Antiplane magneto-electro-elastic effective properties of three-phase fiber composites

Y. Espinosa-Almeyda (1) , Reinaldo Rodriguez-Ramos (1) , Raul Guinovart-Diaz (1) , Julian Bravo-Castillero (1) , J.C. Lopez-Realpozo (2) , H. Camacho-Montes (3) , F.J. Sabina (4) , Frédéric Lebon (5)

1 Facultad de Matematica y Computacion
2 Facultad de Matematica y Computacion
3 Instituto de Ingeniería y Tecnología
4 Inst Invest Matemat Aplicadas & Sistemas
5 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

In the present work, applying the asymptotic homogenization method (AHM), the derivation of the antiplane effective properties for three-phase magneto-electro-elastic fiber unidirectional reinforced composite with parallelogram cell symmetry is reported. Closed analytical expressions for the antiplane local problems on the periodic cell and the corresponding effective coefficients are provided. Matrix and inclusions materials belong to symmetry class 6mm. Numerical results are reported and compared with the eigenfunction expansion-variational method (EEVM) and other theoretical models. Good agreements are found for these comparisons. In addition, with the herein implemented solution, it is possible to reproduce the effective properties of the reduced cases such as piezoelectric or elastic composites obtain- ing good agreements with previous reports.

Mots clés: Fiber-reinforced composites; Effective properties; Homogenization; Magneto electro elastic coupling

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Y. Espinosa-Almeyda, Reinaldo Rodriguez-Ramos, Raul Guinovart-Diaz, Julian Bravo-Castillero, J.C. Lopez-Realpozo, et al.. Antiplane magneto-electro-elastic effective properties of three-phase fiber composites. International Journal of Solids and Structures, 2014, 51 (21-22), pp.3508-3521. ⟨10.1016/j.ijsolstr.2014.05.030⟩. ⟨hal-01064909⟩