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

Abstract : 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.
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Y. Espinosa-Almeyda, Reinaldo Rodrıguez-Ramos, Raul Guinovart-Dıaz, 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, Elsevier, 2014, 51 (21-22), pp.3508-3521. ⟨10.1016/j.ijsolstr.2014.05.030⟩. ⟨hal-01064909⟩

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