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Mechanics

Buckling cascades in free sheets

Wavy leaves may not depend only on their genes to make their edges crinkle.

Abstract

The edge of a torn plastic sheet forms a complex three-dimensional fractal shape. We have found that the shape results from a simple elongation of the sheet in the direction along its edge. Natural growth processes in some leaves, flowers and vesicles could lead to a similar elongation and hence to the generation of characteristic wavy shapes.

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Figure 1: Buckling cascade in a deformed plastic sheet.

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Correspondence to Eran Sharon.

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The authors declare no competing financial interests.

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Sharon, E., Roman, B., Marder, M. et al. Buckling cascades in free sheets. Nature 419, 579 (2002). https://doi.org/10.1038/419579a

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