Synergetic model of boundary friction taking into account spatial nonuniformity of stresses, strain, and temperature

Spatial nonuniformity of stresses, strain, and temperature of a lubricating layer is taken into account in the context of the synergetic model. We consider the motion of interacting surfaces in opposite directions with identical velocities as well as the situation when the lower surface is rigidly fixed and the upper is displaced with a fixed velocity. In both cases, the spatial profiles of stresses, strains, and temperature are obtained. Allowance for the spatial distribution of the parameters makes it possible to describe the nontrivial non-Newtonian behavior of the effective shear viscosity of the lubricant. The effect of the temperature of the surfaces and the viscosity of the lubricant on the steady-state friction regime is analyzed.