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      https://www.ias.ac.in/article/fulltext/jess/128/06/0160

    • Keywords

       

      Point source; Green’s function; fourier transformation; viscoelastic; orthotropic; initial stress.

    • Abstract

       

      The propagation of SH wave in a heterogeneous initially stressed viscoelastic layer lying over a heterogeneous initially stressed orthotropic half-space due to a point source is analysed mathematically. The dispersion equation of SH wave is obtained for the propagation of SH wave in a specified model. The method of Green’s function and Fourier transformation is incorporated to obtain the dispersion equation. The curves of dispersion equation are sketched for various values of heterogeneous parameters and initial stress on angular frequency, phase velocity and damping velocity in respect of wave number. The dispersion equation is derived for some special cases which reduces to the classical equation of Love-type wave. The present study reveals the effect of heterogeneous parameter and initial stress associated with both viscoelastic and orthotropic media.

    • Author Affiliations

       

      Shishir Gupta1 Snehamoy Pramanik1 Smita 1 Arun Kumar Verma2

      1. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India.
      2. Department of Mathematics, Hampton University, Hampton, USA.
    • Dates

       
  • Journal of Earth System Science | News

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