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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2019-2pp.356-363

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V.I. Bukhalov, A.L. Popov, and D.A. Chelyubeev, "Gadolin's Theory in Elastoplastic Formulation," Mech. Solids. 54 (2), 356-363 (2019)
Year 2019 Volume 54 Number 2 Pages 356-363
DOI 10.3103/S0025654419030051
Title Gadolin's Theory in Elastoplastic Formulation
Author(s) V.I. Bukhalov (Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia)
A.L. Popov (Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia; Kyubyshev Moscow Institute of Civil Engineering, Moscow, 129337 Russia, popov@ipmnet.ru)
D.A. Chelyubeev (Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia)
Abstract The Gadolin’s theory, or the problem of two shrink-fitted cylinders, is usually considered in the statement when the stresses stay within the applicability area of the elastic model. The generalization of this theory to the case when plastic strains appear in the inner cylinder is presented. The solution of the Lamé problem in the elastoplastic formulation is given as the first stage of solving the general problem. The resolving equations for estimating the plastic zone radius and the contact pressure at a specified tightness are derived. Some examples of the application of the results for the calculation of a stress-strain state of disk specimens with an initial level of stresses close to the ultimate yield point are considered. The normal displacements of the surface of elastoplastic rings are found.
Keywords shrink fit, elastoplastic model
Received 11 May 2018
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