AN ANALYTICAL MODEL OF JOINT CONTACT
AN ANALYTICAL MODEL OF JOINT CONTACT
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DOI：
10.1115/1.2891204
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发表时间：
1990-11-01
影响因子：
1.7
通讯作者：
VITHOONTIEN, V
中科院分区：
文献类型：
--
作者：
EBERHARDT, AW;KEER, LM;VITHOONTIEN, V
利用分析模型模拟铰接关节的接触，确定了层状弹性球和层状弹性腔之间接触区域的应力分布。目的是使用该解决方案来分析软骨厚度和刚度、骨刚度和关节曲率对所得应力场的影响，并调查由于拉伸和剪切应力而导致材料开裂的可能性。在骨关节炎关节中观察到软骨的垂直开裂以及在软骨-钙化软骨界面处的水平分裂。目前的结果表明，对于给定的系统（材料性质μ m），和. nu.常数）时，应力分布是接触半径与层厚度之比（a/h）的函数，并且虽然仅当a/h小时才出现拉伸应力，但对于所有a/h值都观察到拉伸应变。在软骨-骨界面处观察到显著的剪切应力。软骨软化导致a/h增加，最大法向应力降低。角质层变薄增加a/h和最大接触应力，而增厚具有相反的效果。压入半径的减小减小了a/h，并增加了最大法向应力。骨软化被认为对所得接触参数和应力分布的影响可以忽略不计。
The stress distribution in the region of contact between a layered elastic sphere and a layered elastic cavity is determined using an analytical model to simulate contact of articulating joints. The purpose is to use the solution to analyze the effects of cartilage thickness and stiffness, bone stiffness and joint curvature on the resulting stress field, and investigate the possibility of cracking of the material due to tensile and shear stresses. Vertical cracking of cartilage as well as horizontal splitting at the cartilage-calcified cartilage interface has been observed in osteoarthritic joints. The current results indicate that for a given system (material properties .mu. and .nu. constant), the stress distribution is a function of the ratio of contact radius to layer thickness (a/h), and while tensile stresses are seen to occur only when a/h is small, tensile strain is observed for all a/h values. Significant shear stresses are observed at the cartilage-bone interface. Softening of cartilage results in an increase in a/h, and a decrease in maximum normal stress. Cartilage thinning increases a/h and the maximum contact stress, while thickening has the opposite effect. A reduction in the indenting radius reduces a/h and increases the maximum normal stress. Bone softening is seen to have negligible effect on the resulting contact parameters and stress distribution.