Research Article Open Access

A COSSERAT-TYPE PLATE THEORY AND ITS APPLICATION TO CARBON NANOTUBE MICROSTRUCTURE

Abdellatif Selmi1, Hedi Hassis1, Issam Doghri2 and Hatem Zenzri1
  • 1 Civil Engineering Laboratory, Ecole Nationale d’Ingénieurs de Tunis, B.P.37, Le belvédère 1002, Tunis, Tunisia
  • 2 CESAME, UCL, Louvain-la-Neuve, Belgium

Abstract

The predictive capabilities of plate and shell theories greatly depend on their underlying kinematic assumptions. In this study, we develop a Cosserat-type elastic plate theory which accounts for rotations around the normal to the mid-surface plane (so-called drilling rotations). Internal loads, equilibrium equations, boundary conditions and constitutive equations are derived. The case of a Single Walled carbon Nanotube (SWNT) modelled as a Cosserat medium is taken here as a reference example. Material parameters are identified and the proposed theory is used to solve analytically the problem of a polymer-SWNT composite tube under torsion. Predictions such as an absolute size effect are compared to those of the classical Cauchy-de Saint-Venant results.

American Journal of Applied Sciences
Volume 11 No. 8, 2014, 1255-1273

DOI: https://doi.org/10.3844/ajassp.2014.1255.1273

Submitted On: 31 October 2013 Published On: 12 May 2014

How to Cite: Selmi, A., Hassis, H., Doghri, I. & Zenzri, H. (2014). A COSSERAT-TYPE PLATE THEORY AND ITS APPLICATION TO CARBON NANOTUBE MICROSTRUCTURE. American Journal of Applied Sciences, 11(8), 1255-1273. https://doi.org/10.3844/ajassp.2014.1255.1273

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Keywords

  • Plate Theory
  • Drilling Rotation
  • Cosserat Medium
  • Carbon Nanotube
  • Composite Microstructure