Relaxed incremental variational approach for the modeling of damage-induced stress hysteresis in arterial walls.
Relaxed incremental variational approach for the modeling of damage-induced stress hysteresis in arterial walls.
复制标题
用于动脉壁损伤引起的应力滞后建模的宽松增量变分法
DOI：
10.1016/j.jmbbm.2015.08.005
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发表时间：
2016
影响因子：
3.9
通讯作者：
D. Balzani
中科院分区：
文献类型：
--
作者：
T. Schmidt;D. Balzani
在本文中，提出了一种三维松弛增量变分损伤模型，该模型能够描述在超生理负荷动脉组织中观察到的复杂软化滞后，从而避免了基础公式的凸性损失。所提出的模型扩展了 Balzani 和 Ortiz [2012] 的宽松公式。针对大应变损伤的宽松增量变分公式，适用于纤维增强材料和具有桁架状微结构的材料。国际。 J. 数字。方法工程。 92, 551–570]，这样就可以描述循环负荷下动脉组织中观察到的典型应力滞后。这主要是通过构建一个修正的一维模型来实现的，该模型考虑了单个纤维方向的循环载荷，并考虑纤维取向分布函数对响应进行数值均匀化。基于进化算法，提出了一种用于识别凸化应力势的新解决方案策略，与仅基于牛顿的优化方案相比，该策略提高了鲁棒性。为了能够有效地调整新模型以适应实验观察到的软化滞后，提出了一种使用替代模型的调整方案。由此，将松弛的制剂调整为人颈动脉中膜和外膜的超生理领域的实验数据。然后在过度拉伸动脉的有限元示例中演示该模型的性能。尽管这里考虑了三维厚壁动脉粥样硬化动脉，但要强调的是，该公式也可以直接应用于使用壳单元或其他纤维增强生物膜的动脉薄壁模拟。
In this paper, a three-dimensional relaxed incremental variational damage model is proposed, which enables the description of complex softening hysteresis as observed in supra-physiologically loaded arterial tissues, and which thereby avoids a loss of convexity of the underlying formulation. The proposed model extends the relaxed formulation of Balzani and Ortiz [2012. Relaxed incremental variational formulation for damage at large strains with application to fiber-reinforced materials and materials with truss-like microstructures. Int. J. Numer. Methods Eng. 92, 551–570], such that the typical stress-hysteresis observed in arterial tissues under cyclic loading can be described. This is mainly achieved by constructing a modified one-dimensional model accounting for cyclic loading in the individual fiber direction and numerically homogenizing the response taking into account a fiber orientation distribution function. A new solution strategy for the identification of the convexified stress potential is proposed based on an evolutionary algorithm which leads to an improved robustness compared to solely Newton-based optimization schemes. In order to enable an efficient adjustment of the new model to experimentally observed softening hysteresis, an adjustment scheme using a surrogate model is proposed. Therewith, the relaxed formulation is adjusted to experimental data in the supra-physiological domain of the media and adventitia of a human carotid artery. The performance of the model is then demonstrated in a finite element example of an overstretched artery. Although here three-dimensional thick-walled atherosclerotic arteries are considered, it is emphasized that the formulation can also directly be applied to thin-walled simulations of arteries using shell elements or other fiber-reinforced biomembranes.
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DOI：
--
发表时间：
2011
期刊：
影响因子：
--
作者：
E. Gürses;C. Miehé
通讯作者：
C. Miehé
影响因子：
9.7
作者：
Balzani, D.;Schroeder, J.;Gross, D.
通讯作者：
Gross, D.
影响因子：
2.4
作者：
Pena, Estefania;Doblare, Manuel
通讯作者：
Doblare, Manuel
应用于动脉的软各向异性材料的建模失效。
DOI：
10.1016/j.jmbbm.2011.01.002
发表时间：
2011
影响因子：
3.9
作者：
K. Volokh
通讯作者：
K. Volokh
分子间相互作用对胶原纤维弹性损伤力学的影响：宏观组织建模的自下而上方法
DOI：
--
发表时间：
2014
期刊：
影响因子：
--
作者：
M. Marino;G. Vairo
通讯作者：
G. Vairo