Influence of imperfect interface and fiber distribution on the antiplane effective magneto-electro-elastic properties for fiber reinforced composites

Abstract

The antiplane effective coefficients of two-phase piezoelectric–piezomagnetic periodic composite materials reinforced with cylindrical, unidirectional and periodically distributed fibers are computed by means of asymptotic homogenization method (AHM). The constituents have transversely isotropic properties belonging to 6mm symmetry group and the periodic distribution of the fibers is assumed to be parallelogram-like as representative volume element (RVE). In the model, the imperfections are modeled as an idealization of spring–capacitor–inductor distributions at the interface. The antiplane local problems and the associated effective coefficients result of the AHM are explicitly described. The explicit formulae depend on the physical properties of the constituents of the phases and the constants that characterize the existence of the aforementioned imperfection. The validation of the present approach is shown by comparison with numerical results reported in the literature. The influences of the fiber spatial distributions and the imperfect fiber–matrix interface contact conditions on the effective properties are analyzed. Spatial fiber distribution induces some value changes in the magneto-electric coefficient and two possible composites property symmetry are obtained: monoclinic 2 and transversely isotropic. The effect of the imperfect contact parameter has a more pronounced value on the ME coefficient than the fiber distribution.