FRACTALS, ENGINEERING SURFACES AND TRIBOLOGY

被引：68

作者：

LING, FF

机构：

[1] Department of Mechanical Engineering, Columbia University in the City of New York, New York

来源：

WEAR | 1990年 / 136卷 / 01期

关键词：

D O I：

10.1016/0043-1648(90)90077-N

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Fractal geometry, which is based on modern mathematics and which admits fractional dimensions, is introduced in this paper. Examples of fractional dimensions are 2.2618 and 2.4950; these are, of course, inadmissible in Euclidean geometry. Engineering surfaces, viewed from a wide spectrum of scales which range from micro to macro extents, are then discussed as a vital part of tribology. Based on results of recent research including experimental findings, it is concluded that fractal geometry forms an attractive adjunct to Euclidean geometry in the modeling of engineering surfaces. In other terms, a judicious use of a dual-scale description of surfaces would be most powerful in attacking problems in such areas of tribology as boundary lubrication. © 1990.

引用

页码：141 / 156

页数：16

共 31 条

[11]

FARIN D, 1985, J AM CHEM SOC, V107, P5319, DOI 10.1021/ja00304a603

[12] APPLICATIONS AND LIMITATIONS OF BOUNDARY-LINE FRACTAL ANALYSIS OF IRREGULAR SURFACES - PROTEINS, AGGREGATES, AND POROUS MATERIALS [J].