scholarly journals Effect of gravity on visco-elastic surface waves in solids involving time rate of strain and stress of higher order

1995 ◽  
Vol 18 (1) ◽  
pp. 71-76 ◽  
Author(s):  
Tapan Kumar Das ◽  
P. R. Sengupta ◽  
Lokenath Debnath
Keyword(s):  
Surface Waves ◽  
Wave Velocity ◽  
Rayleigh Waves ◽  
General Equation ◽  
Elastic Solid ◽  
Higher Order ◽  
Rate Of Change ◽  
Elastic Surface ◽  
Time Rate ◽  
Stoneley Waves

A study is made of the surface waves in a higher order visco-elastic solid involving time rate of change of strain and stress under the influence of gravity. A fairly general equation for the wave velocity is derived. This equation is used to examine various kinds of surface waves including Rayleigh waves, Love waves and Stoneley waves. It is shown that the corresponding classical results follow from this analysis in the absence of gravity and viscosity.

scholarly journals Surface waves in non-homogeneous, general magnetothermo, viscoelastic media of higher order

2013 ◽  
Vol 18 (4) ◽  
pp. 1221-1236
Author(s):  
M. Sethi ◽  
K.C. Gupta ◽  
M. Rani
Keyword(s):  
Surface Waves ◽  
Wave Velocity ◽  
Classical Result ◽  
Solid Medium ◽  
Elastic Solid ◽  
Higher Order ◽  
Time Rate ◽  
Viscoelastic Media ◽  
Material Medium

Abstract The aim of the present paper is to investigate surface waves in a non-homogeneous, isotropic, visco-elastic solid medium of n-th order including the time rate of strain. The theory of generalised surface waves has firstly been developed and then it has been employed to investigate particular cases of waves, viz., Stoneley, Rayleigh and Love type. The wave velocity equations have been obtained for different cases and are in well agreement with the corresponding classical result, when the effects of viscosity, temperature, magnetism as well as nonhomogeneity of the material medium are ignored.

Surface waves in homogenous visco-elastic media of higher order under the influence of surface stresses

2013 ◽  
Vol 22 (5-6) ◽  
pp. 185-191 ◽  
Author(s):  
Munish Sethi ◽  
K.C. Gupta ◽  
Monika Rani ◽  
A. Vasudeva
Keyword(s):  
Surface Waves ◽  
Solid Medium ◽  
Elastic Solid ◽  
Higher Order ◽  
Love Waves ◽  
Elastic Media ◽  
Time Rate ◽  
Surface Stresses ◽  
Rayleigh And Love Waves

AbstractThe aim of the present paper is to investigate the surface waves in a homogeneous, isotropic, visco-elastic solid medium of nth order, including time rate of strain under the influence of surface stresses. The theory of generalized surface waves is developed to investigate particular cases of waves such as the Stoneley, Rayleigh, and Love waves. Corresponding equations have been obtained for different cases. These are reduced to classical results, when the effects of surface stresses and viscosity are ignored.

scholarly journals Surface waves in higher order visco-elastic media under the influence of gravity

1991 ◽  
Vol 4 (1) ◽  
pp. 71-82 ◽  
Author(s):  
Animesh Mukherjee ◽  
P. R. Sengupta ◽  
Lokenath Debnath
Keyword(s):  
Surface Waves ◽  
Wave Velocity ◽  
Rayleigh Waves ◽  
Higher Order ◽  
Love Waves ◽  
Initial Stresses ◽  
Elastic Media ◽  
Perfect Agreement ◽  
Gravitational Effects ◽  
Gravity Effects

Based upon Biot's [1965] theory of initial stresses of hydrostatic nature produced by the effect of gravity, a study is made of surface waves in higher order visco-elastic media under the influence of gravity. The equation for the wave velocity of Stonely waves in the presence of viscous and gravitational effects is obtained. This is followed by particular cases of surface waves including Rayleigh waves and Love waves in the presence of viscous and gravity effects. In all cases the wave-velocity equations are found to be in perfect agreement with the corresponding classical results when the effects of gravity and viscosity are neglected.

Stoneley wave velocity variation

2020 ◽  
pp. 2050030
Author(s):  
Sergey V. Kuznetsov
Keyword(s):  
Numerical Analysis ◽  
Wave Velocity ◽  
Rayleigh Waves ◽  
Secular Equation ◽  
Shear Waves ◽  
Velocity Variation ◽  
Stoneley Wave ◽  
Velocity Dependence ◽  
Stoneley Waves ◽  
Negative Poisson's Ratio

Stoneley wave velocity variation is analyzed by solving the modified Scholte secular equation for velocity of Stoneley waves, allowing to find dependency of the Stoneley wave velocity on the Wiechert parameter and construct a set of inequalities that confines region of existence for the appropriate root of the secular equation. Numerical analysis for Stoneley wave velocity dependence on the Wiechert parameter for both auxetics (materials with negative Poisson’s ratio) and nonauxetics revealed the presence of (i) asymptotes indicating degeneracy of Stoneley waves into the corresponding Rayleigh waves; and (ii) common extremums relating to degeneracy of Stoneley waves into the corresponding bulk shear waves.

scholarly journals Characteristics of the horizontal component of Rayleigh waves in multimode analysis of surface waves

Geophysics ◽  
2015 ◽  
Vol 80 (1) ◽  
pp. EN1-EN11 ◽  
Author(s):  
Tatsunori Ikeda ◽  
Toshifumi Matsuoka ◽  
Takeshi Tsuji ◽  
Toru Nakayama
Keyword(s):  
Surface Waves ◽  
Wave Velocity ◽  
Rayleigh Waves ◽  
Field Data ◽  
Vertical Component ◽  
Dispersion Curves ◽  
Horizontal Component ◽  
S Wave ◽  
Higher Modes ◽  
Explosive Source

In surface-wave analysis, S-wave velocity estimations can be improved by the use of higher modes of the surface waves. The vertical component of P-SV waves is commonly used to estimate multimode Rayleigh waves, although Rayleigh waves are also included in horizontal components of P-SV waves. To demonstrate the advantages of using the horizontal components of multimode Rayleigh waves, we investigated the characteristics of the horizontal and vertical components of Rayleigh waves. We conducted numerical modeling and field data analyses rather than a theoretical study for both components of Rayleigh waves. As a result of a simulation study, we found that the estimated higher modes have larger relative amplitudes in the vertical and horizontal components as the source depth increases. In particular, higher-order modes were observed in the horizontal component data for an explosive source located at a greater depth. Similar phenomena were observed in the field data acquired by using a dynamite source at 15-m depth. Sensitivity analyses of dispersion curves to S-wave velocity changes revealed that dispersion curves additionally estimated from the horizontal components can potentially improve S-wave velocity estimations. These results revealed that when the explosive source was buried at a greater depth, the horizontal components can complement Rayleigh waves estimated from the vertical components. Therefore, the combined use of the horizontal component data with the vertical component data would contribute to improving S-wave velocity estimations, especially in the case of buried explosive source signal.

Surface waves in fibre-reinforced anisotropic solid elastic media under the influence of gravity

2012 ◽  
Vol 20 (4-6) ◽  
pp. 81-85
Author(s):  
Munish Sethi ◽  
Manisha Gupta ◽  
Kishan Chand Gupta ◽  
Mahinder Singh Saroa ◽  
Deepak Gupta
Keyword(s):  
Surface Waves ◽  
Present Article ◽  
Wave Velocity ◽  
Classical Result ◽  
Solid Medium ◽  
Elastic Solid ◽  
Elastic Media ◽  
Material Medium ◽  
Anisotropic Solid ◽  
Anisotropic Elastic

AbstractThe aim of the present article is to investigate the surface waves in anisotropic, elastic solid medium under the influence of gravity. The theory of generalised surface waves has first been developed and then used to investigate particular cases of waves, viz., Stoneley, Rayleigh, and Love. The wave velocity equations have been obtained for different cases and are in well agreement with the corresponding classical result, when the effect of gravity, viscosity, and fibre-reinforced parameters of the material medium are ignored.

scholarly journals Effects of Rotation and Gravity Field on Surface Waves in Fibre-Reinforced Thermoelastic Media under Four Theories

2013 ◽  
Vol 2013 ◽  
pp. 1-20 ◽  
Author(s):  
A. M. Abd-Alla ◽  
S. M. Abo-Dahab ◽  
A. Al-Mullise
Keyword(s):  
Surface Waves ◽  
Rayleigh Waves ◽  
Relaxation Times ◽  
Type Ii ◽  
Physical Domain ◽  
Stoneley Waves ◽  
Harmonic Vibrations ◽  
Effects Of Rotation ◽  
Analytical Expressions ◽  
Thermoelastic Theory

Estimation is done to investigate the gravitational and rotational parameters effects on surface waves in fibre-reinforced thermoelastic media. The theory of generalized surface waves has been firstly developed and then it has been employed to investigate particular cases of waves, namely, Stoneley waves, Rayleigh waves, and Love waves. The analytical expressions for surface waves velocity and attenuation coefficient are obtained in the physical domain by using the harmonic vibrations and four thermoelastic theories. The wave velocity equations have been obtained in different cases. The numerical results are given for equation of coupled thermoelastic theory (C-T), Lord-Shulman theory (L-S), Green-Lindsay theory (G-L), and the linearized (G-N) theory of type II. Comparison was made with the results obtained in the presence and absence of gravity, rotation, and parameters for fibre-reinforced of the material media. The results obtained are displayed by graphs to clear the phenomena physical meaning. The results indicate that the effect of gravity, rotation, relaxation times, and parameters of fibre-reinforced of the material medium is very pronounced.

scholarly journals Surface Waves in Fibre-Reinforced Anisotropic Solid Elastic Media under the Influence of Gravity

2013 ◽  
Vol 18 (1) ◽  
pp. 177-188 ◽  
Author(s):  
M. Sethi ◽  
K.C. Gupta ◽  
D. Gupta And Manisha
Keyword(s):  
Surface Waves ◽  
Wave Velocity ◽  
Classical Result ◽  
Solid Medium ◽  
Elastic Solid ◽  
Fibre Reinforcement ◽  
Elastic Media ◽  
Material Medium ◽  
Anisotropic Solid ◽  
Anisotropic Elastic

The aim of the present paper is to investigate surface waves in an anisotropic, elastic solid medium under the influence of gravity. First, a theory of generalised surface waves was developed and then it was employed to investigate particular cases of waves, viz., Stoneley and Rayleigh, Love type. The wave velocity equations were obtained for different cases and they are in well agreement with the corresponding classical result, when the effect of gravity, viscosity as well as parameters for fibre-reinforcement of the material medium are ignored.

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