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SH-wave propagation in linearly varying fiber-reinforced viscoelastic composite structure uninitial stress

  • Sumit Kumar VishwakarmaEmail author
  • Tapas Ranjan Panigrahi
  • Rupinderjit Kaur
Original Paper
  • 16 Downloads

Abstract

The paper studies the behavior of horizontally polarized shear wave (SH-wave) in an initially stressed fiber-reinforced viscoelastic composite structure, where the elastic parameters vary linearly along the depth of the crustal layer. The displacements in each media have been calculated analytically and closed form dispersion equation has been derived with the help of intrinsic boundary conditions. The dispersion equation thus obtained is a complex valued function, whose real part contains the phase velocity and the imaginary part contains the damped velocity. To demonstrate the effect of various parameters, numerical simulations have been conducted and graphs have been plotted for the phase velocity and the damped velocity against the wave number. Furthermore, a comparative study has been undertaken by means of graphical illustrations to explain its remarkable effects.

Keywords

SH-wave Fiber-reinforcement Initial stress Half-space Phase velocity Damped velocity Dispersion equation Viscoelastic medium 

Notes

Funding information

This study is financially supported by the SERB, DST, New Delhi under Early Career Research Award with Ref. No. ECR/2017/001185.

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Copyright information

© Saudi Society for Geosciences 2019

Authors and Affiliations

  • Sumit Kumar Vishwakarma
    • 1
    Email author
  • Tapas Ranjan Panigrahi
    • 1
  • Rupinderjit Kaur
    • 1
  1. 1.Department of MathematicsBITS-PilaniHyderabadIndia

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