“…Note that an interface defined by (1) is damaged mechanically, electrically and magnetically, that is, the elastic displacement, the electric potential, and the magnetic potential are all discontinuous across the interface. The macro-model in (1) has been widely used for analyzing imperfect interfaces between piezomagnetic/piezoelectric materials (see, for example, Fan et al, [13] Huang and Li, [15] Kuo, [17] Melkumyan and Mai, [20] Nie et al, [22] and Sun et al [27] ). Most papers in the literature assumed that the jumps in the elastic displacement, the electric potential and the magnetic potential across the interface were decoupled from one another in (1), that is, they assumed that , , , , , and in (1) are null quantities.…”