In dynamic problems the electric and magnetic fields are inseparable. At the same time, a multitude of electrostatic and magnetostatic effects permit mutually independent description. This separation appears to be possible and thermodynamically consistent when the bulk energy density depends only on the polarization density or, alternatively, on the magnetization density. However, when the bulk energy density depends simultaneously on the both densities, then, the electrostatic and magnetostatic effects should be studied together. There appear interesting cross-effects; among those are the change of the internal electrostatic field inside a specimen under the influence of the external magnetic fields, and vice versa. Below, in the framework of thermodynamic approach the boundary value problem for magnetoelectric plate is formulated and analyzed. The exact solution is established for the isotropic pyroelectric plate.
Pradhan, D.K., Kumari, S. and Rack, P.D. (2020) Magnetoelectric Composites: Applications, Coupling Mechanisms, and Future Directions. Nanomaterials, 10, Article 2072. https://doi.org/10.3390/nano10102072
[3]
Smolenskii, G.A. and Chupis, I.E. (1982) Ferroelectromagnets. Soviet Physics Uspekhi, 25, 475-493. https://doi.org/10.1070/PU1982v025n07ABEH004570
[4]
Hur, N., et al. (2004) Colossal Magnetodielectric Effects in DyMn2O5. Physical Review Letters, 93, 107207.
[5]
Fiebig, M. (2005) Revival of the Magnetoelectric Effect. Journal of Physics D: Applied Physics, 38, R123. https://doi.org/10.1088/0022-3727/38/8/R01
[6]
Lawes, G., et al. (2005) Magnetically Driven Ferroelectric Order in Ni3V2O8. Physical Review Letters, 95, 087205. https://doi.org/10.1103/PhysRevLett.95.087205
[7]
Khomskii, D.I. (2006) Multiferroics: Different Ways to Combine Magnetism and Ferroelectricity. Journal of Magnetism and Magnetic Materials, 306, 1-8. https://doi.org/10.1016/j.jmmm.2006.01.238
[8]
Ehrenstein, W., Mathur, N.D. and Scott, J.F. (2006) Multiferroic and Magnetoelectric Materials. Nature, 442, 759-765. https://doi.org/10.1038/nature05023
[9]
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. https://doi.org/10.1023/A:1020599728432
[10]
Kimura, T., et al. (2003) Magnetic Control of Ferroelectic Polarization. Nature, 426, 55-58. https://doi.org/10.1038/nature02018
[11]
Bary’akhtar, V.G. and Chupis, I.E. (1969) Phenomenological Theory of a Ferroelectric Magnet. Soviet Physics, Solid State, 10, 2818-2821.
[12]
Bary’achtar, V.G., L’vov, V.A. and Jablonskii, D.A. (1983) Theory of Inhomogeneous Magnetoelectric Effect. JETP Letters, 37, 673.
[13]
Saito, K. and Kohn, K. (1995) Magnetoelectric Effect and Low-Temperature Phase Transitions of TbMn2O5. Journal of Physics: Condensed Matter, 7, 2855-2863. https://doi.org/10.1088/0953-8984/7/14/022
[14]
Landau, L.D. and Lifshitz, E.M. (1962) The Classical Theory of Fields. 2nd Edition, Pergamon, London.
[15]
Jona, F. and Shirane, G. (1993) Ferroelectric Crystals. Dover, New York.
[16]
Lines, M.E. and Glass, A.M. (2001) Principles and Applications of Ferroelectrics and Related Materials. Oxford University Press, Oxford. https://doi.org/10.1093/acprof:oso/9780198507789.003.0016
