Nanotechnology

AAP Research Notes on Nanoscience and Nanotechnology

Foundations of Nanotechnology, Volume 3 Mechanics of Carbon Nanotubes Saeedeh Rafiei Ordering Info/Buy Book

Published. Available now. Pub Date: May 2015 Hardback Price: see ordering info Hard ISBN: 9781771880763 Paperback ISBN: 978-1-77463-106-5 E-Book ISBN: 9781498703703 Pages: 296 pp + index Binding Type: hardbound / ebook / paperback Series: AAP Research Notes on Nanoscience and Nanotechnology

Now Available in Paperback

CONTENTS:
Preface
Chapter 1. Introduction

1.1. Carbon nanotubes’s (CNTs) and nano composite properties

1.2. Classification of CNT/polymer nanocomposites

1.3. Molecular structure of CNTs

1.3.1. Bonding mechanisms

1.3.2. From graphene sheet to single-walled nanotube

1.3.3. Multi-walled carbon nanotubes and scroll-like structures

1.4. Structural characteristics of carbon nanotubes

1.5. Characterization of carbon nanotubes

1.6. Mechanics of carbon nanotubes

1.6.1. Single-walled carbon nanotubes

1.6.2. Multi-walled carbon nanotubes

1.7. Nanotube-based polymer composites

2.1. Molecular scale methods

2.1.1. Molecular dynamics

2.1.2. Monte Carlo

2.2. Microscale methods

2.2.1. Brownian dynamics

2.2.2. Dissipative particle dynamics

2.2.3. Lattice Boltzmann

2.2.4. Time-dependent Ginzburg– Landau method

2.2.5. Dynamic DFT method

2.3. Mesoscale and macroscale methods

2.4. Micromechanics

2.4.1. Basic concepts

2.4.2. Halpin– Tsai model

2.4.3. Mori– Tanaka model

2.4.4. Equivalent-continuum and self-similar

2.4.5. Finite element method

2.5. Multi scale modeling of mechanical properties

2.6. Modeling of the interface

2.6.1. Introduction

2.6.2. Some methods in interface modeling

2.6.3. Numerical approach

2.7. Concluding remarks

3.1. Continuum shell model for SWCNT

3.2. Problems encountered in continuous cylindrical modelling

3.3. Analytical technique based on asymptotic homogenization

3.3.1. Asymptotic homogenization of a general composite shell

3.3.2. Asymptotic treatment of cylindrical network shell with periodic structure

3.3.3. Numerical technique based on finite element implementation

3.3.4. Correlation between structural and molecular mechanics

3.3.5. Modeling of nanotubes using finite element model

3.3.6. Modeling Results and discussion

3.3.6.1. Results from the asymptotic homogenization technique

3.3.6.2. Results from the numerical FE based method

3.4. Structural mechanics approach to carbon nanotubes

3.4.1. Potential functions of molecular mechanics

3.4.2. Linkage between sectional stiffness parameters and constants of force fields

3.5. Young’s modulus of a graphene sheet

3.5.1. Young’s modulus of a single-walled carbon nanotube

3.5.2. Shear modulus of a single-walled carbon nanotube

4.1. Molecular mechanics

4.2. Principles and energy formulations

4.3. Electrostatic energy

4.4. Cross terms

4.5. Specific potentials

4.6. Extensions and hybrid methods

4.7. Homogenization from graphene modeling

4.8. Lattice configuration and variational formulation

4.9. Homogenized law

4.10. Continuum modeling with the exponential cauchy-born rule

4.10.1. The cauchy-born rule

4.10.2. The exponential rule

4.10.3. Application to carbon nanotubes

5.1. Parametric molecular generation

5.2. Structure of the mechanical models

5.2.1. Reference configuration

5.2.2. Energy and dynamics

5.3. Atomic-scale finite element method

5.3.1. Atomic-scale finite elements

5.4. Application to atom chains and nanotubes

5.5. Nonlinearity and stability

5.6. Dynamics of the molecular system

5.6.1. Time integration

5.7. Numerical scheme and complexity of the dynamics

5.8. Numerical results

5.9. Diameters and lengths at the energy ground

5.10. Young’s moduli

5.11. Poisson’s ratios

5.12. Shear moduli

5.13. Young’s moduli of defective nanotubes

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