Volume 2, Issue 1, January 2013, Page: 8-19
Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress
Rajneesh Kakar, Principal, DIPS Polytechnic College, Hoshiarpur, India
Shikha Kakar, Faculty of Electrical Engineering, SBBSIET Padhiana Jalandhar, India
Received: Dec. 23, 2012;       Published: Jan. 10, 2013
DOI: 10.11648/j.ijmsa.20130201.12      View  3431      Downloads  149
The present study reveals the effects of various parameters and non-homogeneity on the surface waves propagating in viscoelastic medium. The theory of generalized surface waves has firstly been developed and then it has been employed to study the surface waves. Dispersion relation for Stoneley waves, Rayleigh waves and Love waves has been deduced. It has been observed that in the absence of viscosity, temperature, gravity, magnetism, couple stress and non-homogeneity of the material medium, the results obtained are in well agreement with the corresponding classical results.
Viscoelastic Solid Medium, Gravity, Couple stress, Inhomogeneities, Variable density
To cite this article
Rajneesh Kakar, Shikha Kakar, Propagation of Magneto-Thermo Surface Waves in Non-Homogenous Viscoelastic Medium of Higher Order under Gravity and Couple-Stress, International Journal of Materials Science and Applications. Vol. 2, No. 1, 2013, pp. 8-19. doi: 10.11648/j.ijmsa.20130201.12
Carcione JM, Wave propagation in anisotropic linear viscoelastic media; theory and simulated wave fields, Geophysical Journal International, 1990, 101, 739-750.
Stoneley R, Proc. R. Soc. A, 806, 1924, 416-28.
Bullen K.E, Theory of Seismology, Cambridge University Press, 1965.
Hunter, SC, Viscoelastic waves, Progress in solid mechanics, I. (Ed: Sneddon IN and Hill R) Cambridge University Press, 1970.
Jeffreys H, The Earth, Cambridge University Press, 1970.
Bromwich TJ, On the influence of gravity on elastic waves, and, in particular, on the vibrations of an elastic globe, Proc. London Math. Soc., 1898, 30, 98-120.
Love AEH, Some problems of Geodynamics. Cambridge University Press, London, 1965.
Sezawa K, Dispersion of elastic waves propagated on the surface of stratified bodies and on curved surfaces, Bull. Earthq. Res. Inst. Tokyo, 1927, 3, 1-18.
Thomson WT, Transmissions of elastic waves through a stratified solid medium, J. Appl. Phys., 1950, 21, 89-93.
Haskell, NA, The dispersion of surface waves in multilayered media, Bull. Seis. Soc. Amer., 1953, 43, 17-34.
Ewing WM, Jardetzky WS, Press F, Elastic waves in layered media, McGraw-Hill, New York, 1957.
M.A. Biot, Mechanics of incremental Deformations, J. Willy, 1965.
Jones JP, Wave propagation in a two layered medium, J. Appl. Mechanics, 1964, 213-222.
De SK, Sengupta PR, Influence of gravity on wave propagation in an elastic layer, J.Acanst. Soc. Am., 1974, 55, 5-13.
Sengupta PR, Acharya D, The influence of gravity on the propagation of waves in a thermoelastic layer, Rev. Romm. Sci. Techmol. Mech. Appl., Tome, 1979, 24, 395-406.
Brunelle EJ, Surface wave propagation under initial tension or compression, Bull. Seismol. Soc. Am., 1973, 63, 1895-1899.
Roy PP, Wave propagation in a thinly two layered medium with stress couples under initial stresses, Acta Mechanisms, 1984, 54, 1-21.
Datta BK, Some observation on interactions of Rayleigh waves in an elastic solid medium with the gravity field, Rev. Roumaine Sci. Tech. Ser. Mec. Appl., 1986, 31, 369-374.
Goda MA, The effect of inhomogeneity and onisotropy on Stoneley waves, Acta Mech., 1992, 93, 89-98.
Abd-Alla AM, Ahmed SM, Rayleigh waves in an orthotropic thermoelastic medium under gravity field and initial stress, J. Earth, Moon Planets, 1996, 75, 185-197.
Kakar R, Kakar S, Gupta KC, Surface wave propagation in non homogeneous, general magneto-thermo, viscoelastic media, Inter-national Journal of IT, Engineering and Applied Sciences Research, 2012, 1(1), 42-49.
Kakar R and S. Kakar, Rayleigh waves in a non-homogeneous granular media. J. Chem. Bio. Phy. Sci. Sec. B, 2012-2013, 3(1),464-509.
Kakar R, Kakar S, Thermoelastic Surface Waves Propagation in Non-Homogeneous Viscoelastic Media of Higher Order. JECET, 2012-2013, 2(1), 57-69.
Kakar R, Kakar S, Magnetoelastic Surface Waves Propagation in Non-Homogeneous Viscoelastic Media of Higher Order. J. Chem. Bio. Phy. Sci. Sec. B, 2012-2013, 3(1), 498-478.
Kakar R, Kakar S, Propagation of Stoneley, Rayleigh and Love waves in viscoelastic media of higher order. International Journal of Current Research, 2012, 4(12), 249-257.
Voigt W, Abh. Gesch. Wiss, 1887, 34.
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