血管支架随机均匀性扩展问题的模型和应用  

MODEL AND APPLICATION OF UNIFORMITY EXPANSION IN RANDOMIZED STRUCTURE OF INTRAVASCULAR STENT

作　　者：杨杰[1] 黄楠[2] 杜全兴[3] 

机构地区：[1]西南交通大学应用力学与工程系,成都610031 [2]西南交通大学材料与工程学院,成都610031 [3]西南交通大学机械工程学院,成都610031

出　　处：《力学学报》2008年第1期79-85,共7页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家“973”资助项目(2005CB623904)．~~

摘　　要：从力学上提出了随机失稳结构串联扩展的均匀性问题,建立了描述该问题的数学模型,提出了均匀性指标概念和该指标的概率计算公式和方法.针对两个扩展单元构成的串联结构,详细考察了筋厚度发生随机时对于扩展均匀性指标的影响,得到均匀性指标概率与筋厚度随机范围、载荷和强化系数等的变化关系.研究发现当总扩展位移一定的情况下,强化系数的改变对于均匀性有重大影响.The expansion of intravascular stent may be considered as an extension in instable serial structures from the viewpoint of mechanics. The randomization of width and thickness of a stent will hare great influence on the uniformity expansion in the instable serial structure. In this paper, a mathematical model to describe that problem is established on the basis of the randomized unstable serial structure. The concept, method and probability calculation formula of uniformity index are proposed. Regarding the serial structure made up of two expanded units, a detailed study is carried out on the influence of the random variation of beam thickness on expansion uniformity indexes. We obtain the uniformity index probability＇s relationships with beam thickness random variation, load variation and hardening coefScient variation. The research shows that material harding coefficient has great effects on uniformity index when the total expansion displacement remains constant. The serial expansion theory of the random unstable structure provides an important guide to the design of new-type intravascular stent.

关 键 词：血管支架 均匀性 随机 失稳 串联 

分 类 号：R318.01[医药卫生—生物医学工程] R318.11[医药卫生—基础医学]