Effect of the imperfect interface on the scattering of SH wave in a piezoelectric cylinder in a piezomagnetic matrix

We propose an exact analysis for the scattering of an anti-plane shear wave by a piezoelectric circular cylinder in a piezomagnetic matrix with imperfect interfaces. Two typical imperfect interfaces are investigated: mechanically stiff and highly electromagnetic conducting interfaces, and mechanically compliant and weakly electromagnetic conducting interfaces. We obtain the fields of scattered wave by means of series expansion, and show that whether the interface is a perfect contact or with imperfection, it is sufficient to invert a 4×44×4 matrix and an infinite number of 6×66×6 matrices to solve the involved unknowns. Numerical examples are presented to demonstrate the effect of the imperfection on the directivity patterns, scattering cross-sections, and potential field distributions. Results show that the mechanical or highly electric conducting imperfect interface has great effect on those values. Further, we observe a large low-frequency peak of the scattering cross-section for the composite with mechanical stiff imperfection.