Xu Wenxiang, Duan Qinglin, Ma Huaifa, Chen Wen, Chen Huisu
Institute of Soft Matter Mechanics, College of Mechanics and Materials, Hohai University, Nanjing, China.
State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, China.
Sci Rep. 2015 Nov 2;5:16003. doi: 10.1038/srep16003.
Interfaces are known to be crucial in a variety of fields and the interfacial volume fraction dramatically affects physical properties of composite media. However, it is an open problem with great significance how to determine the interfacial property in composite media with inclusions of complex geometry. By the stereological theory and the nearest-surface distribution functions, we first propose a theoretical framework to symmetrically present the interfacial volume fraction. In order to verify the interesting generalization, we simulate three-phase composite media by employing hard-core-soft-shell structures composed of hard mono-/polydisperse non-spherical particles, soft interfaces, and matrix. We numerically derive the interfacial volume fraction by a Monte Carlo integration scheme. With the theoretical and numerical results, we find that the interfacial volume fraction is strongly dependent on the so-called geometric size factor and sphericity characterizing the geometric shape in spite of anisotropic particle types. As a significant interfacial property, the present theoretical contribution can be further drawn into predicting the effective transport properties of composite materials.
界面在各个领域都至关重要，界面体积分数会显著影响复合介质的物理性质。然而，对于如何确定具有复杂几何形状内含物的复合介质中的界面性质，这是一个具有重大意义的开放性问题。通过体视学理论和最近表面分布函数，我们首先提出一个理论框架来对称地表示界面体积分数。为了验证这一有趣的推广，我们采用由硬单分散/多分散非球形颗粒、软界面和基体组成的硬核-软壳结构来模拟三相复合介质。我们通过蒙特卡罗积分方案数值推导界面体积分数。结合理论和数值结果，我们发现尽管颗粒类型各向异性，但界面体积分数强烈依赖于所谓的几何尺寸因子和表征几何形状的球形度。作为一个重要的界面性质，目前的理论贡献可进一步用于预测复合材料的有效传输性质。
