Method of Dimensionality Reduction in Contact Mechanics and Friction

Authors: Popov, Valentin L., Heß, Markus

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  • First book in the field
  • Describes the new and powerful method of dimensionality reduction MDR in tribology
  • MDR reduces development time and facilitates analytical calculations
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eBook 83,29 €
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  • ISBN 978-3-642-53876-6
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Hardcover 103,99 €
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Softcover 103,99 €
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  • ISBN 978-3-662-52509-8
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About this book

This book describes for the first time a simulation method for the fast calculation of contact properties and friction between rough surfaces in a complete form. In contrast to existing simulation methods, the method of dimensionality reduction (MDR) is based on the exact mapping of various types of three-dimensional contact problems onto contacts of one-dimensional foundations. Within the confines of MDR, not only are three dimensional systems reduced to one-dimensional, but also the resulting degrees of freedom are independent from another. Therefore, MDR results in an enormous reduction of the development time for the numerical implementation of contact problems as well as the direct computation time and can ultimately assume a similar role in tribology as FEM has in structure mechanics or CFD methods, in hydrodynamics. Furthermore, it substantially simplifies analytical calculation and presents a sort of “pocket book edition” of the entirety contact mechanics. Measurements of the rheology of bodies in contact as well as their surface topography and adhesive properties are the inputs of the calculations. In particular, it is possible to capture the entire dynamics of a system – beginning with the macroscopic, dynamic contact calculation all the way down to the influence of roughness – in a single numerical simulation model. Accordingly, MDR allows for the unification of the methods of solving contact problems on different scales. The goals of this book are on the one hand, to prove the applicability and reliability of the method and on the other hand, to explain its extremely simple application to those interested.

About the authors

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.

Table of contents (20 chapters)

  • Introduction

    Popov, Valentin L. (et al.)

    Pages 1-5

    Preview Buy Chapter 30,19 €
  • Separation of the Elastic and Inertial Properties in Three-Dimensional Systems

    Popov, Valentin L. (et al.)

    Pages 7-18

    Preview Buy Chapter 30,19 €
  • Normal Contact Problems with Axially-Symmetric Bodies Without Adhesion

    Popov, Valentin L. (et al.)

    Pages 19-37

    Preview Buy Chapter 30,19 €
  • Normal Contact with Adhesion

    Heß, Markus (et al.)

    Pages 39-63

    Preview Buy Chapter 30,19 €
  • Tangential Contact

    Heß, Markus (et al.)

    Pages 65-86

    Preview Buy Chapter 30,19 €

Buy this book

eBook 83,29 €
price for Spain (gross)
  • ISBN 978-3-642-53876-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-642-53875-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-662-52509-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Method of Dimensionality Reduction in Contact Mechanics and Friction
Authors
Copyright
2015
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-53876-6
DOI
10.1007/978-3-642-53876-6
Hardcover ISBN
978-3-642-53875-9
Softcover ISBN
978-3-662-52509-8
Edition Number
1
Number of Pages
XVII, 265
Number of Illustrations
102 b/w illustrations, 13 illustrations in colour
Topics