Journal of Mathematical Sciences

, Volume 101, Issue 1, pp 2803–2807 | Cite as

Scattering of plane harmonic waves on a cylindrical cavity with an elliptical cross section in an orthotropic medium

  • T. V. Volobueva
  • V. I. Storozhev


The diffraction of a plane longitudinal harmonic wave on a cavity with a smooth curvilinear cross section in a rectilinearly orthotropic medium is solved by using small perturbations in the elastic moduli and introducing generalized wave potentials. Results are presented from a numerical analysis of the dynamic stresses in the near diffraction field and at the boundary of an elliptical cavity including variations in the relative incident wavelength, eccentricity of the cavity, and degree of anisotropy of the medium.


Incident Wave Anisotropic Medium Cylindrical Cavity Elliptical Cross Section Diffraction Field 
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.
    L.A. Nesterova and V.I. Storozhev, “Corrective perturbations of elastic constants for modifying the operator in the equation of two-dimensional vibrations of an anisotropic medium,” Donetsk,Deposited in UkrNIINTI, August 16, 1989, No. 1904-Uk89 (1989).Google Scholar
  2. 2.
    L. A. Nesterova and V. I. Storozhev, “Method for correcting the elastic constants in solving two-dimensional diffraction problems for elastic waves in rectilinearly anisotropic media,” Donetsk,Deposited in UkrNIINTI, August 16, 1989, No. 1905-Uk89 (1989).Google Scholar
  3. 3.
    L. A. Nesterova and V. I. Storozhev,Diffraction of Pulsed Longitudinal-Shear Waves in an Orthotropic Mass with a Circular Cavity, Donetsk (1981).Google Scholar
  4. 4.
    M. O. Shul’ga, “Wave potentials for an elastic transversally isotropic medium,”Dop. ANUSRSR Ser. A. Fiz.-Mat. Tekhn. Nauk., No. 10 (1968).Google Scholar
  5. 5.
    A. S. Kosmodamianskii and V. I. Storozhev,Dynamic Problems in the theory of Elasticity for Anisotropic Media [in Russian], Kiev (1985).Google Scholar
  6. 6.
    G. Forsythe, M. Malcolm, and C. Moler,Computer Methods for Mathematical Computations [Russian translation], Moscow (1980).Google Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • T. V. Volobueva
  • V. I. Storozhev

There are no affiliations available

Personalised recommendations