ON INTERFACE WAVES IN SECOND ORDER THERMO-VISCOELASTIC SOLID MEDIA UNDER THE INFLUENCE OF GRAVITY

admin May 9, 2015

Authors:

D.P. Acharya,Indrajit Roy,H.S. Chakraborty.,

DOI NO:

https://doi.org/10.26782/jmcms.2008.12.00004

Keywords:

Thermo-viscoelastic solid,Surface wave,Rayleigh wave,Wave velocity,,Gravity,

Abstract

The aim of the present paper is to investigate interface waves (surface waves) of Earthquakes in second order thermo-viscoelastic solid media under the influence of gravity. The displacement components are expressed in terms of displacement potentials. The problem of surface waves, particularly, Rayleigh waves, Love waves and stoneley waves have been determined. All final results and Equations are in fair agreement with the corresponding classical results when the effect of temperature, viscosity and gravity are ignored.  

Refference:

I. Love AEH(1911) Some problems of Geodynamics. Dover, New York.

II. Stoneley R (1924) Elastic waves at the surface of separation of two solids. Proc. Roy. Soc. London A-106, pp. 416-428.

III. Bullen KE(1965) An introduction to the Theory of Seismology. Cambridge University Press,. London. pp.85-99.

IV. Jeffreys. Sir H (1970) The Earth, Cambridge University Press.

V. Bromwich TJIA(1898) On the influence of gravity on elastic waves and in particular on the vibrations of an elastic globe. Proc. London Math. Soc.30, pp.98-120.

VI. De SN and Sengupta PR (1975) Therm-elastic Rayleigh waves under the influence of gravity. Gerlands Betir. Geophysik. 84(6), pp.509-514.

VII. De SN and Sengupta PR (1976) Surface waves under the influence of gravity. Gerlands Betir. Geophysik.85(4), pp.311-318.

VIII. Das TK and Sengupta PR(1992) Effect of gravity on visco-elastic surface waves in solids involving time rate of strain and stress of first order. Sadhana. 17(2), pp.315-323.

IX. Das TK, Sengupta PR, and Debnath L (1995). Effect of gravity on visco-elastic surface waves in solids involving time rate of strain and stress of higher order. Int. J. Math. Sci. 18(1), pp. 71-76.

X. Ghosh NC, Roy I and Biswas PK. (2000)  Effect of gravity and couple-stress on thermo-visco-elastic Rayleigh waves involving stress rate and strain rate. J.Bih. Math. Soc. 20, pp.89-99.

XI. Boot MA (1965)  Mechanics of incremental deformations, Theory of elasticity and viscoelasticity of initially stressed stressed solids and fluids, including thermodynamic foundation and application to finite strain, John Wiley & Sons, New York. 44-45, 273-281.

XII. Mukherjee A and Sengupta PR(1991) Surface waves in thermo visco-elastic media of higher order. Ind. J. Pure. APPL. Math.22(2), pp.159-167.

 

D. P. Acharya, Indrajit Roy ,H. S. Chakraborty View Download