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Advances in Mathematical Physics
Volume 2014, Article ID 163505, 9 pages
http://dx.doi.org/10.1155/2014/163505
Research Article

Shear Wave Propagation in Multilayered Medium including an Irregular Fluid Saturated Porous Stratum with Rigid Boundary

1Department of Mathematics, Maharshi Dayanand University, Rohtak, Haryana 124 001, India
2Department of Mathematics, TIT&S, Bhiwani, Haryana 127 021, India

Received 25 June 2014; Revised 5 September 2014; Accepted 8 September 2014; Published 12 November 2014

Academic Editor: Klaus Kirsten

Copyright © 2014 Ravinder Kumar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. Bhattacharya, “On the dispersion curve for Love wave due to irregularity in the thickness of the transversely isotropic crustal layer,” Gerlands Beiträge zur Geophysik, vol. 6, pp. 324–334, 1962. View at Google Scholar
  2. J. P. Jones, “Wave propagation in a two-layered medium,” Journal of Applied Mechanics, vol. 31, pp. 213–222, 1964. View at Google Scholar · View at MathSciNet
  3. A. Chattopadhyay, “On the dispersion equation for Love wave due to irregularity in the thickness of the non-homogeneous crustal layer,” Acta Geophysica Polonica, vol. 23, pp. 307–317, 1975. View at Google Scholar
  4. M. A. Biot, “Propagation of elastic waves in liquid filled porous solid,” Journal of Applied Physics, vol. 27, pp. 459–467, 1956. View at Publisher · View at Google Scholar
  5. H. Deresiewicz, “The effect of boundaries on wave propagation in a liquid-filled porous solid, I: reflection of plane waves at a free plane boundary (non-dissipative case),” Bulletin of the Seismological Society of America, vol. 50, pp. 599–607, 1960. View at Google Scholar · View at MathSciNet
  6. A. Chattopadhyay, M. Chakraborty, and A. K. Pal, “Effects of irregularity on the propagation of guided SHwaves,” Journal de Mecanique Theorique et Appliquee, vol. 2, no. 2, pp. 215–225, 1983. View at Google Scholar · View at Scopus
  7. A. Chattopadhyay and R. K. De, “Love type waves in a porous layer with irregular interface,” International Journal of Engineering Science, vol. 21, no. 11, pp. 1295–1303, 1983. View at Publisher · View at Google Scholar · View at Scopus
  8. M. A. Biot, Mechanics of Incremental Deformation, John Wiley & Sons, New York, NY, USA, 1961.
  9. Z. Kończak, “On propagation of shear waves in a multilayer medium including a fluid-saturated porous stratum,” Acta Mechanica, vol. 79, no. 3-4, pp. 169–181, 1989. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. S. Gupta, A. Chattopadhyay, and S. Kundu, “Influence of irregularity and rigidity on the propagation of torsional wave,” Applied Mathematical Sciences, vol. 4, no. 17–20, pp. 805–816, 2010. View at Google Scholar · View at MathSciNet · View at Scopus
  11. S. Kundu, S. Gupta, and D. K. Majhi, “Love wave propagation in porous rigid layer lying over an initially stressed half space,” Applied Physics & Mathematics, vol. 3, no. 2, pp. 140–142, 2013. View at Google Scholar
  12. D. K. Madan, R. Kumar, and J. S. Sikka, “Love wave propagation in an irregular fluid saturated porous anisotropic layer with rigid boundary,” Journal of Applied Sciences Research, vol. 10, no. 4, pp. 281–287, 2014. View at Google Scholar
  13. M. A. Biot, “Generalized theory of acoustic propagation in porous dissipative media,” Acoustical Society of America, vol. 34, pp. 1254–1264, 1962. View at Publisher · View at Google Scholar · View at MathSciNet
  14. H. Lamb, “On waves in elastic plate,” Proceedings of the Royal Society of London A, vol. 93, pp. 114–128, 1926. View at Google Scholar
  15. J. Miklowitz, “Elastic wave propagation,” in Applied Mechanics Surveys, pp. 830–836, Spartan Books, Washington, DC, USA, 1966. View at Google Scholar
  16. H. Keolsky, “The propagation of stress waves in viscoelastic solids,” in Applied Mechanics Surveys, Spartan Books, 1966. View at Google Scholar
  17. W. M. Ewing, W. S. Jardetzky, and F. Press, Elastic Waves in Layered Media, McGraw-Hill, London, UK, 1957. View at MathSciNet
  18. M. A. Biot, “Theory of elasticity and consolidation for a porous anisotropic solid,” Journal of Applied Physics, vol. 26, pp. 182–185, 1955. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. H. F. Willis, “A formula for expanding an integral as a series,” Philosophical Magazine, vol. 39, pp. 455–459, 1948. View at Google Scholar
  20. C. J. Tranter, Integral Transform in Mathematical Physics, Mathuen, 1966.
  21. H. Ding, W. Chen, and L. Zhang, Elasticity of Transversely Isotropic Materials, Springer, 2006. View at MathSciNet