Large partial band-gaps for Lamb waves in multiple phononic crystals thin plates

Ding Hong-Xing; Shen Zhong-Hua; Li Jia; Zhu Xue-Feng; Ni Xiao-Wu

doi:10.7498/aps.61.196301

Abstract

During the past decade, a growing attention has been paid to the Lamb waves propagating in composite plates due to a variety of applications for nondestructive evaluation, vibration attenuation and Lamb wave sensors. We present a revised plane wave expansion method and a finite element method to study the large partial band-gaps of a multiple Lamb wave phononic crystal thin plate with a symmetric mirror plane The results show that lots of partial stopbands of lower-order Lamb waves exist and can be substantially enlarged by using multiple heterostructures which consist of several pieces of phononic crystal with different ratios of the thickness (H) to the lattice period (L). These contribute to good mode choice for lower-order Lamb waves, which is believed to have much significance for optimially choosing models in Lamb wave nondestructive test and the one-way Lamb wave mode transmission.

Keywords:

Authors and contacts

1.
School of Science, Nanjing University of Science and Technology, Nanjing 210094, China;
2.
Department of Physics, Lianyungang Teachers College, Lianyungang 222006, China;
3.
Huazhong University of Science and Technology, Wuhan 430074, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11274175, 61108013), the Program for New Century Excellent Talents in University (NCET), and Birdnest project of Huazhong University of Science and Technology (HUST).

References

[1]	Kushwaha M S, Halevi P, Dobraynski L 1993 Phys. Rev. Lett. 71 2022
[2]	Kafesaki M, Sigalas M, Garcia N 2000 Phys. Rev. Lett. 85 4044
[3]	Liu Q N 2011 Acta Phys. Sin. 60 034301 (in Chinese) [刘启能 2011 物理学报 60 034301]
[4]	Gao G Q, Ma S L, Jin F, Jin D F, Lu T J 2010 Acta Phys. Sin. 59 393 (in Chinese) [高国钦, 马守林, 金峰, 金东范, 卢天健 2010 物理学报 59 393]
[5]	Qiu C Y, Zhang X D, Liu Z Y 2005 Phys. Rev. E 71 054302
[6]	Chen J J, Zhang K W, Gao J, Cheng J C 2006 Phys. Rev. B 73 094307
[7]	Gao J, Zou X Y, Cheng J C, Li B W 2008 Appl. Phys. Lett. 92 023510
[8]	Hou Z L, Assouar B M 2008 Phys. Lett. A 372 2091
[9]	Vasseur J O, Deymier P A, Djafari R B 2008 Phys. Rev. B 77 085415
[10]	Hou Z L, Assouar B M 2008 J. Phys. D 41 215102
[11]	Zhang X Y, Jackson T, Lafond E, Deymier P, Vasseur J 2006 Appl. Phys. Lett. 88 041911
[12]	Khelif A, Deymier P A, Djafari-Rouhani B, Vasseur J O, Dobrzynski L 2003 J. Appl. Phys. 94 1308
[13]	Hsu J C, Wu T T 2007 Appl. Phys. Lett. 90 201904
[14]	Sun J H, Wu T T 2007 Phys. Rev. B 76 104304
[15]	Wu T C, Wu T T, Hsu J C 2009 Phys. Rev. B 79 104306
[16]	Oudich M, Li Y, Assouarl B M, Hou Z L 2010 New J. Phys. 12 083049
[17]	Chen J J, Qin B, Chan H.L.W 2008 Solid State Commun. 146 491
[18]	Chen J J, Feng Y, Chan H.L.W 2008 Appl. Phys. B 90 557
[19]	Gao J, Cheng J C 2007 Appl. Phys. Lett. 90 111908
[20]	Zhu X F, Zou X Y, Liang B, Cheng J C 2010 J. Appl. Phys. 108 124909
[21]	Zhu X F, Liu S C, Xu T, Wang T H, Cheng J C 2010 Chin. Phys. B 19 044301
[22]	Zhu X F, Xu T, Liu S C, Cheng J C 2009 J. Appl. Phys. 106 104901
[23]	Cai C, Zhu X F, Chen Q, Yuan Y, Liang B, Cheng J C 2011 Chin. Phys. B 20 116301
[24]	Kan W W, Liang B, Zhu X F, Tu J, Zou X Y, Cheng J C 2010 Appl. Phys. Lett. 97 223504
[25]	Li R Q, Zhu X F, Liang B, Li Y, Zou X Y, Cheng J C 2011 Appl. Phys. Lett. 99 193507
[26]	Zhu X F, Liang B, Kan W W, Zou X Y, Cheng J C 2011 Phys. Rev. Lett. 106 014301
[27]	Zhu X F, Zou X Y, Zhou X W, Liang B, Cheng J C 2012 Chin. Phys. Lett. 29 014102
[28]	Ding H X, Shen Z H, Ni X W, Zhu X F, 2012 Appl. Phys. Lett. 100 083501

Cited By

[1]	Kushwaha M S, Halevi P, Dobraynski L 1993 Phys. Rev. Lett. 71 2022
[2]	Kafesaki M, Sigalas M, Garcia N 2000 Phys. Rev. Lett. 85 4044
[3]	Liu Q N 2011 Acta Phys. Sin. 60 034301 (in Chinese) [刘启能 2011 物理学报 60 034301]
[4]	Gao G Q, Ma S L, Jin F, Jin D F, Lu T J 2010 Acta Phys. Sin. 59 393 (in Chinese) [高国钦, 马守林, 金峰, 金东范, 卢天健 2010 物理学报 59 393]
[5]	Qiu C Y, Zhang X D, Liu Z Y 2005 Phys. Rev. E 71 054302
[6]	Chen J J, Zhang K W, Gao J, Cheng J C 2006 Phys. Rev. B 73 094307
[7]	Gao J, Zou X Y, Cheng J C, Li B W 2008 Appl. Phys. Lett. 92 023510
[8]	Hou Z L, Assouar B M 2008 Phys. Lett. A 372 2091
[9]	Vasseur J O, Deymier P A, Djafari R B 2008 Phys. Rev. B 77 085415
[10]	Hou Z L, Assouar B M 2008 J. Phys. D 41 215102
[11]	Zhang X Y, Jackson T, Lafond E, Deymier P, Vasseur J 2006 Appl. Phys. Lett. 88 041911
[12]	Khelif A, Deymier P A, Djafari-Rouhani B, Vasseur J O, Dobrzynski L 2003 J. Appl. Phys. 94 1308
[13]	Hsu J C, Wu T T 2007 Appl. Phys. Lett. 90 201904
[14]	Sun J H, Wu T T 2007 Phys. Rev. B 76 104304
[15]	Wu T C, Wu T T, Hsu J C 2009 Phys. Rev. B 79 104306
[16]	Oudich M, Li Y, Assouarl B M, Hou Z L 2010 New J. Phys. 12 083049
[17]	Chen J J, Qin B, Chan H.L.W 2008 Solid State Commun. 146 491
[18]	Chen J J, Feng Y, Chan H.L.W 2008 Appl. Phys. B 90 557
[19]	Gao J, Cheng J C 2007 Appl. Phys. Lett. 90 111908
[20]	Zhu X F, Zou X Y, Liang B, Cheng J C 2010 J. Appl. Phys. 108 124909
[21]	Zhu X F, Liu S C, Xu T, Wang T H, Cheng J C 2010 Chin. Phys. B 19 044301
[22]	Zhu X F, Xu T, Liu S C, Cheng J C 2009 J. Appl. Phys. 106 104901
[23]	Cai C, Zhu X F, Chen Q, Yuan Y, Liang B, Cheng J C 2011 Chin. Phys. B 20 116301
[24]	Kan W W, Liang B, Zhu X F, Tu J, Zou X Y, Cheng J C 2010 Appl. Phys. Lett. 97 223504
[25]	Li R Q, Zhu X F, Liang B, Li Y, Zou X Y, Cheng J C 2011 Appl. Phys. Lett. 99 193507
[26]	Zhu X F, Liang B, Kan W W, Zou X Y, Cheng J C 2011 Phys. Rev. Lett. 106 014301
[27]	Zhu X F, Zou X Y, Zhou X W, Liang B, Cheng J C 2012 Chin. Phys. Lett. 29 014102
[28]	Ding H X, Shen Z H, Ni X W, Zhu X F, 2012 Appl. Phys. Lett. 100 083501

Catalog

Vol. 61, Issue 19 - 2012-10-05

Metrics

Abstract views: 6522
PDF Downloads: 750
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板