This book explores the mechanics of smart nanocomposite sandwich plates, discussing various relevant theories of mechanical analysis such as buckling, vibration and dynamic instability. It presents different models for obtaining the effective material properties of nanocomposite structures such as Mori-Tanaka, mixture, micro-electro-mechanical and Halpin-Tsai. In addition, the basic equations for smart materials are introduced, while the governing equations for various examples are derived on the basis of the energy method and Hamilton's principle.