Multiscale Modelling in Contact Mechanics

The approach to investigate the contact interaction and wear of deformable bodies with rough surfaces is developed. It is based on multiscale analysis: at microscale the models to study the additional displacement function and the wear rate for various microgeometry parameters are developed and used for mathematical formulation of the contact problems at macroscale. The results of calculation of the real and nominal contact pressure in normal contact of elastic bodies with given micro- and macrogeometry, and evolution of the surface macrogeometry in wear process are presented.