High-frequency asymptotic description of head waves and boundary layers surrounding the critical rays in an elastic half-space

1998 ◽  
Vol 104 (3) ◽  
pp. 1188-1197 ◽  
Author(s):  
Dmitri Gridin
Keyword(s):  
Boundary Layers ◽  
Half Space ◽  
High Frequency ◽  
Elastic Half Space ◽  
Asymptotic Description ◽  
Head Waves ◽  
Critical Rays

High-frequency shear oscillations of a strip stamp on an elastic half-space

1985 ◽  
Vol 49 (5) ◽  
pp. 647-650 ◽  
Author(s):  
A.S. Zil'bergleit ◽  
I.N. Zlatina ◽  
T.Yu. Simkina
Keyword(s):  
Half Space ◽  
High Frequency ◽  
Elastic Half Space

The effect of boundaries on wave propagation in a liquid-filled porous solid: IV. Surface waves in a half-space

1962 ◽  
Vol 52 (3) ◽  
pp. 627-638
Author(s):  
H. Deresiewicz
Keyword(s):  
Surface Waves ◽  
Half Space ◽  
High Frequency ◽  
Secular Equation ◽  
Elastic Half Space ◽  
Frequency Parameter ◽  
Dimensionless Frequency ◽  
Field Equations ◽  
Extremal Values ◽  
Complex Coefficients

abstract Dispersion and dissipation of Rayleigh-type surface waves in a porous, elastic half-space filled with a viscous liquid are studied within the framework of Biot's field equations. The algebraic secular equation turns out to be of the seventh degree, its (complex) coefficients being functions of a dimensionless frequency parameter. It is shown that for small and for large values of this parameter the wave is essentially non-dissipative. A numerical analysis of the secular equation pertaining to a kerosene-saturated sandstone reveals the existence of several extremal values of the phase velocity, a skewed bell-shaped variation of the dissipation per cycle, and a high-frequency cutoff for the surface wave for certain values of the dynamical coefficients.

Dispersive behavior of high frequency Rayleigh waves propagating on an elastic half space

2021 ◽  
Author(s):  
Ning Jia ◽  
Zhilong Peng ◽  
Jianjun Li ◽  
Yin Yao ◽  
Shaohua Chen
Keyword(s):  
Half Space ◽  
High Frequency ◽  
Rayleigh Waves ◽  
Elastic Half Space

The efficiency of application of virtual cross-sections method and hypotheses MELS in problems of wave signal propagation in elastic waveguides with rough surfaces

2016 ◽  
pp. 3564-3575 ◽  
Author(s):  
Ara Sergey Avetisyan
Keyword(s):  
Half Space ◽  
Cross Sections ◽  
Classical Method ◽  
Signal Propagation ◽  
Elastic Half Space ◽  
Layered Systems ◽  
Surface Layers ◽  
Inhomogeneous Surface ◽  
Wave Signal ◽  
The Impact

The efficiency of virtual cross sections method and MELS (Magneto Elastic Layered Systems) hypotheses application is shown on model problem about distribution of wave field in thin surface layers of waveguide when plane wave signal is propagating in it. The impact of surface non-smoothness on characteristics of propagation of high-frequency horizontally polarized wave signal in isotropic elastic half-space is studied. It is shown that the non-smoothness leads to strong distortion of the wave signal over the waveguide thickness and along wave signal propagation direction as well.  Numerical comparative analysis of change in amplitude and phase characteristics of obtained wave fields against roughness of weakly inhomogeneous surface of homogeneous elastic half-space surface is done by classical method and by proposed approach for different kind of non-smoothness.

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