A Cosserat-type plate theory and its application to carbon nanotube microstructure
(2014) American Journal of Applied Sciences — Vol. 11, n° 8, p. 1255-1273 (2014)
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- 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. © 2014 Science Publication.
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Selmi, A., Hassis, H., Zenzri, H., & Doghri, I. (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 (Original work published 2014)