Modelling and Mechanics of Carbon-based Nanostructured Materials

Modelling and Mechanics of Carbon-based Nanostructured Materials sets out the principles of applied mathematical modeling in the topical area of nanotechnology. It is purposely designed to be self-contained, giving readers all the necessary modeling principles required for working with nanostructures.

The unique physical properties observed at the nanoscale are often counterintuitive, sometimes astounding researchers and thus driving numerous investigations into their special properties and potential applications. Typically, existing research has been conducted through experimental studies and molecular dynamics simulations. This book goes beyond that to provide new avenues for study and review.

Explores how modeling and mechanical principles are applied to better understand the behavior of carbon nanomaterialsClearly explains important models, such as the Lennard-Jones potential, in a carbon nanomaterials contextIncludes worked examples and exercises to help readers reinforce what they have read

1. Geometry and Mechanics of Carbon Nanostructures 2. Mathematical Preliminaries 3. Evaluation of Lennard-Jones Potential Fields 4. Nested Carbon Nanostructures 5. Acceptance Condition and Suction Energy 6. Nano-oscillators 7. Mechanics of More Complicated Structures: Nanopeapods and Spheroidal Fullerenes 8. Nanotubes as Drug Delivery Vehicles 9. New Formulae for the Geometric Parameters of Carbon Nanotubes 10. Two Discrete Approaches for Joining Carbon Nanostructures 11. Continuous Approach for Joining Carbon Nanostructures