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Original Article

Stability analysis of an embedded single-walled carbon nanotube with small initial curvature based on nonlocal theory

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Pages 962-970 | Received 25 Feb 2016, Accepted 16 May 2016, Published online: 20 Dec 2016

References

  • H. Dai, Carbon nanotubes: Opportunities and challenges, Surf. Sci., vol. 500, pp. 218–259, 2002.
  • E.T. Thostenson, Z. Ren, and T.W. Chou, Advances in the science and technology of carbon nanotubes and their composites: A review, Compos. Sci. Technol., vol. 61, pp. 1899–2811, 2001.
  • A.C. Eringen, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J. Appl. Phys., vol. 54, pp. 4703–4710, 1983.
  • H. Baghdadi, A. Tounsi, M. Zidour, and A. Benzair, Thermal effect on vibration characteristics of armchair and zigzag single walled carbon nanotubes using nonlocal parabolic beam theory, Fullerenes Nanotubes Carbon Nanostruct., vol. 23, no. 3, pp. 266–272, 2014.
  • S.P. Xu, M.R. Xu, and C.M. Wang, Stability analysis of nonlocal elastic columns with initial imperfection, Math. Prob. Eng., art. 341232, 2013.
  • F.T. Fisher, R.D. Bradshaw, and L.C. Brinson, Fiber waviness in nanotube reinforced polymer composites—I: Modulus predictions using effective nanotube properties, Compos. Sci. Technol., vol. 63, pp. 1689–1703, 2003.
  • D.L. Shi, X.Q. Feng, Y.G.Y. Huang, K.C. Hwang, and H.J. Gao, The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube–reinforced composites, J. Eng. Mater. Technol., vol. 126, pp. 250–257, 2004.
  • E.T. Thostenson, C. Li, and T-W. Chou, Nanocomposites in context, Compos. Sci. Technol., vol. 65, no. 3–4, pp. 491–516, 2005.
  • S.I. Cha, K.T. Kim, K.H. Lee, C.B. Mo, and S.H. Hong, Strengthening and toughening of carbon nanotube reinforced alumina nanocomposite fabricated by molecular level mixing process, Scr. Mater., vol. 53, pp. 793–800, 2005.
  • L.H. Shao, R.Y. Luo, S.L. Bai, and J. Wang, Prediction of effective moduli of carbon nanotube–reinforced composites with waviness and debonding, Compos. Struct., vol. 87, pp. 274–355, 2009.
  • K. Yazdchi and M. Salehi, The effects of CNT waviness on interfacial stress transfer characteristics of CNT/polymer composites, Composites Part A, vol. 42, pp. 1301–1310, 2011.
  • H.-J. Chun, J.-Y. Shin, and I.M. Daniel, Effect of material geometric nonlinearities on the tensile and compressive behavior of composite materials with fiber waviness, Compos. Sci. Technol., vol. 61, pp. 125–159, 2001.
  • R.D. Bradshaw, F.T. Fisher, and L.C. Brinson, Fiber waviness in nanotube-reinforced polymer composites—II: Modeling via numerical approximation of the dilute strain concentration tensor, Compos. Sci. Technol., vol. 63, pp. 1705–1727, 2003.
  • C.H. Tsai, C. Zhang, D.A. Jack, R. Liang, and B. Wang, The effect of inclusion waviness and waviness distribution on elastic properties of fiber-reinforced composites, Composites Part B, vol. 42, pp. 62–70, 2011.
  • J. Nafar Dastgerdi, G. Marquis, and M. Salimi, The effect of nanotubes waviness on mechanical properties of CNT/SMP composites, Compos. Sci. Technol., vol. 86, pp. 164–169, 2013.
  • L. Wang and H. Hu, Flexural wave propagation in single walled carbon nanotubes, Phys. Rev. B, vol. 71, art. 195412, 2005.
  • Y.Q. Zhang, G.R. Liu, and X.Y. Xie, Free transverse vibrations of double walled carbon nanotubes using a theory of nonlocal elasticity, Phys. Rev. B, vol. 71, no. 19, art. 195404, 2005.
  • W.H. Duan, C.M. Wang, and Y.Y. Zhang, Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics, J. Appl. Phys., vol. 101, art. 024305, 2007.
  • L.J. Sudak, Column buckling of multi-walled carbon nanotubes using nonlocal elasticity, J. Appl. Phys., vol. 94, art. 7281, 2003.
  • Q. Wang, Wave propagation in carbon nanotubes via nonlocal continuum mechanics, J. Appl. Phys., vol. 98, art. 124301, 2005.
  • I. Belkorissat, M.S.A. Houari, A. Tounsi, E.A. Adda Bedia, and S.R. Mahmoud, On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model, Steel Compos. Struct., vol. 18, pp. 1063–1081, 2015.
  • G.J. Simitses and D.H. Hodges, Fundamentals of Structural Stability, Elsevier, Burlington, MA, 2006.
  • T. Murmu and S.C. Pradhan, Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM, Phys. E., vol. 41, pp. 1232–1239, 2009.
  • J.N. Reddy and S.D. Pang, Nonlocal continuum theories of beams for the analysis of carbon nanotubes, J. Appl. Phys., vol. 103, art. 023511, 2008.

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