Three Dimensional Problem of Elasticity Theory for a Semi-infinite Solid Compressed by a Rigid Body

Abstract

In this paper, the analytical method of the axisymmetrical problem of elasticity by Hankel transforms, which was succesfully used by Sneddon for various interesting problems, is extended to the general asymmetrical problem by the aid of the generalized Michell's stress function. Furthermore, the general method is used to obtain the solution for displacement and stress fields in a semi-inflnite elastic solid compressed by a rigid body with an arbitrary shape. Numerical calculation is carried out for a simple case and the distributions of stresses in a e1astic solid have been made clear.