Contact mechanics in tribology
This book is a modern view of contact mechanics on the problems arising in tribology. The author is a known Russian mechanician, whose teacher L. A. Galin is one of the founders of modern methods in contact mechanics. The book presents the ideas of Galin and their development in the works of the author and other scientists (mainly Soviet school) concerning tribology. The objective is to study friction and wear for different surfaces and bodies. The monograph includes eight main chapters and a brief conclusion. In the first introductory chapter, the author gives a general formulation of contact interactions of bodies from the viewpoint of mechanics. A good review of the corresponding works is made. The second chapter is devoted to the discrete contact problems taking into account micro- and macrogeometries. At first, the author considers periodic contact problems for systems of indenters of the same height and of different heights on an elastic half-space. An important principle of localization is stated. The author shows a sufficient accuracy of stress-strain calculations in multiple contact problems, taking into account real contact in the contact zone and average characteristics in the remaining area. Then, the problem of nonuniform load distribution between indenters is studied. Specific results are presented for systems of cylindrical and spherical punches. Finally, chapter 2 describes a scheme of calculation of contact characteristics with account of micro- and macro-geometry of contacting bodies. The problems of friction in body contact are studied in the third chapter. At first, some contact problems for elastic bodies in sliding contact are presented in two- and three-dimensional formulations. Then, the study of sliding contact for viscoelastic bodies allows to analyze the dependence between mechanical and adhesive components of the friction force. Finally, the author considers the rolling contact of viscoelastic bodies with partial slip in contact zone. The fourth chapter deals with contact problems for bodies with specific surface properties, and with the analysis of mechanical effects of surface layer on contact parameters and internal stresses. At first, the author considers the problem on replacement of defects system localized near some internal surfaces by defect layers with average characteristics under deformation. This allows to calculate averaged stresses at some distance from the defect systems. Then, a periodic contact problem is studied for coated elastic half-space (in particular, for hard and soft coatings). Further, the problem of non-ideal elasticity of the surface layer is presented for rolling and sliding contacts, together with the effects of roughness and with the lubricated contact. The main types and models of wear are described in chapter 5. The sixth chapter is devoted to wear contact problems based on two selected characteristics of contacting body wear, namely wear rate and wear intensity. After formulating of wear contact problems depending on the contact condition, the author investigates two cases, namely case (A) in which there is no change of the body shapes due to their wear, and case (B) when the contact condition at any instant depends on the relative displacement of one of the contacting bodies. Both cases are illustrated by solutions of some specific problems. Then the author considers the problems with time-dependent contact region. The seventh chapter presents problems on the wear of surface-reinforced bodies with variable wear coefficient. The steady-state wear stage is studied for flat punch and an elastic body reinforced inside by strips, and also for a surface reinforced inside by circles. Then, a mathematical model is proposed of a discrete contact wear based on the results of chapter 2 and capable of describing the evolution of a wear process. Finally, the author considers an inverse problem of finding the parameters of a surface structure which provide the optimum wear. Chapter 8 applies some methods presented in the sixth chapter to the analysis of wear kinetics of specific components. In particular, the wear problems are presented for plane journal bearing with thin antifriction coating, for the analysis of rail and wheel wear, and for the wear of a rock-cutting tool. In total, the present monograph is a work combining clear and correct mechanical statements of problems, mathematical rigour, and a wide presentation of numerical results. The book can be recommended to students, post-graduate students, and to the teachers of the corresponding specialities. This book can also be helpful to engineers and to scientists in the related fields.
scientific article; zbMATH DE number 1273386