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| A Study on Cortical Bone Specimens Preparation and Method to Calculate the Mechanical Parameters |
| Zhang Guanjun*, Deng Xianpan, Yang Jie, Zhai Naichuan, Deng Xiaopeng, Cao Libo |
| (State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082,China) |
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Abstract The finite element method has become an important means of injury biomechanics, accurate cortical bone material constitutive parameters are important for the study of human impact injury and artificial bone. In this study, a method for processing high precision regular specimens is proposed and a quasi-static three-point bending test was applied. The beam theory and the optimization methodology with specimen-specific finite element models were applied to discuss the anisotropy and regional difference of cortical bone material, and a regression mode of material parameters obtained by the two methods was established based on linear regression analysis. Sixteen transverse and axial specimens were prepared, the proposed method can control the dimensions of specimens deviation of less than 4%. Using beam theory, Young's modulus of fresh bovine cortical bone in the axial and transverse was (21.70±3.33) GPa and (14.47±2.10) GPa, ultimate stress was (249.21±38.83) MPa and (106.81±21.05) MPa, and the ultimate strain was 1.95%±0.35% and 1.06%±0.20%, respectively, which were consistent with results reported by literatures. Linear regression analysis was applied to Young's modulus, yield stress and effective plastic strain obtained by beam theory and optimization, the fitting precision of the regression model was 96.4%, 98.7% and 89.3% (P<0.05), respectively. Results showed that the proposed method can efficiently prepare specimens with high dimensional accuracy and the biomechanical properties of the specimens were well maintained. In the quasi-static three point bending test of cortical bone, accurate material constitutive parameters were obtained by the optimization methodology with specimen-specific finite element models, and elastic modulus, yield stress and effective plastic strain were predicted quickly and accurately by beam theory based on the regression mode.
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Received: 27 April 2016
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