Observation of Leaky Rayleigh Waves on a 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.

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Effects of microstructure and liquid loading on velocity dispersion of leaky Rayleigh waves at liquid–solid interface

Canadian Journal of Physics ◽

10.1139/cjp-2016-0343 ◽

2018 ◽

Vol 96 (1) ◽

pp. 11-17 ◽

Cited By ~ 2

Author(s):

Vikas Sharma ◽

Satish Kumar

Keyword(s):

Phase Velocity ◽

Half Space ◽

Liquid Layer ◽

Rayleigh Waves ◽

Couple Stress ◽

Characteristic Length ◽

Couple Stress Theory ◽

Liquid Loading ◽

Stress Theory ◽

Leaky Rayleigh Waves

Inner atomic interactions at the micro scale produce new effects that cannot be accounted for by the classical theory of elasticity. To study the impact of the microstructures of the material, generalized continuum theories involving additional microstructural material parameters are preferred. One such microcontinuum theory involving an additional material parameter called internal characteristic length (l) is a consistent couple stress theory. The study of leaky Rayleigh waves generated at the interface of solid half-space with liquid layer is of great importance for quick scanning and imaging of large civil engineering structures. The problem of leaky Rayleigh waves propagating in elastic half-space under liquid loading has been studied in the context of this consistent couple stress theory. Dispersion equations are obtained by developing the mathematical model of the problem. Phase velocity of leaky Rayleigh waves is studied for three different values of characteristic length parameter (l), which is of the order of internal cell size of the material. Effects of thickness of liquid layer are also studied on the phase velocity profiles.

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Three dimensional responses of a hill in a layered half-space for obliquely incident Rayleigh waves

Scientia Sinica Technologica ◽

10.1360/n092014-00045 ◽

2015 ◽

Vol 45 (8) ◽

pp. 874-888 ◽

Cited By ~ 2

Author(s):

JianWen LIANG ◽

ZhenNing BA

Keyword(s):

Half Space ◽

Rayleigh Waves ◽

Three Dimensional ◽

Obliquely Incident ◽

Layered Half Space

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Magnetoelastic rayleigh waves in a regularly layered half-space

Soviet Applied Mechanics ◽

10.1007/bf00887016 ◽

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

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

Bulletin of the Seismological Society of America ◽

10.1785/bssa0540041087 ◽

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.

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Viscosity and Diffusion Effects at the Boundary Surface of Viscous Fluid and Thermoelastic Diffusive Solid Medium

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.10-m1016 ◽

2011 ◽

Vol 3 (2) ◽

pp. 219-238

Author(s):

Rajneesh Kumar ◽

Tarun Kansal

Keyword(s):

Phase Velocity ◽

Dispersion Equation ◽

Half Space ◽

Rayleigh Waves ◽

Wave Motion ◽

Thermoelastic Diffusion ◽

Phase Velocity And Attenuation ◽

And Diffusion ◽

Complex Dispersion ◽

Leaky Rayleigh Waves

AbstractThis paper concentrates on the wave motion at the interface of viscous compressible fluid half-space and homogeneous isotropic, generalized thermoelastic diffusive half-space. The wave solutions in both the fluid and thermoelastic diffusive half-spaces have been investigated; and the complex dispersion equation of leaky Rayleigh wave motion have been derived. The phase velocity and attenuation coefficient of leaky Rayleigh waves have been computed from the complex dispersion equation by using the Muller’s method. The amplitudes of displacements, temperature change and concentration have been obtained. The effects of viscosity and diffusion on phase velocity and attenuation coefficient of leaky Rayleigh waves motion for different theories of thermoelastic diffusion have been depicted graphically. The magnitude of heat and mass diffusion flux vectors for different theories of thermoelastic diffusion have also been computed and represented graphically.

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On a technique for deriving explicit transfer matrices of orthotropic layers

Vietnam Journal of Mechanics ◽

10.15625/0866-7136/37/4/6534 ◽

2015 ◽

Vol 37 (4) ◽

pp. 303-315 ◽

Cited By ~ 1

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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