%0 Journal Article
%T Self‐Similar Curling of a Naturally Curved Elastica
%+ Laboratoire Charles Coulomb (L2C)
%+ Mécanique et Ingénierie des Solides Et des Structures (IJLRDA-MISES)
%+ Fluides, automatique, systèmes thermiques (FAST)
%A Callan‐jones, A. C.
%A Brun, P.‐t.
%A Audoly, B.
%< avec comité de lecture
%@ 0031-9007
%J Physical Review Letters
%I American Physical Society
%V 108
%N 17
%P 174302
%8 2012
%D 2012
%R 10.1103/PhysRevLett.108.174302
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]Journal articles
%X 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.
%G English
%L hal-01666663
%U https://hal.science/hal-01666663
%~ UPMC
%~ CNRS
%~ UNIV-PSUD
%~ L2C
%~ IJLRDA
%~ UNIV-PARIS-SACLAY
%~ IJLRDA-MISES
%~ UNIV-PSUD-SACLAY
%~ UPMC_POLE_1
%~ MIPS
%~ UNIV-MONTPELLIER
%~ SORBONNE-UNIVERSITE
%~ SU-SCIENCES
%~ GS-PHYSIQUE
%~ ALLIANCE-SU
%~ UM-2015-2021
%~ FAST