软纤维组织的广义非弹性建模概念

Q1 Mathematics GAMM Mitteilungen Pub Date : 2019-05-14 DOI:10.1002/gamm.201900014
Markus Hillgärtner, Kevin Linka, Mikhail Itskov
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引用次数: 1

摘要

这一贡献提出了一种多尺度建模方法,从胶原原纤维和纤维间基质上的胶原蛋白的大分子行为到胶原纤维束。描述了两种损伤机制:基于三螺旋构象永久开放的原胶原分子内部的分子内损伤和限制纤维间滑动恢复的纤维间基质的损伤。分子内损伤和纤维间损伤都被认为是一个基于粘接键脱离的概率过程,其中失败的概率取决于键的全部载荷历史。所提出的建模概念是基于对大多数软纤维组织有效的广义假设,因此可以应用于各种组织和载荷情况。最后的本构方程与最近的大鼠尾腱单轴拉伸试验数据进行了验证。所有使用的材料常数都有明确的物理解释。
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A generalized inelastic modeling concept for soft fibrous tissues

This contribution proposes a multiscale modeling approach, ranging from the macromolecular behavior of tropocollagen over collagen fibrils and the interfibrillar matrix up to bundles of collagen fibers. Two damage mechanisms are described: intramolecular damage inside the tropocollagen molecules based on a permanent opening of the triple helical conformation and damage in the interfibrillar matrix restricting the recovery of interfibrillar sliding. Both intramolecular and interfibrillar damage is considered as a probabilistic process based on detachment of adhesive bonds, where the probability of failure depends on the full load history of the bond. The presented modeling concept is based on generalized assumptions valid for most soft fibrous tissues, and can therefore be applied for a variety of tissues and load-cases. The final constitutive equations are validated against recent experimental data from uniaxial tension tests of rat tail tendon. All utilized material constants have a clear physical interpretation.

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来源期刊
GAMM Mitteilungen
GAMM Mitteilungen Mathematics-Applied Mathematics
CiteScore
8.80
自引率
0.00%
发文量
23
期刊最新文献
Issue Information Regularizations of forward-backward parabolic PDEs Parallel two-scale finite element implementation of a system with varying microstructure Issue Information Low Mach number limit of a diffuse interface model for two-phase flows of compressible viscous fluids
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