This comparative study acquaints the reader with some properties of the eighth and tenth new shear-horizontal surface acoustic waves (SH-SAWs) propagating along the free surface of the magnetoelectroelastic (6 mm) medium. These new nondispersive SH-SAWs cannot exist when the electromagnetic constant α is equal to zero. The piezoelectromagnetic SH bulk acoustic wave and the surface Bleustein-Gulyaev-Melkumyan (BGM) wave are also chosen for comparison. The main problem of this report is the demonstration of the fact that the new waves can propagate slower than the BGM wave. This problem can be very important due to the fact that among the other known SH-SAWs the BGM wave can propagate significantly slower than the corresponding SH bulk acoustic wave. Two new SH-SAWs are analytically and graphically studied in dependence on the electromagnetic constant α. For the graphical study, two (6 mm) composites are used: BaTiO3– CoFe2O4 and PZT-5H–Terfenol-D. For the second composite it is solidly demonstrated that for small values of α, the eighth new SH-SAW cannot exist and its velocity starts with zero at some small threshold value of α rapidly reaching the BGM-wave velocity. This means that a weak magnetoelectric effect can dramatically slow down the speed of either new SH-SAW. As a result, the studied new SH-SAWs can be suitable for creation of new technical devices to sense the magnetoelectric effect. For the analytical study, extreme and inflexion points were evaluated in the velocities’ dependencies on the value of the electromagnetic constant α.
References
[1]
Bleustein, J.L. (1968) A New Surface Wave in Piezoelectric Materials. Applied Physics Letters, 13, 412-413.
http://dx.doi.org/10.1063/1.1652495
[2]
Gulyaev, Yu.V. (1969) Electroacoustic Surface Waves in Solids. Soviet Physics Journal of Experimental and Theoretical Physics Letters, 9, 37-38.
[3]
Gulyaev, Yu.V. (1998) Review of Shear Surface Acoustic Waves in Solids. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 45, 935-938. http://dx.doi.org/10.1109/58.710563
[4]
Melkumyan, A. (2007) Twelve Shear Surface Waves Guided by Clamped/Free Boundaries in Magneto-Electro-Elastic Materials. International Journal of Solids and Structures, 44, 3594-3599.
http://dx.doi.org/10.1016/j.ijsolstr.2006.09.016
[5]
Zakharenko, A.A. (2010) Propagation of Seven New SH-SAWs in Piezoelectromagnetics of Class 6 mm. LAP LAMBERT Academic Publishing GmbH & Co. KG, Saarbruecken-Krasnoyarsk, 84 p.
[6]
Zakharenko, A.A. (2011) Analytical Investigation of Surface Wave Characteristics of Piezoelectromagnetics of Class 6 mm. International Scholarly Research Network (ISRN) Applied Mathematics, 2011, Article ID: 408529.
http://dx.doi.org/10.5402/2011/408529
[7]
Zakharenko, A.A. (2013) Piezoelectromagnetic SH-SAWs: A Review. Canadian Journal of Pure & Applied Sciences (SENRA Academic Publishers, Burnaby, British Columbia, Canada), 7, 2227-2240.
[8]
Wang, B.L., Mai, Y.-W. and Niraula, O.P. (2007) A Horizontal Shear Surface Wave in Magnetoelectroelastic Materials. Philosophical Magazine Letters, 87, 53-58. http://dx.doi.org/10.1080/09500830601096908
[9]
Wei, W.-Y., Liu, J.-X. and Fang, D.-N. (2009) Existence of Shear Horizontal Surface Waves in a Magneto-Electro-Elastic Material. Chinese Physics Letters, 26, Article ID: 104301.
[10]
Zakharenko, A.A. (2011) Seven New SH-SAWs in Cubic Piezoelectromagnetics. LAP LAMBERT Academic Publishing GmbH & Co. KG, Saarbruecken-Krasnoyarsk, 172 p.
[11]
Zakharenko, A.A. (2013) New Nondispersive SH-SAWs Guided by the Surface of Piezoelectromagnetics. Canadian Journal of Pure & Applied Sciences, 7, 2557-2570.
[12]
Zakharenko, A.A. (2015) A Study of New Nondispersive SH-SAWs in Magnetoelectroelastic Medium of Symmetry Class 6 mm. Open Journal of Acoustics, 5. (in press)
[13]
Lardat, C., Maerfeld, C. and Tournois, P. (1971) Theory and Performance of Acoustical Dispersive Surface Wave Delay Lines. Proceedings of the IEEE, 59, 355-364. http://dx.doi.org/10.1109/PROC.1971.8177
[14]
Dieulesaint, E. and Royer, D. (1980) Elastic Waves in Solids: Applications to Signal Processing. Wiley, New York, Chichester [English], Translated by Bastin, A. and Motz, M., 511 p.
[15]
Kimura, T. (2012) Magnetoelectric Hexaferrites. Annual Review of Condensed Matter Physics, 3, 93-110.
http://dx.doi.org/10.1146/annurev-conmatphys-020911-125101
[16]
Pullar, R.C. (2012) Hexagonal Ferrites: A Review of the Synthesis, Properties and Applications of Hexaferrite Ceramics. Progress in Materials Science, 57, 1191-1334. http://dx.doi.org/10.1016/j.pmatsci.2012.04.001
[17]
Srinivasan, G. (2010) Magnetoelectric Composites. Annual Review of Materials Research, 40, 153-178.
http://dx.doi.org/10.1146/annurev-matsci-070909-104459
[18]
Özgür, ü., Alivov, Ya. and Morkoç, H. (2009) Microwave Ferrites, Part 2: Passive Components and Electrical Tuning. Journal of Materials Science: Materials in Electronics, 20, 911-952. http://dx.doi.org/10.1007/s10854-009-9924-1
[19]
Fiebig, M. (2005) Revival of the Magnetoelectric Effect. Journal of Physics D: Applied Physics, 38, R123-R152.
http://dx.doi.org/10.1088/0022-3727/38/8/R01
[20]
Durdag, K. (2009) Wireless Surface Acoustic Wave Sensors. Sensors and Transducers Journal, 106, 1-5.
[21]
Thompson, R.B. (1990) Physical Principles of Measurements with EMAT Transducers. In: Mason, W.P. and Thurston, R.N., Eds., Physical Acoustics, Academic Press, New York, Vol. 19, 157-200.
http://dx.doi.org/10.1016/b978-0-12-477919-8.50010-8
[22]
Hirao, M. and Ogi, H. (2003) EMATs for Science and Industry: Non-Contacting Ultrasonic Measurements. Kluwer Academic, Boston. http://dx.doi.org/10.1007/978-1-4757-3743-1
[23]
Ribichini, R., Cegla, F., Nagy, P.B. and Cawley, P. (2010) Quantitative Modeling of the Transduction of Electromagnetic Acoustic Transducers Operating on Ferromagnetic Media. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 57, 2808-2817. http://dx.doi.org/10.1109/TUFFC.2010.1754
[24]
Zakharenko, A.A. (2012) On Wave Characteristics of Piezoelectromagnetics. Pramana—Journal of Physics, 79, 275-285. http://dx.doi.org/10.1007/s12043-012-0308-3
[25]
Zakharenko, A.A. (2015) On Separation of Exchange Term from the Coefficient of the Magnetoelectromechanical Coupling. Pramana—Journal of Physics, 85. (In press)
[26]
Wang, B.-L. and Mai, Y.-W. (2007) Applicability of the Crack-Face Electromagnetic Boundary Conditions for Fracture of Magnetoelectroelastic Materials. International Journal of Solids and Structures, 44, 387-398.
http://dx.doi.org/10.1016/j.ijsolstr.2006.04.028
[27]
Liu, T.J.-Ch. and Chue, Ch.-H. (2006) On the Singularities in a Bimaterial Magneto-Electro-Elastic Composite Wedge under Antiplane Deformation. Composite Structures, 72, 254-265. http://dx.doi.org/10.1016/j.compstruct.2004.11.009
[28]
Zakharenko, A.A. (2014) Investigation of SH-Wave Fundamental Modes in Piezoelectromagnetic Plate: Electrically Closed and Magnetically Closed Boundary Conditions. Open Journal of Acoustics, 4, 90-97.
http://dx.doi.org/10.4236/oja.2014.42009
[29]
Aboudi, J. (2001) Micromechanical Analysis of Fully Coupled Electro-Magneto-Thermo-Elastic Multiphase Composites. Smart Materials and Structures, 10, 867-877. http://dx.doi.org/10.1088/0964-1726/10/5/303
[30]
Wang, Y.-Z., Li, F.-M., Huang, W.-H., Jiang, X., Wang, Y.-Sh. and Kishimoto, K. (2008) Wave Band Gaps in Two-Dimensional Piezoelectric/Piezomagnetic Phononic Crystals. International Journal of Solids and Structures, 45, 4203-4210. http://dx.doi.org/10.1016/j.ijsolstr.2008.03.001
