A munition has preformed fragments at two radial distances from a center axis, for instance having inner fragments in or within or adjacent to a casing, and outer fragments outside of the casing. The outer fragments may be between the casing and an outer enclosure that surrounds the casing. The casing may be part of a warhead, and may be a penetrator casing. The fragments at different radial distances from the center may have different sizes, different materials, and/or different shapes. The use of fragments at different radial distances aids in providing enhanced fragmentation effects, such as controlling dispersal of fragments to limit fragmentation effects and/or provide more even distribution of fragments.