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.

Stability of Surface Rayleigh Waves in an Elastic Half-Space

ROSINI, Massimiliano Daniele
2010

Abstract

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.
Rosini, Massimiliano Daniele
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11392/2356637
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact