Analysis of localized failure of single-wall carbon nanotubes

Computational Materials Science

Volumn 35, Issue 4, 2006, Pages 432-441

  Lu, Jia ^a   Zhang, Liang ^a  

^a IA United States   (United States)

Author keywords

Acoustic tensor; Carbon nanotube; Material failure; Strain localization

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; CRUSHING; DUCTILE FRACTURE; PLASTIC PRODUCTS; STRAIN CONTROL;

ACOUSTIC TENSOR; MATERIAL FAILURE; STRAIN LOCALIZATION; TERSOFF-BRENNER POTENTIAL;

CARBON NANOTUBES;

EID: 31444438273     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2005.02.011     Document Type: Article

References (37)

1. M. Arroyo, and T. Belytschko An atomistic-based finite deformation membrane for single layer crystalline films Journal of the Mechanics and Physics of Solids 50 9 2002 1941 1977
2. M. Arroyo, and T. Belytschko A finite deformation membrane based on inter-atomic potentials for the transverse mechanics of nanotubes Mechanics of Materials 35 3-6 2003 193 215
3. M. Arroyo, and T. Belytschko Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule Physical Review B 69 2004 115 415
4. M. Arroyo, and T. Belytschko Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes International Journal for Numerical Methods in Engineering 59 2004 419 456
5. T. Belytschko, S.P. Xiao, G.C. Shatz, and R.S. Ruoff Atomistic simulations of nanotube fracture Physical Review B 65 2002 235 430
6. Q.W. Brenner Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films Physical Review B 42 1990 9458 9471
7. H. Gao, Y. Huang, and F.A. Abraham Continuum and atomistic studies of intersonic crack propagation Journal of the Mechanics and Physics of Solids 49 2001 2113 2132
8. H. Jiang, X.Q. Feng, Y. Huang, K.C. Hwang, and P.D. Wu Defect nucleation in carbon nanotubes under tension and torsion: Stone-Wales transformation Computer Methods in Applied Mechanics and Engineering 193 2004 3419 3429
9. H. Jiang, P. Zhang, B. Liu, Y. Huang, P.H. Geubelle, H. Gao, and K.C. Hwang The effect of nanotube radius on the constitutive model for carbon nanotubes Computational Materials Science 28 2003 429 442
10. R. Hill Acceleration waves in solids Journal of Mechanics and Physics of Solids 10 1962 1 16
11. R. Hill On the theory of plane strain in finitely deformed compressible materials Mathematical Proceedings of the Cambridge Philosophical Society 86 1979 161 178
12. L. Van Hove, Sur l'extension de la condition de legendre du calcul des variations aux integrals multiples a plusieurs fonctions inconnues. Koninklijke Nederlandse Akademie van Wetenschappen. Afdeling Natuurkunde. Proceedings of the Section of Sciences 50 (1947) 18-23.
13. S. Iijima, C. Brabec, A. Matti, and J. Bernholc Structural flexibility of carbon nanotubes Journal of Chemical Physics 104 5 1996 2089 2092
14. P. Klein, and H. Gao Crack nucleation and growth as strain localization in a virtual-bond continuum Engineering Fracture Mechanics 61 1998 21 48
15. J. Li, K.J. Van Vliet, T. Zhu, S. Yip, and S. Suresh Atomistic mechanisms governing elastic limit and incipient plasticity in crystals Nature 418 2002 303 310
16. O. Lourie, D.M. Cox, and H.D. Wagner Buckling and collapse of embedded carbon nanotubes Physical Review Letters 81 8 1998 1638 1641
17. M.A.L. Marques, H.E. Troiani, M. Miki-Yoshida, M. Jose-Yacaman, and A. Rubio On the breaking of carbon nanotubes under tension Nano Letters 4 5 2004 811 815
18. S.L. Mielke, D. Troya, S. Zhang, J.L. Li, S. Xiao, R. Car, R.S. Ruoff, G.C. Schatz, and T. Belytschko The role of vacancy defects and holes in the fracture of carbon nanotubes Chemical Physics Letters 390 2004 413 420
19. M.B. Nardelli, B.I. Yakobson, and J. Bernholc Brittle and ductile behavior in carbon nanotubes Physical Review Letters 81 1998 4656
20. A. Needleman Analysis of plastic flow localization in metals Applied Mechanics Review 45 1992 S3 S18
21. R.W. Ogden Non-linear elastic deformations 1997 Dover Publication New York
22. J.R. Rice The localization of plastic deformation W.T. Koiter Theoretical and applied mechanics 1976 North-Holland Publishing Company 207 220
23. D. Srivastava, M. Meunon, and K. Cho Nanoplasticity of single-wall carbon nanotubes under uniaxial compression Physical Review Letters 83 1999 2973 2976
24. D. Srivastava, M. Meunon, and K. Cho Anisotropic nanomechanics of boron nitrid nanotubes: nanostructured "skin" effect Physical Review B 63 2001 195413 195416
25. D. Srivastava, C. Wei, and K. Cho Nanomechanics of carbon nanotubes and composites Applied Mechanics Review 56 2003 215 229
26. E.B. Tadmor, M. Ortiz, and R. Philips Quasicontinuum analysis of defects in solids Philosophical Magazine 73 1996 1529 1563
27. J. Tersoff New empirical approach to the structure and energy of covalent systems Physical Review B 37 1988 6991 7000
28. C. Truesdell, and W. Noll The non-linear field theories of mechanics S. Flügge Handbuch der Physik vol. Bd. 3/3 1965 Springer-Verlag Berlin, New York
29. K.J. Van Vliet, J. Li, T. Zhu, S. Yip, and S. Suresh Quantifying the early stages of plasticity through nanoscale experiments and simulations Physical Review B 67 2003 104 105
30. B.I. Yakobson, C.J. Brabec, and J. Bernholc Nanomechanics of carbon tubes: instabilities beyond linear response Physical Review Letters 76 1996 2511 2514
31. B.I. Yakobson, M.P. Campbell, C.J. Brabec, and J. Bernholc High strain rate fracture and c-chain unraveling in carbon Computational Materials Science 8 1997 341 348
32. M.F. Yu, O. Lourie, M.J. Dyer, K. Moloni, T.F. Kelly, and R.S. Ruoff Strength and breaking mechanism of multiwalled carbon nanotubes under tensile load Science 287 2000 637 640
33. P. Zhang, Y. Huang, H. Gao, and K.C. Hwang Fracture nucleation in single-wall carbon nanotubes under tension: a continuum analysis incorporating interatomic potentials Journal of Applied Mechanics 69 2002 454 458
34. P. Zhang, Y. Huang, P.H. Geubelle, P.A. Klein, and K.C. Hwang The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials International Journal of Solids and Structures 39 2002 3893 3906
35. P. Zhang, J. Jiang, Y. Huang, P.H. Geubelle, and K.C. Hwang An atomistic-based continuum theory for carbon nanotubes: analysis of fracture nucleation Journal of the Mechanics and Physics of Solids 52 2004 977 998
36. Q. Zhao, M.B. Nardelli, and J. Bernholc Ultimate strength of carbon nanotubes: a theoretical study Physical Review B 65 2002 105 144
37. T. Zhu, J. Li, K.J. Van Vliet, S. Ogata, S. Yip, and S. Suresh Predictive modeling of nanoindentation-induced homogeneous dislocation nucleation in copper Journal of Mechanics and Physics of Solids 52 2004 691 724