Planar sheets meet negative-curvature liquid interfaces

Zhenwei Yao; Mark Bowick; Xu Ma; Rastko Sknepnek

doi:10.1209/0295-5075/101/44007

Planar sheets meet negative-curvature liquid interfaces

Zhenwei Yao, Mark Bowick, Xu Ma, Rastko Sknepnek

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

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. Copyright (C) EPLA, 2013

Original language	English
Article number	44007
Number of pages	5
Journal	European Physical Society letters (EPL)
Volume	101
Issue number	4
DOIs	https://doi.org/10.1209/0295-5075/101/44007
Publication status	Published - Feb 2013

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title = "Planar sheets meet negative-curvature liquid interfaces",

abstract = "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. Copyright (C) EPLA, 2013",

author = "Zhenwei Yao and Mark Bowick and Xu Ma and Rastko Sknepnek",

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AU - Bowick, Mark

AU - Ma, Xu

AU - Sknepnek, Rastko

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AB - 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. Copyright (C) EPLA, 2013

U2 - 10.1209/0295-5075/101/44007

DO - 10.1209/0295-5075/101/44007

M3 - Article

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VL - 101

JO - European Physical Society letters (EPL)

JF - European Physical Society letters (EPL)

IS - 4

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ER -

Planar sheets meet negative-curvature liquid interfaces

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