Self-similar structures near boundaries in strained systems

被引：86

作者：

Audoly, B

Boudaoud, A

机构：

[1] Univ Paris 06, CNRS, UMR 7607, Modelisat Mecan Lab, F-75252 Paris 05, France

[2] Ecole Normale Super, CNRS, UMR 8550, Lab Phys Stat, F-75231 Paris, France

来源：

PHYSICAL REVIEW LETTERS | 2003年 / 91卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.91.086105

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the buckling of thin elastic plates caused by residual strains concentrated near a free edge. This is a model for plant leaves and torn plastic sheet morphologies. We derive new governing equations explaining self-similar patterns reported earlier in experiments. We reveal the cascade mechanism, determine the bounds for its wavelengths, and predict a similarity factor of 3 in agreement with experiments. This is confirmed by numerical solutions with up to five generations of wrinkles.

引用

页数：4

共 18 条

[1]

[Anonymous], ARCH RATION MECH ANA

[2] 'Ruban a godets': an elastic model for ripples in plant leaves [J].