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 [in Russian], Tbilisi University, 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).
Ya. M. Grigorenko, A. T. Vasilenko, and G. P. Golub, Statics of Anisotropic Shells with Finite Shear Stiffness [in Russian], Naukova Dumka, Kiev (1987).
V. V. Novozhilov, Principles of the Nonlinear Theory of Elasticity [in Russian], Gostekhizdat, Moscow-Leningrad (1948).
N. P. Semenyuk, “Refined variant of a nonlinear theory of shells of the Timoshenko type and its application in the calculation of the initial postcritical behavior of long cylindrical shells,” Prikl. Mekh.,26, No. 8 (1990).
A. N. Chuiko, “Nonlinear equations of the theory of thin shells,” Prikl. Mekh.,19, No. 11, 66–71 (1983).
L. A. Shapovalov, “Simple variant of the equations of geometrically nonlinear shell theory,” Mekh. Tverd. Deform. Tela, No. 1, 56–63 (1968).
H. M. Berkovitz, Comments on: “Strain-displacement relations in large displacement theory of shells,” by C. H. Tsao, AIAA J.,3, No. 11, 2176 (1965).
B. Budiansky, “Theory of buckling and post-buckling behavior of elastic structures,” Adv. Appl. Mech.,14, 2–65 (1974).
C. H. Tsao, “Strain-displacement in large displacement theory of shells,” AIAA J.,2, No. 11, 2060–2062 (1964).
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 26, No. 10, pp. 30–36, October, 1990.
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Semenyuk, N.P., Zhukova, N.B. Accuracy of nonlinear relations of Timoshenko-type shell theory when transverse contraction is ignored. Soviet Applied Mechanics 26, 942–948 (1990). https://doi.org/10.1007/BF00888844
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DOI: https://doi.org/10.1007/BF00888844