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On the analogy between Timoshenko-type plate bending theory and the two-dimensional problem in moment theory of elasticity

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Literature Cited

  1. 1.

    D. V. Banich, Some Dynamic Problem in the Plate and Shell Theory with an Asymmetric Stress Tensor [in Russian], Candidate's Dissertation, Kiev (1967).

  2. 2.

    R. D. Mindin, “Influence of moment stresses on stress concentration”, in: Mechanics [in Russian], No. 4 (1964).

  3. 3.

    Yu. N. Nemish, “Two-dimensional problem of moment theory of elasticity for a region with a circular hole”, Prikladnaya Mekhanika,1, No. 5 (1965).

  4. 4.

    V. A. Pal'mov, “Two-dimensional problem of asymmetric elasticity theory”, Prikl. Matem. i Mekh.,38, No. 3 (1964).

  5. 5.

    B. L. Pelekh, “Determination of concentration coefficients in the presence of perforated plates”, Prikladnaya Mekhanika,1, No. 7 (1965).

  6. 6.

    G. N. Savin, Fundamentals of the Two-Dimensional Problem of Moment Theory of Elasticity [in Russian], Izd. Kievsk. Gos. Un-ta (1965).

  7. 7.

    S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells [Russian translation], Fizmatgiz, Moscow (1963).

  8. 8.

    I. Yu. Khoma, “Deflection of a plate in the case of given displacements at the contour of a circular hole”, DAN UkrSSR, Seriya A, No. 4 (1968).

  9. 9.

    S. P. Timoshenko, “On the correction for shear of the differential equation for transverse vibration of prismatic bars”, Phil. Magz., Ser, 6,41 (1921).

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Additional information

Ternopol Branch of the Institute of Mechanics, Academy of Sciences of the Ukrainian SSR. L'vov Polytechnical Institute. Translated from Prikladnaya Mekhanika, Vol. 5, No. 4, pp. 127–132, April, 1969.

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Nemish, Y.N., Pelekh, B.L. On the analogy between Timoshenko-type plate bending theory and the two-dimensional problem in moment theory of elasticity. Soviet Applied Mechanics 5, 440–443 (1969). https://doi.org/10.1007/BF00886901

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Keywords

  • Moment Theory