Publication result detail

Application of a Generalized Matrix Averaging Method for the Calculation of the Effective Properties of Thin Multiferroic Layers

STARKOV, A.; STARKOV, I.

Original Title

Application of a Generalized Matrix Averaging Method for the Calculation of the Effective Properties of Thin Multiferroic Layers

English Title

Application of a Generalized Matrix Averaging Method for the Calculation of the Effective Properties of Thin Multiferroic Layers

Type

WoS Article

Original 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.

English 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.

Keywords

Multiferroic Layers Generalized Matrix Averaging Method Homogenezation

Key words in English

Multiferroic Layers Generalized Matrix Averaging Method Homogenezation

Authors

STARKOV, A.; STARKOV, I.

RIV year

2015

Released

16.12.2014

ISBN

1063-7761

Periodical

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS

Volume

119

Number

5

State

Russian Federation

Pages from

861

Pages to

869

Pages count

9

BibTex

@article{BUT111936,
  author="A.S. {Starkov} and Ivan {Starkov}",
  title="Application of a Generalized Matrix Averaging Method for the Calculation of the Effective Properties of Thin Multiferroic Layers",
  journal="JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS",
  year="2014",
  volume="119",
  number="5",
  pages="861--869",
  doi="10.1134/S1063776114110120",
  issn="1063-7761"
}