- 题名/责任者:
- Method of Dimensionality Reduction in Contact Mechanics and Friction by Valentin L. Popov, Markus Heß.
- 版本说明:
- 1st ed. 2015.
- 出版发行项:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
- ISBN:
- 9783642538766
- 其它标准号:
- 10.1007/978-3-642-53876-6
- 载体形态项:
- XVII, 265 p. 115 illus., 13 illus. in color. online resource.
- 其他载体形态:
- Printed edition: 9783662442609
- 其他载体形态:
- Printed edition: 9783642538759
- 其他载体形态:
- Printed edition: 9783662525098
- 个人责任者:
- Popov, Valentin L. author.
- 附加个人名称:
- Heß, Markus. author.
- 附加团体名称:
- SpringerLink (Online service)
- 论题主题:
- Mechanics.
- 论题主题:
- Mechanics, Applied.
- 论题主题:
- Manufactures.
- 论题主题:
- Engineering design.
- 论题主题:
- Applied mathematics.
- 论题主题:
- Engineering mathematics.
- 论题主题:
- Solid Mechanics.
- 论题主题:
- Engineering Design.
- 内容附注:
- 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.
- 摘要附注:
- 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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