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Multiscale nonlinear constitutive modeling of carbon nanostructures based on interatomic potentials

Ghanbari, J ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.3970/cmc.2009.010.041
  3. Abstract:
  4. Continuum-based modeling of nanostructures is an efficient and suitable method to study the behavior of these structures when the deformation can be considered homogeneous. This paper is concerned about multiscale nonlinear tensorial constitutive modeling of carbon nanostructures based on the interatomic potentials. The proposed constitutive model is a tensorial equation relating the second Piola-Kirchhoff stress tensor to Green-Lagrange strain tensor. For carbon nanotubes, some modifications are made on the planar representative volume element (RVE) to account for the curved atomic structure resulting a non-planar RVE. Using the proposed constitutive model, the elastic behavior of the graphene sheet and carbon nanotube are studied. Copyright © 2009 Tech Science Press
  5. Keywords:
  6. Continuum-based modeling ; Multiscale modeling ; Atomic structure ; Carbon nanostructures ; Constitutive modeling ; Elastic behavior ; Graphene sheet ; Green-Lagrange strain tensors ; Interatomic potential ; Kirchhoff stress ; Multiscales ; Representative volume elements ; Carbon nanotubes ; Constitutive models ; Graphite ; Knowledge based systems ; Nanostructures ; Tensors ; Volume measurement ; Graphene
  7. Source: Computers, Materials and Continua ; Volume 10, Issue 1 , 2009 , Pages 41-64 ; 15462218 (ISSN)
  8. URL: http://www.techscience.com/cmc/2009/v10n1_index.html