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Surface waves in fibre-reinforced anisotropic solid elastic media under the influence of gravity

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of the present paper is to investigate surface waves in an anisotropic, elastic solid medium under the influence of gravity. First, a theory of generalised surface waves was developed and then it was employed to investigate particular cases of waves, viz., Stoneley and Rayleigh, Love type. The wave velocity equations were obtained for different cases and they are in well agreement with the corresponding classical result, when the effect of gravity, viscosity as well as parameters for fibre-reinforcement of the material medium are ignored.
Rocznik
Strony
177--188
Opis fizyczny
Bibliogr. 29 poz.
Twórcy
autor
  • Govt. Polytechnic, Faculty of Science Hoshiarpur, INDIA
autor
  • College of Pharmacy and Technical Education Faculty of Mathematics Sangrur, INDIA
autor
  • Maharishi Markandeshwar University Faculty of Mathematics, Research Scholar Mullana, INDIA
autor
  • Maharishi Markandeshwar University Faculty of Mathematics, Research Scholar Mullana, INDIA
Bibliografia
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  • Biot M.A. (1965): Mechanics of Incremental Deformations. - J. Willey.
  • Bland D.R. (1960): The theory of linear viscoelasticity. - (London: Pergamon)(Monograph on the subject contains many cases of stress analysis.
  • Bromwich T.J. (1898): On the influence of gravity on elastic waves, and, in particular, on the vibrations of an elasticglobe. - Proc. London Math. Soc., vol.30, pp.98-120.
  • Brunelle E.J. (1973): Surface wave propagation under initial tension or compression. - Bull. Seismol. Soc. Am. 63. pp.1895-1899.
  • Bullen K.E. (1965): Theory of Seismology. - Cambridge University Press.
  • Chattopadhyay A. and Venkateswarlu R.L.K. (1998): Stresses produced in a fibre-reinforced half-space due to amoving load. - Bull. Cal. Math. Soc., vol.90, pp.337-342.
  • Chattopadhyay A., Gupta S., Sharma V.K. and Kumari P. (2010): Propagation of G-type seismic waves in viscoelasticmedium. - Int. J. of Appl. Math. and Mech., vol.6, No.9, pp.63-75.
  • Chattopadhyay A., Gupta S., Sharma V.K. and Kumari P. (2010): Effect of point source and heterogeneity on thepropagation of SH- waves. - Int. J. of Appl. Math. and Mech., vol.6, No.9, pp.76-89.
  • Datta B.K. (1986): Some observation on interactions of Rayleigh waves in an elastic solid medium with the gravityfield. - Rev. Roumaine Sci. Tech. Ser. Mec. Appl., vol.31, pp.369-374.
  • De S.K. and Sengupta P.R. (1974): Influence of gravity on wave propagation in an elastic layer. - J. Acoust. Soc. Am., vol.55, pp.919-921.
  • Eringen A.C. and Sahubi E.S. (1975): Linear Theory of Elastodynamics. - New York, London: Academic Press, vol.2.
  • Ewing W.M., Jardetzky W.S. and Press F. (1957): Elastic waves in layered media. - New York: McGraw-Hill.
  • Flugge W. (1967): Viscoelasticity. - London: Blaisdel.
  • Goda M.A. (1992): The effect of inhomogeneity and anisotropy on Stoneley waves. - Acta Mech., vol.93, No.1-4, pp.89-98.
  • Haskell N.A. (1953): The dispersion of surface waves in multilayered media. - Bull. Seis. Soc. Amer., vol.43, pp.17-34.
  • Hunter S.C. (1970): Viscoelastic waves, Progress in solid mechanics, I. (ed: Sneddon IN and Hill R) Cambridge University Press.
  • Jeffreys H. (1970): The Earth. - Cambridge University Press.
  • Jones J.P. (1964): Wave propagation in a two layered medium. - J. Appl. Mechanics, pp.213-222.
  • Lamb H. (1926): On waves in elastic plate. - Proc. R. Soc.(London) A93. pp.114-128.
  • Love A.E.H. (1965): Some Problems of Geodynamics. - London: Cambridge University Press.
  • Paria G. (1960): Love waves in granular medium. - Bull. Calcutta. Math. Soc., vol.52, No.4, pp.195-203.
  • Roy P.P. (1984): Wave propagation in a thinky two layered medium with stress couples under initial stresses. - Acta Mechanica, vol.54. pp.1-21.
  • Sengupta P.R. and Acharya D. (1979): The influence of gravity on the propagation of waves in a thermoelastic layer. - Rev. Romm. Sci. Techmol. Mech. Appl., Tome 24, pp.395-406.
  • Sezawa K. (1927): Dispersion of elastic waves propagated on the surface of stratified bodies and on curved surfaces. - Bull. Earthq. Res. Inst. Tokyo, vol.3, pp.1-18.
  • Sharma J.N. and Kaur D. (2010): Rayleigh waves in rotating thermoelastic solids with voids. - Int. J. of Appl. Math. and Mech., vol.6, No.3, pp.43-61.
  • Stoneley R. (1924): Waves at the surface of separation of two solids. - Proc. R. Soc. A 806. pp.416-428.
  • Voigt W. (1887): Abh. Gesch. Wiss, vol.34.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c796d059-d9be-473d-9e35-34d99627b9e2
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