LEADER 04945nam 22007335 450 001 9910299698003321 005 20200703072518.0 010 $a3-642-53876-2 024 7 $a10.1007/978-3-642-53876-6 035 $a(CKB)3710000000224627 035 $a(EBL)1802710 035 $a(SSID)ssj0001338576 035 $a(PQKBManifestationID)11793321 035 $a(PQKBTitleCode)TC0001338576 035 $a(PQKBWorkID)11338070 035 $a(PQKB)11733628 035 $a(DE-He213)978-3-642-53876-6 035 $a(MiAaPQ)EBC1802710 035 $z(PPN)200515098 035 $a(PPN)180621289 035 $a(EXLCZ)993710000000224627 100 $a20140819d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMethod of Dimensionality Reduction in Contact Mechanics and Friction /$fby Valentin L. Popov, Markus Heß 205 $a1st ed. 2015. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2015. 215 $a1 online resource (268 p.) 300 $aDescription based upon print version of record. 311 $a1-322-13884-2 311 $a3-642-53875-4 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aIntroduction -- 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. 330 $aThis 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. 606 $aMechanics 606 $aMechanics, Applied 606 $aManufactures 606 $aEngineering design 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aManufacturing, Machines, Tools, Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/T22050 606 $aEngineering Design$3https://scigraph.springernature.com/ontologies/product-market-codes/T17020 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aManufactures. 615 0$aEngineering design. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aSolid Mechanics. 615 24$aManufacturing, Machines, Tools, Processes. 615 24$aEngineering Design. 615 24$aMathematical and Computational Engineering. 676 $a620.11292 700 $aPopov$b Valentin L$4aut$4http://id.loc.gov/vocabulary/relators/aut$0478415 702 $aHeß$b Markus$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910299698003321 996 $aMethod of Dimensionality Reduction in Contact Mechanics and Friction$92520860 997 $aUNINA