60 years of Rabinowicz’ criterion for adhesive wear

Elena POPOVA; Valentin L. POPOV; Dae-Eun KIM

doi:10.1007/s40544-018-0240-8

Friction 2018, 6(3): 341-348 https://doi.org/10.1007/s40544-018-0240-8

Short Communication |

Open Access | Issue | Published: 20 August 2018

60 years of Rabinowicz’ criterion for adhesive wear

Show Author's Information Hide Author's Information Elena POPOVA^¹(

), Valentin L. POPOV^¹(

), Dae-Eun KIM^{²^,³}

¹ Institute of Mechanics, Technische Universität Berlin, Berlin 10623, Germany

² School of Mechanical Engineering, Yonsei University, Seoul 03722, Republic of Korea

³ Center for Nano-Wear, Yonsei University, Seoul 03722, Republic of Korea

Keywords:

wear, adhesion, plasticity, Archard’s law of wear, Rabinowicz criterion, surface topography, history of Tribology

Cite this article:

POPOVA E, POPOV VL, KIM D-E. 60 years of Rabinowicz’ criterion for adhesive wear. Friction, 2018, 6(3): 341-348. https://doi.org/10.1007/s40544-018-0240-8

Download citation

EndNote(RIS)

BibTeX

699

Views

Downloads

Citations

Crossref

N/A

WoS

Scopus

CSCD

Abstract Full text About this article

Abstract

60 years ago, in 1958, Ernest Rabinowicz published a 5 page paper titled “The effect of size on the looseness of wear fragments” where he suggested a criterion determining the minimum size of wear particles. The criterion of Rabinowicz is based on the consideration of the interplay of elastic energy stored in “asperities” and the work of separation needed for detaching a wear particle. He was probably the first researcher who explicitly emphasized the role of adhesion in friction and wear. In a recent paper in Nature Communications, Aghababaei, Warner and Molinari confirmed the criterion of Rabinowicz by means of quasi-molecular dynamics and illustrated the exact mechanism of the transition from plastic smoothing to formation of wear debris. This latter paper promoted the criterion of Rabinowicz to a new paradigm for current studies of adhesive wear. The size arguments of Rabinowicz can be applied in the same form also to many other problems, such as brittle-ductile transition during indentation, cutting of materials or ultimate strength of nano-composites.

Full text

Abstract

Full text

Outline

About this article

60 years of Rabinowicz’ criterion for adhesive wear

Show Author's information Hide Author's Information Elena POPOVA^¹(

), Valentin L. POPOV^¹(

), Dae-Eun KIM^{²^,³}

¹ Institute of Mechanics, Technische Universität Berlin, Berlin 10623, Germany

² School of Mechanical Engineering, Yonsei University, Seoul 03722, Republic of Korea

³ Center for Nano-Wear, Yonsei University, Seoul 03722, Republic of Korea

Abstract

Keywords: wear, adhesion, plasticity, Archard’s law of wear, Rabinowicz criterion, surface topography, history of Tribology

References(31)

[1]

Rabinowicz E. Friction and Wear of Materials. Second Edition. John Wiley & Sons, inc., 1995 (First Edition 1965).

[2]

Jost H P ed. Lubrication (tribology)─A report on the present position and industry’s needs. Department of Education and Science, H. M. Stationary Office, London, UK, 1966.

[3]

Popov V L. Golden age of tribology? Grand challenges in tribological education and research. Frontiers in Mechanical Engineering, Section Tribology, 2018.

Google Scholar

[4]

Rabinowicz E. Influence of surface energy on friction and wear phenomena. Journal of Applied Physics 32(8):1440–1444(1961)

DOI Google Scholar

[5]

Rabinowicz E, Tabor D. Metallic transfer between sliding metals: An autoradiographic study. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 208(1095):455–475(1951)

DOI Google Scholar

[6]

Rabinowicz E. Friction coefficients of noble metals over a range of loads. Wear 159(1):89–94,(1992)

DOI Google Scholar

[7]

Rabinowicz E. The effect of size on the looseness of wear fragments. Wear 2:4–8(1958)

DOI Google Scholar

[8]

Griffith A A. The Phenomena of Rupture and Flow in Solids. Philosophical Transactions of the Royal Society of London A 221:163–198(1921)

DOI Google Scholar

[9]

Johnson K L, Kendall K, Roberts A D. Surface energy and the contact of elastic solids. Proc. R. Soc. London A 324:301–313(1971)

DOI Google Scholar

[10]

Photo provided by Judith Raymond née Rabinowicz from family archiv.

[11]

Aghababaei R, Warner D H, Molinari J-F. Critical length scale controls adhesive wear mechanisms. Nature Communications 7:11816(2016)

DOI Google Scholar

[12]

Rabinowicz E. The Nature of the Static and Kinetic Coefficients of Friction. Journal of Applied Physics 22(11):1373–1379(1951)

DOI Google Scholar

[13]

Rabinowicz E. Variation of Friction and Wear of Solid Lubricant Films with Film Thickness. ASLE Transactions 10(1):1–9(1967)

DOI Google Scholar

[14]

Popov V L. Adhesive wear: Generalized Rabinowicz' criteria. Facta Universitatis, Series: Mechanical Engineering 16(1):29–39(2018)

DOI Google Scholar

[15]

Cocks M. Interaction of Sliding Metal Surfaces. Journal of Applied Physics 33(7):2152–2161(1962)

DOI Google Scholar

[16]

Rabinowicz E. The least wear. Wear 100:533–541(1984).

DOI Google Scholar

[17]

Keer L M., Xu Y., Cheng H S., and Xuan, J L. Simulation of Wear Particle Creation in Asperity Contacts Using the Finite Element Method. Tribology Transactions 36(4):613–620(1993)

DOI Google Scholar

[18]

Yin X., Komvopoulos K. A slip-line plasticity analysis of abrasive wear of a smooth and soft surface sliding against a rough (fractal) and hard surface. International Journal of Solids and Structures 49(1): 121–131 (2012)

DOI Google Scholar

[19]

Gao H, Ji B, Jager I L, Arzt E, Fratzl P. Materials become insensitive to flaws at nanoscale: Lessons from nature. Proceedings of the National Academy of Sciences 100(10):5597–5600(2003)

DOI Google Scholar

[20]

Kendall K. The impossibility of comminuting small particles by compression. Nature 272(5655):710–711(1978)

DOI Google Scholar

[21]

Shaw M C. Plastic flow in the cutting and grinding of materials. Proceedings of the National Academy of Sciences 40(6):394–401(1954)

DOI Google Scholar

[22]

McClintock F A, Argon A S. Mechanical Behaviour of Materials. Reading USA: Addison Wesley, 1966, 495 p.

[23]

Popov V L. Generalized Rabinowicz’ criterion for adhesive wear for elliptic micro contacts. AIP Conference Proceedings 1909:020178(2017)

DOI Google Scholar

[24]

Archard J F. Contact and rubbing of flat surfaces. Journal of Applied Physics 24:981–988(1953)

DOI Google Scholar

[25]

Archard J F, Hirst W. The wear of metals under unlubricated conditions. Proc R Soc London A 236:397–410(1956)

DOI Google Scholar

[26]

Rhee S K. Wear equation for polymers sliding against metal surfaces. Wear 16(6):431–45(1970)

DOI Google Scholar

[27]

Meng H C, Ludema K C. Wear models and predictive equations: their form and content. Wear 181:443–457(1995)

DOI Google Scholar

[28]

Popov V L, Pohrt R. Adhesive wear and particle emission: Numerical approach based on asperity-free formulation of Rabinowicz criterion. Friction in press, .

DOI Google Scholar

[29]

Kar M K, Bahadur S. The wear equation for unfilled and filled polyoxymethylene. Wear 30(3):337–348(1974)

DOI Google Scholar

[30]

Suh N P, Sin H-S. The Genesis of Friction. Wear 69:91–114(1981)

DOI Google Scholar

[31]

Suh N P. Tribophysics. Prentice-Hall, 1986.

DOI

About this article

Publication history

Acknowledgements

Rights and permissions

Publication history

Received: 21 June 2018

Revised: 04 August 2018

Accepted: 06 August 2018

Published: 20 August 2018

Issue date: September 2018

Copyright

Acknowledgements

The authors thank Judith Raymond née Rabinowicz for providing a photo of Ernest Rabinowicz working in his lab.

Rights and permissions

This article is published with open access at Springerlink.com

Open Access: The articles published in this journal are distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.