On the Changing Mechanisms of the Production of Large Irreversible Deformations in the Conditions of Rectilinear Motion in a Cylindrical Layer

Abstract

In the framework of the theory of large deformations, a solution is obtained for the deformation of a material with nonlinear elastic, plastic and viscous properties located in the gap between two rigid coaxial cylindrical surfaces. The outer surface remains stationary, and the inner rectilinearly moves with variable speed. With uniformly accelerated surface motion, initially irreversible strains accumulate due to the viscous properties of the material as creep strains, and when the stressed state exits to the loading surface, the appearance and development of the viscoplastic flow region are considered. The further development of the flow at a constant speed and its deceleration at equally slow motion of the surface to a complete stop were investigated. The parameters of the stress-strain state of the medium are calculated, and stress relaxation after a complete stop of the cylinder is investigated.