Calculations of lamb wave band gaps and dispersions for piezoelectric phononic plates using mindlin's theory-based plane wave expansion method

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 55, Issue 2, 2008, Pages 431-440

  Hsu, Jin Chen ^a   Wu, Tsung Tsong ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION (WAVES); ENERGY GAP; SURFACE WAVES;

PHONONIC PLATES; PLANE WAVE EXPANSION METHOD; SOFT MATRIX; TRIANGULAR LATTICES;

PIEZOELECTRIC MATERIALS;

EID: 40549134689     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/TUFFC.2008.661     Document Type: Article

References (32)

1. http://www.phys.uoa.gr/phononics/PhononicDatabase.html.
2. S. G. Johnson and J. D. Joannopoulos, Photonic Crystals: The Road from Theory to Practice. Boston: Kluwer Academic Publishers, 2003.
3. A. Modinos, N. Stefanou, I. E. Psarobas, and V. Yannopapas, "On wave propagation in inhomogeneous systems," Physica B, vol. 296, pp. 167-173, 2001.
4. J.-H. Sun and T.-T. Wu, "Propagation of surface acoustic waves through sharply bent two-dimensional phononic crystal waveguides using a finite-difference time-domain method," Phys. Rev. B, vol. 74, pp. 174305-1-7, 2006.
5. Y. Pennec, B. Djafari-Rouhani, J. O. Vasseur, A. Khelif, and P. A. Deymier, "Tunable filtering and demultiplexing in phononic crystal with hollow cylinders," Phys. Rev. B, vol. 69, pp. 046608-1-6, 2004.
6. C. Goffaux, J. Sánchez-Dehesa, A. Yeyati, P. Lambin, A. Khelif, J. O. Vasseur, and B. Djafari-Rouhani, "Evidence of Fanolike interference phenomena in locally resonant materials," Phys. Rev. Lett., vol. 88, pp. 225502-1-4, 2002.
7. G. Wang, X. Wen, J. Wen, L. Shao, and Y. Liu, "Two-dimensional locally resonant phononic crystals with binary structures," Phys. Rev. Lett., vol. 93, pp. 154302-1-4, 2004.
8. Y. Tanaka and S. Tamura, "Surface acoustic waves in two-dimensional periodic elastic structures," Phys. Rev. B, vol. 58, pp. 7958-7965, 1998.
9. T.-T. Wu, Z.-G. Huang, and S. Lin, "Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy," Phys. Rev. B, vol. 69, pp. 094301-1-10, 2004.
10. T.-T. Wu, Z.-C. Hsu, and Z.-G. Huang, "Band gaps and the electromechanical coupling coefficient of a surface acoustic wave in a two-dimensional piezoelectric phononic crystals," Phys. Rev. B, vol. 71, pp. 064303-1-5, 2005.
11. J.-C. Hsu and T.-T. Wu, "Bleustein-Gulyaev-Shimizu surface acoustic waves in two-dimensional piezoelectric phononic crystals," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 53, pp. 1169-1176, 2006.
12. X. Zhang, T. Jackson, E. Lafond, P. Deymier, and J. Vasseur, "Evidence of surface acoustic wave band gaps in the phononic crystals created on thin plates," Appl. Phys. Lett., vol. 88, pp. 041911-1-3, 2004.
13. J.-C. Hsu and T.-T. Wu, "Efficient formulation for band-structure calculations of two-dimensional phononic-crystal plates," Phys. Rev. B, vol. 74, pp. 144303-1-7, 2006.
14. A. Khelif, B. Aoubiza, S. Mohammadi, A. Adibi, and V. Laude, "Complete band gaps in two-dimensional phononic crystal slabs," Phys. Rev. E, vol. 74, pp. 046610-1-5, 2006.
15. J.-C. Hsu and T.-T. Wu, "Lamb waves in binary locally resonant phononic plates with two-dimensional lattices," Appl. Phys. Lett., vol. 90, pp. 201904-1-3, 2007.
16. J. Wang, Y.-K. Yong, and T. Imai, "Finite element analysis of the piezoelectric vibrations of quartz plate resonators with higher-order plate theory," Int. J. Solids Struct., vol. 36, pp. 2303-2319, 1999.
17. P. C. Y. Lee and J. Wang, "Vibrations of AT-cut quartz strips of narrow width and finite length," J. Appl. Phys., vol. 75, pp. 7681-7695, 1994.
18. S. W. Wenzel and R. M. White, "A multisensor employing an ultrasonic Lamb-wave oscillator," IEEE Trans. Electron. Devices, vol. 35, pp. 735-743, 1988.
19. A. Moreau, S. Adenwalla, and J. B. Ketterson, "Sound velocity measurements in thin films," in Proc. IEEE Ultrason. Symp., 1998, pp. 315-318.
20. S. G. Joshi and Y. Jin, "Excitation of ultrasonic waves in piezoelectric plates," J. Appl. Phys., vol. 69, pp. 8018-8024, 1991.
21. M. S. Kushwaha, P. Halevi, and G. Martinez, "Theory of acoustic band structure of periodic elastic composites," Phys. Rev. B, vol. 49, pp. 2313-2322, 1994.
22. M. Kafesaki and E. N. Economou, "Multiple-scattering theory for three-dimensional periodic acoustic composites," Phys. Rev. B, vol. 60, pp. 11993-12001, 1999.
23. Y. Tanaka, Y. Tomoyasu, and S. Tamura, "Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch," Phys. Rev. B, vol. 62, pp. 7387-7392, 2000.
24. P.-F. Hsieh, T.-T. Wu, and J.-H. Sun, "Three-dimensional phononic band gap calculations using the FDTD method and a PC cluster system," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 53, pp. 148-158, 2006.
25. M. M. Sigalas and E. N. Economou, "Elastic waves in plates with periodically placed inclusions," J. Appl. Phys., vol. 75, pp. 2845-2850, 1994.
26. M. Wilm, S. Ballandras, V. Laude, and T. Pastureaud, "A full 3D plane-wave-expansion model for 1-3 piezoelectric composite structures," J. Acoust. Soc. Amer., vol. 112, pp. 943-952, 2002.
27. J.-C. Hsu and T.-T. Wu, "Propagation of Lamb waves in phononic-crystal plates," J. Mech., vol. 23, pp. 223-228, 2007.
28. R. Sainidou and N. Stefanou, "Guided and quasiguided waves in phononic crystal slabs," Phys. Rev. B, vol. 73, pp. 184301-1-7, 2006.
29. H. F. Tiersten and R. D. Mindlin, "Forced vibrations of piezoelectric crystal plates," Q. Appl. Math., vol. 22, pp. 107-119, 1962.
30. R. D. Mindlin, "High frequency vibrations of piezoelectric crystal plates," Int. J. Solid Struct., vol. 8, pp. 895-906, 1972.
31. R. D. Mindlin, "Frequencies of piezoelectrically forced vibrations of electroded, doubly rotated, quartz plates," Int. J. Solid Struct., vol. 20, pp. 141-157, 1984.
32. J. Wang and J. Yang, "Higher-order theories of piezoelectric plates and applications," Appl. Mech. Rev., vol. 53, pp. 87-99, 2000.