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Mechanics of Solids and Materials by Vlado Lubarda, Robert Asaro

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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

(15.1) ...

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