DISTRIBUTION OF STRESSES AND OF STRAIN-ENERGY DENSITY THROUGH WALL THICKNESS IN A CANINE AORTIC SEGMENT
DISTRIBUTION OF STRESSES AND OF STRAIN-ENERGY DENSITY THROUGH WALL THICKNESS IN A CANINE AORTIC SEGMENT
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DOI：
10.1161/01.res.32.5.577
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发表时间：
1973-01-01
影响因子：
20.1
通讯作者：
PATEL, DJ
中科院分区：
文献类型：
--
作者：
VAISHNAV, RN;YOUNG, JT;PATEL, DJ
在本文中，我们提出了一种确定生理负荷下犬主动脉段的周向（Sθ）、纵向（Sz）和径向（Sr）应力以及应变能密度（W）分布的方法。对 13 只狗的主动脉段进行了体外研究。腔内压力和纵向力分别在 25 至 200 cm H2O 和 0 至 100 g 范围内变化，并在每个步骤测量外半径和节段长度。基于不可压缩性和曲线正交各向异性假设的主动脉组织大变形非线性理论被应用于数据。理论的 3、7 或 12 个本构常数是在不使用通常的薄壁假设的情况下计算的。然后使用这些常数来计算应力和 W 的分布。结果表明，(I)Sθ、Sz、Sr 和 W 在内皮表面幅度最大，向外膜表面减小，(2) 减小在血管壁内三分之一处最明显，(3) 一般而言，Sθ>Sz>W>Sr，(4) 在给定的纵向拉伸下，管腔内压力的增加增加了 Sθ、Sz、|Sr| 和 W，其中对 Sθ 的影响最明显。
In this paper we presented a method for determining the distribution of circumferential (Sθ), longitudinal (Sz), and radial (Sr) stress and of strain-energy density (W) in canine aortic segments under physiological loading. Aortic segments from 13 dogs were studied in vitro. Intraluminal pressure and longitudinal force were varied over ranges of 25 to 200 cm H2O and 0 to 100 g, respectively, and the external radius and the segment length were measured at each step. A nonlinear theory of large deformation of the aortic tissue based on the assumptions of incompressibility and curvilinear orthotropy was applied to the data. The 3, 7, or 12 constitutive constants of the theory were calculated without using the usual thin-wall assumption. These constants were then used to calculate the distribution of stresses and ofW. The results indicated that (I)Sθ,Sz,Sr, andWwere largest in magnitude at the endothelial surface and decreased toward the adventitial surface, (2) the decrease was most marked in the inner third of the vessel wall, (3) in generalSθ>Sz>W>Sr, and (4) at a given longitudinal stretch an increase in intraluminal pressure increasedSθ,Sz, |Sr|, andW, with the effect being most marked onSθ.