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Elastic properties of particle-reinforced composites containing nonspherical particles of high packing density and interphase: DEM-FEM simulation and micromechanical theory

机译:包含高堆积密度和相间非球形颗粒的颗粒增强复合材料的弹性性能:DEM-FEM模拟和微机械理论

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The physical and morphological properties of particles and interfaces can seriously impact the whole mechanical behavior of particle-reinforced composites. In this work, we devise a robust coupling model of the discrete element method (DEM) and the finite element method (FEM) to numerically investigate the effective elastic moduli of particle-reinforced composites consisting of elliptical particles of high packing density, compliant interfaces and homogeneous matrix. In the numerical model, a novel parametric equation for the topological geometry of an interface that is treated as an interphase model is formulated to realize a compliant (penetrable) layer with a constant finite thickness coated surrounding each elliptical particle. Additionally, a convenient strategy is implemented to cope with periodic boundary conditions containing numerous particles. On the other hand, we also propose a micromechanical theoretical framework to derive the effective elastic properties of such three-phase composites by incorporating the fraction of compliant interfaces that is theoretically computed by using the statistical geometry of composites. It is shown that our numerical and theoretical models lead to the prediction of elastic moduli of particle-reinforced composites with nonspherical particles of high packing density to a reasonable accuracy by comparing with available experimental data. Moreover, utilizing the proposed models, we systematically investigate the influence of the characteristics of particles and interphase such as the high packing density and geometries of elliptical particles, and interphase fraction, thickness and stiffness on the elastic moduli of particle-reinforced composites. We find that these physical characteristics play significant roles in determining the mechanical behavior of composites, suggesting that the properties of such materials can be tailored via proper composites engineering and design. (C) 2017 Elsevier B.V. All rights reserved.
机译:颗粒和界面的物理和形态特性会严重影响颗粒增强复合材料的整体机械性能。在这项工作中,我们设计了一种离散元方法(DEM)和有限元方法(FEM)的鲁棒耦合模型,以数值研究包含高堆积密度的椭圆形颗粒,顺应性界面和颗粒的颗粒增强复合材料的有效弹性模量。齐次矩阵在数值模型中,针对界面的拓扑几何结构拟定了一个新的参数方程,该参数方程被视为相间模型,以实现在每个椭圆形粒子周围涂覆有恒定有限厚度的柔顺(可穿透)层。另外,实施了一种方便的策略来应对包含大量粒子的周期性边界条件。另一方面,我们还提出了一种微机械的理论框架,通过结合使用复合材料的统计几何学理论计算出的顺应性界面分数,来推导此类三相复合材料的有效弹性性能。结果表明,通过与现有的实验数据进行比较,我们的数值模型和理论模型可以预测具有高堆积密度的非球形颗粒的颗粒增强复合材料的弹性模量,并具有合理的精度。此外,利用提出的模型,我们系统地研究了颗粒和相间特征(例如高堆积密度和椭圆形颗粒的几何形状以及相间分数,厚度和刚度)对颗粒增强复合材料弹性模量的影响。我们发现这些物理特性在确定复合材料的机械性能方面起着重要作用,这表明可以通过适当的复合材料工程和设计来定制此类材料的性能。 (C)2017 Elsevier B.V.保留所有权利。

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