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Propagation of Love-Type Wave in a Corrugated Fibre-Reinforced Layer

Published online by Cambridge University Press:  17 June 2016

A. K. Singh ,
K. C. Mistri  and
A. Das
A. K. Singh
Affiliation:
Department of Applied MathematicsIndian School of MinesDhanbad, India
K. C. Mistri*
Affiliation:
Department of Applied MathematicsIndian School of MinesDhanbad, India
A. Das
Affiliation:
Department of Applied MathematicsIndian School of MinesDhanbad, India
*
*Corresponding author (kchmistri@gmail.com)
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Abstract

The present paper investigates the propagation of Love-type waves in an initially stressed heterogeneous fibre-reinforced layer with corrugated boundary surfaces, lying over a viscoelastic half-space under hydrostatic state of stress. The dispersion relation is obtained in closed form and found to be in well-agreement with the classical Love wave equation. The substantial effect of reinforcement, position and undulation parameters (i.e. corrugation), heterogeneity, horizontal initial stress and hydrostatic state of stress are discussed briefly. It is established through comparative study that reinforced layer supports more to phase velocity of Love-type wave as compare to reinforced free layer.

Keywords

Corrugated boundariesFibre-reinforcedLove-type wavesViscoelastic
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 6 , December 2016 , pp. 693 - 708
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

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