Lu Yongtao, Zuo Di, Li Junyan, He Yiqian
State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, No. 2 Linggong Road, Dalian, 116024, China; Department of Engineering Mechanics, Dalian University of Technology, No. 2 Linggong Road, Dalian, 116024, China.
Department of Engineering Mechanics, Dalian University of Technology, No. 2 Linggong Road, Dalian, 116024, China.
Med Eng Phys. 2019 Jan;63:50-56. doi: 10.1016/j.medengphy.2018.10.007. Epub 2018 Nov 12.
Finite element (FE) analysis can be used to predict bone mechanical environments that can be used for many important applications, such as the understanding of bone mechano-regulation mechanisms. However, when defining the FE models, uncertainty in bone material properties may lead to marked variations in the predicted mechanical environment. The aim of this study is to investigate the influence of uncertainty in bone material property on the mechanical environment of bone. A heterogeneous FE model of a mouse tibia was created from micro computed tomography images. Axial compression loading was applied, and all possible bone density-modulus relationships were considered through stochastic analysis. The 1st and 3rd principal strains (ε and ε) and the strain energy density (SED) were quantified in the tibial volume of interest (VOI). The bounds of ε, ε, and SED were determined by the bounds of the density-modulus relationship; the bone mechanical environment (ε, ε, and SED) and the bone density-modulus relationship exhibit the same trend of change; the relative percentage differences caused by bone material uncertainty are up to 28%, 28%, and 21% for ε, ε, and SED, respectively. These data provide guidelines on the adoption of bone density-modulus relationship in heterogeneous FE models.
有限元（FE）分析可用于预测骨骼力学环境，该环境可用于许多重要应用，例如理解骨骼机械调节机制。然而，在定义有限元模型时，骨材料属性的不确定性可能导致预测的力学环境出现显著差异。本研究的目的是调查骨材料属性的不确定性对骨骼力学环境的影响。从小鼠胫骨的微观计算机断层扫描图像创建了一个非均质有限元模型。施加轴向压缩载荷，并通过随机分析考虑所有可能的骨密度-模量关系。在感兴趣的胫骨体积（VOI）中对第一和第三主应变（ε和ε）以及应变能密度（SED）进行了量化。ε、ε和SED的范围由密度-模量关系的范围确定；骨骼力学环境（ε、ε和SED）与骨密度-模量关系呈现相同的变化趋势；骨材料不确定性引起的相对百分比差异对于ε、ε和SED分别高达28%、28%和21%。这些数据为在非均质有限元模型中采用骨密度-模量关系提供了指导。
