Surface/interface effect around a piezoelectric nano-particle in a polymer matrix under compressional waves

Abstract

In this letter, the scattering of plane harmonic compressional wave around a nanosized piezoelectric particle is studied. The surface/interface model of Gurtin and Murdoch [Arch. Ration. Mech. Anal. 57, 291 (1975)] is extended to the coupling of stress and electric displacement. The results show that the scattering effect of compressional waves is significantly related to the coupling effect of surface/interface. For incident waves with different frequencies, the influence of surface energy on the dynamic stress and electric displacement around the piezoelectric particle is discussed in details.