Page 108 - 摩擦学学报2025年第8期

第 45 卷 第 8 期 摩擦学学报（中英文） Vol 45 No 8
2025 年 8 月 Tribology Aug, 2025

DOI: 10.16078/j.tribology.2024130 CSTR: 32261.14.j.tribology.2024130
肖科, 全孝伟, 向果, 韩彦峰, 周昌其. Lennard-Jones 势对硬涂层球-刚性平板间静摩擦行为的影响研究[J]. 摩擦学学报（中英
文）, 2025, 45(8): 1206−1216. XIAO Ke, QUAN Xiaowei, XIANG Guo, HAN Yanfeng, ZHOU Changqi. Effect of Leonard-Jones
Potential on Static Friction Behavior between Hard-Coated Sphere and Rigid Flat[J]. Tribology, 2025, 45(8): 1206−1216.

Lennard-Jones 势对硬涂层球-刚性平板间

静摩擦行为的影响研究

1
肖 科 , 全孝伟 , 向 果 , 韩彦峰 , 周昌其 2
1
1
2*
(1. 重庆大学 机械与运载工程学院 高端装备机械传动全国重点实验室，重庆 400044；
2. 重庆科技大学 机械与动力工程学院，重庆 401331)
摘 要: 采用有限元方法研究了微米尺度(粗糙峰级)下Lennard-Jones (LJ)势对硬涂层弹塑性球与刚性平板的黏着接
触以及静摩擦行为的影响. 假设球与板之间的接触边界为全黏接，并以接触界面切向刚度的消失作为平板滑动起
始准则. 通过LJ势来计算刚性平板和球体之间的分子间作用力，LJ势通过Abaqus用户子程序同时施加于球体和刚
性平板，并考虑了法向和切向加载过程中球-板分离量实时变化对LJ势的影响. 通过将本文中结果与已发表的文献
数据对比，证明了模型的正确性. 结果表明：随着硬涂层厚度的增加，最大静摩擦系数先增加，在一定厚度时达到最
大值，然后减小，最后趋于平稳；黏着能的增加会增大最大静摩擦系数μ，但不改变其随涂层厚度的变化趋势；最后，
通过对无量纲材料参数开展研究，发现随着无量纲材料参数E co /E su 增加，黏着能δ对静摩擦系数μ影响变弱，而在相
*
同无量纲载荷P 下，增大E co /Y co 会导致黏着力在总外法向载荷中占比增大，从而增大了黏着能的影响.
关键词: 黏着接触; LJ势能; 弹塑性接触; 静摩擦系数; 硬涂层
中图分类号: TH117.1 文献标志码: A 文章编号: 1004-0595(2025)08–1206–11

Effect of Leonard-Jones Potential on Static Friction Behavior

between Hard-Coated Sphere and Rigid Flat

2*
1
1
1
XIAO Ke , QUAN Xiaowei , XIANG Guo , HAN Yanfeng , ZHOU Changqi 2
(1. State Key Laboratory of Mechanical Transmission for Advanced Equipments, School of Mechanical and Vehicle
Engineering, Chongqing University, Chongqing 400044, China;
2. School of Mechanical and Power Engineering, Chongqing University of Science and Technology,
Chongqing 401331, China)
Abstract: The influence of the Lennard-Jones (LJ) potential on the adhesive contact between a hard-coated elastoplastic
sphere and a rigid flat, as well as its impact on the static friction behavior at the micrometer scale, particularly at the
level of roughness peaks, is comprehensively investigated using the finite element method. In this study, a detailed
examination is conducted wherein the contact boundary between the hard-coated elastoplastic sphere and the rigid flat is
meticulously assumed to be fully adhesive, adhering to a fully stick boundary condition. The initiation of sliding at the
interface is determined by the criterion of vanishing tangential stiffness at the contact boundary, a critical factor that
signifies the onset of plate sliding. The intermolecular forces between the rigid flat plate and the hard-coated

Received 24 June 2024, revised 21 August 2024, accepted 23 August 2024, available online 21 July 2025.
*Corresponding author. E-mail: 2437512843@qq.com, Tel: +86-15340440787.
This project was supported by the National Natural Science Foundation of China (52105052, 52375039).
国家自然科学基金项目(52105052, 52375039)资助.