scholarly journals Propagation of Torsional Surface Waves in a Nonhomogeneous Half-Space With Circular Irregularity in Free Surface

2018 ◽  
Vol 23 (4) ◽  
pp. 929-939
Author(s):  
M. Sethi ◽  
A.K. Sharma ◽  
A. Sharma
Keyword(s):  
Free Surface ◽  
Phase Velocity ◽  
Surface Waves ◽  
Dispersion Equation ◽  
Half Space ◽  
Analytical Solutions ◽  
Homogeneous Half Space ◽  
Depth Separation ◽  
Separation Of Variable ◽  
Torsional Surface Waves

Abstract The present paper studies the effect of circular regularity on propagation of torsional surface waves in an elastic non-homogeneous half-space. Both rigidity and density of the half-space are assumed to vary inversely linearly with depth. Separation of variable method has been used to get the analytical solutions for the dispersion equation of the torsional surface waves. Also, the effects of non-homogeneity and irregularity on the phase velocity of torsional surface waves have shown graphically.

scholarly journals Mathematical Modeling of Torsional Surface Wave Propagation in a Non-Homogeneous Transverse Isotropic Elastic Solid Semi-Infinite Medium Under a Layer

2017 ◽  
Vol 22 (2) ◽  
pp. 415-426
Author(s):  
M. Sethi ◽  
A. Sharma ◽  
A. Vasishth
Keyword(s):  
Mathematical Modeling ◽  
Surface Waves ◽  
Half Space ◽  
Elastic Solid ◽  
Elastic Half Space ◽  
Complete Agreement ◽  
Rigid Layer ◽  
Transverse Isotropic ◽  
Separation Of Variable ◽  
Torsional Surface Waves

AbstractThe present paper deals with the mathematical modeling of the propagation of torsional surface waves in a non-homogeneous transverse isotropic elastic half-space under a rigid layer. Both rigidities and density of the half-space are assumed to vary inversely linearly with depth. Separation of variable method has been used to get the analytical solutions for the dispersion equation of the torsional surface waves. Also, the effects of nonhomogeneities on the phase velocity of torsional surface waves have been shown graphically. Also, dispersion equations have been derived for some particular cases, which are in complete agreement with some classical results.

Propagation of Torsional Surface Waves in Heterogeneous Half-Space with Irregular Free Surface

2020 ◽  
Vol 9 (2) ◽  
pp. 128-131
Author(s):  
Mahmoud M. Selim
Keyword(s):  
Free Surface ◽  
Surface Waves ◽  
Half Space ◽  
Elastic Half Space ◽  
Numerical Results ◽  
Surface Irregularity ◽  
Closed Form Solutions ◽  
The Earth ◽  
Waves Propagation ◽  
Torsional Surface Waves

This study is an attempt to show the impacts of free surface irregularity on the torsional surface waves propagating in heterogeneous, elastic half-space. The surface irregularity is taken in the parabolic form at the surface of the half-space. The governing equation and corresponding closed form solutions are derived. Then, the phase velocity of torsional surface waves is obtained analytically and the influences of surface irregularity are studied in detail. Numerical results analyzing the torsional surface waves propagation are discussed and presented graphically. The analytical solutions and numerical results reveal that, the surface irregularity and heterogeneity have notable effects on the torsional surface waves propagation in the elastic half-space. Since the Earth crust is heterogeneous medium with irregular surface, thus it is important to consider the effects of heterogeneity and surface irregularity on velocity of torsional surface waves propagating in the Earth medium.

Torsional Surface Waves in an Inhomogeneous Layer over a Fluid Saturated Porous Half-Space

2015 ◽  
Vol 32 (1) ◽  
pp. 113-121 ◽  
Author(s):  
S. Gupta ◽  
A. Pramanik
Keyword(s):  
Surface Waves ◽  
Half Space ◽  
Elastic Layer ◽  
Love Wave ◽  
Inhomogeneous Layer ◽  
Homogeneous Half Space ◽  
Inhomogeneous Elastic Layer ◽  
Porous Half Space ◽  
Torsional Surface Wave ◽  
Torsional Surface Waves

ABSTRACTIn the present paper the propagation of torsional surface waves is discussed in an inhomogeneous elastic layer lying over a fluid saturated porous half space. The inhomogeneity in rigidity and density in the inhomogeneous layer plays an important role in the propagation of torsional surface waves. The presence of fluid in the pores diminishes the velocity. Further, it is seen that if the layer becomes homogeneous and the porous half space is replaced by a homogeneous half space, the velocity of the torsional surface waves coincides with that of Love wave. The effect of inhomogeneity factors and porosity factor on the phase velocity of torsional surface wave is delimitated by means of graphs.

Propagation of Cylindrical Rayleigh Waves in a Transversly Isotropic Thermoelastic Diffusive Solid Half-Space

2013 ◽  
Vol 43 (3) ◽  
pp. 3-20 ◽  
Author(s):  
Rajneesh Kumar ◽  
Tarun Kansal
Keyword(s):  
Phase Velocity ◽  
Boundary Conditions ◽  
Dispersion Equation ◽  
Half Space ◽  
Rayleigh Waves ◽  
Attenuation Coefficients ◽  
Special Cases ◽  
Phase Velocity And Attenuation

Abstract The propagation of cylindrical Rayleigh waves in a trans- versely isotropic thermoelastic diffusive solid half-space subjected to stress free, isothermal/insulated and impermeable or isoconcentrated boundary conditions is investigated in the framework of different theories of ther- moelastic diffusion. The dispersion equation of cylindrical Rayleigh waves has been derived. The phase velocity and attenuation coefficients have been computed from the dispersion equation by using Muller’s method. Some special cases of dispersion equation are also deduced

PROPAGATION OF LOVE WAVE IN FIBER-REINFORCED MEDIUM OVER A NONHOMOGENEOUS HALF-SPACE

2014 ◽  
Vol 06 (05) ◽  
pp. 1450050 ◽  
Author(s):  
SANTIMOY KUNDU ◽  
SHISHIR GUPTA ◽  
SANTANU MANNA ◽  
PRALAY DOLAI
Keyword(s):  
Wave Propagation ◽  
Phase Velocity ◽  
Dispersion Equation ◽  
Half Space ◽  
Love Wave ◽  
Graphical Representation ◽  
Separation Of Variables ◽  
Classical Equation ◽  
Wave Number ◽  
Fiber Reinforced

The present paper is devoted to study the Love wave propagation in a fiber-reinforced medium laying over a nonhomogeneous half-space. The upper layer is assumed as reinforced medium and we have taken exponential variation in both rigidity and density of lower half-space. As Mathematical tools the techniques of separation of variables and Whittaker function are applied to obtain the dispersion equation of Love wave in the assumed media. The dispersion equation has been investigated for three different cases. In a special case when both the media are homogeneous our computed equation coincides with the classical equation of Love wave. For graphical representation, we used MATLAB software to study the effects of reinforced parameters and inhomogeneity parameters. It has been observed that the phase velocity increases with the decreases of nondimensional wave number. We have also seen that the phase velocity decreases with the increase of reinforced parameters and inhomogeneity parameters. The results may be useful to understand the nature of seismic wave propagation in fiber reinforced medium.

Torsional surface waves in a gradient-elastic half-space

Wave Motion ◽  
2000 ◽  
Vol 31 (4) ◽  
pp. 333-348 ◽  
Author(s):  
H.G. Georgiadis ◽  
I. Vardoulakis ◽  
G. Lykotrafitis
Keyword(s):  
Surface Waves ◽  
Half Space ◽  
Elastic Half Space ◽  
Torsional Surface Waves
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