Numerical solution of the contact problem. Application to a simple model of the human hip joint

We draw on the mathematical formulation of the contact problem, which leads to the variational inequality. FEM is used for discretization. The variational inequality enables additional contact elements to be avoided, where a suitable stiffness parameter is needed. Moreover, we obtain the asymptotic estimate model of a human hip joint is analysed in the application. This analysis may be useful for modelling the human hip joint replacement after surgical reconstruction of the dysplastic acetabulum.