Abstract
Based on the complete set of Maxwell’ electrodynamics equations and the theory of elasticity the two-dimensional equations have obtained describing the coupled wave process in piezoactive electro-magneto-elastic (MEE) structure and allowing solution of a new class of problems, in particular, the problems of propagation and internal resonance of electro-magneto-elastic waves in periodic MEE structures. For longitudinal lattice vibrations of oppositely polarized MEE periodic superlattice the effect of phonon–photon polariton is investigated with a full three-phase coupling between elastic, electromagnetic fields. The results show that the new coupled phonon–photon polariton exhibits properties different from piezoelectric or piezomagneticpolaritons.
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References
Eerenstein, W., Mathur, N.D., Scott, J.F.: Multiferroic and magnetoelectric materials. Nature. V 442, 759–765 (2006)
Nan, C.-W., et al.: Multiferroic magnetoelectric composites: historical perspective, status, and future directions. J. Appl. Phys. 103, 031101–33 (2008)
Pakam, N., Arockiarajan, A.: An analytical model for predicting the effective properties of magneto-electro-elastic (MEE) composites. Comput. Mater. Sci. 65, 19–28 (2012)
Lee, J., Boyd, J.G., Lagoudas, D.C.: Effective properties of three-phase electro-magneto-elastic composites. Int. J. Eng. Sci. 43(10), 790–825 (2005)
Du, J., Jin, X., Wang, J.: Love wave propagation in layered magneto-electro-elastic structures with initial stress. Acta Mech. 192(1–4), 169–189 (2007)
Mai, Y.W., Niraula, O.P., Wang, B.L.: A horizontal shear surface wave in magnetoelectroelastic materials. Philos. Mag. Lett. 87(1), 53–58 (2007)
Wei, W.-Y., Liu, J.-X., Fang, D.-N.: Existence of shear horizontal surface waves in a magneto-electro-elastic material. Chin. Phys. Lett. 26(10), 104301 (2009)
Piliposyan, D.: Shear surface waves at the interface of two magneto-electro-elastic media. Multidiscip. Model. Mater. Struct. 8(3), 417–426 (2012)
Yu, L., et al.: Piezoelectric wafer active sensors for in situ ultrasonic-guided wave SHM. Fatigue Fract. Eng. Mater. Struct. 31(8), 611–628 (2008)
Li, S.: The electromagneto-acoustic surface wave in a piezoelectric medium: the bleustein-gulyaev mode. J. Appl. Phys. 80(9), 5264–5269 (1996)
Belubekyan, M.V.: Screen surface shear wave in a piezo-active semi-space of hexagonal symmetry. 2008. In: Proceedings of the 6th International Conference Problems of Dynamics of Interaction of Deformable Media, Yerevan, pp. 125–130
Piliposian, G.T., Avetisyan, A.S., Ghazaryan, K.B.: Shear wave propagation in periodic phononic/photonic piezoelectric medium. Wave Motion 49(1), 125–134 (2012)
Piliposyan, D.G., Ghazaryan, K.B., Piliposian, G.T.: Shear Bloch waves and coupled phonon–polariton in periodic piezoelectric waveguides. Ultrasonics 54(2), 644–654 (2014)
Liu, H., et al.: Coupling of electromagnetic waves and superlattice vibrations in a piezomagnetic superlattice: Creation of a polariton through the piezomagnetic effect. Phys. Rev. B 71(12), 125106 (2005)
Zhang, X.-J., et al.: Phonon-polariton dispersion and the polariton based photonic band gap in piezoelectric superlattices. Phys. Rev. B 69(8), 085118 (2004)
Huang, C., Zhu, Y.: Piezoelectric-induced polariton coupling in a superlattice. Phys. Rev. Lett. 94(11), 117401 (2005)
Zhu, Y., et al.: New type of polariton in a piezoelectric superlattice. Phys. Rev. Lett. 90(5), 053903 (2003)
Piliposyan, D., Ghazaryan, K., Piliposian, G.: Magneto-electro-elastic polariton coupling in a periodic structure. J. Phys. D: Appl. Phys. 48(17), 175501 (2015)
Yakhno, V.G, Yakhno, T.M.: Maxwell’s equations for bi-anisotropic materials as a symmetric hyperbolic system: Theory and computer application. In: 2011 International Conference on 2011 Electromagnetics in Advanced Applications (ICEAA), pp. 50–53
Auld, B.A.: Acoustic Fields and Waves in Solids. Wiley, New York (1973)
Xue, C.X,E.: Pan, On the longitudinal wave along a functionally graded magneto-electro-elastic rod. Int. J. Eng. Sci. 62, 48–55 (2013)
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Ghazaryan, K.B., Piliposyan, D.G., Piliposian, G.T. (2019). Electro-Magneto-Elastic Coupled Waves in Piezoactive Periodic Structures. In: Sumbatyan, M. (eds) Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials. Advanced Structured Materials, vol 109. Springer, Cham. https://doi.org/10.1007/978-3-030-17470-5_16
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DOI: https://doi.org/10.1007/978-3-030-17470-5_16
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