Technical Papers
Apr 14, 2014

Shear Waves in a Heterogeneous Fiber-Reinforced Layer over a Half-Space under Gravity

Publication: International Journal of Geomechanics
Volume 15, Issue 2

Abstract

This paper studies the propagation of horizontally polarized shear waves (SH-waves) in a heterogeneous fiber-reinforced medium over a heterogeneous half-space under gravity. The inhomogeneity of the layer and half-space is caused by the exponential variations of elastic parameters. Dispersion relation is obtained in a closed form, which is in agreement with the classical Love wave equation. The effect of heterogeneity, reinforcement, and gravity is studied and is represented by a graph. It is observed that inhomogeneity, reinforcement, and gravity have a significant effect on the velocity profile of SH-waves.

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Acknowledgments

The authors thank the Indian School of Mines, Dhanbad, for providing a scholarship to Mr. Pradeep K. Saroj and for the use of facilities for research. They express their sincere thanks to the honorable reviewers for their useful suggestions and valuable remarks, which helped very much to enhance the quality of this paper.

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Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 15Issue 2April 2015

History

Received: Oct 3, 2013
Accepted: Mar 24, 2014
Published online: Apr 14, 2014
Published in print: Apr 1, 2015

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Authors

Affiliations

Sanjeev A. Sahu [email protected]
Assistant Professor, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand 826004, India (corresponding author). E-mail: [email protected]
Pradeep K. Saroj
Ph.D. Student, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand 826004, India.
Brijendra Paswan
Ph.D. Student, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand 826004, India.

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