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)


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.


Love type surface waves WKB method Curved layer 


  1. 1.
    Ewing WM, Jardetzky WS, Press F (1957) Elastic waves in layered media. McGraw-Hill, New YorkCrossRefGoogle Scholar
  2. 2.
    Sahay PN, Spanos TJT, De La Cruz V (1959) Seismic wave propagation in inhomogeneous and anisotropic porous medium. Int J Geophys 145, 209–223CrossRefGoogle Scholar
  3. 3.
    Pradhan A, Samal SK, Mahanti NC (2002) Shear waves in a fluid saturaed elastic plate. Sadhana 27:595–604CrossRefGoogle Scholar
  4. 4.
    Szilard J (1982) Ultrasonic testing-non-conventional testing techniques. Wiley, New YorkGoogle Scholar
  5. 5.
    Birykov SV, Gulyaev YuV, Krylov VV, Plessky VP (1995) Surface acoustic waves in inhomogeneous media. Springer, Berlin HeidelbergCrossRefGoogle Scholar
  6. 6.
    Jin F, Wang Z, Kishimoto K (2005) Basic properties of Rayleigh surface wave propagation along curved surfaces. Int J Eng Sci 43:250–261MathSciNetCrossRefGoogle Scholar
  7. 7.
    Eringen AC, Suhubi ES (1975) Linear theory. Academic, p 2Google Scholar
  8. 8.
    Achenbach JD (1973) Wave propagation in elastic solids. North-Holland Publishing CompanyGoogle Scholar

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

Personalised recommendations