ЧИСЛЕННЫЙ АНАЛИЗ ГИДРОДИНАМИЧЕСКОЙ СМАЗКИ В ПАРЕ ТРЕНИЯ ИЗ ТВЕРДЫХ МАТЕРИАЛОВ ТОТАЛЬНОГО ЭНДОПРОТЕЗА ТАЗОБЕДРЕННОГО СУСТАВА

Abstract

A numerical analysis of the hydrodynamic lubrication problem in a friction pair of a hip joint replacement with surfaces made of materials with a high modulus of elasticity, such as metal-metal or ceramic-ceramic, under steady-state walking conditions is presented. The Reynolds equation in spherical coordinates has been solved for the movements of the film with a three-dimensional change in the load and speed experienced in a friction pair of the hip joint during walking. It has been shown that a finite lubricating film thickness can be formed during the walking cycle due to the film squeezing. It has also been found that the design parameters of the spherical sliding pair, such as the radius of the femoral head and the radial clearance between the femoral head and the acetabular element, have a large influence on the predicted film thickness. It was concluded that there is a high likelihood that a continuous hydrodynamic lubricating film may be formed in hip replacement with a ceramic-to-ceramic pair and, possibly, for implants with some well-machined metal-to-metal pairs with a relatively small radial clearance that provides completely fluid friction.