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Axisymmetric stress state of an elastic space with a hyperboloidal cut

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Literature Cited

  1. A. A. Babloyan, “The solution of certain dual integral equations,” Prikl. Mat. Mekh.,28, No. 6, 1015–1023 (1964).

    Google Scholar 

  2. L. T. Boiko, V. A. Zyuzin, and V. I. Mossakovskii, “A spherical cut in an elastic space,” Dokl. Akad. Nauk SSSR,181, No. 6, 1357–1360 (1968).

    Google Scholar 

  3. A. A. Kapshivyi and N. V. Nogin, “On the solution of the fundamental problems of the axisymmetric theory of elasticity for a space with a spherical cut,” Mat. Fiz., No. 9, 38–47 (1971).

    Google Scholar 

  4. A. A. Kapshivyi and N. N. Stoyan, “On the solution of the first fundamental axisymetric problem for an elastic space with a hyperboloidal cut,” in: Studies in Boundary-Value Problems, Trudy Kaf. Mat. Fiz. Kiev. Gos. Univ., Kiev (1981); Manuscript deposited at VINITI, Oct. 15, 1981, No. 4808-81 Dep.

  5. A. A. Kapshivyi and N. N. Stoyan, “The solution of axisymmetric problems of the theory of elasticity for a two-sheeted hyperboloid and for a semispace with a hyperboloidal cavity by the method of p-analytic functions,” Vychisl. Prikl. Mat., No. 25, 3–13 (1975).

    Google Scholar 

  6. G. V. Kutsenko and A. F. Ulitko, “The equilibrium of an elastic space weakened by a paraboloidal cut,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 2, 144–148 (1976).

    Google Scholar 

  7. M. A. Martynenko, “The investigation of the state of stress of an elastic space, weakened by a paraboloidal cut,” in: Theoretical and Applied Problems of Differential Equations and Algebra, Collection of Scientific Works, Naukova Dumka, Kiev (1978), pp. 181–184.

    Google Scholar 

  8. M. A. Martynenko, “The axisymmetric problem for an elastic medium with a spherical inclusion, weakened by a crack on an interphase boundary,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 7, 39–44 (1983).

    Google Scholar 

  9. M. A. Martynenko and A. F. Ulitko, “The state of stress near the vertex of a spherical cut in an unbounded elastic medium,” Prikl. Mekh.,14, No. 9, 15–23 (1978).

    Google Scholar 

  10. M. A. Martynenko and A. F. Ulitko, “The equilibrium of an elastic space, weakened by an ellipsoidal cut,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 3, 28–32 (1982).

    Google Scholar 

  11. Yu. N. Podil'chuk, Three-Dimensional Problems of Elasticity Theory [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  12. G. N. Polozhii, The Theory and Application of p-Analytic and (p, q)-Analytic Functions [in Russian], Naukova Dumka, Kiev (1973).

    Google Scholar 

  13. N. L. Prokhorova and Yu. I. Solov'ev, “The axisymmetric problem for an elastic space with a spherical cut,” Prikl., Mat. Mekh.,40, No. 4, 692–698 (1967).

    Google Scholar 

  14. G. N. Savin and Yu. N. Podil'chuk, “The deformation of an elastic two-sheeted hyperboloid of revolution,” Prikl. Mekh.,5, No. 2, 36–43 (1969).

    Google Scholar 

  15. N. N. Stoyan, “The solution of the second fundamental axisymmetric problem for an elastic space with a hyperboloidal cut,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 9, 22–26 (1982).

    Google Scholar 

  16. A. F. Ulitko, The Method of Eigenvector Functions in the Three-Dimensional Problems of the Theory of Elasticity [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  17. Ya. S. Uflyand, The Method of Dual Equations in Problems of Mathematical Physics [in Russian], Nauka, Leningrad (1977).

    Google Scholar 

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Kiev University. Translated from Prikladnaya Mekhanika, Vol. 21, No. 10, pp. 3–9, October, 1985.

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Kapshivyi, A.A., Lomonos, L.N. & Stoyan, N.N. Axisymmetric stress state of an elastic space with a hyperboloidal cut. Soviet Applied Mechanics 21, 913–919 (1985). https://doi.org/10.1007/BF00888205

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