Fachinotti Víctor D, Peralta Ignacio, Albanesi Alejandro E
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 168, Paraje El Pozo, 3000, Santa Fe, Argentina.
Universidad Tecnológica Nacional (UTN)/Facultad Regional Santa Fe, Lavaisse 610, 3000, Santa Fe, Argentina.
Sci Rep. 2018 Jun 29;8(1):9857. doi: 10.1038/s41598-018-28069-7.
We present a new method for the design of devices to manipulate the displacement field in Elastic materials. It consists of solving a nonlinear optimization problem where the objective function defines the error in matching a desired displacement field, and the design variables determine the required material distribution within the device. In order to facilitate fabrication, the material at a given point of the device is chosen from a set of predefined materials, giving raise to a discrete optimization problem that is converted into a continuous one using the Discrete Material Optimization technique. The candidate materials maybe simple, isotropic materials, but the device made of them behaves as a whole as a metamaterial, enabling the manipulation of the displacement field in ways that are inconceivable in nature. As an example of application, a device for elastostatic cloaking or unfeelability is designed.
我们提出了一种用于设计在弹性材料中操纵位移场的装置的新方法。它包括解决一个非线性优化问题,其中目标函数定义了匹配所需位移场时的误差,而设计变量确定了装置内所需的材料分布。为了便于制造,装置给定位置的材料从一组预定义材料中选择,这就产生了一个离散优化问题,该问题使用离散材料优化技术转化为连续优化问题。候选材料可能是简单的各向同性材料,但由它们制成的装置整体表现为一种超材料,能够以自然界中难以想象的方式操纵位移场。作为应用示例,设计了一种用于弹性静力学隐身或无感的装置。