Modeling of Bionically Inspired Antifriction and Connective Layers in a Joint Prosthesis
Source abstract
Abstract
Abstract The paper analyzes the stress-strain state of antifriction and connective layers in a joint prosthesis which imitate their biological analogues: articular cartilage and connective tissue between joints and bones. A three-dimensional elasticity problem is solved assuming that these functional layers feature macroscopic homogeneity and transverse isotropy and that their thickness is small compared to the characteristic size of the zone exposed to surface loads. A general solution for arbitrary boundary conditions is derived as a power series in a small parameter which is equal to the ratio of layer thickness to contact zone radius. The solution provides more accurate estimates of the stress-strain state parameters than the Winkler and Pasternak elastic foundation models. A generalization of micromechanical models is presented for describing the deformation of gradient surface layers of a polymer joint prosthesis.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Orthopaedic implants and arthroplasty · Bone Tissue Engineering Materials · Total Knee Arthroplasty Outcomes
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (29)
Show source-provided references
1. Kupchinov, B.I., Ermakov, S.F., and Beloyenko, E.D., Biotribology of Synovial Joints, Minsk: Vedy, 1997.
2. Chizhik, S.A., Arushko, A.V., Wierzcholski, K., Structure and Elastic Properties of a Cartilage at Micro- and Nanolevel, Russ. J. Biomech., 2008, vol. 12, no. 2, pp. 13–22.
3. Shilko, S.V. and Ermakov, S.F., The Role of Liquid Phase and Porous Structure of Cartilage in Formation of Biomechanical Properties of Joints. Part 1, Russ. J. Biomech., 2008, vol. 12, no. 2, pp. 31–39.
4. Suslov, A.A., Ermakov, S.F., Beletzky, A.V., Shilko, S.V., and Nikolaev, V.I., The Role of Liquid Phase and Porous Structure of Cartilage in Formation of Biomechanical Properties of Joints. Part 2, Russ. J. Biomech., 2008, vol. 12, no. 4, pp. 33–39.
5. Devitt, B.M., Bell, S.W., Webster, K.E., Feller, J.A., and Whitehead, T.S., Surgical Treatments of Cartilage Defects of the Knee: Systematic Review of Randomised Controlled Trials, Knee, 2017, vol. 24(3), pp. 508–517. https://doi.org/10.1016/j.knee.2016.12.00210.1016/j.knee.2016.12.002 ↗
6. Mithoefer, K., Williams III, R.J., Warren, R.F., Potter, H.G., Spock, C.R., Jones, E.C., Wickiewicz, T.L., and Marx, R.G., The Microfracture Technique for the Treatment of Articular Cartilage Lesions in the Knee. A Prospective Cohort Study, J. Bone Joint Surg. Am., 2005, vol. 87(9), pp. 1911–1920. https://doi.org/10.2106/JBJS.D.0284610.2106/JBJS.D.02846 ↗
7. Marlovits, S., Zeller, P., Singer, P., Resinger, C., and Vécsei, V., Cartilage Repair: Generations of Autologous Chondrocyte Transplantation, Eur. J. Radiol., 2006, vol. 57, no. 1, pp. 24–31. https://doi.org/10.1016/j.ejrad.2005.08.00910.1016/j.ejrad.2005.08.009 ↗
8. Barber, F.A. and Chow, J.C., Arthroscopic Osteochondral Transplantation: Histologic Results, Arthroscopy, 2001, vol. 17(8), pp. 832–835. https://doi.org/10.1053/jars.2001.2524510.1053/jars.2001.25245 ↗
9. Tigani, D., Fosco, M., Bena Ayad, R., and Fantasia, R., Orthopaedic Implant Materials and Design, in Wear of Orthopaedic Implants and Artificial Joints, Affatato, S., Ed., Cambridge: Woodhead Publ., 2012, pp. 133–177.10.1533/9780857096128.1.133 ↗
10. Tudor, A., Laurian, T., and Popescu, V.M., The Effect of Clearance and Wear on the Contact Pressure of Metal on Polyethylene Hip Prostheses, Tribiology Int., 2013, vol. 63, pp. 158–168. https://doi.org/10.1016/j.triboint.2012.11.00210.1016/j.triboint.2012.11.002 ↗
11. Baker, M.I., Walsh, S.P., Schwartz, Z., and Boyan, B.D., A Review of Polyvinyl Alcohol and Its Uses in Cartilage and Orthopedic Applications, J. Biomed. Mater. Res. B. Appl. Biomater., 2012, vol. 100(5), pp. 1451–1457. https://doi.org/10.1002/jbm.b.3269410.1002/jbm.b.32694 ↗
12. Yang, F., Zhao, J., Koshut, W.J., Watt, J., Riboh, J.C., Gall, K., and Wiley, B.J., A Synthetic Hydrogel Composite with the Mechanical Behavior and Durability of Cartilage, Adv. Funct. Mater., 2020, article 2003451. https://doi.org/10.1002/adfm.20200345110.1002/adfm.202003451 ↗
13. Zhang, B., Gao, L., Ma, L., Luo, Y., Yang, H., and Cui, Z., 3D Bioprinting: A Novel Avenue for Manufacturing Tissues and Organs, Engineering, 2019, vol. 5, no. 4, pp. 777–794. https://doi.org/10.1016/j.eng.2019.03.00910.1016/j.eng.2019.03.009 ↗
14. Merola, M. and Affatato, S., Materials for Hip Prostheses: A Review of Wear and Loading Considerations, Materials, 2019, vol. 12(3), p. 495. https://doi.org/10.3390/ma1203049510.3390/ma12030495 ↗
15. Murakami, T., Sawae, Y., Nakashima, K., and Fisher, J., Tribological Behaviour of Artificial Cartilage in Thin Film Lubrication, in Thinning Films and Tribological Interfaces, Dowson, D., et al., Eds., San-Diego, CA: Elsevier Science B.V., 2000, pp. 317–327.10.1016/S0167-8922(00)80136-4 ↗
16. Pinchuk, L.S., Tsvetkova, E.A., and Nikolaev, V.I., Frictional Material for Endoprostheses Having Cartilage Structure, Tren. Iznos., 1995, vol. 16, no. 3, pp. 505–510.
17. Lyukshin, B.A., Shilko, S.V., Panin, S.V., et al., Disperse-Filled Polymer Composites for Engineering and Medicine, Novosibirsk: SB RAS Publ., 2017.
18. Volkov-Bogorodskii, D.B. and Lurie, S.A., Eshelby Integral Formulas in Gradient Elasticity, Mech. Solids, 2010, vol. 45, pp. 648–656. https://doi.org/10.3103/S002565441004013810.3103/S0025654410040138 ↗
19. Belov, P.A., Volkov-Bogorodskii, D.B., Dudchenko, A.A., Kochemasova, E.I., Lurie, S.A., Obraztsov, I.F., Potupchik, E.M., Shumova, N.P., and Yanovsky, Yu.G., Fundamentals and Interface Layer Theory, Mekh. Komp. Mater. Konstr., 2004, no. 4, pp. 596–612.
20. Fabrikant, V.I., Solution of Contact Problems for a Transversely Isotropic Elastic Layer Bounded to an Elastic Half-Space, Proc. Inst. Mech. Eng. C. J. Mech. Eng. Sci., 2009, vol. 223, no. 11, pp. 2487–2499.10.1243/09544062JMES1643 ↗
21. Fabrikant, V.I., Contact Problems for Several Transversely Isotropic Elastic Layers Bounded to an Elastic Half-Space, ZAMM, 2011, vol. 91, no. 3, pp. 214–246.10.1002/zamm.200900335 ↗
22. Aleksandrov, V.M., Asymptotic Solution of the Contact Problem for a Thin Elastic Layer, J. Appl. Math. Mech., 1969, vol. 33, pp. 49–63.10.1016/0021-8928(69)90113-0 ↗
23. Jaffar, M.J., Asymptotic Behavior of Thin Elastic Layer Bonded and Unbonded to a Rigid Foundation, Int. J. Mech. Sci., 1989, vol. 31, pp. 229–235.10.1016/0020-7403(89)90113-6 ↗
24. Jaffar, M.J., A General Solution to the Axisymmetric Frictional Contact Problem of a Thin Bonded Elastic Layer, Proc. Inst. Mech. Eng. C. J. Mech. Eng. Sci., 1997, vol. 211, pp. 549–557.10.1243/0954406971521935 ↗
25. Pasternak, P.L., On a New Method of Analysis of an Elastic Foundation by means of Two Foundation Constants, Moscow: Gos. Izd. Lit. Stroit. Arkhitekt., 1954.
26. Winkler, E., Die Lehre von der Elastizität und Festigkeit, Prague: Verlag von H. Dominicus, 1867.
27. Goryacheva, I.G., Gubenko, M.M., and Makhovskaya, Yu.Yu., Sliding of a Spherical Indenter on a Viscoelastic Foundation with the Forces of Molecular Attraction Taken into Account, J. Appl. Mech. Tech. Phys., 2014, vol. 55, pp. 81–88. https://doi.org/10.1134/S002189441401011810.1134/S0021894414010118 ↗
28. Christoforou, A.P., On the Contact of a Spherical Indenter and a Thin Composite Laminate, Compos. Struct., 1993, vol. 26, pp. 77–82.10.1016/0263-8223(93)90046-S ↗
29. Christensen, R., Mechanics of Composite Materials, New York: John Wiley & Sons, 1979.