Tension of an inflated cylindrical membrane threaded through a hole

Abstract

This paper considers the frictional contact between an inflated thin-walled long hyperelastic tube and a thin rigid plate with a hole. The tube is threaded through the hole. The radius of the hole is smaller than the radius of the inflated tube. A force is applied to one end of the tube. Up to a certain value of the longitudinal force, the tube will be in equilibrium due to frictional forces. The paper studies the dependence of the ultimate force on the size of the hole, the friction coefficient and the internal pressure.