通过活性电荷均匀化增强弹性电介质
偏微分方程分析
2021-02-16 v2
摘要
我们研究了弹性体中由偶电机械耦合产生的偏微分方程系统。假设周期性微结构以及给定阶数的微电荷周期性分布，我们推导了均匀化系统。结果关键依赖于周期性（或适当的随机性）以及所考虑的微结构类型。我们还展示了在电荷被精心适配于均匀化电场时的电增强效应，并明确了该增强以及稀 regime 中相应的电致伸缩增强。
引用
@article{arxiv.2101.06007,
title = {Enhancement of elasto-dielectrics by homogenization of active charges},
author = {Gilles A. Francfort and Antoine Gloria and Oscar Lopez-Pamies},
journal= {arXiv preprint arXiv:2101.06007},
year = {2021}
}
备注
The title of the article has been changed and two parts have been added: the rigorous proof of arbitrarily large dielectric and elastrostrictic enhancement in a dilute regime (Section 5), and the extension of the results to the case of random inclusions (Appendix A)