Eigenfunctions of Rayleigh Wave in Viscoelastic Halfspace

Abstract:

In this paper, the eigenfunctions of Rayleigh wave in viscoelastic halfspace is studied. By comparing the eigenfunctions of Rayleigh wave in viscoelastic halfspace and the corresponding elastic halfspace, we found the penetration depth of Rayleigh wave in viscoelastic halfspace is always larger than in the corresponding elastic halfspace. But the difference is small. The ratio of penetration depth and wave length under different cases is calculated, the results show penetration ability of Rayleigh wave in viscoelastic halfspace is always stronger than the corresponding elastic case, and penetration ability of Rayleigh wave gets weaker when the Poisson's ratio is smaller. The penetration ability of Rayleigh wave is stronger when the Q value is smaller. The study in the paper is meaningful for the further research of Rayleigh wave in viscoelastic media.

• Periodical: Applied Mechanics and Materials (Volume 598)
• Pages: 486-489
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.598.486
• Online since: July 2014
• Authors: Dong Mei Chang*, Xue Feng Liu
• Keywords: Eigenfunction, Halfspace, Rayleigh Wave, Viscoelastic

References

[1] L. Rayleigh: Proc. London Math. Soc. Vol. 17 (1885), p.4~11.

[2] S. M. Day and J. B. Minster: Geophys. J. Int. Vol. 78 (1984), p.105~118.

[3] J. M. Carcione: Geophys. J. Int. Vol. 108 (1992), p.453~464.

[4] C. G. Lai and G. J. Rix: B. Seismol. Soc. Am. Vol. 92 (2002), p.2297~2309.

[5] D. Nkemzi: Wave Motion Vol. 26 (1997), p.199~205.

[6] X. F. Liu and Y. H. Fan: Advanced Materials Research Vol. 452-453 (2012), p.233~237.

[7] P.C. Vinh and R.W. Ogden: Wave Motion Vol. 39 (2004), 191~197.

[8] J. O. Blanch, O. A. J. Robertsson and W. S. William: Geophysics Vol. 60 (1995), 176~184.