Wave Propagation in Nanostructures describes the fundamental and advanced concepts of waves propagating in structures that have dimensions of the order of nanometers. The book is fundamentally based on non-local elasticity theory, which includes scale effects in the continuum model. The book predominantly addresses wave behavior in carbon nanotubes and Graphene structures, although the methods of analysis provided in this text are equally applicable to other nanostructures.

The book takes the reader from the fundamentals of wave propagation in nanotubes to more advanced topics such as rotating nanotubes, coupled nanotubes, and nanotubes with magnetic field and surface effects. The first few chapters cover the basics of wave propagation, different modeling schemes for nanostructures and introduce non-local elasticity theories, which form the building blocks for understanding the material provided in later chapters. A number of interesting examples are provided to illustrate the important features of wave behavior in these low dimensional structures.

Carbon Nanotubes
Cut-Off Frequency
Escape Frequency
Group Seeds
Introduction to Nanostructures
Introduction to Wave Propagation
Modeling Techniques for Nanostructures
Molecular Dynamics for Wave Propagation
Nonlocal Elasticity
Wave Propagation
Wave Propagation Terminologies
Wave Propagation in Nanobeams
Wave Propagation in Nanorods
Wave Propagation in Structures

• Front Matter
• Introduction to Nanostructures
• Introductory Concepts of Wave Propagation Analysis in Structures
• Various Modeling Techniques for Nanostructures
• Theory of Nonlocal Elasticity
• Material Property and Nonlocal Scale Parameter Estimation for Carbon Nanotubes
• Wave Propagation in 1D-Nanostructures: Nanorods
• Wave Propagation in 1D-Nanostructures: Nanobeams
• Wave Propagation in Multi-Walled Carbon Nanotubes
• Wave Propagation in Coupled 1D-Nanosystems
• Wave Propagation in 2D-Nanostructures
• Wave Propagation in Nanoshells
• Back Matter

Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India
Srinivasan Gopalakrishnan

Defence Research and Development Organisation (DRDO), Hyderabad, India
Saggam Narendar

Book Title
Wave Propagation in Nanostructures

Book Subtitle
Nonlocal Continuum Mechanics Formulations

Authors
Srinivasan Gopalakrishnan, Saggam Narendar

Series Title
NanoScience and Technology

DOI
https://doi.org/10.1007/978-3-319-01032-8

Hardcover ISBN
978-3-319-01031-1
Published: 23 September 2013

Softcover ISBN
978-3-319-37706-3
Published: 23 August 2016

eBook ISBN
978-3-319-01032-8
Published: 10 September 2013

Series ISSN
1434-4904

Series E-ISSN
2197-7127

Edition Number
1

Number of Pages
XIII, 359

Number of Illustrations
10 b/w illustrations, 147 illustrations in colour

Topics
Nanoscale Science and Technology, Solid Mechanics, Classical Mechanics, Nanotechnology, Nanotechnology and Microengineering