Abstract
Having established a basic theoretical and implementational framework from which to view problems in nonlinear mechanics, we begin now with our specific study of contact problems. The problems discussed in the past chapter, while widely representative of issues arising in nonlinear solid mechanics, are also noteworthy in that the boundary conditions required to pose them are in some sense rather idealized. In the framework established thusfar, displacements and tractions that are to be posed on material boundaries are known a priori, as are the areas over which they act. Effectively, when we wish to extend such a framework to encompass potential contact between multiple bodies, we must introduce a new notational framework in which contact areas, contact forces, and motions of associated boundaries are unknown beforehand, and must be determined as part of the solution.
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