본문 바로가기
KERD
논문KCI 등재

BUCKLING BEHAVIOUR OF SINGLE WALLED SHORT CARBON NANOTUBES

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In the present paper the study the buckling behavior of short carbon nanotube is studied. Euler Bernoulli beam model is used for the formulation of the problem. An efficient mathematical Galerkin method with quintic splines is applied to determine the results. The impact of the size of nanotube and the effect of small scale parameter on buckling load is seen and the outputs are plotted graphically. The obtained solutions agree with those results reported in literature and determine the importance of small scale parameter in the buckling analysis of nanostructures.

Abstract

In the present paper the study the buckling behavior of short carbon nanotube is studied. Euler Bernoulli beam model is used for the formulation of the problem. An efficient mathematical Galerkin method with quintic splines is applied to determine the results. The impact of the size of nanotube and the effect of small scale parameter on buckling load is seen and the outputs are plotted graphically. The obtained solutions agree with those results reported in literature and determine the importance of small scale parameter in the buckling analysis of nanostructures.

참고문헌 (40)

  1. A. A. Ghorbanpour, "Exact solutions for nonlocal axial buckling of linear carbon nanotube hetero-junctions", Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering science, 228(2), pp.366~377 (2014)[DOI]
  2. A. C. Eringen, "Nonlocal Continuum Field Theories" (2002), Springer
  3. A. Chemi, "Critical buckling load of chiral double-walled carbon nanotube using nonlocal theory of elasticity", Advances in Nano Research, 3(4), pp.193~206 (2015)[DOI]
  4. B. Amirian, "Thermal vibration analysis of carbon nanotubes embedded in two-parameter elastic foundation based on nonlocal Timoshenko's beam theory", Archives of Mechanics, 64(6), pp.581~ (2012)
  5. Jozef Bocko, "Buckling of single-walled carbon nanotubes with and without defects", Journal of Mechanical Science and Technology, 31(4), pp.1825~1833 (2017), 대한기계학회
  6. B. Safaei, "Development of an accurate molecular mechanics model for buckling behavior of multi-walled carbon nanotubes under axial compression", Journal of Molecular Graphics and Modelling, 65, pp.43~60 (2016)[DOI]
  7. G. I. Giannopoulos, "Evaluation of the effective mechanical properties of single walled carbon nanotubes using a spring based finite element approach", Computational Material Science, 41(4), pp.561~569 (2008)[DOI]
  8. H.M. Berrabah, "Comparison of various refined nonlocal beam theories for bending, vibration and buckling analysis of nanobeams", Structural Engineering and Mechanics, An Int'l Journal, 48(3), pp.351~365 (2013), 국제구조공학회
  9. H. M. Berrabah, "Buckling analysis of single-walled carbon nanotubes embedded in an elastic medium under axial compression using nonlocal Timoshenko beam theory", Journal of Advanced Research in Applied Mechanics, 17(1), pp.1~13 (2016)
  10. H. W. Kroto, "C60: Buckminster fullerene", Nature, 318, pp.162~163 (1985)[DOI]
  11. I. ElishakofI, "Carbon Nanotubes and Nanosensors: Vibration, Buckling and Ballistic Impact" (2012), Wiley
  12. J. N. Reddy, "Energy Principles and Variational methods in Applied Mechanics" (2002), Wiley
  13. J. N. Reddy, "Nonlocal continuum theories of beams for the analysis of carbon nanotubes", Journal of Applied Physics, 103, pp.023511~ (2008)[DOI]
  14. K. N. S. K. Viswanadham, "Numerical solutions of fourth order boundary value problems by Galerkin method with quintic B-splines", International Journal of Nonlinear Science, 10, pp.222~230 (2010)
  15. K. Rakrak, "Free vibration analysis of chiral double-walled carbon nanotube using non-local elasticity theory", Advances in Nano Research, 4(1), pp.13~ (2016)
  16. L. Boumia, "Timoshenko beam model for vibration analysis of chiral single walled carbon nanotubes", Physica E, 59, pp.186~191 (2014)[DOI]
  17. L. lo, "Buckling of elastic beams by the Haar wavelet method", Estonian Journal of Engineering, 17(3), pp.271~284 (2011)[DOI]
  18. M. Arroyo, "Continuum mechanics modeling and simulation of carbon na-notubes", Meccanica, 40(4-6), pp.455~469 (2005)[DOI]
  19. M. Kirs, "Haar wavelet method for vibration analysis of nanobeams", Waves Wavelets Fractals Adv. Anal., 2, pp.20~28 (2016)
  20. M. Michele, "Prediction of Young's modulus of single walled carbon nanotubes by molecular mechanics", Composites Science and Technology, 66, pp.1597~1605 (2006)[DOI]
  21. M. Zidour, "Buckling analysis of chiral single-walled carbon nanotubes by using the nonlocal Timoshenko beam theory", Mechanics of Composite Materials, 50(1) (2014)
  22. O. Rahmani, "Assessment of various nonlocal higher order theories for the bending and buckling behavior of functionally graded nanobeams", Steel and Composite Structures, An International Journal, 23(3), pp.339~350 (2017), 국제구조공학회[DOI]
  23. P. Nagar, "Recursive differentiation method to study the nature of carbon nanobeams: A Numerical Approach", AIP Conference Proceedings, 1897, pp.020009~ (2017)
  24. P. Tiwari, "A Survey on Buckling Analysis of Nanostructures via Nonlocal Elasticity Theory", Journal of Information and Optimization Sciences, 39(1), pp.213~221 (2017)
  25. R. Ansari, "Analytical Treatment of the free vibration of single walled carbon nanotubes based on nonlocal flugge shell theory", ASME Journal of Engineering Materials and Technology, 134, pp.011008~ (2012)[DOI]
  26. R. Ansari, "Rayleigh-Ritz axial buckling analysis of single-walled carbon nanotubes with different boundary conditions", Physics Letters A, 375(9), pp.1255~1263 (2011)[DOI]
  27. R. C. Mittal, "Quintic B-spline collocation method for numerical solution of the Kuramoto-Sivashinsky equation", Communications in Nonlinear Science and Numerical Simulation, 15(10), pp.2798~2808 (2010)[DOI]
  28. R. Hosseini-Ara, "Buckling analysis of short carbon nanotubes based on a novel Timoshenko beam model", Journal of Theoretical and Applied mechanics, 50(4), pp.975~986 (2012)
  29. S. Boris, "Numerical method for stability analysis of functionally graded beams on elastic foundation", Applied Mathematical Modelling, 40(5), pp.3713~3719 (2016)[DOI]
  30. S. C. Pradhan, "Buckling analysis of single walled carbon nanotube on winkler foundation using nonlocal elasticity theory and DTM", Computational Material Science, 50, pp.1052~1056 (2011)[DOI]
  31. S. Iijima, "Helical micro tubules of graphitic carbon", Nature, 354, pp.56~58 (1991)[DOI]
  32. S. Rajasekaran, "Bending, buckling and vibration of small-scale tapered beams", International Journal of Engineering Science, 120, pp.172~188 (2017)[DOI]
  33. Sh. Shams, "Buckling of laminated carbon nanotube-reinforced composite plates on elastic foundations using a meshfree method", Arabian Journal for Science and Engineering, 4(5), pp.1981~1993 (2016)
  34. T. Murmu, "Buckling analysis of a single-walled carbon nanotube embed-ded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM", Physica E, 41, pp.1232~1239 (2009)[DOI]
  35. T. Murmu, "Thermal effects on the stability of embedded carbon nanotubes", Physica E., 43, pp.414~422 (2010)
  36. T. Natsuki, "Wave propagation of carbon nanotubes embedded in an elastic medium", Journal of Applied Physics, 97, pp.044307~ (2005)[DOI]
  37. V. Senthilkumar, "Buckling analysis of a single-walled carbon nanotube with nonlocal continuum elasticity by using Differential Transform Method", Advanced Science Letters, 3, pp.337~340 (2010)[DOI]
  38. W. Zhiqiao, "Self-instability and bending behavior of nanoplates", Acta Mechanica Solida Sinica, 22(6) (2009)
  39. X. Xie, "Free vibrahon analysis of functionally graded conical shells and annular plates using the haar wavelet method", Applied Acoustics, 85, pp.130~142 (2014)[DOI]
  40. Z. Xining, "Graphene and carbonnanotube (CNT) in-MEMS", NEMS appl'ications, 2015, pp.132, 192~206

관련 논문AI추천

이 간행물의 다른 논문 (18건)