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.