8.16 - Mechanics of Nanotubes

Comprehensive Structural Integrity: Nine Volume Set

Volumn 1-9, Issue , 2003, Pages 551-579

  Huang, Y ^a   Wang, Z L ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85146739201     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B0-08-043749-4/08050-2     Document Type: Chapter

References (73)

1. M. Arroyo and T. Belytschko (2002) An atomistic-based finite deformation membrane for single layer crystalline films. J. Mech. Phys. Solids 50 1941-1977.
2. D.W. Brenner (1990) Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films. Phys. Rev. B 42 9458-9471.
3. P.G. Collins, M.S. Arnold and P. Avouris Ph. (2001) Engineering carbon nanotubes and nanotube circuits using electrical breakdown. Science 292 706-709.
4. Cornwell and C.F. Wille (1997) Elastic properties of single-walled carbon nanotubes in compression. Solid State Commun 101 555-558.
5. T.W. Ebbesen and P.M. Ajayan (1992) Large-scale synthesis of carbon nanotubes. Nature 358 220-222.
6. S.S. Fan, M.G. Chapline, N.R. Franklin, T.W. Tombler, A.M. Cassell and H.J. Dai (1999) Self-oriented regular arrays of carbon nanotubes and their field emission properties. Science 283 512-514.
7. S.M. Foiles (1994) Evaluation of harmonic methods for calculating the free-energy of defects in solids. Phys. Rev. B 49 14930-14938.
8. G. Friesecke and R.D. James (2000) A scheme for the passage from atomic to continuum theory for thin films, nanotubes and nanorods. J. Mech. Phys. Solids 48 1519-1540.
9. H. Gao, Y. Huang and F.F. Abraham (2001) Continuum and atomistic studies of intersonic crack propagation. J. Mech. Phys. Solids 49 2113-2132.
10. R.P. Gao, Z.L. Wang, Z.G. Bai, W.A. de Heer, L.M. Dai and M. Gao (2000) Nanomechanics of individual carbon nanotubes from pyrolytically grown arrays. Phys. Rev. Lett. 85 622-625.
11. J.M. Gere and S.P. Timoshenko (1990) Mechanics of Materials Boston: PWS-KENT
12. C. Goze, P. Bernier, L. Henrard, L. Vaccarini, E. Hernandez and A. Rubio (1999) Elastic and a mechanical properties of carbon nanotubes. Synth. Metals 103 2500-2501.
13. D. E. Gray (ed.), 1957, “American Institute of Physics Handbook,” McGraw-Hill, New York.
14. T. Halicioglu (1998) Stress calculations for carbon nanotubes. Thin Solid Films 312 11-14.
15. E. Hernandez, C. Goze, P. Bernier and A. Rubio (1998) Elastic properties of {C} and {BxCyNz} composite nanotubes. Phys. Rev. Lett. 80 4502-4505.
16. E. Hernandez, C. Goze, P. Bernier and A. Rubio (1999) Elastic properties of single-wall nanotubes. Appl. Phys. A 68 287-292.
17. S.M. Huang, L.M. Dai and A.W.H. Mau (1999) Patterned growth and contact transfer of well-aligned carbon nanotube films. J. Phys. Chem. B 103 4223-4227.
18. S. Iijima (1991) Helical microtubules of graphite carbon. Nature 354 56-58.
19. J. Kong, H.T. Soh, A.M. Cassell, C.F. Quate and H.J. Dai (1998) Synthesis of individual single-walled carbon nanotubes on patterned silicon wafers. Nature 395 878-881.
20. A. Krishnan, E. Dujardin, T.W. Ebbesen, P.N. Yianilos and M.M.J. Treacy (1998) Young's modulus of single-walled nanotubes. Phys. Rev. B 58 14013-14019.
21. R. LeSar, R. Najafabadi and D.J. Srolovitz (1989) Finite-temperature defect properties from free-energy minimization. Phys. Rev. Lett. 63 624-627.
22. W.Z. Li, S.S. Xie, L.X. Qian, B.H. Chang, B.S. Zou, W.Y. Zhou, R.A. Zhao and G. Wang (1996) Large-scale synthesis of aligned carbon nanotubes. Science 274 1701-1703.
23. J.Z. Liu, Q. Zheng and Q. Jiang (2001) Effect of a rippling mode on resonances of carbon nanotubes. Phys. Rev. Lett. 86 4843-4846.
24. O. Lourie and H.D. Wagner (1998) Evaluation of Young's modulus of carbon nanotubes by micro-Raman spectroscopy. J. Mater. Res. 13 2418-2422.
25. J.P. Lu (1997) Elastic properties of carbon nanotubes and nanoropes. Phys. Rev. Lett. 79 1297-1300.
26. L. Meirovich (1986) Elements of Vibration Analysis 2nd edn. New York: McGraw-Hill
27. R. Miller, M. Ortiz, R. Phillips, V. Shenoy and E.B. Tadmor (1998) Quasicontinuum models of fracture and plasticity. Eng. Frac. Mech. 61 427-444.
28. R. Miller, E.B. Tadmor, R. Phillips and M. Ortiz (1998) Quasicontinuum simulation of fracture at the atomic scale. Modell. Simulation Mater. Sci. Eng. 6 607-638.
29. J.M. Molina, S.S. Savinsky and N.V. Khokhriakov (1996) A tight-binding model for calculations of structures and properties of graphitic nanotubes. J. Chem. Phys. 104 4652-4656.
30. J. Muster, M. Burghard, S. Roth, G.S. Duesberg, E. Hernandez and A. Rubio (1998) Scanning force microscopy characterization of individual carbon nanotubes on electrode arrays. J. Vacuum Sci. Technol. B 16 2796-2801.
31. M.B. Nardelli, B.I. Yakobson and J. Bernholc (1998) Brittle and ductile behavior in carbon nanotubes. Phys. Rev. Lett. 81 4656-4659.
32. M.B. Nardelli, B.I. Yakobson and J. Bernholc (1998) Mechanism of strain release in carbon nanotubes. Phys. Rev. B 57 R4277-R4280.
33. G. M. Odegard, T. S. Gates, L. M. Nicholson and K. E. Wise, 2001, Equivalent-continuum modeling of nano-structured materials, NASA/TM-2001-210863.
34. N. Osakabe, K. Harada, M.I. Lutwyche, H. Kasai and A. Tonomura (1997) Time-resolved observation of thermal oscillations by transmission electron microscopy. Appl. Phys. Lett. 70 940-943.
35. G. Overney, W. Zhong and D. Tomanek (1993) Structural rigidity and low-frequency vibrational modes of long carbon tubules. Zeitschrift für Physik D: Atoms, Molecules and Clusters 27 93-96.
36. Z.W. Pan, S.S. Xie, B.H. Chang, C.Y. Wang, L. Lu, W. Liu, M.Y. Zhou, W.Z. Li and L.X. Qian (1998) Very long carbon nanotubes. Nature 394 631-632.
37. Z.W. Pan, S.S. Xie, L. Lu, B.H. Chang, L.F. Sun, W.Y. Zhou and G. Wang (1999) Tensile tests of ropes of very long aligned multiwall carbon nanotubes. Appl. Phys. Lett. 74 3152-3154.
38. P. Poncharal, Z.L. Wang, D. Ugarte and W.A. de Heer (1999) Electrostatic deflections and electromechanical resonances of carbon nanotubes. Science 283 1513-1516.
39. V.N. Popov, V.E. van Doren and M. Balkanski (2000) Elastic properties of single-walled carbon nanotubes. Phys. Rev. B 61 3078-3084.
40. Y.I. Prylutskyy Yu.I., S.S. Durov, O.V. Ogloblya, E.V. Buzaneva and P. Scharff (2000) Molecular dynamics simulation of mechanical, vibrational and electronic properties of carbon nanotubes. Comp. Mater. Sci. 17 352-355.
41. D. Qian, G. J. Wagner, W. K. Liu, M. F. Yu and R. S. Ruoff, 2002, Mechanics of carbon nanotubes. Appl. Mech. Rev., in press.
42. Z.F. Ren, Z.P. Huang, J.W. Xu, J.H. Wang, P. Bush, M.P. Siegal and P.N. Provencio (1998) Synthesis of large arrays of well-aligned carbon nanotubes on glass. Science 282 1105-1107.
43. D.H. Robertson, D.W. Brenner and J.W. Mintmire (1992) Energetics of nanoscale graphitic tubules. Phys. Rev. B 45 12592-12595.
44. C.Q. Ru (2000) Effective bending stiffness of carbon nanotubes. Phys. Rev. B 62 9973-9976.
45. C.Q. Ru (2000) Elastic buckling of single-walled carbon nanotube ropes under high pressure. Phys. Rev. B 62 10405-10408.
46. C.Q. Ru (2001) Axially compressed buckling of a doublewalled carbon nanotube embedded in an elastic medium. J. Mech. Phys. Solids 49 1265-1279.
47. R. Saito, G. Dresselhaus and M.S. Dresselhaus (1998) Physical Properties of Carbon Nanotubes London: Imperial College Press
48. J.P. Salvetat, G. Andrew, D. Briggs, J.M. Bonard, R.R. Bacsa, A.J. Kulik, T. Stöckli, N.A. Burnham and L. Forró (1999) Elastic and shear moduli of single-walled carbon nanotube ropes. Phys. Rev. Lett. 82 944-947.
49. J.P. Salvetat, A.J. Kulik, J.M. Bonard, G. Andrew, D. Briggs, T. Stöckli, K. Méténier, S. Bonnamy, F. Béguin, N.A. Burnham and L. Forró (1999) Elastic modulus of ordered and disordered multiwalled carbon nanotubes. Adv. Mater. 11 161-165.
50. D. Sánchez-Portal, E. Artacho, J.M. Soler, A. Rubio and P. Ordejón (1999) Ab initio structural, elastic, and vibrational properties of carbon nanotubes. Phys. Rev. B 59 12678-12688.
51. V.B. Shenoy, R. Miller, E.B. Tadmor, R. Phillips and M. Ortiz (1998) Quasicontinuum models of interfacial structure and deformation. Phys. Rev. Lett. 80 742-745.
52. V.B. Shenoy, R. Miller, E.B. Tadmor, D. Rodney, R. Phillips and M. Ortiz (1999) An adaptive finite element approach to atomic-scale mechanics---the quasicontinuum method. J. Mech. Phys. Solids 47 611-642.
53. E.B. Tadmor, M. Ortiz and R. Philips (1996) Quasicontinuum analysis of defects in solids. Phil. Mag. A 73 1529-1563.
54. E.B. Tadmor, R. Philips and M. Ortiz (1996) Mixed atomistic and continuum models of deformation in solids. Langmuir 12 4529-4534.
55. A. Thess, R. Lee, P. Nikolaev, H.J. Dai, P. Petit, J. Robert, C. Xu, Y.H. Lee, S.G. Kim, A.G. Rinzler, D.T. Colbert, G.E. Scuseria, D. Tomanek, J.E. Fischer and R.E. Smalley (1996) Crystalline ropes of metallic carbon nanotubes. Science 273 483-487.
56. T.W. Tombler, C. Zhou, L. Alexseyev, J. Kong, H. Dai, L. Liu, C.S. Jayanthi, M. Tang and S.-Y. Wu (2000) Reversible electromechanical characteristics of carbon nanotubes under local-probe manipulation. Nature 405 769-772.
57. M.M.J. Treacy, T.W. Ebbesen and J.M. Gibson (1996) Exceptionally high Young's modulus observed for individual carbon nanotubes. Nature 381 678-680.
58. L. Vaccarini, C. Goze, L. Henrard, E. Hernández, P. Bernier and A. Rubio (2000) Mechanical and electronic properties of carbon and boron-nitride nanotubes. Carbon 38 1681-1690.
59. G. Van Lier, C. Van Alsenoy, V. Van Doren and P. Geerlings (2000) Ab initio study of the elastic properties of single-walled carbon nanotubes and graphene. Chem. Phys. Lett. 326 181-185.
60. Z.L. Wang, P. Poncharal and W.A. De Heer (2000) Measuring physical and mechanical properties of individual carbon nanotubes by in-situ TEM. J. Phys. Chem. Solids 61 1025-1030.
61. Z.L. Wang, P. Poncharal and W.A. De Heer (2000) Nanomeasurments of individual carbon nanotubes by in-situ TEM. Pure Appl. Chem. 72 209-219.
62. Z.L. Wang, Z.R. Dai, R.P. Gao, Z.G. Bai and J. Gole (2000) Side-by-side silicon carbide-silica biaxial nanowires: synthesis, structure and mechanical properties. Appl. Phys. Lett. 77 3349-3351.
63. E.W. Wong, P.E. Sheehan and C.M. Lieber (1997) Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes. Science 277 1971-1975.
64. B.I. Yakobson (1998) Mechanical relaxation and “intramolecular plasticity” in carbon nanotubes. Appl. Phys. Lett. 72 918-920.
65. B.I. Yakobson and P. Avouris Ph. (2001) Mechanical properties of carbon nanotubes. M.S. Dresselhaus, G. Dresselhaus, P. Avouris (Eds) Carbon Nanotubes Series Topics in Applied Physics vol. 80 New York: Springer 287-329.
66. B.I. Yakobson, C.J. Brabec and J. Bernholc (1996) Nanomechanics of carbon tubes: instabilities beyond linear response. Phys. Rev. Lett. 76 2511-2514.
67. B.I. Yakobson, M.P. Campbell, C.J. Brabec and J. Bernholc (1997) High strain rate fracture and C-chain unraveling in carbon nanotubes. Comp. Mater. Sci. 8 341-348.
68. M.-F. Yu, O. Lourie, M.J. Dyer, K. Moloni, T.F. Kelly and R.S. Ruoff (2000) Strength and breaking mechanism of multiwalled carbon nanotubes under tensile load. Science 287 637-640.
69. P. Zhang, Y. Huang, H. Gao and K.C. Hwang (2002) Fracture nucleation in single-wall carbon nanotubes under tension: a continuum analysis incorporating interatomic potentials. J. Appl. Mech. 69 454-458.
70. P. Zhang, Y. Huang, P.H. Geubelle and K.C. Hwang (2002) On the continuum modeling of carbon nanotubes. Acta Mech. Sinica 18 528-536.
71. P. Zhang, Y. Huang, P.H. Geubelle, P.A. Klein and K.C. Hwang (2002) The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials. Int. J. Solids Struct. 39 3893-3906.
72. G. Zhou, W. Duan and B. Gu (2001) First-principles study on morphology and mechanical properties of single-walled carbon nanotube. Chem. Phys. Lett. 333 344-349.
73. H.W. Zhu, C.L. Xu, D.H. Wu, B.Q. Wei, R. Vajtai and P.M. Ajayan (2002) Direct synthesis of long single-walled carbon nanotube strands. Science 296 884-886.