Contact Problems for Hollow Cylinders Made of an Inhomogeneous Material

Abstract

Contact problems for elastic hollow cylinders made of an inhomogeneous material are considered. The cylinders are subjected to uniformly distributed internal or external pressure and interact with a stiff shroud or finite-length insert. Poisson’s ratio (Young’s modulus) of the elastic material varies along the radial coordinate. The problem equations are reduced to integral equations with respect to contact pressures. A singular asymptotic method, which is fairly effective for contact regions of sufficiently large length, is applied to solve the problem.