0
RESEARCH PAPERS

An Analytical Model of Joint Contact

[+] Author and Article Information
A. W. Eberhardt

Department of Orthopaedic Surgery, University of Minnesota, Minneapolis, MN 55455 and Department of Civil Engineering, Northwestern University, Evanston, IL 60201

L. M. Keer, V. Vithoontien

Department of Civil Engineering, Northwestern University, Evanston, IL 60201

J. L. Lewis

Department of Orthopaedic Surgery, University of Minnesota, Minneapolis, MN 55455

J Biomech Eng 112(4), 407-413 (Nov 01, 1990) (7 pages) doi:10.1115/1.2891204 History: Received August 02, 1989; Revised June 15, 1990; Online March 17, 2008

Abstract

The stress distribution in the region of contact between a layered elastic sphere and a layered elastic cavity is determined using an analytical model to simulate contact of articulating joints. The purpose is to use the solution to analyze the effects of cartilage thickness and stiffness, bone stiffness and joint curvature on the resulting stress field, and investigate the possibility of cracking of the material due to tensile and shear stresses. Vertical cracking of cartilage as well as horizontal splitting at the cartilage-calcified cartilage interface has been observed in osteoarthritic joints. The current results indicate that for a given system (material properties μ and ν constant), the stress distribution is a function of the ratio of contact radius to layer thickness (a/h), and while tensile stresses are seen to occur only when a/h is small, tensile strain is observed for all a/h values. Significant shear stresses are observed at the cartilage-bone interface. Softening of cartilage results in an increase in a/h, and a decrease in maximum normal stress. Cartilage thinning increases a/h and the maximum contact stress, while thickening has the opposite effect. A reduction in the indenting radius reduces a/h and increases the maximum normal stress. Bone softening is seen to have negligible effect on the resulting contact parameters and stress distribution.

Copyright © 1990 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

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