Modelling nonlinear hydroelastic waves

Reference:

Plotnikov, P. I. and Toland, J. F., 2011. Modelling nonlinear hydroelastic waves. Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences, 369 (1947), pp. 2942-2956.

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Official URL:

http://dx.doi.org/10.1098/rsta.2011.0104

Abstract

This paper uses the special Cosserat theory of hyperelastic shells satisfying Kirchoff's hypothesis and irrotational flow theory to model the interaction between a heavy thin elastic sheet and an infinite ocean beneath it. From a general discussion of three-dimensional motions, involving an Eulerian description of the flow and a Lagrangian description of the elastic sheet, a special case of two-dimensional travelling waves with two wave speed parameters, one for the sheet and another for the fluid, is developed only in terms of Eulerian coordinates.

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