A Study of New Nondispersive SH-SAWs in Magnetoelectroelastic Medium of Symmetry Class 6 mm

Abstract

Two additional solutions of new shear-horizontal surface acoustic waves (SH-SAWs) are found in this theoretical report. The SH-SAW propagation is managed by the free surface of a solid when it has a direct contact with a vacuum. The studied smart solid represents the transversely isotropic piezoelectromagnetic (magnetoelectroelastic or MEE) medium that pertains to crystal symmetry class 6 mm. In the developed theoretical treatment, the solid surface must be mechanically free. Also, the magnetic and electrical boundary conditions at the common interface between a vacuum and the solid surface read: the magnetic and electrical displacements must continue and the same for the magnetic and electrical potentials. To obtain these two new SH-SAW solutions, the natural coupling mechanisms such as eμ-hα and εμ-α2 present in the coefficient of the magnetoelectromechanical coupling (CMEMC) can be exploited. Based on the obtained theoretical results, it is possible that a set of technical devices (filters, sensors, delay lines, lab-on-a-chip, etc.) based on smart MEE media can be developed. It is also blatant that the obtained theoretical results can be helpful for the further theoretical and experimental studies on the propagation of the plate SH-waves and the interfacial SH-waves in the MEE (composite) media. The most important issue can be the influence of the magnetoelectric effect on the SH-wave propagation. One must also be familiar with the fact that the surface, interfacial, and plate SH-waves can frequently represent a common tool for nondestructive testing and evaluation of surfaces, interfaces, and plates, respectively.

Share and Cite:

Zakharenko, A. (2015) A Study of New Nondispersive SH-SAWs in Magnetoelectroelastic Medium of Symmetry Class 6 mm. Open Journal of Acoustics, 5, 95-111. doi: 10.4236/oja.2015.53009.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] 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.
[2] Nan, C.W. (1994) Magnetoelectric Effect in Composites of Piezoelectric and Piezomagnetic Phases. Physical Review B, 50, 6082-6088.
http://dx.doi.org/10.1103/PhysRevB.50.6082
[3] 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
[4] 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
[5] Kimura, T. (2012) Magnetoelectric Hexaferrites. Annual Review of Condensed Matter Physics, 3, 93-110.
http://dx.doi.org/10.1146/annurev-conmatphys-020911-125101
[6] 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
[7] Park, Ch.-S. and Priya, Sh. (2012) Broadband/Wideband Magnetoelectric Response.Advances in Condensed Matter Physics (Hindawi Publishing Corporation), 2012, Article ID: 323165.
[8] Bichurin, M.I., Petrov, V.M. and Petrov, R.V. (2012) Direct and Inverse Magnetoelectric Effect in Layered Composites in Electromechanical Resonance Range: A Review. Journal of Magnetism and Magnetic Materials, 324, 3548-3550.
http://dx.doi.org/10.1016/j.jmmm.2012.02.086
[9] Chen, T., Li, S. and Sun, H. (2012) Metamaterials Application in Sensing. MDPI Sensors, 12, 2742-2765.
http://dx.doi.org/10.3390/s120302742
[10] Bichurin, M., Petrov, V., Zakharov, A., Kovalenko, D., Yang, S.Ch., Maurya, D., Bedekar, V. and Priya, Sh. (2011) Magnetoelectric Interactions in Lead-Based and Lead-Free Composites. Materials, 4, 651-702.
http://dx.doi.org/10.3390/ma4040651
[11] Srinivasan, G. (2010) Magnetoelectric Composites. Annual Review of Materials Research, 40, 153-178.
http://dx.doi.org/10.1146/annurev-matsci-070909-104459
[12] Zhai, J., Xing, Z.-P., Dong, S.-X., Li, J.-F. and Viehland, D. (2008) Magnetoelectric Laminate Composites: An Overview. Journal of the American Ceramic Society, 91, 351-358.
http://dx.doi.org/10.1111/j.1551-2916.2008.02259.x
[13] Nan, C.W., Bichurin, M.I., Dong, S.X., Viehland, D. and Srinivasan, G. (2008) Multiferroic Magnetoelectric Composites: Historical Perspective, Status, and Future Directions. Journal of Applied Physics, 103, Article ID: 031101.
http://dx.doi.org/10.1063/1.2836410
[14] Eerenstein, W., Mathur, N.D. and Scott, J.F. (2006) Multiferroic and Magnetoelectric Materials. Nature, 442, 759-765.
http://dx.doi.org/10.1038/nature05023
[15] Spaldin, N.A. and Fiebig, M. (2005) The Renaissance of Magnetoelectric Multiferroics. Science, 309, 391-392.
http://dx.doi.org/10.1126/science.1113357
[16] Fiebig, M., Pavlov, V.V. and Pisarev, R.V. (2005) Magnetoelectric Phase Control in Multiferroic Manganites. Journal of the Optical Society of America B, 22, 96-118.
http://dx.doi.org/10.1364/JOSAB.22.000096
[17] Khomskii, D.I. (2006) Multiferroics: Different Ways to Combine Magnetism and Ferroelectricity. Journal of Magnetism and Magnetic Materials, 306, 1-8.
http://dx.doi.org/10.1016/j.jmmm.2006.01.238
[18] Cheong, S.-W. and Mostovoy, M. (2007) Multiferroics: A Magnetic Twist for Ferroelectricity. Nature Materials, 6, 13-20.
http://dx.doi.org/10.1038/nmat1804
[19] Ramesh, R. and Spaldin, N.A. (2007) Multiferroics: Progress and Prospects in Thin Films. Nature Materials, 6, 21-29.
http://dx.doi.org/10.1038/nmat1805
[20] Kimura, T. (2007) Spiral Magnets as Magnetoelectrics. Annual Review of Materials Research, 37, 387-413.
http://dx.doi.org/10.1146/annurev.matsci.37.052506.084259
[21] Kimura, T., Goto, T., Shintani, H., Ishizaka, K., Arima, T. and Tokura, Y. (2003) Magnetic Control of Ferroelectric Polarization. Nature, 426, 55-58.
http://dx.doi.org/10.1038/nature02018
[22] Wang, K.F., Liu, J.-M. and Ren, Z.F. (2009) Multiferroicity: The Coupling between Magnetic and Polarization Orders. Advances in Physics, 58, 321-448.
http://dx.doi.org/10.1080/00018730902920554
[23] Ramesh, R. (2009) Materials Science: Emerging Routes to Multiferroics. Nature, 461, 1218-1219.
http://dx.doi.org/10.1038/4611218a
[24] Delaney, K.T., Mostovoy, M. and Spaldin, N.A. (2009) Superexchange-Driven Magnetoelectricity in Magnetic Vertices. Physical Review Letters, 102, Article ID: 157203.
[25] Gopinath, S.C.B., Awazu, K. and Fujimaki, M. (2012) Waveguide-Mode Sensors as Aptasensors. MDPI Sensors, 12, 2136-2151.
http://dx.doi.org/10.3390/s120202136
[26] Fert, A. (2008) Origin, Development, and Future of Spintronics (Nobel Lectures). Reviews of Modern Physics, 80, 1517-1530.
http://dx.doi.org/10.1103/RevModPhys.80.1517
[27] Fert, A. (2008) Origin, Development, and Future of Spintronics (Nobel Lectures). Physics—Uspekhi, 51, 1336-1348 [Uspekhi Phizicheskikh Nauk (Moscow), 178, 1336-1348].
[28] Chappert, C. and Kim, J.-V. (2008) Metal Spintronics: Electronics Free of Charge. Nature Physics, 4, 837-838.
http://dx.doi.org/10.1038/nphys1122
[29] Bibes, M. and Barthélémy, A. (2008) Multiferroics: Towards a Magnetoelectric Memory. Nature Materials, 7, 425-426.
http://dx.doi.org/10.1038/nmat2189
[30] Prellier, W., Singh, M.P. and Murugavel, P. (2005) The Single-Phase Multiferroic Oxides—From Bulk to Thin Film. Journal of Physics: Condensed Matter, 17, R803-R832.
http://dx.doi.org/10.1088/0953-8984/17/30/R01
[31] Bichurin, M.I., Petrov, V.M., Filippov, D.A., Srinivasan, G. and Nan, S.V. (2006) Magnetoelectric Materials. Academia Estestvoznaniya Publishers, Moscow.
[32] Fetisov, Y.K., Bush, A.A., Kamentsev, K.E., Ostashchenko, A.Y. and Srinivasan, G. (2006) Ferrite-Piezoelectric Multilayers for Magnetic Field Sensors. The IEEE Sensor Journal, 6, 935-938.
http://dx.doi.org/10.1109/JSEN.2006.877989
[33] Srinivasan, G. and Fetisov, Y.K. (2006) Microwave Magnetoelectric Effects and Signal Processing Devices. Integrated Ferroelectrics, 83, 89-98.
http://dx.doi.org/10.1080/10584580600949105
[34] Priya, S., Islam, R.A., Dong, S.X. and Viehland, D. (2007) Recent Advancements in Magnetoelectric Particulate and Laminate Composites. Journal of Electroceramics, 19, 147-164.
http://dx.doi.org/10.1007/s10832-007-9042-5
[35] Grossinger, R., Duong, G.V. and Sato-Turtelli, R. (2008) The Physics of Magnetoelectric Composites. Journal of Magnetism and Magnetic Materials, 320, 1972-1977.
http://dx.doi.org/10.1016/j.jmmm.2008.02.031
[36] Ahn, C.W., Maurya, D., Park, C.S., Nahm, S. and Priya, S. (2009) A Generalized Rule for Large Piezoelectric Response in Perovskite Oxide Ceramics and Its Application for Design of Lead-Free Compositions. Journal of Applied Physics, 105, Article ID: 114108.
[37] Petrov, V.M., Bichurin, M.I., Laletin, V.M., Paddubnaya, N. and Srinivasan, G. (2003) Modeling of Magnetoelectric Effects in Ferromagnetic/Piezoelectric Bulk Composites. Proceedings of the 5th International Conference on Magnetoelectric Interaction Phenomena in Crystals, MEIPIC-5, Sudak, 21-24 September 2003.
http://arxiv.org/abs/cond-mat/0401645
[38] Harshe, G., Dougherty, J.P. and Newnham, R.E. (1993) Theoretical Modelling of 3-0/0-3 Magnetoelectric Composites. International Journal of Applied Electromagnetics in Materials, 4, 161-171.
[39] Chu, Y.H., Martin, L.W., Holcomb, M.B. and Ramesh, R. (2007) Controlling Magnetism with Multiferroics. Materials Today, 10, 16-23.
http://dx.doi.org/10.1016/S1369-7021(07)70241-9
[40] Schmid, H. (1994) Magnetic Ferroelectric Materials. Bulletin of Materials Science, 17, 1411-1414.
http://dx.doi.org/10.1007/BF02747238
[41] Ryu, J., Priya, S., Uchino, K. and Kim, H.-E. (2002) Magnetoelectric Effect in Composites of Magnetostrictive and Piezoelectric Materials. Journal of Electroceramics, 8, 107-119.
http://dx.doi.org/10.1023/A:1020599728432
[42] Fang, D., Wan, Y.-P., Feng, X. and Soh, A.K. (2008) Deformation and Fracture of Functional Ferromagnetics. ASME Applied Mechanics Review, 61, Article ID: 020803.
[43] Sihvola, A. (2007) Metamaterials in Electromagnetics. Metamaterials, 1, 2-11.
http://dx.doi.org/10.1016/j.metmat.2007.02.003
[44] Hill (Spaldin), N.A. (2000) Why Are There So Few Magnetoelectric Materials? Journal of Physical Chemistry B, 104, 6697-6709.
[45] Smolenskii, G.A. and Chupis, I.E. (1982) Ferroelectromagnets. Soviet Physics Uspekhi, 25, 475-493.
http://dx.doi.org/10.1070/PU1982v025n07ABEH004570
[46] 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
[47] Thompson, R.B. (1990) Physical Principles of Measurements with EMAT Transducers. In: Mason, W.P. and Thurston, R.N., Eds., Physical Acoustics, Volume 19, Academic Press, New York, 157-200.
http://dx.doi.org/10.1016/b978-0-12-477919-8.50010-8
[48] Hirao, M. and Ogi, H. (2003) EMATs for Science and Industry: Noncontacting Ultrasonic Measurements. Kluwer Academic, Boston.
http://dx.doi.org/10.1007/978-1-4757-3743-1
[49] van Suchtelen, J. (1972) Product Properties: A New Application of Composite Materials. Philips Research Reports, 27, 28-37.
[50] van den Boomgaard, J., Terrell, D.R., Born, R.A.J. and Giller, H.F.J.I. (1974) In-Situ Grown Eutectic Magnetoelectric Composite-Material. 1. Composition and Unidirectional Solidification. Journal of Materials Science, 9, 1705-1709.
http://dx.doi.org/10.1007/BF00540770
[51] van Run, A.M.J.G., Terrell, D.R. and Scholing, J.H. (1974) In-Situ Grown Eutectic Magnetoelectric Composite-Material. 2. Physical Properties. Journal of Materials Science, 9, 1710-1714.
http://dx.doi.org/10.1007/BF00540771
[52] van den Boomgaard, J., van Run, A.M.J.G. and van Suchtelen, J. (1976) Piezoelectric-Piezomagnetic Composites with Magnetoelectric Effect. Ferroelectrics, 14, 727-728.
http://dx.doi.org/10.1080/00150197608236711
[53] Annigeri, A.R., Ganesan, N. and Swarnamani, S. (2006) Free Vibrations of Simply Supported Layered and Multiphase Magneto-Electro-Elastic Cylindrical Shells. Smart Materials and Structures, 15, 459-467.
http://dx.doi.org/10.1088/0964-1726/15/2/027
[54] 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
[55] Ramirez, F., Heyliger, P.R. and Pan, E. (2006) Free Vibration Response of Two-Dimensional Magneto-Electro-Elastic Laminated Plates. Journal of Sound and Vibration, 292, 626-644.
http://dx.doi.org/10.1016/j.jsv.2005.08.004
[56] 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
[57] Liu, T.J.C. and Chue, C.-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
[58] Zakharenko, A.A. (2012) On Wave Characteristics of Piezoelectromagnetics. Pramana—Journal of Physics (Indian Academy of Science), 79, 275-285.
http://dx.doi.org/10.1007/s12043-012-0308-3
[59] Wang, Y.-Z., Li, F.-M., Huang, W.-H., Jiang, X., Wang, Y.-S. 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
[60] 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
[61] 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.
[62] Zakharenko, A.A. (2011) Seven New SH-SAWs in Cubic Piezoelectromagnetics. LAP LAMBERT Academic Publishing GmbH & Co. KG, Saarbruecken-Krasnoyarsk, 172 p.
[63] Al’shits, V.I., Darinskii, A.N. and Lothe, J. (1992) On the Existence of Surface Waves in Half-infinite Anisotropic Elastic Media with Piezoelectric and Piezomagnetic Properties. Wave Motion, 16, 265-283.
http://dx.doi.org/10.1016/0165-2125(92)90033-X
[64] Zakharenko, A.A. (2012) Twenty Two New Interfacial SH-Waves in Dissimilar PEMs. LAP LAMBERT Academic Publishing GmbH & Co. KG, Saarbruecken-Krasnoyarsk, 148 p.
[65] Zakharenko, A.A. (2012) Thirty Two New SH-Waves Propagating in PEM Plates of Class 6 mm. LAP LAMBERT Academic Publishing GmbH & Co. KG, Saarbruecken-Krasnoyarsk, 162 p.
[66] Auld, B.A. (1990) Acoustic Fields and Waves in Solids. 2nd Edition, Volumes I and II (Set of Two Volumes), Krieger Publishing Company, Malabar, 878 p.
[67] Dieulesaint, E. and Royer, D. (1980) Elastic Waves in Solids: Applications to Signal Processing. John Wiley, New York and Chichester, 511 p.
[68] 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
[69] Nye, J.F. (1989) Physical Properties of Crystals. Their Representation by Tensors and Matrices. Clarendon Press, Oxford, 385 p.
[70] Newnham, R.E. (2005) Properties of Materials: Anisotropy, Symmetry, Structure (Kindle Edition). Oxford University Press Inc., Oxford and New York, 391 p.
[71] Gulyaev, Y.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
[72] 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
[73] Gulyaev, Y.V. (1969) Electroacoustic Surface Waves in Solids. Soviet Physics Journal of Experimental and Theoretical Physics Letters, 9, 37-38.
[74] Zakharenko, A.A. (2013) Peculiarities Study of Acoustic Waves’ Propagation in Piezoelectromagnetic (Composite) Materials. Canadian Journal of Pure & Applied Sciences, 7, 2459-2461.
[75] Zakharenko, A.A. (2013) New Nondispersive SH-SAWs Guided by the Surface of Piezoelectromagnetics. Canadian Journal of Pure & Applied Sciences, 7, 2557-2570.
[76] Zakharenko, A.A. (2014) Some Problems of Finding of Eigenvalues and Eigenvectors for SH-Wave Propagation in Transversely Isotropic Piezoelectromagnetics. Canadian Journal of Pure & Applied Sciences, 8, 2783-2787.
[77] Kiang, J. and Tong, L. (2010) Nonlinear Magneto-Mechanical Finite Element Analysis of Ni-Mn-Ga Single Crystals. Smart Materials and Structures, 19, Article ID: 015017.
[78] Zakharenko, A.A. (2011) Analytical Investigation of Surface Wave Characteristics of Piezoelectromagnetics of Class 6 mm. ISRN Applied Mathematics, 2011, Article ID: 408529.
[79] 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
[80] Liu, J.-X., Fang, D.-N. and Liu, X.-L. (2007) A Shear Horizontal Surface Wave in Magnetoelectric Materials. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 54, 1287-1289.
http://dx.doi.org/10.1109/TUFFC.2007.388
[81] Zakharenko, A.A. (2015) On Existence of Eight New Interfacial SH-Waves in Dissimilar Piezoelectromagnetics of Class 6 mm. Meccanica, 50, 1923-1933.
http://dx.doi.org/10.1007/s11012-015-0210-4

Journals Menu
Follow SCIRP
Contact us
+1 323-425-8868
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.