M⁃B模型弹塑性临界点确定方法  

METHOD FOR DETERMINING THE CRITICAL POINT OF ELASTIC⁃PLASTIC OF M⁃B MODEL

作　　者：曹宏军 朱敏 王盛凹 邓李重阳 马德胜 CAO HongJun;ZHU Min;WANG ShengAo;DENG LiChongYang;MA DeSheng(College of Nuclear Science and Technology,Naval University of Engineering,Wuhan 430033,China;Unit 91515,Sanya 572000,China)

机构地区：[1]海军工程大学核科学技术学院,武汉430033 [2]91515部队,三亚572000

出　　处：《机械强度》2024年第4期946-951,共6页Journal of Mechanical Strength

基　　金：装备预先研究项目(41426030107)资助。

摘　　要：弹塑性临界点的确定对粗糙表面接触问题的研究至关重要。为了解决现有的M⁃B模型弹塑性临界点确定方法中,表征值不可测且难以应用的缺点,基于分形理论基本模型,运用数理统计得出了微凸体截断面积分布函数及概率分布密度。结合赫兹接触的理想弹、塑性接触模型得出了具有分形特征的平面⁃平面接触过程中的法向力模型。基于塑性变形时的实际接触面积与截断面积的区别,提出了修正因子,最后得出以临界法向力为表征量的弹塑性临界点确定方法。新方法以法向力为表征量且需通过校准试验得出,更具操作性与可信度。The determination of the elasto⁃plastic critical point is very important for the study of the rough surface contact problem.In order to solve the shortcomings of the existing M⁃B model elasto⁃plastic critical point determination method,the characterization value is unmeasurable and difficult to apply.Based on the basic model of fractal theory,the distribution function and probability distribution density of asperity truncated area were obtained by means of mathematical statistics.Combined with the ideal elastic and plastic contact models of Hertzian contact,the normal force model in the process of plane⁃plane contact with fractal characteristics was obtained.Based on the difference between the actual contact area and the cut⁃off area during plastic deformation,a correction factor was proposed,and a method for determining the elasto⁃plastic critical point with the critical normal force as the characterization quantity was finally obtained.The new method takes the normal force as the characterization quantity and needs to be obtained through calibration experiments,which is more operational and credible.

关 键 词：M⁃B 模型 分形理论 弹塑性临界点 截断面积 法向力 

分 类 号：O369[理学—流体力学]