ON THE GENERALIZATION OF CERRUTI'S PROBLEM IN AN ELASTIC HALF-SPACE

Abstract

A singular boundary-value problem of an elastic half-space subjected to a force vector at one point of the surface is solved. The force vector has three components which are two tangential and one normal forces to the surface. Solutions to the problem are expressed in orthogonal curvilinear coordinates and are applied to rectangular Cartesian, cylindrical and spherical coordinates, as examples of the orthogonal curvilinear coordinates. The expressions for displacement and stress components are demonstrated in these coordinate systems. They are coincident with the solutions of Cerruti's and Boussinesq's problems when the three components of the force vector are specialized.