0
TECHNICAL PAPERS

A Mathematical Model for Frictional Elastic-Plastic Sphere-on-Flat Contacts at Sliding Incipient

[+] Author and Article Information
L. Chang, H. Zhang

Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802

J. Appl. Mech 74(1), 100-106 (Dec 09, 2005) (7 pages) doi:10.1115/1.2178838 History: Received June 27, 2005; Revised December 09, 2005

This paper presents a mathematical model for frictional elastic-plastic sphere-on-flat contacts at sliding incipient. The model is developed based on theoretical work on contact mechanics in conjunction with finite-element results. It incorporates the effects of friction loading on the contact pressure, the mode of deformation, and the area of contact. The shear strength of the contact interface is, in this paper, assumed to be proportional to the contact pressure with a limiting value that is below the bulk shear strength of the sphere. Other plausible interfacial-shear-strength characteristics may also be implemented into the contact model in a similar manner. The model is used to analyze the frictional behavior of a sphere-on-flat contact where the experimental data suggest that the interfacial shear strength is similar in nature to the one implemented in the model. The theoretical results are consistent with the experimental data in all key aspects. This sphere-on-flat contact model may be used as a building block to develop an asperity-based contact model of rough surfaces with friction loading. It may also serve in the modeling of boundary-lubricated sliding contacts where the interfacial shear strength in each micro-contact is coupled with its flash temperature and related to the lubricant/surface physical-chemical behavior.

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 1

Experimental results shown in Fig. 7 of Ref. 1

Grahic Jump Location
Figure 2

Experimental and theoretical results shown in Fig. 8 of Ref. 1 (the theoretical curve is generated by the model of Ref. 4)

Grahic Jump Location
Figure 3

Effects of friction on the critical normal approaches and modes of deformation in an elastic-perfectly-plastic cylinder-on-flat contact

Grahic Jump Location
Figure 7

Contact area and friction-induced junction growth with c=0.3 (A—frictionless, B—τ¯m=0.35, C—τ¯m=0.7, and D—τ¯m=1.0)

Grahic Jump Location
Figure 4

Schematic of the slip-line field solution of a rigid-perfectly-plastic wedge under combined action of normal and tangential loading

Grahic Jump Location
Figure 5

Theoretical results corresponding to the experimental data of Fig. 1 (c=0.3 and τ¯m=0.35)

Grahic Jump Location
Figure 6

Theoretical results corresponding to the experimental data of Fig. 2 (c=0.3 and τ¯m=0.35)

Tables

Errata

Discussions

Related

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