The Geometrical Effect on the Von Mises Stress on Ball and Socket Artificial Discs

  • F. A. Alnaimat Medical Engineering Department, Faculty of Engineering, Al-Ahliyya Amman University, Jordan
Volume: 10 | Issue: 5 | Pages: 6330-6334 | October 2020 |


Wear has been considered as a major issue for ball and socket artificial discs. This paper studies the effects of ball radius and radial clearance of the artificial disc on the von Mises stresses. Different material combinations, used in artificial discs, are compared. FEA simulation using Solidworks has been conducted for different disk geometries. The highest von Mises stress was 714MPa for 10mm radius metal against metal design. The lowest von Mises stress was 14.8MPa for 16mm radius of the UHMWPE/CoCr material combination, which exhibited the lowest von Mises stresses for all the radii of the ball and socket articulation. Considering radial clearance, the lowest von Mises stress was 14.8MPa for 0.015mm clearance of the UHMWPE/CoCr combination. The highest von Mises stress of 100.8MPa with a radial clearance of 0.25mm was recorded for the same combination. There is a strong relation between the von Mises stress and the geometry of the ball and socket of the artificial disc.

Keywords: FEA, von Mises stress, radial clearance, artificial disc, artificial joint


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F. A. Alnaimat, D. E. T. Shepherd, and K. D. Dearn, “The effect of synthetic polymer lubricants on the friction between common arthroplasty bearing biomaterials for encapsulated spinal implants,” Tribology International, vol. 98, pp. 20–25, Jun. 2016.

Q.-B. Bao, G. M. Mccullen, P. A. Higham, J. H. Dumbleton, and H. A. Yuan, “The artificial disc: theory, design and materials,” Biomaterials, vol. 17, no. 12, pp. 1157–1167, Jun. 1996.

Q. B. Bao and H. A. Yuan, “Artificial disc technology,” Neurosurgical Focus, vol. 9, no. 4, Oct. 2000.

S. Blumenthal, “A Prospective, Randomized, Multicenter Food and Drug Administration Investigational Device Exemptions Study of Lumbar Total Disc Replacement With the CHARITÉTM Artificial Disc Versus Lumbar Fusion: Part I: Evaluation of Clinical Outcomes,” Spine, vol. 30, no. 14, pp. 1565–1575, Jul. 2005.

U.-K. Chang, D. H. Kim, M. C. Lee, R. Willenberg, S.-H. Kim, and J. Lim, “Changes in adjacent-level disc pressure and facet joint force after cervical arthroplasty compared with cervical discectomy and fusion,” Journal of Neurosurgery: Spine, vol. 7, no. 1, pp. 33–39, Jul. 2007.

J. Choi, D.-A. Shin, and S. Kim, “Biomechanical Effects of the Geometry of Ball-and-Socket Artificial Disc on Lumbar Spine: A Finite Element Study,” Spine, vol. 42, no. 6, pp. 332– 339, Mar. 2017.

G. D. Cramer and S. A. Darby, Basic and Clinical Anatomy of the Spine, Spinal Cord, and ANS, 2nd ed. London, UK: Mosby, 2005.

R. B. Delamarter, D. M. Fribourg, L. E. A. Kanim, and H. Bae, “ProDisc Artificial Total Lumbar Disc Replacement: Introduction and Early Results From the United States Clinical Trial,” Spine, vol. 28, no. 20S, pp. 167– 175, Oct. 2003.

A. S. T. M. F75-98, “Specification for Cobalt-28 Chromium-6 Molybdenum Alloy Castings and Casting Alloy for Surgical Implants (UNS R30075,” ASTM F75-98, 2001.

A. L. Galvin, “Effect of conformity and contact stress on wear in fixed-bearing total knee prostheses,” Journal of Biomechanics, vol. 42, no. 12, pp. 1898–1902, Aug. 2009.

S. R. Golish and P. A. Anderson, “Bearing surfaces for total disc arthroplasty: metal-on-metal versus metal-on-polyethylene and other biomaterials,” The Spine Journal, vol. 12, no. 8, pp. 693–701, Aug. 2012.

S. B. Goodman, “Wear particles, periprosthetic osteolysis and the immune system,” Biomaterials, vol. 28, no. 34, pp. 5044–5048, Dec. 2007.

H. A. L. Guerin and D. M. Elliott, “Structure and Properties of Soft Tissues in the Spine,” in Spine Technology Handbook, S. M. Kurtz and A. A. Edidin, Eds. London, UK: Elsevier Academic Press, 2006, pp. 35–62.

U. R. Hahnle, I. R. Weinberg, K. Sliwa, B. M. Sweet, and M. Villiers, “Kineflex (Centurion) Lumbar Disc Prosthesis: Insertion Technique and 2-Year Clinical Results in 100 Patients,” International Journal of Spine Surgery, vol. 1, no. 1, pp. 28–35, Jan. 2007.

I.S.O., Implants for surgery — Wear of total intervertebral spinal disc prostheses — Part 1: Loading and displacement parameters for wear testing and corresponding environmental conditions for test, 2nd ed. ISO, 2011.

I.S.O./C.D., “Non-active surgical implants — Joint replacement implants — Particular requirements,” ISO, 2007.

E. Ingham and J. Fisher, “Biological reactions to wear debris in total joint replacement,” Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, vol. 214, no. 1, pp. 21–37, Jan. 2000.

D. Jalali-Vahid, M. Jagatia, Z. M. Jin, and D. Dowson, “Prediction of lubricating film thickness in UHMWPE hip joint replacements,” Journal of Biomechanics, vol. 34, no. 2, pp. 261–266, Feb. 2001.

Z. M. Jin, “Analysis of mixed lubrication mechanism in metal-on-metal hip joint replacements,” Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, vol. 216, no. 1, pp. 85–89, Jan. 2002.

Z. M. Jin, D. Dowson, and J. Fisher, “A parametric analysis of the contact stress in ultra-high molecular weight polyethylene acetabular cups,” Medical Engineering & Physics, vol. 16, no. 5, pp. 398–405, Sep. 1994.

Z. M. Jin, D. Dowson, and J. Fisher, “Analysis of fluid film lubrication in artificial hip joint replacements with surfaces of high elastic modulus,” Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, vol. 211, no. 3, pp. 247–256, Mar. 1997.

Y. Kadoya, A. Kobayashi, and H. Ohashi, “Wear and osteolysis in total joint replacements,” Acta Orthopaedica Scandinavica, vol. 69, no. sup278, p. 16, Jan. 1998.

M. Kraft, D. K. Koch, and M. Bushelow, “An investigation into PEEK-on-PEEK as a bearing surface candidate for cervical total disc replacement,” The Spine Journal, vol. 12, no. 7, pp. 603–611, Jul. 2012.

S. M. Kurtz, The UHMWPE Handbook: Ultra-High Molecular Weight Polyethylene in Total Joint Replacement, 1st ed. California, USA: Academic Press, 2004.

S. M. Kurtz, Total Disc Arthroplasty. London, UK: Elsevier Academic Press, 2006.

F. A. Leckie and D. J. Bello, Strength and Stiffness of Engineering Systems. New York, NY, USA: Springer, 2009.

H. H. Mathews, J.-C. LeHuec, T. Friesem, T. Zdeblick, and L. Eisermann, “Design rationale and biomechanics of Maverick Total Disc arthroplasty with early clinical results,” The Spine Journal, vol. 4, no. 6, Supplement, pp. 268– 275, Nov. 2004.

P. Moghadas, A. Mahomed, D. W. L. Hukins, and D. E. T. Shepherd, “Friction in metal-on-metal total disc arthroplasty: Effect of ball radius,” Journal of Biomechanics, vol. 45, no. 3, pp. 504–509, Feb. 2012.

N. Palastanga, D. Field, and R. W. Soames, Anatomy and Human Movement: Structure and Function, 2nd ed. Oxford, UK: Elsevier, 2013.

A. Ravikiran and S. Jahanmir, “Effect of contact pressure and load on wear of alumina,” Wear, vol. 251, no. 1, pp. 980–984, Oct. 2001.

A. Rohlmann, A. Mann, T. Zander, and G. Bergmann, “Effect of an artificial disc on lumbar spine biomechanics: a probabilistic finite element study,” European Spine Journal, vol. 18, no. 1, pp. 89–97, Jan. 2009.

R. A. Scott and D. W. Schroeder, “The effect of radial mismatch on the wear of metal on metal hip prosthesis: a hip simulator study,” in Transactions of the Annual Meeting of the Orthopaedic Research Society, 1997, vol. 22.

A. Shaheen and D. E. T. Shepherd, “Lubrication regimes in lumbar total disc arthroplasty,” Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, vol. 221, no. 6, pp. 621–627, Jun. 2007.

S. Shankar, L. Prakash, and M. Kalayarasan, “Finite element analysis of different contact bearing couples for human hip prosthesis,” International Journal of Biomedical Engineering and Technology, vol. 11, no. 1, pp. 66–80, Jan. 2013.

R. M. Streicher, M. Semlitsch, R. Schon, H. Weber, and C. Rieker, “Metal-On-Metal Articulation for Artificial Hip Joints: Laboratory Study and Clinical Results,” Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, vol. 210, no. 3, pp. 223–232, Sep. 1996.

A. Tchako and A. M. Sadegh, “Stress Changes in Intervertebral Discs of the Cervical Spine Due to Partial Discectomies and Fusion,” Journal of Biomechanical Engineering, vol. 131, no. 5, May 2009.

I. J. Udofia and Z. M. Jin, “Elastohydrodynamic lubrication analysis of metal-on-metal hip-resurfacing prostheses,” Journal of Biomechanics, vol. 36, no. 4, pp. 537–544, Apr. 2003.

A. Wang and A. Essner, “Three-body wear of UHMWPE acetabular cups by PMMA particles against CoCr, alumina and zirconia heads in a hip joint simulator,” Wear, vol. 250, no. 1–12, pp. 212–216, Oct. 2001.

A. Wang, A. Essner, and R. Klein, “Effect of contact stress on friction and wear of ultra-high molecular weight polyethylene in total hip replacement,” Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, vol. 215, no. 2, pp. 133–139, Feb. 2001.

Y. Wang, Y. Fan, and M. Zhang, “Comparison of stress on knee cartilage during kneeling and standing using finite element models,” Medical Engineering & Physics, vol. 36, no. 4, pp. 439–447, Apr. 2014.

H. Xin, D. E. T. Shepherd, and K. D. Dearn, “A tribological assessment of a PEEK based self-mating total cervical disc replacement,” Wear, vol. 303, no. 1, pp. 473–479, Jun. 2013.


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