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Self-similar curling of a naturally curved elastica.

Author(s): Callan-Jones, AC; Brun, PT; Audoly, B

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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 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.
Publication Date: 27-Apr-2012
Citation: Callan-Jones, AC, Brun, PT, Audoly, B. (2012). Self-similar curling of a naturally curved elastica.. Physical review letters, 108 (17), 174302 - ?. doi:10.1103/physrevlett.108.174302
DOI: doi:10.1103/physrevlett.108.174302
ISSN: 0031-9007
EISSN: 1079-7114
Pages: 174302 - ?
Language: eng
Type of Material: Journal Article
Journal/Proceeding Title: Physical review letters
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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