Viscometric Flow of Elastoplastic Material Heated by Wall Friction
A. S. Begun1,2, L. V. Kovtanyuk1
1Institute of Automation and Control Processes, Far Eastern Scientific Center, Siberian Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia
2Vladivostok State University of Economics and Service, Vladivostok, 690014, Russia
Keywords: elasticity, viscosity, plasticity, viscometric flow, large deformations, thermoplasticity
Abstract
A mathematical model of large deformations is used to solve a coupled boundary-value problem about the deformation of an elastic-viscoplastic material in a cylindrical viscometer with account for its heating due to wall friction. The deformation of a material enclosed between rigid surfaces due to the rotation of an inner cylindrical surface at a variable velocity is investigated. It is taken into account that a yield point depends on temperature. The motion of elastoplastic boundaries is described. Stresses, strains, and temperature in a thermoelastic deformation region and in a flow region both during the development of the flow and during its deceleration, including stopping, unloading, and cooling, are calculated. Residual stresses and deformations are determined.
DOI: 10.1134/S0021894421050096
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