  The wear of a cylindrical punch composed by two different materials
alternatively distributed in annular forms is studied with the Method of
Dimensionality Reduction (MDR). The changes in surface topography and pressure
distribution during the wear process is obtained and validated by the Boundary
Element Method (BEM). The pressure in each annular ring approaches constant in
a stationary state where the surface topography does not change any more.
Furthermore, in an easier way, using the direct integration the limiting
profile in steady wear state is theoretically calculated, as well as the root
mean square (RMS) of its surface gradient which is closely related to the
coefficient of friction between this kind of surface and an elastomer. The
dependence on the wear coefficients and the width of the annular areas of two
phases is obtained.
