A surgical heart valve includes a non-collapsible frame having features that enable the frame to expand from an initial condition having a first diameter to an expanded condition having a second diameter larger than the first diameter after the valve has been implanted within a patient. The frame may include members that prevent the unintended expansion of the frame, such as during implantation, and members that prevent the over-expansion of the frame. The surgical heart valve further includes a valve assembly connected to the frame and including a plurality of leaflets.