Effective properties of piezoelectric composites with parallelogram periodic cells

In this work, a two-phase parallel fiber-reinforced periodic piezoelectric composite is considered wherein the constituents exhibit transverse isotropy. Simple closed-form formulae are obtained for the axial effective properties of the composites by means of the asymptotic homogenization method (AHM) and eigenfunction expansion-variational method (EEVM) for different types of parallelogram cells. Some numerical examples and comparisons with other theoretical results demonstrate that both methods are efficient for the analysis of composites with presence of parallelogram cells. The effects of the configuration of the cells on the effective properties are observed. In general, both models predict the monoclinic behavior of the composites.