Abstract
The response of electro-magneto-elastic long fiber composites containing periodically distributed reinforced phases under antiplane shear load coupled with inplane electromagnetic load, which lead to the antiplane deformation mode, is dealt with. There are three different electro-magneto-elastic materials in the unit cell (3-phase model), a rigorous analytical method is developed by using the generalized eigenstrains concept integrated with the doubly quasiperiodic Riemann boundary value problem theory. The expressions of electro-magneto-elastic fields in each phase of composites are obtained. As an important application of the presented solution, the effective electro-magneto-elastic moduli are predicted by using the average field theorem and compared with the results derived from the generalized self-consistent method.
Highlights
The electro-magneto-elastic composites, which possess excellent magneto-electric coupling effect, have recently attracted much attention due to the extensive applications for broadband magnetic field probes, electronic packaging, medical ultrasonic imaging, sensors, and actuators [1,2]
The present paper deals with the electro-magneto-elastic composites containing doubly periodic parallelogram arrangement of reinforced phases under antiplane shear load coupled with in plane electromagnetic load, which lead to the antiplane deformation mode
1874-088X/11 developed, the effective electro-magneto-elastic moduli are predicted by using the average field theorem and compared with the results derived from the generalized self-consistent method (GSCM)
Summary
The electro-magneto-elastic composites, which possess excellent magneto-electric coupling effect, have recently attracted much attention due to the extensive applications for broadband magnetic field probes, electronic packaging, medical ultrasonic imaging, sensors, and actuators [1,2]. Boyd et al [3] presented a method for using arrays of microelectro-mechanical systems electrodes and electromagnets to achieve micro scale positioning of piezoelectric and piezomagnetic particles in liquid polymers, which would be solidified to make a polymer matrix magneto-electric composite. By using finite element analysis and volumetric averaging technique, a study on the effective electro-magneto-elastic properties of composites containing a doubly periodic arrangement of piezoelectric and piezomagnetic phases was finished by Lee et al [4]. In their analysis, complicated periodic boundary conditions of the displacement, electric potential and magnetic potential were subjected to the boundaries of the unit cell. 1874-088X/11 developed, the effective electro-magneto-elastic moduli are predicted by using the average field theorem and compared with the results derived from the generalized self-consistent method (GSCM)
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