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Stochastic impulsive pressure calculations for time dependent human hip joint lubrication

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Języki publikacji
EN
Abstrakty
EN
The present paper is concerned with the calculation of the stochastic unsteady, impulsive pressure distributions and load carrying capacities in human hip joint for unsteady stochastic conditions, various standard deviations and Gaussian probability density function. The total changes of hydrodynamic pressure caused by viscoelastic synovial fluid properties are completely estimated. Calculations are performed in a super thin layer of biological synovial fluid inside the slide hip joint gap limited by a spherical bone head. Using a new unified operator of summation (UOS) method, the numerical topology of pressure calculation for a difference method is applied. From numerical standpoint the proposed method of solving modified hydrodynamic equations reduces this problem to resolving the partial recurrence non-homogeneous equation of second order with variable coefficients.
Rocznik
Strony
81--100
Opis fizyczny
Bibliogr. 25 poz., rys., tab
Twórcy
Bibliografia
  • [1] CWANEK J., The usability of the surface geometry parameters for the evaluation of artificial hip joint wear, (in Polish), Rzeszów University Publisher, 2009.
  • [2] DOWSON D., Bio-Tribology of Natural and Replacement Synovial Joints, [in:] C. Van Mow, A. Ratcliffe, S.L-Y. Woo, Biomechanics of Diarthrodial Joint, Springer-Verlag, New York–Berlin–Londyn–Paris–Tokyo–Hong Kong, 1990, Vol. 2, Chap. 29, 305–345.
  • [3] FISZ M., Probability Theory and Mathematical Statistics, John Wiley & Sons, Inc., New York, 1963.
  • [4] FUNG Y.C., Biomechanics: Mechanical Properties of Living Tissues, Springer Verlag, New York, 1993.
  • [5] FUNG Y.C., A First Course in Continuum Mechanics: for physical and biological engineers and scientists, 3-rd ed., Englewood Cliffs, N.J. Prentice-Hall, 1994.
  • [6] FUNG Y.C., Biomechanics, Motion, Flow, Stress and Growth, Springer Verlag, New York–Hong Kong, 1990.
  • [7] GARCIA J.J., ALTIERO N.J., HAUT R.C., Estimation of in Situ Elastic Properties of Biophasic Cartilage Based on a Transversely Isotropic Hypo-Elastic Model, Journal of Biomechanical Engineering, February 2000, Vol. 122, 1–8.
  • [8] JEMIOŁO S., TELEGA J.J., MICHALAK C., Hyperelastic Anisotropic Model of Soft Tissues Acta Bioeng, Biomechanics, 2000, 2 Suppl. 1, 235–240.
  • [9] KNOLL V.D., Trans-scaphoid perilunate fracture dislocations, J. Hand Surg. Am., 2005, 30A, 1145–1152.
  • [10] MOW V.C, RATCLIFFE A., WOO S., Biomechanics of Diarthrodial Joints, Springer Verlag, Berlin–Heidelberg–New York, 1990.
  • [11] PAWLAK Z., URBANIAK W., OLOYEDE A., The relationship between friction and wettability in aqueous environment, Wear, 171, 2011, 1745–1749.
  • [12] TEIPEL I., The Impulsive Motion of a Flat Plate in a Viscoelastic Fluid, Springer Verlag, Acta Mechanica, 1981, 39, 277–279.
  • [13] TRUESDELL C.A., First Course in Rational Continuum Mechanics, Maryland, John Hopkins University, Baltimore, 1972.
  • [14] WIERZCHOLSKI K., Oil velocity and pressure distribution in short journal bearing under Rivlin Ericksen lubrication, System Analysis Modeling and Simulations OPA Overseas Publishers. Assoc. N.V., 1998, Vol. 32, 205–228.
  • [15] WIERZCHOLSKI K., The method of solutions for hydrodynamic lubrication by synovial fluid flow in human joint gap, Control and Cybernetics, 2002, Vol. 31, No. 1, 91–116.
  • [16] WIERZCHOLSKI K., Comparison between impulsive and periodic non Newtonian lubrication of human hip joint, Engineering Transactions, 2005, 53, 1, 69–114.
  • [17] WIERZCHOLSKI K., MISZCZAK A., Load Carrying Capacity of Microbearings with Parabolic Journal, Solid State Phenomena, Trans. Technical Publications, Switzerland, Vol. 147–149, 2009, 542–547.
  • [18] WIERZCHOLSKI K., Topology of calculating pressure and friction coefficients for time-dependent human hip joint lubrication, Acta of Bioengineering and Biomechanics, 2011, Vol. 13, No. 1, 41–56.
  • [19] WIERZCHOLSKI K., Algorithm for Friction Force Computation in Intelligent Micro-Pairs System, (in English), XIII Journal of Applied Computer Science, 2011, Vol. 19, No. 1, 139–160.
  • [20] WIERZCHOLSKI K., NOWAKOWSKA K., Pseudo-Gaussian density function for gap height between two surfaces, (in English), XIII Journal of Applied Computer Science, 2010, Vol. 18, No. 2, 79–90.
  • [21] WIERZCHOLSKI K., CWANEK J., Measurements of head surfaces of endoprosthesis, Proceedings of 7th International Symposium INSYCONT ’06, Cracow, 2006, 49–54.
  • [22] WIERZCHOLSKI K., Bio and slide bearings: their lubrication by non-Newtonian fluids and application in nonconventional systems, Vol. II: The theory of human joint unsteady lubrication, Monograph (pp. 1–172), Published by Krzysztof Wierzcholski, Gdańsk University of Technology, ISBN 83-923367-0-4, Gdańsk, 2006.
  • [23] WIERZCHOLSKI K., Hip joint lubrication after injury for stochastic description with optimum standard deviation, Acta of Bioengineering and Biomechanics, (in English), 2005, Vol. 7, No. 2, 51–78.
  • [24] WIERZCHOLSKI K., Non-Newtonian lubrication of human hip joint for unsteady impulsive motion, Exploitation Problems of Machines Polish Academy of Sciences (Zagadnienia Eksploatacji Maszyn Kwartalnik PAN), Nr. 1, 2006, Vol. 41, 37–60.
  • [25] www.knoll.j.orthopeadics research
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPBD-0003-0037
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