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Self‐Similar Curling of a Naturally Curved Elastica
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Self‐Similar Curling of a Naturally Curved Elastica

Andrew Callan-Jones, Pierre-Thomas Brun et Basile Audoly
Physical Review Letters, Vol.108(17)
27/04/2012

Résumé

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 t1/3 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.

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