Singular perturbation analysis of the nonlinear, flow-dependent compressive stress relaxation behavior of articular cartilage.
Singular perturbation analysis of the nonlinear, flow-dependent compressive stress relaxation behavior of articular cartilage.
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DOI：
10.1115/1.3138545
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发表时间：
1985-08
期刊：
影响因子：
--
通讯作者：
M. Holmes;W. Lai;V. Mow
中科院分区：
文献类型：
--
作者：
M. Holmes;W. Lai;V. Mow
在压缩过程中引起关节软骨粘弹性反应的主要机制是组织的流体和固体相相对流动时的非线性扩散相互作用。本研究关注的是这种相互作用在压缩中单轴应力松弛的作用。该模型是流体和固体的双相混合物，其中包含了先前从渗透实验中发现的应变相关渗透率。当在关节表面施加斜坡位移时，对于缓慢和中速压缩速率的组织中的变形和应力场，可以推导出简单但准确的渐近近似。它们与实验结果吻合良好，为确定材料参数提供了一种简单的方法。此外，它们对关节软骨和其他水合生物组织的流动依赖粘弹性特性的作用有重要的见解。
The dominant mechanism giving rise to the viscoelastic response of articular cartilage during compression is the nonlinear diffusive interaction of the fluid and solid phases of the tissue as they flow relative to one another. The present study is concerned with the role of this interaction under uniaxial stress relaxation in compression. The model is a biphasic mixture of fluid and solid which incorporates the strain-dependent permeability found earlier from permeation experiments. When a ramp-displacement is imposed on the articular surface, simple, but accurate, asymptotic approximations are derived for the deformation and stress fields in the tissue for slow and moderately fast rates of compression. They are shown to agree very well with experiment and they provide a simple means for determining the material parameters. Moreover, they lead to important insights into the role of the flow-dependent viscoelastic nature of articular cartilage and other hydrated biological tissues.