Analytical model of friction behavior during polymer scratching with conical tip

Chengkai JIANG; Han JIANG; Jianwei ZHANG; Guozheng KANG

doi:10.1007/s40544-018-0225-7

Friction 2019, 7(5): 466-478 https://doi.org/10.1007/s40544-018-0225-7

Research Article |

Open Access | Issue | Published: 14 December 2018

Analytical model of friction behavior during polymer scratching with conical tip

Show Author's Information Hide Author's Information 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

Keywords:

elastic recovery, polymer scratch, contact geometry, scratch coefficient of friction

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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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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About this article

Analytical model of friction behavior during polymer scratching with conical tip

Show Author's information Hide Author's Information 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

Abstract

Keywords: elastic recovery, polymer scratch, contact geometry, scratch coefficient of friction

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Acknowledgements

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Publication history

Received: 27 October 2017

Revised: 01 May 2018

Accepted: 11 June 2018

Published: 14 December 2018

Issue date: October 2019

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Acknowledgements

Support from the National Natural Science Foundation of China (11472231) is greatly appreciated. The authors would also like to acknowledge their appreciation regarding the partial financial support from the 2016 Doctoral Innovation Funds of Southwest Jiaotong University.

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