Planar sheets meet negative-curvature liquid interfaces

被引：9

作者：

Yao, Zhenwei ^{[1
]}

Bowick, Mark ^{[1
]}

Ma, Xu ^{[1
]}

Sknepnek, Rastko ^{[1
]}

机构：

[1] Syracuse Univ, Dept Phys, Syracuse, NY 13244 USA

来源：

EPL | 2013年 / 101卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1209/0295-5075/101/44007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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

引用

页数：5

共 28 条

[1]

[Anonymous], 2006, Geometrical Frustration

[2]

Audoly B., 2010, Elasticity and Geometry: From Hair Curls to the Non-Linear Response of Shells

[3] Two-dimensional matter: order, curvature and defects [J].