Nonclassical models of the theory of plates and shells

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    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 of the unknown functions (stresses and displacements) by segments of the Legendre polynomials are also reviewed.

    Original languageEnglish
    Title of host publicationProceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017
    EditorsIE Egorov, SV Popov, PN Vabishchevich, MY Antonov, NP Lazarev, MS Troeva, MS Troeva, AO Ivanova, YM Grigorev
    PublisherAmerican Institute of Physics Inc.
    Number of pages9
    Volume1907
    ISBN (Electronic)9780735415997
    DOIs
    Publication statusPublished - 14 Nov 2017
    Event8th International Conference on Mathematical Modeling, ICMM 2017 - Yakutsk, Russian Federation
    Duration: 4 Jul 20178 Jul 2017

    Publication series

    NameAIP Conference Proceedings
    PublisherAMER INST PHYSICS
    Volume1907
    ISSN (Print)0094-243X

    Conference

    Conference8th International Conference on Mathematical Modeling, ICMM 2017
    CountryRussian Federation
    CityYakutsk
    Period04.07.201708.07.2017

    Keywords

    • BIDIRECTIONAL COMPOSITES

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