Destruction simulation for the inhomogeneous body by finite element method using computed tomography data

The work is devoted to modelling the bone organ destruction using the finite-element method and taking into account the CT data. In order to evaluate the model, the simulation results for the femur are presented. Such an approach allows to individualize the simulation of the organ and determines the relevance of the study. Numerical studies using the finite element method were performed, an eight-node finite element with linear approximation was used. A linear formulation for an inhomogeneous elastic body was considered. Young’s modulus and ultimate stress were determined using power functions. The dependence of mechanical properties on the optical density was assumed, which, in turn, was determined by linear relationships depending on the Hounsfield numbers. For discretization by the finite element method, the distribution of the mechanical properties of the material for each element was performed according to tomography data. After solving, the stress-strain state problem safety factor was calculated in each node. Based on the calculated safety factor, a decision is made either to thicken the mesh or to remove the finite element. The paper presents the results of calculations using the method for two problems: an inhomogeneous sample and specimen with averaged mechanical properties. The numerical results in these problems illustrate the significant differences in the results of the stress-strain state of the organ and allow us to judge the nature of the destruction of the organ.