Zhang Jingzhou, Niebur Glen L, Ovaert Timothy C
Aerospace and Mechanical Engineering Department, University of Notre Dame, Notre Dame, IN 46556, USA.
J Biomech. 2008;41(2):267-75. doi: 10.1016/j.jbiomech.2007.09.019. Epub 2007 Oct 24.
Measurement of the mechanical properties of bone is important for estimating the stresses and strains exerted at the cellular level due to loading experienced on a macro-scale. Nano- and micro-mechanical properties of bone are also of interest to the pharmaceutical industry when drug therapies have intentional or non-intentional effects on bone mineral content and strength. The interactions that can occur between nano- and micro-indentation creep test condition parameters were considered in this study, and average hardness and elastic modulus were obtained as a function of indentation testing conditions (maximum load, load/unload rate, load-holding time, and indenter shape). The results suggest that bone reveals different mechanical properties when loading increases from the nano- to the micro-scale range (microN to N), which were measured using low- and high-load indentation testing systems. A four-parameter visco-elastic/plastic constitutive model was then applied to simulate the indentation load vs. depth response over both load ranges. Good agreement between the experimental data and finite element model was obtained when simulating the visco-elastic/plastic response of bone. The results highlight the complexity of bone as a biological tissue and the need to understand the impact of testing conditions on the measured results.
测量骨的力学性能对于估计在宏观尺度上承受负荷时在细胞水平施加的应力和应变很重要。当药物疗法对骨矿物质含量和强度有有意或无意的影响时,骨的纳米和微力学性能对制药行业也很重要。本研究考虑了纳米压痕蠕变试验条件参数和微压痕蠕变试验条件参数之间可能发生的相互作用,并获得了平均硬度和弹性模量作为压痕试验条件(最大载荷、加载/卸载速率、载荷保持时间和压头形状)的函数。结果表明,当载荷从纳米尺度范围(微牛顿到牛顿)增加时,骨表现出不同的力学性能,这是使用低载荷和高载荷压痕测试系统测量的。然后应用一个四参数粘弹性/塑性本构模型来模拟两个载荷范围内的压痕载荷与深度响应。在模拟骨的粘弹性/塑性响应时,实验数据与有限元模型之间取得了良好的一致性。结果突出了骨作为生物组织的复杂性以及了解测试条件对测量结果影响的必要性。