Effects of Anisotropy, Initial Stress, Heterogeneity, and Gravity on Torsional Wave Propagation

Abstract

The present paper provides the results of a study of the propagation of torsional surface waves in an initially stressed self-reinforced layer lying over a dry sandy Gibson half-space in the presence of initial stress and gravity. The closed-form dispersion relation was obtained analytically. The influences of initial stress, reinforcement, inhomogeneity, gravity, and sandy parameter on the torsional wave were investigated by plotting the dispersion curves. It was observed that the rigidities, initial stress, and sandy parameter of the half-space have a favoring effect on the phase velocity, whereas gravity has the reverse effect on the velocity of the torsional surface wave. It also was noted that as reinforcement increased in the medium, the phase velocity also increased significantly.