Ege, N., Erbas, B., Kaplunov, J. and Wootton, P. (2018) Approximate analysis of surface wave-structure interaction. Journal of Mechanics of Materials and Structures, 13(3), pp. 297-309. (doi: 10.2140/jomms.2018.13.297)
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Abstract
Surface wave-structure interaction is studied starting from a specialised approximate formulation involving a hyperbolic equation for the Rayleigh wave along with pseudostatic elliptic equations over the interior of an elastic half-space. The validity of the proposed approach for modelling a point contact is analysed. Explicit dispersion relations are derived for smooth contact stresses arising from averaging the effect of a regular array of spring-mass oscillators and also of elastic rods attached to the surface. Comparison with the exact solution of the associated plane time-harmonic problem in elasticity for the array of rods demonstrates a high efficiency of the developed methodology.
| Item Type: | Articles |
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| Additional Information: | Erbas and Kaplunov acknowledge the financial support of TÜB˙ITAK via the 2221— Fellowships for Visiting Scientists and Scientists on Sabbatical Leave. Wootton is grateful to Keele University, UK, for supporting his PhD studies. Erbas and Ege also acknowledge the support of Scientific Projects of Anadolu University, No: 1408F370. The support of the Ministry of Education and Science of the Republic of Kazakhstan, Grant IRN AP05132743, is also acknowledged. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Wootton, Mr Peter |
| Authors: | Ege, N., Erbas, B., Kaplunov, J., and Wootton, P. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Mechanics of Materials and Structures |
| Publisher: | Mathematical Sciences Publishers |
| ISSN: | 1559-3959 |
| ISSN (Online): | 1559-3959 |
| Copyright Holders: | Copyright © 2018 Mathematical Sciences Publishers |
| First Published: | First published in Journal of Mechanics of Materials and Structures in Vol. 13 (2018), No. 3, published by Mathematical Sciences Publishers |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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