4.5 Article

Unloading contact mechanics analysis of elastic-plastic fractal surface

Journal

ARCHIVE OF APPLIED MECHANICS
Volume 91, Issue 6, Pages 2697-2712

Publisher

SPRINGER
DOI: 10.1007/s00419-021-01918-0

Keywords

Contact mechanics; Elastic– plastic deformation; Unloading analysis; Fractal surface

Categories

Funding

  1. National Natural Science Foundation of China (NSFC) [51905354]
  2. Natural Science Foundation of Liaoning Province of China [2019-BS-186]
  3. Scientific Research Fund of Liaoning Education Department [JYT19030]
  4. Postdoctoral fund of Northeastern University [20200201]
  5. Scientific Research Foundation of Shenyang Aerospace University [18YB56]

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This paper establishes an unloading fractal prediction model between rough contact surfaces based on a three-dimensional fractal loading model and previous research results, revealing that the unloading process depends on the final loading state of the surface, and both the friction factor and fractal dimension of the contact surface have significant effects on the unloading model.
At present, there are many researches on the loading between contact surfaces, but it is also very important to predict the unloading process between rough surfaces. In this paper, based on the three-dimensional fractal loading model we built earlier and the unloading finite element results of the single asperity by Etsion et al., the unloading fractal prediction model between rough contact surfaces is established. The model takes into account the friction factor between surfaces, the three-dimensional fractal characteristics of rough surfaces and the elastic-plastic deformation mechanism of asperities. The model is compared with the unloading model based on the two-dimensional fractal curve established by Miao et al. and the finite element results. The results show that the unloading process between rough surfaces depends on the final loading state of the surface; the loading and unloading curves form a hysteresis loop, which represents the energy dissipation in a contact cycle; both the friction factor and fractal dimension of the contact surface have important effects on the unloading model.

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