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

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Modeling of Carbon Nanotubes, Graphene and their Composites

Part of the book series: Springer Series in Materials Science ((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.

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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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  1. Department of Mechanical and Manufacturing Engineering, University of Manitoba, Winnipeg, MB, R3T 5V6, Canada

    Behrouz Arash & Quan Wang

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  1. Behrouz Arash
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Correspondence to Behrouz Arash .

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  1. Dept of Mechanical Engg & Aeronautics, University of Patras, Patras, Greece

    Konstantinos I. Tserpes

  2. Department of Mechanical Engineering, IDMEC, University of Lisbon, Lisbon, Portugal

    Nuno Silvestre

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Arash, B., Wang, Q. (2014). A Review on the Application of Nonlocal Elastic Models in Modeling of Carbon Nanotubes and Graphenes. In: Tserpes, K., Silvestre, N. (eds) Modeling of Carbon Nanotubes, Graphene and their Composites. Springer Series in Materials Science, vol 188. Springer, Cham. https://doi.org/10.1007/978-3-319-01201-8_2

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