References
K. F. Voitsekhovskaya, “The stability of cylindrical shells from the standpoint of the mathematical theory of elasticity,” DAN SSSR, vol. 123, no. 4, 1958.
B. G. Galerkin, Collected Works, vol. 1 [in Russian], Izd-vo AN SSSR, Moscow, 1952.
A. Yu. Ishlinskii, “Problems involved in the equilibrium stability of elastic bodies from the standpoint of the mathematical theory of elasticity,” Ukr. matem. zhurnal, vol. 4, no. 2, 1954.
L. S. Leibenzon, “The application of harmonic functions to the problem of the stability of spherical and cylindrical shells”, in: Collected Works, Vol. 1 [in Russian], Izd-vo AN SSSR, Moscow, 1951.
I. D. Legenya, “The stability of a thick rectangular simply supported slab under a compressive load,” DAN SSSR, vol. 140, no. 4, 1961.
I. D. Legenya, “Stability loss of a thick square simply supported slab,” Izv. AN SSSR, OTN, Mekhanika i mashinostroenie, no. 6, 1962.
I. D. Legenya, “The stability of a compressed plate with allowance for angles of rotation,” DAN SSSR, vol. 149, no. 4, 1963.
I. D. Legenya, “The stability of a thick slab under uniformly distributed tangent stresses,” Prikladnaya mekhanika, vol. 1, no. 9, 1965.
A. Love, The Mathematical Theory of Elasticity [Russian translation], Gostekhizdat, Moscow, 1935.
V. V. Novozhilov, Principles of the Nonlinear Theory of Elasticity [in Russian], Gostekhizdat, Moscow, 1948.
C. B. Biezeno and H. Hencky, “On the general theory of elastic stability,” Proc. Roy. Neth. Acad. Sci., Amsterdam, 31, 1928; 32, 1929.
E. Trefftz, Ueber die Ableitung des Stabilitat-skriterien des elastischen Gleichgewichts, Verhandl. III Intern. Kongr. Mech., 3, 1930.
Author information
Authors and Affiliations
Additional information
Prikladnaya Mekhanika, Vol. 3, No. 2, pp. 20–29, 1967
Rights and permissions
About this article
Cite this article
Guz, A.N. Investigating the stability of elastic systems by means of linearized equations of elasticity theory. Soviet Applied Mechanics 3, 13–18 (1967). https://doi.org/10.1007/BF00885577
Issue Date:
DOI: https://doi.org/10.1007/BF00885577