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Table of contents

  1. Front Matter
    Pages i-xvi
  2. Valentin L. Popov, Markus Heß, Emanuel Willert
    Pages 1-3 Open Access
  3. Valentin L. Popov, Markus Heß, Emanuel Willert
    Pages 5-66 Open Access
  4. Valentin L. Popov, Markus Heß, Emanuel Willert
    Pages 67-124 Open Access
  5. Valentin L. Popov, Markus Heß, Emanuel Willert
    Pages 125-173 Open Access
  6. Valentin L. Popov, Markus Heß, Emanuel Willert
    Pages 175-186 Open Access
  7. Valentin L. Popov, Markus Heß, Emanuel Willert
    Pages 187-204 Open Access
  8. Valentin L. Popov, Markus Heß, Emanuel Willert
    Pages 205-212 Open Access
  9. Valentin L. Popov, Markus Heß, Emanuel Willert
    Pages 213-249 Open Access
  10. Valentin L. Popov, Markus Heß, Emanuel Willert
    Pages 251-293 Open Access
  11. Valentin L. Popov, Markus Heß, Emanuel Willert
    Pages 295-318 Open Access
  12. Valentin L. Popov, Markus Heß, Emanuel Willert
    Pages 319-342 Open Access
  13. Back Matter
    Pages 343-347

About this book

Introduction

This open access book contains a structured collection of complete solutions of all significant axially symmetric contact problems. It provides solutions for classical profiles such as the sphere, cone or flat cylindrical punch as well as a multitude of other technically relevant shapes, e.g. the truncated cone, the worn sphere, rough profiles, hollow cylinders, etc. Normal, tangential and torsional contacts with and without adhesion are examined. Elastically isotropic, transversally isotropic, viscoelastic and functionally graded media are addressed. 

The solutions of the contact problems cover the relationships between the macroscopic quantities of force and displacement, the contact configuration as well as the stress and displacement fields at the surface and in some cases within the half-space medium. The solutions are obtained by the simplest available method – usually involving the method of dimensionality reduction or approaches of reduction to the non-adhesive normal contact problem. 

The target audiences

This book is geared towards engineers working in e.g. mechanical engineering, the tire industry, the automotive industry, polymer- and elastomer manufacturing. Additionally, it functions as a reference work for research and teaching.

Prof. Dr. rer. nat. Valentin L. Popov studied physics and obtained his doctorate in 1985 from the Lomonosov Moscow State University. He habilitated 1994 at the Institute of Strength Physics and Materials Science of the Russian Academy of Sciences. Since 2002 he has headed the Chair of System Dynamics and Friction Physics in the Institute of Mechanics at TU Berlin. 

Dr. Markus Heß studied Engineering Science at TU Berlin. He obtained his doctorate in 2011 and in the same year received the research award of the German Tribology Society for his dissertation. From 2011 to 2015 he headed the physics department of the preparatory college of TU Berlin and since 2015 has been working as an assistant professor at the Chair of System Dynamics and Friction Physics.

M.Sc. Emanuel Willert studied Engineering Science at TU Berlin and the Tomsk Polytech-nic University. Since 2015 he has been working as a research assistant at the Chair of System Dynamics and Friction Physics.


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

Authors and affiliations

  • Valentin L. Popov
    • 1
  • Markus Heß
    • 2
  • Emanuel Willert
    • 3
  1. 1.Technische Universität Berlin BerlinGermany
  2. 2.Technische Universität Berlin BerlinGermany
  3. 3.Technische Universität Berlin BerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-58709-6
  • Copyright Information The Authors 2019
  • License CC BY
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-662-58708-9
  • Online ISBN 978-3-662-58709-6
  • Buy this book on publisher's site
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