Modeling of contact interaction of an endoprosthetic knee joint

Abstract

© 2020, Springer Nature Switzerland AG. Problems of the endoprosthetic knee joint are an actual problem of modern clinics. It is important to increase the terms of work resource of the endoprosthesis. For this purpose, it is important to get an equation of contact pressure in joint. Nowadays for simulation of contact interaction in joint a finite element method is used, but results of such simulations are sensitive to mesh quality and options for numerical contact model. An analytic model of contact in the knee joint is presented in the paper. The Hertz solution was used as a basic solution. The medial and lateral condyles are described with good accuracy by a sphere in each cross section. Then the pressure distribution obtained is transmitted to the elastic half-space. According to analytical solutions diagrams connecting maximum stress in an endoprosthetic knee joint and patient’s weight was built. Results allow using analytic solution in clinical practice.