A Contact Problem Modeling the Squeeze-Film Mode of Synovial Joint Lubrication

by Van C. Mow, Columbia Univ, New York, United States,
Jiashi Hou, Columbia Univ, New York, United States,
W. Michael Lai, Columbia Univ, New York, United States,
Mark H. Holmes, Columbia Univ, New York, United States,

Abstract: A contact problem modeling synovial joint lubrication under squeeze-film conditions is studied. In this model, the thin synovial fluid layer is incompressible and linearly viscous, and the cartilage is linear and biphasic composed of a viscous interstitial fluid phase and an elastic solid phase. The cartilage layer is supported by a rigid-impervious subchondral bone. Squeeze film action is produced by a rigid-impervious spherical indenter approaching the cartilage layer under a Heaviside step load; the indenter surface is always in contact with the thin layer of fluid. Lubricant film thickness and pressure, squeeze-film time and fluid flux patterns are calculated and discussed in relation to joint functions.

Subject Headings: Joints | Contact mechanics | Structural models | Linear functions | Elastic analysis | Load factors | Thickness

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