Self-Similar Structures near Boundaries in Strained Systems
- 21 August 2003
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 91 (8), 086105
- https://doi.org/10.1103/physrevlett.91.086105
Abstract
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.This publication has 13 references indexed in Scilit:
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