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Research Article | Open Access

Analytical model of friction behavior during polymer scratching with conical tip

Chengkai JIANG, Han JIANG( ), Jianwei ZHANG, Guozheng KANG
Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China
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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.

Keywords

polymer scratchcontact geometryelastic recoveryscratch coefficient of friction

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Friction
Volume 7 Issue 5,
October 2019
Pages 466-478
DOI: 10.1007/s40544-018-0225-7
Cite this article:
JIANG C, JIANG H, ZHANG J, et al. Analytical model of friction behavior during polymer scratching with conical tip. Friction, 2019, 7(5): 466-478. https://doi.org/10.1007/s40544-018-0225-7

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Received: 27 October 2017
Revised: 01 May 2018
Accepted: 11 June 2018
Published: 14 December 2018
© The author(s) 2018

This article is published with open access at Springerlink.com

The articles published in this journal are distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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