Table Of ContentContact Mechanics and Friction
Valentin L. Popov
Contact Mechanics
and Friction
Physical Principles and Applications
1 3
ProfessorDr.ValentinL.Popov
Berlin University of Technology
Institute of Mechanics
Strasse des 17.Juni 135
10623Berlin
Germany
[email protected]
ISBN978-3-642-10802-0 e-ISBN978-3-642-10803-7
DOI10.1007/978-3-642-10803-7
SpringerHeidelbergDordrechtLondonNewYork
LibraryofCongressControlNumber:2010921669
(cid:2)c Springer-VerlagBerlinHeidelberg2010
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Dr. Valentin L. Popov
studied physics and obtained his doctorate from the Moscow State Lomonosow
University. He worked at the Institute of Strength Physics and Materials Science
of the Russian Academy of Sciences. After a guest-professorship in the field of
theoretical physics at the University of Paderborn, he has headed the department
of System Dynamics and Friction Physics in the Institute of Mechanics at the Ber-
lin University of Technology since 2002. His areas of interest, among others, in-
clude tribology, nanotribology, tribology at low temperatures, biotribology, the in-
fluence of friction through ultrasound, numerical simulation of frictional
processes, research regarding earthquakes, as well as themes relating to materials
sciences such as the mechanics of elastoplastic media with microstructure,
strength of metals and alloys, and shape memory alloys. He is the joint editor of
international journals and regularly organizes international conferences and work-
shops over diverse tribological themes.
Preface to the English Edition
The English edition of “Contact Mechanics and Friction” lying before you is, for
the most part, the text of the 1st German edition (Springer Publishing, 2009). The
book was expanded by the addition of a chapter on frictional problems in earth-
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. Ko-
charyan and Prof. S. Sobolev for discussions and critical comments on the chapter
over earthquake dynamics. Dr. R. Heise made significant contributions to the de-
velopment and correction of new problems. I would like to convey my affection-
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 proof-
reading.
Berlin, November 2009 V.L. Popov
Preface to the German Edition
He who wishes to better understand the subject of Contact Mechanics and the
Physics of Friction would quickly discover that there is almost no other field that
is so interdisciplinary, exciting, and fascinating. It combines knowledge from
fields such as the theories of elasticity and plasticity, viscoelasticity, materials sci-
ence, fluid mechanics (including both Newtonian and non-Newtonian fluids),
thermodynamics, electrodynamics, system dynamics, and many others. Contact
Mechanics and the Physics of Friction have numerous applications ranging from
measurement and system technologies on a nanoscale to the understanding of
earthquakes and including the sheer overwhelming subject of industrial tribology.
One who has studied and understands Contact Mechanics and the Physics of Fric-
tion will have acquired a complete overview of the different methods that are used
in the engineering sciences.
One goal of this book is to collect and clearly present, in one work, the most
important aspects of this subject and how they relate to each other. Included in
these aspects is, first, the entirety of traditional Contact Mechanics including ad-
hesion and capillarity, then the theory of friction on a macro scale, lubrication, the
foundations of modern nanotribology, system dynamical aspects of machines with
friction (friction induced vibrations), friction related to elastomers, and wear. The
interplay between these aspects can be very complicated in particular cases. In
practical problems, different aspects are always presented in new ways. There is
no simple recipe to solve tribological problems. The only universal recipe is that
one must first understand the system from a tribological point of view. A goal of
this book is to convey this understanding.
It is the solid belief of the author that the essential aspects of mechanical con-
tacts and friction are often much easier than they appear. If one limits oneself to
qualitative estimations, it is then possible to achieve an extensive qualitative un-
derstanding of the countless facets of mechanical contacts and friction. Therefore,
qualitative estimations are highly valued in this book.
In analytical calculations, we limit ourselves to a few classical examples which
we can then take as building blocks and apply them to understand and solve a
wealth of problems with real applications.
A large number of concrete tribological questions, especially if they deal with
meticulous optimization of tribological systems, are not solvable in analytical
form. This book also offers an overview of methods of Numerical Simulation for
Contact Mechanics and Friction. One such method is then explained in detail,
which permits a synthesis of several processes related to contact mechanics from
different spatial ranges within a single model.
Even though this book is primarily a textbook, it can also serve as a reference
for the foundations of this field. Many special cases are presented alongside the
theoretical fundamentals with this goal in mind. These cases are presented as ex-
ercises in their respective chapters. The solutions are provided for every exercise
along with a short explanation and results.
Description:The English edition of “Contact Mechanics and Friction” lying before you is, for the most part, the text of the 1st German edition (Springer Publishing,
