An investigation into the contact between soft elastic and poroelastic bodies rotating under load

References

• Neville A, Morina A, Liskiewicz T, et al. Synovial joint lubrication – does nature teach more effective engineering lubrication strategies? Proc IMechE Part C. 2007;221:1223–1230.10.1243/09544062JMES724
   Web of Science ®Google Scholar
• Forster H, Fisher J. The influence of loading time and lubricant on the friction of articular cartilage. Proc IMechE Part H. 1996;210:109–119.
   PubMedGoogle Scholar
• Ateshian GA, Hung CT. The natural synovial joint: properties of cartilage. Proc IMechE Part J. 2006;220:657–670.10.1243/13506501JET86
   Web of Science ®Google Scholar
• Ferguson SJ, Bryant JT, Ganz R, et al. The acetabular labrum seal: a poroelastic finite element model. Clin Biomech. 2000;15(6):463–468.10.1016/S0268-0033(99)00099-6
   PubMed Web of Science ®Google Scholar
• Mansour JM. Biomechanics of cartilage. In: Oatis CA. Kinesiology: the mechanics and pathomechanics of human movement. Philadelphia (PA): Lippincott Williams & Wilkins; 2003. Chapter 5. p. 66–79.
   Google Scholar
• McCutchen CW. The frictional properties of animal joints. Wear 1962;5:1–17.10.1016/0043-1648(62)90176-X
   Google Scholar
• Armstrong CG, Lai WM, Mow VC. An analysis of the unconfined compression of articular cartilage. J Biomech Eng Asme. 1984;106(2):165–173.10.1115/1.3138475
   PubMed Web of Science ®Google Scholar
• Krishnan R, Kopacz M, Ateshian GA. Experimental verification of the role of interstitial fluid pressurization in cartilage lubrication. J Orthrop Res. 2004;22:565–570.10.1016/j.orthres.2003.07.002
   PubMed Web of Science ®Google Scholar
• Bonnevie ED, Baro V, Wang L, et al. In situ studies of cartilage microtribology: roles of speed and contact area. Tribol Lett. 2011;41(1):83–95.10.1007/s11249-010-9687-0
   PubMed Web of Science ®Google Scholar
• Moore AC, DeLucca JF, Burris DL, Elliot DM. Quantifying cartilage contact modulus, tensile modulus, and permeability with Hertzian biphasic creep. J Tribol;2015:138(4): 041405-1-7.
   Web of Science ®Google Scholar
• Moore AC, Burris DL. Tribological rehydration of cartilage and its potential role in preserving joint health. Osteoarthritis Cartilage. 2017;25:99–107.10.1016/j.joca.2016.09.018
   PubMed Web of Science ®Google Scholar
• Biot MA. Mechanics of deformation and acoustic propagation in porous media. J Appl Phys. 1962;33(4):1482–1498.10.1063/1.1728759
   Web of Science ®Google Scholar
• Mow VC, Kuei SC, Lai WM. Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments. J Biomech Eng Asme. 1980;102(1):73–84.10.1115/1.3138202
   PubMed Web of Science ®Google Scholar
• Mow VC, Holmes MH, Lai WM. Fluid transport and mechanical properties of articular cartilage: a review. J Biomech. 1984;17(5):377–394.10.1016/0021-9290(84)90031-9
   PubMed Web of Science ®Google Scholar
• Ateshian GA, Wang HQ. A theoretical solution for the frictionless rolling-contact of cylindrical biphasic aricular cartilage layers. J Biomech. 1995;28(11):1341–1355.10.1016/0021-9290(95)00008-6
   PubMed Web of Science ®Google Scholar
• Caligaris M, Ateshian GA. Effects of sustained interstitial fluid pressurization under migrating contact area, and boundary lubrication by synovial fluid on cartilage friction. Osteoarthritis Cartilage. 2008;16(10):1220–1227.10.1016/j.joca.2008.02.020
   PubMed Web of Science ®Google Scholar
• Ateshian GA, Maas S, Weiss JA. Finite element algorithm for frictionless contact of porous permeable media under finite deformation and sliding. J Biomech Eng. 2010;132(6):061006.10.1115/1.4001034
   PubMed Web of Science ®Google Scholar
• Hu R, Hewson R, Morina A, et al. Influence of material properties and operating conditions on the predicted performance of poroelastic faced bearings. Proc IMechE Part J. 2014;228(2):131–139.10.1177/1350650113511598
   Web of Science ®Google Scholar
• Simon BR. Multiphase poroelastic finite element models for soft tissue structures. Appl Mech Rev. 1992;45(6):191–218.10.1115/1.3121397
   Google Scholar
• Benham PP, Crawford RJ, Armstrong CG. Mechanics of engineering materials. 2nd ed. Harlow: Pearson; 1996.
   Google Scholar
• Mott PH, Dorgan JR, Roland CM. The bulk modulus and Poisson’s ratio of ‘incompressible’materials. J Sound Vib. 2008;312(4–5):572–575.10.1016/j.jsv.2008.01.026
   Web of Science ®Google Scholar
• Johnson KL. Contact mechanics. Cambridge: Cambridge University Press; 1987.
   Google Scholar
• Preziosi L, Farina A. On Darcy’s law for growing porous media. Int J Non-Linear Mech. 2002;37(3):485–491.10.1016/S0020-7462(01)00022-1
   Web of Science ®Google Scholar
• Pan R. Darcy’s law as long-time limit of adiabatic porous media flow. J Differen Equat. 2006;220(1):121–146.10.1016/j.jde.2004.10.013
   Web of Science ®Google Scholar
• Biot MA. General theory of three‐dimensional consolidation. J Appl Phys. 1941;12(2):155–164.10.1063/1.1712886
   Google Scholar
• Biot MA. Theory of elasticity and consolidation for porous anisotropic solid. J Appl Phys. 1955;26(2):182–185.10.1063/1.1721956
   Web of Science ®Google Scholar
• Biot MA. General solutions of the equations of elasticity and consolidation for a porous material. Appl Mech. 1956;78:91–96.
   Google Scholar
• Jin ZM, Pickard JE, Forster H, et al. Frictional behaviour of bovine articular cartilage. Biorheology 2000;37(1–2):57–63.
   PubMed Web of Science ®Google Scholar
• Warner MD. Finite element biphasic modelling of articular cartilage: an investigation into crystal induced damage [ PhD Thesis]. University of Bath; 2000.
   Google Scholar
• COMSOL Inc. COMSOL Multiphysics v5.2a [Computer Software]; 2017. Available from https://www.comsol.com/
   Google Scholar