Shear modulus and Poisson's ratio of single‐walled carbon nanotubes: Numerical evaluation

Abstract

The mechanical behaviour of non-chiral and chiral singlewalled carbon nanotubes under torsional loading is studied. For this purpose, three-dimensional finite element modelling is used in order to evaluate the torsional rigidity and shear modulus. It is shown that the evolution of torsional rigidity as a function of nanotube diameter can be described by a unique function for non-chiral and chiral single-walled nanotubes. A comprehensive study to evaluate the Poisson's ratio of singlewalled carbon nanotubes is also carried out. Two robust methodologies, one for evaluating the shear modulus from results of tensile, bending and torsion tests, and the other to assess Poisson's ratio from results of bending and torsion tests, are recommended.

The best features of diamond nanothread for nanofibre applications

“…Despite that, by approximating the DNT as a solid shaft and the CNT as a circular hollow shaft (with a thickness of 3.4 Å), we find that the DNT has a comparable shear modulus as that of the (10,10) CNT. Specifically, the shear modulus for (10,10) CNT is about 423 GPa, which aligns well with the previous reported values (in the range of 300–547 GPa) 19 . In comparison, a shear modulus about 114 GPa is derived for the DNT.…”

“…Specifically, the shear modulus for (10,10) CNT is about 423 GPa, which aligns well with the previous reported values (in the range of 300 to 547 GPa). 19 In comparison, a shear modulus about 114 GPa is derived for the DNT.…”

On the Determination of Elastic Properties of Single-Walled Boron Nitride Nanotubes by Numerical Simulation

“…As in the case of SWCNTs [50,51], the Young's, E, and shear, G, moduli, and the Poisson's ratio, ν, of SWBNNTs can be assessed with recourse to the results of tensile, EA, bending, EI, and torsional, GJ, rigidities. The SWBNNTs with the mean diameter D and the nanotube wall thickness, t n , have the cross-sectional area, A, the moment of inertia, I, and the polar moment of inertia, J, of the equivalent hollow cylinder expressed respectively by:…”

“…In the current study, the value of the SWBNNTs wall thickness was considered equal to the graphite interlayer spacing, t n = 0.34 nm, as observed experimentally by transmission electron microscopy (t n = 0.338 ± 0.004 nm [52]) and calculated by the theoretical approaches [43][44][45][46][47][48][49][50][51][52][53][54][55]. However, there is no agreement on the value of t n and although the values above mentioned are commonly used, Tapia et al [41] and Boldrin et al [56] reported t n = 0.106 nm, and Vijayaraghavan and Zhang [22] calculated t n = 0.105 nm.…”

Carbon nanotube materials for electrocardiography

“…63 GPa). 74,75 The shear modulus for SWCNT and MWCNT is 870.7 GPa 76 and 500 GPa, 77 respectively. Those values are higher than for diamond (478 GPa) and much higher than for steel (79.3 GPa).…”