Elastic knots

被引：48

作者：

Audoly, B. ^{[1
]}

Clauvelin, N. ^{[1
]}

Neukirch, S. ^{[1
]}

机构：

[1] Univ Paris 06, CNRS, UMR7190, Inst Jean Rond Dalembert, Paris, France

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 99卷 / 16期

关键词：

D O I：

10.1103/PhysRevLett.99.164301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the mechanical response of elastic rods bent into open knots, focusing on the case of trefoil and cinquefoil topologies. The limit of a weak applied tensile force is studied both analytically and experimentally: the Kirchhoff equations with self-contact are solved by means of matched asymptotic expansions; predictions on both the geometrical and mechanical properties of the elastic equilibrium are compared to experiments. The extension of the theory to tight knots is discussed.

引用

页数：4

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