Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2020-5pp.607-611

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Total articles in the database: 4932
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N.F. Morozov, P.E. Tovstik, and T.P. Tovstik, "Flexural Rigidity of Multilayer Plates," Mech. Solids. 55 (5), 607-611 (2020)
Year 2020 Volume 55 Number 5 Pages 607-611
DOI 10.3103/S002565442005012X
Title Flexural Rigidity of Multilayer Plates
Author(s) N.F. Morozov (St. Petersburg State University, St. Petersburg, 199034 Russia; Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199078, morozov@nm1016.spb.edu)
P.E. Tovstik (St. Petersburg State University, St. Petersburg, 199034 Russia; Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199078, peter.tovstik@mail.ru)
T.P. Tovstik (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199078, tovstik_t@mail.ru)
Abstract The flexural rigidity of a thin elastic multilayer plate with transversely isotropic layers is considered. If the rigidity of the layers is very different, the classical model based on the hypothesis of a straight normal is not applicable and the effect of lateral shear must be taken into account. Two models for taking into account the effect of transverse shear for a multilayer plate are compared. The first of them, based on the distribution of tangential deformations over the thickness of the plate, was proposed in the work of E. I. Grigolyuk and G. M. Kulikov in 1988. The second model uses an asymptotic expansion of the solution of three-dimensional equations of elasticity theory in powers of a small thinwalled parameter. The errors of the models are estimated by comparison with the exact solution of the three-dimensional test problem.
Keywords multilayer plate, transverse shear rigidity models
Received 27 March 2020Revised 17 April 2020Accepted 23 April 2020
Link to Fulltext https://link.springer.com/article/10.3103/S002565442005012X
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