Estimating the Elastic Properties of the Carbon Nanotube-Reinforced Composite Matrix

Dependence of the Elastic Properties of a Single-Walled Carbon Nanotube on its Chirality

“…To establish the relationship between the elastic properties of graphene and the elastic characteristics of SWCNT, the following types of loading were applied to the shell and the rod: tension along the longitudinal axis; torque; pressure uniformly distributed along the lateral surface; tangential stresses to the bases [16].…”

“…After equating the stress-strain states in the rod and in the shell, the relations connecting the elements of the matrix Sij, i, j=1, 2, 3 corresponding to components 𝑆 𝑖𝑗𝑘𝑙 , k, l = 1, 2, 3 of the compliance coefficient tensor of SWCNT with graphene elastic modulus were obtained [16]:…”

“…These objects are capable of aggregating into nanoclusters; however, uniformly-dispersed reinforcement can be achieved as well. It is common knowledge that nanoscale graphene objects, even taken in a small proportion, can improve significantly the thermoelastic characteristics of a composite reinforced therewith [10][11][12][13]. Development of a composite-based structure designed to operate under extreme mechanical and thermal loads would require correct estimates to be made for the material elastic/thermal properties that are governed mainly by the corresponding characteristics of the reinforcing elements, that in their turn depend on their geometry.…”