Contact Problems for Hollow Cylinders Made of a Nonhomogeneous Material
D. A. Pozharskii1, N. B. Zolotov2
1Don State Technical University, Rostov-on-Don, 344000, Russia
2Southern Federal University, Rostov-on-Don, 344090, Russia
Keywords: цилиндр из упругого неоднородного материала, контакт, асимптотика, cylinder made of an elastic nonhomogeneous material, contact, asymptotic
Abstract
Contact problems for elastic hollow cylinders made of a nonhomogeneous materia 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.
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