Squeeze-Film Lubrication of the Human Ankle Joint Subjected to the Cyclic Loading Encountered in Walking

[+] Author and Article Information
Miroslav Hlaváček

Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, Prosecká 76, Prague 9, 19000, Czech Republice-mail: hlavacek@itam.cas.cz

J. Tribol 127(1), 141-148 (Feb 07, 2005) (8 pages) doi:10.1115/1.1828076 History: Received February 02, 2004; Revised June 08, 2004; Online February 07, 2005
Copyright © 2005 by ASME
Your Session has timed out. Please sign back in to continue.


McCutchen,  C. W., 1962, “The Frictional Properties of Animal Joints,” Wear, 5, pp. 1–17.
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.
Maroudas, A., 1969, “Studies on the Formation of Hyaluronic Acid Films,” in Lubrication and Wear in Joints, edited by V. Wright, Sector, London, pp. 124–133.
Mow,  V. C., Kuei,  S. C., Lai,  W. M., and Armstrong,  C. G., 1980, “Biphasic Creep and Stress Relaxation of Articular Cartilage: Theory and Experiment,” ASME J. Biomech. Eng., 102(1), pp. 73–84.
McCutchen,  C. W., 1959, “Sponge-Hydrostatic and Weeping Bearing,” Nature (London), 184, pp. 1284–1285.
Ateshian,  G. A., Lai,  W. M., Zhu,  W. B., and Mow,  V. C., 1994, “An Asymptotic Solution for the Contact of two Biphasic Cartilage Layers,” J. Biomech., 27(11), pp. 1347–1360.
Hou,  J. S., Mow,  V. C., Lai,  W. M., and Holmes,  M. H., 1992, “An Analysis of the Squeeze-Film Lubrication Mechanism for Articular Cartilage,” J. Biomech., 25(3), 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(2), pp. 117–124.
Hlaváček,  M., 1993a, “The Role of Synovial Fluid Filtration by Cartilage in Lubrication of Synovial Joints. I. Mixture Model of Synovial Fluid,” J. Biomech., 26(10), pp. 1145–1150.
Hlaváček,  M., 1993b, “The Role of Synovial Fluid Filtration by Cartilage in Lubrication of Synovial Joints. II. Squeeze-Film Lubrication: Homogeneous Filtration,” J. Biomech., 26(10), pp. 1151–1260.
Hlaváček,  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(11), pp. 1415–1422.
Macirowski,  T., Tepic,  S., and Mann,  R. W., 1994, “Cartilage Stresses in the Human Hip Joint,” ASME J. Biomech. Eng., 116(1), pp. 10–18.
Soltz,  M. A., Basalo,  I. M., and Ateshian,  G. A., 2003, “Hydrostatic Pressurization and Depletion of Trapped Lubricant Pool During Creep Contact of a Rippled Indenter Against a Biphasic Articular Cartilage Layer,” ASME J. Biomech. Eng., 125(3), pp. 585–593.
Medley,  J. B., Dowson,  D., and Wright,  V., 1984, “Transient Elasto-Hydrodynamic Lubrication Models for the Human Ankle Joint,” Eng. Med., 13, pp. 137–151.
Cohen, B., Gardner, T. R., and Ateshian, G. A., 1993, “The Influence of Transverse Isotropy on Cartilage Indentation Behavior—A Study of the Human Humoral Head,” Transactions Orthopaedic Research Society, Orthopaedic Research Society, Chicago, IL, p. 185.
Donzelli,  P. S., Spilker,  R. L., Ateshian,  G. A., and Mow,  V. C., 1999, “Contact Analysis of Biphasic Transversely Isotropic Cartilage Layers and Correlations with Tissue Failure,” J. Biomech., 32(10), pp. 1037–1047.
Schinagl,  R. M., Gurskis,  D., and Sah,  R. L., 1997, “Depth-Dependent Confined Compression Modulus of Full-Thickness Bovine Articular Cartilage,” J. Orthop. Res., 15(4), pp. 499–506.
Akizuki,  S., Mow,  V. C., Muller,  F., Pita,  J. C., Howell,  D. S., and Manicourt,  D. H., 1986, “Tensile Properties of Knee Joint Cartilage. I. Influence of Ionic Condition, Weight Bearing and Fibrillation on the Tensile Modulus,” J. Orthop. Res., 4(4), pp. 379–392.
Setton,  L. A., Zhu,  W., and Mow,  V. C., 1993, “The Biphasic Poroviscoelastic Behavior of Articular Cartilage: Role of the Surface Zone in Governing the Compressive Behavior,” J. Biomech., 26(4–5), pp. 581–592.
Setton,  L. A., Elliot,  D. M., and Mow,  V. C., 1999, “Altered Mechanics of Cartilage With Osteoarthritis: Human Osteoarthritis and an Experimental Model of Joint Degeneration,” Osteoarthritis Cartilage, 7(1), pp. 2–14.
Guilak,  F., Ratcliffe,  A., Lane,  N., Rosenwasser,  M. P., and Mow,  V. C., 1994, “Mechanical and Biochemical Changes in the Superficial Zone of Articular Cartilage in Canine Experimental Osteoarthritis,” J. Orthop. Res., 12(4), pp. 474–484.
Dowson, D., and Jin, Z. M., 1987, “An Analysis of Micro-Elastohydrodynamic Lubrication in Synovial Joints Considering Cyclic Loading and Entraining Velocities,” Fluid Film Lubrication—Osborn Reynolds Centenary, Proc. 23th Leeds–Lyon Symposium on Tribology, edited by D. Dowson et al., Elsevier, Amsterdam, 1986, pp. 375–386.
Dowson,  D., and Jin,  Z. M., 1992, “Microelastohydrodynamic Lubrication of Low-Elastic-Modulus Solids on Rigid Substrates,” J. Phys. D, 25, pp. A116–A123.
Ribitsch,  V., Rainer,  F., and Schurz,  J., 1982, “Rheologische Eigenschaften Gesunder Synovialflüssigkeiten,” Rheol. Acta, 21(1), pp. 81–89.
Zeidler,  H., Altman,  S., John,  B., Gaffga,  R., and Kulike,  W., 1979, “Rheologie pathologischer Gelenkflüssigkeiten. I. Weitere Ergebnisse zur Viskoelastizität,” Rheol. Acta, 18(2), pp. 151–167.
Hlaváček,  M., 2001, “The Thixotropic Effect of the Synovial Fluid in Squeeze-Film Lubrication of the Human Hip Joint,” Biorheology, 38(4), pp. 319–334.
Hlaváček,  M., 1997, “A Central Film Thickness Formula for Elastohydrodynamic Lubrication of Cylinders With Soft Incompressible Coatings and a Non-Newtonian Piecewise Power-Law Lubricant in Steady Rolling Motion,” Wear, 205, pp. 20–27.
Medley,  J. B., Dowson,  D., and Wright,  V., 1983, “Surface Geometry of the Human Ankle Joint,” Eng. Med., 12(1), pp. 35–41.
Hlaváček, M., 2004, “Contact of Cylindrical Surfaces With Elastic Incompressible Coatings,” Proc. of Conf. ‘Engineering Mechanics 2004,’ Svratka, Czech Republic.
Garcia,  J. J., Alteiro,  N. J., and Haut,  R. C., 1998, “An Approach for the Stress Analysis of Transversely Isotropic Biphasic Cartilage Under Impact Load,” ASME J. Biomech. Eng., 120(3), pp. 608–613.
Matthewson,  M. J., 1981, “Axi-Symmetric Contact on Thin Compliant Coatings,” J. Mech. Phys. Solids, 29(2), pp. 89–113.
Röhrle,  H., Scholten,  R., Sigolotto,  C., Sollbach,  W., and Kellner,  H., 1984, “Joint Forces in the Human Pelvis-Leg Skeleton During Walking,” J. Biomech., 17(6), pp. 409–424.
Johnson,  G. R., Dowson,  D., and Wright,  V., 1977, “The Elastic Behavior of Articular Cartilage Under a Sinusoidally Varying Compressive Stress,” Int. J. Mech. Sci., 19(5), pp. 301–308.


Grahic Jump Location
Cross section of the cylindrical model of the human ankle joint
Grahic Jump Location
Variation of n(t)=J(t)/P=LtiW(t)/P, the joint force J(t) normalized to the body weight P, in the human ankle joint during walking with the step period of 1 s
Grahic Jump Location
Normalized contact half-width, a(t)/ati, for NAC and AAC
Grahic Jump Location
Central synovial film thickness, h(0,t), for NAC and AAC shortly after the start of walking, as well as during standing
Grahic Jump Location
Normalized central hyaluronic acid concentration, ϕ(0,t)/ϕ0, for NAC and AAC shortly after the start of walking
Grahic Jump Location
Qualitative distributions of W(t),h(0,t),ϕ(0,t),q(0,t) for NAC during the 26th step
Grahic Jump Location
Synovial film thickness, h(t), for NAC and AAC when a long walk is broken and resumed shortly afterwards, also when standing follows
Grahic Jump Location
Normalized hyaluronic acid concentration, ϕ(t)/ϕ0, for NAC and AAC when a long walk is broken and resumed shortly afterwards



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In