考虑应变硬化的混合弹塑性接触模型_王庆朋.pdfVIP

第 50 卷 第 2 期 西 安 交 通 大 学 学 报 Vol.50 No.2 2016 年 2 月 JOURNAL OF XI’AN JIAOTONG UNIVERSITY Feb. 2016 DOI: 考虑应变硬化的混合弹塑性接触模型 王庆朋，张 力，尚会超，唐志刚 （重庆大学汽车工程学院，400044 ，重庆） 摘要：为了更加真实地反映实际的接触情况，根据表面微凸体变化的连续性、单调性和光滑性原理提出 了一种新的混合弹塑性接触模型。该模型在球体初始接触时，就考虑更小微凸体的塑性变形和较大变形 量时的应变硬化。通过反正切函数构建一组函数，用来表征接触过程中变形状态的变化，利用 Meyer 硬 度指数反映应变硬化的影响，进而导出接触面积和接触载荷的数学表达式。通过采用文献中已有的铜、 铝合金和纯镍材料的实验数据，以及文献中不同的弹塑性接触模型进行对比分析，结果表明，该模型能 够很好地和实验数据吻合，尤其是在大变形量、出现应变硬化的情况下，更能体现出该模型的优势。 关键词：微凸体；混合弹塑性；接触模型；应变硬化 中图分类号：O343.3 文献标志码：A 文章编号：0253-987X(2016)02-0000-00 Mixed Elastic-Plastic Contact Model Considering Strain Hardening WANG Qingpeng, ZHANG Li, SHANG Huichao, TANG Zhigang (College of Automotive Engineering, Chongqing University, Chongqing 400044, China) Abstract: A new mixed elastic-plastic model for the real contact is developed to consider both plastic response of smaller asperity and strain hardening effects. Based on the assumption that the contact behavior must be continuous, monotonic and smoothed, arc-tangent function is used to determine different contact status, and Meyer hardness exponent for strain hardening effect. Subsequently, the math model of the contact area and contact load can be derived. The proposed model is validated through experimental results for copper, aluminum alloy and nickel reported in the literature, and compared with other contact models found in the literature. The present model shows good agreement with the measurements, and a big advantage especially when strain hardening occurs. Keywords: asperity; mixed elastic-plastic; contact model; strain hardening 粗糙表面对于机械零部件之间结合面的特征 使ZMC