Hydrostatic Pressurization and Depletion of Trapped Lubricant Pool During Creep Contact of a Rippled Indenter Against a Biphasic Articular Cartilage Layer

[+] Author and Article Information
Michael A. Soltz, Ines M. Basalo, Gerard A. Ateshian

Department of Mechanical Engineering, Columbia University, New York, NY 10027

J Biomech Eng 125(5), 585-593 (Oct 09, 2003) (9 pages) doi:10.1115/1.1610020 History: Received October 07, 2002; Revised March 28, 2003; Online October 09, 2003
Copyright © 2003 by ASME
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Ateshian,  G. A., Lai,  W. M., Zhu,  W. B., and Mow,  V. C., 1994, “An Asymptotic Solution for Two Contacting Biphasic Cartilage Layer,” J. Biomech., 27, pp. 1347–1360.
Macirowski,  T., Tepic,  S., and Mann,  R. W., 1994, “Cartilage Stresses in the Human Hip Joint,” ASME J. Biomech. Eng., 116, pp. 11–18.
Ateshian,  G. A., and Wang,  H., 1995, “A Theoretical Solution for the Rolling Contact of Frictionless Cylindrical Biphasic Articular Cartilage Layers,” J. Biomech., 28, pp. 1341–1355.
Kelkar,  R., and Ateshian,  G. A., 1999, “Contact Creep of Biphasic Cartilage Layers: Identical Layers,” ASME J. Appl. Mech., 66, pp. 137–145.
Soltz,  M. A., and Ateshian,  G. A., 1998, “Experimental Verification and Theoretical Prediction of Cartilage Interstitial Fluid Pressurization at an Impermeable Contact Interface in Confined Compression,” J. Biomech., 31, pp. 927–934.
Soltz,  M. A., and Ateshian,  G. A., 2000, “Interstitial Fluid Pressurization During Confined Compression Cyclical Loading of Articular Cartilage,” Ann. Biomed. Eng., 28, pp. 150–159.
McCutchen,  C. W., 1959, “Sponge-Hydrostatic and Weeping Bearing,” Nature (London), 184, p. 1284.
McCutchen,  C. W., 1962, “The Frictional Properties of Animal Joints,” Wear, 5, pp. 1–17.
Malcom, L. L., 1976, “An Experimental Investigation of the Frictional and Deformational Responses of Articular Cartilage Interfaces to Static and Dynamic Loading,” Ph.D. Thesis, University of California, San Diego.
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.
Forster,  H., and Fisher,  J., 1996, “The Influence of Loading Time and Lubricant on the Friction of Articular Cartilage,” Proc. Inst. Mech. Eng., Part H: J. Eng. Med., 210, pp. 109–119.
Ateshian,  G. A., 1997, “A Theoretical Formulation for Boundary Friction in Articular Cartilage,” ASME J. Biomech. Eng., 119, pp. 81–86.
Ateshian,  G. A., Wang,  H., and Lai,  W. M., 1998, “The Role of Interstitial Fluid Pressurization and Surface Porosities on the Boundary Friction of Articular Cartilage,” ASME J. Tribol., 120, pp. 241–251.
Gardner,  D. L., 1972, “The Influence of Microscopic Technology on Knowledge of Cartilage Surface Structure,” Ann. Rheum. Dis., 31, pp. 235–258.
Longmore,  R. B., and Gardner,  M. J., 1975, “Development With Age of Human Articular Cartilage Surface Structure,” Ann. Rheum. Dis., 34, pp. 26–37.
Walker,  P. S., Dowson,  D., Longfield,  M. D., and Wright,  V., 1968, “‘Boosted Lubrication’ in Synovial Joints by Fluid Entrapment and Enrichment,” Ann. Rheum. Dis., 27, pp. 512–520.
Clarke,  I. C., 1971, “Articular Cartilage: A Review and Scanning Electron Microscope Study,” J. Bone Jt. Surg., Am. Vol, 53b, pp. 67–71.
Jurvelin,  J. S., Muller,  D. J., Wong,  M., Studer,  D., Engel,  A., and Hunziker,  E. B., 1996, “Surface and Subsurface Morphology of Bovine Humeral Articular Cartilage as Assessed by Atomic Force and Transmission Electron Microscopy,” J. Struct. Biol., 117, pp. 45–54.
Forster,  H., and Fisher,  J., 1999, “The Influence of Continuous Sliding and Subsequent Surface Wear on the Friction of Articular Cartilage,” Proc. Inst. Mech. Eng., Part H: J. Eng. Med., 213, pp. 329–345.
Gardner,  D. L., Salter,  D. M., and Oates,  K., 1997, “Advances in the Microscopy of Osteoarthritis,” Microsc. Res. Tech., 37, pp. 245–270.
Moa-Anderson, B. J., Costa, K. D., Hung, C. T., and Ateshian, G. A., 2003, “Bovine Articular Cartilage Surface Topography and Roughness in Fresh Versus Frozen Tissue Samples Using Atomic Force Microscopy,” Proceedings of the 2003 Summer Bioengineering Conference (in review).
Walker,  P. S., Unsworth,  A., Dowson,  D., Sikorski  J., and Wright,  V., 1970, “Mode of Aggregation of Hyaluronic Acid Protein Complex on the Surface of Articular Cartilage,” Ann. Rheum. Dis., 29, pp. 591–602.
Dowson,  D., Unsworth,  A., and Wright,  V., 1970, “Analysis of ‘Boosted Lubrication’ in Human Joints,” J. Mech. Eng. Sci., 12, pp. 364–369.
Longfield,  M. D., Dowson,  D., Walker,  P. S., and Wright,  V., 1969, “‘Boosted Lubrication’ of Human Joints by Fluid Enrichment and Entrapment,” Biomed. Eng., 4, pp. 517–522.
Maroudas,  A., 1967, “Hyaluronic Acid Films,” Proc. Inst. Mech. Eng., IMechE Conf., 181, pp. 122–124.
Dowson,  D., and Jin,  Z. M., 1992, “A Full Numerical Solution to the Problem of Microelastohydrodynamic Lubrication of a Stationary Compliant Wavy Layered Surface Firmly Bonded to a Rigid Substrate With Particular Reference to Human Synovial Joints,” Proc. Inst. Mech. Eng., Part H: J. Eng. Med., 206, pp. 185–193.
Hou,  J. S., Holmes,  M. H., Lai,  W. M., and Mow,  V. C., 1989, “Boundary Conditions at the Cartilage-Synovial Fluid Interface for Joint Lubrication and Theoretical Verifications,” J. Biomech. Eng., 111, pp. 78–87.
Hou,  J. S., Mow,  V. C., Lai,  W. M., and Holmes,  M. H., 1992, “Squeeze-Film Lubrication for Articular Cartilage With Synovial Fluid,” J. Biomech., 25, pp. 247–259.
Jin,  Z. M., Dowson,  D., and Fisher,  J., 1992, “The Effect of Porosity of Articular Cartilage on the Lubrication of a Normal Human Hip Joint,” Proc. Inst. Mech. Eng., Part H: J. Eng. Med., 206, pp. 117–124.
Hlavácek,  M., 1993, “The Role of Synovial Fluid Filtration by Cartilage in Lubrication of Synovial Joints II. Squeeze-Film Lubrication: Homogeneous Filtration,” J. Biomech., 26, pp. 1151–1160.
Hlavácek,  M., 2000, “Squeeze-Film Lubrication of the Human Ankle Joint With Synovial Fluid Filtrated by Articular Cartilage With the Superficial Zone Worn Out,” J. Biomech., 33, pp. 1415–1422.
Hlavácek,  M., 2002, “The Influence of the Acetabular Labrum Seal, Intact Articular Superficial Zone and Synovial Fluid Thixotropy on Squeeze-Film, Lubrication of a Spherical Synovial Joint,” J. Biomech., 35, pp. 1325–1335.
Kuznetsov,  Y. A., 1985, “Effects of Fluid Lubricant on the Contact Characteristics of Rough Elastic Bodies in Compression,” Wear, 102, pp. 177–194.
Avitzur,  B., 1989, “Effect of Surface Irregularities, Substrate Surface Layers, Pressure, Lubrication and Sliding Speed on Friction Resistance to Sliding Metals,” Key Eng. Mater., 33, pp. 1–16.
Athanasiou,  K. A., Rosenwasser,  M. P., Buckwalter,  J. A., Malinin,  T. I., and Mow,  V. C., 1991, “Interspecies Comparison of In Situ Intrinsic Mechanical Properties of Distal Femoral Cartilage,” J. Orthop. Res., 9, pp. 330–340.
Soltz,  M. A., Mauck,  R. L., Hung,  C. T., and Ateshian,  G. A., 2001, “Osmotic Pressure Influence on the Frictional Response of Articular Cartilage,” Trans. Orthop. Res. Soc., 26, p. 60.
Ateshian, G. A., Soltz, M. A., Mauck, R. L., Hung, C. T., and Lai, W. M., “The Role of Osmotic Pressure and Tension Compression Nonlinearity in the Frictional Response of Articular Cartilage,” Transport in Porous Media, 50 , pp. 5-33.
Hlavácek,  M., 1999, “Lubrication of the Human Ankle Joint in Walking With the Synovial Fluid Filtrated by the Cartilage With the Surface Zone Worn Out: Steady Pure Sliding Motion,” J. Biomech., 32, pp. 1059–1069.
Ateshian, G. A., and Wang, X., 2000, “Boundary Conditions at the Viscous Sliding Interface of Incompressible Porous Deformable Media,” In: Multifield Problems, State of the Art, A.-M. Sändig, W. Schiehlen, and W. Wendland (eds), Springer-Verlag, Berlin, pp. 115–124.
Swann,  D. A., Silver,  F. H., Slayter,  H. S., Stafford,  W., and Showe,  E., 1985, “The Molecular Structure and Lubricating Activity of Lubricin From Bovine and Human Synovial Fluids,” Biochem. J., 225, 195–201.
Hills,  B. A., 2000, “Boundary Lubrication In Vivo,” Proc. Inst. Mech. Eng., Part H: J. Eng. Med., 214, pp. 83–94.


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Normal fluid flux across the surface of the tissue. In the fluid pocket, the flow is into the tissue. At the periphery of the contact area, the flow is into the joint spacing for the above geometry. (Same parameters as in Fig. 2.)
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Surface displacement for selected early times inside the ripple region for the above geometry
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Trapped lubricant volume (per unit depth) versus time for various radii. W=0.5 kN/m, α=2.5 μm, and λ=500 μm.
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Trapped lubricant volume (per unit depth) versus time for various applied loads. R=0.1 m, α=2.5 μm, and λ=500 μm.
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Trapped lubricant volume (per unit depth) versus time for various parameters α and λ, with W=0.5 kN/m and R=0.1 m
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Variation of the normal approach between surfaces with time. W=0.5 kN/m and R=0.1 m.
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Time-dependent fluid load support, Wp/W (×100%), for various ripple dimensions and for no ripple. W=0.5 kN/m,R=0.1 m.
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Simulated effective friction coefficient, μeff, for various ripple dimensions and for no ripple. W=0.5 kN/m,R=0.1 m.
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Total normal contact traction (a) for early time response (t=0.01 s); (b) an intermediate time when the pool of lubricant has collapsed (t=500 s); and (c) near equilibrium response (t=10,000 s). For this case W=0.5 kN/m,R=0.1 m, α=2.5 μm, and λ=500 μm.
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Interfacial fluid pressure, pa, and normal effective traction, ta, at several time points for the above geometry. (Same parameters as in Fig. 2.)
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(a) Geometry of the contact configuration for an impermeable indenter on a biphasic surface; (b) the region at the center of contact contains the trapped lubricant



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