 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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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 2020 | Revised |
17 April 2020 | Accepted |
23 April 2020 |
| Link to Fulltext |
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