@article {10.3844/ajassp.2014.1255.1273, article_type = {journal}, title = {A COSSERAT-TYPE PLATE THEORY AND ITS APPLICATION TO CARBON NANOTUBE MICROSTRUCTURE}, author = {Selmi, Abdellatif and Hassis, Hedi and Doghri, Issam and Zenzri, Hatem}, volume = {11}, year = {2014}, month = {May}, pages = {1255-1273}, doi = {10.3844/ajassp.2014.1255.1273}, url = {https://thescipub.com/abstract/ajassp.2014.1255.1273}, 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.}, journal = {American Journal of Applied Sciences}, publisher = {Science Publications} }