0
TECHNICAL PAPERS

A Generalized Formulation for the Contact Between Elastic Spheres: Applicability to Both Wet and Dry Conditions

[+] Author and Article Information
Jie Zheng

 Maxtor Corporation, Shrewsbury, MA 01545

Jeffrey L. Streator

G. W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405jeffrey.streator@me.gatech.edu

J. Tribol 129(2), 274-282 (Jul 04, 2006) (9 pages) doi:10.1115/1.2540041 History: Received December 30, 2005; Revised July 04, 2006

The interaction between two elastic spheres with an intervening liquid film of given volume is studied theoretically. Using an energy minimization approach, equilibrium contact configurations are determined through numerical computation. Several dimensionless groups are identified that govern the character of the solution. Curve fits are performed to reveal analytical relationships among the dimensionless groups. At extreme values of particular parameters, the curve fits are found to recover the analytical results of the well-known Hertzian and Johnson–Kendall–Roberts elastic (dry contact) models, as well as the force of a liquid bridge between rigid spheres. Qualitative agreement is found between the current model and some published experiments.

FIGURES IN THIS ARTICLE
<>
Copyright © 2007 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 8

The dimensionless pull-off force, Fp′, as a function of χ−2∕3 for Φ=1. The inset shows the variations Fp′ at small χ−2∕3.

Grahic Jump Location
Figure 7

The dimensionless pull-off force, Fp′, as a function of χ−2∕3 for Φ=0. The inset shows the variations Fp′ at small χ−2∕3.

Grahic Jump Location
Figure 6

The critical values of H′ at jump-on and jump-off as a function of χ, for various Φ. The red curve is the jump-on condition.

Grahic Jump Location
Figure 5

Critical values of Γ, at which the surfaces jump apart. The dashed line is the jump-on condition, included as a reference.

Grahic Jump Location
Figure 4

Variation of dimensionless equilibrium contact radius, aeq*, with control variables Γ, Ψ, and Φ for negative separation, H (i.e., positive interference)

Grahic Jump Location
Figure 3

Variation of dimensionless equilibrium contact radius, aeq*, with control variables Γ, Ψ, and Φ for positive separation, H

Grahic Jump Location
Figure 2

Schematic of the deformed interface between two elastic spheres coupled by a liquid bridge of volume V0, with solid–solid contact

Grahic Jump Location
Figure 1

Schematic of the deformed interface between two elastic spheres coupled by a liquid bridge of volume V0, without solid–solid contact

Tables

Errata

Discussions

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