Contact Mechanics and Friction: Physical Principles and Applications

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Springer Science & Business Media, Mar 10, 2010 - Technology & Engineering - 362 pages
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The English edition of “Contact Mechanics and Friction” lying before you is, for st the most part, the text of the 1 German edition (Springer Publishing, 2009). The book was expanded by the addition of a chapter on frictional problems in ear- quake research. Additionally, Chapter 15 was supplemented by a section on elasto-hydrodynamics. The problem sections of several chapters were enriched by the addition of new examples. This book would not have been possible without the active support of J. Gray, who translated it from the German edition. I would like to thank Prof. G. G. - charyan and Prof. S. Sobolev for discussions and critical comments on the chapter over earthquake dynamics. Dr. R. Heise made significant contributions to the - velopment and correction of new problems. I would like to convey my affecti- ate thanks to Dr. J. Starcevic for her complete support during the composition of this book. I want to thank Ms. Ch. Koll for her patience in creating figures and Dr. R. Heise, M. Popov, M. Heß, S. Kürscher, and B. Grzemba for their help in pro- reading. Berlin, November 2009 V.L. Popov Preface to the German Edition

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Martin Müser, Tribology Letters, DOI 10.1007/s11249-010-9673-6, published online 25 July 2010:
Although contact mechanics and friction has been studied for centuries, no definitive textbook has
emerged on these topics. Part of the reason for this shortcoming may lie in the multi-disciplinary nature of tribology, which ideally requires a competent knowledge of the mechanics of continuous media, materials science, and various sub-disciplines of physics such as statistical mechanics. The largest difficulty in writing a textbook may be related to the absence of a generally applicable formalism, such as perturbation theory or linear response theory, with which one could tackle systematically tribological problems. Consequently, most treatises on the topic either have picture book quality or in the other extreme are so complicated that even the most educated and talented graduate students cannot follow. Valentin Popov managed to find a compromise in his book Contact Mechanics and Friction. His treatise contains many explanations and model calculations, which capture the essence of the given problem and yet do not require complicated formalisms. This way, Popov puts a reader equipped with good intuition into a position to tackle quite a few tribological problems in a semi-quantitative fashion.
The 20 chapters deal with a variety of engineering and physical aspects of tribology. Examples are microscopic models for the origin of friction or superlubricity, rolling contacts, rubbing-induced wear, rheology of lubricants, squeaking brakes, and earthquakes. The book is organized extremely well – in particular as it comes to Hertz contact mechanics and its generalizations. It is regrettable however that Persson’s contact mechanics theory and its consequences have not been discussed and instead preference was given to Greenwood and Williamson theory, which is based on assumptions that are now disproved.
The large number of solved problems at the end of each chapter is a definite advantage of the book. This is why it can be a great benefit to those who teach tribology. Nonetheless, some effort has to be made in order to understand the finesse of various calculations. Meaningful references are given to those who want to refine the material as a teacher or to indulge in tribological research. Overall, Contact Mechanics and Friction is a well-written if not desperately needed textbook on tribology. If more effort is made to improve on the didactics of the book in future editions, it may even become a standard treatise.


1 Introduction
2 Qualitative Treatment of Contact Problems Normal Contact without Adhesion
3 Qualitative Treatment of Adhesive Contacts
4 Capillary Forces
5 Rigorous Treatment of Contact Problems Hertzian Contact
6 Rigorous Treatment of Contact Problems Adhesive Contact
7 Contact between Rough Surfaces
8 Tangential Contact Problems
14 Lubricated Systems
15 Viscoelastic Properties of Elastomers
16 Rubber Friction and Contact Mechanics ofRubber
17 Wear
18 Friction Under the Influence of UltrasonicVibrations
19 Numerical Simulation Methods in FrictionPhysics
20 Earthquakes and Friction

9 Rolling Contact
10 Coulombs Law of Friction
11 The PrandtlTomlinson Model for DryFriction
12 Frictionally Induced Vibrations
13 Thermal Effects in Contacts
Further Reading
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