Method of Dimensionality Reduction in Contact Mechanics and Friction

Autoren: Popov, Valentin L., Heß, Markus

  • 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
Weitere Vorteile

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  • ISBN 978-3-642-53876-6
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Softcover 106,99 €
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  • ISBN 978-3-662-52509-8
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Über dieses Buch

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.

Über den Autor

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.

Inhaltsverzeichnis (20 Kapitel)

  • Introduction

    Popov, Valentin L. (et al.)

    Seiten 1-5

  • Separation of the Elastic and Inertial Properties in Three-Dimensional Systems

    Popov, Valentin L. (et al.)

    Seiten 7-18

  • Normal Contact Problems with Axially-Symmetric Bodies Without Adhesion

    Popov, Valentin L. (et al.)

    Seiten 19-37

  • Normal Contact with Adhesion

    Heß, Markus (et al.)

    Seiten 39-63

  • Tangential Contact

    Heß, Markus (et al.)

    Seiten 65-86

Dieses Buch kaufen

eBook 83,29 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-642-53876-6
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 106,99 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-642-53875-9
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Softcover 106,99 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-662-52509-8
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
eBook Ausleihe  
  • Ausleihdauer: 1 oder 6 Monate
  • kostengünstiger Mietpreis
  • Online-Reader mit Markierungs- und Notizfunktion
  • auf allen Geräten nutzbar
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Bibliografische Information

Bibliographic Information
Buchtitel
Method of Dimensionality Reduction in Contact Mechanics and Friction
Autoren
Copyright
2015
Verlag
Springer-Verlag Berlin Heidelberg
Copyright Inhaber
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
Auflage
1
Seitenzahl
XVII, 265
Anzahl der Bilder
102 schwarz-weiß Abbildungen, 13 Abbildungen in Farbe
Themen