A molecular based anisotropic shell model for single-walled carbon nanotubes

One-dimensional nonlocal elasticity for tensile single-walled carbon nanotubes: A molecular structural mechanics characterization

“…Chirality-induced anisotropy in chiral SWCNTs has been discussed in many works [43][44][45]. However, only few studies aimed at modeling chiral nanotubes as anisotropic shells [10,46,47] instead of using the more common isotropic models [7,[48][49][50][51][52][53]. Unfortunately, none of these works has included a comparison of the strain field obtained with atomistic simulations and shell models.…”

“…In modeling SWCNTs with a continuum mechanics model, the discrete atomic lattice of the nanotube is replaced by a continuous and homogeneous solid. In general, either isotropic and anisotropic shells [7,10] or one-dimensional theories such as Euler-Bernoulli and Timoshenko beam models [11,12] as well as rod models [13] are employed.…”

Free vibration of anisotropic single-walled carbon nanotube based on couple stress theory for different chirality

“…On the other hand, it is also seen that the increase in natural frequency ratio is dependent on SWCNTs chirality, as such, the zigzag chirality leads to increase in natural frequency ratio more than armchair ones, because of the higher shear modulus of zigzag than armchair SWCNTs, according to Chang. 67 Besides, the influence of small-scale parameter on natural frequency ratio is intensified by decreasing radius of SWCNTs. Figure 2(a) contains (4,4), (5,5), and (8,8) SWCNTs with the radii of 0.271, 0.339, and 0.542 nm, and their counterpart in zigzag chirality, namely (7,0), (8,0), and (14,0), are considered in Figure 2(b).…”

Energy consistent modified molecular structural mechanics model for the determination of the elastic properties of single wall carbon nanotubes

“…In the present paper we distinguish the classical mechanics approaches further into (i) methods developing an equivalent continuum structure of the CNTs and then applying continuum mechanics, see e.g. [9], [10], [11], [12] and [13], and (ii) methods using discrete continuum elements like beams or springs to represent the covalent bonds in the CNTs. The approach developed in the present paper belongs to this group of methods.…”