A Torsional Vibration Damper includes a hub, a ring, and a rubber member that is compression fitted between the outer surface of the hub and the inner surface of the ring. The cross-sectional profile of the outer surface of the hub and the inner surface of the ring after the assembly of the TVD consists of two concave or convex arcs with their radii such that the cross-sectional profile's gap increases from the center to the sides. This variation of the cross-sectional profile's gap reduces the principal-strain buildup in the rubber, thereby improving the life of the Torsional Vibration Damper. This design also facilitates proper assembly as the components are self aligning.