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In this paper, the effective behavior of multi-phase voided viscopiezoelectric composite materials is investigated based on the combination of the Laplace transform and multi-phase differential scheme modeling.The multi-phase differential scheme model is presented and elucidated. A procedure of constructing gradually the behavior of the composites by adding a series of small volume fractions of the reinforcement to the initial material (matrix) is developed. The prediction of the effective behavior is done in the frequency domain then an inversion to the time one is performed numerically. Different numerical results are presented and a comparison with the predictions of the Mori-Tanaka mean field micromechanical model is done. The effect of different parameters on the effective behavior is shown.
