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.
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January 2007
Technical Papers
A Mathematical Model for Frictional Elastic-Plastic Sphere-on-Flat Contacts at Sliding Incipient
L. Chang,
L. Chang
Department of Mechanical and Nuclear Engineering,
The Pennsylvania State University
, University Park, PA 16802
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H. Zhang
H. Zhang
Department of Mechanical and Nuclear Engineering,
The Pennsylvania State University
, University Park, PA 16802
Search for other works by this author on:
L. Chang
Department of Mechanical and Nuclear Engineering,
The Pennsylvania State University
, University Park, PA 16802
H. Zhang
Department of Mechanical and Nuclear Engineering,
The Pennsylvania State University
, University Park, PA 16802J. Appl. Mech. Jan 2007, 74(1): 100-106 (7 pages)
Published Online: December 9, 2005
Article history
Received:
June 27, 2005
Revised:
December 9, 2005
Citation
Chang, L., and Zhang, H. (December 9, 2005). "A Mathematical Model for Frictional Elastic-Plastic Sphere-on-Flat Contacts at Sliding Incipient." ASME. J. Appl. Mech. January 2007; 74(1): 100–106. https://doi.org/10.1115/1.2178838
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