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
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IssuesArchive of Issues2013-6pp.613-628

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A.P. Yankovskii, "Elastoplastic deformation of flexible reinforced plates with a reduced shear strength," J. Appl. Math. Mech. 77 (6), 613-628 (2013)
Year 2013 Volume 77 Issue 6 Pages 613-628
Title Elastoplastic deformation of flexible reinforced plates with a reduced shear strength
Author(s) A.P. Yankovskii (Novosibirsk, Russia, lab4nemir@rambler.ru)
Abstract The problem of the elastoplastic deformation of reinforced plates taking account of their reduced shear strength is formulated in rectangular Cartesian and cylindrical systems of coordinates within the framework of deformation-type constitutive relations based on the first version of Timoshenko's theory. The mechanical behaviour of annular plates with different helical reinforcement structures is investigated and it is shown that the use of classical theory to calculate the elastoplastic bending of relatively thick and, in some cases, relatively thin reinforced plates leads to an unjustified prediction of the compliance of thin-walled composite structures that is too low. The calculations carried out demonstrate the development of considerable shear deformations in the binder of such plates, that have to be taken into account, since it determines the deformation characteristics of the structures studied. The results of calculations obtained using two structural models are compared.
Received 29 January 2013
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