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.
| Original language | English |
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| Pages (from-to) | 2942-2956 |
| Number of pages | 15 |
| Journal | Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences |
| Volume | 369 |
| Issue number | 1947 |
| DOIs | |
| Publication status | Published - 28 Jul 2011 |
Keywords
- Cosserat theory of shells
- hydroelastic waves
- Kirchoff's hypothesis
- Willmore functional