Study Of Topology Optimization Based On The Reaction-Diffusion System And Coupled Biomechanics

Recently, the study of topology optimization has been the hotspot of the study of structure optimization. There are some most familiar topology optimization methods. Such as Homogenization method, Solid Isotropic Material with Penalization, Evolutionary Structural Optimization and Level Set method. And in this paper, a new topology optimization method—iBone (imitation bone) is introduced.According to the viewpoint of Biomechanics, iBone is based on Reaction-Diffusion System and Finite Element method to imitate the reforming process of osteoblasts and osteoclasts by using bone function of auto-adapted and auto-optimized characteristics.In this paper, the theory of iBone is introduced. And numerical model of the imitation of thighbone is established. The results shown that the bone mass and dead volume are increased with the increase of the initial load value, then fibula and femur bones are obtained respectively by keeping the required bone forming value. The different bone shapes are obtained by changing the both bone keeping value and the compressing force value. When set smaller bone keeping value by keeping larger constant compressing force value, bone shape as a pipe with hole just like femur, when set larger bone keeping value by keeping the smaller constant compressing force value, it is close to solid pillar as like fibula.In this paper, the numerical model of the inner microstructure of bone is established too. It has been proved that the inner microstructure of bone is a structure which is multi-hole and multi-porosity by imitating many different cases.And that along with the change of the value of B to L, the aperture and the denseness of hole in the microstructure change. And aperture of microstructure is changed by the changes of bone keeping value. When the value of B to L decreased, the number of aperture augment when bone keeping value is fixed. And the aperture of the new hole augment, the aperture of formerly holes decreases. The smaller of bone keeping value, the larger of aperture of microstructure when the value of B to L is fixed. Contrarily aperture of microstructure is smaller.