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In this book, mathematical modelling and numerical study of concrete beams with nanoparticles in structures are presented. The main purpose of this book is discussing about various theories of beams for static and dynamic analysis. This is an essential and basic book for Msc. and PhD. students for developing their works in the field of mathematical modelling and numerical study of structures. Here, various theories of beams such as classical, Timoshenko, sinusoidal and higher-order are presented. Due to using nanoparticles in concrete beam, different models are discussed for obtaining the...

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.