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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.
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Keywords:
- lamb waves /
- phononic crystal /
- partial band gap
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[3] Liu Q N 2011 Acta Phys. Sin. 60 034301 (in Chinese) [刘启能 2011 60 034301]
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[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
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[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 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 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
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