On the dynamics of sonic composites

The paper is concerned with the full band-gaps size and the localized modes around interfaces in a multilayer film. The film consists of alternating layers of piezoelectric ceramics and epoxy resin following a triadic Cantor sequence. The Cantor structure is characterized by anharmonic coupling between the extended-mode (phonon) and the localized-mode (fracton) vibration regimes, and by extremely low thresholds for subharmonic generation of ultrasonic waves, as compared to the corresponding homogeneous and periodical ones. The dynamic optimization tracks the enhancing of full band-gaps for both Lamb and Love waves.