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Dispersion Study of Propagation of Torsional Surface Wave in a Layered Structure

Published online by Cambridge University Press:  24 January 2017

S. Gupta  and
N. Bhengra
S. Gupta
Affiliation:
Department of Applied MathematicsIndian Institute of Technology (ISM)Dhanbad, India
N. Bhengra*
Affiliation:
Department of Applied MathematicsIndian Institute of Technology (ISM)Dhanbad, India
*
*Corresponding author ([email protected])
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Abstract

This paper presents the feasibility of torsional surface wave propagation in an anisotropic layer sandwiched between two anisotropic inhomogeneous media. The anisotropy considered in the upper layer and the lower half-space is of transversely isotropic kind while the sandwiched anisotropic layer is a porous layer. The directional rigidities and density have been considered linearly and exponentially varying in the half-space and in the upper layer respectively, while it is taken as a variable in the sandwiched layer. The compact form of dispersion equation governing the propagation of the torsional surface wave has been derived by using the Whittaker function under appropriate boundary conditions. The dispersion of the torsional wave and the effects of inhomogeneity parameters, initial stress and poroelastic constant have been calculated numerically and demonstrated through graphs.

Keywords

Torsional surface waveTransversely isotropic mediumPorous mediumWhittaker function
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 3 , June 2017 , pp. 303 - 315
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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