An approach for modeling three-phase piezoelectric composites

Raúl Guinovart-Díaz (1) , Reinaldo Rodríguez-Ramos (1) , Yoanh Espinosa-Almeyda (2) , Juan Carlos López-Realpozo (1) , Serge Dumont (3, 4) , Frédéric Lebon (5) , Aura Conci (6)

1 Universidad de La Habana [Cuba]
2 UACJ - Universidad Autónoma de Ciudad Juárez
3 IMAG - Institut Montpelliérain Alexander Grothendieck
4 UNIMES - Université de Nîmes
5 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
6 UFF - Universidade Federal Fluminense [Rio de Janeiro]

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.

Mots clés: homogenization; determination of effective properties; elastic materials

Domaines: Mécanique des matériaux [physics.class-ph]

Raúl Guinovart-Díaz, Reinaldo Rodríguez-Ramos, Yoanh Espinosa-Almeyda, Juan Carlos López-Realpozo, Serge Dumont, et al.. An approach for modeling three-phase piezoelectric composites. Mathematical Methods in the Applied Sciences, 2017, Mathematical Modeling in Micromechanics, 40 (9), pp.3230-3248. ⟨10.1002/mma.3937⟩. ⟨hal-01694029⟩