Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

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IssuesArchive of Issues2010-3pp.313-322

Archive of Issues

Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
In English (J. Appl. Math. Mech.): 799

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S.A. Nazarov, G.H. Sweers, and A.S. Slutskii, "The flexural rigidity of a thin plate reinforced with periodic systems of separated rods," J. Appl. Math. Mech. 74 (3), 313-322 (2010)
Year 2010 Volume 74 Issue 3 Pages 313-322
Title The flexural rigidity of a thin plate reinforced with periodic systems of separated rods
Author(s) S.A. Nazarov (St Petersburg, Russia, srgnazarov@yahoo.co.uk)
G.H. Sweers (St Petersburg, Russia)
A.S. Slutskii (St Petersburg, Russia, slutskij@gmail.com)
Abstract A two-dimensional model of the flexure of a thin plate, reinforced with periodic families of separated thin rods, symmetrical about the middle plane, is constructed. Since the rods only interact through the pliable matrix material, the algorithm for constructing the asymptotics is essentially different from the classical procedure in the theory of composite plates and leads to new results. Explicit formulae are obtained for the coefficients of the fourth order differential equation which arises.
Received 03 December 2008
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