Overall thermo-magneto-electro-elastic properties of multiferroics composite materials with arbitrary heterogeneities spatial distributions

This study extends our recent work (Koutsawa, 2014) to multiferroics composite materials with temperature-independent properties. The key ingredient in this development is the computation of the so-called interaction tensors between the multiferroics inhomogeneities which are for the first time presented here for the magneto-electro-elastic coupling. The present mean field based micromechanics model is able to account for the morphological and topological textures of the multiferroics heterogeneities. Numerical examples based on the multiple site Mori-Tanaka model are used to quantify the prediction capabilities of the proposed micromechanics scheme. The predictions of the micromechanics model are compared to those of the variational asymptotic method for unit-cell homogenization (VAMUCH), a finite element based micromechanics approach. There is a good quantitative agreement between the mean field model predictions and numerical results obtained with VAMUCH. The model is then applied to three typical packing arrangements of particulate thermo-magneto-electro-elastic composites, namely, Body Centered Cubic (BCC), Face Centered Cubic (FCC) and Simple Cubic (SC) to demonstrate its capability to account for the topological texture of multiferroics composite materials microstructures.