Keller T S, Mao Z, Spengler D M
Department of Orthopaedics & Rehabilitation, Vanderbilt University, Nashville, Tennessee.
J Orthop Res. 1990 Jul;8(4):592-603. doi: 10.1002/jor.1100080416.
The Young's modulus, bending strength, apparent density, and ash content of 155 human compact bone bending specimens were determined. Both Young's modulus (E) and bending strength (S) were strongly correlated to tissue dry apparent density (rho a). Based upon the correlation coefficient (R) and the percent deviation of the data from the regression curve (% dev.), these correlations were best described by power law relationships: E infinity rho a 1.54 (R2 = 0.79, % dev. = 2.4) and S infinity rho a 2.18 (R2 = 0.80, % dev. = 6.4). Bending strength was related to Young's modulus raised to the 1.26 power, implying a nonlinear relationship for these variables. We found a weak correlation between ash content and the mechanical behavior of the compact bone specimens, particularly Young's modulus, but could not statistically justify formulation of a more complex multivariate power model incorporating both density and ash content. Regional variations in strength and stiffness along the femoral shaft and within the cortex were also noted and were attributed primarily to differences in apparent density. The relationships formulated for the mechanical behavior of human compact bone are discussed in terms of the results of previous investigations of the mechanical behavior of nonhuman compact bone and human cancellous bone.
测定了155个人类致密骨弯曲标本的杨氏模量、弯曲强度、表观密度和灰分含量。杨氏模量(E)和弯曲强度(S)均与组织干表观密度(ρa)密切相关。根据相关系数(R)和数据与回归曲线的偏差百分比(% dev.),这些相关性最好用幂律关系来描述:E∝ρa^1.54(R² = 0.79,% dev. = 2.4)和S∝ρa^2.18(R² = 0.80,% dev. = 6.4)。弯曲强度与杨氏模量的1.26次方相关,这意味着这些变量之间存在非线性关系。我们发现灰分含量与致密骨标本的力学行为之间存在弱相关性,尤其是与杨氏模量,但无法从统计学上证明构建一个包含密度和灰分含量的更复杂多元幂模型是合理的。还注意到股骨干和皮质内强度和刚度的区域差异,这主要归因于表观密度的差异。根据先前对非人类致密骨和人类松质骨力学行为的研究结果,讨论了为人类致密骨力学行为建立的关系。