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EnglishThis paper is concerned with nonlinear analysis for the propagation of Rayleigh surface waves on a homogeneous, elastic half-space of general anisotropy. We show how to derive an asymptotic equation for the displacement by applying the second-order elasticity theory. The evolution equation obtained is a nonlocal generalization of Burgers' equation, for which an explicit stability condition is exhibited. Finally, we investigate examples of interest, namely, isotropic materials, Ogden's materials, compressible Mooney-Rivlin materials, compressible neo-Hookean materials, Simpson-Spector materials, St Venant-Kirchhoff materials, and Hadamard-Green materials. © 2009 by the Massachusetts Institute of Technology.
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| Data di pubblicazione: | 2010 | |
| Titolo: | Stability of Surface Rayleigh Waves in an Elastic Half-Space | |
| Autori: | Rosini, M.D | |
| Rivista: | STUDIES IN APPLIED MATHEMATICS | |
| Parole Chiave: | Applied Mathematics | |
| Abstract in inglese: | This paper is concerned with nonlinear analysis for the propagation of Rayleigh surface waves on a homogeneous, elastic half-space of general anisotropy. We show how to derive an asymptotic equation for the displacement by applying the second-order elasticity theory. The evolution equation obtained is a nonlocal generalization of Burgers' equation, for which an explicit stability condition is exhibited. Finally, we investigate examples of interest, namely, isotropic materials, Ogden's materials, compressible Mooney-Rivlin materials, compressible neo-Hookean materials, Simpson-Spector materials, St Venant-Kirchhoff materials, and Hadamard-Green materials. © 2009 by the Massachusetts Institute of Technology. | |
| Digital Object Identifier (DOI): | 10.1111/j.1467-9590.2009.00467.x | |
| Handle: | http://hdl.handle.net/11392/2356637 | |
| Appare nelle tipologie: | 03.1 Articolo su rivista |
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