Tissue Mechanics Laboratory, Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556, USA.
Bone. 2010 May;46(5):1260-6. doi: 10.1016/j.bone.2010.02.005. Epub 2010 Feb 10.
Trabecular architecture becomes more rod-like and anisotropic in osteoporotic and aging trabecular bone. In order to address the effects of trabecular type and orientation on trabecular bone damage mechanics, microstructural finite element modeling was used to identify the yielded tissue in ten bovine tibial trabecular bone samples compressed to 1.2% on-axis apparent strain. The yielded tissue was mapped onto individual trabeculae identified by an Individual Trabeculae Segmentation (ITS) technique, and the distribution of the predicted yielding among trabecular types and orientations was compared to the experimentally measured microdamage. Although most of the predicted yielded tissue was found in longitudinal plates (73+/-11%), the measured microcrack density was positively correlated with the proportion of the yielded tissue in longitudinal rods (R(2)=0.52, p=0.02), but not in rods of other directions or plates. The overall fraction of rods and the fractions of rods along the longitudinal and transverse axes were also correlated with the measured microcrack density. In contrast, diffuse damage area did not correlate with any of these quantities. These results agree with the findings that both in vitro and in vivo microcrack densities are correlated with Structure Model Index (SMI), and are also consistent with decreased energy to failure in more rod-like trabecular bone. Together the results suggest that bending or buckling deformations of rod-like trabeculae may make trabecular structures more susceptible to microdamage formation. Moreover, while simple strain-based tissue yield criteria may account for macroscopic yielding, they may not be suitable for identifying damage.
在骨质疏松症和衰老的小梁骨中,小梁结构变得更像杆状和各向异性。为了研究小梁类型和方向对小梁骨损伤力学的影响,采用微观结构有限元建模来识别在 1.2%轴向表观应变下压缩的 10 个牛胫骨小梁骨样本中的屈服组织。将屈服组织映射到通过个体小梁分割(ITS)技术识别的个体小梁上,并将预测的屈服分布与实验测量的微损伤进行比较。尽管大部分预测的屈服组织位于纵向板中(73+/-11%),但测量的微裂纹密度与纵向杆中屈服组织的比例呈正相关(R(2)=0.52,p=0.02),但与其他方向的杆或板无关。杆的总体分数和沿纵轴和横轴的杆的分数也与测量的微裂纹密度相关。相比之下,弥散损伤面积与这些量都没有相关性。这些结果与体外和体内微裂纹密度与结构模型指数(SMI)相关的发现一致,并且也与更像杆状的小梁骨中失效能量降低一致。总之,结果表明,杆状小梁的弯曲或屈曲变形可能使小梁结构更容易形成微损伤。此外,虽然简单的基于应变的组织屈服准则可以解释宏观屈服,但它们可能不适合识别损伤。