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

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

Abstract

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.

Keywords: elastic waves phononic crystals quasi-periodic bandgaps

Received: 17 November 2014
Revised: 06 January 2015
Accepted manuscript online:

PACS:	61.44.Br	(Quasicrystals)
	63.20.-e	(Phonons in crystal lattices)
	63.20.Pw	(Localized modes)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11272043 and 10902012) and the Project-sponsored by SRF for ROCS, SEM.

Corresponding Authors: Chen A-Li
E-mail: alchen@bjtu.edu.cn

About author: 61.44.Br; 63.20.-e; 63.20.Pw

Cite this article:

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 2015 Chin. Phys. B 24 066101

[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

[1]	Tunable topological interface states and resonance states of surface waves based on the shape memory alloy Shao-Yong Huo(霍绍勇), Long-Chao Yao(姚龙超), Kuan-Hong Hsieh(谢冠宏), Chun-Ming Fu(符纯明), Shih-Chia Chiu(邱士嘉), Xiao-Chao Gong(龚小超), and Jian Deng(邓健). Chin. Phys. B, 2023, 32(3): 034303.
[2]	Quasi-periodic events on structured earthquake models Bin-Quan Li(李斌全), Zhi-Xi Wu(吴枝喜), Sheng-Jun Wang(王圣军). Chin. Phys. B, 2019, 28(9): 090503.
[3]	Influence of temperature on the properties of one-dimensional piezoelectric phononic crystals Ahmed Nagaty, Ahmed Mehaney, Arafa H Aly. Chin. Phys. B, 2018, 27(9): 094301.
[4]	Effect of temporal disorder on wave packet dynamics in one-dimensional kicked lattices Yuting Wang(王雨婷), Yi Gao(高绎), Peiqing Tong(童培庆). Chin. Phys. B, 2018, 27(12): 120503.
[5]	Acoustic-electromagnetic slow waves in a periodical defective piezoelectric slab Xiao-juan Li(李小娟), Huan Ge(葛欢), Li Fan(范理), Shu-yi Zhang(张淑仪), Hui Zhang(张辉), Jin Ding(丁劲). Chin. Phys. B, 2017, 26(7): 074302.
[6]	Interface-guided mode of Lamb waves in a two-dimensional phononic crystal plate Huang Ping-Ping (黄平平), Yao Yuan-Wei (姚源卫), Wu Fu-Gen (吴福根), Zhang Xin (张欣), Li Jing (李静), Hu Ai-Zhen (胡爱珍). Chin. Phys. B, 2015, 24(5): 054301.
[7]	Tuning of band-gap of phononic crystals with initial confining pressure Feng Rong-Xin (冯荣欣), Liu Kai-Xin (刘凯欣). Chin. Phys. B, 2012, 21(12): 126301.
[8]	Periodic, quasiperiodic and chaotic discrete breathers in a parametrical driven two-dimensional discrete diatomic Klein--Gordon lattice Xu Quan(徐权) and Tian Qiang(田强). Chin. Phys. B, 2009, 18(6): 2469-2474.
[9]	Coupled flexural-torsional vibration band gap in periodic beam including warping effect Fang Jian-Yu(方剑宇), Yu Dian-Long(郁殿龙), Han Xiao-Yun(韩小云), and Cai Li(蔡力). Chin. Phys. B, 2009, 18(4): 1316-1321.
[10]	Accurate evaluation of lowest band gaps in ternary locally resonant phononic crystals Wang Gang(王刚), Shao Li-Hui(邵丽晖), Liu Yao-Zong(刘耀宗), and Wen Ji-Hong(温激鸿). Chin. Phys. B, 2006, 15(8): 1843-1848.
[11]	Flexural vibration band gaps in thin plates with two-dimensional binary locally resonant structures Yu Dian-Long (郁殿龙), Wang Gang (王刚), Liu Yao-Zong (刘耀宗), Wen Ji-Hong (温激鸿), Qiu Jing (邱静). Chin. Phys. B, 2006, 15(2): 266-271.
[12]	Formation mechanism of the low-frequency locally resonant band gap in the two-dimensional ternary phononic crystals Wang Gang (王刚), Liu Yao-Zong (刘耀宗), Wen Ji-Hong (温激鸿), Yu Dian-Long (郁殿龙). Chin. Phys. B, 2006, 15(2): 407-411.
[13]	Doubly coupled vibration band gaps in periodic thin-walled open cross-section beams Yu Dian-Long (郁殿龙), Liu Yao-Zong (刘耀宗), Qiu Jing (邱静), Wang Gang (王刚), Wen Ji-Hong (温激鸿). Chin. Phys. B, 2005, 14(8): 1501-1506.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

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

Cite this article:

Online attention