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胶原纤维粘弹性在关节软骨中的作用:轴向拉伸与压缩

The role of viscoelasticity of collagen fibers in articular cartilage: axial tension versus compression.

作者信息

Li L P, Herzog W, Korhonen R K, Jurvelin J S

机构信息

Human Performance Laboratory, Faculty of Kinesiology, University of Calgary, 2500 University Drive N.W., Calgary, Alta., Canada T2N 1N4.

出版信息

Med Eng Phys. 2005 Jan;27(1):51-7. doi: 10.1016/j.medengphy.2004.08.009.

Abstract

The role of viscoelasticity of collagen fibers in bovine articular cartilage was examined in compression and tension using stress relaxation measurements in the axial direction (normal to the articular surface). Experimentally, for a given axial strain, both peak and equilibrium loads were higher in tension than in compression, whereas stress relaxation was stronger in compression, as indicated by the higher peak-to-equilibrium ratios. A viscoelastic fibril-reinforced model including fluid flow was used for analysis of the experimental data. The collagen fibrillar matrix was assumed to be viscoelastic with a strain-dependent tensile modulus, and the nonfibrillar matrix was modeled as linearly elastic. For axial tension, collagen viscoelasticity was found to account for most of the stress relaxation, while the effects of fluid pressurization on the tensile stress were negligible. In contrast, for axial compression, the dominant mechanism for stress relaxation arose from fluid pressurization, while the associated relaxation in collagen fibers mainly resulted in an increase in radial strain. The effective Poisson's ratio, defined as the ratio of the radial and axial strains, was generally smaller in compression than in tension, and deviated from the true Poisson's ratio in tensile tests because of the frictional contacts between the specimen and the loading platens. Furthermore, lower collagen elasticity in the axial direction was observed than in the radial direction. This study illustrates the essential role of collagen viscoelasticity and interstitial fluid pressurization in the mechanical response of articular cartilage.

摘要

通过在轴向方向(垂直于关节表面)进行应力松弛测量,研究了牛关节软骨中胶原纤维粘弹性在压缩和拉伸中的作用。实验表明,对于给定的轴向应变,拉伸时的峰值载荷和平衡载荷均高于压缩时,而压缩时的应力松弛更强,这表现为更高的峰值与平衡比。使用包含流体流动的粘弹性原纤维增强模型对实验数据进行分析。假设胶原原纤维基质具有与应变相关的拉伸模量的粘弹性,而非原纤维基质被建模为线弹性。对于轴向拉伸,发现胶原的粘弹性是应力松弛的主要原因,而流体加压对拉伸应力的影响可忽略不计。相比之下,对于轴向压缩,应力松弛的主要机制源于流体加压,而胶原纤维的相关松弛主要导致径向应变增加。有效泊松比定义为径向应变与轴向应变之比,通常在压缩时比在拉伸时小,并且由于试样与加载平台之间的摩擦接触,在拉伸试验中偏离了真实的泊松比。此外,观察到轴向方向的胶原弹性低于径向方向。本研究说明了胶原粘弹性和组织液加压在关节软骨力学响应中的重要作用。

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