An Evaluation of Three-Dimensional Diarthrodial Joint Contact Using Penetration Data and the Finite Element Method
Author:
Dunbar, W. L.1, U¨n K.2, Donzelli P. S.2, Spilker R. L.2
Affiliation:
1. Johnson & Johnson Professional, Inc. Raynham, MA 02767-0350 2. Department of Biomedical Engineering and the Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, NY 12180-3590
Abstract
We have developed an approximate method for simulating the three-dimensional contact of soft biphasic tissues in diarthrodial joints under physiological loading. Input to the method includes: (i) kinematic information describing an in vitro joint articulation, measured while the cartilage is deformed under physiological loads, (ii) geometric properties for the relaxed (undeformed) cartilage layers, obtained for the analyses in this study via stereophotogrammetry, and (iii) material parameters for the biphasic constitutive relations used to represent cartilage. Solid models of the relaxed tissue layers are assembled in physiological positions, resulting in a mathematical overlap of the cartilage layers. The overlap distribution is quantified and converted via the biphasic governing equations into applied traction boundary conditions for both the solid and fluid phases for each of the contacting layers. Linear, biphasic, three-dimensional, finite element analysis is performed using the contact boundary conditions derived for each of the contacting layers. The method is found to produce results consistent with the continuity requirements of biphasic contact. Comparison with results from independent, biphasic contact analyses of axisymmetric problems shows that the method slightly underestimates the contact area, leading to an overestimation of the total traction, but yields a good approximation to elastic stress and solid phase displacement.
Publisher
ASME International
Subject
Physiology (medical),Biomedical Engineering
Reference30 articles.
1. Mow, V. C., Kuei, S. C., Lai, W. M., and Armstrong, C. G., 1980, “Biphasic Creep and Stress Relaxation of Articular Cartilage in Compression: Theory and Experiments,” ASME J. Biomech. Eng., 102, pp. 73–84. 2. Lai, W. M., Hou, H. S., and Mow, V. C., 1991, “A Triphasic Theory for the Swelling and Deformational Behaviors of Articular Cartilage,” ASME J. Biomech. Eng., 113, pp. 245–258. 3. Oomens, C. W. J., Van Campen, D. H., and Grootenboer, H. J., 1987, “A Mixture Approach to the Mechanics of Skin,” J. Biomech., 20, pp. 877–885. 4. Suh, J.-K., Spilker, R. L., and Holmes, M. H., 1991, “A Penalty Finite Element Analysis for Nonlinear Mechanicas of Biphastic Hydrated Soft Tissue Under Large Deformation,” Int. J. Numer. Methods Eng., 32, pp. 1411–1439. 5. Spilker, R. L., and Maxian, T. A., 1990, “A Mixed-Penalty Finite Element Formulation of the Linear Biphasic Theory for Soft Tissues,” Int. J. Numer. Methods Eng., 30, pp. 1063–1082.
Cited by
32 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
|
|