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This book brings together numerous contributions to the field of magnetoelectric (ME) composites that have been reported so far. Theoretical models of ME coupling in composites relate to the wide frequency range: from low-frequency to microwave ones and are based on simultaneous solving the elastostatic/elastodynamic and electrodynamics equations. Suggested models enable one to optimize magnetoelectric parameters of a composite. The authors hope to provide some assimilation of facts into establish knowledge for readers new to the field, so that the potential of the field can be made transparent to new generations of talent to advance the subject matter.

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1 Magnetoelectric interaction in solids.
1.1 Magnetoelectric coupling in composites. 1.2 Estimations of composites´ ME parameters. 1.3 Direct and converse effects. 1.4 Conclusions.

2 Low-frequency magnetoelectric effects in magnetostrictive-piezoelectric composites.
2.1 Symmetric layered structures. 2.2 Bilayer structure. 2.3 Examples of Multilayer Structures. 2.4 Bulk composites. 2.5 Magnetoelectric effects in compositionally graded layered structures. 2.6 Magnetoelectric effect in Dimensionally Gradient Laminate Composites. 2.7 Conclusions.

3 Maxwell-Wagner relaxation in ME composites.
3.1 Layered Composites. 3.2 Bulk Composites. 3.3 Conclusions.

4 Magnetoelectric effect in electromechanical resonance region.
4.1 Modeling of magnetoelectric effect t longitudinal and radial modes. 4.2 Bending modes. 4.3 Shear vibrations. 4.4 Conclusions.

5 Magnetic resonance in composites.
5.1 Bilayer structure. 5.2 Basic theory: macroscopic homogeneous model. 5.3 Layered composite with single crystal components. 5.4 Resonance line shift by electric signal with electromechanical resonance frequency.

6 ME effect at magnetoacoustic resonance range.
6.1 Direct magnetoelectric effect. 6.2 Effects of Exchange Interactions on Magneto-Acoustic Resonance. 6.3 Electric Field Induced Magnetic Excitations. 6.4 Conclusion.

7 Conclusions.

References.

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Mirza I. Bichurin is a professor and head of the Department of Design and Technology of Radio electronic Equipment at Novgorod State University. A world-renowned and multiple-award-winning expert at magnetic and electric properties of composites, multilayer and bulk magnetoelectric structures and radio- and microwave electronics, Prof. Bichurin has to his credit more than 160 articles published in international referred journals, 15 patents and 5 books.
Vladimir M. Petrov is a professor, Department of Design and Technology of Radio electronic Equipment at Novgorod State University. His research focuses on multiferroic and magnetoelectric materials. The primary task of his publications is theoretical modeling of magnetoelectric coupling in the wide frequency range. Prof. Petrov has published over 120 referred journal articles and 5 books.

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