Topology optimization of high performance electromagnetic devices that use the change permittivity change of elastomers due to the structural deformations

本研究为利用高介电弹性体介电常数变化的高性能电磁器件的结构设计构建了一种新的考虑机械变形引起电磁性能变化的拓扑优化方法。即，首先，基于粒子法，构造了考虑几何非线性的基于水平集的拓扑优化方法，该方法可以评估弹性体的结构变形。其次，利用有限元方法建立了弹性体电磁性能的数值分析方法。最后，将上述两种方法结合起来，考虑结构问题和电磁波传播问题之间的耦合效应，构建了利用结构变形引起的介电常数变化的电磁器件设计的拓扑优化方法。

This research constructed a new topology optimization that considers the change of electromagnetic properties due to the mechanical deformations for the structural designs of the high performance electromagnetic devices that use the change of permittivity of higher dielectric elastomers. That is, we, first, constructed the level set-based topology optimization method considering the geometrically nonlinearity based on the particle method that can evaluate the structural deformations of the elastomers. Next, the numerical method for analyzing the electromagnetic properties of the elastomers was developed using the finite element method. Finally, we tried to construct the topology optimization for the designs of electromagnetic devices that use the change of permittivity due to the structural deformations by combining the above two methods to take into account the coupled effects between the structural problems and electromagnetic wave propagation problems.