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Mathematical modeling of torsional surface wave propagation in a non-homogeneous transverse isotropic elastic solid semi-infinite medium under a layer

Sethi M., Sharma A., Vasishth A.

International Journal of Applied Mechanics and Engineering

2017

Vol. 22, no. 2

415--426

The present paper deals with the mathematical modeling of the propagation of torsional surface waves in a non-homogeneous transverse isotropic elastic half-space under a rigid layer. Both rigidities and density of the half-space are assumed to vary inversely linearly with depth. Separation of variable method has been used to get the analytical solutions for the dispersion equation of the torsional surface waves. Also, the effects of nonhomogeneities on the phase velocity of torsional surface waves have been shown graphically. Also, dispersion equations have been derived for some particular cases, which are in complete agreement with some classical results.

Propagation of torsional surface waves in a heterogeneous half-space under a rigid layer

Dey S., Gupta S., Gupta A., Prasad A.

Acta Geophysica Polonica

2001

Vol. 49, nr 1

113-118

The paper discusses the possibility of propagation of torsional surface waves in a heterogeneous half-space under a rigid layer. The study reveals that, under the assumed conditions, torsional surface waves propagate in the medium. The velocities of torsional surface waves have been calculated numerically and are presented in a graph. It is observed that as the density of the medium increases the velocity of torsional wave front increases too. As a particular case it has been shown that in a homogeneous half-space under a rigid layer, a torsional wave does not propagate.