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Surface Waves on an Isotropic Viscoelastic Half-Space: The Method of Generalized Rays

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Part of the book series: Springer Series on Wave Phenomena ((SSWAV,volume 7))

Abstract

The surface motions of an elastic and isotropic half-space produced by a localized source were studied by LAMB /1/ in a classic paper. The comprehensive survey of the literature on the Lamb problem can be found in EWING et al. /2/ and MIKLOWITZ /3/.

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References

  1. H. Lamb: Philos. Trans. R. Soc. London A 203, 1 (1904)

    Article  ADS  Google Scholar 

  2. W.M. Ewing, W.S. Jardetzky, F. Press: Elastic Waves in Layered Media ( McGraw-Hill, New York 1957 )

    MATH  Google Scholar 

  3. J. Miklowitz: The Theory of Elastic Waves and Wavequides ( North-Holland, Amsterdam 1978 )

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  4. Y.H. Pao, R.R. Gajewski: In Physical Acoustics, ed. W.P. Mason, R.N. Thurston, Vol. 13 (Academic Press, New York 1977) p. 183

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  5. F. Ziegler: Z. Angew. Math, u. Mech. 65, T15 (1985)

    MATH  Google Scholar 

  6. M. Newlands: J. Acoust. Soc. Am. 26, 434 (1954)

    Article  ADS  MathSciNet  Google Scholar 

  7. P.K. Currie, M. Hayes, P.M. O’Leary: Q. appl. Math. 35, 35 (1977)

    MATH  Google Scholar 

  8. P.K. Currie, P.M. O’Leary: Q. Appl. Math. 35, 445 (1978)

    MATH  Google Scholar 

  9. P.K. Currie, Q. appl. Math. 37, 332 (1979)

    MATH  Google Scholar 

  10. P.M. O’Leary: Proc. R. Ir. Acad. 81A, 147 (1981)

    MathSciNet  Google Scholar 

  11. P.M. O’Leary: In Recent Developments in Surface Acoustic Waves, ed. by D.F.Parker, G.A.Maugin, Springer Ser. Wave Phen. ( Springer, Berlin, Heidelberg 1988 )

    Google Scholar 

  12. G. Dasgupta, J.L. Sackman: ASME J. Appl. Mechanics 44, 57 (1977)

    Article  ADS  Google Scholar 

  13. J.A. Hudson: The Excitation and Propagation of Elastic Waves (Cambridge University Press, Cambridge 1980)

    MATH  Google Scholar 

  14. P. Borejko: Acta Mechanica 67, 79 (1987)

    Article  MATH  Google Scholar 

  15. Lord Rayleigh (J.W. Strutt): Proc. Lond. Math. Soc. 17, 4 (1885)

    Article  Google Scholar 

  16. D.R. Bland: The Theory of Linear Viscoelasticity (Pergamon Press, Oxford 1960)

    MATH  Google Scholar 

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© 1988 Springer-Verlag Berlin Heidelberg

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Borejko, P., Ziegler, F. (1988). Surface Waves on an Isotropic Viscoelastic Half-Space: The Method of Generalized Rays. In: Parker, D.F., Maugin, G.A. (eds) Recent Developments in Surface Acoustic Waves. Springer Series on Wave Phenomena, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83508-7_31

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  • DOI: https://doi.org/10.1007/978-3-642-83508-7_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83510-0

  • Online ISBN: 978-3-642-83508-7

  • eBook Packages: Springer Book Archive

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