Wave propagation in a prestressed piezoelectric half-space. (English) Zbl 1204.74025
Author’s abstract: We study the reflection of plane waves at a traction-free and electrically shorted/charge-free surface of a prestressed piezoelectric medium. The reflection coefficients of qP and qSV waves are derived for electrically shorted and charge-free cases. The effect of initial stress on the reflection coefficients is discussed for a particular example of lithium niobate.
Reviewer: Eugeni Syrkin (Khar’kov)
References:
| [1] | Tiersten H.F.: Linear Piezoelectric Plate Vibrations. Plenum, New York (1969) |
| [2] | Kyame J.J.: Wave propagation in piezoelectric crystals. J. Acoust. Soc. Am. 21, 159–167 (1949) · doi:10.1121/1.1906490 |
| [3] | Pailloux P.M.H.: Piezoelectricite calcul des vitesses de propagation. Le Journal de Physique et le Radium 19, 523–526 (1958) · Zbl 0089.23805 · doi:10.1051/jphysrad:01958001905052300 |
| [4] | Hruska K.: The rate of propagation of ultrasonic waves in ADP and in Voigt’s theory. Czech. J. Phys. B16, 446–453 (1966) · doi:10.1007/BF01696256 |
| [5] | Spaight R.N., Koerber G.G.: Piezoelectric surface waves on LiNbO3. IEEE Trans. Sonics Ultrason. SU-18, 237–238 (1971) |
| [6] | Bluestein J.L.: A new surface wave in piezoelectric medium. Appl. Phys. Lett. 13, 412–413 (1968) · doi:10.1063/1.1652495 |
| [7] | Cheng N.C., Sun C.T.: Wave propagation in two-layered piezoelectric plates. J. Acoust. Soc. Am. 57, 632–638 (1974) · Zbl 0296.73069 · doi:10.1121/1.380479 |
| [8] | Abbudi M., Barnett D.M.: On the existence of interfacial (Stoneley) waves in bonded piezoelectric half-spaces. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 429, 587–611 (1990) · Zbl 0726.73062 · doi:10.1098/rspa.1990.0075 |
| [9] | Li S.: The electromagneto-acoustic surface wave in a piezoelectric medium: the Bleustein-Gulyaev mode. J. Appl. Phys. 80, 5264–5269 (1996) · doi:10.1063/1.363466 |
| [10] | Yang J.S.: Bleustein-Gulyaev waves in piezoelectromagnetic materials. Int. J. Appl. Elect. Mech. 12, 235–240 (2000) |
| [11] | Fang H., Yang J., Jiang Q.: Surface acoustic waves propagating over a rotating piezoelectric half-space. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 48, 998–1004 (2001) · doi:10.1109/58.935716 |
| [12] | Wang Q., Quek S.T., Varadan V.K.: Love wave propagation in piezoelectric coupled media. Smart Mater. Struct. 10, 380–388 (2001) · doi:10.1088/0964-1726/10/2/325 |
| [13] | Wang Q.: Wave propagation in a piezoelectric coupled solid medium. J. Appl. Mech. 69, 819–824 (2002) · Zbl 1110.74743 · doi:10.1115/1.1488662 |
| [14] | Hu Y.T., Yang J.S., Jiang Q.: Surface waves in electrostrictive materials under biasing fields. Z. Angew. Math. Phys. 55, 678–700 (2004) · Zbl 1103.74044 · doi:10.1007/s00033-004-1105-8 |
| [15] | Yang J.S., Zhou H.G.: An interface wave in piezoelectromagnetic materials. Int. J. Appl. Elect. Mech. 21, 63–68 (2005) |
| [16] | Yang J.S.: A review of a few topics in piezoelectricity. Appl. Mech. Rev. 59, 335–345 (2006) · doi:10.1115/1.2345378 |
| [17] | White, R.W.: Acoustic sensors for physical, chemical and biochemical applications. In: Proceedings of IEEE International Frequency Control Symposium, pp. 587–594 (1998) |
| [18] | Sinha B.K., Tanski W.J., Lukaszek T., Ballato A.: Influence of biasing stresses on the propagation of surface waves. J. Appl. Phys. 57, 767–776 (1985) · doi:10.1063/1.334725 |
| [19] | Montanaro A.: Wave propagation along axes of symmetry in linear elastic media with initial stress. J. Elasticity 46, 217–221 (1997) · Zbl 0884.73012 · doi:10.1023/A:1007375130803 |
| [20] | Guz A.S.: Elastic waves in compressible materials with initial stress and a nondestructive ultrasonic method for the determination of biaxial residue stresses. Int. Appl. Mech. 30, 1–14 (1994) · doi:10.1007/BF00847148 |
| [21] | Chai J.F., Wu T.T.: Propagation of surface waves in a prestressed piezoelectric material. J. Acoust. Soc. Am. 100, 2112–2122 (1996) · doi:10.1121/1.417921 |
| [22] | Jin F., Wang Z.K., Wang T.J.: Propagation behavior of Love waves in a prestressed piezoelectric layered structure. Key Eng. Mater. (Switzerland) 183–187, 755–760 (2000) · doi:10.4028/www.scientific.net/KEM.183-187.755 |
| [23] | Simionescu-Panait O.: The influence of initial fields on wave propagation in piezoelectric crystals. Int. J. Appl. Elect. Mech. 12, 241–251 (2000) |
| [24] | Liu H., Kuang Z.B., Cai Z.M.: Propagation of surface acoustic waves in prestressed anisotropic layered piezoelectric structures. Acta Mech. Solida Sin. 16, 16–23 (2003) |
| [25] | Liu H., Kuang Z.B., Cai Z.M.: Propagation of Bleustein-Gulyaev waves in a prestressed layered piezoelectric structure. Ultrasonics 41, 397–405 (2003) · doi:10.1016/S0041-624X(03)00104-5 |
| [26] | Qian Z., Jin F., Wang Z., Kishimoto K.: Love waves propagation in a piezoelectric layered structure with initial stresses. Acta Mech. 171, 41–57 (2004) · Zbl 1062.74022 · doi:10.1007/s00707-004-0128-8 |
| [27] | Qian Z., Jin F., Kishimoto K., Wang Z.: Effect of initial stress on the propagation behavior of SH-waves in multilayered piezoelectric composite structures. Sens. Actuators A. Phys. 112, 368–375 (2004) · doi:10.1016/j.sna.2004.02.004 |
| [28] | Jin F., Qian Z., Wang Z., Kishimoto K.: Propagation behavior of Love waves in a piezoelectric layered structure with inhomogeneous initial stresses. Smart Mater. Struct. 14, 515–523 (2005) · doi:10.1088/0964-1726/14/4/009 |
| [29] | Su J., Kuang Z.B., Liu H.: Love wave in ZnO/SiO2/Si structure with initial stresses. J. Sound Vib. 286, 981–999 (2005) · doi:10.1016/j.jsv.2004.10.040 |
| [30] | Du J., Jin X., Wang J., Zhou Y.: SH wave propagation in a cylindrically layered piezoelectric structure with initial stress. Acta Mech. 191, 59–74 (2007) · Zbl 1140.74462 · doi:10.1007/s00707-007-0447-7 |
| [31] | Du J., Jin X., Wang J.: Love wave propagation in layered magneto-electro-elastic structures with initial stress. Acta Mech. 192, 169–189 (2007) · Zbl 1120.74028 · doi:10.1007/s00707-006-0435-3 |
| [32] | Every A.G., Neiman V.I.: Reflection of electroacoustic waves in piezoelectric solids: mode conversion into four bulk waves. J. Appl. Phys. 71, 6018–6024 (1992) · doi:10.1063/1.350457 |
| [33] | Darinskii A.N., Le Clezio E., Feuillard G.: The role of electromagnetic waves in the reflection of acoustic waves in piezoelectric crystals. Wave Motion 45, 428–444 (2008) · Zbl 1231.78015 · doi:10.1016/j.wavemoti.2007.08.001 |
| [34] | Weis R.S., Gaylord T.K.: Lithium niobate: summary of physical properties and crystal structure. Appl. Phys. A 37, 191–203 (1985) · doi:10.1007/BF00614817 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
