Department of Mechanical and Industrial Engineering, Concordia University,
Due to the significant use of nanomaterials with tube configurations such as carbon nanotube (CNT) in composite structures, the analytical solutions are required to be developed. Significant amount of experimental work on the use of CNTs in composites are being conducted while analytical and numerical analyses are required to be performed to obtain the properties and behaviors of nanocomposites. The vast majority of structural theories are derived using the constitutive assumptions that the stress at a point depends only on the strain at that point. Many investigations were made on the development of analytical solutions to analyze the composite structures while it remains to be observed whether these solutions can be applied to make analyses for Nanostructures. Continuum based analyses have been generally utilized for the formulation of different nanostructures. Two main reasons are mentioned. One is experimental investigations in nanoscale that are difficult. The other is molecular dynamic simulations are highly computationally expensive for nanostructures. Therefore, there is a need of developing an analytical method that analyzes the deformation of nanotube structures.