Nihal Ege
On the 3D Rayleigh wave field on an elastic half-space subject to tangential surface loads
Ege, Nihal; Erbaş, Barış; Prikazchikov, Danila
Abstract
This study is concerned with analysis of the Rayleigh wave field in a 3D isotropic elastic half-space subject to in-plane surface loading. The approach relies on the slow time perturbation of the general representation for the Rayleigh wave eigensolutions in terms of harmonic functions. The resulting hyperbolic-elliptic formulation allows decomposition of the original vector problem of 3D elasticity into a sequence of scalar Dirichlet and Neumann problems for the Laplace equation. The boundary conditions for these are specified through a 2D hyperbolic equation. An example of an impulse tangential load illustrates the efficiency of the derived asymptotic formulation, with the results expressed in terms of elementary functions.
Journal Article Type | Article |
---|---|
Acceptance Date | Mar 3, 2015 |
Online Publication Date | Apr 1, 2015 |
Publication Date | 2015-12 |
Journal | Journal of Applied Mathematics and Mechanics (ZAMM) |
Print ISSN | 0044-2267 |
Publisher | Wiley |
Peer Reviewed | Peer Reviewed |
Volume | 95 |
Issue | 12 |
Pages | 1558-1565 |
DOI | https://doi.org/10.1002/zamm.201400211 |
Keywords | Rayleigh wave, asymptotic model, tangential load |
Publisher URL | http://dx.doi.org/10.1136/annrheumdis-2013-204601 |
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