Thermodynamics of two-dimensional single-component elastic crystalline solids: Single-wall carbon nanotubes

Philosophical Magazine

Volumn 85, Issue 20, 2005, Pages 2249-2280

  Oh, E S ^a   Slattery, J C ^a   Lagoudas, D C ^a  

^a Department of Electrical and Computer Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; CRYSTALLINE MATERIALS; ELASTICITY; FREE ENERGY; PLASTIC DEFORMATION; STRESS ANALYSIS; VECTORS;

CRYSTALLINE SOLIDS; INTERATOMIC POTENTIALS; SINGLE-WALL CARBON NANOTUBES; TWO-DIMENSIONAL ARRAYS;

CARBON NANOTUBES;

EID: 27944467780     PISSN: 14786435     EISSN: 14786443     Source Type: Journal    
DOI: 10.1080/14786430500070529     Document Type: Article

References (60)

1. J. Tersoff, Phys. Rev. B 37 6991 (1988).
2. D.W. Brenner, Phys. Rev. B 42 9458 (1990).
3. D.W. Brenner, O.A. Shenderova, J.A. Harrison, S.J. Stuart, B. Ni and S.B. Sinnott, J. Phys. Condens. Matter 14 783 (2002).
4. J.C. Slattery and D.C. Lagoudas, Mech. Mater. 37 121 (2005).
5. C. Truesdell and W. Noll, in The Non-linear Field Theories of Mechanics, edited by S. Flügge (Springer-Verlag, Berlin, 1965).
6. J.C. Slattery, Interfacial Transport Phenomena (Springer-Verlag, New York, 1990).
7. K.R. Rajagopal and A.R. Srinivasa, Int. J. Plas. 14 945 (1998).
8. W. Noll, Arch. Rational Mech. Analysis 2 197 (1958).
9. C. Truesdell, The Elements of Continuum Mechanics (Springer-Verlag, New York, 1966).
10. J.L. Ericksen, J. Elasticity 28 55 (1992).
11. D.I. Steigmann and R.W. Ogden, Proc. R. Spc. A 455 437 (1999).
12. A.H. Windle, A First Course in Crystallography (G. Bell and Sons, London, 1977).
13. C.S.G. Cousins, J. Phys. C 11 4867 (1978).
14. M. Arroyo and T. Belytschko, J. Mech. Phys. Solids 50 1941 (2002).
15. J.L. Ericksen, in The Cauchy and Born Hypotheses for Crystals, edited by M.E. Gurtin (Academic Press, New York, 1984).
16. G. Zanzotto, Arch. Rational Mech. Analysis 121 1 (1992).
17. P.A. Klein, A Virtual Internal Bond Approach to Modeling Crack Nucleation and Growth, PhD thesis, Stanford University (1999).
18. R.D. James and K.F. Hane, Acta Mater. 48 197 (2000).
19. P. Zhang, Y. Huang, P.H. Geubelle, P.A. Klein and K.C. Hwang, Int. J. Solids Struct. 39 3893 (2002).
20. C. Truesdell and R.A. Toupin, The Classical Field Theories, edtied by S. Flügge, (Springer-Verlag, Berlin, 1960).
21. C. Truesdell, Rational Thermodynamics (McGraw-Hill, New York, 1969).
22. J.C. Slattery, Momentum, Energy and Mass Transfer in Continua, First edition (McGraw-Hill, New York, 1972).
23. J.C. Slattery, Momentum, Energy and Mass Transfer in Continua, Second edition (McGraw-Hill, New York, 1981).
24. D.G.B. Edelen, Adv. Chem. Phys. 33 399 (1975).
25. J.C. Slattery, Advanced Transport Phenomena (Canbridge University Press, New York, 1999).
26. B.I. Yakobson, C.J. Brabec and J. Bernholc, Phys. Rev. Lett. 76 2511 (1996).
27. J.W.G. Wildoer, L.C.G. Venema, R.E. Smalley and C. Dekker, Nature 391 59 (1998).
28. T.W. Odom, J.L. Huang, P. Kim and C.M. Lieber, Nature 391 62 (1998).
29. M.F. Yu, O. Lourie, M.J. Dyer, K. Moloni, T.F. Kelly and R.S. Ruoff, Science 287 637 (2000).
30. O.L. Blakslee, D.G. Proctor, E.I. Seldin, G.B. Spence and T. Weng, J. Appl. Phys. 41 3373 (1970).
31. B.T. Kelly, Physics of Graphite (Applied Science, London, 1981).
32. A. Krishnan, E. Dujardin, T.W. Ebbesen, P.N. Yianilos and M.M.J. Treacy, Phys. Rev. B 58 14013 (1998).
33. O. Lourie and H.D. Wagner, J. Mater. Res. 13 2418 (1998).
34. J.P. Salvetat, G.A.D. Briggs, J.M. Bonard, R.R. Bacsa, A.J. Kulik, T. Stockli, N.A. Burnham and L. Forro, Phys. Rev. Lett. 82 944 (1999).
35. T.W. Tombler, C.W. Zhou, L. Alexseyev, J. Kong, H.J. Dai, L. Lei, C.S. Jayanthi, M.J. Tang and S.Y. Wu, Nature 405 769 (2000).
36. M.F. Yu, B.S. Files, S. Arepalli and R.S. Ruoff, Phys. Rev. Lett. 84 5552 (2000).
37. C.F. Cornwell and L.T. Wille, Solid St. Commun. 101 555 (1997).
38. J.P. Lu, Phys. Rev. Lett. 79 1297 (1997).
39. T. Halicioglu, Thin Solid Films 312 11 (1998).
40. E. Hernandez, C. Goze, P. Berner and A. Rubio, Appl. Phys. A 68 287 (1999).
41. L.G. Zhou and S.Q. Shi, Comp. Mater. Sci. 23 166 (2002).
42. V.N. Popov, V.E. Van Doren and M. Balkanski, Phys. Rev. B 59 8355 (1999).
43. D. Sanchez-Portal, E. Artacho, J.M. Solar, A. Rubio and P. Ordejon, Phys. Rev. B 59 12678 (1999).
44. G. Van Lier, C. Van Aisenoy, V. Van Doren and P. Geerlings, Chem. Phys. Lett. 326 181 (2000).
45. G. Zhou, W.H. Duan and B.L. Gu, Chem. Phys. Lett. 333 344 (2001).
46. C.Q. Ru, Phys. Rev. B 62 9973 (2000).
47. C.Q. Ru, Phys. Rev. B 62 10405 (2000).
48. K.N. Kudin, G.E. Scuseria and B.I. Yakobson, Phys. Rev. B 64 235406 (2001).
49. J.Z. Liu, Q.S. Zheng and Q. Jiang, Phys. Rev. Lett. 86 4843 (2001).
50. Z.C. Tu and Z. Ou-Yang, Phys. Rev. B 65 233407 (2002).
51. G.M. Odegard, T.S. Gates, L.M. Nicholson and K.E. Wise, Comp. Sci. Tech. 62 1869 (2002).
52. P. Zhang, Y. Huang, H. Gao and K.C. Hwang, J. Appl. Mech. 69 454 (2002).
53. H. Jiang, P. Zhang, B. Liu, Y. Huang, P.H. Geubelle, H. Gao and K.C. Hwang, Comp. Mater. Sci. 28 429 (2003).
54. T. Belytschko, S.P. Xiao, G.C. Schatz and R.S. Ruoff, Phys. Rev. B 65 235430 (2002).
55. M.S. Dresselhaus, G. Dresselhaus and R. Saito, Carbon 33 883 (1995).
56. J.W. Tester and M. Modell, Thermodynamics and Its Applications, Third edition (Prentice Hall, New Jersey, 1996).
57. T.L. Brown, H.E. LeMay and B.E. Bursten, Chemistry: The Central Science (Prentice Hall, New Jersey, 2002).
58. J.P. Salvetat, J.M. Bonard, N.H. Thomson, A.J. Kulik, L. Forro, W. Benoit and L. Zuppiroli, Appl. Phys. A 69 255 (1999).
59. M.T. Yin and M.L. Cohen, Phys. Rev. B 29 6996 (1983).
60. M.T. Yin and M.L. Cohen, Phys. Rev. Lett. 50 2006 (1983).