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A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
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IssuesArchive of Issues2024-6pp.3267-3281

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V.V. Vasiliev, "Non-Classical Theories of Beams, Plates and Shells (A Review)," Mech. Solids. 59 (6), 3267-3281 (2024)
Year 2024 Volume 59 Number 6 Pages 3267-3281
DOI 10.1134/S0025654424700377
Title Non-Classical Theories of Beams, Plates and Shells (A Review)
Author(s) V.V. Vasiliev (Central Research Institute of Special Engineering, Khotkovo, Moscow Region, 141371 Russia, vvvas@dol.ru)
Abstract The article is an analytical review and is devoted to the problem of constructing non-classical theories of beams, plates and shells, the demand for which is associated with the emergence of new structural materials with properties that do not fully correspond to the hypotheses adopted in constructing classical theories. The presentation is based on the analysis of the problem of reducing the order of elasticity theory equations for thin-walled structural elements and the mathematical and physical methods used for this purpose. The main attention is paid to the correctness and energy consistency of these methods. The presentation is illustrated by examples of specific theories.
Keywords theory of beams, plates and shells
Received 29 May 2024Revised 10 June 2024Accepted 11 June 2024
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