A novel scheme for the approximation of residual stresses in arterial walls
A novel scheme for the approximation of residual stresses in arterial walls
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DOI：
10.1007/s00419-014-0838-x
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发表时间：
2014-06-01
影响因子：
2.8
通讯作者：
Brinkhues, Sarah
中科院分区：
文献类型：
--
作者：
Schroeder, Joerg;Brinkhues, Sarah
在这方面的贡献，提出了一种新的方法在人体动脉的残余应力建模。各种贡献的起点是作为纵向切割的结果的动脉的截面的张开角。与此相反，我们直接关注动脉壁内的当前应力状态。为了更精确，我们分析了合适的不变应力测量在动脉壁厚度方向上的梯度。作为一个基本的优化标准，我们假设这些梯度必须以适当的方式在各个层的内部和外部边缘之间进行平滑。为了做到这一点，我们为中膜和外膜定义了合适的径向截面，其中必须独立地执行该条件。所提出的模型的效率证明了通过患者特定的横截面的病变动脉在二维模拟。
In this contribution, a novel approach for the modeling of residual stresses in human arteries is proposed. The starting point in a variety of contributions is the opening angle of the section of an artery as a consequence of a longitudinal cut. In contrast to this, we focus directly on the current stress state within the arterial wall. To be more precise, we analyze the gradients of suitable invariant stress measures in thickness direction of the arterial wall. As an underlying optimization criterion, we assume that these gradients have to be smoothed between their inner and outer margins of the individual layers in an appropriate way. In order to do this, we define suitable radial sections for the media and adventitia, where this condition has to be enforced independently. The efficiency of the proposed model is demonstrated by means of a patient-specific cross section of a diseased artery in a two-dimensional simulation.