磁流变弹性体中磁介电效应的模拟
Simulation of magnetodielectric effect in magnetorheological elastomers
摘要：
本文对磁流变弹性体的磁介电效应进行了数值模拟，即在外加磁场作用下弹性体的等效介电常数的变化。该效应的计算机模型是基于外磁场作用下弹性基体内磁性粒子的位移和链状结构的形成的假设。这种金属颗粒在电容器平面之间的位移导致电容的变化，这可以被认为是由磁场引起的弹性体的有效介电常数的变化（磁介电效应）。在文献中，主要使用2D方法来模拟类似的效果。本文提出了磁流变弹性体模拟的新方法-磁介电效应的三维模型，能够模拟大约10万个粒子的系统。在该模型的框架内，三种类型的颗粒尺寸分布进行了模拟，这给出了一个优势，比以前报道的方法。对数正态分布的建模和实验结果比单一的类型，以提供更好的定性匹配。所开发的模型与先前获得的铁基弹性体的所有实验数据产生了完美的定性一致。该模型有助于研究这些新型功能材料，分析磁介电效应的特点，预测磁流变弹性体的最佳组成，为进一步深入的实验研究奠定基础。
英文摘要：
We present the results of numerical simulation of magnetodielectric effect (MDE) in magnetorheological elastomers (MRE) - the change of effective permittivity of elastomer placed under the external magnetic field. The computer model of effect is based on the assumption about the displacement of magnetic particles inside the elastic matrix under the external magnetic field and the formation of chain-like structures. Such displacement of metallic particles between the planes of capacitor leads to the change of capacity, which can be considered as a change of effective permittivity of elastomer caused by magnetic field (magnetodielectric effect). In the literature mainly 2D approach was used to model similar effect. In this paper we present the new approach of magnetorheological elastomers simulation - 3D-model of magnetodielectric effect with ability to simulate systems of around 100000 particles. Within the framework of the model three types of particle size distributions were simulated which gives an advantage over previously reported approaches. Lognormal size distribution was shown to give better qualitative match of the modeling and experimental results than monosized type. The developed model resulted in perfect qualitative agreement with all experimental data obtained earlier for Fe-based elastomers. The proposed model is useful to study these novel functional materials, analyze the features of magnetodielectric effect and predict the optimal composition of magnetorheological elastomers for further profound experimental study.
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