Finite deformation biphasic material properties of bovine articular cartilage from confined compression experiments
Finite deformation biphasic material properties of bovine articular cartilage from confined compression experiments
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DOI：
10.1016/s0021-9290(97)85606-0
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发表时间：
1997-11-01
影响因子：
2.4
通讯作者：
Mow, VC
中科院分区：
文献类型：
--
作者：
Ateshian, GA;Warden, WH;Mow, VC
1990 年，Holmes 和 Mow [Journal of Biomechanics 23, 1145-1156] 开发了超弹性双相理论来描述关节软骨的有限变形行为。然而，迄今为止，还没有进行实验性有限变形研究来评估该本构模型描述其有限变形行为（例如动力学蠕变和应力松弛以及平衡响应）的能力。本研究的目的是：（1）研究这种超弹性双相理论是否可以用于对组织的有限变形压应力-松弛行为进行曲线拟合，并根据该过程计算其材料系数； (2) 研究该理论与计算的材料系数是否可以准确预测独立蠕变实验以及随后的组织循环加载的结果。为了实现这些目标，在应力松弛和蠕变实验中对圆柱形软骨塞进行了有限压缩测试。结果表明，应力松弛实验的曲线拟合产生了非线性广义相关系数 r(2) = 0.99 +/- 0.02（平均值 +/- 标准差）；蠕变测试的理论预测与实验结果平均相差 10.0% +/- 2.0%。对蠕变实验进行曲线拟合时，发现渗透系数与应力松弛实验中获得的渗透系数不同（k(0,cr) = 2.2 +/- 0.8 x 10(-15) m(4) N-1 s(-1) 和 M-cr = 0.4 +/- 0.8 vs k(0,sr) = 2.7 +/- 1.5 x 10(-15) m(4) N-1 s(-1) 且 M-sr = 2.2 +/- 1.0)；这些差异可能归因于曲线拟合过程中的不精确性，这是由于应力松弛和蠕变行为对渗透率函数中 M 的较大变化的敏感性较低。文中介绍了该理论模型的优点和局限性。 (C) 1997 年由爱思唯尔科学有限公司出版。保留所有权利。
In 1990, Holmes and Mow [Journal of Biomechanics 23, 1145-1156] developed a hyperelastic biphasic theory to describe finite deformation behaviors of articular cartilage. To date, however, no experimental finite deformation studies have been made to assess the ability of this constitutive model to describe its finite deformation behaviors (e.g. kinetic creep and stress-relaxation, and equilibrium responses). The objectives of this study are: (1) to investigate whether this hyperelastic biphasic theory can be used to curve-fit the finite deformation compressive stress-relaxation behavior of the tissue, and from this procedure, to calculate its material coefficients; and (2) to investigate whether the theory, together with the calculated material coefficients, can accurately predict the outcome of an independent creep experiment followed by cyclical loading of the tissue. To achieve these objectives, circular cylindrical cartilage plugs were tested in confined compression in both stress-relaxation and creep experiments. Results demonstrated that curve-fits of the stress-relaxation experiments produced nonlinear generalized correlation coefficients of r(2) = 0.99 +/- 0.02 (mean +/- standard deviation); theoretical predictions of the creep test differed on average by 10.0% +/- 2.0% relative to experimental results. When curve-fitting the creep experiments as well, it was found that the permeability coefficients differed from those obtained from the stress-relaxation experiments (k(0,cr) = 2.2 +/- 0.8 x 10(-15) m(4) N-1 s(-1) and M-cr = 0.4 +/- 0.8 vs k(0,sr) = 2.7 +/- 1.5 x 10(-15) m(4) N-1 s(-1) and M-sr = 2.2 +/- 1.0); these differences may be attributed to imprecisions in the curve fitting procedure stemming from the low sensitivity of the stress-relaxation and creep behaviors to large variations of M in the permeability function. Advantages and limitations of this theoretical model are presented in the text. (C) 1997 Published by Elsevier Science Ltd. All rights reserved.