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
Table of Contents:
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