Analytical predictions for the magnetoelectric coupling in piezomagnetic materials reinforced by piezoelectric ellipsoidal inclusions

TLDR

The paper addresses fundamental problems in piezoelectric‑piezomagnetic composites. Analytical expressions for magneto‑electro‑elastic Eshelby tensors and closed‑form magnetoelectric coupling coefficients are derived for transversely isotropic composites with elliptic cylinder, circular cylinder, disk, and ribbon inclusions. The solutions reveal that magnetoelectric coupling depends on inclusion shape, phase properties, and volume fraction, guiding the design of composite performance.

Abstract

In this paper, a number of problems of fundamental importance in a piezoelectric-piezomagnetic composite material are solved. The problems covered range from the derivation of the analytical expressions for the magneto-electro-elastic Eshelby tensors to the analysis of the magnetoelectric coupling effect which is a new property exhibited in the piezoelectric-piezomagnetic composite. In particular, when both the matrix and the inclusions of the composite are transversely isotropic with different magneto-electro-elastic moduli, and shapes of inclusions are of elliptic cylinder, circular cylinder, disk, and ribbon, closed-form solutions for the magnetoelectric coupling coefficientS are presented compactly. The resulting solutions are a function of the shape of inclusion, phase properties, and volume fraction of the inclusions. These results could provide us with insight into how a piezoelectric-piezomagnetic composite material consisting of inclusions will perform and would be helpful in understanding the magneto-electric-elastic behavior of the composite.