The invention is directed to an expandable stent for implantation in a body lumen, such as an artery, and a method for making it from a single length of tubing. The stent consists of a plurality of radially expandable cylindrical elements generally aligned on a common axis and interconnected by one or more links. A Y-shaped member comprised of a link and a U-shaped member has relief dimples formed in the curved portion of a valley to reduce localized stress and thereby reduce fatigue failure that can lead to link structure failure.