Journal
EUROPHYSICS LETTERS
Volume 62, Issue 4, Pages 498-504Publisher
E D P SCIENCES
DOI: 10.1209/epl/i2003-00334-5
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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.
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