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Continuous-Molecular Approach to Modeling of Nanostructures

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Encyclopedia of Continuum Mechanics

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Synonyms

Carbon nanotubes; Cauchy-Born rule; Covalent bonds; Molecular potentials; Nanostructures; Stress tensor

Definitions

The continuous–molecular description of nanoscale systems (or nanoscale domains of representative volume elements RVE embedded into a continuum) presents a family of modeling methods which constitute a bridge (link) between molecular dynamics and continuum mechanics. It combines the molecular structure of the material with the continuum mechanics model taking intermolecular effects into account. Molecular dynamics treats the set of molecules as a system of material points subjected to intermolecular forces resulting from the interatomic potential. The potential is determined experimentally or results from quantum mechanics calculations. Nanostructures are material systems in which at least one dimension is in the range of nanometers.

Introduction

The rapid and intensive development of highly advanced technologies and materials in the last decades, and...

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Authors and Affiliations

  1. Cracow University of Technology, Cracow, Poland

    Gwidon Szefer & Dorota Jasinska

Authors
  1. Gwidon Szefer
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  2. Dorota Jasinska
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Corresponding author

Correspondence to Gwidon Szefer .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, Queensland, Australia

    Andreas Öchsner

Section Editor information

  1. Gdańsk University of Technology, Gdańsk, Poland

    Victor A. Eremeyev

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Szefer, G., Jasinska, D. (2018). Continuous-Molecular Approach to Modeling of Nanostructures. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_169-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_169-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

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