Localization of elastic waves in one-dimensional detuned phononic crystals with flexoelectric effect

Although forbidden band effect in perfectly periodic phononic crystals (PC) is very attractive, random disordered (i.e. detuning) phenomenon inevitable engineering processing, thus exploring the of detuning on wave characteristics PC becomes a necessity. In this study, fundamental governing equations and boundary conditions are derived from principle virtual work. Wave localization factor one-dimensional (1D) detuned nano-PC investigated based transfer matrix method, with flexoelectric duly accounted for. Subsequently, BaTiO3−SrTiO3 taken for illustration, properties 1D elastic waves harmonic states systematically characterized. It demonstrated that can characterize energy structure perfectly. Flexoelectric tends to widen width increasing detuning, linearly related bandwidth. The more sensitive coefficient than thickness detuning. research results provide useful theoretical guidance designing high-frequency nanoscaled devices function filtering gap nano-PC.