Abstract
This chapter describes a finite element (FE) method that is appropriate for the numerical prediction of mechanical behavior of different types of isolated Single walled carbon nanotube (SWCNT). The aim of this research is to develop a FE model based on the modified Morse interatomic potential to evaluate axial Young’s modulus of nanotubes. The novelty of the model lies on the use of ANSYS’s beam element with non-linear capability, i.e., element type BEAM188 is used to evaluate SWCNT‘s mechanical properties. In the present modeling work, an individual carbon nanotube (CNT) is simulated as a frame-like structure and the primary bonds between two nearest-neighboring carbon atoms are treated as 3D beam elements. The beam element properties are determined via the concept of energy equivalence between molecular dynamics and structural mechanics using modified Morse potential. The calculated mechanical properties show good agreement with existing works.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Li, C., Chou, T.W.: Modeling of elastic buckling of carbon nanotubes by molecular structural mechanics approach. Mech. Mater. 36, 1047–1055 (2004)
Wang, H.: Dispersing carbon nanotubes using surfactants. Curr. Opin. Colloid Interface Sci. 14, 364–371 (2009)
Coleman, J., Khan, U., Blau, W., Gunko, Y.: Small but strong: A review of the mechanical properties of carbon nanotube–polymer composites. Carbon 44, 1624–1652 (2006)
Tserpes, K., Papanikos, P.: Finite element modeling of single-walled carbon nanotubes. Compos. Part B Eng. 36, 468–477 (2005)
Shokrieh, M.M., Rafiee, R.: On the tensile behavior of an embedded carbon nanotube in polymer matrix with non-bonded interphase region. Compos. Struct. 92, 647–652 (2010)
Selmi, A., Friebel, C., Doghri, I., Hassis, H.: Prediction of the elastic properties of single walled carbon nanotube reinforced polymers: a comparative study of several micromechanical models. Compos. Sci. Technol. 67, 2071–2084 (2007)
Thostensona, E.T., Renb, Z., Choua, T.-W.: Advances in the science and technology of carbon nanotubes and their composites a review. Compos. Sci. Technol. 61, 1899–1912 (2001)
Belytschko, T., Xiao, S.P., Schatz, G.C., Ruoff, R.S.: Atomistic simulations of nanotube fracture. Phys. Rev. B 65, 235430 (2002)
Rahmandoust, M., Öchsner, A.: Influence of structural imperfections and doping on the mechanical properties of single-walled carbon nanotubes. J. Nano Res. 6, 185–196 (2009)
Lau, K., Gu, C., Hui, D.: A critical review on nanotube, nanotube/nanoclay related polymer composite materials. Compos. Part B Eng. 37, 425–436 (2006)
Fan, C.W., Huang, J.H., Hwu, C., Liu, Y.Y.: Mechanical properties of single-walled carbon nanotubes—a finite element approach. Adv. Mater. Res. 33–37, 937–942 (2008)
Kalamkarov, A., Georgiades, A., Rokkam, S., Veedu, V., Ghaseminejhad, M.: Analytical and numerical techniques to predict carbon nanotubes properties. Int. J. Solids Struct. 43, 6832–6854 (2006)
Shokrieh, M.M., Rafiee, R.: Prediction of Young’s modulus of graphene sheets and carbon nanotubes using nanoscale continuum mechanics approach. Mater. Des. 31, 790–795 (2010)
Fan, C.W., Liu, Y.Y., Hwu, C.: Finite element simulation for estimating the mechanical properties of multi-walled carbon nanotubes. Appl. Phys. A 95, 819–831 (2009)
Rossi, M., Meo, M.: On the estimation of mechanical properties of single-walled carbon nanotubes by using a molecular-mechanics based FE approach. Compos. Sci. Technol. 69, 1394–1398 (2009)
Tserpes, K., Papanikos, P., Labeas, G., Pantelakis, S.: Multi-scale modeling of tensile behavior of carbon nanotube-reinforced composites. Theor. Appl. Fract. Mech. 49, 51–60 (2008)
Chou, T.W., Li, C.: A structural mechanics approach for the analysis of carbon Nanotubes. Int. J. Solids Struct. 40, 2487–2499 (2003)
Xiao, J., Gama, B., Gillespiejr, J.: An analytical molecular structural mechanics model for the mechanical properties of carbon nanotubes. Int. J. Solids Struct. 42, 3075–3092 (2005)
Georgantzinos, S.K., Giannopoulos, G.I., Anifantis, N.K.: Investigation of stress–strain behavior of single walled carbon nanotube/rubber composites by a multi-scale finite element method. Theor. Appl. Fract. Mech. 52, 158–164 (2009)
Jin, Y., Yuan, F.G.: Simulation of elastic properties of single-walled carbon nanotubes. Compos. Sci. Technol. 63, 1507–1515 (2003)
Acknowledgments
The authors would like to thank Universiti Teknologi PETRONAS for the financial support.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Mohammadpour, E., Awang, M. (2012). A Finite Element Model to Investigate the Stress–Strain Behavior of Single Walled Carbon Nanotube. In: Öchsner, A., da Silva, L., Altenbach, H. (eds) Materials with Complex Behaviour II. Advanced Structured Materials, vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22700-4_22
Download citation
DOI: https://doi.org/10.1007/978-3-642-22700-4_22
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22699-1
Online ISBN: 978-3-642-22700-4
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)