考虑切向位移的椭圆接触区双相软骨层单侧接触问题分析
Analysis of the unilateral contact problem for biphasic cartilage layers with an elliptic contact zone and accounting for the tangential displacements
摘要：
在双相软骨模型的框架下，考虑了椭圆抛物面形软骨下骨的关节软骨层的三维单侧接触问题。该研究的主要新颖之处在于不仅考虑了接触面的法向（垂直）位移，而且考虑了接触面的切向垂直（水平）位移。建立了接触方式与接触压力（包括接触力）的某些积分特性之间的精确的一般关系。根据接触方法和接触区的某些积分特征，得到了接触压力积分特征的渐近表达式。主要结果是由一阶近似问题。
英文摘要：
A three-dimensional unilateral contact problem for articular cartilage layers attached to subchondral bones shaped as elliptic paraboloids is considered in the framework of the biphasic cartilage model. The main novelty of the study is in accounting not only for the normal (vertical), but also for tangential vertical (horisontal) displacements of the contacting surfaces. Exact general relationships have been established between the contact approach and some integral characteristics of the contact pressure, including the contact force. Asymptotic representations for the contact pressure integral characteristics are obtained in terms of the contact approach and some integral characteristics of the contact zone. The main result is represented by the first-order approximation problem.
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