A statistical interphase damage model of random particulate composites
A statistical interphase damage model of random particulate composites
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DOI：
10.1016/j.ijplas.2018.12.011
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发表时间：
2019-05
影响因子：
9.8
通讯作者：
L. Nazarenko;H. Stolarski;H. Altenbach
中科院分区：
文献类型：
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作者：
L. Nazarenko;H. Stolarski;H. Altenbach
提出了一种模拟随机颗粒复合材料界面渐进损伤的新方法。在该模型中，界面由弹簧层表示，其刚度参数随着加载的逐渐增加而变化。因此，由于界面的局部退化，这些参数在非均匀表面上的变化逐渐变得不均匀。这反过来又导致复合材料的有效性能变得越来越各向异性。为了描述相间损伤对复合材料整体性能的影响，本文采用了笔者过去提出的三个观点。一种是条件矩法（MCM），这是一种过去发展起来的统计均匀化技术，用于分析无界面随机复合材料的有效性质。第二种思想是最近引入的能量等效非均匀性（EEI）概念，它用均匀非均匀性取代了原来的非均匀性及其界面；EEI的概念允许设计用于检查没有界面相的组合（如MCM）的方法来分析有界面相的组合。在本研究中，最重要和最新颖的应用是关于统计相间损伤模型的第三个想法。在本文提出的方法中，界面局部微损伤是通过在不均匀复合材料周围的弹簧层中随机分布的破坏弹簧的增加比例来模拟的。该模型假设不同非均匀性表面上由同一球坐标表示的点处的局部相间微强度用一点威布尔分布函数描述。考虑到问题的强非线性，在实际的有效性质评估中采用增量/迭代格式。该方法考虑了复合材料的单向和三轴拉伸。
A new approach to modeling of progressive damage of interphases in random particulate composites is proposed. In the model the interphases are represented by layers of springs whose stiffness parameters change as a result of damage associated with gradually increasing loading. Consequently, due to local degradation of the interphase, variation of these parameters over the inhomogeneity surface becomes progressively non-uniform. This, in turn, causes the effective properties of the composite to become increasingly anisotropic. To describe the effects of interphase damage on the overall properties of the composite three ideas proposed in the past with the authors’ participation are utilized. One is the Method of Conditional Moments (MCM), a statistical homogenization technique developed in the past to analyze the effective properties of random composites without interphases. The second idea is the recently introduced notion of Energy Equivalent Inhomogeneity (EEI), which replaces the original inhomogeneities and their interphases with uniform inhomogeneities; the notion of EEI allows methods devised to examine composites without interphases (such as MCM) to analyze composites with interphases. The most important, and novel in application to problems considered in this work, is the third idea concerning the statistical interphase damage model. In the proposed approach local micro-damage of interphases is modelled by an increasing fraction of randomly distributed destructed springs in the spring layers surrounding the inhomogeneities of the composite. The model assumes that the local interphase micro-strength at the points located on the surface of different inhomogeneities and specified by the same spherical coordinates is described by one-point Weibull distribution function. In view of the strong nonlinearity of the problem, an incremental/iterative scheme is used in practical evaluation of effective properties. The approach is illustrated considering unidirectional and triaxial stretching of a composite.