Fundamentals of fluid transport through cartilage in compression

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Abstract
This paper describes the flow patterns and related viscoelastic behaviors of articular cartilage under four different loading configurations: 1) confined compression, 2) unconfined compression, 3) translating parabolic surface traction of constant loading span over a cartilage layer, and 4) spreading parabolic surface traction of periodically varying span on a cartilage layer. Brief summaries of formulations and solutions of these problems are given and discussed. For the first two cases, emphasis is given to the differences in the flow mechanisms giving rise to the observed compressive viscoelastic behavior of the tissue. These two fundamental solutions can provide a basis for interpreting the results of the deformation and flow patterns obtained from more complicated loading configurations. The last two cases simulate two main geometric features of joint articulations. Fluid efflux patterns at the articulating surface depend on the kinematics of loading as well as the intrinsic material properties of the tissue: the moduli and permeability of the solid matrix. The predominant mechanism controlling the viscoelastic behavior of the tissue in compression is determined by the relative magnitude of the fluid drag and the intrinsic stiffness of the organic solid matrix.