Experimental verification of the roles of intrinsic matrix viscoelasticity and tension-compression nonlinearity in the biphasic response of cartilage

Experimental verification of the roles of intrinsic matrix viscoelasticity and tension-compression nonlinearity in the biphasic response of cartilage
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DOI:
10.1115/1.1531656
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发表时间:
2003-02-01
影响因子:
1.7
通讯作者:
Ateshian, GA
Ateshian, GA
中科院分区:
工程技术4区
文献类型:
--
作者:
Huang, CY;Soltz, MA;Ateshian, GA

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在我们最近的研究[2001,J. Biomech.工程师:123,pp. 410-417]扩展了Mow等人[1980,J. Biomech.工程师:102,pp. 73-84]以通过将其与锥形线性弹性(CLE)模型结合来包括软骨固体基质的拉伸-压缩非线性和固有粘弹性两者[1995,J. elasticity,37,pp. 1-38]和准线性粘弹性(QLV)模型[生物力学;其基础和目标,普伦蒂斯霍尔,恩格尔伍德悬崖,1972]。该模型表明,同时预测的压缩和拉伸实验的关节软骨,应力松弛和动态加载下,可以实现适当考虑流动相关和流动无关的粘弹性效应,以及拉压非线性。本研究的目的是直接测试这个双相CLE QLV模型对实验数据从无侧限压缩应力松弛试验在缓慢和快速应变速率以及动态加载。从6个牛盂肱关节中采集12个全层软骨圆柱形塞,并对每个标本进行多次限制和无限制压缩应力松弛试验。通过对有侧限和无侧限压缩应力松弛试验结果进行曲线拟合,确定了试件的材料特性。本研究的结果表明,双相CLE QLV模型能够描述无侧限压缩下关节软骨的应变率依赖性力学行为,实验和理论曲线拟合之间的良好一致性证明了这一点(对于低应变率测试,r(2)=0.966+/-0.032; r(2)=0.998+/-0.002(对于在快应变速率下的测试)和动态响应的预测(r(2)=0.91+/-0.06)。这项实验研究,也提供了支持证据的假设,这两个拉伸-压缩非线性和固有粘弹性的固体基质的软骨是必要的建模的瞬态和平衡响应的组织在拉伸和压缩。此外,双相CLE QLV模型可以产生更好的预测的动态模量的软骨在无侧限动态压缩比双相CLE和双相poro粘弹性模型,表明固有的粘弹性和拉压非线性的关节软骨在生理负荷下的负载支持机制可能发挥重要作用。
A biphasic-CLE-QLV model proposed in our recent study [2001, J. Biomech. Eng., 123, pp. 410-417] extended the biphasic theory of Mow et al. [1980, J. Biomech. Eng., 102, pp. 73-84] to include both tension-compression nonlinearity and intrinsic viscoelasticity of the cartilage solid matrix by incorporating it with the conewise linear elasticity (CLE) model [1995, J. elasticity, 37, pp. 1-38] and the quasi-linear viscoelasticity (QLV) model [Biomechanics; Its foundations and objectives, Prentice Hall, Englewood Cliffs, 1972]. This model demonstrates that a simultaneous prediction of compression and tension experiments of articular cartilage, under stress-relaxation and dynamic loading, can be achieved when properly taking into account both flow-dependent and flow-independent viscoelastic effects, as well as tension-compression nonlinearity. The objective of this study is to directly test this biphasic-CLE-QLV model against experimental data from unconfined compression stress- relaxation tests at slow and fast strain rates as well as dynamic loading. Twelve full-thickness cartilage cylindrical plugs were harvested from six bovine glenohumeral joints and multiple confined and unconfined compression stress-relaxation tests were performed on each specimen. The material properties of specimens were determined by curve-fitting the experimental results from the confined and unconfined compression stress relaxation tests. The findings of this study demonstrate that the biphasic-CLE-QLV model is able to describe the strain-rate-dependent mechanical behaviors of articular cartilage in unconfined compression as attested by good agreements between experimental and theoretical curvefits (r(2) =0.966+/-0.032 for testing at slow strain rate; r(2)=0.998+/-0.002 for testing at fast strain rate) and predictions of the dynamic response (r(2)=0.91+/-0.06). This experimental study, also provides supporting evidence for the hypothesis that both tension-compression nonlinearity and intrinsic viscoelasticity of the solid matrix of cartilage are necessary for modeling the transient and equilibrium responses of this tissue in tension and compression. Furthermore, the biphasic-CLE-QLV model can produce better predictions of the dynamic modulus of cartilage in unconfined dynamic compression than the biphasic-CLE and biphasic poroviscoelastic models, indicating that intrinsic viscoelasticity and tension-compression nonlinearity of articular cartilage may play important roles in the load-support mechanism of cartilage under physiologic loading.