Solution of contact optimization problems of cylindrical bodies using hp-FEM

This paper is concerned with a numerical solution of contact optimization problems using displacementbased hp-FEM. Small displacements and deformations are assumed for linear elastic material. The contact optimization problem is performed by controlling the contact pressure. The Coulomb friction is also considered. Special attention is paid to the treatment of the jumps in the displacement derivatives at special points. The mesh is adjusted adaptively so that both the boundary of the contact zone and the boundary of the adhesion and slip zones are nodal points. Examples are presented for axially symmetric problems.