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Method of dimensionality reduction i...

Hess, Markus.

Method of dimensionality reduction in contact mechanics and friction

Record Type:	Electronic resources : Monograph/item
Title/Author:	Method of dimensionality reduction in contact mechanics and frictionby Valentin L. Popov, Markus Hess.
Author:	Popov, Valentin L.
other author:	Hess, Markus.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg :2015.
Description:	xvii, 265 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Contact mechanics.
Online resource:	http://dx.doi.org/10.1007/978-3-642-53876-6
ISBN:	9783642538766 (electronic bk.)

Method of dimensionality reduction in contact mechanics and friction
Popov, Valentin L.

Method of dimensionality reduction in contact mechanics and friction[electronic resource] /by Valentin L. Popov, Markus Hess. - Berlin, Heidelberg :Springer Berlin Heidelberg :2015. - xvii, 265 p. :ill. (some col.), digital ;24 cm.

Introduction -- Separation of the Elastic and Inertial Properties in Three-dimensional Systems -- Normal Contact Problems with Axially-symmetric Bodies without Adhesion -- Normal Contact with Adhesion -- Tangential Contact -- Rolling Contact -- Contact with Elastomers -- Heat Transfer and Heat Generation -- Adhesion with Elastomers -- Normal Contact of Rough Surfaces -- Frictional Force -- Frictional Damping -- Coupling to Macroscopic Dynamics -- Acoustic Emission in Rolling Contacts -- Coupling to the Microscale -- And Now What -- Appendix.

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.

ISBN: 9783642538766 (electronic bk.)

Standard No.: 10.1007/978-3-642-53876-6doiSubjects--Topical Terms:

191926
Contact mechanics.

LC Class. No.: TA353

Dewey Class. No.: 620.105

Method of dimensionality reduction in contact mechanics and friction
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245 1 0 $a Method of dimensionality reduction in contact mechanics and friction $h [electronic resource] / $c by Valentin L. Popov, Markus Hess.
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300 $a xvii, 265 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Introduction -- Separation of the Elastic and Inertial Properties in Three-dimensional Systems -- Normal Contact Problems with Axially-symmetric Bodies without Adhesion -- Normal Contact with Adhesion -- Tangential Contact -- Rolling Contact -- Contact with Elastomers -- Heat Transfer and Heat Generation -- Adhesion with Elastomers -- Normal Contact of Rough Surfaces -- Frictional Force -- Frictional Damping -- Coupling to Macroscopic Dynamics -- Acoustic Emission in Rolling Contacts -- Coupling to the Microscale -- And Now What -- Appendix.
520 $a 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.
650 0 $a Contact mechanics. $3 191926
650 0 $a Friction. $3 378272
650 0 $a Dimension reduction (Statistics) $3 592293
650 1 4 $a Engineering. $3 210888
650 2 4 $a Continuum Mechanics and Mechanics of Materials. $3 273691
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700 1 $a Hess, Markus. $3 373527
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