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IssuesArchive of Issues2021-7pp.1352-1362

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A.S. Begun, A.A. Burenin, L.V. Kovtanyuk, and A.N. Prokudin, "On the Sequential Change in the Mechanisms of Production of Large Irreversible Deformations," Mech. Solids. 56 (7), 1352-1362 (2021)
Year 2021 Volume 56 Number 7 Pages 1352-1362
DOI 10.3103/S0025654421070074
Title On the Sequential Change in the Mechanisms of Production of Large Irreversible Deformations
Author(s) A.S. Begun (Institute of Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia, ustinova@iacp.dvo.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, burenin@iacp.dvo.ru)
L.V. Kovtanyuk (Institute of Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia, lk@iacp.dvo.ru)
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)
Abstract In this paper, following the formalism of thermodynamics, reversible and irreversible components of total deformations are accepted as thermodynamic parameters of state of the deformation process. They are defined by formulating the appropriate differential equations of change (transfer equations), whose flow terms determine the mutual influence of these thermodynamic parameters during the process of deformation. In the transfer equation, the source is determined by two mechanisms producing irreversible deformations: viscous (creep) and plastic (plastic flow). The mechanism of production of irreversible deformations changes at the elastoplastic boundaries from viscous to plastic, and vice versa during the unloading. Irreversible deformations are not divided into creep and plastic flow deformations; the achieved values of the former become the initial values for the subsequent growth of the latter in new plastic flow conditions. When unloaded, the change occurs in the reverse order. The problem of growth of irreversible deformations in conditions of viscometric deformation of a cylindrical layer is considered as an example.
Keywords elasticity, creep, plastic flow, large deformations, viscometric deformation
Received 25 May 2020Revised 23 September 2020Accepted 25 September 2020
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