Comparison of the linear finite element prediction of deformation and strain of human cancellous bone to 3D digital volume correlation measurements

Comparison of the linear finite element prediction of deformation and strain of human cancellous bone to 3D digital volume correlation measurements
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DOI:
10.1115/1.2146001
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发表时间:
2006-02-01
影响因子:
1.7
通讯作者:
Fyhrie, DP
Fyhrie, DP
中科院分区:
工程技术4区
文献类型:
--
作者:
Zauel, R;Yeni, YN;Fyhrie, DP

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松质骨的力学性能和组织对机械载荷的生物学反应与功能期间骨小梁的变形和应变有关。由于小梁的尺寸很小,它们的运动。很难衡量。为了避免在加载过程中测量骨小梁运动的需要,已使用有限元方法来估计骨小梁水平的机械变形。这种分析方法在经验上是成功的,因为分析模型是可解的,并且它们的结果与宏观测量的骨的刚度和强度相关。目前的工作是一个直接比较的有限元预测测量的变形和应变在近小梁水平。使用数字体积相关的方法,我们测量的变形和计算的应变在一个分辨率接近松质骨标本在单轴压缩加载的小梁水平。相同力学试验的线性弹性有限元模型的平滑结果与加载方向上的经验三维(3D)变形相关,确定系数高达97%,预测斜率接近1。然而,分析模型不能很好地预测垂直于加载方向的真实的变形。我们的研究结果表明;松质骨中内部变形和应变的有限元建模在一个方向上可以是准确的,但是这不能确保所有变形和应变的准确性。
The mechanical properties of cancellous bone and the biological response of the tissue to mechanical loading are related to deformation and strain in the trabeculae during function. Due to the small size of trabeculae, their motion. is difficult to measure. To avoid the need to measure trabecular motions during loading the finite element method has been used to estimate trabecular level mechanical deformation. This analytical approach has been empirically successful in that the analytical models are solvable and their results correlate with the macroscopically measured stffness and strength of bones. The present Work is a direct comparison of finite element predictions to measurements of the deformation and strain at near trabecular level. Using the method of digital volume correlation, we measured the deformation and calculated the strain at a resolution approaching the trabecular level for cancellous bone specimens loaded in uniaxial compression. Smoothed results from linearly elastic,finite element models of the same mechanical tests were correlated to the empirical three-dimensional (3D) deformation in the direction of loading with a coefficient of determination as high as 97% and a slope of the prediction near one. However real deformations in the directions perpendicular to the loading direction were not as well predicted by the analytical models. Our results show; that the finite element modeling of the internal deformation and strain in cancellous bone can be accurate in one direction but that this does not ensure accuracy for all deformations and strains.