Abstract
A theoretical analysis of the lateral resonances in 1–3 piezocomposites with poling initial stress is conducted using the Bloch wave theory. Based on the linear piezoelectricity theory, theoretical formulations that include initial stress for the propagation of acoustic plane waves are made. Numerical calculations are performed to study the effects of the initial stress on the lateral mode frequencies and the stop band. It is found that lateral mode frequencies increase with the piezoelectricity of the piezocomposites, but decrease with the poling initial stress. The influence of the initial shear stress on the lateral mode frequencies is minimal, and can thus be neglected.
Similar content being viewed by others
References
Smith W A. The role of piezocomposites in ultrasonic transducers[C]. In: Proceedings of the IEEE Ultrasonics Symposium, 1996, 755–766.
Gururaja T R, Schulze W A, Cross L E, et al. Piezoelectric composites materials for ultrasonic transducer applications. Part I: Resonant modes of vibration of PZT rod-polymer composites[J]. IEEE Trans Ultrason Ferroelectr Freq Control, 1985, 32(4):481–498.
Gomez H, Negreira C, Aulet A, et al. Influence of elastic characteristics of the polymer/resin in later resonances of piezocomposites(1–3)[C]. In: Proc IEEE Ultrasonics Symposium, 1996, 535–538.
Auld B A, Wang Y. Acoustic wave vibrations in periodic composite plates[C]. In: Proc IEEE Ultrason Symp, 1984, 528–532.
Wang Y. Waves and vibrations in elastic superlattice composites[D]. Ph D Dissertation, Stanford: Stanford Univ, 1986.
Certon D, Patat F, Casula O, et al. Theoretical and experimental investigations of lateral modes in 1–3 piezocomposites[J]. IEEE Trans Ultrason Ferroelectr Freq Control, 1997, 44(3):643–651.
Certon D, Patat F, Levassort F, et al. Lateral resonances in 1–3 piezoelectric periodic composite: modeling and experimental results[J]. J Acoust Soc Am, 1997, 101(4):2043–2051.
Wilm M, Ballandras S, Laude V, et al. A plane-wave-expansion approach for modeling acoustic propagation in 2D and 3D piezoelectric periodic structures[C]. In: Proceedings of the 2001 IEEE Ultrasonics Symposium, 2001, 977–980.
Wilm M, Ballandras S, Laude V. A full 3D plane-wave-expansion model for 1–3 piezoelectric composite structures[J]. J Acoust Soc Am, 2002, 112(3):943–952.
Kittel C. Introduction to solid state physics[M]. 5th Ed. New York: Wiley, 1976.
Hauke T, Steinhausen R, Seifert W, et al. Modeling of poling behavior of ferroelectric 1–3 composites[J]. J Appl Phys, 2001, 89(9):5040–5047.
Zhang H Y, Li L X, Shen Y P. Modeling of poling behavior of ferroelectric 3–3 composites[J]. Int J Eng Sci, 2005, 43(4):1138–1156.
Author information
Authors and Affiliations
Corresponding author
Additional information
Contributed by SHEN Ya-peng
Project supported by the National Natural Science Foundation of China (Nos.90205030 and 10472088)
Rights and permissions
About this article
Cite this article
Zhang, Hy., Shen, Yp. & Yin, Gs. Lateral resonances in initial stressed 1–3 piezocomposites. Appl Math Mech 28, 873–881 (2007). https://doi.org/10.1007/s10483-007-0704-x
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10483-007-0704-x