Exact moduli of layered piezoelectric media

We derive exact results for overall moduli of multiphase piezoelectric layered media. Specific formulae are given for elastic, piezoelectric and dielectric constants together with thermal stress and pyroelectric coefficients in terms of phase moduli and volume fractions. The constituent layers and the composite aggregate are assumed to be orthorhombic of class 2 mm. The method of solution simply follows from the observation that under certain homogeneous loadings, a number of local fields are constant from layer to layer. This permits the determination of the full set of effective moduli. Proofs that guarantee that these solutions comply with the general connections of composites with cylindrical microgeometries are given. One of the possible applications can be directed to media composed of curvilinearly anisotropic layers.