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.
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页数：4
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