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Investigation of the stresses occurring in the nonstationary perturbation of an axisymmetric cavity surface

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Literature Cited

  1. 1.

    A. N. Guz' and V. D. Kubenko, Theory of Nonstationary Aero- and Hydroelasticity of Shells [in Russian], Naukova Dumka, Kiev (1982).

  2. 2.

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

  3. 3.

    Dean and Lee, “Investigation of wave front propagation in composite materials,” Trans. ASME, Appl. Mech.,36, No. 3, 122–131 (1969).

  4. 4.

    Dean and Chou, “Propagation of a stress gradient through an inclusion,” Rans. ASME, Appl: Mech.,40, No. 3, 72–86 (1973).

  5. 5.

    Yu. A. Kravtsov and Yu. I. Orlov, Geometric Optics of Inhomogeneous Media [in Russian], Naukova, Moscow (1980).

  6. 6.

    R. Courant, Partial Differential Equations [Russian translation], Mir, Moscow (1964).

  7. 7.

    A. Love, Mathematical Theory of Elasticity [Russian translation], ONTI, Moscow (1935).

  8. 8.

    Yu. N. Podil'chuk and Yu. K. Rubtsov, “On nonstationary elastic wave propagation from axisymmetric cavities,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 12, 1006–1010 (1979).

  9. 9.

    Yu. N. Podil'chuk and Yu. K. Rubtsov, “Nonstationary elastic wave propagation from spherical cavities under axisymmetric perturbation,” Prikl. Mekh.,17, No. 7, 3–9 (1981).

  10. 10.

    T. Poston and I. Stewart, Catastrophe Theory and Its Application [Russian translation], Mir, Moscow (1980).

  11. 11.

    S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, 3rd edn., McGraw-Hill (1970).

  12. 12.

    J. B. Haddow and A. Mioduchowski, “Waves from a suddenly punched hole in a plate subjected to a uniaxial field,” J. Appl. Mech., Ser. E,46, No. 4, 873–877 (1979).

  13. 13.

    A. Mioduchowski and J. B. Haddow, “Sudden pressurization of a cylindrical cavity of oval section,” Acta Mechanica,40, No. 1-2, 49–62 (1980).

  14. 14.

    R. Sauer, Nichstatsionäre Probleme der Gasdynamik, Springer, Berlin-Heidelberg (1966).

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Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 20, No. 7, pp. 11–19, July, 1984.

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Podil'chuk, Y.N., Rubtsov, Y.K. Investigation of the stresses occurring in the nonstationary perturbation of an axisymmetric cavity surface. Soviet Applied Mechanics 20, 596–603 (1984). https://doi.org/10.1007/BF00891715

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  • Cavity Surface
  • Axisymmetric Cavity
  • Nonstationary Perturbation