Compression Induced Folding of a Sheet: An Integrable System

被引：95

作者：

Diamant, Haim ^{[1
]}

Witten, Thomas A.

机构：

[1] Tel Aviv Univ, Raymond & Beverly Sackler Sch Chem, IL-69978 Tel Aviv, Israel

来源：

PHYSICAL REVIEW LETTERS | 2011年 / 107卷 / 16期

基金：

美国国家科学基金会;

关键词：

PHOSPHOLIPID MONOLAYERS; COLLAPSE TRANSITIONS; LANGMUIR MONOLAYERS; FOUNDATION; MECHANISMS; BEHAVIOR; STRESS;

D O I：

10.1103/PhysRevLett.107.164302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The apparently intractable shape of a fold in a compressed elastic film lying on a fluid substrate is found to have an exact solution. Such systems buckle at a nonzero wave vector set by the bending stiffness of the film and the weight of the substrate fluid. Our solution describes the entire progression from a weakly displaced sinusoidal buckling to a single large fold that contacts itself. The pressure decrease is exactly quadratic in the lateral displacement. We identify a complex wave vector whose magnitude remains invariant with compression.

引用

页数：4