Mathematical justification of the apparition of the electromagnetic coupling

Somsak Orankitjaroen (1, 2) , Christian Licht (3, 2, 1) , Thibaut Weller (3)

1 Department of Mathematics
2 Centre of Excellence in Mathematics
3 M3 - Mathématiques et Modélisations en Mécanique

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.

Mots clés: Homogenization; Two-scale convergence; Piezoelectricity; Piezomagnetism

Domaines: Physique mathématique [math-ph]; Electromagnétisme

Somsak Orankitjaroen, Christian Licht, Thibaut Weller. Mathematical justification of the apparition of the electromagnetic coupling. Advances in Difference Equations, 2019, 2019 (1), pp.185. ⟨10.1186/s13662-019-2126-0⟩. ⟨hal-02137074⟩