Band structures of elastic waves in two-dimensional eight-fold solid-solid quasi-periodic phononic crystals

doi:10.1088/1674-1056/24/6/066101

中国物理B ›› 2015, Vol. 24 ›› Issue (6): 66101-066101.doi: 10.1088/1674-1056/24/6/066101

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Band structures of elastic waves in two-dimensional eight-fold solid-solid quasi-periodic phononic crystals

陈阿丽, 梁同利, 汪越胜

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

收稿日期:2014-11-17 修回日期:2015-01-06 出版日期:2015-06-05 发布日期:2015-06-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11272043 and 10902012) and the Project-sponsored by SRF for ROCS, SEM.

Band structures of elastic waves in two-dimensional eight-fold solid-solid quasi-periodic phononic crystals

Chen A-Li (陈阿丽), Liang Tong-Li (梁同利), Wang Yue-Sheng (汪越胜)

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

Received:2014-11-17 Revised:2015-01-06 Online:2015-06-05 Published:2015-06-05
Contact: Chen A-Li E-mail:alchen@bjtu.edu.cn
About author:61.44.Br; 63.20.-e; 63.20.Pw
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11272043 and 10902012) and the Project-sponsored by SRF for ROCS, SEM.

摘要/Abstract

摘要：

Combined with the supercell method, band structures of the anti-plane and in-plane modes of two-dimensional (2D) eight-fold solid–solid quasi-periodic phononic crystals (QPNCs) are calculated by using the finite element method. The influences of the supercell on the band structure and the wave localization phenomenon are discussed based on the modal distributions. The reason for the appearance of unphysical bands is analyzed. The influence of the incidence angle on the transmission spectrum is also discussed.

关键词: elastic waves, phononic crystals, quasi-periodic, bandgaps

Abstract:

Key words: elastic waves, phononic crystals, quasi-periodic, bandgaps

中图分类号: (Quasicrystals)

61.44.Br

63.20.-e (Phonons in crystal lattices) 63.20.Pw (Localized modes)

陈阿丽, 梁同利, 汪越胜. Band structures of elastic waves in two-dimensional eight-fold solid-solid quasi-periodic phononic crystals[J]. 中国物理B, 2015, 24(6): 66101-066101.

Chen A-Li (陈阿丽), Liang Tong-Li (梁同利), Wang Yue-Sheng (汪越胜). Band structures of elastic waves in two-dimensional eight-fold solid-solid quasi-periodic phononic crystals[J]. Chin. Phys. B, 2015, 24(6): 66101-066101.

参考文献 24

[1]	Shechtman D, Blech I, Cratias D and Cahn J W 1984 Phys. Rev. Lett. 53 1951
[2]	Levine D and Steinhardt P J 1984 Phys. Rev. Lett. 53 2477
[3]	Ranganathan S and Chattopadhyay K 1991 Ann. Rev. Mater. Sci. 21 437
[4]	Lifshitz R 1996 Physica A 232 633
[5]	Steurer W and Haibach T 1999 Acta Cryst. A 55 48
[6]	Steurer W 2004 Z. Kristallogr. 219 391
[7]	Li W and Chai Y Z 2014 Chin. Phys. B 23 116201
[8]	Li W and Xie L Y 2013 Chin. Phys. B 22 036201
[9]	Li L H 2013 Chin. Phys. B 22 016102
[10]	Steurer W and Sutter-Widmer D 2007 J. Phys. D: Appl. Phys. 40 R229
[11]	Lai Y and Zhang Z Q 2005 Z. Kristallogr. 220 877
[12]	Zhang X D 2007 Phys. Rev. B 75 024209
[13]	Sutter-Widmer D, Deloudi S and Steurer W 2007 Philos. Mag. 87 3095
[14]	Sutter-Widmer D, Deloudi S and Steurer W 2007 Phys. Rev. B 75 094304
[15]	Sutter-Widmer D and Steurer W 2007 Phys. Rev. B 75 134303
[16]	Cao Y J and Yang X 2008 Acta Phys. Sin. 57 3620 (in Chinese)
[17]	Cao Y J, Dong C H and Zhou P Q 2006 Acta Phys. Sin. 55 6470 (in Chinese)
[18]	Chen A L, Wang Y S, Guo Y F and Wang Z D 2008 Solid State Commun. 145 103
[19]	Chen A L, Wang Y S and Zhang Ch 2012 Physica B 407 324
[20]	Albuquerque E L and Sesion P D Jr 2010 Physica B 405 3704
[21]	Chen A L, Liang T L and Wang Y S 2014 Acta Phys. Sin. 63 036101 (in Chinese)
[22]	Chen J Z 1993 Earth Sci. J. China Univ. Geosci. 18 105 (in Chinese)
[23]	Ibach H and Lüth H 1995 Solid State Physics, 4nd edn. (New York/Berlin/Heidelberg: Springer-Verlag) p. 44
[24]	Wang Y F, Wang Y S and Su X X 2011 J. Appl. Phys. 110 113520

Band structures of elastic waves in two-dimensional eight-fold solid-solid quasi-periodic phononic crystals

Band structures of elastic waves in two-dimensional eight-fold solid-solid quasi-periodic phononic crystals

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