water interface is subjected to different tensions on the inner and outer rims. The sheet folds and wrinkles into many distinct morphologies that break axisymmetry. These states can be understood within a recent geometric approach for determining the gross shape of extremely bendable yet inextensible sheets by extremizing an appropriate area functional. Our analysis explains the remarkable feature that the observed buckling transitions between wrinkled and folded shapes are insensitive to the bending rigidity of the sheet.

ISSN

00319007

Additional Information

Physical Review Letters allows its authors to archive pre-print, post-print, and publisher's versions of their publications.

Additional authors: Vincent Démery, Buğra Toga, Zhanlong Qiu, Thomas P. Russell, Benny Davidovitch, and Narayanan Menon - UMASS Amherst, PSL Research University

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