Band Gaps of 2D Phononic Crystal with Graded Interphase

Abstract:

Article Preview

Propagation characteristics of elastic waves in 2D phononic crystal consisting of parallel cylinders embedded periodically in a homogeneous host medium are investigated. The multiple scattering method and the Bloch theorem are used to derive the dispersive equation. The dispersive curves and the band gaps between them are evaluated numerically in the reduced Brillouin zone. The graded interphase between the cylinders and the host are considered. The influences of the graded interphase with different gradient profiles are discussed based on the numerical results.

Info:

Periodical:

Edited by:

Dongye Sun, Wen-Pei Sung and Ran Chen

Pages:

2567-2571

DOI:

10.4028/www.scientific.net/AMM.121-126.2567

Citation:

B. Cai and P. J. Wei, "Band Gaps of 2D Phononic Crystal with Graded Interphase", Applied Mechanics and Materials, Vols. 121-126, pp. 2567-2571, 2012

Online since:

October 2011

Authors:

Export:

Price:

$35.00

[1] Z Y Liu, X X Zhang, Locally Resonant Sonic Materials, Science, Vol. 289(2000), p.1734.

[2] Z Y Liu, Chan C T, Sheng P, Three-component elastic wave band-gap material. Physical Review B, Vol. 65(2002), p.1651.

DOI: 10.1103/physrevb.65.165116

[3] I E Psarobas, N Stefanou, A Modinos, Scattering of elastic waves by periodic arrays of spherical bodies, Physics Review B, Vol. 62(2000), p.678.

DOI: 10.1103/physrevb.62.278

[4] X Zhang, Z Y Liu, Y Y Liu, F G Wu, Elastic wave band gaps for three-dimensional phononic crystals with two structural units. Phys. Lett. A, Vol. 313(2003), p.455.

DOI: 10.1016/s0375-9601(03)00807-7

[5] Y Z Wang, F M Li, Kikuo Kishimoto, et al, Wave band gaps in three-dimensional periodic piezoelectric structures, Mech. Res. Commu., Vol. 36(2009), p.461.

DOI: 10.1016/j.mechrescom.2009.01.003

[6] L W Cai, J Williams, NDE via stop band formation in fiber reinforced composites having square fiber arrangements. Ultrasonics, Vol. 37(1999), p.483.

DOI: 10.1016/s0041-624x(99)00031-1

[7] J Mei, Z Y Liu, J Shi and D C Tian, Theory for elastic wave scattering by a two-dimensional periodical array of cylinders: An ideal approach for band-structure calculations, Physical Review B, Vol. 67(2003), 245107.

DOI: 10.1103/physrevb.67.245107

[8] C Y Qiu, Z Y Liu, J Mei, The layer multiple-scattering method for calculating transmission coefficients of 2D phononic crystals. Solid State Communications, Vol. 134(2005), p.765.

DOI: 10.1016/j.ssc.2005.02.034

[9] Y Z Wang, F M Li, W H Huang, Wave band gaps in two-dimensional piezoelectric/ piezomagnetic phononic crystals, Int. J. Solids Struct., Vol. 45(2008), p.4203.

DOI: 10.1016/j.ijsolstr.2008.03.001

[10] Y Z Wang, F M Li, Kikuo Kishimoto, et al, Elastic wave band gaps in magnetoelectroelastic phononic crystals, Wave Motion, Vol. 46(2009), p.47.

DOI: 10.1016/j.wavemoti.2008.08.001

[11] P Olsson, S K Datta, A Bostrom, Elastodynamic scattering from inclusions surrounded by thin interface layer. ASME J. Appl. Mech., Vol. 57(1990), p.672.

DOI: 10.1115/1.2897075

[12] Shindo, H Nozaki, S K Datta, Effect of interface layers on elastic wave propagation in a metal matrix composite reinforced by particles, ASME, J. Appl. Mech., Vol. 62(1995), p.178.

DOI: 10.1115/1.2895900

[13] P J Wei, L L Gu, Influences of the interphase on dynamic effective properties of composites reinforced by dispersed spherical particles, J. Univ. Sci. Tech. Beijing, Vol. 13(2006), p.256.

DOI: 10.1016/s1005-8850(06)60054-6

[14] C Goffaux, S D Jose, Two-dimensional phononic crystals studied using a variational method: Application to lattices of locally resonant materials, Physical review B, Vol. 67(2003), 144301.

DOI: 10.1103/physrevb.72.099903

[15] Gang Wang, Dianlong Yu, Jihong Wen, et al, One-dimensional phononic crystals with locally resonant structures, Physics Letters A, Vol. 327(2004), p.512.

DOI: 10.1016/j.physleta.2004.05.047

In order to see related information, you need to Login.