Etude de la flexion statique, le flambement et la vibration des structures composites renforcées par des nanotubes de carbone

Abstract

The incorporation of carbon nanotubes in a polymer matrix allows obtaining nanocomposite materials with exceptional properties. It is in this scientific context that this work was based. In this work, we presented a bibliographic study of carbon nanotubes and nanocomposite materials while showing their importance. The Different theories beams are recalled. A theory is proposed for the analysis of bending, buckling and vibration of composite beams reinforced with carbon nanotubes .The considered beams are supposed to be put on an elastic foundation type Winkler - Pasternak. The formulation used takes into account the transverse shear effect and it uses only three variables not including the correction factor that is required in the shear deformation of first order theory proposed by Timoshenko. The single-walled carbon nanotubes (SWCNTs) are aligned and distributed in polymeric matrix with different patterns of reinforcement.The material properties of composite beams reinforced by carbon nanotubes (CNTRC) are assessed by employing the rule of mixture law. In addition, the effects of various parameters of the beam on static responses, buckling and dynamic are presented and discussed. To demonstrate the accuracy of the theory used, we compared the results with those obtained by other studies existing in the literature.