Phononic Band Gaps in Al2O3/Epoxy Composite

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In this study, we have investigated the band structure of elastic waves propagating in a phononic crystal, consisting of an epoxy matrix reinforced by Al2O3 inclusions in a square and hexagonal lattices. We also studied the influence of the inclusion geometry cross section – circular, hollow circular, square and rotated square with a 45° angle of rotation with respect to the x, y axes. The plane wave expansion (PWE) method is used to solve the wave equation considering the wave propagation in the xy plane (longitudinal-transverse vibration, XY mode, and transverse vibration, Z mode). The complete band gaps between the XY and Z modes are observed to circular, square and rotated square cross section inclusion and the best performance is for rotated square cross section inclusion in a square lattice. We suggest that the Al2O3/epoxy composite is feasible for vibrations management.

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112-117

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January 2018

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© 2018 Trans Tech Publications Ltd. All Rights Reserved

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[1] M.M. Sigalas, E.N. Economou: Journal of Applied Physics Vol. 75 (1994), p.2845.

Google Scholar

[2] Y. Pennec, J.O. Vasseur, B. Djafari-Rouhani, L. Dobrzyński, P.A. Deymier: Surface Science Reports Vol. 65 (2010), p.229.

DOI: 10.1016/j.surfrep.2010.08.002

Google Scholar

[3] J. Huang, Z. Shi: Journal of Sound and Vibration Vol. 332 (2013), p.4423.

Google Scholar

[4] K. Yu, T. Chen, X. Wang: Physica B Vol. 416 (2013), p.12.

Google Scholar

[5] V. Anjos, A. Arantes: RSC Advances Vol. 5 (2015), p.11248.

Google Scholar

[6] R.H. Olsson III, I. El-Kady: Measurement Science and Technology Vol. 20 (2009), p.012002.

Google Scholar

[7] J.D. Achenbach, M. Kitahara: The Journal of the Acoustical Society of America Vol. 81 (1987) 595.

Google Scholar

[8] Y.F. Wang, Y.S. Wang, X.X. Su: Journal of Applied Physics Vol. 110 (2011), p.113520.

Google Scholar

[9] S.A. El-Naggar, S.I. Mostafa, N.H. Rafat: Ultrasonics Vol. 52 (2012), p.536.

Google Scholar

[10] Y. He, F. Wu, Y. Yao, X. Zhang, Z. Mu, S. Yan: Physics Letters A Vol. 377 (2013), p.889.

Google Scholar

[11] J.G. Hu, W. Xu: Physica B Vol. 441 (2014), p.89.

Google Scholar

[12] J.O. Vasseur, B.D. Rouhani, L. Dobrzynski, M.S. Kushwaha, P. Halevi: Journal of Physics: Condensed Matter Vol. 6 (1994), p.8759.

Google Scholar

[13] Z.J. Yao, G.L. Yu, Y.S. Wang, Z.F. Shi: International Journal of Solids and Structures Vol. 46 (2009), p.2571.

Google Scholar

[14] Z.J. Yao, G.L. Yu, Y.S. Wang, W.J. Hu: Advanced Materials Research Vols. 652–654 (2013), p.48.

Google Scholar

[15] L.D. Landau, E.M. Lifshitz: Theory of Elasticity. (Pergamon Press London, 1959).

Google Scholar

[16] M.S. KUSHWAHA, P. HALEVI, G. MARTÍNEZ: Physical Review B Vol. 49 (1994) 2313.

Google Scholar