Résumé
In this work, three‐phase piezoelectric fibrous composites distributed in a parallelepiped cell is studied. The statement of the mathematical problems and the formulation of the local problems by means of the asymptotic homogenization method are presented. Closed‐form formulae are obtained for the effective properties of the composites for different configurations of the cells. The present method for thick and thin mesophases can provide a point of reference for comparisons with other numerical and approximate methods.