Self-Similarity in Abrasiveness of Hard Carbon-Containing Coatings

[+] Author and Article Information
Feodor M. Borodich, Leon M. Keer

Technological Institute, Northwestern University, Evanston, IL 60208-3109

Stephen J. Harris

Physical and Environmental Sciences Dept., MD #3083, Ford Research Laboratory, Dearborn, MI 48121-2053

J. Tribol 125(1), 1-7 (Dec 31, 2002) (7 pages) doi:10.1115/1.1509773 History: Received February 26, 2002; Revised July 01, 2002; Online December 31, 2002
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.


Stott, W. R., 1999, “Myths and Miracles of Gear Coatings,” Gear Technology, July/August, pp. 35–44.
Erdemir,  A., 1992, “Rolling-Contact Fatigue and Wear-Resistance of Hard Coatings on Bearing-Steel Substrates,” Surf. Coat. Technol., 55, pp. 482–489.
Krantz,  T. L., Alanou,  M. P., Evans,  H. P., and Snidle,  R. W., 2001, “Surface Fatigue Lives of Case-Carburized Gears With an Improved Surface Finish,” ASME J. Tribol., 123, pp. 709–716.
Archard,  J. F., 1953, “Contact and Rubbing of Flat Surfaces,” J. Appl. Phys., 24, pp. 981–988.
Goryacheva, I. G., 1998, Contact Mechanics in Tribology, Kluwer Academic Publishers, Dordrecht.
Samuels, L. E., Doyle, E. D., and Turley, D. M., 1981, “Sliding Wear Mechanisms,” Fundamentals of Friction and Wear of Materials, D. A. Rigney ed., American Society for Metals, Metals Park, pp. 13–41.
Harris,  S. J., and Weiner,  A. M., 1998, “Scaling Relationships for the Abrasion of Steel by Diamondlike Carbon Coatings,” Wear, 223, pp. 31–36.
Harris,  S. J., and Weiner,  A. M., 1997, “A Simple Method for Monitoring the Hardness of Thin Amorphous Carbon-Containing Coatings,” Wear, 213, pp. 200–203.
Harris,  S. J., Weiner,  A. M., Olk,  C. H., and Grischke,  M., 1998, “Effects of Nanoscale Morphology on the Abrasion of Steel by Diamondlike Carbon,” Wear, 219, pp. 98–104.
Harris,  S. J., Krauss,  G. G., Simko,  S. J., Baird,  R. J., Gebremariam,  S. A., and Doll,  G., 2002, “Abrasion and Chemical-Mechanical Polishing between Steel and a Sputtered Boron Carbide Coating,” Wear, 252, pp. 161–169.
Mulhearn,  T. O., and Samuels,  L. E., 1962, “The Abrasion of Metals: a Model of the Process,” Wear, 5, pp. 478–498.
Duran, B. S., and Odell, P. L., 1974, Cluster Analysis. A Survey, Springer-Verlag, Berlin.
Barenblatt, G. I., 1996, Scaling, Self-Similarity, and Intermediate Asymptotics, Cambridge University Press, Cambridge.
Barenblatt,  G. I., and Zeldovich,  Ya. B., 1972, “Self-Similar Solutions as Intermediate Asymptotics,” Annu. Rev. Fluid Mech., 4, pp. 285–312.
Kolmogorov,  A. N., 1941, “The Local Structure of Turbulence in Incompressible Fluids at Very High Reynolds Numbers,” Doklady Ac. Sc. USSR, 30, pp. 299–303.
Borodich,  F. M., and Onishchenko,  D. A., 1999, “Similarity and Fractality in the Modelling of Roughness by a Multilevel Profile with Hierarchical Structure,” Int. J. Solids Struct., 36, pp. 2585–2612.
Borodich,  F. M., 1987, “Deformation Properties of Multilayer Metallic Stacks,” Mech. Solids, 22, pp. 103–110.
Gangopadhyay,  A. K., and Tamor,  M. A., 1993, “Friction and Wear Behavior of Diamond Films against Steel and Ceramics,” Wear, 169, pp. 221–229.
Harris,  S. J., Weiner,  A. M., and Meng,  W.-J., 1997, “Tribology of Metal-Containing Diamond-Like Carbon Coatings,” Wear, 211, pp. 208–217.
Harris,  S. J., and Krauss,  G. G., 2001, “Improved Technique for Measuring the Ball Volume Removed in a Ball-on-Disk Test,” Tribol. Lett., 10, pp. 187–188.
Harris,  S. J., Krauss,  G. G., Simko,  S. J., Potter,  T. J., Carpick,  R. W., Welbes,  B., and Grischke,  M., 2002, “Abrasion of Steel by Ceramic Coatings: Comparison of RF-DLC to Sputtered B4C,” Tribol. Lett., 12, pp. 43–50.
Gogotsi,  Yu. G., Koval’chenko,  A. M., and Kossko,  I. A., 1992, “Tribochemical Interactions of Boron Carbides against Steel,” Wear, 154, pp. 133–140.
Majumdar,  A., and Bhushan,  B., 1990, “Role of Fractal Geometry in Roughness Characterization and Contact Mechanics of Surfaces,” ASME J. Tribol., 112, pp. 205–216.
Zhuravlev,  V. A., 1940, “On Question of Theoretical Justification of the Amontons-Coulomb Law for Friction of Unlubricated Surfaces,” Zh. Tekh. Fiz., 10, pp. 1447–1452 (in Russian).
Greenwood,  J. A., and Williamson,  J. B. P., 1966, “Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, Ser. A, 295, pp. 300–319.
Borodich, F. M., 1988, “Use of the Theory of Similarity in the Nonlinear Problem of Contact Between an Indenter and Anisotropic Metallic Foundations,” Abst. Rep. All-Union Conference “Metal”-Programme’s Fulfillers, Krasnoyarskii Polytechnical Institute Press, Abakan, pp. 195–196 (in Russian).
Borodich,  F. M., 1989, “Hertz Contact Problems for an Anisotropic Physically Nonlinear Elastic Medium,” Strength Mater., 25, pp. 1668–1676.
Borodich,  F. M., 1993, “The Hertz Frictional Contact between Nonlinear Elastic Anisotropic Bodies (the Similarity Approach),” Int. J. Solids Struct., 30, pp. 1513–1526.
Galanov,  B. A., and Grigor’ev,  O. N., 1984, “Deformation and Fracture of Superhard Materials in Concentrated Loading,” Strength Mater., 21, pp. 1330–1337.
Niemann, H., 1990, Pattern Analysis and Understanding, Springer-Verlag, Berlin.
Suk,  M., 1996, “The Effect of Disk Roughness on the Wear of Contact Recording Heads,” ASME J. Tribol., 118, pp. 794–799.
Harris,  S. J., Weiner,  A. M., and Grischke,  M., 1999, “Effects of Load on the Abrasion of Steel by Metal-Containing Diamond-Like Carbon,” Surf. Coat. Technol., 121, pp. 561–564.


Grahic Jump Location
The time history of the surface roughness Ra of a 52100 steel ball after sliding against a sputtered boron carbide coating
Grahic Jump Location
SEM images of the surface of a sputtered boron carbide coating under different magnifications (a) unworn surface; (b) the surface after 500 cycles. AFM images of a metal-containing amorphous hydrogenated DLC coating: (c) unworn surface; (d) the surface after 10 cycles; (e) the same surface after 1000 cycles.
Grahic Jump Location
The variation of the abrasion rate for boron carbide coatings with the number of cycles for loads of 1 (triangles), 5 (diamonds), and 11 (circles) Newtons, respectively
Grahic Jump Location
Log wear rate for Me:DLC vs. Log number of cycles at 500 g load (after 32)




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In