Microstructural considerations on SH-wave propagation in a piezoelectric layered structure

• Autorzy: Goyal R. , Kumar S.

Identyfikatory

DOI

10.15632/jtam-pl.56.4.993

• Języki publikacji: EN

Abstrakty

EN

Shear wave based acoustic devices are being used in gaseous and liquid environments because of their high-sensitivity. The theoretical study of horizontally polarized shear (SH) waves in a layered structure consisting of a piezoelectric ceramic of P ZT − 5H or BaT iO3 material overlying a couple stress substrate is presented in this paper. The considered substrate is supposed to be exhibiting microstructural properties. The closed form expression of dispersion relations are derived analytically for electrically open and short conditions. The effects of internal microstructures of the couple stress substrate, thickness of P ZT − 5H or BaT iO3 ceramic, piezoelectric and dielectric constants are illustrated graphically on the phase velocity of the piezoelectric layer under electrically open and short conditions.

Słowa kluczowe

EN

SH-wave; piezoelectricity; couple stress; characteristic length

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2018
• Tom: Vol. 56 nr 4
• Strony: 993--1004
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Goyal R.

• School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, India

autor

Kumar S.

• School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, India

Bibliografia

• 1. Cosserat E., Cosserat F., 1909, Theory of Deformable Bodies (in French), A Hermann et Fils, Paris
• 2. Eringen A.C., 1968, Theory of micropolar elasticity, [In:] Fracture, H. Liebowitz (Edit.), Academic Press New York, 2, 662-729
• 3. Ezzin H., Amor M.B., Ghozlen M.H.B., 2017, Propagation behavior of SH waves in layered piezoelectric/piezomagnetic plates, Acta Mechanica, 228, 3, 1071-1081
• 4. Gupta V., Vashishth A.K., 2016, Effects of piezoelectricity on bulk waves in monoclinic poroelastic materials, Journal of Theoretical and Applied Mechanics, 54, 2, 571-577
• 5. Hadjesfandiari A.R., Dargush G.F., 2011, Couple stress theory for solids, International Journal of Solids and Structures, 48, 2496-2510
• 6. Jakoby B., Vellekoop M.J., 1997, Properties of Love waves: Applications in sensors, Smart Materials and Structures, 6, 668-679
• 7. Koiter W., 1964, Couple stresses in the theory of elasticity – I and II, Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen, 67, 17-44
• 8. Liu H., Wang Z.K., Wang T.J., 2001, Effect of initial stress on the propagation behavior of Love waves in a layered piezoelectric structure, International Journal of Solids and Structures, 38, 1, 37-51
• 9. Liu J., He S., 2010, Properties of Love waves in layered piezoelectric structures, International Journal of Solids and Structures, 47, 2, 169-174
• 10. Mindlin R.D., Tiersten H.F., 1962, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and Analysis, 11, 415-448
• 11. Sharma V., Kumar S., 2017, Dispersion of SH waves in a viscoelastic layer imperfectly bonded with a couple stress substrate, Journal of Theoretical and Applied Mechanics, 55, 2, 535-546
• 12. Singh A.K., Kumar S., Chattopadhyay A., 2015, Love-type wave propagation in a piezoelectric structure with irregularity, International Journal of Engineering Science, 89, 35-60
• 13. Vardoulakis I., Georgiadis H.G., 1997, SH surface waves in a homogeneous gradient-elastic half-space with surface energy, Journal of Elasticity, 47, 2, 147-165
• 14. Voigt W., 1887, Theoretical Studies on the Elasticity Relationships of Crystals (in German), Abhandlungen der Gesellschaft der Wissenschaften zu Gttingen, 34
• 15. Wang H.M., Zhao Z.C., 2013, Love waves in a two-layered piezoelectric/elastic composite plate with an imperfect interface, Archive of Applied Mechanics, 83, 1, 43-51
• 16. Wang Q., 2002, Wave propagation in a piezoelectric coupled solid medium, Journal of Applied Mechanics, 69, 6, 819-824
• 17. Wang Y., Wang M., Liu J., 2012, Propagation behaviors of SH waves in piezoelectric layer/elastic cylinder with an imperfect interface, Applied Mechanics and Materials, 151, 130-134
• 18. Wei W., Liu J., Fang D., 2009, Shear horizontal surface waves in a piezoelectric-piezomagnetic coupled layered half-space, International Journal of Nonlinear Sciences and Numerical Simulation, 10, 6, 767-778

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).