Simulation of discontinuous damage incorporating residual stresses in circumferentially overstretched atherosclerotic arteries
Simulation of discontinuous damage incorporating residual stresses in circumferentially overstretched atherosclerotic arteries
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DOI：
10.1016/j.actbio.2006.06.005
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发表时间：
2006-11-01
影响因子：
9.7
通讯作者：
Gross, D.
中科院分区：
文献类型：
--
作者：
Balzani, D.;Schroeder, J.;Gross, D.
当进行球囊血管成形术时，动脉壁被过度拉伸并因此受损，这导致动脉层的硬度降低。能够反映过度拉伸的动脉壁主要损伤机制的各向异性损伤模型与多凸超弹性存储能量函数结合使用。此外，还应用了一种合并空载结构壁中存在的残余应力的方法。该能量描述了生理条件下动脉的各向异性超弹性行为。由于假设胶原微原纤维之间的跨桥断裂是造成动脉壁内部损伤的原因，因此损伤函数仅应用于与纤维弹性相关的那部分能量。为了将残余应力纳入模拟中，我们采用了一种由两个模拟步骤组成的方法。最后，考虑残余应力，对简化的动脉粥样硬化动脉过度拉伸进行数值模拟。 (c) 2006 Acta Materialia Inc. 由 Elsevier Ltd 出版。保留所有权利。
When a balloon-angioplasty is performed, the arterial wall is overstretched and thereby damaged, which leads to a stiffness reduction in the arterial layers. An anisotropic damage model able to reflect the main damage mechanisms in overstretched arterial walls is used in combination with a polyconvex hyperelastic stored energy function. Furthermore, a method for the incorporation of residual stresses present in the wall of unloaded configurations is applied. The energy describes the anisotropic hyperelastic behavior of arteries under physiological conditions. Due to the assumption that the rupture of cross-bridges between collageneous micro-fibrils is responsible for the damage inside arterial walls, the damage function is applied to that part of the energy only which is associated to the fiber elasticity. For the incorporation of the residual stresses into the simulation, we apply a method which consists of two simulation steps. Finally, a numerical simulation of the overstretching of a simplified atherosclerotic artery is performed taking into account residual stresses. (c) 2006 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.