Contact analysis of elastic-plastic fractal surfaces

被引:632
作者
Yan, W [1 ]
Komvopoulos, K [1 ]
机构
[1] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA
关键词
D O I
10.1063/1.368536
中图分类号
O59 [应用物理学];
学科分类号
摘要
Rough surfaces are characterized by fractal geometry using a modified two-variable Weierstrass-Mandelbrot function. The developed algorithm yields three-dimensional fractal surface topographies representative of engineering rough surfaces. This surface model is incorporated into an elastic-plastic contact mechanics analysis of two approaching rough surfaces. Closed form solutions for the elastic and plastic components of the total normal force and real contact area are derived in terms of fractal parameters, material properties, and mean surface separation distance. The effects of surface topography parameters and material properties on the total deformation force are investigated by comparing results from two- and three-dimensional contact analyses and elastic and elastic-perfectly plastic material behaviors. For normal contact of elastic-perfectly plastic silica surfaces and range of surface interference examined, the interfacial force is predominantly elastic and the real contact area is approximately one percent of the apparent contact area or less, depending on the mean interfacial distance. The analysis can be easily modified to account for anisotropic fractal surfaces and different material behaviors. (C) 1998 American Institute of Physics. [S0021-8979(98)05118-4].
引用
收藏
页码:3617 / 3624
页数:8
相关论文
共 21 条
[1]  
ANGUIANO E, 1994, IFIP TRANS A, V41, P37
[2]   A MULTIVARIATE WEIERSTRASS-MANDELBROT FUNCTION [J].
AUSLOOS, M ;
BERMAN, DH .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1985, 400 (1819) :331-350
[3]   ON THE WEIERSTRASS-MANDELBROT FRACTAL FUNCTION [J].
BERRY, MV ;
LEWIS, ZV .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1980, 370 (1743) :459-484
[4]   FRACTAL APPROACH TO TWO-DIMENSIONAL AND 3-DIMENSIONAL SURFACE-ROUGHNESS [J].
GAGNEPAIN, JJ ;
ROQUESCARMES, C .
WEAR, 1986, 109 (1-4) :119-126
[5]   CONTACT OF NOMINALLY FLAT SURFACES [J].
GREENWOOD, JA ;
WILLIAMSON, JB .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1966, 295 (1442) :300-+
[6]   A fractal analysis of stiction in microelectromechanical systems [J].
Komvopoulos, K ;
Yan, W .
JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME, 1997, 119 (03) :391-400
[7]   LOCAL STRESS MEASUREMENT IN THIN THERMAL SIO2 FILMS ON SI-SUBSTRATES [J].
LIN, SCH ;
PUGACZMU.I .
JOURNAL OF APPLIED PHYSICS, 1972, 43 (01) :119-&
[8]  
MAJUMDAR A, 1980, WEAR, V136, P31
[9]  
Mandelbrot B.B., 1983, FRACTAL GEOMETRY NAT
[10]   COMPARISON OF MODELS FOR THE CONTACT OF ROUGH SURFACES [J].
MCCOOL, JI .
WEAR, 1986, 107 (01) :37-60