A press ring structure for mounting upon a barrel of a press consolidator roller is described comprising a plurality of annular segments mutually mechanically engagable such as to form when so engaged a complete annular press ring structure, and adapted to be mountable on a barrel of a press consolidator roller such as when so mounted to form a press ring thereon. An assemblable roller embodying such press ring structures and a method of assembly and for example of repair of such a press consolidator roller are also described.