Abstract
Three major types of contact problems for a transversely isotropic elastic halfspace are considered: smooth contact, tangential contact and adhesive contact. Each of the problems are considered in two categories: internal contact problem, where the domain of contact is finite; and external contact problem, characterized by an infinite domain of contact. Simple and exact relationships have been derived between the resultant forces and moments, applied to a punch, and the limiting behavior of normal and tangential displacements at infinity. As long as this limiting behavior is known, the resultant forces and moments can be computed in an elementary manner, making it unnecessary to solve relevant integral equations. Conversely, where the resultant forces and moments are known, the limiting behavior of displacements at infinity can be deduced. It is also shown that these results can be used to verify the correctness of various formulae.
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