An approximate secular equation of Rayleigh waves in an elastic half-space coated by a thin weakly inhomogeneous elastic layer

Authors

  • Pham Chi Vinh Hanoi University of science
  • Vu Thi Ngoc Anh Hanoi University of science

DOI:

https://doi.org/10.15625/0866-7136/37/1/5900

Keywords:

Rayleigh waves, a homogeneous isotropic elastic half-space, a thin weakly inhomogeneous isotropic elastic layer, an approximate secular equation, the effective boundary condition method

Abstract

In this paper, the propagation of Rayleigh waves in a homogeneous isotropic elastic half-space coated with a thin weakly inhomogeneous isotropic elastic layer is investigated. The material parameters of the layer is assumed to  depend arbitrarily continuously on  the thickness variable. The contact between the layer and the half space is  perfectly bonded. The main purpose of the paper is to establish an approximate secular equation of the wave. By applying the effective boundary condition method an approximate secular equation of second order in terms of the dimensionless thickness of the layer is derived. It is shown that the obtained approximate secular equation has good accuracy.

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Published

26-02-2015

How to Cite

Vinh, P. C., & Anh, V. T. N. (2015). An approximate secular equation of Rayleigh waves in an elastic half-space coated by a thin weakly inhomogeneous elastic layer. Vietnam Journal of Mechanics, 37(1), 71–80. https://doi.org/10.15625/0866-7136/37/1/5900

Issue

Section

Research Paper

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