Effective magnetoelectric effect in multicoated circular fibrous multiferroic composites

Abstract

Rayleigh's formalism is generalized for the evaluation of the effective material properties in multicoated circular fibrous multiferroic composites. The derived solution is applied to the special three-phase composite in which coated fibers are embedded in a matrix. For composites made of piezoelectric (BaTiO 3) and piezomagnetic (CoFe 2 O 4 or Terfenol-D) phases, we find that the magnetoelectric effect in the composite made of CoFe 2 O 4 coated BaTiO 3 in matrix Terfenol-D is five times larger than that in the composite made of BaTiO 3 coated Terfenol-D in matrix CoFe 2 O 4. Furthermore, in each case, with appropriate coating to the circular fiber, the magnetoelectric effect in the coated composites can be enhanced by more than one order of magnitude as compared to the corresponding noncoating composite. V

Magnetoelectricity in coated fibrous composites of piezoelectric and piezomagnetic phases

“…We have used it to study the dependence of a particular material property of interest, the ME voltage coefficient, on the volume fraction of the inclusion, the ratio of the radii between the core and shell, and the material parameters of the PE and PM phases. The results are compared with the finite element analysis and the semi-analytical method proposed by Kuo and Pan (2011). The magnitudes and trends among them are in good agreement.…”

“…Fig. 3(a) and (b) also compare with the effective ME voltage coefficients predicted by Kuo and Pan (2011) who used multipole expansion technique. Still, the overall magnitudes and trends agree well among predictions based on the micromechanical model, finite element analysis, and Kuo and Pan's model.…”

“…For example, the classical Eshelby's equivalent inclusion approach and the Mori-Tanaka mean-field model have been generalized to multiferroic composites by Li andDunn (1998a, 1998b), Wu and Huang (2000), Huang and Zhou (2004), Srinivas et al (2006) and Liu and Kuo (2012). The analysis for local fields is available for simple microstructures such as a single inclusion (Huang & Kuo, 1997), laminates (Bichurin et al, 2003;Kuo et al, 2010;Liverts et al, 2010;Srinivas et al, 2001), and periodic array of circular/elliptic fibrous ME composites (Dinzart and Sabar, 2011;Kuo, 2011;Kuo and Pan, 2011). Homogenization methods were also proposed for periodic ME fibrous composites (Aboudi, 2001;Camacho-Montes et al, 2009), while numerical methods based on the finite element analysis have been developed to address ME composites with more general microstructures (Lee et al, 2005;Liu et al, 2004).…”

“…For theoretical investigations on this part, Kuo (2011) and Kuo and Pan (2011) estimate the overall behavior of multiferroic composites with coated circular/elliptic fibrous under generalized anti-plane deformation. Dinzart and Sabar (2011) employed Green's functions techniques, interfacial operators, and Mori-Tanaka's model for solving the magnetoelectro-elastic coated inclusion problem.…”

On the longitudinal wave along a functionally graded magneto-electro-elastic rod

“…The material properties of the composite are calculated using the micromechanics approach (Kuo & Pan, 2011;Kuo & Wang, 2012). In what follows, we consider five different material combinations, by taking the volume fraction of BaTiO 3 as 0%, 25%, 50%, 75%, and 100%, respectively.…”