Dey, S., Gupta, S., Gupta, A.K. and Prasad, A.M. (2001) Propagation of Torsional Surface Waves in a Heterogeneous Half-Space under Rigid Layer. Acta Geophysica Polonica, XLLX, 113-118.

has been cited by the following article:

• TITLE: Mathematical Modeling and Analysis of Torsional Surface Waves in a Transverse Isotropic Elastic Solid Semi-Infinite Medium with Varying Rigidity and Density under a Rigid Layer

  AUTHORS: Anjana P. Ghorai, Rekha Tiwary

  KEYWORDS: Torsional Surface Waves, Transverse Isotropic Elastic Medium, Phase Velocity

  JOURNAL NAME: Applied Mathematics, Vol.5 No.6, April 8, 2014

  ABSTRACT: In this paper, mathematical modeling of the propagation of torsional surface waves in a transverse isotropic elastic medium with varying rigidity and density under a rigid layer has been considered. The equation of motion has been formulated in the elastic medium using suitable boundary conditions. The frequency equation containing Whittaker’s function for phase velocity due to torsional surface waves has been derived. The effect of rigid layer in the propagation of torsional surface waves in a transverse isotropic elastic medium with varying rigidity and density has been discussed. The numerical results have been shown graphically. It is observed that the influence of transverse and longitudinal rigidity and density of the medium have a remarkable effect on the propagation of the torsional surface waves. Frequency equations have also been derived for some particular cases, which are in perfect agreement with some standard results.