An engineering tool to estimate eigenstresses in three-dimensional patient-specific arteries

An engineering tool to estimate eigenstresses in three-dimensional patient-specific arteries
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用于估计三维患者特定动脉固有应力的工程工具

DOI:
10.1016/j.cma.2016.03.020
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发表时间:
2016
影响因子:
7.2
通讯作者:
von Hoegen
von Hoegen
中科院分区:
工程技术1区
文献类型:
--
作者:
Schröder;von Hoegen

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在这一贡献中,我们提出了一种基于工程的方法来结合动脉中的特征应力分布。特征应力是已知的各种生物组织。在动脉壁的情况下,所谓的开口角实验经常被用来表征残余应变/应力。假设适当应力措施的跨壁应力分布应是光滑的,则直接从柯西应力估计残余应力张量。这些应力测量是以这样一种方式构建的,即充分尊重基本的生物生理特性,如由适当的结构张量考虑的纤维取向。为了在主干道上获得合理的特征应力分布,局部应力测量应接近空间扇形平均值。这些思想被嵌入到一种增量更新残余应力张量的算法中。理想的导管和从医学影像中得到的患者特定的退化动脉被用来证明所提出的程序的性能和估计打开的角度。
In this contribution we propose an engineering based approach to incorporate eigenstress distributions in arteries. Eigenstresses are known for a variety of biological tissues. In the case of arterial walls the so called opening angle experiment is frequently used to characterize the residual strains/stresses. Assuming that the transmural stress distribution of suitable stress measures should be smooth, a residual stress tensor is directly estimated from the Cauchy stresses. These stress measures are constructed in such a way that the basic biophysiological characteristics, like the fiber orientations which are taken into account by suitable structural tensors, are adequately respected. In order to achieve reasonable eigenstress distributions in the arteries the local stress measures should approach spatial-sector averaged values. These ideas are imbedded in an algorithm to update the residual stress tensor incrementally. An ideal tube and degenerated patient-specific arteries from medical imaging are used to demonstrate the performance of the proposed procedure and to estimate the opening angle.
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