Tee asymptotic solution of the contact problem for a three-dimensional elastic body of finite dimensions

The asymptotic form of Green's vector function with a pole on the boundary is calculated by the method of matched asymptotic expansions. The expansion obtained is used to construct the asymptotic form of the contact pressure. The equations of the contact problem are derived with integral corrections, which take into account the nature of the attachment and the geometry of the elastic body. Examples of calculations for an elliptic punch are given. (C) 2000 Elsevier Science Ltd. All rights reserved.