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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 method of linear contact elastic field considering material inhomogeneity is proposed. The method is based on the numerical equivalent inclusion method (NEIM), taking the rectangular heterogeneous material as the basic unit, and on the basis of which, the elastic field of the material under the linear contact load can be solved by using the image method. By comparing the results of this method with those obtained by finite element method (FEM) and traditional equivalent inclusion method (EIM) by means of comparative verification, parametric analysis and example verification, the distribution parameters of heterogeneous materials Effect of material line contact properties. The results show that the method proposed in this paper is superior to FEM and traditional EIM in that it can handle and simplify the coating problem and the line contact problem of randomly distributed heterogeneous materials. Different locations of heterogeneous materials will cause the maximum von Mises stress to increase or decrease; the size of the heterogeneous material and the material difference between the heterogeneous material and the matrix will affect the stress concentration of the matrix.