On the asymptotic expressions of critical energy barrier in Prandtl-Tomlinson model

作     者：Rong-Guang Xu Yuan Xiang Qi Rao Yongsheng Leng 

作者机构：Department of Mechanical and Aerospace EngineeringThe George Washington UniversityWashingtonDCUSA 

出 版 物：《International Journal of Smart and Nano Materials》 (国际智能和纳米材料杂志（英文）)

年 卷 期：2019年第10卷第2期

页      面：107-115页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0813[工学-建筑学] 0814[工学-土木工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：supported by the National Science Foundation 

主　　题：Prandtl-Tomlinson model friction stick-slip friction force microscope 

摘      要：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.