Mechanically, electrically and magnetically imperfect interface conditions via first-order plate theory

Abstract

We show systematically that when an interface between two materials is treated as a thin layer modelled by the first-order plate theory, the conventional mechanically, electrically and magnetically imperfect interface conditions can be derived from the plate theory. Specifically, the continuity of those components of the stress tensor, electric displacement vector and magnetic induction vector related to the normal of the interface are continuous at the interface as a consequence of the zero-order plate equations, but the displacement vector, electric potential and magnetic potential may have discontinuities across the interface as a consequence of the first-order plate equations. This procedure also shows the conditions or limitations of the conventional imperfect interface conditions.