Axisymmetric solution for a semi-infinite elastic circular cylinder of one material indenting an elastic half-space of another material

Abstract

The axisymmetric bonded contact problem of a semi-infinite right circular cylinder of one elastic material indenting a half-space of a different elastic material is reduced to a system of singular integral equations of the second kind. The kernels of the integral equations are found to contain Cauchy and generalized Cauchy-type singularities. The index of the singularity for various material parameters combinations is determined by solving a characteristic determinant, which is obtained by considering the dominant part of the kernels. Using a modification of the method employed in [1], the system of singular integral equations is reduced to a system of simultaneous algebraic equations. The latter may then be solved numerically as in [1].