Impact of Rectangular/Parabolic Shaped Irregularity on the Propagation of Shear Horizontal Wave in a Slightly Compressible Layered Structure

  • M. S. Chaki
  • S. GuhaEmail author
  • A. K. Singh
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 308)


The present paper enunciates the propagation behaviour of Shear Horizontal (SH) wave in a layered structure comprised of a slightly compressible layer overlying a slightly compressible half-space with rectangular shaped irregularity and parabolic shaped irregularity at the common interface in two distinct cases. Dispersion relations have been deduced analytically in closed form for both the cases. As a particular case, the obtained dispersion equations have been found to be in agreement with the classical Love wave equation in isotropic case. The impact of various parameters, viz. wave number, rectangular shaped irregularity and parabolic shaped irregularity associated at the common interface, on the phase velocity of SH wave has been studied for the layered structure. Numerical computation and graphical illustration has been done in order to analyse the impact of irregularity parameters (rectangular and parabolic) more profoundly for slightly compressible varga material which serves as one of the major highlight of the present study.


Slightly compressible SH wave Irregularity Perturbation method 



The Authors sincerely thank Indian Institute of Technology (Indian School of Mines), Dhanbad, India for facilitating us with best environment for research.


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of Applied MathematicsIndian Institute of Technology (Indian School of Mines)DhanbadIndia

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