Literature Cited
V. N. Al'pert, “On the flow conditions for rigidly plastic shells,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 6, 131–139 (1972).
I. T. Vokhmyanin, “On the Mises flow condition for thin shells of revolution,” Izv. Vyssh. Uchebn. Zaved., Stroit. Arkhitektura, No. 7, 37–41 (1983).
I. T. Gudramovich and I. A. Diskovskii, “Analysis of rigidly plastic cylindrical shells under a combination of axial force and side pressure with large deflections taken into account,” Soprotiv. Mater. Teor. Sooruzh., No. 16, 49–51 (1972).
G. V. Ivanov, “Approximation of the final relationship between shell forces and moments under the Mises plasticity condition,” Inzh. Zh., Mekh. Tverd. Tela, No. 6, 74–75 (1967).
A. A. Il'yushin, Plasticity [in Russian], Gostekhizdat, Moscow (1948).
A. A. Kolesnikov, “On the build-up of limits of applicability of the Karman plate bending equations,” Raschet Prostranstve. Konstruk., No. 7, 205–214 (1962).
L. M. Kull', “Analysis of flexible rigidly plastic cylindrical shells under complex loadings,” Prikl. Mekh.,5, No. 11, 28–33 (1969).
Ya. Lellep and S. Khannus, “Large deflections of rigidly plastic closed cylindrical shells,” Uchen. Zap. Tartu Univ.,659, 59–65 (1983).
Yu. Lepik, “Large deflections of rigidly plastic cylindrical shells under the combined effect of axial tension and external pressure,” Uchen. Zap. Tartu Univ.,206, 146–159 (1967).
V. I. Rozenblyum, “Approximate theory of equilibrium of plastic shells,” Prikl. Mat. Mekh.,18, No. 3, 289–302 (1954).
V. I. Rozenblyum, “On plasticity conditions for thin-walled shells,” Prikl. Mat. Mekh.,24, No. 2, 364–366 (1960).
O. N. Shablii and K. A. Koba, “On a refined theory of finite deflections of rigidly plastic shells of revolution and plates,” Prikl. Mekh.,12, No. 8, 3–10 (1976).
G. S. Shapiro, “On flow surfaces for ideally plastic shells,” in: Problems in Continuum Mechanics [in Russian], Izd. Akad. Nauk SSSR, Moscow (1961), pp. 504–507.
B. A. Budiansky, “A reassessment of deformation theories of plasticity,” Trans. ASME, J. Appl. Mech.,26, No. 2, 259–264 (1959).
M. Duszek, “Plastic analysis of cylindrical shells subjected to large deflections,” Arch. Mech. Stosow.,18, No. 5 599–614 (1966).
H. M. Haydl and A. N. Sherbourne, “Some approximations to the Ilyushin yield surface for circular plates and cylindrical shells,” Z. Angew. Math. Mech.,59, No. 2, 131–132 (1979).
N. Jones, “Consistent equations for the large deflections of structures,” Bull. Mech., Eng. Educ.,10, No. 1, 9–20 (1971).
M. A. Robinson, “A comparison of yield surfaces for thin shells,” Int. J. Mech. Sci.,13, No. 4, 345–354 (1971).
A. Sawczuk, “On plastic shell theories at large strains and displacements,” Int. J. Mech. Sci.,24, No. 4, 231–244 (1982).
A. Sawczuk and J. Rychlewski, “On yield surfaces for plastic shells,” Arch. Mech. Stosow.,12, No. 1, 29–53 (1960).
A. N. Sherbourne and H. M. Haydl, “Plastic analysis of shallow spherical shells under combined loading at moderately large deflections,” Z. Angew. Math. Mech.,54, No. 2, 73–82 (1974).
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Tartu University. Translated from Prikladnaya Mekhanika, Vol. 23, No. 5, pp. 30–36, May, 1987.
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Lellep, Y.A., Khannus, S.K. Large deflections of a cylindrical shell from rigidly plastic material. Soviet Applied Mechanics 23, 437–442 (1987). https://doi.org/10.1007/BF00888054
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DOI: https://doi.org/10.1007/BF00888054