Аннотация:A model is proposed to describe the steady-state regime of wear for a fibrous composite material in contact with a rigid counter body. The composite material is modeled by an elastic half-space with embedded elastic fibers arranged parallel to each other and distributed uniformly. The fibers hardness is assumed to be different from that of the matrix, whereas their elastic moduli are equal. Analytic relations are obtained, and analysis is performed for the characteristics of wear (worn surface shape, effective wear rate, contact pressure distribution) depending on the composite structure parameters such as fiber size and density, relative hardness of the matrix and fibers. In particular, it is shown that the effective wear rate as a function of the fiber density increases if the fibers are harder than the matrix and decreases in the opposite case. The results obtained can be used to control the wear resistance of fibrous composites by choosing appropriate microstructure parameters.