Abstract:

The following elastic contact problem is reconsidered. A series of periodic rigid stamps is pressed to the boundary of an anisotropic half-plane with friction. Find the stresses in equilibrium. The problem was considered and solved in [1, 2]. However, the method of solution is not exact.
In this note, it is modified so that the exact solution is obtained in closed form.

Key words: Periodic anisotroptic problem, Friction, Riemann-Hilbert boundary value problem, Contact