Literature Cited
G. A. Vanin, N. B. Zhukova, and N. P. Semenyuk, “Toward a nonlinear theory of shells of the Timoshenko type in quadratic and higher approximations”, Transactions of the 14th All-Union Conference on the Theory of Plates and Shells, Tbilisi Univ. Tbilisi (1987), pp. 267–272.
G. A. Vanin and N. P. Semenyuk, Stability of Shells Made of Composite Materials with Flaws [in Russian], Naukova Dumka, Kiev (1987).
K. Z. Galimov, “Nonlinear theory of shells of the Timoshenko type,” Issled. Teor. Plastin. Obolochek, 92–126 (1975).
Ya. M. Grigorenko, A. T. Vasilenko, and G. P. Golub, Statics of Anisotropic Shells with Finite Shear Stiffness [in Russian], Naukova Dumka, Kiev (1987).
Ya. M. Grigorenko and N. N. Kryukov, Numerical Solution of Problems of the Statics of Flexible Laminated Shells with Variable Parameters [in Russian], Naukova Dumka, Kiev (1988).
A. N. Guz' and I. Yu. Babich, Three-Dimensional Theory of the Stability of Rods, Plates, and Shells [in Russian], Vishcha Shkola, Kiev (1980).
V. V. Novozhilov, Principles of the Nonlinear Theory of Elasticity [in Russian], Gostekhizdat, Moscow (1948).
A. V. Karmishin, V. A. Lyaskovets, V. I. Myachenkov, and A. N. Frolov, Statics and Dynamics of Thin-Walled Shells [in Russian], Mashinostroenie, Moscow (1975).
B. Budiansky, “Theory of buckling and post-buckling behavior of elastic structures,” Adv. Appl. Mech.,14, 2–65 (1974).
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 26, No. 8, pp. 47–53, August, 1990.
Rights and permissions
About this article
Cite this article
Semenyuk, N.P. Refined variant of a nonlinear theory of shells of the Timoshenko type and its use for calculating the initial post-critical behavior of long cylindrical shells. Soviet Applied Mechanics 26, 754–760 (1990). https://doi.org/10.1007/BF00891792
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00891792