Stability of Surface Rayleigh Waves in an Elastic Half-Space

作者:Rosini M D*
来源:Studies in Applied Mathematics, 2010, 124(2): 179-211.
DOI:10.1111/j.1467-9590.2009.00467.x

摘要

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.

  • 出版日期2010-2

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