Buckling of Arteries With Noncircular Cross Sections: Theory and Finite Element Simulations.

Buckling of Arteries With Noncircular Cross Sections: Theory and Finite Element Simulations.
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具有非圆形横截面的动脉屈曲:理论和有限元模拟。

DOI:
10.3389/fphys.2021.712636
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发表时间:
2021
影响因子:
4
通讯作者:
Han HC
Han HC
中科院分区:
医学2区
文献类型:
--
作者:
Seddighi Y;Han HC

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血管的稳定性对维持正常的动脉功能至关重要,失去稳定性可能导致血管迂曲。以前的动脉屈曲理论模型是针对圆形血管模型开发的,但是动脉经常表现出几何变化,例如椭圆形和偏心横截面。本研究的目的是建立非圆形血管弯曲的理论基础(即,横向)屈曲,并使用有限元分析来模拟具有椭圆形和偏心横截面的动脉的屈曲行为。推导了非圆形血管的广义屈曲方程,并进行了有限元分析,模拟了动脉在管腔压力和轴向拉力作用下的屈曲行为。动脉壁被建模为具有超弹性各向异性和均匀材料的厚壁圆柱体。结果表明,椭圆形或偏心横截面增加了动脉的临界屈曲压力,椭圆形和偏心将进一步增强效果。我们的结论是横截面形状的变化影响动脉的临界压力。这些结果提高了对动脉机械稳定性的理解。
The stability of blood vessels is essential for maintaining the normal arterial function, and loss of stability may result in blood vessel tortuosity. The previous theoretical models of artery buckling were developed for circular vessel models, but arteries often demonstrate geometric variations such as elliptic and eccentric cross-sections. The objective of this study was to establish the theoretical foundation for noncircular blood vessel bent (i.e., lateral) buckling and simulate the buckling behavior of arteries with elliptic and eccentric cross-sections using finite element analysis. A generalized buckling equation for noncircular vessels was derived and finite element analysis was conducted to simulate the artery buckling behavior under lumen pressure and axial tension. The arterial wall was modeled as a thick-walled cylinder with hyper-elastic anisotropic and homogeneous material. The results demonstrated that oval or eccentric cross-section increases the critical buckling pressure of arteries and having both ovalness and eccentricity would further enhance the effect. We conclude that variations of the cross-sectional shape affect the critical pressure of arteries. These results improve the understanding of the mechanical stability of arteries.
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