Planar sheets meet negative-curvature liquid interfaces

Zhenwei Yao, Mark Bowick, Xu Ma, Rastko Sknepnek

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


If an inextensible thin sheet adheres to a substrate with a negative Gaussian curvature, it will experience stress due to geometric frustration. We analyze the consequences of such geometric frustration using analytic arguments and numerical simulations. Both concentric wrinkles and eye-like folds are shown to be compatible with negative curvatures. Which pattern will be realized depends on the curvature of the substrate. We discuss both types of folding patterns and determine the phase diagram governing their appearance.

Original languageEnglish (US)
Article number44007
Issue number4
StatePublished - Feb 2013

ASJC Scopus subject areas

  • General Physics and Astronomy


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