TY - JOUR
T1 - Self-similar curling of a naturally curved elastica
AU - Callan-Jones, A. C.
AU - Brun, P. T.
AU - Audoly, B.
PY - 2012/4/27
Y1 - 2012/4/27
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.108.174302
DO - 10.1103/PhysRevLett.108.174302
M3 - Article
C2 - 22680871
AN - SCOPUS:84860329388
SN - 0031-9007
VL - 108
JO - Physical Review Letters
JF - Physical Review Letters
IS - 17
M1 - 174302
ER -