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.
|Number of pages||15|
|Journal||Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences|
|Publication status||Published - 28 Jul 2011|
- Cosserat theory of shells
- hydroelastic waves
- Kirchoff's hypothesis
- Willmore functional