Static magnetoelectric coupling of magnetoelectric laminated composites under combined temperature and stress loadings

Abstract

For the tri-layer symmetric magnetoelectric (ME) laminated composites made of giant magnetostrictive materials and piezoelectric materials, we chose the nonlinear magnetostrictive constitutive with variable coefficients and the linear piezoelectric constitutive to obtain the vibration equation for the laminated composites. The surface force and displacement speed were equivalent to the circuit voltage and current in the equivalent circuit for the laminated composites. According to the equivalent circuit, a model of the static magnetoelectric field coefficient for the strong nonlinear thermo-magneto-electro-mechanical coupling was obtained. Without considering the pre-stress, the comparisons of the static ME coefficient versus temperature curves for the experimental and theoretical results were in good agreement both qualitatively and quantitatively for low and moderate magnetic fields. The theoretical results were smaller than the experimental results under high magnetic fields. This model was adopted to predict variations in the ME coefficients in the laminated composites under different bias magnetic fields, temperatures, and stresses. This showed that the laminated composites had the strongest magnetoelectric effect at 0 °C; a large compressive stress effectively suppressed the magnetoelectric effect attenuation caused by high temperatures; an appropriate tensile stress improved the maximum magnetoelectric coefficient and lowered its bias magnetic field near room temperature. These results provide a theoretical basis for the design and application of high-performance and miniaturized magnetoelectric devices, operating under extreme temperature conditions.