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Analytical Expression for the Atomic Friction of a Single Asperity Based on the prandtl-tomlinson model

Acta Mechanica Solida Sinica 2024年第3期37卷 416-422页

作者： Weike Yuan Yue Ding Gangfeng Wang Xinrui Niu Department of Engineering Mechanics SVLMMLXi’an Jiaotong UniversityXi’an710049China Department of Mechanical Engineering City University of Hong KongHong Kong SAR999077China

The prandtl-tomlinson(PT)model has been widely applied to interpret the atomic friction mechanism of a single *** this study,we present an approximate explicit expression for the friction force in the one-dimensional PT model under quasi-static ***‘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 parameterη.Following this,the average friction force is expressed in a closed form that remains continuous and valid forη>***,an analytical expression for the load dependence of atomic friction of a single asperity is derived by connecting the parameterηwith the normal *** the parameters reported in experiments,our prediction shows good agreement with relevant experimental results.

关键词： Atomic friction Stick-slip friction prandtl-tomlinson model Friction force microscope

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On the asymptotic expressions of critical energy barrier in prandtl-tomlinson model

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International Journal of Smart and Nano Materials 2019年第2期10卷 107-115页

作者： Rong-Guang Xu Yuan Xiang Qi Rao Yongsheng Leng Department of Mechanical and Aerospace Engineering The George Washington UniversityWashingtonDCUSA

The prandtl-tomlinson(PT)model is the most widely used and successful minimalistic model to describe atomistic scale *** can describe the thermally activated,stress assistant process which shows stick-slip frictional *** relationship between the energy barrier and lateral force is critical to determine how the frictional force depends on velocity and *** is some confusion in the literature to derive such *** underlying assumption and approximations are not stated in a clear way and the rigorous derivations are *** study discusses the asymptotic behavior of the energy barrier as the support-spring coupling lowers it to zero and gives a detailed derivation of the asymptotic expression of the energy barrier within the framework of PT model.

关键词： prandtl-tomlinson model friction stick-slip friction force microscope

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