Nonclassical models of the theory of plates and shells


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Аннотация

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.

Авторлар туралы

B. Annin

Lavrentyev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University

Хат алмасуға жауапты Автор.
Email: annin@hydro.nsc.ru
Ресей, Novosibirsk, 630090; Novosibirsk, 630090

Yu. Volchkov

Lavrentyev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University

Email: annin@hydro.nsc.ru
Ресей, Novosibirsk, 630090; Novosibirsk, 630090

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© Pleiades Publishing, Ltd., 2016