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The paper presents a mechanical and mathematical model for estimating the wear of rails in the form of a generalized indicator called the wear factor, which includes the total relative sliding caused by turning the truck when entering the curve and rotating the wheel. The wear factor also includes the normal pressure at the point of contact between the wheel flange and rail, the contact area, the friction coefficient, and the coefficient that takes into account the wobble of wheel sets.

Mechanical and mathematical model for estimating the wear rate of the side face of rails