Vol. 11, No. 3, 2016

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ISSN: 1559-3959
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

Vol. 11 (2016), No. 3, 259–277
Abstract

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
Milestones
Received: 4 June 2015
Revised: 10 December 2015
Accepted: 16 December 2015
Published: 26 July 2016
Authors
Pham Chi Vinh
Faculty of Mathematics, Mechanics and Informatics
Hanoi University of Science
334 Nguyen Trai Street
Hanoi 1000
Vietnam
Vu Thi Ngoc Anh
Faculty of Mathematics, Mechanics and Informatics
Hanoi University of Science
334 Nguyen Trai Street
Hanoi 1000
Vietnam