Abstract.
The electromechanical coupling factor (K2) presents a key parameter in acoustic devices that reflects the influence of piezoelectricity on the phase velocity of elastic waves. The higher this coefficient, the stronger the dependence of the characteristics of wave propagation on the electric-system parameters. Here, we investigate numerically K2 for third- and fourth-order shear wave modes (SH2 and SH3) in arbitrarily anisotropic multilayered PZT-5H laminates with various orientations. The open-circuit (OC) and short-circuit (SC) are applied to determine this key parameter, while the SH2 and SH3 are chosen because they have a higher K2 in comparison with other SHm modes. Additionally, the effects of initial stresses are taken into account. We find that the initial stress has a significant influence on the SHm (m = 2, 3 modes, especially for thick laminates. The characteristics of SH2 and SH3 modes are analyzed for different thickness ratios of (010)-[100] to (0 - 10 -[100] and periods of PZT-5H layered structures. Results show that K2 varies with the thickness ratio and periods of the laminates. Overall, K2 can reach about 30% and 44% for SH2 and SH3 modes in a laminate with unit thickness ratio and period. Moreover, the sensitivity of K2 to the thickness of the middle layer is discussed in detail. The mechanical stresses, mechanical displacements, electric displacements and electric potentials for SH2 mode are discussed as illustrative examples. Results demonstrate that ([(010)-[100]/(0 - 10 -[100]/(010)-[100])N structures have some useful properties in the design of acoustic wave constructed from piezoelectric materials.
Similar content being viewed by others
References
J. Curie, P. Curie, Bull. Soc. Miner. France 3-4, 90 (1880)
G. Lippmann, Ann. Chim. Phys. 24, 145 (1881)
C.M. Lin, W.C. Lien, V.V. Felmetsger, M.A. Hopcroft, D.G. Senesky, A.P. Pisano, Appl. Phys. Lett. 97, 141907 (2010)
T. Aubert, J. Bardong, O. Legrani, O. Elmazria, M.B. Assouar, G. Bruckner, A. Talbi, J. Appl. Phys. 114, 014505 (2013)
P. Hauptmann, A. Lucklum, A. Piittmer, B. Henning, Sensors Actuat. A 67, 32 (1998)
I.T. Tang, H.J. Chen, W.C. Hwang, Y.C. Wang, M.P. Houng, Y.H. Wang, J. Cryst. Growth 262, 461 (2004)
C.W. Lim, L.H. He, Int. J. Mech. Sci. 43, 2479 (2001)
J. Sun, X. Xu, C.W. Lim, Z. Zhou, S. Xiao, Compos. Struct. 141, 221 (2016)
D. Berlincourt, in Ultrasonic Transducer Materials, edited by O.E. Mattiat (Springer, Boston, 1971) Chapt. 2, p. 63, https://doi.org/10.1007/978-1-4757-0468-6_2
C. Othmani, F. Takali, A. Njeh, Optik 148, 63 (2017)
F. Ebrahimi, M.R. Barati, Eur. Phys. J. Plus 132, 88 (2017)
Y. Wenjun., L. Xu., S. Shengping, Philos. Mag. 97, 3186 (2017)
Y. Wenjun, D. Qian, L. Xu, S. Shengping, Smart Mater. Struct. 27, 1 (2018)
F. Ebrahimi, A. Dabbagh, Eur. Phys. J. Plus 132, 153 (2017)
F. Ebrahimi, A. Dabbagh, Eur. Phys. J. Plus 133, 97 (2018)
C. Othmani, F. Takali, A. Njeh, Eur. Phys. J. Plus 132, 504 (2017)
C. Othmani, F. Takali, A. Njeh, Superlattices Microstruct. 106, 86 (2017)
C. Othmani, F. Takali, A. Njeh, Superlattices Microstruct. 111, 396 (2017)
C. Othmani, F. Takali, A. Njeh, M.H. Ben Ghozlen, Optik 142, 401 (2017)
C. Liu, Z. Bian, W. Chen, C. Lü, Compos. Struct. 113, 145 (2014)
Y. Zhou, W. Chen, C. Lü, Composites Part B 43, 3001 (2012)
A. Singhal, S.A. Sahu, S. Chaudhary, Composites Part B 144, 19 (2018)
A. Singhal, S.A. Sahu, S. Chaudhary, Compos. Struct. 184, 714 (2018)
F. Takali, S. Msedi, C. Othmani, A. Njeh, W. Donner, M.H. Ben Ghozlen, Acta Mech. 230, 1027 (2019)
B. Masserey, P. Fromme, NDT & E Inter. 42, 564 (2009)
D. Singh, M. Castaings, C. Bacon, NDT & E Int. 44, 394 (2011)
O.S. Narayanaswamy, J. Am. Ceram. Soc. 61, 146 (1978)
J.S. Wang, A.G. Evans, Acta Mater. 46, 4993 (1998)
P. Fornara, A. Poncet, in Proceedings of the International Electron Devices Meeting (IEEE, 1996) pp. 73--76
F.S. Hickernell, Thin films for SAW devices, in Advances in Surface Acoustic Wave Technology, Systems and Applications, edited by Clemens C.W. Ruppel, Tor A. Fjeldly (World Scientific, 2000) pp. 51--100 https://doi.org/10.1142/4518
José Mari Orellana, Bernard Collet, http://www.sea-acustica.es/fileadmin/publicaciones/Sevilla02_phagen023.pdf
H.Q. Li, K.M. Leung, K.L. Ma, Q. Ye, Y.M. Chong, Y.S. Zou, W.J. Zhang, S.T. Lee, I. Belloa, Appl. Phys. Lett. 91, 201918 (2007)
Y.Y. Zhou, C.F. Lü, W.Q. Chen, Compos. Struct. 94, 2736 (2012)
J. Yu, Ch. Zhang, Appl. Math. Model. 38, 464 (2014)
S.A. Sahu, A. Singhal, S. Chaudhary, J. Intell. Mater. Syst. Struct. 29, 423 (2017)
C. Othmani, S. Dahmen, A. Njeh, M.H. Ben Ghozlen, Mech. Res. Commun. 74, 27 (2016)
C. Othmani, F. Takali, A. Njeh, M.H. Ben Ghozlen, Physica B 496, 82 (2016)
C. Othmani, A. Njeh, M.H. Ben Ghozlen, Aerospace Sci. Technol. 78, 377 (2018)
F. Takali, A. Njeh, D. Schneider, M.H. Ben Ghozlen, Acta Acust. united Ac. 98, 223 (2012)
I. Ben salah, A. Njeh, M.H. Ben Ghozlen, EPJ Web of Conferences 29, 00044 (2012)
D. Royer, D. Dieulesaint, Automatique appliquée, tome 1 (Masson, 1997)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Othmani, C., Zhang, H., Lü, C. et al. Effects of initial stresses on the electromechanical coupling coefficient of SH wave propagation in multilayered PZT-5H structures. Eur. Phys. J. Plus 134, 551 (2019). https://doi.org/10.1140/epjp/i2019-12891-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2019-12891-7