Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases.

Fibrous composite systems characterized by a cylindrical microgeometry and consisting of a piezoelectric and a piezomagnetic phase with thermal effects are considered. These composites exhibit a magnetoelectric effect that is not present in the constituents. Exact connections are derived between the effective moduli of such systems. These relations are independent of the details of the microgeometry and of the particular choice of the averaging model. In the case of overall transverse isotropy the composite is characterized by twenty one constants. We show that there are sixteen connections for a subset of twenty effective moduli. Simple expressions are also derived for the effective constants of the composite cylinder assemblage microgeometry in such systems.