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Journal of Applied Mechanics and Technical Physics

2015 year, number 4

Development and Deceleration of Viscoplastic Flow in a Layer Heated by Friction on a Rough Plane

A. A. Burenin1, L. V. Kovtanyuk2, G. L. Panchenko3
1Institute of Engineering and Metallurgy, Far East Branch, Russian Academy of Sciences, Komsomol'sk-on-Amur, 681005 Russia
2Institute of Automation and Control Processes, Far East Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia
3Vladivostok State University of Economics and Service, Vladivostok, 690014 Russia
Keywords: упругость, пластичность, вязкость, теплопроводность, большие деформации, elasticity, plasticity, toughness, heat conduction, large deformations

Abstract

This paper presents a solution of a sequence of coupled problems of thermoelastoplasticity which study the occurrence and development of flow in a material layer under pure shear conditions, and its subsequent deceleration by slowly removing the load. The homogeneity of the stress state of the layer is excluded due to the coupling of thermal and deformation processes in the presence of a temperature dependence of the yield point. An additional source of heat is taken to be its production by friction of the material layer on a rough plane. The conditions for the occurrence of viscoplastic flow in the deformable material layer and the laws of motion of the boundaries between the elastic and plastic regions in this layer are determined, and the flow velocities and large irreversible and reversible deformations are calculated. It is shown that reversible deformations cause stresses in the flow region and the moving elastically deformed core.