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Love Type Surface Waves in Curved Layers

  • Aditya Kumar Patnaik
  • Sapan Kumar SamalEmail author
  • Anjana P. Ghorai
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

A mathematical modeling of Love type surface waves propagating in a curved homogeneous isotropic layer lying over a curved homogeneous isotropic half-space has been considered. The variable separable and WKB methods are applied to solve the motion of differential equation of Love type surface waves propagation along with curved layer. Both the effects of two curvature of radii of curved layers which along and perpendicular to the propagation direction are taken into account. The analytical expression for Love type surface waves velocity and curvature of curved layer are obtained by setting the propagation of Love waves in plane layer as basis. The effect of radius of curvature on the phase velocity has been shown graphically.

Keywords

Love type surface waves WKB method Curved layer 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Aditya Kumar Patnaik
    • 1
  • Sapan Kumar Samal
    • 1
    Email author
  • Anjana P. Ghorai
    • 2
  1. 1.School of Applied Sciences (Mathematics) KIITDeemed to be UniversityBhubaneswarIndia
  2. 2.BIT, MesraRanchiIndia

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