Titlebook: Method of Dimensionality Reduction in Contact Mechanics and Friction; Valentin L. Popov,Markus Heß Book 2015 Springer-Verlag Berlin Heidel

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Introduction,lications. Therefore, their simulation, both analytically and numerically, are of major importance. From a mathematical point of view, contacts are described using integral equations having mixed boundary conditions. Furthermore, the stress distribution, the displacements of the surface, and even th

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Normal Contact Problems with Axially-Symmetric Bodies Without Adhesion,lastic foundations. The MDR consists essentially of two simple steps: (a) substitution of the three-dimensional continuum by a uniquely defined one-dimensional linearly elastic or viscoelastic foundation (Winkler foundation) and (b) transformation of the three-dimensional profile of the contacting b

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Normal Contact with Adhesion,d in 2011 by Markus Heß. It is based on the basic idea of Johnson, Kendall, and Roberts that .. Because both parts of the contact problem can be mapped to a one-dimensional equivalent model with a modified geometry, then this is true of the entire problem. To begin, we will formulate the simple rule

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Rolling Contact,ransport mechanisms. In this chapter, it will be shown that the tangentially loaded, three-dimensional rolling contact can also be mapped to a one-dimensional equivalent system. In this way, the method of dimensionality reduction allows complex problems, such as the oscillating rolling contact, to b

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Contacts with Elastomers, needed. These materials are especially used for tires, transportation rollers, shoes, seals, rubber bands, in electronic devices (e.g., contacts for keyboards) as well as applications for adhesion. When compared to purely elastic contacts, the calculation of elastomer contacts is made more difficul

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Normal Contact of Rough Surfaces,vote ourselves to the question of whether rough surfaces can also be handled with the reduction method. The importance of surface roughness for tribological processes was already emphasized by Bowden and Tabor in the 1940s and since that time has become generally accepted. The most important fundame