Abstract: A neutron reflector design which lowers stress in inner reflector members by supporting the inner reflector members on radially adjacent outer reflector members at the interface between the inner and outer reflector members, such that an individual inner reflector member is not supported by an inner reflector member in a layer of the reflector assembly immediately below, and the inner reflector member does not have to bear a load from an inner reflector member in a layer of the reflector assembly immediately above. The lowering of the load carried by the individual inner reflector members with this individual-member-support arrangement reduces stress-induced reflector damage with is enhanced in the high radiation flux environment adjacent to a nuclear reactor core. The inner reflector members are removable for replacement without the need to remove the outer reflector members.