Purpose

It is well known that a sliced ring of arterial wall opens by a radial cut. An axial strip sectioned from arterial wall also curls into an arc. These phenomena imply that there exist residual strains in the circumferential and axial directions. How much do the axial residual strains affect the stress distributions of arterial wall? The aim of the present study is to know stress distributions of arterial wall with the residual strains under the passive and constricted conditions.

Methods

We analyzed the stress distributions under passive and constricted conditions with considering a Riemannian stress-free configuration. In the analysis, we used strain energy functions to describe the passive and active mechanical properties of artery.

Results

The present study provided distributions of stretch ratio with reference to the stress-free state (Riemannian stress-free configuration) and stress with and without the curl of axial strip of a homogenous cylindrical arterial model under the passive and constricted smooth muscle conditions. The circumferential and axial stresses with activated smooth muscle (noradrenaline 10⁻⁵ M) at the intraluminal pressure 16 kPa and the axial stretch ratio 1.5 with reference to the unloaded vessel decreased by 3.5 and 13.8% at the inner surface with considering the axial residual strain, respectively.

Conclusions

We have shown that the Riemannian stress-free configuration is appropriate tool to analyze stress distributions of arterial wall under passive and activated conditions with the residual stresses.

中文翻译：

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三维血管收缩力学解释了从血管壁切开的轴向条的卷曲。

目的

众所周知，切成薄片的动脉壁环通过径向切开而打开。从动脉壁切开的轴向条也卷曲成弧形。这些现象暗示在周向和轴向上存在残余应变。轴向残余应变在多大程度上影响动脉壁的应力分布？本研究的目的是了解在被动和狭窄条件下具有残余应变的动脉壁的应力分布。

方法

我们考虑了无黎曼应力配置，分析了在被动和受限条件下的应力分布。在分析中，我们使用应变能函数来描述动脉的被动和主动机械性能。

结果

本研究提供了在无源和受限制的平滑肌条件下，均质圆柱状动脉模型的无应力状态（黎曼无应力配置）和有无柱状轴向条带弯曲的应力的拉伸比分布。 考虑到轴向残余应变，在腔内压力为16 kPa时，激活的平滑肌（去甲肾上腺素10 ^-5 M）的圆周应力和轴向应力（相对于无血管的轴向拉伸比1.5）在内表面降低了3.5和13.8％。 ， 分别。

结论

我们已经表明，黎曼无应力配置是分析被动和激活条件下具有残余应力的动脉壁应力分布的合适工具。