Abstract The simultaneous cloaking and concentrating of heat flux is achieved through topology optimization based on a covariance matrix adaptation evolution strategy by formulating the optimization problem of improving two different objective functions. The topology-optimized thermal cloak–concentrator realizes excellent bi-functionality (i.e., cloaking and concentrating) despite having a simple composition, and structural characteristics needed for simultaneous cloaking and concentrating are revealed adopting a level set method with clear structural interfaces. Moreover, a thermal cloak–concentrator that is robust against fluctuations of thermal conductivity is designed by improving a fitness incorporating multiple objective functions under various thermal conductivities.

中文翻译：

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通过拓扑优化隐藏热传导中的集中器

摘要 通过提出改进两个不同目标函数的优化问题，通过基于协方差矩阵自适应演化策略的拓扑优化实现热通量的同时隐藏和集中。尽管结构简单，但拓扑优化的热隐身聚光器实现了优异的双功能（即隐身和聚光），并且采用具有清晰结构界面的水平集方法揭示了同时隐身和聚光所需的结构特征。此外，通过改进在各种热导率下结合多个目标函数的适应性，设计了一种对热导率波动具有鲁棒性的热斗篷集中器。