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Technical Brief

Bandgaps of Two-Dimensional Phononic Crystals With Sliding Interface Conditions

[+] Author and Article Information
Feng-Lian Li

Institute of Engineering Mechanics,
Beijing Jiaotong University,
Beijing 100044, China

Yue-Sheng Wang

Institute of Engineering Mechanics,
Beijing Jiaotong University,
Beijing 100044, China
e-mail: yswang@bjtu.edu.cn

Chuanzeng Zhang

Department of Civil Engineering,
University of Siegen,
Siegen D-57068, Germany

Gui-Lan Yu

School of Civil Engineering,
Beijing Jiaotong University,
Beijing 100044, China

1Corresponding author.

Manuscript received November 28, 2013; final manuscript received December 18, 2013; accepted manuscript posted December 25, 2013; published online January 30, 2014. Editor: Yonggang Huang.

J. Appl. Mech 81(6), 064501 (Jan 30, 2014) (6 pages) Paper No: JAM-13-1488; doi: 10.1115/1.4026332 History: Received November 28, 2013; Revised December 18, 2013; Accepted December 25, 2013

In the present paper, the Dirichlet-to-Neumann map method is employed to compute the band structures of two-dimensional phononic crystals with smoothly sliding connection conditions between the matrix and the scatterers, which are composed of square or triangular lattices of circular solid cylinders in a solid matrix. The solid/solid systems of various material parameters with sliding interface conditions are considered. The influence of sliding interface conditions on the band structures is analyzed and discussed. The results show that the smoothly sliding interface condition has significant effect on the band structure.

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Figures

Grahic Jump Location
Fig. 1

The structures under consideration: (a), (b) and (c) are a square lattice, its corresponding square unit cell and the first Brillouin zone, respectively; (d), (e) and (f) are a triangular lattice, its corresponding hexagonal unit cell and the first Brillouin zone, respectively

Grahic Jump Location
Fig. 2

Band structures of the Ni/Al phononic crystal in the square lattice. The solid and hollow scattered dots represent the results of the smoothly sliding interface condition (Eq. (3)) and the perfectly contact interface condition (Eq. (2)), respectively.

Grahic Jump Location
Fig. 3

Band structures of the Au/epoxy phononic crystal in square (a) and triangular (b) lattices. The solid and hollow scattered dots represent the results of the smoothly sliding interface condition (Eq. (3)) and the perfectly contact interface condition (Eq. (2)), respectively.

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