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Effective boundary
condition method and approximate secular equations of
Rayleigh waves in orthotropic half-spaces coated by a thin
layer
Pham Chi Vinh and Vu Thi Ngoc Anh |
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Vol. 11 (2016), No. 3, 259–277
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Abstract |
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In this paper, the effective boundary condition method for deriving approximate secular equations of Rayleigh waves propagating in elastic half-spaces coated by a thin layer is introduced. Then, the method is used to obtain approximate secular equations of Rayleigh waves in compressible (incompressible) orthotropic half-spaces covered by a thin incompressible (compressible) orthotropic layer. Approximate secular equations of third order have been derived and it is shown that they have high accuracies. Some numerical examples are carried out to evaluate the effect of incompressibility on the Rayleigh wave propagation. It is shown that the incompressibility affects considerably on the Rayleigh wave velocity. |
Keywords
Rayleigh waves, thin layer, effective boundary condition
method, approximate secular equation
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Milestones
Received: 4 June 2015
Revised: 10 December 2015
Accepted: 16 December 2015
Published: 26 July 2016
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Authors |
| Pham Chi Vinh | |
| Faculty of Mathematics, Mechanics
and Informatics Hanoi University of Science 334 Nguyen Trai Street Hanoi 1000 Vietnam |
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| Vu Thi Ngoc Anh | |
| Faculty of Mathematics, Mechanics
and Informatics Hanoi University of Science 334 Nguyen Trai Street Hanoi 1000 Vietnam |
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