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Method of Dimensionality Reduction in Contact Mechanics and Friction (Paperback, Softcover reprint of the original 1st ed. 2015)
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Method of Dimensionality Reduction in Contact Mechanics and Friction (Paperback, Softcover reprint of the original 1st ed. 2015)
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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.
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