Thermally conductive assemblies that provide a heat conduction path include at least one thermally conductive inner member with longitudinally opposing first and second ends and an open center channel and an outer member surrounding the at least one thermally conductive inner member. The outer member is sufficiently flexible to expand outward in response to an outward force applied by the at least one thermally conductive inner member. The at least one inner member can be a plurality of cooperating inner members that have inner surfaces that align to form an inner perimeter surrounding the open center channel.