Technical Brief

Analysis of Spherical Contact Models for Differential Hardness as a Function of Poisson's Ratio

[+] 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, Brazil
e-mail: giuseppepintaude@gmail.com

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received December 1, 2014; final manuscript received May 28, 2015; published online July 7, 2015. Assoc. Editor: Robert L. Jackson.

J. Tribol 137(4), 044502 (Oct 01, 2015) (3 pages) Paper No: TRIB-14-1293; doi: 10.1115/1.4030770 History: Received December 01, 2014; Revised May 28, 2015; Online July 07, 2015

A differential hardness is needed for a spherical indenter to avoid large deformations of it during an indentation process. Tabor proposes a criterion for this, where the ball hardness should be at least 2.5 times harder than the specimen. Later, five models expand the Tabor proposal, such that the critical interference corresponding to the inception of plastic deformation depends on the Poisson's ratio. This paper discusses the difference among these models, showing that they can be divided in two groups only. In addition, their similarity depending on the specific mechanical properties of tested material was used to make the conversion between yield stress and hardness.

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Grahic Jump Location
Fig. 1

Variation of mean pressure over hardness at yield inception as a function of Poisson's ratio following CEB [6] and Lin and Lin [7] models

Grahic Jump Location
Fig. 2

Variation of mean pressure over hardness at yield inception as a function of Poisson's ratio following JG [8], Green [9], and BKE [10] models

Grahic Jump Location
Fig. 3

Difference (%) between CBE [6] and BKE [10] models with respect to the pm/H values as a function of Poisson's ratio for different values of E/Y ratio, using Eq. (7) to calculate the constraint factor



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