Statistical approach for a continuum description of damage evolution in soft collagenous tissues

Statistical approach for a continuum description of damage evolution in soft collagenous tissues
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软胶原组织损伤演化连续描述的统计方法

DOI:
10.1016/j.cma.2014.04.011
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发表时间:
2014
影响因子:
7.2
通讯作者:
G.A. Holzapfel
G.A. Holzapfel
中科院分区:
工程技术1区
文献类型:
--
作者:
T. Schmidt;D. Balzani;G.A. Holzapfel

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我们提出了一种统计方法来描述动脉壁等软胶原组织的微观损伤演化。损害模型扩展了巴尔扎尼等人发表的框架。(2012),康普特。方法应用。机甲。工程,213-216:139-151,通过假设纤维的微观结构导致的特定损伤函数。考虑了蛋白多糖取向、纤维长度参数和最终蛋白多糖伸长率三个不同微观参数的统计分布。将得到的应力-拉伸响应与文献中给出的单轴拉伸试验的实验数据进行了比较。具体地说,分析了当软组织在超生理域中承受循环载荷时,关于它们捕捉到明显的软化滞后的能力的个体统计分布。给出了算法实现的细节,并通过模拟简化动脉粥样硬化动脉的过度扩张,说明了该模型在有限元框架内的适用性。
We propose a statistical approach to describe microscopic damage evolution in soft collagenous tissues such as arterial walls. The damage model extends a framework published by Balzani et al. (2012), Comput. Methods Appl. Mech. Engrg., 213–216:139–151, by postulating specific damage functions that result from the fibers’ microstructure. Statistical distributions of three different microscopic quantities such as proteoglycan orientation, fibril length parameters and ultimate proteoglycan stretch are considered. The resulting stress–stretch response is compared with experimental data obtained from uniaxial tension tests given in the literature. In particular, the individual statistical distributions are analyzed in regard to their ability to capture the distinct softening hysteresis observed when subjecting soft tissues to cyclic loading in the supra-physiological domain. Details regarding the algorithmic implementation are provided, and the applicability of the model within a finite element framework is shown by simulating the overexpansion of simplified atherosclerotic arteries.
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