Nonclassical models of the theory of plates and shells


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Publications dealing with the study of methods of reducing a three-dimensional problem of the elasticity theory to a two-dimensional problem of the theory of plates and shells are reviewed. Two approaches are considered: the use of kinematic and force hypotheses and expansion of solutions of the three-dimensional elasticity theory in terms of the complete system of functions. Papers where a three-dimensional problem is reduced to a two-dimensional problem with the use of several approximations of each sought function (stresses and displacements) by segments of Legendre polynomials are also reviewed.

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B. Annin

Lavrentyev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University

编辑信件的主要联系方式.
Email: annin@hydro.nsc.ru
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090

Yu. Volchkov

Lavrentyev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University

Email: annin@hydro.nsc.ru
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090

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