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IssuesArchive of Issues2021-7pp.1243-1258

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A.N. Prokudin and A.A. Burenin, "Elastoplastic Analysis of a Rotating Solid Shaft Made of Linear Hardening Material," Mech. Solids. 56 (7), 1243-1258 (2021)
Year 2021 Volume 56 Number 7 Pages 1243-1258
DOI 10.3103/S0025654421070207
Title Elastoplastic Analysis of a Rotating Solid Shaft Made of Linear Hardening Material
Author(s) A.N. Prokudin (Institute of Machinery and Metallurgy, Khabarovsk Federal Research Center, Far Eastern Branch, Russian Academy of Sciences, Komsomolsk-on-Amur, 681005 Russia, sunbeam_85@mail.ru)
A.A. Burenin (Institute of Machinery and Metallurgy, Khabarovsk Federal Research Center, Far Eastern Branch, Russian Academy of Sciences, Komsomolsk-on-Amur, 681005 Russia, mail@imim.ru)
Abstract A rotating solid shaft made of hardening elastoplastic material is investigated. The problem formulation is based on the Prandtl–Reis equation and the assumption about the generalized plane strain state in the shaft. Plastic strains are determined using the maximum reduced stress condition, the flow rule associated with it, and the law of linear isotropic hardening. The analysis is restricted by the active loading of the shaft. It is shown that in the general case the four plastic regions corresponding to different edges and faces of the yield surface may appear in the shaft. The exact solutions are found for each possible plastic region. The dependences of the critical rotation speed at which the entire shaft becomes plastic on the hardening parameter are established. The results are compared to the solutions for the Tresca and von Mises criteria.
Keywords elastoplasticity, infinitesimal strains, rotating shaft, linear isotropic hardening, maximum reduced stress criterion
Received 28 December 2020Revised 28 January 2021Accepted 02 February 2021
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