pure and applied geophysics

, Volume 102, Issue 1, pp 29–36 | Cite as

On love waves in inhomogeneous anisotropic elastic solids

  • U. C. Pan
  • S. K. Chakrabarty


This paper consists of two parts. In the first part, the existence of Love waves in non-homogeneous and transversely-isotropic elastic layer over-lying a semi-infinite isotropic elastic solid has been investigated. The frequency equation for such waves has been derived. Numerical calculations giving the velocity of such waves has been made for different layer thicknesses. In the second part, a characteristic frequency equation has been calculated considering the lower boundary of the layer to be rigid. A numerical calculations has been made in this case also to represent the variation of wave number with velocity for different mode number.


Layer Thickness Lower Boundary Numerical Calculation Characteristic Frequency Mode Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    M. Mitra,Note on a type of surface waves travelling in a semi-infinite solid of varying elasticity and density, Bull. Seism. Soc. Amer.48, 4 (1958), 399–402.Google Scholar
  2. [2]
    N. K. Sinha,Propagation of Love-type waves in a non-homogeneous layer lying over a vertically semi-infinite homogeneous isotropic medium, Pure and Applied Geophysics73 (1969/II), 47–59.Google Scholar
  3. [3]
    J. G. Negi andS. K. Upadhay,Effect of anisotropy on Love wave propagation, Bull. Seism. Soc. Amer.58, No. 1 (1968), 259–266.Google Scholar
  4. [4]
    J. Bhattacharya,The possibility of the propagation of Love type waves in an intermediate heterogeneous layer lying between two semi-infinite isotropic homogeneous elastic layers, Pure and Applied Geophysics72 (1969/I), 61–71.Google Scholar
  5. [5]
    Jahnke-Emde-Losch,Tables of higher functions, McGraw Hill Book Co., Inc., New York (1960).Google Scholar
  6. [6]
    G. N. Watson,A treatise on the theory of Bessel functions, Cambridge University Press (1944).Google Scholar

Copyright information

© Birkhäuser Verlag 1973

Authors and Affiliations

  • U. C. Pan
  • S. K. Chakrabarty
    • 1
  1. 1.Department of MathematicsThe University of BurdwanBurdwanIndia

Personalised recommendations