Abstract: Resistance welding electrodes and processes using the same are provided. The electrodes have a base portion and an integral nose portion projecting therefrom, with the nose portion terminating in a welding tip face. The nose portion tapers inwardly between said base portion and said welding tip face with a concave profile taper such as a frustum of a vortical surface. The electrodes used may be made up of a conventional copper material having copper combined with one or more metals selected from the group consisting of chromium, zirconium, cadmium, cobalt, nickel, beryllium, tungsten, aluminum, tungsten carbide, iron, and molybdenum. The electrodes may be used in a welding process, which provides for a generally linear increase in current stepping with reduced or eliminated conditioning of the electrodes. The welding tip face has a convex curvature which may range between about a two inch and a eight inch radius of curvature, and which preferably has a radius of curvature of about four inches.