تعداد نشریات | 418 |
تعداد شمارهها | 9,997 |
تعداد مقالات | 83,560 |
تعداد مشاهده مقاله | 77,801,195 |
تعداد دریافت فایل اصل مقاله | 54,843,851 |
Molecular Dynamics Investigation of The Elastic Constants and Moduli of Single Walled Carbon Nanotubes | ||
Journal of Nanoanalysis | ||
مقاله 8، دوره 4، شماره 1، خرداد 2017، صفحه 65-75 اصل مقاله (875.59 K) | ||
نوع مقاله: Original Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/jna.2017.01.008 | ||
نویسندگان | ||
Mohammad Mahdi Zaeri؛ Saeed Ziaei-Rad | ||
Department of Chemistry, Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran | ||
چکیده | ||
Determination of the mechanical properties of carbon nanotubes is an essential step in their applications from macroscopic composites to nano-electro-mechanical systems. In this paper we report the results of a series of molecular dynamics simulations carried out to predict the elastic constants, i.e. the elements of the stiffness tensor, and the elastic moduli, namely the Young’s and shear moduli, of various single walled carbon nanotubes. Poisson’s ratios were also calculated. Three different methods were used to run the simulations: applying a predetermined strain and reading the resulted stress, applying forces and constraints to the end atoms and calculating the moduli by assuming an equivalent continuum tube, and lastly applying a predetermined stress and reading the consequent deformation. In each case, the effect of nanotube chirality and diameter was studied. In addition, loading conditions were altered in each method to study the effect of nonlinearity of interatomic interactions. The result of the three methods are compared, with each other as well as with the literature, and discussed to obtain reasonable concluding remarks. | ||
کلیدواژهها | ||
elastic constants؛ elastic moduli؛ Molecular dynamics simulation؛ single walled carbon nanotub | ||
مراجع | ||
1. D. Qian, G.J. Wagner, W.K. Liu, M.F. Yu and R.S. Ruoff, Appl. Mech. Rev., 55(6), 495 (2002). 2. E.T. Thostenson, Z. Ren and T.W. Chou, Compos. Sci. Technol., 61(13), 1899 (2001). 3. M.F. Yu, J. Eng. Mater. T. ASME, 126(3), 271 (2004). 4 .D. Srivastava, C. Wei and K. Cho, Appl. Mech. Rev., 56(2), 215 (2003). 5. A. Kis and A. Zettl, Philos. T. Roy. Soc. A, 366(1870), 1591 (2008). 6. L.C. Zhang, J. Mater. Process. Tech., 209(9), 4223 (2009). 7. E.T. Thostenson, C. Li and T.W. Chou, Compos. Sci. Technol., 65(3), 491 (2005). 8. R.S. Ruoff, D. Qian and W.K. Liu, C. R. Phys., 4(9), 993 (2003). 9. A. Maiti, Microelectron. J., 39(2), 208 (2008). 10. F. Li, H.M. Cheng, S. Bai, G. Su and M.S. Dresselhaus, Appl. Phys. Lett., 77(20), 3161 (2000). 11. A. Sears and R.C. Batra, Phys. Rev. B, 69(23), 235406 (2004). 12. J.P. Lu, Phys. Rev. Lett., 79(7), 1297 (1997). 13. H.C. Cheng, Y.L. Liu, Y.C. Hsu and W.H. Chen, Int. J. Solids Struct., 46(7), 1695 (2009). 14. S.C. Chowdhury, B.Z.G. Haque, J.W. Gillespie and D.R. Hartman, Comp. Mater. Sci., 65, 133 (2012). 15. M. Rossi and M. Meo, Compos. Sci. Technol., 69(9), 1394 (2009). 16. J. Geng and T. Chang, Phys. Rev. B, 74(24), 245428 (2006). 17. C.L. Zhang and H.S. Shen, Appl. Phys. Lett., 89(8), 081904 (2006). 18. A.R. Hall, L. An, J. Liu, L. Vicci, M.R. Falvo, R. Superfine and S. Washburn, Phys. Rev. Lett., 96(25), 256102 (2006). 19. A.R. Khoei, E. Ban, P. Banihashemi and M.A. Qomi, Mater. Sci. Eng. C, 31(2), 452 (2011). 20. Y.Y. Zhang, C.M. Wang and Y. Xiang, Carbon, 48(14), 4100 (2010). 21. M.M. Zaeri, S. Ziaei-Rad, A. Vahedi and F. Karimzadeh, Carbon, 48(13), 3916 (2010). 22. C.H. Wong, Comp. Mater. Sci., 49(1), 143 (2010). 23. B. WenXing, Z. ChangChun and C. WanZhao, Physica B, 352(1), 156 (2004). 24. H. Xin, Q. Han and X.H. Yao, Carbon, 45(13), 2486 (2007). 25. J.Y. Hsieh, J.M. Lu, M.Y. Huang and C.C. Hwang, Nanotechnology, 17(15), 3920 (2006). 26. C. Li and T.W. Chou, Int. J. Solids Struct., 40(10), 2487 (2003). 27. C. Li and T.W. Chou, Compos. Sci. Technol., 63(11), 1517 (2003). 28. A.L. Kalamkarov, A.V. Georgiades, S.K. Rokkam, V.P. Veedu and M.N. Ghasemi-Nejhad, Int. J. Solids Struct., 43(22), 6832 (2006). 29. P. Zhang, Y. Huang, P.H. Geubelle, P.A. Klein and K.C. Hwang, Int. J. Solids Struct., 39(13), 3893 (2002). 30. P.M. Agrawal, B.S. Sudalayandi, L.M. Raff and R. Komanduri, Comp. Mater. Sci., 38(2), 271 (2006). 31. Q. Lu and B. Bhattacharya, Nanotechnology, 16(4), 555 (2005). 32. A. Fereidoon, M.G. Ahangari, M.D. Ganji and M. Jahanshahi, Comp. Mater. Sci., 53(1), 377 (2012). 33. X. Chen and G. Cao, Nanotechnology, 17(4), 1004 (2006). 34. T. Chang and H. Gao, J. Mech. Phys. Solids, 51(6), 1059 (2003). 35. Z. Yao, C.C. Zhu, M. Cheng and J. Liu, Comp. Mater. Sci., 22(3), 180 (2001). 36. Y.I. Prylutskyy, S.S. Durov, O.V. Ogloblya, E.V. Buzaneva and P. Scharff, Comp. Mater. Sci., 17(2), 352 (2000). 37. Y. Jin and F.G. Yuan, Compos. Sci. Technol., 63(11), 1507 (2003). 38. K.M. Liew, X.Q. He and C.H. Wong, Acta Mater., 52(9), 2521 (2004). 39. Y. Wang, X.X. Wang, X.G. Ni and H.A. Wu, Comp. Mater. Sci., 32(2), 141 (2005). 40. Z. Wang, M. Devel and B. Dulmet, Surf. Sci., 604(5), 496 (2010). 41. K. Mylvaganam and L.C. Zhang, Carbon, 42(10), 2025 (2004). 42. B. Motevalli, A. Montazeri, R. Tavakoli-Darestani and H. Rafii-Tabar, Physica E, 46, 139 (2012). 43. X. Hao, H. Qiang and Y. Xiaohu, Compos. Sci. Technol., 68(7), 1809 (2008). 44. W.H. Duan, Q. Wang, K.M. Liew and X.Q. He, Carbon, 45(9), 1769 (2007). 45. E.B. Tadmor and R.E. Miller, “Modeling materials: continuum, atomistic and multiscale techniques”, Cambridge University Press, 259 (2011). 46. S. Plimpton, J. Comput. Phys., 117(1), 1 (1995). 47. F. Memarian, A. Fereidoon, S. Khodaei, A.H. Mashhadzadeh and M.D. Ganji, Vacuum, 139, 93 (2017). 48. A. Fereidoon, M. Mostafaei, M.D. Ganji and F. Memarian, Superlattice. Microst., 86, 126 (2015). 49. M.M. Zaeri and S. Ziaei-Rad, AIP Adv., 5(11), 117114 (2015). 50. W.D. Cornell, P. Cieplak, C.I. Bayly, I.R. Gould, K.M. Merz, D.M. Ferguson, D.C. Spellmeyer, T. Fox, J.W. Caldwell and P.A. Kollman, J. Am. Chem. Soc., 117(19), 5179 (1995). 51. W.L. Jorgensen and D.L. Severance, J. Am. Chem. Soc., 112(12), 4768 (1990). 52. M.H. Sadd, “Elasticity: theory, applications and numerics”, 2nd ed., Academic Press, 298 (2009). | ||
آمار تعداد مشاهده مقاله: 4,042 تعداد دریافت فایل اصل مقاله: 1,670 |