title: Stochastic impulsive pressure calculations for time dependent human hip joint lubrication.
abstract: 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.
authors: Institute of Mechatronics, Nanotechnology and Vacuum Technique, Technical University of Koszalin, Poland. krzysztof.wierzcholski@wp.pl
authors: Krzysztof
authors: K
authors: Wierzcholski
mesh_terms: D003198:Computer Simulation; D055119:Elastic Modulus / Q000502:physiology; D017276:Friction / Q000502:physiology; D006621:Hip Joint / Q000502:physiology*; D006801:Humans; D057446:Hydrodynamics; D008153:Lubrication; D008954:Models, Biological; D015233:Models, Statistical; D011312:Pressure; D013269:Stochastic Processes; D013314:Stress, Mechanical; D013582:Synovial Fluid / Q000502:physiology*; D014783:Viscosity; D016474:Weight-Bearing / Q000502:physiology*