Decoupling transformation for piezoelectric–piezomagnetic fibrous composites with imperfect interfaces

Abstract

a b s t r a c tWe study the effective magnetoelectricity of piezoelectric-piezomagnetic fibrous composites with imperfect interfaces subjected to anti-plane shear deformation coupled to in-plane electromagnetic fields. Two kinds of imperfect interfaces, mechanically stiff and highly electromagnetic conducting interfaces, and mechanically compliant and weakly electromagnetic conducting interfaces, are considered for the phenomenon of contact resistance between the constituents. The decoupling transformation approach previously used in composite media with perfect interfaces is extended to the current configuration. The predicted macroscopic behaviors are in good agreement with the known solutions. It is observed that moduli of the composite with imperfect contacts do not fulfill the compatibility conditions L Ã L À1 a L b À L b L À1 a L Ã ¼ 0, which was supposed to be microstructure independent connections for the twophase heterogeneous media. Finally, we use the two-level recursive scheme to show the equivalence between the imperfect interfaces and an infinity thin homogeneous interface layer.

Effect of imperfect interfaces on the field response of multilayered magneto-electro-elastic composites under surface loading

“…This type of interface may also arise due to the presence of a thin interphase layer of soft and weak electric permittivity and magnetic permeability. While the impact of the imperfect interface on the ME coupling effect has been investigated by many (Kuo 2013, Kuo and Chen 2015, Kuo and Huang 2016, Kuo and Wang 2017, Kuo et al 2018, its effect on the corresponding field responses, particularly the three-dimensional (3D) response of the layered MEE composites have not been studied so far, which motivates the present study.…”

Band Gaps of SH Wave Propagating Through Elastic/PE/PM Phonon Crystal

“…Sun et al [14] assumed that the interface in the composite is damaged mechanically, magnetically or electrically, and then obtained for two kinds of electricmegnetic boundary conditions at the free surface. Kuo and Chen [15] studied the effective magnetoelectricity of piezoelectric-piezomagnetic fibrous composites with imperfect…”

An analytical method for predicting the anti-plane effective magnetoelectroelastic coefficients of composites containing doubly periodic multicoated fibers

“…For periodic (ordered) magnetoelectroelastic composites, Kuo [17] combined the methods of complex potentials with a re-expansion formulae and the generalized Rayleigh's formulation to obtain the effective magnetoelectroelastic properties of three-phase (fiber/coating/matrix) composites, the results showed that the magnetoelectric coefficient can be enhanced with one order of magnitude compared to their non-coating counterpart by introducing appropriate coating. Kuo and Chen [18] employed the decoupling transformation approach to investigate the effective properties of the piezoelectricpiezomagnetic fibrous composite with imperfect interfaces, two kinds of imperfect interfaces, mechanically stiff and highly electromagnetic conducting interfaces, and mechanically compliant and weakly electromagnetic conducting interfaces, were considered. Espinosa-Almeyda et al [19] applied the asymptotic homogenization method (a two-scale asymptotic homogenization theory) to calculate the magnetoelectroelastic effective properties of three-phase (fiber/coating/matrix) fiber composites.…”