Leonardo's Rule, Self-Similarity, and Wind-Induced Stresses in Trees

被引：79

作者：

Eloy, Christophe ^{[1
,2
,3
]}

机构：

[1] Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA

[2] CNRS, IRPHE, Marseille, France

[3] Aix Marseille Univ, Marseille, France

来源：

PHYSICAL REVIEW LETTERS | 2011年 / 107卷 / 25期

关键词：

PLANTS;

D O I：

10.1103/PhysRevLett.107.258101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Examining botanical trees, Leonardo da Vinci noted that the total cross section of branches is conserved across branching nodes. In this Letter, it is proposed that this rule is a consequence of the tree skeleton having a self-similar structure and the branch diameters being adjusted to resist wind-induced loads.

引用

页数：5

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