Soviet Applied Mechanics

, Volume 24, Issue 9, pp 846–850 | Cite as

Axisymmetric scattering of torsional waves by a cavity of arbitrary shape

  • A. S. Ovsyannikov
  • V. A. Starikov
Article
  • 19 Downloads

Keywords

Arbitrary Shape Torsional Wave Axisymmetric Scattering 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    M. A. Aleksidze, Solution of Boundary-Value Problems by Expansion in Nonorthogonal Functions [in Russian], Nauka, Moscow (1978).Google Scholar
  2. 2.
    A. N. Guz', V. D. Kubenko, and M. A. Cherevko, Diffraction of Elastic Waves [in Russian], Naukova Dumka, Kiev (1978).Google Scholar
  3. 3.
    S. Datta, “Torsional waves in an infinite elastic body containing a spheroidal cavity,” Tr. Am. O-va Inzh.-Mekh., Ser. E,39, No. 4, 995–1001 (1972).Google Scholar
  4. 4.
    A. E. Love, A Treatise on the Mathematical Theory of Elasticity, 4th ed., Cambridge University Press (1927).Google Scholar
  5. 5.
    W. Nowacki, Theory of Elasticity [Russian translation], Mir, Moscow (1975).Google Scholar
  6. 6.
    A. S. Ovsyannikov and V. A. Starikov, “Scattering of torsional waves by a cavity in the form of a body of revolution in an infinite elastic space,” Prikl. Mekh.,20, No. 7, 24–29 (1984).Google Scholar
  7. 7.
    Yu. N. Podil'chuk and V. S. Kirilyuk, “Nonaxisymmetric deformation of a torus,” Prikl. Mekh.,19, No. 9, 3–8 (1983).Google Scholar
  8. 8.
    M. Abramovich and I. Stegun, Handbook of Special Functions, Dover, New York (1975).Google Scholar
  9. 9.
    S. K. Datta, “Torsional waves in an infinite elastic solid containing a penny-shaped crack,” Z. Angew. Math. Phys.,21, No. 3, 343–351 (1970).Google Scholar
  10. 10.
    S. Datta and R. P. Kanwal, “Slow torsional oscillations of a spheroidal rigid inclusion in an elastic medium,”,Util. Math.16, 111–122 (1979).Google Scholar
  11. 11.
    Th. A. Kermanidis, “A numerical solution of axially symmetric elasticity problems,” Int. J. Solids Structs.,11, No. 4, 493–500 (1975).Google Scholar
  12. 12.
    G. C. Sih and J. F. Loeber, “Torsional vibration of an elastic solid containing a pennyshaped crack,” J. Acoust. Soc. Am.,44, No. 5, 1237–1245 (1968).Google Scholar
  13. 13.
    B. M. Singh, J. Rokue, and R. S. Dhaliwal, “Diffraction of a torsional wave by a circular rigid disk at the interface of two bonded dissimilar elastic solids,” Acta Mech.,49, Nos. 1–2, 139–146 (1983).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • A. S. Ovsyannikov
  • V. A. Starikov

There are no affiliations available

Personalised recommendations