How the nonlocal interaction effects of particle-reinforced polymer composites manifest themselves from their underlying microstructure is not fully understood, thus greatly limiting the ability to model their mechanical properties. This paper explores the nonlocal interaction mechanisms of particle-reinforced polymer composites and unveils that both the nonlocal interaction effects between particles and the nonlocal effects of natural discrete polymer chains play an important role in particle-reinforced polymer composites. Then, a physics-based nonlocal continuum theory capable of capturing these two complex nonlocal effects is proposed based on the Eshelby equivalent inclusion method, the Mori–Tanaka model, and the interpenetrating network model. The proposed physics-based nonlocal continuum theory provides a rigorous methodology for developing physically consistent nonlocal homogenization models of particle-reinforced polymer composites and their composite structures. The results show that the two nonlocal effects play a role in stiffness softening in the mechanical behavior of particle-reinforced polymer composites, and the nonlocal mechanical behavior predicted by the developed nonlocal homogenization model is highly consistent with the existing experimental data.

中文翻译：

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基于物理学的粒子增强聚合物复合材料非局域理论


颗粒增强聚合物复合材料的非局部相互作用效应如何从其底层微观结构中表现出来尚不完全清楚，因此极大地限制了对其机械性能进行建模的能力。本文探讨了颗粒增强聚合物复合材料的非局部相互作用机制，并揭示了颗粒之间的非局部相互作用效应和天然离散聚合物链的非局部效应在颗粒增强聚合物复合材料中都起着重要作用。然后，基于 Eshelby 等效包含法、Mori-Tanaka 模型和互穿网络模型，提出了一种能够捕获这两种复杂非局部效应的基于物理的非局部连续体理论。所提出的基于物理的非局部连续体理论为开发颗粒增强聚合物复合材料及其复合结构的物理一致性非局部均质化模型提供了一种严格的方法。结果表明，两种非局部效应在颗粒增强聚合物复合材料的力学行为中起着刚度软化的作用，所建立的非局部均质化模型预测的非局部力学行为与现有实验数据高度吻合。