ABSTRACT
This chapter examines the wave propagation characteristics of beams, plates, and sandwich shells that have an auxetic core. Hamilton’s concept was used during the investigation of the governing equation of the system.
The characteristics included in this study comprise the distribution pattern and content of graphene, the folding degree of GOri, the temperature, wave number, and the coefficients of the elastic foundation. The second half of the study focuses on examining the wave dispersion properties of an auxetic plate composed of smart piezoelectric nanocomposite layers positioned at the top and bottom of the composite plate, while including an auxetic core. In the last section of this chapter, an examination was conducted on the influence of the auxetic layer on wave propagation in auxetic shells, as well as its impact on the effective features of cylindrical sandwich shells.
