Holmes M H, Lai W M, Mow V C
J Biomech Eng. 1985 Aug;107(3):206-18. doi: 10.1115/1.3138545.
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.
关节软骨在压缩过程中产生粘弹性响应的主要机制是组织的流体相和固相在彼此相对流动时的非线性扩散相互作用。本研究关注这种相互作用在单轴压缩应力松弛下的作用。该模型是流体和固体的双相混合物，纳入了早期渗透实验中发现的应变依赖性渗透率。当在关节表面施加斜坡位移时，针对缓慢和适度快速压缩速率，推导出了组织中变形和应力场的简单但准确的渐近近似。结果表明，它们与实验非常吻合，并且提供了一种确定材料参数的简单方法。此外，它们还能深入了解关节软骨和其他水合生物组织的流动依赖性粘弹性性质的作用。
