Volume No. :   5

Issue No. :  1

Year :  2013

ISSN Print :  0975-4393

ISSN Online :  2349-2988


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Effect of Rigid Boundary, Initial Stress and Inhomogeneity on the Propagation of Torsional Surface Waves



Address:   Amares Chattopadhyay*, Sudarshan Dhua, Sanjeev A. Sahu
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, Jharkhand, India
*Corresponding Author
DOI No:

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.
KEYWORDS:
Rigid boundary, Initial stress, Inhomogeneity, Torsional Surface Waves, Dispersion relation.
Cite:
Amares Chattopadhyay, Sudarshan Dhua, Sanjeev A. Sahu. Effect of Rigid Boundary, Initial Stress and Inhomogeneity on the Propagation of Torsional Surface Waves. Research J. Science and Tech 5(1): Jan.-Mar.2013 page 160-164.
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