Abstract
The transverse-horizontal wave propagating in a semi-infinite piezoelectric solid with hexagonal symmetry subject to initial electromechanical fields is investigated in this paper. The electromechanical boundary value problem is solved, and the phase velocity, the displacement, and the electric potential are obtained. For a metallized boundary surface, the dependency of the solution on the initial fields for several piezoelectric crystals is analyzed. These results may be proved useful to model the propagation of waves in anisotropic piezoelectric structures subject to a bias, serving as a benchmark for further numerical and experimental approaches.
Similar content being viewed by others
References
Bleustein, J.L.: A new surface wave in piezoelectric materials. Appl. Phys. Lett. 13, 412–413 (1968)
Gulyaev, Yu.V: Electroacoustic surface waves in solids. Sov. Phys. JETP Lett. 9, 37–38 (1969)
Ganguly, M.: Bleustein-Gulyaev waves in a pre-stressed piezoelectric half space. Proc. Indian Natl. Sci. Acad. 50A(4), 375–381 (1984)
Jin, F., Wang, Z., Wang, Tiejun: The Bleustein–Gulyaev (B–G) wave in a piezoelectric layered half-space. Int. J. Eng. Sci. 39, 1271–1285 (2001)
Guo, F.L., Sun, R.: Propagation of Bleustein Gulyaev wave in 6 mm piezoelectric materials loaded with viscousliquid. Int. J. Solids Struct. 45, 3699–3710 (2008)
Singh, B.: Wave propagation in a prestressed piezoelectric half-space. Acta Mech. 211(3), 337–344 (2010)
Chen, W.: Surface effect on Bleustein–Gulyaev wave in a piezoelectric half-space. Theor. Appl. Mech. Lett. 1, 041001 (2011)
Gaur, A.M., Rana, D.S.: Dispersion relations for SH waves propagation in a porous piezoelectric (PZT-PVDF) composite structure. Acta Mech. 226, 4017 (2015). doi:10.1007/s00707-015-1443-y
Du, J., Jin, X., Wang, J.: Love wave propagation in layered magneto-electro-elastic structures with initial stress. Acta Mech. 192, 169 (2007). doi:10.1007/s00707-006-0435-3
Yang, J.: Bleustein–Gulyaev waves in strained piezoelectric ceramics. Mech. Res. Commun. 28, 679–683 (2001)
Wang, Q.: Wave propagation in a piezoelectric coupled solid medium. J. Appl. Mech. 69, 819–824 (2002)
Hu, Y., Yang, J., Jiang, Q.: Surface waves in electrostrictive materials under biasing fields. J. Appl. Math. Phys. (ZAMP) 55, 678–700 (2004)
Simionescu-Panait, O.: Waves in strained/polarized media. In: Yang, J. (ed.) Special Topics in the Theory of Piezoelectricity, pp. 169–246. Springer, New York (2009)
Simionescu-Panait, O., Ana, I.: On the coupling of guided waves propagation in piezoelectric crystals subject to initial fields. Math. Mech. Solids 14, 502–513 (2009)
Ana, I.: The generalized Rayleigh wave in an isotropic solid subject to initial fields. Ann. Univ. Bucharest (Math. Ser.) 1, 191–208 (2010)
Simionescu-Panait, O., Ana, I.: Guided waves propagation in an isotropic solid subject to a bias. Math. Mech. Solids 16, 208–216 (2011)
Simionescu-Panait, O., Ana, I.: Propagation of TH-waves in a pre-stressed layered formation. Mech. Adv. Mater. Struct. 23(6), 624–630 (2016)
Eringen, A.C., Maugin, G.A.: Electrodynamics of Continua, 1st edn. Springer, New York (1990)
Baesu, E., Fortuné, D., Soós, E.: Incremental behaviour of hyperelastic dielectrics and piezoelectric crystals. J. Appl. Math. Phys. (ZAMP) 54, 160–178 (2003)
Simionescu-Panait, O.: TH-waves propagation in crystals subject to initial fields. Bull. Transilv. Univ. Bras. Ser. III Math. Inf. Phys. 5(54), 259–274 (2012)
Royer, D., Dieulesaint, E.: Elastic waves in solids. Applications to signal processing. Wiley, New York (1980)
Ana, I.: Contribuţii la electrodinamica mediilor continue deformabile, (Unpublished doctoral thesis), University of Bucharest (2010)
Royer, D., Dieulesaint, E.: Elastic waves in solids I—Free and guided propagation. Springer, Berlin (2000)
Author information
Authors and Affiliations
Corresponding author
Additional information
Olivian Simionescu-Panait deceased in 2014.
Rights and permissions
About this article
Cite this article
Simionescu-Panait, O., Ana, I. Piezoelectric TH-wave propagation in anisotropic solids subject to a bias. Acta Mech 228, 4067–4081 (2017). https://doi.org/10.1007/s00707-017-1931-3
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-017-1931-3