Modelling nonlinear hydroelastic waves | Zendy

П. И. Плотников | Zendy; John Toland | Zendy

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Modelling nonlinear hydroelastic waves

Author(s) -

П. И. Плотников,

John Toland

Publication year - 2011

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2011.0104

Subject(s) - conservative vector field , eulerian path , hyperelastic material , classical mechanics , nonlinear system , mechanics , lagrangian and eulerian specification of the flow field , flow (mathematics) , physics , stokes drift , lagrangian , mathematical analysis , mathematics , wave propagation , compressibility , quantum mechanics

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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