The contact area in brake systems shows characteristic structures. With respect to wear an equilibrium of flow of growing and destruction of hard patches is to be found on the contact surface. These patches modulate the friction coefficient of the brake system. The paper deals with this principal wear mechanism of brake pads which leads to a new type of differential equation of second order for the dynamic friction coefficient describing the stationary and transient friction behaviour of brake pads. Many known effects of friction in such systems are covered by the solutions of this new model.