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Theory of Fluid Lubrication of Hydrogels and Articular Cartilage during Compression Under an Applied Load

Published online by Cambridge University Press:  20 January 2012

J. B. Sokoloff
J. B. Sokoloff*
Affiliation:
Department of Physics and Center for Interdisciplinary Research on Complex Systems, Northeastern University, Boston, Massachusetts 02115, U.S.A.
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Abstract

A fluid lubrication model for articular cartilage was put forward by Mc Cutchen, in which a high percentage of the load is supported by fluid pressurization in the interface region separating the two cartilage coated surfaces as the cartilage is compressed under load. This reduces the friction by reducing the percentage of the load which is carried by solid material in the cartilage. For two bones which are in contact in a healthy joint, which are each coated by a layer of cartilage whose thickness is much smaller than its lateral dimensions, it will be argued that since the bone is impervious to fluid flow in healthy joints, almost all of the fluid that is expressed from the cartilage under load flows through the interface region, where it supports part of the load. This is in contrast to previous theoretical and in vitro experimental studies of this problem, in which most of the fluid does not flow into the interface. It is shown that for mean asperity height small compared to a length scale (which depends on the cartilage or hydrogel permeability, the fluid viscosity and the dimensions of the cartilage or hydrogel) a large percentage of the load is supported by fluid pressurization.

Keywords

biomaterialtribologybiomedical
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 1418: Symposium LL/MM – Gels and Biomedical Materials , 2012 , mrsf11-1418-ll04-04
Copyright
Copyright © Materials Research Society 2012

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References

REFERENCES

1. Oogaki., S., Kagata, F., Kurokawa, T., Kuroda, S., Osada, Y., and Gong, J. P., Soft Matter 5(9), 1804–1811 (2009).Google Scholar
2. Gong, J. P., 2006, Soft Matter 2, 544–552 (2006).10.1039/B603209PGoogle Scholar
3. Gong, J. P. and Osada, Y., Journal of Chemical Physics 109, 8062–8068 (1998).Google Scholar
4. Gong, J. P., Kagata, G. and Osada, Y., J. Phys. Chem B 103, 6007–6014 (1999).Google Scholar
5. Sokoloff, J. B., Soft Matter 6, 3856 – 3862 (2010).10.1039/c000252fGoogle Scholar
6. Sokoloff, J. B., Journal of Physical Chemistry B 115, 2709–2716 (2010).CrossRefGoogle Scholar
7. Meachim, G. and Stockwell, R., in “Adult Articular Cartilage,” ed. Freeman, M. R. R. (Pitman Medical Publishing, Kent, England, 1979), p. 1.Google Scholar
8. Muir, I. H. M., in “Adult Articular Cartilage,” ed. Freeman, M. R. R. (Pitman Medical Publishing, Kent, England, 1979), p. 145.Google Scholar
9. Hodge, W. A., Fijan, R. S., Carlson, K. L., Burgess, R. G., Harris, W. H. and Mann, R. W., Proc. Natl. Acad. Sci. 83, 2879–2883 (1986).CrossRefGoogle Scholar
10. Urban, J. P. G., Maroudas, A., M., Bayliss, M. T. and Dillon, J., Biorheology 16, 447–464 (1979).Google Scholar
11. Maroudas, A. and Bannon, C., Biorheology 18, 619–632 (1981).CrossRefGoogle Scholar
12. McCutchen, C. W., “Sponge Hydrostatic and Weeping Bearings,” Nature 184, 1284 (1959).CrossRefGoogle ScholarPubMed
13. McCutchen, C. W., Wear 5, 1–17 (1962).Google Scholar
14. McCutchen, C. W., Fed. Proc. 25, 1061 (1966).Google Scholar
15. Ateshian, G. A., J. Biomechanical Engineering 110, 81–86 (1997).CrossRefGoogle Scholar
16. Ateshian, G. A., J. Biomechanics 42, 1163–1176 (2009).CrossRefGoogle ScholarPubMed
17. Krishnan, R., Marinar, E.N., Ateshian, G. A., J. Biomechanics 38, 1665–1673 (2005).10.1016/j.jbiomech.2004.07.025Google Scholar
18. Soltz, M. A., Basalo, I. M. and Ateshan, G. A., J. Biomechanical Engineering 125, 585–593 (2003).Google Scholar
19. Mow, V. C., Kuei, S. C., Lai, W. M., Armstrong, C. G., J. Biomechanical Engineering 102, 73-84 (1980); V. C. Mow and J. M. Mansour, J. Biomechanics 10, 31–39(1977). CrossRefGoogle Scholar
20. Hlavcek, M., J. Biomechanics 33, 1415–1422 (2000).Google Scholar
21. Persson, B. N. J., “Sliding Friction: Physical Principles and Applications,” second edition (Springer, New York), pp. 123–124 (2000).CrossRefGoogle Scholar
22. Hwang, Jennifer, Bae, Won C., Shieu, Wendy, Lewis, Chad W., Bugbee, William D., and Sah, Robert L., 58, 3831–3842 (2008).Google Scholar
23. Brochard, F. and deGennes, P. G., Macromolecules 10, 1157 (1977).Google Scholar
24. Greenwood, J. A. and Williamson, J. B. P., J. B. P., Proc. Roy. Soc. London, series A, Mathematical and Physical Sciences, 295, 300–319 (1966).Google Scholar
25. Bush, A. W., Gibson, R.D., Thomas, T. R., Wear 35, 87 (1975).CrossRefGoogle Scholar
26. , B. Persson, N. J. and Yang, C., J. Phys.:Condens. Matter 20, 315011 (2008); C. Yang and B. N. J. Persson, J. Phys.:Condens. Matter 20, 215214(2008). Google Scholar