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Viscoelastic response of a floating ice plate to a steadily moving load

Published online by Cambridge University Press:  21 April 2006

R. J. Hosking ,
A. D. Sneyd  and
D. W. Waugh
R. J. Hosking
Affiliation:
Mathematics Department, University of Waikato, Hamilton, New Zealand New address: Department of Mathematics, James Cook University, Townsville Q4811, Australia.
A. D. Sneyd
Affiliation:
Mathematics Department, University of Waikato, Hamilton, New Zealand
D. W. Waugh
Affiliation:
Mathematics Department, University of Waikato, Hamilton, New Zealand
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Abstract

Viscoelastic theory is used to describe the response of a floating ice sheet to a moving vehicle. We adopt a two-parameter memory function to describe the behaviour of the ice, subjected to a steadily moving line or point load. The viscoelastic dissipation produces an asymmetric quasi-static response at subcritical speed, renders a finite response at the critical speed, and damps the shorter leading waves rather more severely than the longer trailing waves at supercritical speed. We extend earlier asymptotic theory to consider the anisotropic damping of the flexural waves. There is enhanced agreement between theory and experiment.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 196 , November 1988 , pp. 409 - 430
Copyright
© 1988 Cambridge University Press

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