Abstract
It is proposed to use a generalized matrix averaging (GMA) method for calculating the parameters of an effective medium with physical properties equivalent to those of a set of thin multiferroic layers. This approach obviates the need to solve a complex system of magnetoelectroelasticity equations. The required effective characteristics of a system of multiferroic layers are obtained using only operations with matrices, which significantly simplifies calculations and allows multilayer systems to be described. The proposed approach is applicable to thin-layer systems, in which the total thickness is much less than the system length, radius of curvature, and wavelengths of waves that can propagate in the system (long-wave approximation). Using the GMA method, it is also possible to obtain the effective characteristics of a periodic structure with each period comprising a number of thin multiferroic layers.
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Original Russian Text © A.S. Starkov, I.A. Starkov, 2014, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2014, Vol. 146, No. 5, pp. 980–989.
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Starkov, A.S., Starkov, I.A. Application of a generalized matrix averaging method for the calculation of the effective properties of thin multiferroic layers. J. Exp. Theor. Phys. 119, 861–869 (2014). https://doi.org/10.1134/S1063776114110120
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DOI: https://doi.org/10.1134/S1063776114110120