动脉血管组织的超弹性模型与应力-应变关系

为了研究血管的超弹性能,建立了动脉血管的2种各向同性超弹性材料模型．应用三维有限元方法对血管的双向拉伸实验进行模拟计算,通过与实验结果比较证明,在一定变形范围内,血管为各向同性超弹性材料,它的应力-应变关系可以用这2种模型表示,在不同的变形范围内,血管内各类纤维的走向和性能决定血管的宏观力学性能．

The Hyperelastic Model and Stress-strain Relation of Artery

In order to study the hyperelastic properties of the artery, this paper established two kinds of isotropic hyperelastic models of artery. The stress-strain relations of the artery under biaxial loadings were simulated by using 3D finite element method. It is shown that in certain range of deformation, the stressstrain relations of isotropic artery can exactly be expressed by the present two models. It is also concluded that the orientations and properties of blended fibers in the artery walls contribute to the macro-properties of the artery.