Session H52: Focus Session: Extreme Mechanics - Rods

8:00 AM–11:00 AM, Tuesday, February 28, 2012
Room: 153C

Sponsoring Units: GSNP DFD
Chair: Douglas Holmes, Virginia Polytechnic Institute and State University

Abstract ID: BAPS.2012.MAR.H52.1

Abstract: H52.00001 : Dynamic curling of a naturally curved Elastica

8:00 AM–8:36 AM

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  Basile Audoly
    (Institut Jean le Rond d Alembert, University Paris 6 and CNRS)

We consider the motion of a naturally curved Elastica that has been flattened onto a hard surface. When it is released from one end, the Elastica lifts off the surface and curls dynamically into a moving spiral. The motion is governed by inertia, bending and geometric nonlinearity. At long times, the dynamics follows a self-similar regime: the size of the spiral grows like the cubic root of time, while the velocity of the front reaches a constant value. The asymptotic velocity is derived analytically, and compared to numerical simulations and to experiments.

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