Contact problem for plates with rigid inclusions intersecting the boundary

This paper deals with the unilateral contact problem for two elastic plates located at an angle to each other. Both plates contain rigid inclusions intersecting the contact area. The rigid inclusion in the top plate intersects also its external boundary. The lower plate is deformed in its plane with the top plate being vertically deformed. Using a variational method the solvability of the problem is established. Assuming that the solution is sufficiently smooth, the differential statement being equivalent to the variational formulation is justified. We analyze the limit case corresponding to the unbounded increase of the bending rigidity of the top plate.