On linear wear of a layered base by a system of rough punches

Abstract

Abstract The article is devoted to solving the problem of linear wear of a base with a nonuniform coating by a system of punches with complex base profile. Such coatings can be obtained, for example, using additive manufacturing technology. It is shown that to this end it is necessary to study and construct a solution to the system of mixed integral equations with additional conditions, which include several rapidly changing functions, since the punches can have a complex shape, and the coating nonuniformity can be described even by a discontinuous function. In the constructed solution, the functions related to the properties of the coating and the forms of the dies are explicitly identified, which allows efficient and accurate calculations.