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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2022-3pp.532-542

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A.S. Begun, A.A. Burenin, and L.V. Kovtanyuk, "Large Deformations and Heating of Elastoviscoplastic Material in a Cylindrical Viscometer," Mech. Solids. 57 (3), 532-542 (2022)
Year 2022 Volume 57 Number 3 Pages 532-542
DOI 10.3103/S0025654422030062
Title Large Deformations and Heating of Elastoviscoplastic Material in a Cylindrical Viscometer
Author(s) A.S. Begun (Institute of Automation and Control Processes FEB RAS, Vladivostok, 690041, Russia; Institute of Automation and Control Processes FEB RAS, Vladivostok, 690041, Russia, asustinova@mail.ru)
A.A. Burenin (Khabarovsk Federal Research Center FEB RAS, Institute of Machinery and Metallurgy FEB RAS, Komsomolsk-on-Amur, 681005 Russia, burenin@iacp.dvo.ru)
L.V. Kovtanyuk (Institute of Automation and Control Processes FEB RAS, Vladivostok, 690041, Russia, lk@iacp.dvo.ru)
Abstract A solution for a coupled thermomechanical boundary value problem of the theory of large deformations that simultaneously takes into account the intense deformation of an elastoviscoplastic material and its heating due to such deformation and near-wall friction is constructed. The conditions for the emergence and development of a viscoplastic flow in the material of a cylindrical layer enclosed between rigid surfaces, one of which has the ability to rotate under the action of a changing given load relative to the axis of the viscometer, are calculated. At all stages of the process from its start to stop, the stress-strain state and temperature distributions in the areas of flow and reversible deformation are calculated, including flow stop, unloading and cooling, with the calculation of residual stresses and deformations. The yield strength is assumed to be temperature dependent.
Keywords elasticity, viscosity, plasticity, viscometric flow, large deformations, thermoplasticity
Received 20 February 2021Revised 21 May 2021Accepted 22 May 2021
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