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Axisymmetric scattering of torsional waves by a cavity of arbitrary shape

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Literature Cited

  1. 1.

    M. A. Aleksidze, Solution of Boundary-Value Problems by Expansion in Nonorthogonal Functions [in Russian], Nauka, Moscow (1978).

  2. 2.

    A. N. Guz', V. D. Kubenko, and M. A. Cherevko, Diffraction of Elastic Waves [in Russian], Naukova Dumka, Kiev (1978).

  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).

  4. 4.

    A. E. Love, A Treatise on the Mathematical Theory of Elasticity, 4th ed., Cambridge University Press (1927).

  5. 5.

    W. Nowacki, Theory of Elasticity [Russian translation], Mir, Moscow (1975).

  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).

  7. 7.

    Yu. N. Podil'chuk and V. S. Kirilyuk, “Nonaxisymmetric deformation of a torus,” Prikl. Mekh.,19, No. 9, 3–8 (1983).

  8. 8.

    M. Abramovich and I. Stegun, Handbook of Special Functions, Dover, New York (1975).

  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).

  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).

  11. 11.

    Th. A. Kermanidis, “A numerical solution of axially symmetric elasticity problems,” Int. J. Solids Structs.,11, No. 4, 493–500 (1975).

  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).

  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).

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Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 24, No. 9, pp. 17–22, September, 1988.

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Ovsyannikov, A.S., Starikov, V.A. Axisymmetric scattering of torsional waves by a cavity of arbitrary shape. Soviet Applied Mechanics 24, 846–850 (1988). https://doi.org/10.1007/BF00888290

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Keywords

  • Arbitrary Shape
  • Torsional Wave
  • Axisymmetric Scattering