Nonclassical models of the theory of plates and shells
- Authors: Annin B.D.1,2, Volchkov Y.M.1,2
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Affiliations:
- Lavrentyev Institute of Hydrodynamics, Siberian Branch
- Novosibirsk State University
- Issue: Vol 57, No 5 (2016)
- Pages: 769-776
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/159635
- DOI: https://doi.org/10.1134/S0021894416050011
- ID: 159635
Cite item
Abstract
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.
About the authors
B. D. Annin
Lavrentyev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University
Author for correspondence.
Email: annin@hydro.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
Yu. M. Volchkov
Lavrentyev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University
Email: annin@hydro.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090