Analysis of the Rayleigh wave field due to a tangential load applied on the surface of a coated elastic half-space

The paper deals with 3D dynamic response of a coated elastic half space subject to in-plane surface loading. The problem is formulated by a pair of elliptic equations over the interior and a two dimensional singularly perturbed hyperbolic equation expressed in terms of shear wave potentials along th...

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Bibliographic Details
Published inCommunications Series A1 Mathematics & Statistics Vol. 69; no. 1; pp. 158 - 171
Main Author Şahin, Onur
Format Journal Article
LanguageEnglish
Published Ankara Üniversitesi Fen Fakültesi 01.01.2020
Subjects
Matematik
Ankara
Türkiye
thin coating
asymptotic model
74B05. Key words and phrases. Rayleigh wave
Primary 05C38
74J15; Secondary 74G10
tangential load
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ISSN1303-5991
DOI10.31801/cfsuasmas.532747

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Summary:The paper deals with 3D dynamic response of a coated elastic half space subject to in-plane surface loading. The problem is formulated by a pair of elliptic equations over the interior and a two dimensional singularly perturbed hyperbolic equation expressed in terms of shear wave potentials along the interface. As an example, a point force acting one of the in-plane axis is considered and the integral solution of the normal displacement along the interface is derived through the use of the relation between the wave potentials.
ISSN:1303-5991
DOI:10.31801/cfsuasmas.532747