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dc electric cloak concentrator via topology optimization
Physical Review E ( IF 2.4 ) Pub Date : 2020-09-10 , DOI: 10.1103/physreve.102.033308 Garuda Fujii , Youhei Akimoto
Physical Review E ( IF 2.4 ) Pub Date : 2020-09-10 , DOI: 10.1103/physreve.102.033308 Garuda Fujii , Youhei Akimoto
We succeeded in simultaneously cloaking and concentrating direct current in a conducting material through topology optimization based on a level-set method. To design structures that perform these functions simultaneously, optimal topology is explored for improving two objective functions that govern separately the cloaking and concentration of current. Our design scheme, i.e., the topology optimization of a direct-current electric cloak concentrator, provides this bifunctionality well despite simple, common bulk materials being used to make up the structures. The materials also rigorously obey the electric conduction equation in contrast to the approximated artificial materials, so-called metamaterials, of other design schemes. The structural features needed for this simultaneous bifunctionality are found by adopting level-set method to generate material domains and clear structural interfaces. Furthermore, robust performances of the bifunctional structures against fluctuations in electrical conductivity was achieved by improving the fitness incorporating multiple objective functions. Additionally, the influence of the size of the current-concentrating domain on the performances of the optimal configuration is investigated.
中文翻译:
通过拓扑优化的直流电斗篷集中器
通过基于水平集方法的拓扑优化,我们成功地同时在导电材料中隐藏和集中了直流电。为了设计同时执行这些功能的结构,探索了最佳拓扑结构,以改善分别控制电流的隐蔽性和集中性的两个目标功能。我们的设计方案,即直流电斗篷集中器的拓扑优化,可以很好地实现这种双重功能,尽管使用了简单,常见的块状材料来构成结构。与其他设计方案的近似人工材料(所谓的超材料)相比,这些材料还严格遵守导电方程。通过采用水平集方法生成材料域和清晰的结构界面,找到了同时实现双功能所需的结构特征。此外,通过改善包含多个目标函数的适应性,实现了双功能结构对电导率波动的强大性能。此外,研究了电流集中域大小对最佳配置性能的影响。
更新日期:2020-09-10
中文翻译:
通过拓扑优化的直流电斗篷集中器
通过基于水平集方法的拓扑优化,我们成功地同时在导电材料中隐藏和集中了直流电。为了设计同时执行这些功能的结构,探索了最佳拓扑结构,以改善分别控制电流的隐蔽性和集中性的两个目标功能。我们的设计方案,即直流电斗篷集中器的拓扑优化,可以很好地实现这种双重功能,尽管使用了简单,常见的块状材料来构成结构。与其他设计方案的近似人工材料(所谓的超材料)相比,这些材料还严格遵守导电方程。通过采用水平集方法生成材料域和清晰的结构界面,找到了同时实现双功能所需的结构特征。此外,通过改善包含多个目标函数的适应性,实现了双功能结构对电导率波动的强大性能。此外,研究了电流集中域大小对最佳配置性能的影响。