On the Stress Distribution in Elastic Contact between Flat End of a Circular Cylinder and a Semi-Infinite Body

Abstract

In this paper, an analysis of contact stress and displacement in the case both ends of an elastic circular cylinder are compressed axisymmetrically or non-axisymmetrically on the plane surface of a semi-infinite elastic body, is made by neglecting the shearing stress on the contact surface. Solutions for the axisymmetric cases of a solid cylinder or a hollow cylinder under internal pressure are obtained in the form of the Bessel series by the iteration method satisfying the boundary conditions successively. Next, for the case of non-axisymmetric contact the method by the power series is applied, i.e., the solutions are expressed by the power series and satisfying the boundary conditions exactly leads to the simultaneous linear equations for the unknown coefficients in these series. Moreover, this non-axisymmetric problem can be solved by the above iteration method. Using the above-mentioned analyses numerical solutions are computed for various rigidities and heights of the cylinder.