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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,ults of the one-dimensional model correspond exactly to those of a three-dimensional model. According to this mapping concept, solving contact-mechanical problems is trivialized is such a way as to require no special knowledge other than the fundamentals of algebra and calculus.
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Normal Contact of Rough Surfaces, there exist theoretical as well as the empirical reasons for why the method of dimensionality reduction is also able to be applied to randomly rough surfaces. In this way, the method presents itself as a practical tool for the fast calculation of contact problems.
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And Now What?,or can further simplify its application. At no point in this chapter will a claim to a final and ultimate truth be made. Our goal is much more to make the simulation possible to within a good approximation for instances in which simulations have not yet been possible.
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Normal Contact with Adhesion,e detail, which requires a certain understanding of the theoretical background on adhesion in three-dimensional contacts, which we will also provide. For those not satisfied with these short explanations, the entirety of the necessary evidence may be found in Chap. 17.
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