Abstract

In this study, by applying Giannakopoulos and Pallot’s stress and displacement equations, and using the Goryacheva’s friction model, the stress and displacement equations are obtained. Finally, by applying analytical method, these equations are solved. By assuming that the roller is rigid and the substrate is almost homogeneous with constant Poisson ratio and constant elastic modulus, the results of frictional effect on stress and displacement fields are achieved and are shown in figures. Using different amounts of friction coefficient, the effect of friction coefficient on stress and displacement inside the contact region in the figures is observed. The new results achieved by the analytical method used in this study for obtaining tangential stress and displacement inside the contact region is compared with the results that were already achieved for obtaining tangential stress and displacement inside the contact region in another study. The comparison between the two analytical methods showed similarity in the results that are achieved by both methods. These results may be very advantageous in the design of suitable substrate and cylinder that are in contact, especially in the model that the substrate is almost homogeneous and the cylinder is rigid.

Key words: Friction, contact, stress field, displacement field.