Overview
- Comprehensive reference open access book for axially symmetrical contact problems
- Presentation of the exact solutions for practical application in industry and research
- Complete, explicit, easy to follow solutions due to the newly developed method of dimensionality reduction (MDR)
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About this book
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.Similar content being viewed by others
Keywords
- 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
Table of contents (11 chapters)
Reviews
Authors and Affiliations
About the authors
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
Bibliographic Information
Book Title: Handbook of Contact Mechanics
Book Subtitle: Exact Solutions of Axisymmetric Contact Problems
Authors: Valentin L. Popov, Markus Heß, Emanuel Willert
DOI: https://doi.org/10.1007/978-3-662-58709-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Authors 2019
Hardcover ISBN: 978-3-662-58708-9Published: 08 May 2019
eBook ISBN: 978-3-662-58709-6Published: 26 April 2019
Edition Number: 1
Number of Pages: XVI, 347
Number of Illustrations: 210 b/w illustrations, 19 illustrations in colour
Additional Information: Translation from the German Language edition: Popov et al: Handbuch der Kontaktmechanik, © Springer-Verlag GmbH Deutschland 2018
Topics: Solid Mechanics, Classical Mechanics, Mathematical and Computational Engineering