Technical Papers
Aug 16, 2016

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

Publication: International Journal of Geomechanics
Volume 17, Issue 3

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.

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Acknowledgments

The authors convey their sincere thanks to Indian School of Mines, Dhanbad, for offering fellowships to Miss Mita Chatterjee and also providing us with best facilities.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 17Issue 3March 2017

History

Received: Aug 20, 2014
Accepted: May 26, 2016
Published online: Aug 16, 2016
Discussion open until: Jan 16, 2017
Published in print: Mar 1, 2017

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Authors

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Sudarshan Dhua [email protected]
Assistant Professor, Dept. of Mathematics, National Institute of Technology, Calicut, Kozhikode, Kerala 673601, India (corresponding author). E-mail: [email protected]
Mita Chatterjee [email protected]
Research Scholar, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand 826004, India. E-mail: [email protected]
Amares Chattopadhyay [email protected]
Professor, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand 826004, India. E-mail: [email protected]

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