Fabric and elastic principal directions of cancellous bone are closely related
Fabric and elastic principal directions of cancellous bone are closely related
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DOI：
10.1016/s0021-9290(96)00177-7
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发表时间：
1997-05-01
影响因子：
2.4
通讯作者：
Huiskes, R
中科院分区：
文献类型：
--
作者：
Odgaard, A;Kabel, J;Huiskes, R
松质骨结构和力学密切相关。松质骨的骨小梁结构被认为是由其力学环境（沃尔夫定律）决定的，松质骨的力学性能由骨小梁结构和材料性能反向决定。在表达这些关系方面已经花费了很多努力，但尚未完全确定为此所需的技术和变量。然而，很明显，需要对结构各向异性（组构）进行某种测量。在过去的几年里，基于体积的织物测量方法已经被引入作为平均截距长度方法的替代方法，该方法存在一些理论问题。本文旨在回答哪四种不同的织物措施最好地预测有限元计算的力学各向异性directions.29松质骨标本的三维重建使用自动连续切片技术。对每个三维重建进行了一系列大型有限元分析，以计算每个样本的顺应性矩阵，从中推导出机械主方向。采用平均截距长度（MIL）、体积取向（VO）、星星体积分布（SVD）和星星长度分布（SLD）在三维空间中测定每个样品的结构各向异性。每个结构各向异性结果由组构张量表示。构造主方向的确定，并与有限元计算的力学各向异性方向进行了比较，所有的建筑措施预测的力学主方向相当不错，这支持的假设，力学各向异性方向一致的组构方向。MIL显示出与主要机械方向的显著偏离，尽管非常小（1.4度）。VO难以确定第二和第三机械方向，其平均偏差为8.9度。SVD和SLD比MIL和VO提供了更好的力学各向异性方向的预测。(C)1997 Elsevier Science Ltd.
Cancellous bone architecture and mechanics are intimately related. The trabecular architecture of cancellous bone is considered determined by its mechanical environment (Wolff's law), and the mechanical properties of cancellous bone are inversely determined by the trabecular architecture and material properties. Much effort has been spent in expressing these relations, but the techniques and variables necessary for this have not been fully identified. It is obvious, however, that some measure of architectural anisotropy (fabric) is needed. Within the last few years, volume-based measures of fabric have been introduced as alternatives to the mean intercept length method, which has some theoretical problems. This paper seeks to answer which of four different fabric measures best predicts finite element calculated mechanical anisotropy directions.Twenty-nine cancellous bone specimens were three-dimensionally reconstructed using the automated serial sectioning technique. A series of large-scale finite-element analyses were performed on each of the three-dimensional reconstructions to calculate the compliance matrix for each specimen, from which the mechanical principal directions were derived. The architectural anisotropy was determined in three-dimensional space for each specimen using mean intercept length (MIL), volume orientation (VO), star volume distribution (SVD) and star length distribution (SLD). Each of the architectural anisotropy results were expressed by a fabric tensor. Architectural main directions were determined from the fabric tensors and compared with the FE-calculated mechanical anisotropy directions.All architectural measures predicted the mechanical main directions rather well, which supports the assumption that mechanical anisotropy directions are aligned with fabric directions. MIL showed a significant, though Very small (1.4 degrees), deviation from the primary mechanical direction. VO had difficulty in determining secondary and tertiary mechanical directions; its mean deviation was 8.9 degrees. SVD and SLD provided marginally better predictors of mechanical anisotropy directions than MIL and VO. (C) 1997 Elsevier Science Ltd.