Assessment of the Applicability of the Hertzian Contact Theory to Edge-loaded Prosthetic Hip Bearings

Overview

Journal J Biomech

Specialty Physiology

Date 2011 Oct 4

PMID 21962465

Citations 7

Authors

Anthony P Sanders

Rebecca M Brannon

Affiliations

Soon will be listed here.

Abstract

The components of prosthetic hip bearings may experience in-vivo subluxation and edge loading on the acetabular socket as a result of joint laxity, causing abnormally high, damaging contact stresses. In this research, edge-loaded contact of prosthetic hips is examined analytically and experimentally in the most commonly used categories of material pairs. In edge-loaded ceramic-on-ceramic hips, the Hertzian contact theory yields accurate (conservatively, <10% error) predictions of the contact dimensions. Moreover, the Hertzian theory successfully captures slope and curvature trends in the dependence of contact patch geometry on the applied load. In an edge-loaded ceramic-on-metal pair, a similar degree of accuracy is observed in the contact patch length; however, the contact width is less accurately predicted due to the onset of subsurface plasticity, which is predicted for loads >400N. The Hertzian contact theory is shown to be ill-suited to edge-loaded ceramic-on-polyethylene pairs due to polyethylene's nonlinear material behavior. This work elucidates the methods and the accuracy of applying classical contact theory to edge-loaded hip bearings. The results help to define the applicability of the Hertzian theory to the design of new components and materials to better resist severe edge loading contact stresses.

Citing Articles

Novel implant design of the proximal interphalangeal joint using an optimized rolling contact joint mechanism.

Hong S, Yoon J, Kim Y, Gong H J Orthop Surg Res. 2019; 14(1):212.

PMID: 31299978 PMC: 6624962. DOI: 10.1186/s13018-019-1234-6.

Effect of an edge at cup rim on contact stress during micro-separation in ceramic-on-ceramic hip joints.

Liu F, Fisher J Tribol Int. 2017; 113:323-329.

PMID: 28867870 PMC: 5465945. DOI: 10.1016/j.triboint.2017.01.012.

Effect of microseparation on contact mechanics in metal-on-metal hip replacements-A finite element analysis.

Liu F, Williams S, Fisher J J Biomed Mater Res B Appl Biomater. 2014; 103(6):1312-9.

PMID: 25370809 PMC: 4737106. DOI: 10.1002/jbm.b.33313.

Contact-coupled impact of slender rods: analysis and experimental validation.

Tibbitts I, Kakarla D, Siskey S, Ochoa J, Ong K, Brannon R Exp Mech. 2014; 54(2):187-198.

PMID: 24729630 PMC: 3979640. DOI: 10.1007/s11340-013-9778-6.

Stability and trunnion wear potential in large-diameter metal-on-metal total hips: a finite element analysis.

Elkins J, Callaghan J, Brown T Clin Orthop Relat Res. 2013; 472(2):529-42.

PMID: 24218160 PMC: 3890205. DOI: 10.1007/s11999-013-3244-8.

References

Manaka M, Clarke I, Yamamoto K, Shishido T, Gustafson A, Imakiire A . Stripe wear rates in alumina THR--comparison of microseparation simulator study with retrieved implants. J Biomed Mater Res B Appl Biomater. 2004; 69(2):149-57. DOI: 10.1002/jbm.b.20033. View

Mak M, Jin Z . Analysis of contact mechanics in ceramic-on-ceramic hip joint replacements. Proc Inst Mech Eng H. 2002; 216(4):231-6. DOI: 10.1243/09544110260138718. View

Elkins J, OBrien M, Stroud N, Pedersen D, Callaghan J, Brown T . Hard-on-hard total hip impingement causes extreme contact stress concentrations. Clin Orthop Relat Res. 2010; 469(2):454-63. PMC: 3018221. DOI: 10.1007/s11999-010-1632-x. View

Sanders A, Brannon R . Determining a Surrogate Contact Pair in a Hertzian Contact Problem. J Tribol. 2013; 133(2):2455021-245026. PMC: 3747978. DOI: 10.1115/1.4003492. View

Bourne R, Barrack R, Rorabeck C, Salehi A, Good V . Arthroplasty options for the young patient: Oxinium on cross-linked polyethylene. Clin Orthop Relat Res. 2005; 441:159-67. DOI: 10.1097/01.blo.0000193813.08458.e2. View

Kluess D, Martin H, Mittelmeier W, Schmitz K, Bader R . Influence of femoral head size on impingement, dislocation and stress distribution in total hip replacement. Med Eng Phys. 2006; 29(4):465-71. DOI: 10.1016/j.medengphy.2006.07.001. View

Scifert C, Noble P, Brown T, Bartz R, Kadakia N, Sugano N . Experimental and computational simulation of total hip arthroplasty dislocation. Orthop Clin North Am. 2001; 32(4):553-67, vii. DOI: 10.1016/s0030-5898(05)70226-1. View

Sariali E, Stewart T, Jin Z, Fisher J . Three-dimensional modeling of in vitro hip kinematics under micro-separation regime for ceramic on ceramic total hip prosthesis: an analysis of vibration and noise. J Biomech. 2009; 43(2):326-33. DOI: 10.1016/j.jbiomech.2009.08.031. View

Lewinnek G, Lewis J, Tarr R, COMPERE C, Zimmerman J . Dislocations after total hip-replacement arthroplasties. J Bone Joint Surg Am. 1978; 60(2):217-20. View

10.

Mak M, Besong A, Jin Z, Fisher J . Effect of microseparation on contact mechanics in ceramic-on-ceramic hip joint replacements. Proc Inst Mech Eng H. 2002; 216(6):403-8. DOI: 10.1243/095441102321032193. View

11.

Komistek R, Dennis D, Ochoa J, Haas B, Hammill C . In vivo comparison of hip separation after metal-on-metal or metal-on-polyethylene total hip arthroplasty. J Bone Joint Surg Am. 2002; 84(10):1836-41. DOI: 10.2106/00004623-200210000-00015. View

12.

Glaser D, Dennis D, Komistek R, Miner T . In vivo comparison of hip mechanics for minimally invasive versus traditional total hip arthroplasty. Clin Biomech (Bristol). 2007; 23(2):127-34. DOI: 10.1016/j.clinbiomech.2007.09.015. View

13.

Nevelos J, Ingham E, Doyle C, Streicher R, Nevelos A, Walter W . Microseparation of the centers of alumina-alumina artificial hip joints during simulator testing produces clinically relevant wear rates and patterns. J Arthroplasty. 2000; 15(6):793-5. DOI: 10.1054/arth.2000.8100. View

14.

Bartel D, Burstein A, Toda M, Edwards D . The effect of conformity and plastic thickness on contact stresses in metal-backed plastic implants. J Biomech Eng. 1985; 107(3):193-9. DOI: 10.1115/1.3138543. View

15.

Crowninshield R, Maloney W, Wentz D, Humphrey S, Blanchard C . Biomechanics of large femoral heads: what they do and don't do. Clin Orthop Relat Res. 2004; (429):102-7. View

16.

Dennis D, Komistek R, Northcut E, OCHOA J, Ritchie A . "In vivo" determination of hip joint separation and the forces generated due to impact loading conditions. J Biomech. 2001; 34(5):623-9. DOI: 10.1016/s0021-9290(00)00239-6. View

17.

Walter W, Insley G, Walter W, Tuke M . Edge loading in third generation alumina ceramic-on-ceramic bearings: stripe wear. J Arthroplasty. 2004; 19(4):402-13. DOI: 10.1016/j.arth.2003.09.018. View

18.

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 Appl Biomater. 2005; 73(2):301-7. DOI: 10.1002/jbm.b.30215. View

19.

Lombardi Jr A, Mallory T, Dennis D, Komistek R, Fada R, Northcut E . An in vivo determination of total hip arthroplasty pistoning during activity. J Arthroplasty. 2000; 15(6):702-9. DOI: 10.1054/arth.2000.6637. View

20.

Taylor S, Manley M, Sutton K . The role of stripe wear in causing acoustic emissions from alumina ceramic-on-ceramic bearings. J Arthroplasty. 2007; 22(7 Suppl 3):47-51. DOI: 10.1016/j.arth.2007.05.038. View