One of the undesirable phenomena in turbomachinery is linked to the contact between rotating and stationary parts, which is more likely to occur when clearance is minimized in order to improve aerodynamic efficiency. These mechanical characteristics favor energy exchanges between the two structures, and this in turn may lead to high dynamic excitations of the impeller and stator or even to unstable vibrations. Lot of numerical studies have been conducted in order to derive a better understanding of the dynamic behavior taking place during blade-to-casing contact. However, the influence of other physical phenomena, such as wear and heating, remain poorly understood. A recent experimental study shows that the dynamic behavior of structures is significantly influenced by both wear and thermal expansion. The focus of this paper therefore is show some effects associated with friction and wear. The numerical study reported in this paper is based on a simplified finite element model of a rotating bladed disk and a flexible casing. The contact algorithm uses an explicit time marching scheme with the Lagrange multipliers method. Friction and wear are formulated respectively by Coulomb's and Archard's Laws.