Modelling nonlinear hydroelastic waves

P I Plotnikov, John F Toland

Research output: Contribution to journalArticle

44 Citations (Scopus)
136 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)2942-2956
Number of pages15
JournalPhilosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences
Issue number1947
Publication statusPublished - 28 Jul 2011


  • Cosserat theory of shells
  • hydroelastic waves
  • Kirchoff's hypothesis
  • Willmore functional

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