Journal of Mathematical Sciences

, Volume 167, Issue 5, pp 597–602 | Cite as

Diffraction of a plane wave on a slippery elastic wedge

  • V. M. Babih
  • A. A. Matskovskiy

Diffraction of a plane elastic wave on a slippery wedge is considered; by a slippery wedge we mean a wedge in which the tangent tension and the normal component of the displacement vector are equal to zero on its surface. It is known that one can construct an explicit solution of this problem. The Sommerfeld representation of this solution is found in construct the paper. Bibliography: 6 titles.


Russia Plane Wave Elastic Wave Displacement Vector Normal Component 
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.
    V .A. Sveklo and V. A. Siukiainen, "Difraction of a plane elastic wave on an angle," Dokl. ANUSSR, 119, No. 6, 1122-1123 (1958).MATHGoogle Scholar
  2. 2.
    B. V. Kostrov, "Difraction of a plane wave on an hard wedge fxed, without friction, into a boundless elastic medium," PMM, 30, No. 1, 198-203 (1966).Google Scholar
  3. 3.
    V. B. Poruhikov, Methods in the Dynamic Theory of Elasticity [inRussian], Nauka, Mosow (1986).Google Scholar
  4. 4.
    V. M. Babih, M. A. Lyalinov, and V. E. Grikurov, Diffraction Theory. The Sommerfeld-Malyuzhinets Technique, Alpha Science International Ltd., Oxford, U.K. (2006).Google Scholar
  5. 5.
    B. V. Budaev and D. B. Bogy, "Rayleigh wave scattering by a wedge," Wave Motion, 22, 239-257 (1995).MATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    V. V. Kamotski, L. Ju. Fradkin, B. A. Samokish, V. A. Borovikov, and V. M. Babih, "On Budaev and Bogy's approach to difraction by a 2D traction-free elastic wedge," SIAM J. Appl. Math.,67(1),235-259 (2006).CrossRefMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.St.Petersburg Department of the Steklov Mathematical InstituteSt.PetersburgRussia
  2. 2.St.Petersburg State UniversitySt.PetersburgRussia

Personalised recommendations