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On the 3D Rayleigh wave field on an elastic half-space subject to tangential surface loads

Ege, Nihal; Erbaş, Barış; Prikazchikov, Danila

Authors

Nihal Ege

Barış Erbaş



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