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Materials 2015, 8(12), 8327-8337; doi:10.3390/ma8125463

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

1
Institute of Advanced Materials and Processes (ZMP), University of Erlangen-Nürnberg, Dr.-Mack-Str. 81, Fürth 90762, Germany
2
Chair of Metals Science and Technology (WTM), University of Erlangen-Nürnberg, Martensstr. 5, Erlangen 91058, Germany
*
Author to whom correspondence should be addressed.
Academic Editor: Xiaodong Huang
Received: 22 September 2015 / Revised: 26 November 2015 / Accepted: 27 November 2015 / Published: 2 December 2015
(This article belongs to the Special Issue Cellular Materials: Design and Optimisation)
View Full-Text   |   Download PDF [1990 KB, uploaded 2 December 2015]   |  

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. View Full-Text
Keywords: cellular materials; metamaterials; phononic band gaps; finite element method; dispersion relations cellular materials; metamaterials; phononic band gaps; finite element method; dispersion relations
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Warmuth, F.; Körner, C. Phononic Band Gaps in 2D Quadratic and 3D Cubic Cellular Structures. Materials 2015, 8, 8327-8337.

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