Band-gap calculations of anisotropic phononic crystals in a square lattice

DOI

10.2991/icmra-15.2015.27How to use a DOI?

Keywords

band structures; anisotropic; phononic crystals

Abstract

A boundary element method is extended to calculate the band structures of anisotropic phononic crystals with different components forming the square lattice. The system may be composed of anisotropic inclusions embedded in the isotropic matrix or isotropic inclusions embedded in the anisotropic matrix. In a periodic unit cell, boundary integral equations of the matrix and the inclusion are given. Substituting the periodic boundary conditions and the interface conditions, a set of linear equations is formed. Then the relations between the wave number and the frequency are determined, which clearly exhibit the band gaps of the phononic system. Some numerical examples are used to illustrate the accuracy and efficiency of the boundary element method. Additionally, the results show that for anisotropic phononic crystal, band gaps not only depend on the periodic lattice but also the angle between the symmetry axis of orthotropic materials (different rotating angles).

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Feng-Lian Li
PY  - 2015/04
DA  - 2015/04
TI  - Band-gap calculations of anisotropic phononic crystals in a square lattice
BT  - Proceedings of the 3rd International Conference on Mechatronics, Robotics and Automation
PB  - Atlantis Press
SP  - 131
EP  - 134
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmra-15.2015.27
DO  - 10.2991/icmra-15.2015.27
ID  - Li2015/04
ER  -