Theoretical study on dynamic effective electroelastic properties of random piezoelectric composites with aligned inhomogeneities

The closed-form solutions of the dynamic problem of heterogeneous piezoelectric materials are formulated by introducing polarizations into a reference medium and using the generalized reciprocity theorem. These solutions can be reduced to the ones of an elastodynamic problem. Based on the effective medium method, these closed-form solutions can be used to establish the self-consistent equations about the frequency-dependent effective parameters, which can be numerically solved by iteration. Theoretical predictions are compared with the experimental results, and good agreement can be found. Furthermore, the analyses on the effects of microstructure and wavelength on the effective properties, resonance frequencies, and attenuation are also presented, which may provide some guidance for the microstructure design and analysis of piezoelectric composites.