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Dispersion and Attenuation of Love-Type Waves Due to a Point Source in Magneto-Viscoelastic Layer

Published online by Cambridge University Press:  28 January 2018

P. Alam ,
S. Kundu  and
S. Gupta
P. Alam*
Affiliation:
Indian Institute of Technology (Indian School of Mines) Dhanbad, India
S. Kundu
Affiliation:
Indian Institute of Technology (Indian School of Mines) Dhanbad, India
S. Gupta
Affiliation:
Indian Institute of Technology (Indian School of Mines) Dhanbad, India
*
*Corresponding author (alamparvez.amu@gmail.com)
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Abstract

This paper intends to study the dispersion and attenuation characteristics of Love-type wave propagation due to a disturbance point source in a hydrostatic stressed magneto-viscoelastic layer, lying over a heterogeneous fibre-reinforced elastic half-space. The shear elastic moduli and mass density of half-space are the functions of depth and heterogeneity parameters. The coupled field equations are solved with the aid of Green's function technique and Fourier transform. The dispersion and damping equations have been obtained for the wave. The deduced equations coincide with the classical Love-wave condition for the uniform homogeneous isotropic structure. Numerical computations are carried out for involved parameters and demonstrated with the help of graphs. The effects of hydrostatic stress, magnetic coupling parameter, dissipation factor, attenuation coefficient, reinforcement parameters, heterogeneity parameters and order of the depth variation on the dispersion and damping curves are highlighted.

Keywords

Magneto-viscoelasticHydrostaticAttenuationHeterogeneity
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 6 , December 2018 , pp. 801 - 816
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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