Stability of Surface Rayleigh Waves in an Elastic Half-Space

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.



Titolo: Stability of Surface Rayleigh Waves in an Elastic Half-Space
Autori: 
ROSINI, Massimiliano Daniele
Data di pubblicazione: 2010
Rivista: 
STUDIES IN APPLIED MATHEMATICS  
Handle: http://hdl.handle.net/11392/2356637
Appare nelle tipologie:03.1 Articolo su rivista

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