Functionally graded materials (FGM) are composite materials with a gradual variation in composition and microstructure across their length, which allows for tailoring their mechanical, thermal, or electrical properties to meet specific design requirements. The field of FGMs is now well established but in recent years attention has turned to nano and microscale FGMs and they are being extensively studied due to their potential applications in advanced technologies such as micro-electro-mechanical systems (MEMS), nanoelectro-mechanical systems (NEMS), biomedical devices, etc. The objective of this book is to bring together the latest research and developments in the area of bending, buckling and vibration analysis of functionally graded nano and microstructures. This book covers a range of mathematical and computational topics including including different analytical, semi-analytical, and numerical procedures along with their corresponding simulation results, and also addresses the challenges posed by various nonlocal theories, complicating effects, such as porosity, thermal effect, magnetic field, piezoelectric effect, piezo magnetic effect, etc., in the mathematical modeling of FGM structures. This book is intended for graduate students, researchers, and professionals in mechanical & civil engineering, applied mathematics, materials science and related fields. It will serve as a valuable reference for those interested in understanding the static and dynamic behaviours of functionally graded nano and microstructures and their applications in advanced technologies.

Key Features:

• Covers the preliminary and chronological development of functionally graded 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

Chapter 1: Introduction to Functionally Graded Micro and Nano Structures

Chapter 2: Static Analysis of Functionally Graded Micro or Nano Beams

Chapter 3: Static Analysis of Functionally Graded Micro or Nano Beams with Complicating Effects

Chapter 4: Static Analysis of Functionally Graded Micro or Nano Plates

Chapter 5: Static Analysis of Functionally Graded Micro or Nano Plates with Complicating Effects

Chapter 6: Stability Analysis of Functionally Graded Micro or Nano Beams

Chapter 7: Stability Analysis of Functionally Graded Micro or Nano Beams with Complicating Effects

Chapter 8: Stability Analysis of Functionally Graded Micro or Nano Plates

Chapter 9: Stability Analysis of Functionally Graded Micro or Nano Plates with Complicating Effects

Chapter 10: Vibration Analysis of Functionally Graded Micro or Nano Beams

Chapter 11: Vibration Analysis of Functionally Graded Micro or Nano Beams with Complicating Effects

Chapter 12: Vibration Analysis of Functionally Graded Micro or Nano Plates

Chapter 13: Vibration Analysis of Functionally Graded Micro or Nano Plates with Complicating Effects