Handbook of Contact Mechanics

1. Front Matter

   Pages i-xvi

   PDF

2. Introduction

   • Valentin L. Popov, Markus Heß, Emanuel Willert

   Pages 1-3Open Access

   PDF

3. Normal Contact Without Adhesion

   • Valentin L. Popov, Markus Heß, Emanuel Willert

   Pages 5-66Open Access

   PDF

4. Normal Contact with Adhesion

   • Valentin L. Popov, Markus Heß, Emanuel Willert

   Pages 67-124Open Access

   PDF

5. Tangential Contact

   • Valentin L. Popov, Markus Heß, Emanuel Willert

   Pages 125-173Open Access

   PDF

6. Torsional Contact

   • Valentin L. Popov, Markus Heß, Emanuel Willert

   Pages 175-186Open Access

   PDF

7. Wear

   • Valentin L. Popov, Markus Heß, Emanuel Willert

   Pages 187-204Open Access

   PDF

8. Transversely Isotropic Problems

   • Valentin L. Popov, Markus Heß, Emanuel Willert

   Pages 205-212Open Access

   PDF

9. Viscoelastic Materials

   • Valentin L. Popov, Markus Heß, Emanuel Willert

   Pages 213-249Open Access

   PDF

10. Contact Problems of Functionally Graded Materials

    • Valentin L. Popov, Markus Heß, Emanuel Willert

    Pages 251-293Open Access

    PDF

11. Annular Contacts

    • Valentin L. Popov, Markus Heß, Emanuel Willert

    Pages 295-318Open Access

    PDF

12. Appendix

    • Valentin L. Popov, Markus Heß, Emanuel Willert

    Pages 319-342Open Access

    PDF

13. Back Matter

    Pages 343-347

    PDF

This open access book contains a structured collection of the complete solutions of all essential axisymmetric contact problems. Based on a systematic distinction regarding the type of contact, the regime of friction and the contact geometry, a multitude of technically relevant contact problems from mechanical engineering, the automotive industry and medical engineering are discussed. In addition to contact problems between isotropic elastic and viscoelastic media, contact problems between transversal-isotropic elastic materials and functionally graded materials are addressed, too. The optimization of the latter is a focus of current research especially in the fields of actuator technology and biomechanics. The book takes into account adhesive effects which allow access to contact-mechanical questions about micro- and nano-electromechanical systems.

Solutions of the contact problems include both the relationships between the macroscopic force, displacement and contact length, as well as the stress and displacement fields at the surface and, if appropriate, within the half-space medium. Solutions are always obtained with the simplest available method - usually with the method of dimensionality reduction (MDR) or approaches which use the solution of the non-adhesive normal contact problem to solve the respective contact problem.

• open access
• contact mechanics
• friction
• theory of elasticity
• nanotribology
• biotribology
• complete solution
• axisymmetric contact problems
• method of dimensionality reduction
• tangential contact
• stick
• slip
• adhesion
• torsion
• Hertzian contact
• wear
• transverse isotropy
• elastomers
• functionally graded materials
• inhomogeneous half-space

“This book is highly recommended to all students, researchers, and engineers for readily accessible guidance on contact mechanics.” (Ivan I. Argatov, Mathematical Reviews, November, 2019)

• Technische Universität Berlin , Berlin, Germany

  Valentin L. Popov, Markus Heß, Emanuel Willert

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 the Berlin University of Technology. He obtained his doctorate in 2011, receiving in the same year the Research Prize from the German Tribological Society for his dissertation. From 2011 to 2015 he headed the department of physics at the Studienkolleg of the Berlin University of Technology and taught engineering mathematics and physics. Since 2015, he has been a research associate and lecturer at the department of System Dynamics and the Physics of Friction in the Institute of Mechanics at the Berlin University of Technology. He is the co-author of the book "Method of Dimensionality Reduction in Contact Mechanics and Friction" which appeared in German and English editions.
M. Sc. Emanuel Willert, studied physical engineering sciences at the Berlin University of Technology and the Polytechnic University of Tomsk. Since 2015, he has been a teaching and research assistant at the department of System Dynamics and the Physics of Friction in the Institute of Mechanics at the Berlin University of Technology

Policies and ethics