Method of Dimensionality Reduction in Contact Mechanics and Friction

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.

Valentin L. Popov

Full professor at the Berlin University of Technology, 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 the department of System Dynamics and the Physics of Friction in the Institute of Mechanics at the Berlin University of Technology. His areas of interest include tribology, nanotribology, tribology at low temperatures, biotribology, the influence 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 microstructures, strength of metals and alloys and shape memory alloys. He has published 30 papers in leading international journals during the past 5 years. He is the author of the book "Contact Mechanics and Friction: Physical principles and applications" which appeared in German, English, Chinese and Russian editions. He is the joint editor of international journals and regularly organizes international conferences and workshops over diverse tribological themes. He is a member of the Scientific Council of the German Tribological Society. He has intensively collaborated with many industrial corporations and possesses experience in implementing the results of scientific research in industrial applications.

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.