ABSTRACT
A contact problem of friction for a hyperelastic long thin-walled tube is studied here. One end of the tube is placed over an immovable, rough, rigid cone. The deformation of the tube is assumed finite and axisymmetric. The tube is modeled by a semi-infinite cylindrical membrane composed of an incompressible, homogeneous, isotropic elastic material. The contact between the membrane and the rigid cone is modelled by dry friction. The membrane does not slide off the rigid cone only by friction and at a sufficient contact area. Friction is described by Coulomb’s law. We study minimum length of the membrane, which is in contact with the rigid cone and required to hold the membrane on the rigid cone. We obtain an solution for the Bartenev–Khazanovich (Varga) strain-energy function.
