Effect of 3D physiological loading and motion on elastohydrodynamic lubrication of metal-on-metal total hip replacements.

An elastohydrodynamic lubrication (EHL) simulation of a metal-on-metal (MOM) total hip implant was presented, considering both steady state and transient physiological loading and motion gait cycle in all three directions. The governing equations were solved numerically by the multi-grid method and fast Fourier transform in spherical coordinates, and full numerical solutions were presented included the pressure and film thickness distribution. Despite small variations in the magnitude of 3D resultant load, the horizontal anterior-posterior (AP) and medial-lateral (ML) load components were found to translate the contact area substantially in the corresponding direction and consequently to result in significant squeeze-film actions. For a cup positioned anatomically at 45 degrees , the variation of the resultant load was shown unlikely to cause the edge contact. The contact area was found within the cup dimensions of 70-130 degrees and 90-150 degrees in the AP and ML direction respectively even under the largest translations. Under walking conditions, the horizontal load components had a significant impact on the lubrication film due to the squeeze-film effect. The time-dependent film thickness was increased by the horizontal translation and decreased during the reverse of this translation caused by the multi-direction of the AP load during walking. The minimum film thickness of 12-20 nm was found at 0.4s and around the location at (95, 125) degrees. During the whole walking cycle both the average and centre film thickness were found obviously increased to a range of 40-65 nm, compared with the range of 25-55 nm under one load (vertical) and one motion (flexion-extension) condition, which suggested the lubrication in the current MOM hip implant was improved under 3D physiological loading and motion. This study suggested the lubrication performance especially the film thickness distribution should vary greatly under different operating conditions and the time and location that potential wear may occur was very sensitive to specific loading and motion conditions. This may provide some explanation to the large variations in wear from hip simulators and clinical studies, and also stress the importance of using more realistic loading and motion conditions in the tribological study of MOM hip prostheses.

[1]  Michael Tanzer,et al.  The Otto Aufranc Award. Wear and lubrication of metal-on-metal hip implants. , 1999, Clinical orthopaedics and related research.

[2]  J. F. Booker,et al.  Spherical Bearings: Static and Dynamic Analysis Via the Finite Element Method , 1980 .

[3]  D. Dowson,et al.  Direct experimental evidence of lubrication in a metal-on-metal total hip replacement tested in a joint simulator , 2000 .

[4]  Zhongmin Jin,et al.  Transient Elastohydrodynamic Lubrication of Hip Joint Implants , 2008 .

[5]  J. Fisher,et al.  Influence of simulator kinematics on the wear of metal-on-metal hip prostheses , 2001, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[6]  A. Unsworth,et al.  Comparison of friction and lubrication of different hip prostheses , 2000, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[7]  J. Fisher,et al.  A steady-state elastohydrodynamic lubrication model aimed at natural hip joints with physiological loading and anatomical position , 2008 .

[8]  W. Brodner,et al.  Cup inclination and serum concentration of cobalt and chromium after metal-on-metal total hip arthroplasty. , 2004, The Journal of arthroplasty.

[9]  Z. Jin,et al.  Elastohydrodynamic Lubrication Modeling of Artificial Hip Joints Under Steady-State Conditions , 2005 .

[10]  D. Dowson,et al.  Analysis of fluid film lubrication in artificial hip joint replacements with surfaces of high elastic modulus , 1997, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[11]  Harlan C. Amstutz,et al.  Metal on Metal Bearings in Hip Arthroplasty , 1996, Clinical orthopaedics and related research.

[12]  P. Revell,et al.  Biological reaction to debris in relation to joint prostheses , 1997, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[13]  Olof Calonius,et al.  Slide track analysis of eight contemporary hip simulator designs. , 2002, Journal of biomechanics.

[14]  Roy D. Crowninshield,et al.  The influences of lubricant and material on polymer/CoCr sliding friction , 2003 .

[15]  D Dowson,et al.  A full numerical analysis of hydrodynamic lubrication in artificial hip joint replacements constructed from hard materials , 1999 .

[16]  John Fisher,et al.  The role of macrophages in osteolysis of total joint replacement. , 2005, Biomaterials.

[17]  W H Harris,et al.  Analysis of the kinematics of different hip simulators used to study wear of candidate materials for the articulation of total hip arthroplasties , 1998, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[18]  F. Chan,et al.  Comparison of Alloys and Designs in a Hip Simulator Study of Metal on Metal Implants , 1996, Clinical orthopaedics and related research.

[19]  Z. Jin,et al.  Prediction of elastic deformation of acetabular cups and femoral heads for lubrication analysis of artificial hip joints , 2004 .

[20]  D. Dowson,et al.  The effect of diametral clearance, motion and loading cycles upon lubrication of metal-on-metal total hip replacements , 2001 .

[21]  3-D model of a total hip replacement in vivo providing hydrodynamic pressure and film thickness for walking and bicycling. , 2003, Journal of biomechanical engineering.

[22]  Zhongmin Jin,et al.  PRESIDENTIAL GUEST LECTURE: Tribology of Alternative Bearings , 2006, Clinical orthopaedics and related research.

[23]  Leiming Gao,et al.  Comparison of numerical methods for elastohydrodynamic lubrication analysis of metal-on-metal hip implants: Multi-grid verses Newton-Raphson , 2007 .

[24]  Donna M. Meyer Reynolds Equation for Spherical Bearings , 2003 .

[25]  D. Dowson,et al.  A study of the effect of model geometry and lubricant rheology upon the elastohydrodynamic lubrication performance of metal-on-metal hip joints , 2008 .

[26]  X. Ai,et al.  Hydrodynamic Lubrication Analysis of Metallic Hip Joint , 1996 .

[27]  D Dowson,et al.  Metal-on-metal hip joint tribology , 2006, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[28]  Z. Jin,et al.  Elastohydrodynamic lubrication analysis of metal-on-metal hip prostheses under steady state entraining motion , 2001, Proceedings of the Institution of mechanical engineers. Part H, journal of engineering in medicine.

[29]  J Fisher,et al.  The influence of acetabular cup angle on the wear of “BIOLOX Forte” alumina ceramic bearing couples in a hip joint simulator , 2001, Journal of materials science. Materials in medicine.

[30]  Duncan Dowson,et al.  The Rheology of Synovial Fluid and Some Potential Synthetic Lubricants for Degenerate Synovial Joints , 1978 .

[31]  G. Bergmann,et al.  Hip contact forces and gait patterns from routine activities. , 2001, Journal of biomechanics.