Sheath assemblies incorporating slotted structures at one or more areas provide areas of different flexibility and bendability characteristics along the length of the sheath assembly. An inner tubular member has an arrangement of discontinuous slots along at least a portion of its length, with at least some of the slots terminating in an enlarged aperture at at least one terminus of the slot, and a flexible outer tubular member contacts and extends over at least a portion of the inner tubular member.