Constitutive framework for the modeling of damage in collagenous soft tissues with application to arterial walls
Constitutive framework for the modeling of damage in collagenous soft tissues with application to arterial walls
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DOI：
10.1016/j.cma.2011.11.015
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发表时间：
2012-01-01
影响因子：
7.2
通讯作者：
Holzapfel, Gerhard A.
中科院分区：
文献类型：
--
作者：
Balzani, Daniel;Brinkhues, Sarah;Holzapfel, Gerhard A.
本文提出了一种新的材料模型，用于描述胶原软组织（如动脉壁）在超出生理水平的施加载荷下的循环拉伸试验中观察到的应力软化。建模框架使用了连续损伤力学中的术语和内部变量的概念，引入了用于表示纤维损伤的标量值变量。给出了一种能够反映增强胶原纤维家族微观损伤所导致的残余应变的损伤模型的构建原则。特定的内部变量被定义为能够捕获动脉组织的性质，在生理负荷域中不发生损伤。应用这一原理，推导出了具体的模型，并对实验数据进行了拟合。最后，通过分析具有代表性的动脉截面损伤分布实例，说明了该方法在数值模拟中的适用性。(C) 2011 Elsevier B.V.版权所有
In this paper a new material model is proposed for the description of stress-softening observed in cyclic tension tests of collagenous soft tissues such as arterial walls, for applied loads beyond the physiological level. The modeling framework makes use of terms known from continuum damage mechanics and the concept of internal variables introducing a scalar-valued variable for the representation of fiber damage. A principle is given for the construction of damage models able to reflect remanent strains as a result of microscopic damage in the reinforcing collagen fiber families. Particular internal variables are defined able to capture the nature of arterial tissues that no damage occurs in the physiological loading domain. By application of this principle, specific models are derived and fitted to experimental data. Finally, their applicability in numerical simulations is shown by some representative examples where the damage distribution in arterial cross-sections is analyzed. (C) 2011 Elsevier B.V. All rights reserved.