Nonisothermal motion of an elastoviscoplastic medium through a pipe under a changing pressure drop

The solution of a sequence of coupled problems of thermoelastic plasticity on the nucleation and development of medium flow in a cylindrical pipe in conditions of varying pressure drop and material heating due to friction on the pipe wall and subsequent stagnation of flow under slow load removal and cooling of the layer material is derived based on the theory of large elastoplastic deformations generalized for the nonisothermal case. The thermal and deformation processes are interrelated with the temperature dependence of the yield point. The conditions of nucleation of the viscoplastic flow and regularities of motion of the elastoplastic boundaries over the layer are noted, and the flow rates and large strains, both irreversible and reversible, are calculated.