Guide wire devices and other intra-corporal medical devices fabricated from a Ni—Ti—Nb alloy and methods for their manufacture. The Ni—Ti alloy includes nickel, titanium, and niobium either up to its solubility limit in Ni—Ti, or in amounts over 15 atomic percent so as to provide a dual phase alloy. In either case, the Ni—Ti—Nb alloy provides increased stiffness to provide better torque response, steerability, stent scaffolding strength, and similar properties associated with increased stiffness, while still providing super-elastic or linear pseudo-elastic properties.