Literature Cited
O. Zenkevich, The Finite-Element Method in Engineering [Russian translation], Mir, Moscow (1975).
V. S. Korneev and V. A. Postnov, “Use of the finite-element method in calculations of the stability of reinforced shells,” Prikl. Mekh.,12, No. 5, 44–49 (1976).
Navaratna, Pian, and Witmer, “Calculation of the stability of shells of revolution by the method of discrete elements,” AIAA J.,6, No. 1, 196–203 (1968).
L. P. Shevelev, Principles of the Theory of Stability of Shells Beyond the Elastic Limit [in Russian], Izd. Leningrad. Univ., Leningrad (1982).
D. J. Dawe, “Application of the discrete element method to the buckling analysis of rectangular plate under arbitrary membrane loading,” Aeronaut. Q.,20, No. 2, 114–128 (1969).
R. Gallaghar and J. Padlog, “Discrete element approach to structural instability analysis,” AIAA J,1, No. 6, 1437–1439 (1963).
K. Kapur and B. Hartz, “Stability of plates using finite element method,” Proc. Am. Soc. Civ. Eng.,92, No. 2, 177–195 (1966).
T. Matsui and O. Matsuoka, “Buckling of circular cylindrical shell roofs by the finite element method,” Finite Elem. Nonlinear Mech., Trondheim, No. 1, 303–322 (1978).
K. Rao Singa and G. Rao Venkateswara, “Stability of cylindrical panels using finite elements,” J. Aeronaut. Sci. India,28, No. 4, 435–437 (1976).
J. Subbia and R. Natarajan, “Stability analysis of ring-stiffened shells of revolution,” J. Ship. Res.,26, No. 2, 125–134 (1982).
Additional information
Plant-School of the “Leningradskii Metallicheskii Zavod” Tube-Construction Production Association, Leningrad. Translated from Prikladnaya Mekhanika, Vol. 22, No. 2, pp. 41–46, February, 1986.
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Shevelev, L.P. One approach to the numerical solution of problems of shell stability. Soviet Applied Mechanics 22, 129–134 (1986). https://doi.org/10.1007/BF00887001
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DOI: https://doi.org/10.1007/BF00887001