Self-similar curling of a naturally curved elastica

Research output: Contribution to journalArticlepeer-review

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
Article number174302
JournalPhysical Review Letters
Volume108
Issue number17
DOIs
Publication statusPublished - 27 Apr 2012

Fingerprint

Dive into the research topics of 'Self-similar curling of a naturally curved elastica'. Together they form a unique fingerprint.

Cite this