北京航空航天大学学报 ›› 2001, Vol. 27 ›› Issue (3): 328-331.

• 论文 • 上一篇    下一篇

血管的新应变能函数(Ⅱ)

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 (Ⅱ)

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: 用多项式表示高度非线性的本构关系时,多项式中往往含有很多高阶项,而要获得与这些高阶项对应的材料常数, 存在许多困难.为降低多项式的次数,应在多项式中加入修正项.对Taylor展开式进行修正的方法,以及在曲线拟合过程中需要使用的技巧有许多值得探讨之处.

Abstract: The first part of this paper proposed and verified new constitutive laws describing nonlinear stress-strain relation of blood vessel. It can be used for large deformation calculation of blood vessels in the biomechanics regime. The correlation between the proposed formula and experimental data is excellent and better than that of the existing exponential expressions. But when the material is high nonlinear, the Taylor expansion may have too many terms. It's very difficult to get the material constants corresponding to those terms. So a correct term is added in this part to decrease the number of the terms.

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