过载后人小梁骨的力学行为
Mechanical behavior of human trabecular bone after overloading.
作者信息
Keaveny T M, Wachtel E F, Kopperdahl D L
机构信息
Department of Mechanical Engineering, University of California, Berkeley 94720-1740, USA.
出版信息
J Orthop Res. 1999 May;17(3):346-53. doi: 10.1002/jor.1100170308.
With the etiology of osteoporotic fractures as motivation, the goal of this study was to characterize the mechanical behavior of human trabecular bone after overloading. Specifically, we quantified the reductions in modulus and strength and the development of residual deformations and determined the dependence of these parameters on the applied strain and apparent density. Forty cylindrical specimens of human L1 vertebral trabecular bone were destructively loaded in compression at 0.5% strain per second to strains of up to 3.0% and then immediately unloaded to zero stress and reloaded. (An ancillary experiment on more readily available bovine bone had been performed previously to develop this testing protocol.) In general, the reloading stress-strain curve had a short initial nonlinear region with a tangent modulus similar to Young's modulus. This was followed by an approximately linear region spanning to 0.7% strain, with a reduced residual modulus. The reloading curve always approached the extrapolated envelope of the original loading curve. Percent modulus reduction (between Young's and residual), a quantitative measure of mechanical damage, ranged from 5.2 to 91.0% across the specimens. It increased with increasing plastic strain (r2 = 0.97) but was not related to modulus or apparent density. Percent strength reduction, in the range of 3.6-63.8%, increased with increasing plastic strain (r2 = 0.61) and decreasing apparent density (r2 = 0.23). The residual strains of up to 1.05% depended strongly on applied strain (r2 = 0.96). Statistical comparisons with previous data for bovine tibial bone lend substantial generality to these trends and provide an envelope of expected behavior for other sites. In addition to providing a basis for biomechanical analysis of the effects of damage in trabecular bone at the organ level, these findings support the concept that occasional overloads may increase the risk of fracture by substantially degrading the mechanical properties of the underlying trabecular bone.
以骨质疏松性骨折的病因学为研究动力,本研究的目的是描述人体小梁骨在过载后的力学行为。具体而言,我们量化了模量和强度的降低以及残余变形的发展,并确定了这些参数对应变和表观密度的依赖性。四十个圆柱形人体L1椎体小梁骨标本以每秒0.5%的应变进行压缩破坏加载,直至应变达到3.0%,然后立即卸载至零应力并重新加载。(之前已对更容易获得的牛骨进行了一项辅助实验,以制定此测试方案。)一般来说,重新加载的应力-应变曲线有一个较短的初始非线性区域,其切线模量类似于杨氏模量。随后是一个跨度至0.7%应变的近似线性区域,残余模量降低。重新加载曲线总是接近原始加载曲线的外推包络线。模量降低百分比(杨氏模量与残余模量之间)是机械损伤的定量指标,在所有标本中范围为5.2%至91.0%。它随塑性应变的增加而增加(r2 = 0.97),但与模量或表观密度无关。强度降低百分比在3.6% - 63.8%范围内,随塑性应变的增加(r2 = 0.61)和表观密度的降低(r2 = 0.23)而增加。高达1.05%的残余应变强烈依赖于施加的应变(r2 = 0.96)。与先前牛胫骨数据的统计比较为这些趋势提供了很大的普遍性,并为其他部位提供了预期行为的包络线。这些发现除了为小梁骨在器官水平上损伤影响的生物力学分析提供基础外,还支持这样一种概念,即偶尔的过载可能通过大幅降低下层小梁骨的力学性能而增加骨折风险。