Investigation on trabecular bone rigidity based on homogenization theory

The homogenization theory was used to discuss the rigidity of the trabecular bone. The rigidity of the trabecular bone depended fundamentally on the length and the density of the microcracks. The rigidity in three directions decreased at the same rate as the density of the microcracks increases, which affectd the elastic modulus E in the direction perpendicular to microcrack most deeply.The extended direction of microcrack also affectd the rigidity of the trabecular bone. The mechanical characteristic of cancellous bone depended on the microstructure and the mechanical characteristic of the trabecular bone. The damage of cancellous bone mainly depended on the damage of trabecular bone and distribution of the microcracks on trabecular bone.