Propagation of Torsional Surface Waves in an Elastic Layer with Void Pores over an Elastic Half Space with Void Pores

S. Dey; S. Gupta; A.K. Gupta; S.K. Kar; P.K. De

doi:10.6180/jase.2003.6.4.08

Propagation of Torsional Surface Waves in an Elastic Layer with Void Pores over an Elastic Half Space with Void Pores

S. Dey¹ , S. Gupta This email address is being protected from spambots. You need JavaScript enabled to view it.¹, A. K. Gupta² , S. K. Kar¹ and P. K. De¹

¹Department of Applied Mathematics Indian School of Mines Dhanbad − 826004, Jharkhand, India.
²Department of Applied Geophysics Indian School of Mines Dhanbad − 826004, Jharkhand, India

Received: June 19, 2003
Accepted: October 6, 2003
Publication Date: December 1, 2003

Download Citation: ||https://doi.org/10.6180/jase.2003.6.4.08

ABSTRACT

The paper studies the possibility of propagation of torsional surface waves in an elastic layer with void pores over an elastic medium with void pores using the mechanics of the medium as derived by Cowin and Nunziato. The velocity equation has been derived and the results have been discussed. The study reveals that there may be more than one torsional surface wave fronts and one Love wave front in the medium. It is also observed that in the absence of superficial layer, the elastic half space with void pores allows torsional surface waves, to the contrary, that elastic half space without pores does not do so.

Keywords: Torsional Surface Waves, Void Pores, Equilibrated Inertia, Wave Fronts

REFERENCES

[1] Ewing, W. M., Jardetzky, W. S. and Press, F., “Elastic Waves in layered Media,” McGrawHill, NY, U.S.A. (1957).
[2] Rayleigh Lord, “Theory of Sound,” Dover, NY, U.S.A. (1945).
[3] Meissner, E., “Elastic Oberflachenwellen mit Dispersion in einem Inhomogenen Medium,” Viertelgahrsschriftder Naturforschenden Ge-sellschaft in Zurich, Vol. 66, pp. 181-195 (1921).
[4] Vardoulakis, I., “Torsional Surface Wave in Inhomogeneous Elastic Media,” Int. J. Numer. Anal. Methods Geomech., Vol. 8, pp. 287-296 (1984).
[5] Dey, S. and Dutta, D., “Torsional Wave Propagation in an Initially Stressed Cylinder,” Proc. Indian Nat. Sci. Acad. A, Vol. 58, pp. 425-429 (1992).
[6] Dey, S., Gupta, A. K. and Gupta, S., “Propagation of Torsional Surface Waves in a Viscoelastic Medium,” Int. J. Numer. Anal. Methods Geomech., Vol. 19, pp. 209-213 (1996).
[7] Dey, S., Gupta, A. K. and Gupta, S., “The Propagation of Torsional Surface Waves in a Homogeneous Substratum over a Heterogeneous Half Space.” Int. J. Numer. Anal. Methods Geomech., Vol. 20, pp. 287-294 (1996).
[8] Dey, S., Gupta, A. K. and Gupta, S., “Torsional Surface Waves in Nonhomogeneous and Anisotropic Medium,” J. Acoust. Soc. Am., Vol. 99, pp. 2737-2741, (1996).
[9] Dey, S. and Gupta, S., “Propagation of Longitudinal and Shear Waves in Void Medium,” Proc. Indian Natn. Sci. Acad., Vol. 53 A, No. 4 (1987).
[10] Dey, S., Gupta, S. and Gupta, A. K., “Torsional Surface Wave in an Elastic Half Space with Void Pores,” Int. J. Numer. Anal. Methods Geomech., Vol. 17, pp. 197-204 (1993).
[11] Cowin, S. C. and Nunziato, W. J., “Linear Elastic Material with Void Pores,” J. Elasticity, Vol. 13, p. 125 (1983).