Shear Waves in an Inhomogeneous Viscoelastic Layer Resting over a Prestressed Orthotropic Substrate
Publication: International Journal of Geomechanics
Volume 17, Issue 6
Abstract
This paper intends to study the dispersive nature of shear waves transmitting in an inhomogeneous viscoelastic layer embedded over a prestressed orthotropic substrate. The frequency equations obtained under the combined effect of viscoelasticity and inhomogeneity were analyzed. It has been observed that the phase velocity of the shear wave is influenced by the prestress present in the half-space. The method of separation of variables has been incorporated to deduce the dispersion equation of the shear wave. Consequently, it has been found that the dispersion equations from the real and damped parts converged with the classical Love wave equation under certain suitable conditions. The graphical representations show that inhomogeneity, viscoelasticity, prestress, and shear moduli had a remarkable effect on the phase velocity of the shear wave.
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Acknowledgments
The fellowship received from the University Grants Commission, New Delhi, through Grant F(0).7-79/2007(BSR) is gratefully acknowledged by the authors.
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© 2016 American Society of Civil Engineers.
History
Received: Jan 15, 2016
Accepted: Oct 11, 2016
Published online: Nov 17, 2016
Discussion open until: Apr 17, 2017
Published in print: Jun 1, 2017
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