An improved tubular structure adapted to increase in diameter upon application of axial force is provided. Increase in diameter is achieved by constructing the tube from multiple layers of material that move relative to each other during axial elongation of the tube. The tube of the present invention can be used both to avoid problems in "necking" found in many prior tube devices, and to provide additional benefits that increases in diameter of the tube during axial elongation can provide. As such, the tube of the present invention may be useful as a manufacturing aid, as a deployment sheath (for example, to deliver medical devices), and in other applications that may benefit from easier tubular sheath removal.