A balloon or balloon cover comprising a composite material having a least one expanded fluoropolymer material and an elastomer is provided. The expanded fluoropolymer material can contain serpentine fibrils. In exemplary embodiments, the fluoropolymer is polytetrafluoroethylene. The composite material may be axially, helically, and/or circumferentially wrapped to form a balloon or balloon cover. The balloon or balloon cover exhibits a sharp increase in stiffness at a predetermined diameter. The balloon or balloon cover can be designed to have a stop point in either a radial or axial direction.