Method of Dimensionality Reduction in Contact Mechanics and Friction

Prof. Dr. rer. nat. Valentin L. Popov studied physics (1976-1982) and obtained his doctorate in 1985 from the Moscow State Lomonosov University. He worked at the Institute of Strength Physics of the Russian Academy of Sciences. After a guest-professorship in the field of theoretical physics at the University of Paderborn (Germany) from 1999 to 2002, he has headed since 2002 the department of System Dynamics and the Physics of Friction in the Institute of Mechanics at the Berlin University of Technology.Dr. Markus Heß studied physical engineering sciences at TU Berlin. He obtained his doctorate in 2011, receiving in the same year the Research Prize from the German Tribological Society for his dissertation. Since 2011, he has worked for the Studienkolleg at TU Berlin, where he teaches engineering mathematics.

"The present book explains MDR in contact mechanics and friction with quality and innovation in 16 chapters and four appendices. This book can be used in final undergraduate engineering courses (for example, mechanical, materials, and physics) or as a subject on contact mechanics and friction at the postgraduate level. Also, this book can serve as a useful reference for academics, researchers, mechanical, materials and physics engineers, as well as, professionals in related industries with contact mechanics and friction." (International Journal of Surface Science and Engineering, Vol. 10 (6), 2016) "This book describes an interesting method of dimensionality reduction in frictional contact problems. ... The methods explained in the book are simple, elegant and can be efficiently employed in numerical simulation. The book can be used as a textbook at the graduate level and as an introduction into new methods in contact mechanics for practicing engineers." (Prabhat Kumar Mahanti, zbMATH 1314.74004, 2015)

• Introduction.- Separation of the Elastic and Inertial Properties in Three-dimensional Systems.- Normal Contact Problems with Axially-symmetric Bodies without Adhesion.- Normal Contact with Adhesion.- Tangential Contact.- Rolling Contact.- Contact with Elastomers.- Heat Transfer and Heat Generation.- Adhesion with Elastomers.- Normal Contact of Rough Surfaces.- Frictional Force.- Frictional Damping.- Coupling to Macroscopic Dynamics.- Acoustic Emission in Rolling Contacts.- Coupling to the Microscale.- And Now What.- Appendix.