Mathematical modeling of fully coupled reinforced Magneto-Electro-Thermo-Mechanical effective properties based on conditioned micromechanics.

This paper deals with a mathematical modeling of fully coupled reinforced magneto-electro-thermo-mechanical behaviors. The modeling is based on micro–macro transition inclusion problem using the localization and concentration tensors. Various micromechanical modelings are elaborated mainly the Mori–Tanaka, self-consistent, incremental self consistent and the differential approaches. The higher dispersion between the magneto-electro-elastic properties leads to ill-conditioned concentration tensors. This drawback is point out here and a remedy based on block matrix formulations leading to well-conditioned tensors is proposed. The effective magneto-electro-thermo-elastic moduli are derived as a function of the resulting well-conditioned magneto-electro-thermo-mechanical concentration tensors. These properties are derived for different inclusion's volume fraction, types, and shapes, and compared with the existing results. • Mathematical modeling of effective properties of fully coupled thermo-magneto-electro-mechanical heterogeneous materials. • General mathematical formulation using the thermal strain effect and elliptic integrals. • Elaboration of thermo-magneto-electro-elastic Green's functions and integral equations formulations. • Well conditioned localization tensors based on block decompositions for stable and accurate modeling. • Computation of effective anisotropic thermal conductivity and thermo-magneto-electro-elastic coefficients. [ABSTRACT FROM AUTHOR]