Effective predictions of heterogeneous flexoelectric multilayered composite with generalized periodicity

D. Guinovart-Sanjuán (1) , K. Vajravelu (1) , R. Rodríguez-Ramos (2) , R. Guinovart-Díaz (2) , J. Bravo-Castillero (2) , Frédéric Lebon (3) , F.J. Sabina (4) , J. Merodio (5)

1 UCF - University of Central Florida [Orlando]
2 Universidad de La Habana [Cuba]
3 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
4 Instituto de Investigaciones en Matemááticas Aplicadas y en Sistemas
5 UPM - Universidad Politécnica de Madrid

In this work, the general mathematical statements for flexoelectric heterogeneous equilibrium boundary value problems are reported. A methodology to find the local problems and the effective properties of flexoelectric composites with generalized periodicity is presented, using the two-scales asymptotic homogenization method. The statement of the homogenized boundary values problem is given. A procedure to solve the local problems of stratified multilayered composites with complex geometry and perfect contact at the interface is proposed. Consequently, the analytical expressions of the effective coefficients are obtained. The piezoelectric limit case for rectangular bi-laminated composites is validated. Finally, numerical analysis to illustrate the behavior of the effective properties for rectangular and wavy flexoelectric bi-layered structures are shown.

Mots clés: Flexoelectricity; Layered structures; Mechanical properties; Analytical modeling; Homogenization

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

D. Guinovart-Sanjuán, K. Vajravelu, R. Rodríguez-Ramos, R. Guinovart-Díaz, J. Bravo-Castillero, et al.. Effective predictions of heterogeneous flexoelectric multilayered composite with generalized periodicity. International Journal of Mechanical Sciences, 2020, 181, pp.105755. ⟨10.1016/j.ijmecsci.2020.105755⟩. ⟨hal-02909276⟩