Development of Discrete Contact Mechanics with Applications to Study the Frictional Interaction of Deformable Bodies

The paper presents a review of the current state of research in the field of discrete contact mechanics, including the main approaches to the formulation of problems, methods of analytical and numerical solution, the results, and the field of their practical use. It is intended for specialists in contact mechanics and tribology and may also be useful to researchers interested in controlling the interaction of deformable bodies due to the engineering of their surfaces.