The objective of this book is to bring together the latest research and developments in functionally graded nano and microstructures and their applications in advanced technologies. This book covers a range of mathematical and computational topics including different analytical, semi-analytical, and numerical procedures along with their corresponding simulation results, whilst also addressing the challenges posed by various nonlocal theories, complicating effects, in the mathematical modeling. This book is essential material for graduate students, researchers, and professionals in mechanical & civil engineering, applied mathematics, materials science and related fields. Key Features: Covers the preliminary and development of FGM nano and microstructures The book provides an in-depth background on the mathematical methods Incudes computational procedures with simulation results Provides a variety of easy-to-understand example problems Uses different analytical, semi-analytical and numerical procedures for finding exact and/or approximate solutions of governing equations