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二维二次和三维立方晶格结构中的声子带隙

Phononic Band Gaps in 2D Quadratic and 3D Cubic Cellular Structures.

作者信息

Warmuth Franziska, Körner Carolin

机构信息

Institute of Advanced Materials and Processes (ZMP), University of Erlangen-Nürnberg, Dr.-Mack-Str. 81, Fürth 90762, Germany.

Chair of Metals Science and Technology (WTM), University of Erlangen-Nürnberg, Martensstr. 5, Erlangen 91058, Germany.

出版信息

Materials (Basel). 2015 Dec 2;8(12):8327-8337. doi: 10.3390/ma8125463.

DOI:10.3390/ma8125463
PMID:28793713
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5458849/
Abstract

The static and dynamic mechanical behaviour of cellular materials can be designed by the architecture of the underlying unit cell. In this paper, the phononic band structure of 2D and 3D cellular structures is investigated. It is shown how the geometry of the unit cell influences the band structure and eventually leads to full band gaps. The mechanism leading to full band gaps is elucidated. Based on this knowledge, a 3D cellular structure with a broad full band gap is identified. Furthermore, the dependence of the width of the gap on the geometry parameters of the unit cell is presented.

摘要

多孔材料的静态和动态力学行为可通过其基础单胞的结构来设计。本文研究了二维和三维多孔结构的声子带结构。展示了单胞几何形状如何影响带结构并最终导致完全带隙。阐明了导致完全带隙的机制。基于这一知识,确定了一种具有宽完全带隙的三维多孔结构。此外,还给出了带隙宽度对单胞几何参数的依赖性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/65f42e45e9e2/materials-08-05463-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/f277681fa974/materials-08-05463-g001.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/1810882e3a21/materials-08-05463-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/bae223e771fa/materials-08-05463-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/f99dcd9aeb04/materials-08-05463-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/f2151f6eabc0/materials-08-05463-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/281c4d9e922c/materials-08-05463-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/8224c10784db/materials-08-05463-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/09f4a5998f19/materials-08-05463-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/fc593864d3d2/materials-08-05463-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/65f42e45e9e2/materials-08-05463-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/f277681fa974/materials-08-05463-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/00f0bc5227aa/materials-08-05463-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/fd6a7c8c5af6/materials-08-05463-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/1810882e3a21/materials-08-05463-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/bae223e771fa/materials-08-05463-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/f99dcd9aeb04/materials-08-05463-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/f2151f6eabc0/materials-08-05463-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/281c4d9e922c/materials-08-05463-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/8224c10784db/materials-08-05463-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/09f4a5998f19/materials-08-05463-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/fc593864d3d2/materials-08-05463-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c9/5458849/65f42e45e9e2/materials-08-05463-g012.jpg

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