The algorithm of dispersion function of Rayleigh waves' in porous layered half-space

2014 ◽  
Author(s):  
Shou-guo Yan ◽  
Fu-li Xie ◽  
Bi-xing Zhang
Keyword(s):  
Half Space ◽  
Rayleigh Waves ◽  
Dispersion Function ◽  
Layered Half Space

Dispersion function of Rayleigh waves in porous layered half-space system

2016 ◽  
Vol 13 (2) ◽  
pp. 333-342 ◽  
Author(s):  
Shou-Guo Yan ◽  
Fu-Li Xie ◽  
Chang-Zheng Li ◽  
Bi-Xing Zhang
Keyword(s):  
Half Space ◽  
Rayleigh Waves ◽  
Dispersion Function ◽  
Space System ◽  
Layered Half Space

scholarly journals The dispersion of Rayleigh waves in orthotropic layered half-space using matrix method

2016 ◽  
Vol 38 (1) ◽  
pp. 27-38 ◽  
Author(s):  
Tran Thanh Tuan ◽  
Tran Ngoc Trung
Keyword(s):  
Numerical Calculation ◽  
Half Space ◽  
Rayleigh Waves ◽  
Matrix Method ◽  
Secular Equation ◽  
Material Parameters ◽  
Rayleigh Surface Waves ◽  
The Matrix ◽  
Dimensionless Variables ◽  
Layered Half Space

In this paper, the secular equation of Rayleigh surface waves propagating in an orthotropic layered half-space is derived by the matrix method.  All the layers and the half-space are assumed to have identical principle axes. The explicit form of the matrizant for each layer is obtained by the Sylvester's theorem. The derived secular equation takes only real values and depends only on the dimensionless variables and dimensionless material parameters. Hence, it is convenient in numerical calculation.

Magnetoelastic rayleigh waves in a regularly layered half-space

1987 ◽  
Vol 23 (6) ◽  
pp. 523-527
Author(s):  
V. V. Levchenko ◽  
N. A. Shul'ga
Keyword(s):  
Half Space ◽  
Rayleigh Waves ◽  
Layered Half Space

On a method to obtain a Green's function for a multi-layered half space

1964 ◽  
Vol 54 (4) ◽  
pp. 1087-1096
Author(s):  
I. Herrera
Keyword(s):  
Surface Wave ◽  
Integral Representation ◽  
Green’S Function ◽  
Surface Waves ◽  
Half Space ◽  
Green's Function ◽  
Rayleigh Waves ◽  
Two Dimensional ◽  
Representation Theorems ◽  
Layered Half Space

Abstract In this paper the surface wave terms of the Green's function for a two-dimensional multilayered half space are obtained. The method used is new and remarkable by its simplicity. It is based on the integral representation theorems for elastodynamics. The orthogonality properties of surface waves are generalized to include not only Love waves but Rayleigh waves as well.

On a technique for deriving explicit transfer matrices of orthotropic layers

2015 ◽  
Vol 37 (4) ◽  
pp. 303-315 ◽  
Author(s):  
Pham Chi Vinh ◽  
Nguyen Thi Khanh Linh ◽  
Vu Thi Ngoc Anh
Keyword(s):  
Wave Propagation ◽  
Explicit Form ◽  
Half Space ◽  
Transfer Matrix ◽  
Rayleigh Waves ◽  
Secular Equation ◽  
Transfer Matrices ◽  
Orthotropic Layer ◽  
Wave Propagation Problem ◽  
Arbitrary Thickness

This paper presents  a technique by which the transfer matrix in explicit form of an orthotropic layer can be easily obtained. This transfer matrix is applicable for both the wave propagation problem and the reflection/transmission problem. The obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthotropic half-space coated by an orthotropic layer of arbitrary thickness.

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