Abstract: The invention disclosed is a composite ring made of press-fitted parts and method of assembling concentric articles having an interference fit, the inner one of which has a surface of a granular material such as ceramic, the method eliminating the customary heat shrinking step by which the outer one, usually of metal, is heated and expanded over the inner one and then cooled to shrink it tightly over the inner one. According to the method disclosed, the ceramic surface is coated with a polyetetrafluoroethylene lubricant and then pressed into the outer one without the use of heat. A mating ring for rotary mechanical end face seals, wherein the mating ring is formed of a ceramic ring pressed into a metal supporting stamping, is also disclosed.