Effect of Rigid Boundary on Propagation of Torsional Surface Waves in Porous Elastic Layer

S. Gupta; A. Chattopadhyay; D. K. Majhi

doi:10.3879/j.issn.1000-0887.2011.03.007

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S. Gupta, A. Chattopadhyay, D. K. Majhi. Effect of Rigid Boundary on Propagation of Torsional Surface Waves in Porous Elastic Layer[J]. Applied Mathematics and Mechanics, 2011, 32(3): 312-323. doi: 10.3879/j.issn.1000-0887.2011.03.007

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Effect of Rigid Boundary on Propagation of Torsional Surface Waves in Porous Elastic Layer

doi: 10.3879/j.issn.1000-0887.2011.03.007

Department of Applied Mathematics, Indian School of Mines, Dhanbad 826004, India

Received Date: 2010-05-07
Rev Recd Date: 2011-01-08
Publish Date: 2011-03-15

Abstract

Abstract

The effect of rigid boundary on the propagation of torsional surface waves in a porous elastic layer over a porous elastic half space was presented using the mechanics of the medium as derived by Cowin and Nunziato.The velocity equation was derived and the results were discussed.It is observed that there may be two torsional surface wave fronts in the medium whereas there exists three wave fronts of torsional surface waves in the absence of rigid boundary plane given by Dey et al(Tamkang Journal of Science and Engineering,2003,6(4):241-249.).The results also reveals that in the porous layer,the Love wave is also available along with the torsional surface waves.It is remarkable that phase speed of Love wave in a porous layer with rigid surface is different from that in a porous layer with a free surface.The torsional waves are observed to be dispersive in nature,and the velocity decreases as the frequency of oscillation increases.
- torsional surface waves,
- Love wave,
- rigid boundary,
- porous,
- wave front

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References(24)

References

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