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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2022-1pp.65-74

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Burenin A.A., Gerasimenko E.A., Kovtanyuk L.V., and Sevastyanov G.M., "On the Dynamics of Unloading of a Cylindrical Elastic-Viscoplastic Layer Under Azimuthal Shear," Mech. Solids. 57 (1), 65-74 (2022)
Year 2022 Volume 57 Number 1 Pages 65-74
DOI 10.3103/S0025654422010113
Title On the Dynamics of Unloading of a Cylindrical Elastic-Viscoplastic Layer Under Azimuthal Shear
Author(s) Burenin A.A. (Khabarovsk Federal Research Center of the FEB RAS, Khabarovsk, 680000 Russia, burenin@iacp.dvo.ru)
Gerasimenko E.A. (Institute for Automation and Control Processes of the FEB RAS, Vladivostok, 690041 Russia, gerasimenko@iacp.dvo.ru)
Kovtanyuk L.V. (Institute for Automation and Control Processes of the FEB RAS, Vladivostok, 690041 Russia, lk@iacp.dvo.ru)
Sevastyanov G.M. (Khabarovsk Federal Research Center of the FEB RAS, Khabarovsk, 680000 Russia, akela.86@mail.ru)
Abstract The problem of deformation of an elastic-viscoplastic material in the gap between the coaxial cylindrical surfaces of a rotary viscometer is considered. The loading of the material occurs due to a slow rotation of the outer wall of the viscometer; at this stage, the condition of adhesion of the material to the walls is assumed. At a certain critical angle of rotation, material slip occurs, which causes the unloading shock wave to propagate in the layer. When the wave propagates, it interacts with the elastic-plastic boundary and is reflected from the walls of the viscometer. The unloading dynamics is investigated using the ray method for constructing near-front expansions.
Keywords elasticity, viscoplasticity, viscometry, large deformations, ray method, unloading wave
Received 10 March 2021Revised 18 April 2021Accepted 26 April 2021
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