On the Fractal Dimension of Rough Surfaces

被引：242
|
作者：
Persson, B. N. J. [1 ]
机构：
[1] Forschungszentrum Julich, PGI 1, D-52425 Julich, Germany
来源：
TRIBOLOGY LETTERS | 2014年 / 54卷 / 01期
关键词：
Self-affine fractal; Surface fragility; Fractal dimension; Power spectra; CONTACT MECHANICS; RUBBER-FRICTION; FILM SURFACES; DIFFUSION; ADHESION;
D O I：
10.1007/s11249-014-0313-4
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
Most natural surfaces and surfaces of engineering interest, e.g., polished or sandblasted surfaces, are self-affine fractal over a wide range of length scales, with the fractal dimension . We give several examples illustrating this and a simple argument, based on surface fragility, for why the fractal dimension usually is < 2.3. A kinetic model of sandblasting is presented, which gives surface topographies and surface roughness power spectra in good agreement with experiments.
引用
收藏
页码：99 / 106
页数：8
相关论文
共 50 条
  • [21] Inversion problem for the dimension of fractal rough surface
    ZHAO Donghua1
    2. Department of Mathematics
    [J]. Science China(Information Sciences), 2005, (05) : 647 - 655
  • [22] Inversion problem for the dimension of fractal rough surface
    Zhao, DH
    Cai, ZJ
    Ruan, J
    [J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2005, 48 (05): : 647 - 655
  • [23] Fractal Model for Wettability of Rough Surfaces
    Jain, R.
    Pitchumani, R.
    [J]. LANGMUIR, 2017, 33 (28) : 7181 - 7190
  • [24] Study on Reconstruction of Fractal Rough Surfaces
    Zhang, Nan
    Wang, Lihua
    He, Yusong
    Lu, Zi
    [J]. ADVANCES IN MECHATRONICS AND CONTROL ENGINEERING, PTS 1-3, 2013, 278-280 : 527 - 530
  • [25] Statistical Study of the Bias and Precision for Six Estimation Methods for the Fractal Dimension of Randomly Rough Surfaces
    Alarcon, Jorge Luis Flores
    Figueroa, Carlos Gabriel
    Jacobo, Victor Hugo
    Villegas, Fernando Velazquez
    Schouwenaars, Rafael
    [J]. FRACTAL AND FRACTIONAL, 2024, 8 (03)
  • [26] A class of rough surfaces and their fractal dimensions
    Wang, HY
    Xu, ZB
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 259 (02) : 537 - 553
  • [27] Contact between Fractal Rough Surfaces
    Feng, Lanlan
    Wang, Jiugen
    Jin, Shousong
    Wang, Zhenrong
    [J]. 4TH INTERNATIONAL CONFERENCE ON MECHANICAL AUTOMATION AND MATERIALS ENGINEERING (ICMAME 2015), 2015, : 63 - 71
  • [28] FRACTAL CHARACTERIZATION AND SIMULATION OF ROUGH SURFACES
    MAJUMDAR, A
    TIEN, CL
    [J]. WEAR, 1990, 136 (02) : 313 - 327
  • [29] THE PERTURBATION DIMENSION FOR DESCRIBING ROUGH SURFACES
    WEHBI, D
    ROQUESCARMES, C
    TRICOT, C
    [J]. INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE, 1992, 32 (1-2): : 211 - 216
  • [30] Fractal dimension of zeolite surfaces by calculation
    Tatlier, M
    Erdem-Senatalar, A
    [J]. CHAOS SOLITONS & FRACTALS, 2001, 12 (06) : 1145 - 1155
12345