scholarly journals Effective boundary condition method and approximate secular equations of Rayleigh waves in orthotropic half-spaces coated by a thin layer

2016 ◽  
Vol 11 (3) ◽  
pp. 259-277 ◽  
Author(s):  
Chi Vinh Pham ◽  
Anh Vu
Keyword(s):  
Boundary Condition ◽  
Thin Layer ◽  
Rayleigh Waves ◽  
Effective Boundary ◽  
Condition Method ◽  
Secular Equations ◽  
Boundary Condition Method ◽  
Effective Boundary Condition

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

2015 ◽  
Vol 37 (1) ◽  
pp. 71-80
Author(s):  
Pham Chi Vinh ◽  
Vu Thi Ngoc Anh
Keyword(s):  
Half Space ◽  
Rayleigh Waves ◽  
Elastic Layer ◽  
Secular Equation ◽  
Elastic Half Space ◽  
Effective Boundary ◽  
Inhomogeneous Elastic Layer ◽  
Boundary Condition Method ◽  
Effective Boundary Condition ◽  
Thickness Variable

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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