Computational simulation analysis for torus radius of edge contact in hip prostheses

• Autorzy: Li F. , Chen H , Mao K.

Identyfikatory

DOI

10.5277/ABB-00149-2014-04

• Języki publikacji: EN

Abstrakty

EN

Stripe wear occurs when the components of hip prostheses move a sufficient distance laterally to contact the edge of the acetabular cup, causing abnormally high contact stresses. In this research, edge loading contact of prosthetic hip is analyzed in the most commonly used material pairs. The contact dimensions and maximal contact pressure are investigated in mutative normal edge loading with 3 different inclination angles (15°, 20°, 25°) and in alterable edge torus radius with edge loading of 2500 N and inclination of 20°. A computational case was conducted for a 14 mm radius alumina ceramic bearing with a radial clearance of 0.1 mm using a normal edge loading ranged from 0 N to 3000 N. Additionally, the Hertzian theory successfully captures principal curvature trends of the edge torus on the influence of maximal contact pressure and obtains the appropriate edge radius range for lower maximal contact pressure. This work elucidates the methods of applying classical contact theory to design the edge radius of hip bearings to better resist severe edge loading contact stresses and reduce the stripe wear.

Słowa kluczowe

EN

hip prostheses; Hertzian contact; edge torus radius; contact pressure; contact dimensions; inclination angle

PL

staw biodrowy; endoproteza; kontakt Hertza; nacisk kontaktowy

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Acta of Bioengineering and Biomechanics
• Rocznik: 2015
• Tom: Vol. 17, no. 3
• Strony: 67--73
• Opis fizyczny: Bibliogr. 23 poz., rys., tab., wykr.

Twórcy

autor

Li F.

• School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, China

autor

Chen H

• School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, China

autor

Mao K.

• School of Engineering, University of Warwick, UK

Bibliografia

• [1] ALI M., MAO K., Contact analysis of hip resurfacing devices under normal and edge loading conditions, IAENG Special Issues Journal, 2012, Vol. 20(4), 317–329.
• [2] BOURNE R.B., BARRACK R., RORABECK C.H., SALEHI A., GOOD V., Arthroplasty options for the young patient: oxinium on cross-linked polyethylene, Clin. Orthop. Relat. R, 2005, Vol. 441, 159–167.
• [3] CALLANAN M.C., JARRETT B., BRAGDON C.R., ZURAKOWSKI D., RUBASH H.E., FREIBERG A.A., MALCHAU H., The John Charnley Award: risk factors for cup malpositioning: quality improvement through a joint registry at a tertiary hospital, Clin. Orthop. Relat. R, 2010, Vol. 18, 18–28.
• [4] ELKINS J.M., O’BRIEN M.K., STROUD N.J., PEDERSEN D.R., CALLAGHAN J.J., BROWN T.D., Hard-on-hard total hip impingement causes extreme contact stress concentrations, Clin. Orthop. Relat. R, 2011, Vol. 469, 454–463.
• [5] FABRIKANT V.I., A new symbolism for solving the Hertz contact problem, Q. J. Mech. Appl. Math., 2005, Vol. 58, 367–381.
• [6] GUIBERTEAU F., PADTURE N.P., LAWN B.R., Effect of grain size on hertzian contact damage in alumina, J. Am. Ceram. Soc., 1994, Vol. 77, 1825–1831.
• [7] HERTZ H., On The contact of rigid elastic solids and on hardness, [in:] J.A. Schott (ed.), Miscellaneous Papers by H. Hertz, Macmillan, London, 1882, 164–183.
• [8] IRONS M.L., The curvature and geodesics of the torus. http://www.rdrop.com/half/math/torus/index.
• [9] JACOBS J.J., ROEBUCK K.A., ARCHIBECK M., HALLAB N.J., GLANT T.T., Osteolysis: basic science, Clin. Orthop. Relat. R., 2001, Vol. 393, 71–77.
• [10] JOHNSON K.L., Contact Mechanics, Cambridge University Press, 1985.
• [11] LEWINNEK G.E., LEWIS J.L., TARR R., COMPERE C.L., ZIMMERMAN J.R., Dislocations after total hip-replacement arthroplasties, J. Bone Joint Surg. Am., 1978, Vol. 60, 217–220.
• [12] MAK M., JIN Z., FISHER J., STEWART T.D., Influence of acetabular cup rim design on the contact stress during edge loading in ceramic-on-ceramic hip prostheses, J. Arthroplasty, 2011, Vol. 26, 131–136.
• [13] MAK M.M., JIN Z.M., Analysis of contact mechanics in ceramic-on-ceramic hip joint replacements, proceedings of the institution of mechanical engineers, Part H: J. Eng. Med., 2002, Vol. 216, 231–236.
• [14] MELLON S.J., SIMPSON D.J., KWON Y.M., MURRAY D.W., GILL H.S., The influence of acetabular component orientation on stress during gait in metal-on-metal hip resurfacing, in: Proceedings Of The 56th Annual Meeting Of The Orthopaedic Research Society, New Orleans, 2010.
• [15] NIKAS G.K., Fatigue life and traction modeling of continuously variable transmissions, J. Tribol-T Asme, 2002, Vol. 124, 689–698.
• [16] SANDERS A.P., BRANNON R.M., Assessment of the applicability of the Hertzian contact theory to edge-loaded prosthetic hip bearings, J. Biomech., 2011, Vol. 44, 2802–2808.
• [17] SCHMALZRIED T.P., JASTY M., HARRIS W.H., Periprosthetic bone loss in total hip arthroplasty polyethylene wear debris and the concept of the effective joint space, J. Bone Joint Surg. Am., 1992, Vol. 74(6), 849–863.
• [18] SILVA M., SHEPHERD E.F., JACKSON W.O., DOREY F.J., SCHMALZRIED T.P., Average patient walking activity approaches 2 million cycles per year: pedometers under-record walking activity, J. Arthroplasty, 2002, Vol. 6(17), 693–697.
• [19] STEWART T.D., TIPPER J.L., INSLEY G., STREICHER R.M., INGHAM E., FISHER J., Long-term wear of ceramic matrix composite materials for hip prostheses under severe swing phase microseparation, J. Biomed. Mater Res., 2003, Vol. 66B, 567–573.
• [20] WALTER W.L., INSLEY G.M., WALTER W.K., TUKE M.A., Edge loading in third generation alumina ceramic-on-ceramic bearings: Stripe Wear, J. Arthroplasty, 2004, Vol. 19, 402–413.
• [21] WILLERT H.G., BERTRAM H., BUCHHORN G.H., Osteolysis in Alloarthroplasty of the hip, the role of ultra-high molecular weight polyethylene wears particles, Clin. Orthop. Relat. R, 1990, Vol. 258, 95–107.
• [22] YAMAMOTO T., SAITO M., UENO M., HANANOUCHI T., TOKUGAWA Y., YONENOBU K., Wear analysis of retrieved ceramic-on-ceramic articulations in total hip arthroplasty: femoral head makes contact with the rim of the socket outside of the bearing surface, J. Biomed. Mater Res. B, Applied Biomaterials, 2005, Vol. 73, 301–307.
• [23] ZENG P., INKSON B.J., RAINFORTH W.M., STEWART T., 3D surface reconstruction and FIB microscopy of worn alumina hip prostheses, J. Phys., 2008, Conference Series 126, Art. No. 012044.