Prediction of cortical bone elastic constants by a two-level micromechanical model using a generalized self-consistent method
Prediction of cortical bone elastic constants by a two-level micromechanical model using a generalized self-consistent method
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DOI：
10.1115/1.2187039
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发表时间：
2006-06-01
影响因子：
1.7
通讯作者：
Guo, X. Edward
中科院分区：
文献类型：
--
作者：
Dong, X. Neil;Guo, X. Edward
建立了一个基于广义自洽方法的皮质骨两层细观力学模型，该模型考虑了皮质骨中多种微观结构特征的横观各向同性弹性，包括哈弗斯管、吸收腔、骨板和间质板层。在第一个层次中，单个骨素被建模为两相复合材料，其中哈弗氏管由细长的毛孔表示，周围的骨板被认为是基质。在第二层次中，将骨小体和吸收腔模拟为多个夹杂物，而将间质板层视为基质。由该两级细观力学模型预测的皮质骨弹性与人股骨皮质骨横观各向同性弹性对孔隙率的依赖关系与实验数据基本一致。然而，皮质骨弹性常数的变化在实验数据中比在模型预测中更大。这可能归因于皮质骨微观结构特征的弹性特性的变化。目前的皮质骨细观力学模型将有助于理解皮质骨孔洞对股骨颈骨折的贡献。
A two-level micromechanical model of cortical bone based on a generalized self-consistent method was developed to take into consideration the transversely isotropic elasticity of mangy microstructural features in cortical bone, including Haversian canals, resorption cavities, and osteonal and interstitial lamellae. In the first level, a single osteon was modeled as a two-phase composite such that Haversian canals were represented by elongated pores while the surrounding osteonal lamellae were considered as matrix. In the second level, osteons and resorption cavities were modeled as multiple inclusions while interstitial lamellae were regarded as matrix. The predictions of cortical bone elasticity from this two-level micromechanical model were mostly in agreement with experimental data for the dependence of transversely isotropic elasticity of human femoral cortical bone on porosity. However, variation in cortical bone elastic constants was greater in experimental data than in model predictions. This could be attributed to variations in the elastic properties of microstructural features in cortical bone. The present micromechanical model of cortical bone will be useful in understanding the contribution of cortical bone porosity to femoral neck fractures.