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A Review on the Application of Nonlocal Elastic Models in Modeling of Carbon Nanotubes and Graphenes

  • Behrouz ArashEmail author
  • Quan Wang
Chapter
Part of the Springer Series in Materials Science book series (SSMATERIALS, volume 188)

Abstract

Recent research studies on the application of the nonlocal continuum theory in modeling of carbon nanotubes and graphene sheets are reviewed, and substantial nonlocal continuum models proposed for static and dynamic analyses of the nano-materials are introduced. The superiority of the nonlocal continuum theory to its local counterpart, and the necessity of calibration of the small-scale parameter as the key parameter revealing small-scale effects are discussed. The nonlocal beam, plate, and shell models are briefly presented and potential areas for future research are recommended. It is intended to provide an introduction to the development of the nonlocal continuum theory in modeling the nano-materials, survey the different nonlocal continuum models, and motivate further applications of the nonlocal continuum theory to nano-material modeling.

Keywords

Carbon nanotubes Graphene sheets Nonlocal continuum theory Modeling and simulations Small scale effect 

Notes

Acknowledgments

This research was undertaken, in part, thanks to funding from the Canada Research Chairs Program (CRC) and the National Science and Engineering Research Council (NSERC).

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© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of Mechanical and Manufacturing EngineeringUniversity of ManitobaWinnipegCanada

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