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Elastoplasticity problem regarding a thin plate with a biperiodic system of circular holes

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Literature Cited

  1. 1.

    É. I. Grigolyuk and L. A. Fil'shtinskii, Perforated Plates and Shells [in Russian], Nauka, Moscow (1970).

  2. 2.

    B. V. Zaslavskii, “Plastic regions near a circular hole in a thin plate under biaxial tension,” Tr. Mosk. Aviats. Inst. im. Ordzhonidze,69, 24–31 (1956).

  3. 3.

    A. S. Kosmodamianskii, “Elastoplasticity problem regarding an isotropic massive body with an infinitely long row of identical circular cutouts,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, Mekh. Mashinostr., No. 4, 187–188 (1961).

  4. 4.

    L. M. Kurshin and I. D. Suzdal'nitskii, “Elastoplasticity problem regarding a plane with a biperiodic system of circular holes,” Prikl. Mat. Mekh.,32, No. 3, 463–467 (1968).

  5. 5.

    N. I. Muskhelishvili, Some Basic Problems in the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).

  6. 6.

    V. V. Sokolovskii, Theory of Plasticity [in Russian], Vysshaya Shkola, Moscow (1969).

  7. 7.

    I. Yu. Khoma, “Stress concentration in a thin plate with an infinite number of circular holes and under elastoplastic deformation,” in: Transactions of the Fourth All-Union Conference on Theory of Shells and Plates [in Russian], Erevan (1964), pp. 959–964.

  8. 8.

    G. P. Cherepanov, “A method of solving the elastoplasticity problem,” Prikl. Mat. Mekh.,27, No. 3, 428–435 (1963).

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Additional information

Lipetsk Polytechnic Institute. Translated from Prikladnaya Mekhanika, Vol. 12, No. 3, pp. 78–83, March, 1976.

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Mirsalimov, V.M. Elastoplasticity problem regarding a thin plate with a biperiodic system of circular holes. Soviet Applied Mechanics 12, 275–279 (1976). https://doi.org/10.1007/BF00884972

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  • Thin Plate
  • Circular Hole
  • Elastoplasticity Problem
  • Biperiodic System