The opportunity of application of composite (chaotically - spatial) materials in the pairs of friction of axle box frictional dampers of passenger car truck is considered. The number of materials of a various composition for frictional interaction, ensuring a stable work of integrations in the period of the set term of service life, is investigated. The investigations of wear of elements of mobile integrations are carried out and the principal parameter of longevity of integrations (a speed of wearing) is determined. The recommendations on preferable application of the considered materials are given.