Due to numerous difficulties associated with the experimental investigation of the single-walled carbon nanotubes (SWNTs), computational modelling is considered to be a powerful alternative in order to determine their mechanical properties. In this study, a novel three-dimensional finite element model incorporating a beam element with circular cross section is developed based on equivalent-continuum mechanics approach. The beam elements are used as the replacement of C–C chemical bonds in modelling SWNTs. Finite element models are generated for a range of SWNTs and employed for the evaluation of effects of diameter and chirality on the mechanical properties including Young’s modulus, shear modulus, shear strain and Poisson’s ratio of SWNTs. The results of this study are in good agreement with those reported in literature.
HussainFHojjatiMOkamotoM. Polymer-matrix nanocomposites, processing, manufacturing, and application: An overview. J Compos Mater2006; 40: 1511–1575.
2.
MaP-CKimJ-K. Carbon nanotubes for polymer reinforcement, Boca Raton: CRC Press, 2011, pp. 225–225.
3.
LuXHuZ. Mechanical property evaluation of single-walled carbon nanotubes by finite element modeling. Compos Part B: Eng2012; 43: 1902–1913.
4.
LiCChouT-W. A structural mechanics approach for the analysis of carbon nanotubes. Int J Solids Struct2003; 40: 2487–2499.
5.
XiaoJRGamaBAGillespieJWJr. An analytical molecular structural mechanics model for the mechanical properties of carbon nanotubes. Int J Solids Struct2005; 42: 3075–3092.
6.
YakobsonBIBrabecCJBernholcJ. Nanomechanics of carbon tubes: Instabilities beyond linear response. Phys Rev Lett1996; 76: 2511–2514.
7.
NatsukiTEndoM. Stress simulation of carbon nanotubes in tension and compression. Carbon2004; 42: 2147–2151.
8.
PantanoAMParksDBoyceMC. Mechanics of deformation of single- and multi-wall carbon nanotubes. J Mech Phys Solids2004; 52: 789–821.
MeoMRossiM. Prediction of Young’s modulus of single wall carbon nanotubes by molecular-mechanics based finite element modelling. Compos Sci Technol2006; 66: 1597–1605.
11.
TserpesKIPapanikosP. Finite element modeling of single-walled carbon nanotubes. Compos Part B: Eng2005; 36: 468–477.
12.
JalalahmadiBNaghdabadiR. Finite element modeling of single-walled carbon nanotubes with introducing a new wall thickness. J Phys Conf Ser2007; 61: 497–502.
13.
ScarpaFAdhikariS. A mechanical equivalence for Poisson’s ratio and thickness of C–C bonds in single wall carbon nanotubes. J Phys Appl Phys2008; 41: 085306 (5pp)–085306 (5pp).
14.
TimoshenkoS. Theory of elasticity, 2d ed. New York: McGraw Hill, 1951, pp. 506–506.
15.
TingTCTChenT. Poisson’s ratio for anisotropic elastic materials can have no bounds. Q J Mech Appl Math2005; 58: 73–82.
16.
RafieeRMaleki MoghadamR. Simulation of impact and post-impact behavior of carbon nanotube reinforced polymer using multi-scale finite element modeling. Comput Mater Sci2012; 63: 261–268.
17.
RafieeRFereidoonAHeidarhaeiM. Influence of non-bonded interphase on crack driving force in carbon nanotube reinforced polymer. Comput Mater Sci2012; 56: 25–28.
18.
RafieeRMoghadamRM. On the modeling of carbon nanotubes: A critical review. Compos Part B: Eng2014; 56: 435–449.
19.
HernandezEGozeCBernierP. Elastic properties of C and BxCyNz composite nanotubes. Phys Rev Lett1998; 80: 4502–4505.
20.
JinYYuanFG. Simulation of elastic properties of single-walled carbon nanotubes. Compos Sci Technol2003; 63: 1507–1515.
21.
LiCChouT-W. Elastic moduli of multi-walled carbon nanotubes and the effect of van der Waals forces. Compos Sci Technol2003; 63: 1517–1524.
ÁvilaAFLacerdaGSR. Molecular mechanics applied to single-walled carbon nanotubes. Mater Res2008; 11: 325–333.
28.
GaoX-LLiK. Finite deformation continuum model for single-walled carbon nanotubes. Int J Solids Struct2003; 40: 7329–7337.
29.
XinZJianjunZZhong-canO-Y. Strain energy and Young’s modulus of single-wall carbon nanotubes calculated from electronic energy-band theory. Phys Rev B2000; 62: 13692–13696.
30.
TuZOu-YangZ. Single-walled and multi-walled carbon nanotubes viewed as elastic tubes with Young’s moduli dependent on layer number. Phys Rev B2002; 65: 233407 (4pp)–233407 (4pp).
31.
KudinKNScuseriaGEYakobsonBI. C2F, BN, and C nanoshell elasticity from ab initio computations. Phys Rev B2001; 64: 235406 (10pp)–235406 (10pp).
32.
LuJP. Elastic properties of carbon nanotubes and nanoropes. Phys Rev Lett1997; 79: 1297–1300.
33.
GozeCVaccariniLHenrardL. Elastic and mechanical properties of carbon nanotubes. Synth Met1999; 103: 2500–2501.
