中文摘要：

目的求解血管残余应力，为采用有限元方法研究血管应力的变化提供生物力学基础。方法采用弹性力学半逆解法得到血管的残余应力分布，与通过有限元软件ABAQUS模拟得到血管残余应力的分布进行对比，并在此基础上考虑支架置人的作用，比较残余应力对血管在体应力状态的影响。结果采用这两种方法得到的血管的3个正应力分量应力分布较为一致。残余应力的存在使血管的应力分布发生了变化，血管的最大应力由血管内壁转移到外壁处。结论在假定血管材料均质和各向同性的情况下，经典弹性力学半逆解法与有限元方法得到的残余应力结果有着较好的一致性；考虑残余应力的血管在体的应力分布与不考虑血管残余应力时有较大差异，血管内壁处应力降低明显。考虑血管的残余应力有助于更好地了解置入支架后血管真实的应力状态，从而为支架的优化设计提供参考。

英文摘要：

Objective To study distributions of the residual stresses on blood vessel, and to provide the biomechanical basis for the finite element research on stress changes in blood vessel. Methods The semiinverse method was used for getting distributions of residual stresses on blood vessel and the result was compared with that from Commercial Software ABAQUS. On that basis, the interaction between the vessel and implanted stent was simulated to get the influence of residual stress on blood vessel. Results Distributions of three normal stres ses on blood vessel obtained from the two methods were almost consistent. It is the residual stress that led to the change of vessel stress distributions, and the position of maximal stress was transformed from the inside to the outside of the vessel. Conclusions Assuming that the vessel has homogeneity and isotropic, both the semiin verse method and the finite element method would get the similar residual stress distributions; significant differ ences existed between the stress states of vessel with or without considering residual stress. The stress at the in side of vessel was reduced obviously. Consideration of residual stress will be helpful for understanding the real stress state of vessel after stent deployment and providing references for the optimization design of stent.