A complete contact model of a fractal rough surface

A complete contact model of a fractal rough surface
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分形粗糙表面的完整接触模型

DOI:
10.1016/j.wear.2013.10.014
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发表时间:
2014-01
期刊:
影响因子:
5
通讯作者:
Huang, Xiaodiao
Huang, Xiaodiao
中科院分区:
工程技术1区
文献类型:
--
作者:
Miao, Xiaomei;Huang, Xiaodiao

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本研究提出了一种修正的接触模型的分形粗糙表面,通过扩展的修改粗糙接触模型开发的莫拉格和Etsion,到一个完整的接触模型的分形表面。根据修正的微凸体模型,单个微凸体的临界面积与尺度有关,微凸体的塑性-弹性模态转换符合经典接触力学。研究了分形粗糙表面的总载荷、面积和刚度,并通过对所有长度尺度下的接触力、面积和刚度求和得到。结果表明,接触面积与接触载荷呈线性关系,接触刚度随接触载荷的增大而增大。随着接触载荷的增加,塑性接触面积所占的比例逐渐减小。研究了分形粗糙度参数G和分形维数D对接触刚度的影响,结果表明:表面粗糙度越大,对应的分形维数D越小,分形维数G越大,接触刚度越小。
This study suggested a revision to the contact model of a fractal rough surface, by extending the modified asperity contact model developed by Morag and Etsion, into a complete contact model of a fractal surface. According to the modified asperity model, the critical area of a single asperity was scale dependent and that the asperity's plastic to elastic mode transition agreed with classical contact mechanics. The total load, area and stiffness of a fractal rough surface were studied, and obtained by summing over the contact force, area and stiffness of the asperities at all length scales. The results revealed that the contact area depended linearly on the contact load and that the contact stiffness increased with increasing contact load. The share of plastic contact area decreased as the contact load increased. The impact of the fractal roughness parameter G and fractal dimension D on the contact stiffness was also discussed, and the results showed that the rougher the surface became, corresponding to a smaller value of D and a larger value of G, the smaller the contact stiffness was.
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