Self-similar curling of a naturally curved elastica

We consider the curling of an initially flat but naturally curved elastica on a hard, nonadhesive surface. Combining theory, simulations, and experiments, we find novel behavior, including a constant front velocity and a self-similar shape of the curl that scales in size as t(1/3) at long times afte...

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Bibliographic Details
Published in:Physical review letters 2012-04, Vol.108 (17), p.174302-174302, Article 174302
Main Authors: Callan-Jones, A C, Brun, P-T, Audoly, B
Format: Article
Language:English
Subjects:
Engineering Sciences
Mechanics
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Summary:We consider the curling of an initially flat but naturally curved elastica on a hard, nonadhesive surface. Combining theory, simulations, and experiments, we find novel behavior, including a constant front velocity and a self-similar shape of the curl that scales in size as t(1/3) at long times after the release of one end of the elastica. The front velocity is selected by matching the self-similar solution with a roll of nearly constant curvature located near the free end.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.108.174302