Self-similar curling of a naturally curved elastica

A. C. Callan-Jones, P. T. Brun, B. Audoly

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number174302
JournalPhysical review letters
Volume108
Issue number17
DOIs
StatePublished - Apr 27 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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