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Consistent Equations of Nonlinear Multilayer Shells Theory in the Quadratic Approximation

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dc.contributor.author Paimushin V.
dc.contributor.author Kholmogorov S.
dc.contributor.author Badriev I.
dc.date.accessioned 2020-01-15T22:00:34Z
dc.date.available 2020-01-15T22:00:34Z
dc.date.issued 2019
dc.identifier.issn 1995-0802
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/156475
dc.description.abstract © 2019, Pleiades Publishing, Ltd. For the laminated shells on the basis of the Timoshenko model, taking into account the transversal compression used for each layer, two versions of two-dimensional equations describing geometrically nonlinear deformation for arbitrary displacements and small strains are constructed. They are based on previously proposed consistent relationships of the non-linear elasticity theory, usage of which does not lead to the appearance of “false” bifurcation solutions. The first version corresponds to the contact problem statement, in accordance with which the contact stresses into the contact points of the layers as unknowns are introduced, and the second version corresponds to the preliminary satisfaction of the kinematic coupling relations for the layers along the displacements. An example is given of the application of the derived equations for solving the linear problem of a plane stress-strain state of a straight beam under the action of normal surface forces applied to the front boundary surfaces is given.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject contact stresses
dc.subject finite displacements
dc.subject geometrically nonlinearity
dc.subject kinematic coupling relations
dc.subject layered structure
dc.subject orthogonal curvilinear coordinates
dc.subject plane problem
dc.subject shell
dc.subject small strain
dc.subject straight beam
dc.subject Timoshenko model
dc.title Consistent Equations of Nonlinear Multilayer Shells Theory in the Quadratic Approximation
dc.type Article
dc.relation.ispartofseries-issue 3
dc.relation.ispartofseries-volume 40
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 349
dc.source.id SCOPUS19950802-2019-40-3-SID85065915289


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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