Diffraction of Torsional Surface Wave in a Voigt Layer Overlying a Prestressed Heterogeneous Substratum
Publication: International Journal of Geomechanics
Volume 16, Issue 4
Abstract
This paper discusses the torsional surface wave in a Voigt-type layer placed over an initially stressed heterogeneous semi-infinite substratum. The heterogeneities in the semi-infinite substratum are thought to emerge as a result of exponential variation in rigidity, density, and initial stress. A closed-form dispersion relation for the torsional surface waves under the considered geometry was obtained. The effect of various technical constants, such as internal friction parameter, stress parameter, heterogeneity parameter, dissipation factor, complex wave number, and thickness of the layer, were studied numerically by plotting various graphs between the nondimensional angular frequencies against the nondimensional real wave number for the torsional surface wave propagation. The numerical solution for the limiting case of torsional surface waves is also presented. In the absence of the considered technical constants, the obtained results are in close agreement with the results obtained by other relevant researchers. The present work exhibits scientific results applicable to the field of earthquake engineering and applied informatics.
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Acknowledgments
The authors thank the anonymous reviewers for their valuable comments.
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Published In
International Journal of Geomechanics
Volume 16 • Issue 4 • August 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Apr 7, 2015
Accepted: Oct 16, 2015
Published online: Jan 22, 2016
Discussion open until: Jun 22, 2016
Published in print: Aug 1, 2016
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