Influence of gravity and initial stress on Rayleigh wave propagation in magneto-thermoelastic medium

Mandeep Singh, Sangeeta Kumari

Abstract


The main aim of present study is to show the effect of gravity, initial stress and magnetic field on the Rayleigh waves propagation in homogeneous orthotropic magneto-thermoelastic medium in the context of Three Phase Lag (TPL) model at two temperature. The governing equations of thermoelasticity have been solved by normal mode technique to deduce the frequency equation for Rayleigh wave with relevant boundary conditions. Special cases have been derived for isothermal and thermally insulated surfaces. Computer simulation is used for numerical discussion to show the effects of various parameters on phase velocity of Rayleigh waves. The variation in phase velocity corresponding to wave number has been demonstrated graphically in the presence of gravity, initial stress and magnetic field.

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Published: 2021-04-05

How to Cite this Article:

Mandeep Singh, Sangeeta Kumari, Influence of gravity and initial stress on Rayleigh wave propagation in magneto-thermoelastic medium, J. Math. Comput. Sci., 11 (2021), 2681-2698

Copyright © 2021 Mandeep Singh, Sangeeta Kumari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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