Flow of an Elastoviscoplastic Material between Rotating Cylindrical Surfaces with Nonrigid Cohesion
A. S. Begun1,2, A. A. Burenin3, L. V. Kovtanyuk1
1Institute of Automation and Control Processes, Far East Branch, Russian Academy of Sciences, Vladivostok 690041, Russia
2Vladivostok State University of Economics and Service, Vladivostok 690014, Russia
3Institute of Engineering and Metallurgy, Far East Branch of Russian Academy of Sciences, Komsomolsk-on-Amur, 681005 Russia
Keywords: elasticity, viscoplasticity, large deformations, viscometric flows
Abstract
The theory of large deformations is used to construct exact solutions of a sequence of one-dimensional boundary-value problems of the occurrence, development, and subsequent deceleration of viscometric flow of an elastoviscoplastic incompressible material located in the gap between rotating rigid coaxial cylindrical surfaces. In the quasistatic approximation allowing for slip of the material on its solid boundaries, the flow initiation conditions in the deformed material and the laws of motion of the boundary surfaces of the flow of this material both during its development and deceleration are determined. The parameters of the stress-strain states in the regions of reversible deformation and flow in all stages of the process, including the cessation of the flow and the complete unloading by rotation of the solid boundary in the opposite direction, are calculated.
DOI: http://dx.doi.org/10.1134/S0021894415020157
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