TY  - JOUR
AU  - Selmi, Abdellatif 
AU  - Hassis, Hedi 
AU  - Doghri, Issam 
AU  - Zenzri, Hatem 
PY  - 2014
TI  - A COSSERAT-TYPE PLATE THEORY AND ITS APPLICATION TO CARBON NANOTUBE MICROSTRUCTURE
JF  - American Journal of Applied Sciences
VL  - 11
IS  - 8
DO  - 10.3844/ajassp.2014.1255.1273
UR  - https://thescipub.com/abstract/ajassp.2014.1255.1273
AB  - 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.