Micropolar elasticity model for stress analysis of human bones

The solution of a set of axisymmetric finite-element equations that are used to model a microelastic vertebral body subjected to an axial load is presented. A four-node quadrilateral axisymmetric finite-element mesh with variation of the elastic modulus for modeling cortical and trabecular bone components is shown. The results show that high deflection occurred near the center. This is due to the softness of the trabecular bone in the outside region. As a result, the sides of the model experience convex bending, whereas the top and the bottom end plates undergo concave bending due to the axial force. The cortical bone carried most of the axial stress, with the maximum at the quarter depth and near the center circumference. The results of the analysis were compared with a solution based on the classical elasticity solution