0
Technical Briefs

A Finite Element Based Study on the Elastic-Plastic Transition Behavior in a Hemisphere in Contact With a Rigid Flat

[+] Author and Article Information
S. Shankar

Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600 036, India

M. M. Mayuram1

Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600 036, Indiamayuram@iitm.ac.in

1

Corresponding author.

J. Tribol 130(4), 044502 (Aug 04, 2008) (6 pages) doi:10.1115/1.2958081 History: Received June 27, 2007; Revised May 19, 2008; Published August 04, 2008

An axisymmetrical hemispherical asperity in contact with a rigid flat is modeled for an elastic perfectly plastic material. The present analysis extends the work (sphere in contact with a flat plate) of Kogut–Etsion Model and Jackson–Green Model and addresses some aspects uncovered in the above models. This paper shows the critical values in the dimensionless interference ratios (ωωc) for the evolution of the elastic core and the plastic region within the asperity for different YE ratios. The present analysis also covers higher interference ratios, and the results are applied to show the difference in the calculation of real contact area for the entire surface with other existing models. The statistical model developed to calculate the real contact area and the contact load for the entire surfaces based on the finite element method (FEM) single asperity model with the elastic perfectly plastic assumption depends on the YE ratio of the material.

FIGURES IN THIS ARTICLE
<>
Copyright © 2008 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Finite element mesh plot

Grahic Jump Location
Figure 2

von Mises stress at different interference: (a) plastic region develops in the subsurface; (b) plastic region initially touches the surface; (c) elastic core completely disappears; (d) plastic region dominates over the entire asperity

Grahic Jump Location
Figure 3

Interference ratio at which elastic-plastic transition starts based on the evolution of elastic core

Grahic Jump Location
Figure 4

Dimensionless contact radius as a function of yield strength to elastic modulus ratio

Grahic Jump Location
Figure 5

end of elastic-plastic region based on the disappearance of elastic core

Grahic Jump Location
Figure 6

variation of mean contact pressure ratio with dimensionless interference ratio

Grahic Jump Location
Figure 7

FEM predicted contact load

Grahic Jump Location
Figure 8

Dimensionless mean separation as a function of dimensionless contact load

Grahic Jump Location
Figure 9

Dimensionless real contact area as a function of dimensionless contact load

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