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      Analytical model of friction behavior during polymer scratching with conical tip

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          Abstract

          To investigate the effects of the contact geometry, interfacial friction, and substrate recovery on the behavior of polymer scratching using a conical tip, an analytical model is proposed. The normal stress acting on the contact surface between the tip and the substrate is described as a function of the included angle θ, representing the angle between two planes across the axis of the conical tip, and the attack angle β, representing the angle between the conical surface and the substrate material surface. The effects of the rear contact geometry on the scratch friction between the tip and substrate, represented by recovery angle φ, owing to the instantaneous elastic recovery of the polymer substrate, are also introduced. Validated by the experimental and numerical results from the literature, the proposed analytical model can describe well the scratch coefficient of friction (SCOF), which is defined as the ratio of the tangential force to the normal force. Meaningful guidance is provided to understand the scratch friction behavior.

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          Author and article information

          Contributors
          Journal
          Friction
          Friction
          Tsinghua University Press (Beijing/Hong Kong )
          2223-7704
          2223-7690
          01 October 2019
          01 October 2019
          : 7
          : 5
          : 466-478
          Affiliations
          1Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China
          Author notes
          *Corresponding author: Han JIANG, E-mail: jianghan@ 123456home.swjtu.edu.cn
          Article
          s40544-018-0225-7
          10.1007/s40544-018-0225-7
          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/.

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