Mechanical Analyses of Nanoscale Beams

Farzad Ebrahimi, Ph.D.
Mech. Eng. Dept., Imam Khomeini International University, Qazvin, Iran.

Series: Mechanical Engineering Theory and Applications
BISAC: TEC009070




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A material structure assembled from a layer or cluster of atoms with the size of the order of nanometers is called a nanostructure. There are many events such as the discovery of scanning electron microscopy that gave fillip to nanotechnology research. However, with the discovery of a new allotrope of carbon in the late 1980s and early 1990s, namely the fullerene, carbon nanotubes, and graphene, a new chapter in nanotechnology research has emerged. These have become the basic building blocks for many nanodevices such as nano sensors, nano actuators, nano gyroscopes, etc. All of these devices are packaged under Nano Electro Mechanical Systems (NEMS) or Nano Opto Mechanical Systems (NOMS) devices. The key elements in these devices are the nanobeams, nanorods, nanoplates and nanoshells, respectively.

This book is a comprehensive text to cover the mechanical analyses of nanobeams. The book introduces the reader to the fundamentals, as well as more in-depth aspects, of vibration and buckling analyses of nanoscale beams faced with different environments and the associated latest research applications. Most of the solutions presented in these chapters are the results of investigations conducted by the author and his collaborators since 2015. The results presented herein may be treated as a benchmark for checking the validity and accuracy of other numerical solutions. Despite a number of existing texts on the theory and analysis of nanoscale beams, there is not a single book that is devoted entirely to the mechanical investigation of nanobeams. It is hoped that this book willfill the gap to some extent and be used as a valuable reference source for postgraduate students, engineers, scientists, and applied mathematicians in thisfield.
(Imprint: Nova)

Chapter 1. Preface

Section I. Introduction

Chapter 2. Introduction to Nanostructures

Section II. Vibration Analysis

Chapter 3. Euler-Bernouli Beam Theory

Chapter 4. Timoshenko Beam Theory

Chapter 5. Reddy Beam Theory

Chapter 6. Unified Formulation

Chapter 7. Axially Functionally Graded (AFG) Nanobeams

Chapter 8. Curved Nanobeams

Chapter 9. Viscoelastic Nanobeams

Section III. Buckling Analysis

Chapter 10. Euler-Bernouli Beam Theory

Chapter 11. Timoshenko Beam Theory

Chapter 12. Reddy Beam Theory

Chapter 13. Unified Formulation

Chapter 14. Axially Functionally Graded (AFG) Nanobeams

Chapter 15. Curved Nanobeams

Chapter 16. References

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