Technical Briefs

An Overview of the Hardness Differential Required for Abrasion

[+] Author and Article Information
Giuseppe Pintaude

Department of Mechanics (DAMEC), Federal University of Technology—Paraná (UTFPR), Avenida Sete de Setembro, 3165, Curitiba, Paraná 80230-901, Brazilgiuseppepintaude@gmail.com

J. Tribol 132(3), 034502 (Jun 24, 2010) (4 pages) doi:10.1115/1.4001896 History: Received January 07, 2010; Revised May 24, 2010; Published June 24, 2010; Online June 24, 2010

This paper presents an overview of the hardness differential required for abrasion. Empirically, the abrasive must be at least 1.2 times harder than the worn surface if it is to produce a scratch. This value has been determined theoretically using slip-line field modeling, which assumes rigid-plastic mechanical behavior, an assumption that is inadequate for most abrasive particles. Two approaches using elastic-plastic models and three tribological pairs with similar ratios of abrasive hardness to worn material hardness were tested to gain an understanding of the hardness differential required for abrasion. The analysis showed that the ratios of the property of the abrasive to the property of the worn surface did not change with the model used when the mechanical behavior of the materials was similar. However, when the behavior of the materials was very dissimilar—as is often the case in abrasive processes—the ratios varied greatly depending on the model used, showing that there is a need for models to describe the hardness differential required for abrasion.

Copyright © 2010 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Vickers hardness ratios for Mohs mineral pairs as measured by Broz (12)

Grahic Jump Location
Figure 2

Variation in the ratios H¯A/H¯ (true hardness) and YA/Y (model proposed by Ye and Komvopoulos (30)) as a function of the difference in the plasticity parameter (%) of the wearing body



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