Abstract: A friction welding process that is particularly suitable for welding, one to the other, of two hollow, symmetrical, cylindrical bodies, the union of which forms a roller for tracks on tracked machines, in which the edges of the bodies are shaped along an axial cutting plane in which a front part that projects with respect to a rear part of a greater gage, is recognizable, and in which the said front part is joined to the said rear part on at least one of the sides (internal or external) by means of a concave surface section contacting, at a predetermined angle, the adjacent surface; the shape and size of the front part and of the fillets being predetermined in such a way that the burr that forms during welding is placed tangentially in contact with the fillets in proximity of their edge of contact with the said adjacent surfaces. The front part surface may be given a finish whereby it becomes flat, smooth and devoid of chamfer or a radius at the corners.