Journal of Biomedical Engineering and Technology
ISSN (Print): 2373-129X ISSN (Online): 2373-1303 Website: Editor-in-chief: Ahmed Al-Jumaily
Open Access
Journal Browser
Journal of Biomedical Engineering and Technology. 2020, 8(1), 6-13
DOI: 10.12691/jbet-8-1-2
Open AccessArticle

Calculation Method for Assessing Contact Parameters in the Hip Prosthesis Made of Thermo-diffusion Nitrided Grade 2 / ultra-high Molecular Weight Polyethylene

Myron Chernets1, 2,

1Lublin University of Technology, Faculty of Mechanical Engineering, 20-618 Lublin, Poland

2National Aviation University, Aerospace Faculty, 03680 Kyiv, Ukraine

Pub. Date: June 01, 2020

Cite this paper:
Myron Chernets. Calculation Method for Assessing Contact Parameters in the Hip Prosthesis Made of Thermo-diffusion Nitrided Grade 2 / ultra-high Molecular Weight Polyethylene. Journal of Biomedical Engineering and Technology. 2020; 8(1):6-13. doi: 10.12691/jbet-8-1-2


In this paper, the author proposes a new calculation method for calculating contact parameters (i.e., maximum contact pressures, angle and diameter of contact) in the hip prosthesis made of thermo-diffusion nitrided (TDN) Grade 2 and ultra-high molecular weight polyethylene (UHMWPE). The paper investigates the impact of hip joint load, prosthesis head diameter and radial clearance on the above contact parameters. Relationships between maximum contact pressures and the above-mentioned contact parameters are determined. Both increasing radial clearance and endoprosthesis loading cause a linear increase in contact pressure. However, when the head diameter increases, there is a non-linear reduction of contact pressure. The contact diameter increases linearly as the head diameter increases. According to the given method, the endoprosthesis with non-spherical surfaces of its elements was also tested (Alpharabola geometry). An analysis of the effect of head deviation from sphericity in the form of oval on contact pressure, contact angle and contact diameter was performed. Beneficial effects of this geometry were determined.

hip prosthesis calculation method Alpharabola geometry maximum contact pressures

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit


[1]  Bartel, D.L., Burstein, A.H., Toda, M.D. and Edwards, D.L., “The effect of conformity and plastic thickness on contact stress in metal-backed plastic implants”, Trans. ASME, J. Biomech. Engng., Vol. 107. pp. 193-199. 1985
[2]  Jin, Z.M, Dowson, D. and Fisher, J., “A parametric analysis of the contact stress in ultra-high molecular weight polyethylene acetabular cups”, Med. Eng. Phys., Vol. 16. pp. 398-405. 1994.
[3]  Jin, Z.M., “A general axisymmetric contact mechanics model for layered surfaces, with particular reference to artifical hip joint replamences”, Proc. JMechE. Part H: Journal of Engineering in Medicine, Vol. 214. pp. 425-435. 2000.
[4]  Lebedev, N.N. and Ufliand, I.A., “ Axisymmetric contact problem for an elastic layer, PMM, Vol. 22. pp. 442-450. 1958.
[5]  Liu, F., Udofia, J.I., Jin, Z., et al., “Comparison of contact mechanics between a total hip replacement and a hip resurfacing with a metal-on-metal articulation”, Proc. IMechE. Part C: Journal of Mechanical and Engineering Science, Vol. 219. pp. 727-732. 2005.
[6]  Liu, F., Leslie, I., Williams, S., Fisher, J., Jin, Z., “Development of computational wear simulation of metal - metal hip resurfacing replacements”. Journal of Biomechanics, Vol. 41. pp. 686 - 694. 2008.
[7]  Liu, F., Fisher, J. , Jin, Z., “Computational modeling of polyethylene wear and creep in total hip joints replacements: Effect of the bearing clearance and diameter”. Proc. JMechE. Part J: Journal of Engineering Tribology, Vol. 226. pp. 552-563. 2012.
[8]  Grushko, A.V., Sheykin, S.E., Rostotsckiy, I., “Contact pressure in hip endoprosthesis swivel joints”, Journal of Friction and Wear, Vol. 33. pp. 124-129. 2012.
[9]  Hua, X., Wroblewski, B.M., Jin, Z., Wang, L., “The effect of cap inclination and wear on the contact mechanics and cement fixation for ultra-high molecular polyethylene total hip replacements”, Medical Engineering and Physics, Vol. 34. pp. 318-325. 2012.
[10]  Mattei, L., Di Puccio, F., Ciulli, E., “A comparative study of wear laws for soft-on-hard hip implants using a mathematical wear model”, Tribology International, Vol. 63. pp. 66-77. 2013.
[11]  Shankar, S., Prakash, L., Kalayarasan, M., “Finite element analysis of different contact bearing coupes for human hip prosthesis”, Journal Biomedical Engineering and Technology, Vol. 11. pp. 66-80. 2013.
[12]  Hua, X., Li, J., Wang, L. et al., “Contact mechanics of modular metal o on - polyethylene total hip replacement under adverse edge loading conditions”, Journal of Biomechanics, Vol. 47. pp. 3303-3309. 2014.
[13]  Gao, Y., Jin Z., Wang, L., Wang, M., “Finite element analysis of sliding distance and contact mechanics of hip implant under dynamic walking conditions”, Proc. JMechE. Part H: Journal of Engineering in Medicine, Vol. 229. pp. 1-6. 2015.
[14]  Gao, Y., Chai, W., Wang, L., et al., “Effect of friction and clearance on kinematics and contact mechanics of dual mobility hip implant”, Proc. JMechE. Part H: Journal of Engineering in Medicine, Vol. 230. pp. 39-49. 2016.
[15]  Uddin, M.S., “Contact of dual mobility implants: effects of cup wear and inclination”, Computer Methods in Biomechanics and Biomedical Engineering , 18:15. pp. 1611-1621. 2015.
[16]  Andreikiv, A.Je. and Chernets, M.V., “Assessment of the contact interaction of machine parts in friction”, Naukova Dumka, Kiev, 1991.
[17]  Chernets, M.V., “Contact problem for a cylindrical joint with technological faceting of the contours of its parts”, Materials Science, No. 6, pp. 859-868. 2009.
[18]  Chernets, M., “Evaluation of contact strength and durability of plain bearings with different of shaft lobing”, Proc. JMechE. Part J: Journal of Engineering Tribology, Vol. 229. pp. 1444-1454. 2015.
[19]  Chernets, M.V., Andreikiv, O.E., Lebedeva, N.M., et al., “A model for the evaluation of wear and durability of a plain bearing with small out-of-roundness”, Materials Science, No. 2. pp. 279-290. 2009.
[20]  Chernets, M., Chernets, Ju., “Generalized method for calculating the durability of sliding bearings with technological out-of-roundness of details”, Proc. JIMechE. Part J: Journal of Engineering Tribology, Vol. 229. pp. 216-226. 2015.
[21]  Pauwers, F., “Biomechanics of the locomotor apparatus”, Springer - Ferlag, Berlin - Heideberg - Ney - York, 1989.
[22]  Kupchinov, B.I., Ermakov, S.F., Belonenko, E.D., “Biotribology of synovial joints”, Vedas, Minsk, 1997.
[23]  Pohrelyuk, I.M., Sheykin, S.E., Dub, S.M., et al., “Increasing of functionality titanium/UHMWPE tribo-pairs by thermodiffusion nitriding of titanium component”, Biotribology, No. 7. pp. 38-45. 2016.
[24]  Sheykin, S., Pohrelyuk, I., Rostotsckiy, I., et al., “Tribological behaviour of the friction pair “GRADE 2/PE-UHMW” and the technology of the production of its spherical part made of GRADE 2”, Tribologia , No. 6. pp. 137-148. 2018.
[25]  Panasyuk, V.V., Teplyi, M.I., “Some contact problems of the theory of elasticity”, Naukova Dumka, Kyiv, 1975.