Surface roughness and contact connectivity
| Autor: | Brenda Vyletel, Ilya I. Kudish, Donald K. Cohen |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Surface (mathematics)
Chebyshev polynomials Plane (geometry) Mechanical Engineering Mathematical analysis Geometry Surfaces and Interfaces Surfaces Coatings and Films Exact solutions in general relativity Surface roughness Differentiable function Elastic modulus Asperity (materials science) Mathematics |
| Zdroj: | Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology. 228:735-744 |
| ISSN: | 2041-305X 1350-6501 |
| DOI: | 10.1177/1350650114528169 |
| Popis: | Solution of a plane frictionless contact problem for two rough elastic solids is considered. An exact solution of the problem resulting in a singly connected contact region is considered, and it is conveniently expressed in the form of a series in Chebyshev polynomials. A sufficient (not necessary) condition for a contact of the solids to be singly connected is derived. The singly connected contact condition depends on the surface micro-topography, material effective elastic modulus, solid shapes, and applied load. It is determined that under certain conditions, a normal contact of three times differentiable rough surfaces with sufficiently small asperity amplitude and/or sufficiently large applied load is singly connected. |
| Databáze: | OpenAIRE |
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