中文摘要：

基于等效夹杂方法,引入一种数值建模方法用于求解Hertz接触载荷作用下复合材料次表面应力场。通过与有限元方法的对比验证本方法的有效性和优越性;讨论不同形状增强体深度、材料、尺寸、体积分数、相对位置等分布参数对基体应力场的影响。分析结果表明,双增强体接触模型中,次表面最大von Mises应力随增强体深度和半径的增大呈先增大后减小趋势,随增强体与基体之间材料差异的增大而单调递增;增强体体积分数及相对位置将对基体应力分布产生较大影响。通过钛基复合材料滚动接触疲劳实验验证了本文方法处理复合材料接触性能的能力。

英文摘要：

A new modeling method was introduced to solve the subsurface stress field of composites under Hertzian contact loads based on the equivalent inclusion method.The comparisons between the computation results solved by the present method and the finite element method demonstrated the effectiveness and advantage of the new method.The parametric study was carried out to investigate the influences of depth,shape,material property,volume fraction and relative location of reinforcements with different shapes on the stress field of the matrix.The analysis results reveal that the maximum von Mises stress is altered due to the changes in the depth,radius and material properties of the reinforcements for the double-reinforcement model,and the volume fraction and relative position of distributed reinforcements have significant influences on the stress field of the matrix.The rolling contact fatigue（RCF）life experiments of titanium-based composites were conducted,the corresponding results verify the capability of the proposed method on solving the contact performance of composites.