There are super elastic NiTi materials for use as medical components, especially implantable medical components, and methods of fabricating such components to have desired R-phase characteristics in-vivo. Additionally, there are methods of processing a TiNi material to produce an implantable medical component by cold or warm working the TiNi material at least 15%; aging the cold or warm worked TiNi material under stress at between 300-700° C.; and further aging the TiNi material below 300° C. to produce desired R-phase characteristics. Additionally, there are methods of processing a TiNi material to produce a medical component by processing the TiNi material to produce a medical component that has a stress free M*s below a normal body temperature. Additionally, a TiNi material is used to produce a super elastic medical component from a tube, a sheet, a wire or a strip to have a stress free M*s below a normal body temperature.