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首页> 外文期刊>International journal of non-linear mechanics >Homogenization of time-dependent dielectric composites containing space charges, with applications to polymer nanoparticulate composites
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Homogenization of time-dependent dielectric composites containing space charges, with applications to polymer nanoparticulate composites

机译：含空间电荷的时变介电复合材料的均质化及其在聚合物纳米颗粒复合材料中的应用

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This paper presents the derivation of the homogenized equations for the macroscopic response of time-dependent dielectric composites that contain space charges varying spatially at the length scale of the microstructure and that are subjected to alternating electric fields. The focus is on dielectrics with periodic microstructures and two fairly general classes of space charges: passive (or fixed) and active (or locally mobile). With help of a standard change of variables, in spite of the presence of space charges, the derivation amounts to transcribing a previous two-scale-expansion result introduced in Lefevre and Lopez-Pamies (2017a) for perfect dielectrics to the realm of complex frequency-dependent dielectrics. With the objectives of illustrating their use and of showcasing their ability to describe and explain the macroscopic response of emerging materials featuring extreme dielectric behaviors, the derived homogenization results are deployed to examine dielectric spectroscopy experiments on various polymer nanoparticulate composites. It is found that so long as space charges are accounted for, the proposed theoretical results are able to describe and explain all the experimental results. By the same token, more generally, these representative comparisons with experiments point to the manipulation of space charges at small length scales as a promising strategy for the design of materials with exceptional macroscopic properties.
机译：本文提出了随时间变化的电介质复合材料的宏观响应的均化方程的推导，该复合材料包含在微结构的长度尺度上空间变化的空间电荷，并经受交变电场。重点是具有周期性微结构和两种相当普遍的空间电荷的电介质：无源（或固定）和有源（或局部移动）。在存在变量的情况下，借助变量的标准变化，该推导等同于转录先前在Lefevre和Lopez-Pamies（2017a）中引入的两尺度扩展结果，从而将理想的电介质完美地实现了复杂频率的领域依赖的电介质。为了说明其用途并展示其描述和解释具有极端介电行为的新兴材料的宏观响应的能力，派生的均质化结果用于检查各种聚合物纳米粒子复合材料的介电谱实验。发现只要考虑了空间电荷，所提出的理论结果就能够描述和解释所有实验结果。同样，更一般地说，这些与实验的代表性比较表明，在设计小尺寸尺度的空间电荷时，它是设计具有优异的宏观性能的材料的一种有前途的策略。

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