New Strain Energy Functions of Blood Vessel (Ⅱ)
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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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Key words:
- biomechanics /
- strain energy /
- constitutive relation
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