Literature Cited
I. Yu. Babich and A. N. Guz', “The effect of the properties of the materials of a plate on the value of the critical stress,” Mekhan. Polim., No. 2 (1969).
I. Yu. Babich and A. N. Guz', “The stability of a transversely isotropic cylindrical shell under axial compression,” Mekhan. Polim. No. 6 (1969).
V. L. Biderman, “The stability of a bar made of a neo-Hookian material,” Inzh. Zh., Mekhan. Tverd. Tela, No. 3 (1968).
K. Bitsenko and R. Grammel', Technical Dynamics [in Russian], Vol. 1, Izd. Gostekhteorizdat, Leningrad-Moscow (1950).
V. V. Bolotin, “The reduction of three-dimensional problems in the theory of elastic stability to one-and two-dimensional problems,” in: Problems of Stability in Structural Mechanics [in Russian], Izd. Stroiizdat, Moscow (1965).
I. I. Gubanova and Ya. G. Panovko, “The effect of the subcritical compression of a bar on the critical value of the compressive stress,” Inzh. Zh., Mekhan. Tverd. Tela, No. 2 (1968).
A. N. Guz, “The stability of orthotropic bodies,” Prikl. Mekhan.,3, No. 5 (1967).
A. N. Guz', “The stability of bands,” Izv. Akad. Nauk SSSR, Mekhan. Tverd. Tela, No. 6 (1969).
A. N. Guz', B. L. Pelekh, I. Yu. Babich, and G. A. Teters, “The region of applicability of applied theory in problems of the stability of bars and plates with a low shear rigidity, in the case of monoaxial compression,” Mekhan. Polim., No. 6 (1969).
A. I. Lur'e, “Bifurcation of the equilibrium of an ideally elastic body,” Zh. Prikl. Mat i Mekhan.,30, No. 4 (1966).
V. M. Makushin, “Transverse vibrations and the stability of cylindrical helical springs,” in: The Dynamics and Strength of Springs [in Russian], Izd. Adad. Nauk SSSR, Moscow (1950).
V. V. Novozhilov, Principles of the Nonlinear Theory of Elasticity [in Russian], Izd. Gostekhizdat, Leningrad-Moscow (1948).
V. A. Polyakov, A. V. Roze, and V. V. Khitrov, “The axisymmetric deflection and buckling of plates made of materials reinforced with fibers,” Proceedings of the VII All-Union Conference on the Theory of Shells and Plates, Dnepropetrovsk, 1969, Izd. Nauka, Moscow (1970).
A. V. Roze, “The longitudinal and transverse deflection of round cylindrically orthogonal plates, weakly resistant to shear,” Mekhan. Polim., No. 1 (1968).
A. V. Roze and T. Ya. Kintsis, “The stability of bars made of materials reinforced with fibers,” Mekhan. Polim. No. 5 (1968).
O. K. Saks, “The stability of cylindrical compression springs,” in: Problems of Dynamics and Strength, Vol. 16 [in Russian], Izd. Zinatne, Riga (1968).
Yu. E. Senitskii, “Taking account of shear deformations in the investigation of the stability and vibrations of composite bars,” Izd. VUZ, Stroitel'stvo i Arkhitektura, No. 6 (1966).
Yu. M. Tarinopol'skii and A. V. Roze, Special Features in the Design of Parts Made of Reinforced Plates, [in Russian], Izd. Zinatne, Riga (1969).
S. P. Timoshenko, The Stability of Elastic Systems [in Russian], Izd. GITTL, Moscow (1955).
F. Engesser, Die Knickfestigkeit gerader Stäbe, Zentralblatt der Bauverwaltung, N. 49 (1891).
T. Hayashi, “On the shear instability of structures caused by compressive load,” Proceedings of the 16-th Japanese Nat. Congress of Appl. Mechanics, Tokyo, 1966, Tokyo (1967).
S. Timoshenko and J. Gere, Theory of Elastic Stability, New York (1961).
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Institute for the Mechanics of Polymers, Academy of Sciences of the Latvian SSR, Riga. Translated from Prikladnaya Mekhanika, Vol. 7, No. 5, pp. 93–98, May, 1971.
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Roze, A.V. Analysis of refinements of the Euler critical stress of an orthotropic bar. Soviet Applied Mechanics 7, 544–548 (1971). https://doi.org/10.1007/BF00887609
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DOI: https://doi.org/10.1007/BF00887609