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.
Citation
Ege, N., Erbaş, B., & Prikazchikov, D. (2015). On the 3D Rayleigh wave field on an elastic half-space subject to tangential surface loads. Zeitschrift für Angewandte Mathematik und Mechanik, 95(12), 1558-1565. https://doi.org/10.1002/zamm.201400211
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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