DISPERSION PROPERTIES OF A COMPOSITE PLATE FROM INHOMOGENEOUS PIEZO- AND DIELECTRIC LAYERS
- 作者: Belyankova T.I1, Vorovich E.I2, Kalinchuk V.V1
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隶属关系:
- Federal Research Centre the Southern Scientific Centre of the Russian Academy of Sciences
- Don State Technical University
- 期: 卷 18, 编号 4 (2022)
- 页面: 19-28
- 栏目: Articles
- URL: https://journals.eco-vector.com/2500-0640/article/view/627591
- DOI: https://doi.org/10.7868/S25000640220402
- ID: 627591
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详细
An approach to the study of the dispersion properties of a composite plate of inhomogeneous piezoelectric and dielectric layers is proposed. When modeling the heterogeneity of the layers, a two-component model was used with a functionally gradient change in properties from the parameters of the base material to the parameters of another one. The outer surfaces of the plate are assumed to be free from mechanical stresses. Electrically they can be either open and border on vacuum, or short-circuited. The surface of the dielectric layer is assumed to be open and borders on vacuum. On the example of the problem of shear, initiated by an infinitely distant source of harmonic oscillations of a plate, the influence of the nature of the inhomogeneity, its localization, and the size of the region of transition of one material into another on the dispersion properties of the structure in a wide frequency range is studied. The results of the study are presented in dimensionless parameters, presented in the form of graphs, and may be of particular interest in the development, design and optimization of functionally oriented materials and structures used in the creation of new micro- and nanoscale devices and devices based on surface acoustic SH waves with high performance characteristics.
作者简介
T. Belyankova
Federal Research Centre the Southern Scientific Centre of the Russian Academy of SciencesRostov-on-Don, Russian Federation
E. Vorovich
Don State Technical UniversityRostov-on-Don, Russian Federation
V. Kalinchuk
Federal Research Centre the Southern Scientific Centre of the Russian Academy of Sciences
Email: kalin@ssc-ras.ru
Rostov-on-Don, Russian Federation
参考
- Tiersten H.F. 1969. Linear piezoelectric plate vibrations. New York, Plenum Press: 211 p.
- Mindiin R.D. 1955. An introduction to the mathematical theory of vibrations of elastic plates. World Scientific Publishing Co Pte Ltd: 190 p.
- Achenbach J.D. 1973. Wave propagation in elastic solids. Amsterdam, North-Holland: 425 p.
- Matthews H. 1977. Surface wave filters. Design, construction and use. New York, John Wiley & Sons: 521 p.
- Ash E.A., Farnell G.W., Gerard H.M., Oliner A.A., Slobodnik A.J., Smith H.I. 1978. Acoustic surface waves. Berlin, Heidelberg, Springer Verlag: XI + 334 p. doi: 10.1007/3-540-08575-0
- Гринченко В.Т., Мелешко В.В. 1981. Гармонические колебания и волны в упругих телах. Киев, Наукова думка: 283 с.
- Maugin G.A., Attou D. 1990. An asymptotic theory of thin piezoelectric plates. Q. J. Mech. Appl. Math. 43: 347–362. doi: 10.1093/qjmam/43.3.347
- Бреховских Л.М., Годин О.А. 1989. Акустика слоистых сред. М., Наука: 416 с.
- Wang J., Yang J. 2000. Higher-order theories of piezoelectric plates. Appl. Mech. Rev. 53(4): 87–99. doi: 10.1115/1.3097341
- Favretto-Cristini N., Komatitsch D., Carcione J.M., Cavallini F. 2011. Elastic surface waves in crystals. Part 1: Review of the physics. Ultrasonics. 51(6): 653–660. doi: 10.1016/j.ultras.2011.02.007
- Alshits V.I., Maugin G.A. 2005. Dynamics of multilayer’s: elastic waves in an anisotropic graded or stratified plate. Wave Motion. 41(4): 357–394. doi: 10.1016/j.wavemoti.2004.09.002
- Shuvalov A.L., Poncelet O., Kiselev A.P. 2008. Shear horizontal waves in transversely inhomogeneous plates. Wave Motion. 45(5): 605–615. doi: 10.1016/j.wavemoti.2007.07.008
- Kuznetsov S.V. 2014. Dispersion of SH and love waves. International Journal of Physics. 2(5): 170–180. doi: 10.12691/ijp-2-5-7
- Liu G.R., Tani J. 1994. Surface waves in functionally gradient piezoelectric plates. Journal of Vibration and Acoustics. 116(4):440–448. doi: 10.1115/1.2930447
- Zagrouba M., Bouhdima M.S. 2021. Investigation of SH wave propagation in piezoelectric plates. Acta Mechanica. 232(9):3363–3379. doi: 10.1007/s00707-021-02990-x
- Cao X.S., JinF., Wang Z.K. 2008. Theoretical investigation on horizontally shear waves in a functionally gradient piezoelectric material plate. Advanced Materials Research. 33–37: 707–712. doi: 10.4028/ href='www.scientific.net/amr.33-37.707' target='_blank'>www.scientific.net/amr.33-37.707
- Nie G., An Z., Liu J. 2009. SH-guided waves in layered piezoelectric/piezomagnetic plates. Progress in Natural Science. 19(7): 811–816. doi: 10.1016/j.pnsc.2008.10.007
- Ezzin H., Amor M.B., Ghozlen M.H.B. 2016. Propagation behavior of SH waves in layered piezoelectric/piezomagnetic plates. Acta Mechanica. 228(3): 1071–1081. doi: 10.1007/s00707-016-1744-9
- Wang Q. 2002. SH wave propagation in piezoelectric coupled plates. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control. 49(5): 596–603. doi: 10.1109/tuffc.2002.1002458
- Son M.S., Kang Y.J. 2011. Propagation behavior of SH waves in layered piezoelectric plates. Journal of Mechanical Science and Technology. 25(3): 613–619. doi: 10.1007/s12206-011-0114-8
- Belyankova T.I., Kalinchuk V.V. 2021. Shear horizontal waves in piezoelectric structures with a functionally graded coating. Mechanics of Advanced Materials and Structures. 28(5): 486–494. doi: 10.1080/15376494.2019.1578006
- Belyankova T.I., Vorovich E.I., Kalinchuk V.V., Tukodova O.M. 2020. Peculiarities of surface acoustic waves, propagation in structures with functionally graded piezoelectric materials, coating from different ceramics on the basis of PZT. Journal of Advanced Dielectrics. 10(1–2): 2060017. doi: 10.1142/S2010135X20600176
- Belyankova T.I., Vorovich E.I., Kalinchuk V.V., Tukodova O.M. 2021. Specific features of SH-waves propagation in structures with prestressed inhomogeneous coating made of piezoceramics based on LiNbO3. Journal of Advanced Dielectrics. 11(4–5): 2160007. doi: 10.1142/S2010135X21600079
- Babeshko V.A., Evdokimova O.V., Babeshko O.M., Ryadchikov I.V. 2018. A method for the design of inhomogeneous materials and block structures. Doklady Physics. 63(10): 402–406. doi: 10.1134/S1028335818100014
- Igumnov L.A., Markov I.P. 2018. A boundary element approach for 3d transient dynamic problems of moderately thick multilayered anisotropic elastic composite plates. Materials Physics and Mechanics. 37(1): 79–83. doi: 10.18720/MPM.3712018_11