Plane contact problem for a half-space with boundary imperfections

In this paper the new micrmodelling approach to the contact problem for a half!space with boundary imperfections is proposed[ The approach is based on a periodic distribution of micro!undulations along the space boundary and leads to the 1!D mathematical macro!model of the contact problem[ The general idea of the modelling takes into account certain concepts used in the investigation of periodic composite materials "see e[g[ Woz niak\ 0882#[ The resulting model constitutes a generalization of the known Winkler!type model "see e[g[ Shtayerman\ 0838#[ The numerical solution to the special problem shows the boundary imperfections e}ect on the contact of bodies[