1 |
IEEE Standards Board, 1987, IEEE Standard on Piezoelectricity, IEEE, New York.
|
2 |
Lerch, R.,1990, "Simulation of Piezoelectric Devices by Two-and Three-Dimensional Finite Elements," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, Vol. 37, pp. 233-247.
DOI
ScienceOn
|
3 |
Brillouin, L., 1946, Wave Propagation in Periodic Structures, McGraw-Hill Book Company, New York.
|
4 |
Kushwaha, M. S., Halevi, P., Dobrzynski, L. and Djafari-Rouhani, B., 1993, "Acoustic Band Structure of Periodic Elastic Composites," Phys. Rev. Lett. B, Vol. 71, No. 13, pp. 2022-2025.
DOI
ScienceOn
|
5 |
Sigmund, O., Jensen, J. S., 2003, "Systematic Design of Phononic Band-Gap Materials and Structures by Topology Optimization," Phil. Trans. R. Soc. Lond. A, Vol. 361, pp. 1001-1009.
DOI
ScienceOn
|
6 |
Pennec, Y., Djafari-Rouhani, B., Larabi, H., Vasseur, J. and Hladky-Hennion, A-C., 2009, "Phononic Crystals and Manipulation of Sound," Phys. Status Solidi C., Vol. 6, No. 9, 2080-2085.
DOI
|
7 |
Armenise, M. N., Campanella, C. E., Ciminelli, C., Dell'Olio, F. and Passaro, V. M. N., 2010, "Phononic and Photonic Band Gap Structures: Modeling and Applications," Physics Procedia, Vol. 3, No. 1, pp. 357-364.
DOI
ScienceOn
|
8 |
Solymar, L. and Shamonina, E., 2009, Waves in Metamaterials, Oxford University Press, New York.
|
9 |
Kim, J. E., Kim, D. S., Ma, P. S. and Kim, Y. Y., 2010, "Multi-Physics Interpolation for the Topology Optimization of Piezoelectric Systems," Comput. Methods Appl. Mech. Engrg., Vol. 199, pp. 3153-3168.
DOI
ScienceOn
|
10 |
Ewins, D. J., 2000, Modal Testing: Theory, Practice and Application, Research Studies Press Ltd., England.
|
11 |
Ha, Y. and Cho, S., 2006, "Design Sensitivity Analysis and Topology Optimization of Eigenvalue Problems for Piezoelectric Resonators," Smart Mater. Struct., Vol. 15, 1513-1524.
DOI
ScienceOn
|
12 |
Kafesaki, M., 1999, "Multiple-Scattering Theory for Three-Dimensional Periodic Acoustic Composites," Phys. Rev. B, Vol. 60, pp. 993-1001.
|
13 |
Hou, Z., Wu, F. and Liu, Y., 2004, "Phononic Crystals Containing Piezoelectric Material," Solid State Commun. Vol. 130, pp. 745-749.
DOI
ScienceOn
|
14 |
Wang, Y., Li, F., Wang, Y., Kishimoto, K. and Huang, W., 2009, "Tuning of Band Gaps for a Two-Dimensional Piezoelectric Phononic Crystal with a Rectangular Lattice," Acta. Mech. Sin., Vol. 25, pp. 65-71.
DOI
|
15 |
Robillard, J.-F., Matar, O. B., Vasseur, J. O., Deymier, P. A., Stippinger, M., Hladky-Hennion, A.-C., Pennec, Y. and Djafari-Rouhani, B., 2009, "Tunable Magnetoelastic Phononic Crystals, " Appl. Phys. Lett., Vol. 95, 124104.
DOI
ScienceOn
|
16 |
Vasseur, J. O., Deymier, P. A., Djafari-Rouhani, B., Pennec, Y. and Hladky-Hennion, A.-C., "Absolute Forbidden Bands and Waveguiding in Two-Dimensional Phononic Crystal Plates," Phys. Rev. B, Vol. 77, 085415.
DOI
ScienceOn
|
17 |
Wilm, M., Ballandras, S., Laude, V. and Pastureaud, T., 2002, "A Full 3D Plane-Wave-Expansion Model for 1-3 Piezoelectric Composite Structures," J. Acoust. Soc. Am., Vol. 112, No. 3, pp. 943-952.
DOI
ScienceOn
|
18 |
Garcia-Pablos, D., Sigalas, M., Montero de Espinosa, F. R., Torres, M., Kafesaki, M. and Garcia, N., 2000, "Theory and Experiments on Elastic Band Gaps," Phys. Rev. Lett., Vol. 84, No. 19, pp. 4349-4352.
DOI
ScienceOn
|
19 |
Hou, Z. and Fu, X., 2004, "Calculation Method to Study the Transmission Properties of Phononic Crystals," Phys. Rev. B, Vol. 70, 014304.
DOI
ScienceOn
|
20 |
Langlet, P., Hladky-Hennion, A-C. and Decarpigny, J-N., 1995, "Analysis of the Propagation of Plane Acoustic Waves in Passive Periodic Materials Using the Finite Element Method," J. Acoust. Soc. Am., Vol. 98, No. 5, pp. 2792-2800.
DOI
ScienceOn
|
21 |
Aberg, M. and Gudmundson, P., 1997, "The Usage of Standard Finite Element Codes for Computation of Dispersion Relations in Materials with Periodic Microstructure," J. Acoust. Soc. Am., Vol. 102, No. 4, pp. 2007-2013.
DOI
ScienceOn
|