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- Self‐Similar Curling of a Naturally Curved Elastica doi link

Auteur(s): Callan-Jones A., Brun P.‐t., Audoly B.

(Article) Publié: Physical Review Letters, vol. 108 p.174302 (2012)


Ref HAL: hal-01666663_v1
DOI: 10.1103/PhysRevLett.108.174302
WoS: 000303310800007
Exporter : BibTex | endNote
12 Citations
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.