Wave Propagation Analysis of Smart Nanostructures presents a mathematical framework for the wave propagation problem of small-scale nanobeams and nanoplates manufactured from various materials, including functionally graded composites, innovative piezoelectric materials, and innovative magneto-electro-elastic materials, innovative magnetostrictive materials, porous materials, and magnetostrictive materials. In this book, classical and refined higher-order shear deformation beam and plate hypotheses will be employed to formulate the wave propagation problem using the well-known Hamilton principle. Besides, the influences of small scale on the mechanical behaviours of the nanostructures will be covered using nonlocal elasticity and nonlocal strain gradient elasticity theories. Impacts of various terms such as elastic springs of elastic foundation, damping coefficient of the viscoelastic substrate, different types of temperature change, applied electric voltage and magnetic potential, and intensity of an external magnetic field on the dispersion curves of nanostructures will be included in this book in the framework of numerical examples