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Propagation of Rayleigh waves in non-homogeneous elastic half-space of orthotropic material under initial compression and influence of gravity

Journal Name:

  • Mathematica Æterna

Publication Year:

  • 2012

Key Words:

Author NameFaculty of Author
Abstract (2. Language): 
The aim of the present paper is to investigate the propagation of surface waves in a non-homogeneous, orthotropic elastic solid medium under the influence of initial compression and gravity. The wave velocity equation has been obtained. When the gravity field and non-homogeneity of the material medium vanishes, the medium is isotropic and unstressed, the frequency equation is in complete agreement with the corresponding classical results.
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  • 10
901-910
  • English

REFERENCES

References: 

1]Abd-Alla AM and Ahmed SM (1996). Rayleigh waves in an orthotropic
thermoelastic medium under gravity field and initial stress. J. Earth, Moon Planets
75, pp.185-197.
[2]Ahmed SM (1999). Influence of gravity on the propagation of waves in
granular medium. Appl.Math.Compu.101, no.2-3. pp. 269-280.
[3]Biot MA (1965). Mechanics of incremental Deformations, J. Willy.
[4]Bromwich TJ (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.
[5]Brunelle EJ (1973).Surface wave propagation under initial tension or
compression. Bull. Seismol. Soc. Am. 63. pp. 1895-1899.
[6]Chattopadhyay A, Gupta S, Sharma VK and Kumari P (2010). Effect of point
source and heterogeneity on the propagation of SH- waves. Int. J. of appl. Math.
and Mech. 6(9): pp.76-89.
[7]Datta BK (1986). Some observation on interactions of Rayleigh waves in an
elastic solid medium with the gravity field. Rev. Roumaine Sci. Tech. Ser. Mec.
Appl. 31, pp. 369-374.
[8]De SK and Sengupta PR (1974). Influence of gravity on wave propagation in
an elastic layer, J.Acanst. Soc. Am. 55. pp. 5-13.[9]Ewing WM, Jardetzky WS, and Press F (1957). Elastic waves in layered
media. Mcgraw-Hill, New York.
[10]Goda MA (1992). The effect of inhomogeneity and anisotropy on Stoneley
waves. Acta Mech. 93, no.1-4. pp. 89-98.
[11]Haskell NA (1953). The dispersion of surface waves in multilayered media.
Bull. Seis. Soc. Amer. 43. pp. 17-34.
[12]Jones JP (1964). Wave propagation in a two layered medium. J. Appl.
Mechanics, pp. 213-222.
[13]Love AEH (1965). Some problems of Geodynamics. Cambridge University
Press, London.
[14]El-Naggar,Abd-Alla AM and Ahmed SM (1994). Rayleigh waves in a
megnatoelastic initially stressed conducting medium with the gravity field.
Bull.Calcutta Math. Soc.86, no.3. pp. 243-248.
[15]Roy PP(1984). Wave propagation in a thin two layered medium with stress
couples under initial stresses. Acta Mechanics 54. pp. 1-21.
[16]Sengupta PR 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.
[17]Sezawa K (1927). Dispersion of elastic waves propagated on the surface of
stratified bodies and on curved surfaces. Bull. Earthq. Res. Inst. Tokyo, 3. pp. 1-
18.
[18]Sharma JN and Kaur D (2010). Rayleigh waves in rotating thermo-elastic
solids with voids. Int. J. of appl. Math. and Mech. 6(3): pp.43-61.
[19]Willson W (1963). The propagation of megnato-thermo, elastic plane waves
Proc.Cambridge Philos. Soc. 59. pp. 483-488.
[20]Yu CP and Tang S (1966). Magneto elastic waves in initially stressed
conductors. Z. Angew. Math. Phys.17. pp. 766-775.

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