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Literature Cited
Ya. M. Grigorenko, I. S. Mukha, Ya. G. Savula, and N. P. Fleishman, “Elastic equilibrium of composite shells with finite shear stiffness,” Dokl. Akad. Nauk UkrSSR, Ser. A., No. 7, 35–38 (1984).
E. I. Grigolyuk and G. N. Kulikov, “Numerical solution of statics problems of geometrically nonlinear anisotropic multilayer shells of revolution,” Mekh. Komposit. Mater., No. 3, 443–452 (1981).
A. N. Guz', Stability of Three-Dimensional Deformable Bodies [in Russian], Naukova Dumka, Kiev (1971).
A. V. Karmishin, V. A. Lyaskovets, V. I. Myachenkov, and A. N. Frolov, Statics and Dynamics of Thin-Walled Shell Structures [in Russian], Mashinostroenie, Moscow (1975).
Kh. M. Mushtari, “Theory of elastic equilibrium of plates and shells with initial stresses taken into account,” Izv. Kazan Fil. Akad. Nauk SSSR, No. 2, 39–52 (1950).
V. I. Myachenkov and V. P. Mal'tsev, Methods and Algorithms for Analysis of Spatial Structures on the ES Electronic Computer [in Russian], Mashinostroenie, Moscow (1984).
V. N. Paimushin, “On variational methods of solving nonlinear spatial problems of deformable body connection,” Dokl. Akad. Nauk SSSR,273, No. 5, 1083–1086 (1983).
V. N. Paimushin, “Variational formulation of mechanics problems of composite bodies of piecewise-homogeneous structure,” Prikl. Mekh.,21, No. 1, 27–34 (1985).
V. N. Paimushin and Yu. Ya. Petrushenko, “Variational method of investigating the stability of spatial shell systems,” in: Strength and Stability of Shells [in Russian], Tr. Seminar, No. 19, Pt. 1, 4–22 (1986).
V. N. Paimushin, “Generalized Reissner variational principle in the nonlinear mechanics of spatial composite bodies with applications to the theory of multilayer shells,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tel., No. 2, 171–180 (1987).
V. N. Paimushin and Yu. Ya. Petrushenko, “On an approach to the formulation of linearized equations of the theory of elastic stability of Timoshenko type shells,” in: Plasticity and Stability in the Mechanics of a Deformable Solid [in Russian], Kalinin Univ., Kalinin (1984), pp. 88–96.
V. N. Paimushin, “On the problem of analyzing plates and shells with a complex contour,” Prikl. Mekh.,16, No. 4, 63–70 (1980).
V. N. Paimushin and Yu. Ya. Petrushenko, “Variational method of solving mechanics problems of spatial composite bodies, Generalized Hamilton-Ostrogradskii principle,” Soobshch., Akad. Nauk GSSR,131, No. 1, 49–52 (1988).
N. P. Semenyuk, “On the effect of material instability in anisotropic shells,” Prikl. Mekh.,17, No. 9, 115–118 (1981).
Theory of Shells with Transverse Shear Taken into Account [in Russian], Kazan' Univ., Kazan (1977).
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Kazan' Aviation Institute. Translated from Prikladnaya Mekhanika, Vol. 25, No. 9, pp. 33–39, September, 1989.
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Paimushin, V.N., Petrushenko, Y.Y. Application of a generalized variational Hamilton-Ostrogradskii-Reissner principle to the formulation of linearized problems of the mechanics of spatial composite bodies. Soviet Applied Mechanics 25, 877–883 (1989). https://doi.org/10.1007/BF01959809
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DOI: https://doi.org/10.1007/BF01959809