万小东,孙其勋,刘健犇,王珊,吴仲岿.基于界面相互作用的黏附接触数学模型研究进展[J].表面技术,2024,53(1):33-47, 77.
WAN Xiaodong,SUN Qixun,LIU Jianben,WANG Shan,WU Zhongkui.Research Progress on Mathematical Model of Adhesive Contact Based on Interface Interaction[J].Surface Technology,2024,53(1):33-47, 77
基于界面相互作用的黏附接触数学模型研究进展
Research Progress on Mathematical Model of Adhesive Contact Based on Interface Interaction
投稿时间:2022-10-27  修订日期:2023-05-06
DOI:10.16490/j.cnki.issn.1001-3660.2024.01.003
中文关键词:  黏附  弹性体接触  剥离  粗糙表面  数学模型
英文关键词:adhesion  elastomer contact  stripping  rough surface  mathematical model
基金项目:电网环境保护国家重点实验室开放基金(GYW51202201426)
作者单位
万小东 电网环境保护国家重点实验室,武汉 430047 
孙其勋 武汉理工大学,武汉 430070 
刘健犇 电网环境保护国家重点实验室,武汉 430047 
王珊 武汉理工大学,武汉 430070 
吴仲岿 武汉理工大学,武汉 430070 
AuthorInstitution
WAN Xiaodong State Key Laboratory of Power Grid Environmental Protection, Wuhan 430047, China 
SUN Qixun Wuhan University of Technology, Wuhan 430070, China 
LIU Jianben State Key Laboratory of Power Grid Environmental Protection, Wuhan 430047, China 
WANG Shan Wuhan University of Technology, Wuhan 430070, China 
WU Zhongkui Wuhan University of Technology, Wuhan 430070, China 
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中文摘要:
      黏附接触现象在各个领域都有着很重要的作用和影响。若要分析物体间的黏附接触行为,则建立相应的数学模型是有效的方法之一。现有文献中的数学模型种类繁多,对于不同受力情况下的黏附现象所适用的理论也不尽相同。针对常见的黏附现象,按照其不同的受力形式分为弹性体接触、粗糙表面黏附及基材表面剥离等几大类,分别对以上几类接触行为采用的理论模型及其应用进行了归纳分析整理。综合叙述了基于计算机模拟技术的现代仿真模型的基本原理、应用和发展,重点介绍了适用于一般物体之间黏附行为分析的通用模型,以期为黏附接触领域的研究和建模提供指导和参考。对于弹性体接触的情况,重点介绍了经典力学接触理论的基本公式和适用类型,包括Hertz接触理论、JKR模型和DMT模型等,并依据Tabor数讨论了JKR模型与DMT模型的差异。对于粗糙表面的黏附接触,重点介绍了Greenwood和Williamson(GW模型)所提出的多凸起模型的基本理论和局限性。对于材料的表面剥离情况,重点介绍了剥离力学中应用最广泛的Kendall剥离模型的基本理论。对于现代仿真技术手段,重点介绍了分子动力学模型(MD模型)和有限元模型(FEM)的基本思想和优缺点。之后分别对以上各类模型的拓展完善、应用领域及研究进展进行了归纳总结,最后对黏附接触领域数学模型的发展方向进行了展望。
英文摘要:
      Adhesion is a phenomenon that a substance is attached to the surface of another substance, and adhesion force refers to the external force required to separate the two substances that have adhesion. Adhesion contact phenomenon plays a very important role and influence in various fields. At present, we are exploring the repair work of the aging surface of silicone rubber insulating materials. It is necessary to select appropriate repair materials coated on the surface of aging materials, so that degradation of performance caused by surface aging can be recovered. In order to study the adhesion behavior and force on the interface of interaction between materials, it is necessary to establish an appropriate theoretical model for the adhesion interface between materials. Based on the corresponding contact theory, the stability and durability of the interface between heterogeneous materials can be predicted and calculated by mathematical analysis. The method of applying mathematical models to analysis can not only theoretically calculate the value of material adhesion force and provide reference for experimental design, but also guide the selection of materials in the actual experiment according to the value range of material parameters in the mathematical model. At present, there are many kinds of mathematical models in the literature, and applicable theories of adhesion phenomena under different forces are not the same. In this paper, the common adhesion phenomena were divided into elastomer contact, rough surface adhesion, substrate surface stripping and other categories according to their different forms of force, and the theoretical models and applications used to analyze the above contact behaviors were summarized respectively. Then the basic principle and application development of modern simulation model based on computer simulation technology were described comprehensively. A general model for adhesion analysis between general objects was introduced. The purpose was to provide guidance and reference for research and modeling in the field of bonding contact. Firstly, the classical contact theories commonly used in elastomer contact were introduced, including Hertz contact, JKR model and DMT model. The differences between JKR model and DMT model were discussed according to Tabor number. This theory was the basis of modern contact mechanics and still had an important influence on contact science. Secondly, the numerical methods and theoretical models commonly used in the adhesion analysis of rough surfaces were briefly summarized, with emphasis on the improvement and extension of the GW model proposed by Greenwood and Williamson. Then the Kendall stripping model used in the process of substrate surface stripping was described comprehensively. As a basic theory in material stripping, this theoretical model played a guiding role in the subsequent research on the stripping process of various materials. Finally, molecular dynamics model (MD model) and finite element model (FEM) based on computer simulation technology were discussed. The popularization and application of these two computer simulation technologies played a great role in promoting the development of mathematical modeling. There are many kinds of existing adhesive contact mathematical modeling methods, such as micromechanical analysis, micro-statistics analysis, macro-energy conservation, finite element analysis and bond energy analysis at atomic scale, etc., but so far, there are differences between any of the modeling methods and the actual situation, one of the reasons is that the assumptions used by all kinds of modeling methods do not exist in the actual situation. In order to reduce this difference, a modeling method combining macroscopic and microscopic scales is a very important development direction of adhesive contact model, such as the combination of intermolecular forces and finite element method, and the combination of microscopic mechanical analysis and macroscopic energy transition. And another important development direction is the construction of general model. Among the many kinds of adhesion models in the current literature, a considerable number of them are highly targeted, that is, they are only applicable to special problems with specific geometric characteristics, which causes great difficulties for their promotion and application. With the progress of computer simulation technology, it is believed that the mathematical analysis method based on theoretical model will greatly promote the research progress in the field of adhesive contact.
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