狭窄血管处管壁的变形与应力分析

该文根据血液流动连续性方程、运动方程及血管壁弹性力学方程，通过边界条件的耦合，在给定了血压波形函数的基础上，假设堵塞斑块与血管壁弹性性质相同时，求解了狭窄血管管壁的径向位移及环向应力；分析了不同狭窄程度对血管壁变形及应力的影响；给出了不同狭窄状态下，血管植入支架所需的支撑力，从而计算出植入支架后血管壁的径向位移及应力状态。该文的研究结果可为临床上对狭窄血管植入支架的变形与受力分析提供参考。

DEFORMATION AND STRESS ANALYSIS OF STENOSED VESSELS

In this paper radial displacement and hoop stress of stenosed vessels are calculated based on the blood continuity equation, the blood motion equation, supposing that the blocking plaques and vessel wall are the same in their elastic properties, the vessel motion equation and the assumed blood pressure waveform function. The influence of the vessel stenosis’s variation on the deformation and stress of vessels is analyzed. The supporting forces of the stents implanted in vessels under different stenosis’s situation, and the corresponding radial displacement and hoop stress of vessels are obtained. The results in this paper can be adopted as a reference for the deformation and stress analysis of the stents implanted in stenosed vessels.