Straight flow in an elastoviscoplastic cylindrical layer with possible two-sided slip

Abstract

The solution of the boundary value problem of the theory of large strains dealing with the viscoplastic flow of an elastoviscoplasticmaterial in the gap between two rigid coaxial cylindrical surfaces in the case of motion of the inner surface is obtained under the assumption that the material can slip on both surfaces. The reversible deformation, the development of a viscoplastic flow in the cases of uniformly accelerated and constant-velocity motions of the surface, the flow deceleration in the case of uniformly decelerated motion of the surface until full stop, and the unloading of the medium are considered.