北京航空航天大学学报 ›› 2001, Vol. 27 ›› Issue (3): 325-327.

• 论文 • 上一篇    下一篇

血管的新应变能函数(Ⅰ)

王寿梅, 李宁, 徐明   

  1. 北京航空航天大学 飞行器设计与应用力学系
  • 收稿日期:2000-01-04 出版日期:2001-03-31 发布日期:2010-09-27
  • 作者简介:王寿梅(1936-),男,山东青岛人,教授,100083,北京.

New Strain Energy Functions of Blood Vessel (Ⅰ)

WANG Shou-mei, LI Ning, XU Ming   

  1. Beijing University of Aeronautics and Astronautics, Dept. of Flight Vehicle Design and Applied Mechanics
  • Received:2000-01-04 Online:2001-03-31 Published:2010-09-27

摘要: 首先提出并且验证了可被应用于大变形计算的描述血管非线性应力-应变关系的新的本构理论.其推导的数学基础是假设应力-应变关系可以用张量多项式来表示.通过对比可以发现,拟合结果与试验数据完全吻合,并且优于已有的指数形式的表达式.为降低Taylor展开式的次数,对级数进行了修正,并且针对不同的拟合过程和方法进行了讨论.

Abstract: Investigation of the consequence of large deformation of blood vessel due to change in transmural pressure is crucial to the understanding of vein graft or other surgical operations involving blood vessel. The paper proposes and verifies new constitutive laws describing nonlinear stress-strain relation of orthogonal anisotropic materials. It can be used for large deformation calculation of blood vessels in the bio-mechanics regime. The derivation of the constitutive law is pure mathematical reasoning based on only one assumption that the stress-strain relation takes a polynomial form. Application is made in a blood vessel test. The correlation between the proposed formula and experimental data is excellent and better than that of the existing exponential expressions

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