Surface Waves In Visco-Elastic Initially Stressed Solid

Authors:

Sudipta Sengupta,Indrajit Roy,

DOI NO:

https://doi.org/10.26782/jmcms.2006.07.00002

Keywords:

Surface wave,Visco-elastic solid,Initial stress,

Abstract

The objective of this investigation is to study general surface waves and Rayleigh, love and stoneley waves as particular cases in visco-elastic solids under initial stress of hydrostatic tension or compression. Firstly, the general theory of surface waves in visco-elastic solids under initial stress has been formulated. The visco-elasticity of the solid medium involving time rate of stress and strain is considered to be of first order, The investigated problem and the wave-velocity equations are in fair agreement with the corresponding results of the classical problems in absence of viscosity and initial stress.

Refference:

I. A.E.H. Love, A Treatise on the Mathematical theory of Elasticity, Cam. Univ. Press. Fourth Ed.(1953).

II. M.A. Boit. Mechanics of incremental Deformations, John Wiley & Sons, Inc. New York (1965).

III. M.A. Boit. Theory of Elasticity with Large Displacements and Rotations, John Wiley & Sons, Inc. New York, Chapman & Hall LTD. London.(1939).

IV. M.A. Boit. Nonlinear theory of Elasticity and the linearized case for a body under initial stress philosophical Magazing, 27,(1939),468.

V. M.A. Boit. Jour. Appl. Phys., 10,(1939),860.

VI. M.A. Boit.Jour. Appl. Phys.,2 1940, 552.

VII. C.P.Yu, and S. Tang,ZAMP, 17, 1966, 766.

VIII. W.Flugge, Visco-elasticity, Blaisdell publishing Co. London.(1967).

IX. D.R.Bland, The Theory of Linear Visco-elasticity, Pergamon press, London.(1960).

X. S.C. Hunter, Visco-elastic waves, progress in Solid Mechanics(eds), I.N. Sneddon and R.Hill, North interscience , Amsterdam, New York. (1960).

XI. Sri H. Jeffreys, Min. Nat. R. Aste. Soc. Geophys. Suppl 1 (1925) 282.

XII. Sri H. Jeffreys, Min. Nat. R. Aste. Soc. Geophys. Suppl 3 (1935)253.

XIII. Sri H. Jeffreys, Min. Nat. R. Aste. Soc. Suppl.7 (1957),332.

XIV. Sri H. Jeffreys, The Earth, Cambridge University Press, Fourth Edition. (1959).

XV. L Rayleight, (Struff, J.W) Proc. Lond. Math. Soc. 17, (1885), 4.

XVI. R. Stoncley, Proc. Roy. Soc.A- 106,(1924), 416.

XVII.R. Stoncley, Mon. Nat. R. Astr. Sog. Geophys. Suppl. 4,(1937) 43.

XVIII. Stoncley, R.(1955), Rayleigh waves in a medium with two surface layers, MOn.Nat.R.Astr.Soc.Geophys. Suppl.6(1955) 610,7,(1955),7.

XIX. W.Voigt, Theoretische Studien uber die Elasticitats Verhaltniss der Krystalle, Abh. Ges. Wiss. Gottingen 34(1887).

XX. S. Dey, & P.K..De, (1999), Sadhana, 24,(1999) 215.

XXI. D.P. Acharya, & Asit Mondal, Sadhana,27,(2002) 605.

XXII. P.K. Pal, D. Acharya, & P.R. Sengupta, Sadhana,, 22, (1997) 659.

Sudipta Sengupta , Indrajit Roy View Download