Contact problem for a transversely isotropic cylinder radially compressed by a rigid toroidal indenter

In this study, an elastostatic contact problem for a radially compressed transversely isotropic cylinder subjected to radial compression through a circumferential indenter is considered. The extent of the contact region and the stress distribution are sought. The problem is formulated for an elastic cylinder in the absence of body forces. It is assumed that the contact between the cylinder and the rigid indenter is frictionless and only compressive normal tractions can be transmitted through the interface. Due to the geometry of the configuration, Fourier transform techniques are chosen. The problem is reduced to a singular integral equation. It is reduced to linear algebraic equations system by using Gauss Chebyshev Integration Formulae. This system is solved by using the Gauss Elimination method. The values are evaluated for various discrete points. Numerical results for the radial stress and the distance characterizing the contact area are given in graphical form for single circular smooth indenter.