Modelling and Mechanics of Carbon-based Nanostructured Materials

The advent of nanotechnology has generated considerable advances in industries such as composite materials, electronics and medicine. The unique physical properties observed at the nanoscale are often counter-intuitive, sometimes astounding researchers and thus driving numerous investigations into their special properties and their potential applications. Typically, existing research has been conducted through experimental studies and molecular dynamics simulations. However, often mathematical modelling facilitates device development and provides a quicker route to applications of the technology. Modelling and Mechanics of Carbon-based Nanostructured Materials sets out the principles of applied mathematical modelling in the currently topical area of nanotechnology. It is purposely designed to be self-contained, meaning that one can gain all the necessary modeling principles required for working with nanostructures by reading it. This demonstrates the process of utilizing elementary geometry and mechanics, combined with special function theory, to formulate simple applied mathematical models in a nanotechnology context. Explores how modelling 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 to reinforce what they have read