Blog
About

62
views
0
recommends
+1 Recommend
1 collections
    3
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Model of contact friction based on extreme value statistics

      , 1 , 1

      Friction

      Tsinghua University Press

      Amonton’s law, contact mechanics, extreme value statistics, friction

      Read this article at

      ScienceOpenPublisher
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          We propose a model based on extreme value statistics (EVS) and combine it with different models for single-asperity contact, including adhesive and elasto-plastic contacts, to derive a relation between the applied load and the friction force on a rough interface. We determine that, when the summit distribution is Gumbel and the contact model is Hertzian, we obtain the closest conformity with Amonton’s law. The range over which Gumbel distribution mimics Amonton’s law is wider than that of the Greenwood–Williamson (GW) model. However, exact conformity with Amonton’s law is not observed for any of the well-known EVS distributions. Plastic deformations in the contact area reduce the relative change in pressure slightly with Gumbel distribution. Interestingly, when elasto-plastic contact is assumed for the asperities, together with Gumbel distribution for summits, the best conformity with Amonton’s law is achieved. Other extreme value statistics are also studied, and the results are presented. We combine Gumbel distribution with the GW–McCool model, which is an improved version of the GW model, and the new model considers a bandwidth for wavelengths α. Comparisons of this model with the original GW–McCool model and other simplified versions of the Bush–Gibson–Thomas theory reveal that Gumbel distribution has a better conformity with Amonton’s law for all values of α. When the adhesive contact model is used, the main observation is that there is some friction for zero or even negative applied load. Asperities with a height even less than the separation between the two surfaces are in contact. For a small value of the adhesion parameter, a better conformity with Amonton’s law is observed. The relative pressure increases for stronger adhesion, which indicates that adhesion-controlled friction is dominated by load-controlled friction. We also observe that adhesion increases on a surface with a lower value of roughness.

          Related collections

          Author and article information

          Contributors
          Journal
          Friction
          Friction
          Tsinghua University Press (Beijing/Hong Kong )
          2223-7704
          2223-7690
          01 August 2019
          01 October 2019
          : 7
          : 4
          : 327-339
          Affiliations
          1Department of Physics, Sharif University of Technology, Tehran 11165-9161, Iran
          Author notes
          *Corresponding author: A. MALEKAN, E-mail: malekan_azadeh@ 123456physics.sharif.edu
          Article
          s40544-018-0215-9
          10.1007/s40544-018-0215-9
          Copyright © Journals of Tsinghua University Press

          This is an open-access article distributed under the terms of the Creative Commons Attribution 4.0 Unported License (CC BY-NC 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. See https://creativecommons.org/licenses/by-nc/4.0/.

          Categories
          Research Articles

          Comments

          Comment on this article