近日，西华大学胡宁团队报道了基于累积摩擦耗散法的变摩擦系数双边约束滑动接触问题分析。相关论文于2025年12月8日发表在《理论与应用力学快报》杂志上。

研究组分析了双边约束滑动接触中接触力学与摩擦磨损行为之间的双向关系。在库仑摩擦定律中加入了一个表示接触面状态的内部状态变量来解释磨损现象。他们构建了一种接触检测方法，利用滑块与滑块之间接触区域上顶点的矢量相关特征，识别两个元素在接触过程中的位置关系。通过引入稳定因子，构造了刚性双边约束的双势函数。结合势能-库仑接触力模型，提出了基于累积摩擦耗散的变摩擦接触问题的数值算法，并初步实现了刚体双边接触问题的数值求解。

研究组将该算法应用于某滑动机构恒摩擦和变摩擦条件下的双边约束分析，研究了磨损和接触间隙因素的影响。数值结果表明，该算法符合能量守恒原理和动力学规律，验证了算法的有效性。这项工作扩展了双势函数方法的适用性，为优化双边非理想接触结构和预测设备使用寿命提供了理论基础和分析工具。

附：英文原文

Title: Analysis of bilateral constrained sliding contact problems with variable friction coefficients via a cumulative frictional dissipation approach

Author: Ling Tao, Ling Wang, Ning Hu, Shaowei Tong, Hong Wen, Qingshui Qiu

Issue&Volume: 2025-12-08

Abstract: This work investigates the bidirectional relationship between contact mechanics and frictional wear behavior in bilateral constrained sliding contact. An internal state variable representing the contact surface condition is incorporated into the Coulomb friction law to account for wear phenomena. A contact detection method has been constructed to identify the positional relationship between two elements during contact, leveraging vector-related features of the vertices on the contact area between the slideway and the slider. A bipotential function for rigid bilateral constraints is formulated by introducing a stability factor. Combining the potential-Coulomb contact force model, a numerical algorithm is developed for variable friction contact problems on the basis of cumulative frictional dissipation and is initially implemented for rigid body bilateral contact problems. The algorithm is subsequently applied to bilateral constraint analysis in a sliding mechanism under both constant and variable friction conditions, and the influences of the wear and contact clearance factors are studied. The numerical results demonstrate consistency with energy conservation principles and dynamic laws, validating the effectiveness of the proposed algorithm. This work extends the applicability of the bipotential function approach and provides a theoretical foundation and analytical tools for optimizing bilateral nonideal contact structures and predicting equipment service life.

DOI: 10.1016/j.taml.2025.100641

Source: http://taml.cstam.org.cn/article/doi/10.1016/j.taml.2025.100641pageType=en