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基于优化的弹性静力学隐身装置设计

Optimization-based design of an elastostatic cloaking device.

作者信息

Fachinotti Víctor D, Peralta Ignacio, Albanesi Alejandro E

机构信息

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.

出版信息

Sci Rep. 2018 Jun 29;8(1):9857. doi: 10.1038/s41598-018-28069-7.

DOI:10.1038/s41598-018-28069-7
PMID:29959340
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6026154/
Abstract

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.

摘要

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。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3a56/6026154/42c5553053db/41598_2018_28069_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3a56/6026154/93a0a2cd2624/41598_2018_28069_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3a56/6026154/e71f027b8d31/41598_2018_28069_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3a56/6026154/327ee146546f/41598_2018_28069_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3a56/6026154/944605710ab7/41598_2018_28069_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3a56/6026154/42c5553053db/41598_2018_28069_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3a56/6026154/93a0a2cd2624/41598_2018_28069_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3a56/6026154/e71f027b8d31/41598_2018_28069_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3a56/6026154/327ee146546f/41598_2018_28069_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3a56/6026154/944605710ab7/41598_2018_28069_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3a56/6026154/42c5553053db/41598_2018_28069_Fig5_HTML.jpg

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引用本文的文献

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本文引用的文献

1
Optimization-based design of heat flux manipulation devices with emphasis on fabricability.基于优化的热通量操纵装置设计,重点关注可制造性。
Sci Rep. 2017 Jul 24;7(1):6261. doi: 10.1038/s41598-017-06565-6.
2
Optimization-based design of a heat flux concentrator.基于优化的热流集中器设计。
Sci Rep. 2017 Jan 13;7:40591. doi: 10.1038/srep40591.
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Mass Separation by Metamaterials.超材料实现的质量分离
Sci Rep. 2016 Feb 25;6:21971. doi: 10.1038/srep21971.
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Mechanical cloak design by direct lattice transformation.通过直接晶格变换进行机械隐身衣设计。
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Experiments on transformation thermodynamics: molding the flow of heat.相变热力学实验:塑造热流。
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Fick's second law transformed: one path to cloaking in mass diffusion.菲克第二定律的变换:质量扩散中的一种隐身途径。
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J Mech Behav Biomed Mater. 2013 Apr;20:387-97. doi: 10.1016/j.jmbbm.2012.08.019. Epub 2012 Sep 1.
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Phys Rev Lett. 2012 May 25;108(21):214303. doi: 10.1103/PhysRevLett.108.214303. Epub 2012 May 21.
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Phys Rev Lett. 2008 Jan 18;100(2):024301. doi: 10.1103/PhysRevLett.100.024301. Epub 2008 Jan 14.