Flexural wave band structure of magneto-elastic phononic crystal nanobeams based on the nonlocal theory

Abstract

Phononic crystals are widely researched for new kinds of functional composites. However, studies on magneto-elastic PCs at nanoscale that show special superiorities are quite limited. Considering the nonlocal effect and nonlinear magneto-mechanical coupling, this work establishes a theoretical model for size-dependent flexural wave band structure of magneto-elastic PC nanobeams with magnetostrictive materials according to the Euler–Bernoulli beam model and nonlocal theory. The influence of nonlocal parameter, pre-stress and magnetic field on band structure of Titanium/Terfenol-D PC nanobeams is analyzed. The results show that the nonlocal effect has a remarkable weakening impact on the dispersion curve of high order band gap. In addition, band gap exhibits complex nonlinear coupling characteristics due to the consideration of pre-stress and magnetic field. Moreover, geometric parameter plays an important role in determining the size-dependent band structure. Consequently, the research may be helpful for flexible regulation of elastic wave propagation in PC nanobeam-based devices.