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On the causality of
the Rayleigh wave
Barış Erbaş and Onur Şahin |
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Vol. 11 (2016), No. 4, 449–461
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DOI: 10.2140/jomms.2016.11.449
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Abstract |
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An explicit hyperbolic-elliptic formulation for surface Rayleigh waves is analysed with an emphasis on the causality of obtained results. As an example, a 3D moving load problem for a distributed vertical load is considered. A simple approximate solution is derived for a near-resonant regime, and the related point load solution is recast as a limiting case. It is shown that causality is characteristic only for the longitudinal wave potential along the surface, where it is governed by a hyperbolic equation modelling the small dilatation disturbances propagating at the Rayleigh wave speed. |
Keywords
moving load, causality, Rayleigh wave, hyperbolic-elliptic
model
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Milestones
Received: 13 January 2016
Revised: 13 February 2016
Accepted: 9 March 2016
Published: 4 August 2016
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Authors |
| Barış Erbaş | |
| Department of Mathematics Anadolu University Yunusemre Campus 26470 Eskişehir Turkey |
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| Onur Şahin | |
| Department of Mathematics Anadolu University Yunusemre Campus 26470 Eskişehir Turkey |
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