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

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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.

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Funding

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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Authors and Affiliations

  1. Department of Mathematics, BITS-Pilani, Hyderabad Campus, Hyderabad, 500078, India

    Sumit Kumar Vishwakarma, Tapas Ranjan Panigrahi & Rupinderjit Kaur

Authors
  1. Sumit Kumar Vishwakarma
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  2. Tapas Ranjan Panigrahi
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  3. Rupinderjit Kaur
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Correspondence to Sumit Kumar Vishwakarma.

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Vishwakarma, S.K., Panigrahi, T.R. & Kaur, R. SH-wave propagation in linearly varying fiber-reinforced viscoelastic composite structure uninitial stress. Arab J Geosci 12, 59 (2019). https://doi.org/10.1007/s12517-018-4211-1

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  • DOI: https://doi.org/10.1007/s12517-018-4211-1

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