15 Plane Contact Problems
The basic problem considered in this chapter is one in which a rigid “punch” is forced into the surface of an elastic half-space of semi-infinite extent. If the indenter is idealized as rigid, the problem is displacement driven. We examine the problem by both considering imposed forces on the surface of a half-space as well as by imposing displacements. Plane strain conditions are assumed to prevail.
15.1 Wedge Problem
Consider the problem of a “wedge” loaded at its corner by a force f as shown in Fig. 15.1. The geometry involved suggests that a polar coordinate system be used. We seek solutions of the form