The osteointegration numerical prediction of a femur stem using a meshless approach

In this work the bone density distribution in the vicinity of femoral implants is predicted using a topology optimization model, based on deformation energy methods. The bone tissue is an efficient and optimized anisotropic biological material, capable of maximizing the structural stiffness by itself. In this work, the mechanical behaviour of the bone tissue is determined using a continuous anisotropic mathematical phenomenological law developed based on experimental data available in the literature. Thus, this law permits to correlate the bone density with the obtained level of stress. In order to obtain the displacement and stress fields a numerical meshless technique is used: the Natural Neighbour Radial Point Interpolator Method (NNRPIM). The NNRPIM presents various advantages in the topologic analysis comparing with other discrete numerical methods such as the Finite Element Method.