Analytical Expression for the Atomic Friction of a Single Asperity Based on the Prandtl-Tomlinson Model

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外文摘要：The Prandtl-Tomlinson(PT)model has been widely applied to interpret the atomic friction mechanism of a single asperity.In this study,we present an approximate explicit expression for the friction force in the one-dimensional PT model under quasi-static conditions.The'stick-slip'friction curves are first approximated properly by sawtooth-like lines,where the critical points before and after the'slip'motion are described analytically in terms of a dimensionless parameter η.Following this,the average friction force is expressed in a closed form that remains continuous and valid for η＞1.Finally,an analytical expression for the load dependence of atomic friction of a single asperity is derived by connecting the parameter η with the normal load.With the parameters reported in experiments,our prediction shows good agreement with relevant experimental results.

外文关键词：

Atomic frictionStick-slip frictionPrandtl-Tomlinson modelFriction force microscope

作者：

Weike Yuan、Yue Ding、Gangfeng Wang、Xinrui Niu

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作者单位：

Department of Engineering Mechanics,SVL,MML,Xi'an Jiaotong University,Xi'an 710049,China

Department of Mechanical Engineering,City University of Hong Kong,Hong Kong SAR 999077,China

基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaChina Postdoctoral Science FoundationGeneral Research Fund from the Research Grants Council of the Hong Kong Special Administrative Region

项目编号：

1230214112372100121023222023M732799CityU 11302920

出版年：

2024

DOI：

10.1007/s10338-024-00488-2

固体力学学报(英文版)

中国力学学会

固体力学学报(英文版)

影响因子：0.214

ISSN：0894-9166

年,卷(期)：2024.37(3)