Large Deformations and Heating of Elastoviscoplastic Material in a Cylindrical Viscometer

Abstract

A solution for a coupled thermomechanical boundary value problem of the theory of large deformations that simultaneously takes into account the intense deformation of an elastoviscoplastic material and its heating due to such deformation and near-wall friction is constructed. The conditions for the emergence and development of a viscoplastic flow in the material of a cylindrical layer enclosed between rigid surfaces, one of which has the ability to rotate under the action of a changing given load relative to the axis of the viscometer, are calculated. At all stages of the process from its start to stop, the stress-strain state and temperature distributions in the areas of flow and reversible deformation are calculated, including flow stop, unloading and cooling, with the calculation of residual stresses and deformations. The yield strength is assumed to be temperature dependent.