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

Materials

Franziska Warmuth¹  Carolin Körner² 

[1] Institute of Advanced Materials and Processes (ZMP), University of Erlangen-Nürnberg, Dr.-Mack-Str. 81, Fürth 90762, GermanyChair of Metals Science and Technology (WTM), University of Erlangen-Nürnberg, Martensstr. 5, Erlangen 91058, Germany;

关键词: cellular materials;    metamaterials;    phononic band gaps;    finite element method;    dispersion relations;   

DOI  :  10.3390/ma8125463

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.