A normalizing loading parameter useful in summarising the mechanical response of plane pin-in-plate-like contacts is extended to axisymmetric ball-in-socket-like contacts. An example addressing a compliant layered artificial hip joint is presented, and the usefulness of the normalizing loading parameter is evidenced.
DundursJ.StippesM.Role of elastic constants in certain contact problemsTrans. ASME, J. Appl. Mechanics, 1970, 37, 965–970.
2.
CiavarellaM.BaldiniA.BarberJ. R.StrozziA.Reduced dependence on loading parameters in almost conforming contactsInt. J. Mech. Sci., 2006, 48, 917–925.
3.
CiavarellaM.StrozziA.BaldiniA.GiacopiniM.RivasiS.RosiR.On the applicability of the loading parameter φ in pinned connections with relevant initial clearanceAppl. Mechanics Mater., 2006, 5–6, 155–164.
4.
JohnsonK. L.Contact mechanics, 1985 (Cambridge University Press, Cambridge).
5.
CiavarellaM.DecuzziP.The state of stress induced by the plane frictionless cylindrical contact. I. The case of elastic similarityInt. J. Solids Structs, 2001, 38, 4507–4523.
6.
StrozziA.Analytical modelling of the elastomeric layer in soft layer hip replacementsProc. Instn Mech. Engrs, Part H: J. Engineering in Medicine, 2000, 214, 69–81.
7.
UnsworthA.RobertsB.ThompsonJ.The application of soft layer lubrication to hip prosthesesJ. Bone Jt Surg. Br, 1981, 63, 297.
8.
BartelD. L.BursteinA. H.TodaM. D.EdwardsD. L.The effect of conformity and plastic thickness on contact stresses in metal-backed plastic implantsBiomech. Engng, 1985, 107, 193–199.
9.
UnsworthA. U.PearcyM. J.WhiteE. F. T.WhiteT.Soft layer lubrication of artificial hip joints. Proc. IMechE Int. ConfFifty Years On, 1987, pp. 715–124 (Mechanical Engineering Publications Limited, London).
10.
StrozziA.Contact stresses in hip replacements. PhD Thesis, University of Durham, 1992.
11.
StrozziA.UnsworthA.Axisymmetric finite element analysis of hip replacement with an elastomeric layer: The effects of layer thicknessProc. Instn Mech. Engrs, Part H: J. Engineering in Medicine, 1994, 208, 139–149.
12.
JinZ. M.DowsonD.FisherJ.A parametric analysis of the contact stress in ultra-high molecular weight polyethylene acetabular cupsMed. Engng Physics, 1994, 16, 398–405.
13.
YaoJ. Q.ParryT. V.UnsworthA.CunninghamJ. L.Contact mechanics of soft layer artificial hip joints. Pt. 2: Application to joint designProc. Instn Mech. Engrs, Part H: J. Engineering in Medicine, 1994, 208, 206–215.
14.
UnsworthA.StrozziA.Axisymmetric finite element analysis of hip replacement with an elastomeric layer: The effects of clearance and Poisson's ratioProc. Instn Mech. Engrs, Part H: J. Engineering in Medicine, 1995, 209, 59–64.
15.
JinZ. M.A general axisymmetric contact mechanics model for layered surfaces, with particular reference to artificial hip joint replacementsProc. Instn Mech. Engrs, Part H: J. Engineering in Medicine, 2000, 214, 425–435.
16.
WangA.EssnerA.KleinR.Effect of contact stress on friction and wear of ultra-high molecular weight polyethylene in total hip replacementProc. Instn Mech. Engrs, Part H: J. Engineering in Medicine, 2001, 215, 133–139.
17.
PratiE.StrozziA.A study of the elasto-hydrodynamic problem in rectangular elastomeric sealsTrans. ASME, J. Tribology, 1984, 106, 505–512.
18.
StrozziA.UnsworthA.An appraisal of the paper by O'Carrol et alProc. Instn Mech. Engrs, Part H: J. Engineering in Medicine, 1995, 209, 203–205.
19.
IsaacG. H.ThompsonJ.WilliamsS.FisherJ.Metal-on-metal bearings surfaces: Materials, manufacture, design, optimization, and alternativesProc. IMechE, Part H: J. Engineering in Medicine, 2006, 220, 119–133.
20.
YewA.JagatiaM.EnsaffH.JinZ. M.Analysis of contact mechanics in McKee-Farrar metal-on-metal hip implantsProc. Instn Mech. Engrs, Part H: J. Engineering in Medicine, 2003, 217, 333–340.
21.
LiuF.JinZ. M.RobertsP.GrigorisP.Importance of head diameter, clearance, and cup wall thickness in elastohydrodynamic lubrication analysis of metal-on-metal hip resurfacing prosthesesProc. IMechE, Part H: J. Engineering in Medicine, 2006, 220, 695–704.
