
Modelling and Mechanics of Carbon-based Nanostructured Materials
Description
Key Features
- Explores how modeling and mechanical principles are applied to better understand the behavior of carbon nanomaterials
- Clearly explains important models, such as the Lennard-Jones potential, in a carbon nanomaterials context
- Includes worked examples and exercises to help readers reinforce what they have read
Readership
Early career scientists, advanced graduate students, professional engineers and R&D researchers working in the areas of materials science and nanoscience who are seeking to gain a better understanding of mechanical and modelling principles as they relate to carbon nanomaterials
Table of Contents
Chapter 1: Geometry and Mechanics of Carbon Nanostructures
- Abstract
- 1.1 Background
- 1.2 Carbon Nanostructures
- 1.3 Interaction Between Molecular Structures
- 1.4 Book Overview
- Exercises
Chapter 2: Mathematical Preliminaries
- Abstract
- 2.1 Introduction
- 2.2 Dirac Delta Function: δ(x)
- 2.3 Heaviside Function: H(x)
- 2.4 Gamma Function: Γ(z)
- 2.5 Beta Function: B(x, y)
- 2.6 Hypergeometric Function: F(a,b;c;z)
- 2.7 Appell’s Hypergeometric Function: F1(a;b,b’;c;x,y)
- 2.8 Associated Legendre Functions: Pνμ(z) and Qνμ(z)
- 2.9 Chebyshev Polynomials: Tn(x) and Un(x)
- 2.10 Elliptic Integrals: F(ϕ, k) and E(ϕ, k)
- Exercises
Chapter 3: Evaluation of Lennard-Jones Potential Fields
- Abstract
- 3.1 Introduction
- 3.2 Interaction of Linear Objects
- 3.3 Interaction of a Spherical Surface
- 3.4 Interaction of a Cylindrical Surface
Chapter 4: Nested Carbon Nanostructures
- Abstract
- 4.1 Introduction
- 4.2 Atom@Fullerene—Endohedral Fullerene
- 4.3 Fullerene@Fullerene—Carbon Onion
- 4.4 Fullerene@Carbon Nanotube
- 4.5 Carbon Onion@Carbon Nanotube
- 4.6 Carbon Nanotube@Carbon Nanotube—Double-Walled Carbon Nanotube
- 4.7 Nanotube Bundles
- 4.8 Carbon Nanotube@Nanotube Bundle
- 4.9 Fullerene@Nanotube Bundle
- Exercises
Chapter 5: Acceptance Condition and Suction Energy
- Abstract
- 5.1 Introduction
- 5.2 C60 Fullerene Inside a Carbon Nanotube
- 5.3 Double-Walled Carbon Nanotubes
- 5.4 Nanotube Bundle
- Exercises
Chapter 6: Nano-oscillators
- Abstract
- 6.1 Introduction
- 6.2 Oscillation of a Fullerene C60 Inside a Single-Walled Carbon Nanotube
- 6.3 Oscillation of Double-Walled Carbon Nanotubes
- An alternative approach
- 6.4 Oscillation of Nanotubes in Bundles
- Exercises
Chapter 7: Mechanics of More Complicated Structures: Nanopeapods and Spheroidal Fullerenes
- Abstract
- 7.1 Introduction
- 7.2 Nanopeapods
- 7.3 Spheroidal Fullerenes
- Exercises
Chapter 8: Nanotubes as Drug Delivery Vehicles
- Abstract
- 8.1 Introduction
- 8.2 Underlying Mathematics
- 8.3 Encapsulation of Cisplatin Into a Carbon Nanotube
- 8.4 Alternative Nanotube Materials
- Exercises
Chapter 9: New Formulae for the Geometric Parameters of Carbon Nanotubes
- Abstract
- 9.1 Introduction
- 9.2 Conventional ‘Rolled-Up’ Model
- 9.3 New ‘Polyhedral’ Model
- 9.4 Details of the Polyhedral Model
- 9.5 Results
- 9.6 Conclusion
- Exercises
Chapter 10: Two Discrete Approaches for Joining Carbon Nanostructures
- Abstract
- 10.1 Introduction
- 10.2 Nanotori
- 10.3 Joining Carbon Nanotubes and Flat Graphene Sheets
- 10.4 Nanobuds
- Exercises
Chapter 11: Continuous Approach for Joining Carbon Nanostructures
- Abstract
- 11.1 Introduction
- 11.2 Calculus of Variations
- 11.3 Joining Carbon Nanotubes and Flat Graphene Sheets
- 11.4 Nanobuds
- 11.5 Nanopeanuts
- Exercises
Hints and Solutions
- Chapter 1
- Chapter 2
- Chapter 4
- Chapter 5
- Chapter 6
- Chapter 7
- Chapter 8
- Chapter 9
- Chapter 10
- Chapter 11
Product details
- No. of pages: 386
- Language: English
- Copyright: © William Andrew 2017
- Published: January 18, 2017
- Imprint: William Andrew
- eBook ISBN: 9780128124642
- Paperback ISBN: 9780128124635
About the Authors
Duangkamon Baowan
Affiliations and Expertise
Barry Cox
Affiliations and Expertise
Tamsyn Hilder
Affiliations and Expertise
James Hill
Affiliations and Expertise
Ngamta Thamwattana
Affiliations and Expertise
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