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Effective solution for Rayleigh-type waves in a randomly inhomogeneous medium |
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| Affiliation: | 1. Department of Engineering Mechanics, College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, PR China;2. Key Laboratory of Advanced Ship Materials and Mechanics, Harbin Engineering University, Harbin 150001, PR China;3. Haishan Corporation of Industrial Development in Shijiazhuang, Technical Center, Shijiazhuang 050208, China;4. National Key Laboratory of Science and Technology on Advanced Composites in Special Environments, Harbin Institute of Technology, Harbin 150001, PR China |
| Abstract: | This paper is concerned with the effective solution for Rayleigh-type waves in a randomly inhomogeneous layer overlying a homogeneous half-space. The considerations are confined to the correlation theory. The method is based on the idea of a fundamental matrix for the system of differential equations. By using the Bourret approximation the system of coupled two second-order integro-differential equations for the average displacements is obtained. This system is solved by Laplace transform. By using boundary and continuity conditions the particular solution is obtained. |
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