考虑异质材料的线接触性能建模与分析
Modeling and analysis on line contact performance of considering heterogeneous properties of material

提出了一种考虑材料非均匀特性的线接触弹性场数值建模方法。该方法基于数值化等效夹杂方法（NEIM），以矩形异质材料作为基本单元，并在此基础上，结合镜像法，可求解得到线接触载荷作用下的材料弹性场。利用对比验证、参数化分析及算例验证的方法，将本文方法计算结果与有限元法（FEM）和传统等效夹杂方法（EIM）计算结果进行对比，并分析研究了异质材料分布参数对材料线接触性能的影响。结果表明：本文方法相较FEM和传统EIM具有优越性，可处理和简化涂层问题及任意分布的异质材料线接触问题。不同位置异质材料将引起基体最大von Mises应力的增大或减小；异质材料的尺寸以及异质材料和基体之间的材料差异将影响基体应力集中程度。 A numerical modeling approach of the elastic field under line contacts was proposed with taking the heterogeneous properties of the materials into consideration. The method was on the basis of the numerical equivalent inclusion method (NEIM), utilizing the rectangular heterogeneous material as the basic element. Integrated with the method of images, the elastic field of the materials under line contacts could be solved. Taking advantage of the methods of comparison validation, parametric analysis and examples of verification, the result yielded by the new method was compared with the result produced by the finite element method (FEM) and conventional equivalent inclusion method (EIM), and investigated the effects of heterogeneous material distribution parameters on the contact performance of material under line contacts. The results show that the new method is more advantageous than the FEM and the conventional EIM, and able to handle and simplify the coating problem and the line contact of randomly distributed heterogeneous material. Different locations of heterogeneous material may make the maximum von Mises stress of the matrix become bigger or smaller. The size of heterogeneous material and the difference between the heterogeneous material and the matrix may influence the stress concentration level of the matrix. 国家自然科学基金（51405316，51435001）；中央高校基本科研业务费专项资金（2014SCU11062）；中航工业产学研专项（cxy2013CD36）