Mathematical justification of the apparition of the electromagnetic coupling

Abstract

Abstract By using the asymptotic analysis method as regards two-scale convergence we derive the effective behavior of a fine mixing of piezoelectric material and piezomagnetic material. It can be shown that an electromagnetic coupling arises only when each phase is connected and the interface is electrically and magnetically impermeable.

Keywords

• Homogenization
• Two-scale convergence
• Piezoelectricity
• Piezomagnetism