Kelly P A, O'Connor J J
Oxford Orthopaedic Engineering Centre, Nuffield Orthopaedic Centre, Headington.
Proc Inst Mech Eng H. 1996;210(1):27-37. doi: 10.1243/PIME_PROC_1996_210_388_02.
An elastostatic model of rapidly loaded articular cartilage is presented. It is assumed that the cartilage experiences little volumetric change or interstitial fluid flow while loaded instantaneously. Subchondral bone compliance and articular surface friction are incorporated. Integral representations of the stress distributions within cartilage are derived using Fourier transform techniques and the integrals are solved numerically. Localized tensile stresses are found and occur in regions close to the cartilage-bone interface as well as at the articular surface, outside the embrace of the load. The qualitative similarity between the results and those of previous investigations is explained by an elementary equilibrium analysis. The stress distributions suggest that the splits and cracks observed in diseased cartilage may be initiated, or propagated, by tensile stress.
提出了一种快速加载的关节软骨弹性静力学模型。假定软骨在瞬间加载时体积变化很小或几乎没有组织液流动。纳入了软骨下骨顺应性和关节表面摩擦力。利用傅里叶变换技术推导了软骨内应力分布的积分表达式，并对积分进行了数值求解。发现局部拉应力出现在靠近软骨-骨界面的区域以及关节表面、载荷作用范围之外。通过基本平衡分析解释了结果与先前研究结果之间的定性相似性。应力分布表明，在病变软骨中观察到的劈裂和裂纹可能是由拉应力引发或扩展的。
