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单峰接触研究及其在分形表面接触中的应用
引用本文:赵波,戴旭东,张执南,谢友柏,张勇.单峰接触研究及其在分形表面接触中的应用[J].摩擦学学报,2014,34(2):217-224.
作者姓名:赵波  戴旭东  张执南  谢友柏  张勇
作者单位:上海交通大学 机械与动力工程学院, 上海 200240;上海交通大学 机械与动力工程学院, 上海 200240;上海交通大学 机械与动力工程学院, 上海 200240;上海交通大学 机械与动力工程学院, 上海 200240;中交上海航道装备工业有限公司备件公司, 上海 200240
基金项目:国家自然基金项目(51175332,51205247,50935004)和机械系统与振动国家重点实验室项目(MSVZD201104)资助.
摘    要:基于有限元方法,建立了弹塑性单峰的接触模型.粗糙峰为理想的弹塑性材料,为了考虑不同的材料特性对微凸体变形的影响,分别对9种不同的材料进行了分析.根据有限元计算结果,分析了接触面积,平均接触压力和接触力与变形干涉量之间的关系,并进行了经验公式的拟合.单峰接触所经历的4个不同的阶段,以及不同阶段之间的转化点均作了明确的表达.然后,根据分形理论,将单峰接触模型扩展到了三维的粗糙表面的接触,并提出了一个计算接触表面法向刚度的模型.通过与实验数据和以往模型的结果对比,证明本文中所提出的模型具有较高的精度.

关 键 词:弹塑性接触  分形理论  有限元法  法向刚度  单粗糙峰

Single Asperity Contact and Its Use for Fractal Surface Contact
ZHAO Bo,DAI Xu-dong,ZHANG Zhi-nan,XIE You-bai and ZHANG Yong.Single Asperity Contact and Its Use for Fractal Surface Contact[J].Tribology,2014,34(2):217-224.
Authors:ZHAO Bo  DAI Xu-dong  ZHANG Zhi-nan  XIE You-bai and ZHANG Yong
Institution:School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200240, China;School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200240, China;School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200240, China;School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200240, China;Shanghai Dreding and Equipment Industry Co, LTD, Shanghai 200240, China
Abstract:This work first presents an elastic-plastic contact model of single hemisphere asperity with a rigid smooth flat based on the finite element method. The material of the deformable asperity was modeled as elastic-perfectly plastic, 9 kinds of materials were covered in this work to account for effects of material properties on the asperity deformation. Based on the results of finite element analysis, new empirical formulations with the consideration of material properties were proposed to predict the dependence of contact area, contact pressure and contact load on contact interference. Four regimes of asperity deformation as well as the transition points between them were also clearly reported. Then, the contact model of single hemisphere asperity was extended to three-dimensional rough surfaces to develop the elastic-plastic contact model of contacting surfaces using fractal theory. A new general contact stiffness model was also proposed to study the normal stiffness between rough surfaces. Numerical results of the presented models were validated by experimental data and those of other existing models. The effects of fractal dimension, roughness parameter and yield strength on contact behaviors of contacting surfaces were also be investigated.
Keywords:fractal theory  normal contact stiffness  elastic-plastic  finite element method  single hemisphere asperity
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