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1

Dispersion of SH waves in a viscoelastic layer imperfectly bonded with a couple stress substrate

Sharma V., Kumar S.

Journal of Theoretical and Applied Mechanics

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2017

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Vol. 55 nr 2

535--546

EN

The paper deals with propagation of SH waves in a viscoelastic layer over a couple stress substrate with imperfect bonding at the interface. A dispersion equation of SH waves in a viscoelastic layer overlying the couple stress substrate with an imperfect interface between them has been obtained. Dispersion equations for propagation of SH waves with perfectly bonded interface and slippage interface between two media are also obtained as particular cases. Effects of the degree of imperfectness of the interface are studied on the phase velocity of SH waves. The dispersion curves are plotted and the effects of material properties of both couple stress substrate and viscoelastic layer are studied. The effects of internal microstructures of the couple stress substrate in terms of characteristic length of the material are presented. The effects of heterogeneity, friction parameter and thickness of the viscoelastic layer are also studied on the propagation of SH waves.

2

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

Sethi M., Sharma A.

International Journal of Applied Mechanics and Engineering

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2016

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Vol. 21, no. 2

447--459

EN

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.

3

High-frequency scattering of SH waves by a thin-walled plane inclusion of arbitrary rigidity

Emets W.

Vibrations in Physical Systems

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2002

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Vol. 20

144--145

4

Generation of SH waves by a moving stress discontinuity in an anisotropic soil layer over an elastic half space

Pal P., Kumar L.

Acta Geophysica Polonica

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2000

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Vol. 48, nr 4

465-478

EN

The paper considers the generation and propagation of SH waves in an anisotropic soil layer overlying an elastic half space by a moving stress discontinuity. Stress discontinuity moves with non-uniform velocity and is impulsive in nature. Theories of Biot and Weiskopf are used to formulate the problem. Solid displacement component is evaluated on the free surface of soil layer by using Cagniard-De Hoop special reduction technique. Solution is discussed on the basis of Ray theory and some wave front patterns are obtained. The numerical result is calculated for a special case and compared with earlier results.