Theory of edges of leaves

M. Marder*, E. Sharon, S. Smith, B. Roman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

52 Scopus citations

Abstract

We performed experiments in which tearing pieces of plastic produced a fractal boundary. Similar patterns are commonly observed at the edges of leaves. These patterns can be reproduced by imposing metrics upon thin sheets. We present an energy functional that provides a numerical test-bed for this idea, and derive a continuum theory from it. We find ordinary differential equations that provide minimum energy solutions for long thin strips with linear gradients in metric, and verify both numerically and experimentally the correctness of the solutions.

Original languageEnglish
Pages (from-to)498-504
Number of pages7
JournalEurophysics Letters
Volume62
Issue number4
DOIs
StatePublished - May 2003
Externally publishedYes

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