LAUSR

A two-dimensional wear contact problem for an elastic layer and a wear-resisting punch is considered. The contact area and the contact load are assumed to be fixed, whereas the punch’s shape changes according to Archard’s law of wear with variable wear coefficient. By neglecting the effect of tangential tractions, the problem of determining the normal contact pressure is reduced to a two-dimensional integral equation containing a Fredholm coordinate operator and a Volterra time operator. By the method of separation of variables, the transient contact pressure distribution has been constructed in terms of the solutions of some eigenvalue problem. A special attention is paid to quantities of practical interest, such as the wearing-in period and the transient effective wear coefficient.