Literature Cited
N. A. Birger, “Some general methods of solving plasticity theory problems,” Prikl. Mat. Mekh.,15, No. 6, 765–770 (1951).
V. I. Korobko, “Isoperimetric method of optimum design of plates working beyond the elastic limit,” Stroit. Mekh. Raschet Sooruzhenii, No. 1, 18–21 (1977).
G. I. Koroteev, “Optimum design of plastic plates,” Izv. Vyssh. Uchebn. Zaved., Str-vo Arkhitektura, No. 7, 34–38 (1979).
V. A. Krys'ko, Nonlinear Statics and Dynamics of Inhomogeneous Shells [in Russian], Saratov Univ. (1976).
V. A. Krys'ko and A. G. Fedorova, “Dynamics problems for elastic-plastic flexible shallow shells,” Prikl. Mekh.,15, No. 2, 71–76 (1979).
W. Prager, “Minimum weight design of plates,” L'Ingenieur,67, 0.141–0.142 (1955).
M. I. Reitman and G. S. Shapiro, Methods of Optimum Design of Deformable Bodies [in Russian], Nauka, Moscow (1976).
S. É. Umanskii, “On the convergence of the method of variable elasticity parameters,” Prikl. Mat. Mekh.,44, No. 3, 577–581 (1980).
Y. Ohashi and S. Murakami, “The elastoplastic bending of a clamped thin circular plate,” Proc. Eleventh Int. Cong. on Appl. Mech., Munich (1964), pp. 173–182.
Additional information
Saratov Polytechnic Institute. Translated from Prikladnaya Mekhanika, Vol. 18, No. 7, pp. 52–57, July, 1982.
Rights and permissions
About this article
Cite this article
Bochkarev, V.V., Krys'ko, V.A. Optimum design of plates and shells taking account of the physical nonlinearity. Soviet Applied Mechanics 18, 620–625 (1982). https://doi.org/10.1007/BF00886261
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00886261