 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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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 2020 | Revised |
28 January 2021 | Accepted |
02 February 2021 |
| Link to Fulltext |
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