Geometry-Driven Folding of a Floating Annular Sheet

Joseph Paulsen, Vincent Démery, K. Buǧra Toga, Zhanlong Qiu, Thomas P. Russell, Benny Davidovitch, Narayanan Menon

Research output: Contribution to journalArticle

14 Citations (Scopus)

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 two-dimensional 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.

Original languageEnglish (US)
Article number048004
JournalPhysical Review Letters
Volume118
Issue number4
DOIs
StatePublished - Jan 27 2017

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folding
floating
geometry
elastic sheets
buckling
rims
rigidity
nonlinearity
air
polymers
symmetry
water
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Paulsen, J., Démery, V., Toga, K. B., Qiu, Z., Russell, T. P., Davidovitch, B., & Menon, N. (2017). Geometry-Driven Folding of a Floating Annular Sheet. Physical Review Letters, 118(4), [048004]. https://doi.org/10.1103/PhysRevLett.118.048004

Geometry-Driven Folding of a Floating Annular Sheet. / Paulsen, Joseph; Démery, Vincent; Toga, K. Buǧra; Qiu, Zhanlong; Russell, Thomas P.; Davidovitch, Benny; Menon, Narayanan.

In: Physical Review Letters, Vol. 118, No. 4, 048004, 27.01.2017.

Research output: Contribution to journalArticle

Paulsen, J, Démery, V, Toga, KB, Qiu, Z, Russell, TP, Davidovitch, B & Menon, N 2017, 'Geometry-Driven Folding of a Floating Annular Sheet', Physical Review Letters, vol. 118, no. 4, 048004. https://doi.org/10.1103/PhysRevLett.118.048004
Paulsen J, Démery V, Toga KB, Qiu Z, Russell TP, Davidovitch B et al. Geometry-Driven Folding of a Floating Annular Sheet. Physical Review Letters. 2017 Jan 27;118(4). 048004. https://doi.org/10.1103/PhysRevLett.118.048004
Paulsen, Joseph ; Démery, Vincent ; Toga, K. Buǧra ; Qiu, Zhanlong ; Russell, Thomas P. ; Davidovitch, Benny ; Menon, Narayanan. / Geometry-Driven Folding of a Floating Annular Sheet. In: Physical Review Letters. 2017 ; Vol. 118, No. 4.
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