Viscometric flow of an incompressible elastoviscoplastic material in the presence of lubricant on the boundary surfaces

Using a large deformations model generalized to the case of viscous properties of materials, we obtain analytic solutions to a number of quasistatic boundary value problems about viscometric flows of an elastoviscoplastic material in the gap between rigid coaxial cylindrical surfaces when, in a neighborhood of one of the rigid cylinders (both interior and exterior), there is a layer of elastic non-Newtonian lubrication and the conditions of rigid solder are fulfilled on the boundary surfaces. We study the conditions of the appearance of a flow in the lubricant layer and in the base material. We indicate the values of the maximum rotation speed under which the flow does not go over the lubricant layer.