Self-Similar Curling of a Naturally Curved Elastica

被引：15

作者：

Callan-Jones, A. C. ^{[1
]}

Brun, P-T. ^{[2
,3
,4
]}

Audoly, B. ^{[2
,3
]}

机构：

[1] Univ Montpellier 2, CNRS, Lab Charles Coulomb, Montpellier, France

[2] Univ Paris 06, UMR 7190, Paris, France

[3] Univ Paris 06, CNRS, Paris, France

[4] Univ Paris 11, CNRS, UPMC Paris 6, Lab FAST, F-91405 Orsay, France

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 108卷 / 17期

关键词：

DYNAMICS; RODS;

D O I：

10.1103/PhysRevLett.108.174302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the curling of an initially flat but naturally curved elastica on a hard, nonadhesive surface. Combining theory, simulations, and experiments, we find novel behavior, including a constant front velocity and a self-similar shape of the curl that scales in size as t(1/3) at long times after the release of one end of the elastica. The front velocity is selected by matching the self-similar solution with a roll of nearly constant curvature located near the free end.

引用

页数：5

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