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5 International Journal of Applied Mechanics and Engineering

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Propagation of SH waves in an regular non homogeneous monoclinic crustal layer lying over a non-homogeneous semi-infinite medium

100%

Sethi M. , Sharma A.

International Journal of Applied Mechanics and Engineering

2016

tom Vol. 21, no. 2

447--459

The present paper discusses the dispersion equation for SH waves in a non-homogeneous monoclinic layer over a semi infinite isotropic medium. The wave velocity equation has been obtained. In the isotropic case, when non-homogeneity is absent, the dispersion equation reduces to the standard SH wave equation. The dispersion curves are depicted by means of graphs for different values of non-homogeneity parameters for the layer and semi-infinite medium.

Mathematical modeling of torsional surface wave propagation in a non-homogeneous transverse isotropic elastic solid semi-infinite medium under a layer

80%

Sethi M. , Sharma A. , Vasishth A.

International Journal of Applied Mechanics and Engineering

2017

tom Vol. 22, no. 2

415--426

The 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.

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

80%

Sethi M. , Gupta K. C. , Rani M.

International Journal of Applied Mechanics and Engineering

2013

tom Vol. 18, no. 4

1221--1236

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.

Propagation of torsional surface waves in a nonhomogeneous half-space with circular irregularity in free surface

80%

Sethi M. , Sharma A. K. , Sharma A.

International Journal of Applied Mechanics and Engineering

2018

tom Vol. 23, no. 4

929--939

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.

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

80%

Sethi M. , Gupta K. C. , Gupta D. , Manisha

International Journal of Applied Mechanics and Engineering

2013

tom Vol. 18, no. 1

177--188

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.