Micromechanics predictions of the effective magnetoelastic responses of hybrid fiber-reinforced composites

The modeling of the overall magnetoelastic behavior of hybrid fiber-reinforced composites concerned about nonlinear piezomagnetism is accomplished via a two-scale micromechanical analysis that is based on the simplified unit-cell and Mori-Tanaka theories, respectively. Two theories are reformulated in a similar framework insofar as the concentration-factor matrices are concerned. The derived expressions for the effective properties and responses of the hybrid composites are explicit functions. We compare the predicted engineering constants with the measured data available in literatures and good agreements are obtained. We conduct a parametric study to reveal the effects of phase concentrations, boundary conditions and phase constituents on the overall magnetoelastic responses of hybrid fiber-reinforced composites. Blocked stress and free strain in 3-1 operating mode can be significantly improved by tailoring the matrix phase. Predictions between two micromechanics theories are close each other. Since the developed mathematical frameworks are explicit, they can be easily integrated into finite element analysis for composite structures.