Centro de Investigación de Métodos Computacionales (CIMEC), Universidad Nacional del Litoral (UNL)/Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Predio CCT-CONICET Santa Fe, Ruta Nac. 168, Paraje El Pozo, 3000, Santa Fe, Argentina.
Sci Rep. 2017 Jul 24;7(1):6261. doi: 10.1038/s41598-017-06565-6.
In this work, we present a new method for the design of heat flux manipulating devices, with emphasis on their fabricability. The design is obtained as solution of a nonlinear optimization problem where the objective function represents the given heat flux manipulation task, and the design variables define the material distribution in the device. In order to facilitate the fabrication of the device, the material at a given point is chosen from a set of predefined metamaterials. Each candidate material is assumed to be a laminate of materials with high conductivity contrast, so it is a metamaterial with a highly anisotropic effective conductivity. Following the discrete material optimization (DMO) approach, the fraction of each material at a given finite element of the mesh is defined as a function of continuous variables, which are ultimately the design variables. This DMO definition forces the fraction of each candidate to tend to either zero or one at the optimal solution. As an application example, we designed an easy-to-make device for heat flux concentration and cloaking.
在这项工作中，我们提出了一种新的热通量控制装置设计方法，重点关注其可制造性。设计是通过求解一个非线性优化问题得到的，该问题的目标函数表示给定的热通量控制任务，设计变量定义了装置中的材料分布。为了便于制造设备，在给定的点处的材料从一组预定义的超材料中选择。每个候选材料都被假设为由高电导率对比度的材料层压而成，因此它是一种具有高度各向异性有效电导率的超材料。按照离散材料优化 (DMO) 方法，给定网格的有限元中的每种材料的分数定义为连续变量的函数，最终这些连续变量就是设计变量。这种 DMO 定义使得在最优解中每个候选材料的分数要么趋于零，要么趋于一。作为一个应用实例，我们设计了一种用于热通量集中和隐身的易于制造的装置。
