Effect of Rigid Boundary, Initial Stress and Inhomogeneity on the Propagation of Torsional Surface Waves Chattopadhyay Amares*, Dhua Sudarshan**, Sahu Sanjeev A.*** Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, Jharkhand, India *Corresponding Author: amares.c@gmail.com
**dhuasudarshan@gmail.com
***ism.sanjeev@gmail.com
Online published on 5 February, 2014. Abstract This paper is developed to investigate the effect of presence of rigid boundary on the propagation of torsional surface waves in non homogeneous anisotropic half-space under initial stress. It has been assumed that the rigidity, initial compressive stress and density vary linearly with depth. The medium with assumed conditions allow the propagation of torsional surface waves. The dispersion relation has been obtained in a closed form and presented by means of graphs. It has been observed that when the initial stress increases, the velocity of torsional wave decreases and the increase of anisotropy factor increase the velocity. Also the velocity of torsional waves increases with the increases nonhomogeneity parameters. Top Keywords Rigid boundary, Initial stress, Inhomogeneity, Torsional Surface Waves, Dispersion relation. Top |