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 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 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 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.

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.

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 multilayered elastic media I. Rayleigh and Love waves from buried sources in a multilayered elastic half-space

1964 ◽  
Vol 54 (2) ◽  
pp. 627-679
Author(s):  
David G. Harkrider
Keyword(s):  
Surface Waves ◽  
Frequency Domain ◽  
Half Space ◽  
Rayleigh Waves ◽  
Elastic Half Space ◽  
Love Waves ◽  
Displacement Fields ◽  
Matrix Formulation ◽  
Total Displacement ◽  
Rayleigh And Love Waves

ABSTRACT A matrix formulation is used to derive integral expressions for the time transformed displacement fields produced by simple sources at any depth in a multilayered elastic isotropic solid half-space. The integrals are evaluated for their residue contribution to obtain surface wave displacements in the frequency domain. The solutions are then generalized to include the effect of a surface liquid layer. The theory includes the effect of layering and source depth for the following: (1) Rayleigh waves from an explosive source, (2) Rayleigh waves from a vertical point force, (3) Rayleigh and Love waves from a vertical strike slip fault model. The latter source also includes the effect of fault dimensions and rupture velocity. From these results we are able to show certain reciprocity relations for surface waves which had been previously proved for the total displacement field. The theory presented here lays the ground work for later papers in which theoretical seismograms are compared with observations in both the time and frequency domain.

Radiation of seisimic surface waves from extending circular sources

1970 ◽  
Vol 60 (2) ◽  
pp. 517-537
Author(s):  
Marie Horn
Keyword(s):  
Free Surface ◽  
Boundary Conditions ◽  
Surface Waves ◽  
Equations Of Motion ◽  
Love Waves ◽  
Finite Radius ◽  
Finite Velocity ◽  
Rayleigh And Love Waves

abstract The radiation of Rayleigh and Love waves from two different horizontal circular sources of stress is studied. The displacement on the free surface is deduced from the equations of motion and boundary conditions and then integrated over a finite radius to simulate a disturbance extending with a constant finite velocity.

scholarly journals A Numerical Approach for Calculation of Characteristics of Edge Waves in Three-Dimensional Plates

2020 ◽  
pp. 2050014
Author(s):  
Wenbo Duan ◽  
Ray Kirby
Keyword(s):  
Numerical Model ◽  
Nondestructive Testing ◽  
Surface Waves ◽  
Three Dimensional ◽  
Love Waves ◽  
Mode Shapes ◽  
Finite Width ◽  
Two Dimensional ◽  
Edge Waves ◽  
Rayleigh And Love Waves

Surface waves have been extensively studied in earthquake seismology. Surface waves are trapped near an infinitely large surface. The displacements decay exponentially with depth. These waves are also named Rayleigh and Love waves. Surface waves are also used for nondestructive testing of surface defects. Similar waves exist in finite width three-dimensional plates. In this case, displacements are no longer constant in the direction perpendicular to the wave propagation plane. Wave energy could still be trapped near the edge of the three-dimensional plate, and hence the term edge waves. These waves are thus different to the two-dimensional Rayleigh and Love waves. This paper presents a numerical model to study dispersion properties of edge waves in plates. A two-dimensional semi-analytical finite element method is developed, and the problem is closed by a perfectly matched layer adjacent to the edge. The numerical model is validated by comparing with available analytical and numerical solutions in the literature. On this basis, higher order edge waves and mode shapes are presented for a three-dimensional plate. The characteristics of the presented edge wave modes could be used in nondestructive testing applications.

Sign in / Sign up

Export Citation Format

Share Document