Piezoelectric-piezomagnetic behaviour of coated long fiber composites accounting for eigenfields

Abstract

A unified micromechanical approach is proposed to evaluate the electro-magneto-mechanical response of coated long fiber composites with transversely isotropic piezoelectric-piezomagnetic behaviour. The developed framework takes into account the presence of electro-magneto-mechanical eigenfields. The multiscale strategy is based on solving specific boundary value problems in the same spirit as in the Composite Cylinders Assemblage technique. The solution of these problems provides analytical expressions of the dilute electro-magneto-mechanical concentration tensors. With the help of the latter, the mean-field approach of Mori-Tanaka is adapted to identify i) the overall response of the composite, and ii) the various average electro-magneto-mechanical fields generated in the matrix, the fiber and the coating layers for known macroscopic fields. It is found that the novel approach has the same accuracy as existing homogenization techniques in terms of electro-magneto-mechanical properties. The ability of the proposed model to predict both macroscopic and average microscopic fields per phase when eigenfields take place is finally demonstrated.