Mathematical modeling of the periodic wear process in elastic contact between two bodies

A mathematical model is constructed of periodic phenomena that evolve in the process of wearing of two contacting bodies in dry friction. The derivation of the solution assumes that the Kragelskii criterion is a variable value. In particular, the model describes combined fluctuations of wear rates of subsurface layers and values characterizing variations in the roughness of each contacting surface. The main results of the work are theoretical in nature and they can be treated as the basis of experimentation with two contacting bodies exposed to periodic wear.