Open Access

ARTICLE

Multiscale Nonlinear Constitutive Modeling of Carbon Nanostructures Based on Interatomic Potentials

J. Ghanbari¹, R. Naghdabadi^1,2

1 Department of Mechanical Engineering, Sharif University of Technology, P.O. Box: 11365-3567,Tehran, Iran
2 Institute for Nano Science and Technology, Sharif University of Technology, Tehran, Iran

Computers, Materials & Continua 2009, 10(1), 41-64. https://doi.org/10.3970/cmc.2009.010.041

Abstract

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.

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Keywords

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