Nanoscale fracture mechanics

Annual Review of Physical Chemistry

Volumn 58, Issue , 2007, Pages 185-209

  Mielke, Steven L ^a   Belytschkobelytschko, Ted ^b   Schatz, George C ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

^b Northwestern University   (United States)

Author keywords

Brittle fracture; Carbon nanotube fracture; Oxidative pitting; Plastic deformation; Stone Wales defects; Vacancy defects

Indexed keywords

BRITTLE FRACTURE; CARBON NANOTUBES; NANOTECHNOLOGY; PLASTIC DEFORMATION; VACANCIES;

CHEMICAL FUNCTIONALIZATION; OXIDATIVE PITTING; STONE-WALES DEFECTS;

FRACTURE MECHANICS;

CARBON; NANOMATERIAL;

CHEMISTRY; PHYSICAL CHEMISTRY; REVIEW;

CARBON; CHEMISTRY, PHYSICAL; NANOSTRUCTURES;

EID: 33846908197     PISSN: 0066426X     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev.physchem.58.032806.104502     Document Type: Article

References (156)

1. Ballarini R, Kayacan R, Ulm F-J, Belytschko T, Heuer AH. 2005. Biological structures mitigate catastrophic fracture through various strategies. Int. J. Fract. 135:187-97
2. Fantner GE, Oroudjev E, Schitter G, Golde LS, Thurner P, et al. 2006. Sacrificial bonds and hidden length: unraveling molecular mesostructures in tough materials. Biophys. J. 90:1411-18
3. Saito R, Dresselhaus G, Dresselhaus MS. 1998. Physical Properties of Carbon Nanotubes. London: Imperial College Press. 259pp.
4. Viculis LM, Mack JJ, Kaner RB. 2003. A chemical route to carbon nanoscrolls. Science 299:1361
5. Ruland W, Schaper AK, Hou H, Greiner A. 2003. Multi-wall carbon nanotubes with uniform chirality: evidence for scroll structures. Carbon 41:423-27
6. Schniepp HC, Li J-L, McAllister MJ, Sai H, Herrera-Alonso M, et al. 2006. Functionalized single graphene sheets derived from splitting graphite oxide. J. Phys. Chem. A 110:8535-39
7. Espinosa HD, Peng B, Prorok BC, Moldovan N, Auciello O, et al. 2003. Fracture strength of ultrananocrystalline diamond thin films: identification of Weibull parameters. J. Appl. Phys. 94:6076-84
8. Paci JT, Belytschko T, Schatz GC. 2005. The mechanical properties of singlecrystal and ultrananocrystalline diamond: a theoretical study. Chem. Phys. Lett. 414:351-58
9. Wong EW, Sheehan PE, Lieber CM. 1997, Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes. Science 277:1971-75
10. Wu B, Heidelberg A, Boland J. 2005. Mechanical properties of ultrahigh-strength gold nanowires. Nat. Mater. 4:525-29
11. Ding W, Calabri L, Chen X, Kohlhaas KM, Ruoff RS. 2006. Mechanics of crystalline boron nanowires. Compos. Sci. Technol. 66:1109-21
12. Ajayan PM, Stephan O, Redlich P, Collier C. 1995. Carbon nanotubes as removable templates for metal oxide nanocomposites and nanostructures. Nature 375:564-67
13. Arroyo M, Belytschko T. 2003. Nonlinear mechanical response and rippling of thick multiwalled carbon nanotubes. Phys. Rev. Lett. 91:215505
14. Arroyo M, Belytschko T. 2004. Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule. Phys. Rev. B 69:115415
15. Arroyo M, Belytschko T. 2004. Finite element methods for the nonlinear mechanics of crystalline sheets and nanotubes. Int, J. Numer. Meth. Eng, 59:419-56
16. Mielke SL, Troya D, Zhang S, Li J-L, Xiao S, et al. 2004. The role of vacancy deflects and holes in the fracture of carbon nanotubes. Chem. Phys. Lett. 390:413-20
17. Abraham FF, Broughton JQ, Bernstein N, Kaxiras E. 1998. Spanning the length scales in dynamic simulation. Comput. Phys. 12:538-46
18. Shilkrot LE, Curtin WA, Miller RE. 2002. A coupled atomistic/continuum model of defects in solids. J. Mech. Phys. Solids 50:2085-306
19. Zhang S, Mielke SL, Khare R, Troya D, Ruoff RS, et al. 2005. Mechanics of defects in carbon nanotubes: atomistic and multiscale simulations. Phys. Rev. B 71:115403
20. Abell GC. 1985. Empirical chemical pseudopotential theory of molecular and metallic bonding. Phys. Rev. B 31:6184-96
21. Tersoff J. 1988. New empirical approach for the structure and energy of covalent systems. Phys. Rev. B 37:6991-7000
22. Tersoff J. 1988. Empirical interatomic potential for carbon, with application to amorphous carbon. Phys. Rev. Lett. 61:2879-82
23. Brenner DW. 1990. Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films. Phys. Rev. B 42:9458-71. Erratum. 1992. Phys. Rev. 546:1948
24. Brenner DW, Shenderova OA, Harrison JA, Stuart SJ, Ni B, Sinnott SB. 2002. A second-generation reactive empirical bond order (REBO) potential energy expression for hydrocarbons. J. Phys. Condens. Matter 14:783-802
25. Ni B, Lee K-H, Sinnott SB. 2004. A reactive empirical bond order (REBO) potential for hydrocarbon-oxygen interactions. J. Phys. Condens. Matter 16:7261-75
26. Shenderova OA, Brenner DW, Omeltchenko A, Su X, Yang LH. 2000. Atomistic modeling of the fracture of polycrystalline diamond. Phys. Rev. B 61:3877-88
27. Belytschko T, Xiao SP, Schatz GC, Ruoff RS. 2002. Atomistic simulations of nanotube fracture. Phys. Rev. B 65:235430
28. Justo JF, Bazant MZ, Kaxiras E, Bulatov W, Yip S. 1998. Interatomic potential for silicon defects and disordered phases. Phys. Rev. B 58:2539-50
29. Marks NA. 2001. Generalizing the environment-dependent interaction potential for carbon. Phys. Rev. B 63:035401
30. Van Duin ACT, Dasgupta S, Lorant F, Goddard WA III. 2001. ReaxFF: a reactive force field for hydrocarbons. J. Phys. Chem. A 105:9396-409
31. Pettifor DG, Oleinik II. 1999. Analytic bond-order potentials beyond Tersoff-Brenner. I. Theory. Phys. Rev. B 59:8487-99
32. Drautz R, Murdick DA, Nguyen-Manh D, Zhou X, Wadley HNG, Pettifor DG. 2005. Analytic bond-order potential for predicting structural trends across the sp-valent elements. Phys. Rev. B 72:144105
33. Bettinger HF. 2004. Effects of finite carbon nanotube length on sidewall addition of fluorine atom and methylene. Org. Lett. 6:731-35
34. Zhou Z, Steigerwald M, Hybertsen M, Brus L, Friesner RA. 2004. Electronic structure of tubular aromatic molecules derived from the metallic (5,5) armchair single wall carbon nanotube. J. Am. Chem. Soc. 126:3597-607
35. Chen Z, Nagase S, Hirsch A, Haddon RC, Thiel W, Schleyer PVR. 2004. Side-wall opening of single-walled carbon nanotubes (SWCNTs) by chemical modification: a critical theoretical study. Angew. Chem. Int. Ed. Engl. 43:1552-54
36. Fan X, Dickey EC, Eklund PC, Williams KA, Grigorian L, et al. 2000. Atomic arrangement of iodine atoms inside single-walled carbon nanotubes. Phys. Rev. Lett. 84:4621-24
37. Iijima S. 1991. Helical microtubules of graphitic carbon. Nature 354:56-58
38. Nikolaev P, Bronikowski MJ, Bradley RK, Rohmund F, Colbert DT, et al. 1999. Gas-phase catalytic growth of single-walled carbon nanotubes from carbon monoxide. Chem. Phys. Lett. 313:91-97
39. Wei J, Jiang B, Wu D, Wei B. 2004. Large-scale synthesis of long double-walled carbon nanotubes. J. Phys. Chem. B 108:8844-47
40. Kim YA, Muramatsu H, Hayashi T, Endo M, Terrones M, Dresselhaus MS. 2004. Thermal stability and structural changes of double-walled carbon nanotubes by heat treatment. Chem. Phys. Lett. 398:87-92
41. Muramatsu H, Hayashi T, Kim YA, Shimamoto D, Kim YJ, et al. 2005. Pore structure and oxidation stability of double-walled carbon nanotube-derived bucky paper. Chem. Phys. Lett. 414:444-48
42. Pan ZW, Xie SS, Chang BH, Wang CY, Lu L, et al. 1998. Very long carbon nanotubes. Nature 394:631-32
43. Andrews R,Jacques D, Rao AM, Derbyshire F, Qian D, et al. 1999. Continuous production of aligned carbon nanotubes: a step closer to commercial realization. Chem. Phys. Lett. 303:467-74
44. Zheng LX, O'Connell MJ, Doorn SK, Liao XZ, Zhao YH, et al. 2004. Ultralong single-wall carbon nanotubes. Nat. Mater. 3:673-76
45. Gao G, Cagin T, Goddard WA III. 1998. Energetics, structure, mechanical and vibrational properties of single-walled carbon nanotubes. Nanotechnology 9:184-91
46. Zhang S, Khare R, Belytschko T, Hsia KJ, Mielke SL, Schatz GC. 2006. Transition states and minimum energy pathways for the collapse of carbon nanotubes. Phys. Rev. B 73:075423
47. Ogata S, Shibutani Y. 2003. Ideal tensile strength and band gap of single-walled carbon nanotubes. Phys. Rev. B 68:165409
48. Ozaki T, Iwasa Y, Mitani T. 2000. Stiffness of single-walled carbon nanotubes under large strain. Phys. Rev. Lett. 84:1712-15
49. Troya D, Mielke SL, Schatz GC. 2003. Carbon nanotube fracture-differences between quantum mechanical mechanisms and those of empirical potentials. Chem. Phys. Lett. 382:133-41
50. Dumitrica T, Belytschko T, Yakobson BI. 2003. Bond-breaking bifurcation states in carbon nanotube fracture. J. Chem. Phys. 118:9485-88
51. Sanchez-Portal D, Artacho E, Soler JM, Rubio A, Ordejon P. 1999. Ab initio structural, elastic, and vibrational properties of carbon nanotubes. Phys. Rev. B 59:12678-88
52. 2 F, BN, and C nanoshell elasticity from ab initio computations. Phys. Rev. B 64:235406
53. Chopra NG, Luyken RJ, Cherrey K, Crespi VH, Cohen ML, et al. 1995. Boron nitride nanotubes. Science 269:966-67
54. Tenne R, Margulis L, Genut M, Kodes G. 1992. Polyhedral and cylindrical structures of tungsten disulphide. Nature 360:444-46
55. 2 nanotubes. J. Phys. Chem. B 104:8976-81
56. Margulis L, Salitra G, Tenne R, Talianker M. 1993. Nested fullerene-like structures. Nature 365:113-14
57. Seifert G, Terrones H, Terrones M, Jungnickel G, Frauenheim T. 2000. Structure and electronic properties of MoS: nanotubes. Phys. Rev. Lett. 85:146-49
58. Bengu E, Marks LD. 2001. Single-walled BN nanostructures. Phys. Rev. Lett. 86:2385-87
59. z nanotubules. Phys. Rev. B 51:11229-32
60. z nanotubes to pure BN nanotubes. Appl. Phys. Lett. 81:1110-12
61. Han W, Bando Y, Kurashima K, Sato T. 1998. Synthesis of boron nitride nanotubes from carbon nanotubes by a substitution reaction. Appl. Phys. Lett. 73:3085-87
62. Chen H, Chen Y, Yu J, Williams JS. 2006. Purification of boron nitride nanotubes. Chem. Phys. Lett. 425:315-19
63. 60 and some related species. Chem. Phys. Lett. 128:501-3
64. Nardelli MB, Yakobson BI, Bernholc J. 1998. Mechanism of strain release in carbon nanotubes. Phys. Rev. B 57: R4277-80
65. Zhao Q, Nardelli MB, Bernholc J. 2002. Ultimate strength of carbon nanotubes: a theoretical study. Phys. Rev. B 65:144105
66. Zhang P, Lammert PE, Crespi VH. 1998. Plastic deformations of carbon nanotubes. Phys. Rev. Lett. 81:5346-49
67. Yakobson BI. 1998. Mechanical relaxation and "intramolecular plasticity" in carbon nanotubes. Appl. Phys. Lett. 72:918-20
68. Nardelli MB, Yakobson BI, Bernholc J. 1998. Brittle and ductile behavior in carbon nanotubes. Phys. Rev. Lett. 81:4656-59
69. Hashimoto A, Suenaga K, Gloter A, Urita K, Iijima S. 2004. Direct evidence for atomic defects in graphene layers. Nature 430:870-73
70. Samsonidze GG, Samsonidze GG, Yakobson BI. 2002. Kinetic theory of symmetry-dependent strength in carbon nanotubes. Phys. Rev. Lett. 88:065501
71. Dumitrica T, Yakobson BI. 2004. Strain-rate and temperature dependent plastic yield in carbon nanotubes from ab initio calculations. Appl. Phys. Lett. 84:2775-77
72. Dumitrica T, Hua M, Yakobson BI. 2006. Symmetry-, time-, and temperature-dependent strength of carbon nanotubes. Proc. Natl. Acad. Sci. USA 103:6105-9
73. Zhang P, Crespi VH. 2000. Plastic deformations of boron-nitride nanotubes: an unexpected weakness. Phys. Rev. B 62:11050-503
74. Bettinger HF, Dumitrica T, Scuseria GE, Yakobson BI. 2002. Mechanically induced defects and strength of BN nanotubes. Phys. Rev. B 65:041406
75. Dumitrica T, Yakobson BI. 2005. Rate theory of yield in boron nitride nanotubes. Phys. Rev. B 72:035418
76. Wei C, Cho K, Srivastava D. 2003. Tensile strength of carbon nanotubes under realistic temperature and strain rate. Phys. Rev. B 67:115407
77. Wei C, Cho K, Srivastava D. 2003. Tensile yielding of multiwall carbon nanotubes. Appl. Phys. Lett. 82:2512-14
78. Bettinger HF. 2005. The reactivity of defects at the sidewalls of single-walled carbon nanotubes: the Stone-Wales defect. J. Phys. Chem. B 109:6922-24
79. Ewels CP, Heggie MI, Briddon PR. 2002. Adatoms and nanoengineering of carbon. Chem. Phys. Lett. 351:178-82
80. Jensen P, Gale J, Blase X. 2002. Catalysis of nanotube plasticity under tensile strain. Phys. Rev. B 66:193403
81. Orlikowski D, Nardelli MB, Bernholc J, Roland C. 1999. Ad-dimers on strained carbon nanotubes: a new route for quantum dot formation? Phys. Rev. Lett. 83:4132-35
82. Orlikowski D, Nardelli MB, Bernholc J, Roland C. 2000. Theoretical STM signatures and transport properties of native defects in carbon nanotubes. Phys. Rev. B61:14194-203
83. Sternberg M, Curtiss LA, Gruen DM, Kedziora G, Horner DA, et al. 2006. Carbon ad-dimer defects in carbon nanotubes. Phys. Rev. Lett. 96:075506
84. Nordund K, Keinonen J, Mattila T. 1996. Formation of ion irradiation induced small-scale defects on graphite surfaces. Phys. Rev. Lett. 77:699-702
85. Ajayan PM, Ravikumar V, Charlier J-C. 1998. Surface reconstructions and dimensional changes in single-walled carbon nanotubes. Phys. Rev. Lett. 81:1437-40
86. Krasheninnikov AV, Nordlund K, Sirvio M, Salonen E, Keinonen J. 2001. Formation of ion-irradiation-induced atomic-scale defects on walls of carbon nanotubes. Phys. Rev. B 63:245405
87. Telling RH, Ewels CP, El-Barbary AA, Heggie MI. 2003. Wigner defects bridge the graphite gap. Nat. Mater. 2:333-37
88. Kis A, Csanyi G, Saletat J-P, Lee T-N, Couteau E, et al. 2004. Reinforcement of single-walled carbon nanotube bundles by intertube bridging. Nat. Mater. 3:153-57
89. Sammalkorpi M, Krasheninnikov A, Kuronen A, Nordlund K, Kaski K. 2004. Mechanical properties of carbon nanotubes with vacancies and related defects. Phys. Rev. B 70:245416. Erratum. 2005. Phys. Rev. B 71:169906
90. Krasheninnikov AV, Banhart F, Li JX, Foster AS, Nieminen RM. 2005. Stability of carbon nanotubes under electron irradiation: role of tube diameter and chirality. Phys. Rev. B 72:125428
91. Krasheninnikov AV, Nordlund K, Keinonen J. 2002. Production of defects in supported carbon nanotubes under ion irradiation. Phys. Rev. B 65:165423
92. Crespi VH, Chopra NG, Cohen ML, Zettl A, Louie SG. 1996. Anisotropic electron-beam damage and the collapse of carbon nanotubes. Phys. Rev. B 54:5927-31
93. Terrones M, Terrones H, Banhart F, Charlier J-C, Ajayan PM. 2000. Coalescence of single-walled carbon nanotubes. Science 188:1226-29
94. Kang HS. 2006. Theoretical study of boron nitride nanotubes with defects in nitrogen-rich synthesis. J. Phys. Chem. B 110:4621-28
95. Schmidt TM, Baierle RJ, Piquini P, Fazzio A. 2003. Theoretical study of native defects in BN nanotubes. Phys. Rev. B 67:113407
96. Yang RT, Wong C. 1981. Mechanism of single-layer graphite oxidation: evaluation by electron microscopy. Science 214:437-38
97. Yang RT, Wong C. 1981. Kinetics and mechanism of oxidation of basal plane on graphite. J. Chem. Phys. 75:4471-76
98. Stevens F, Kolodny LA, Beebe TP Jr. 1998. Kinetics of graphite oxidation: monolayer and multilayer etch pits in HOPG studied by STM. J. Phys. Chem. 5102:10799-804
99. Lee SM, Lee YH, Hwang YG, Hahn JR, Kang H. 1999. Defect-induced oxidation of graphite. Phys. Rev. Lett. 82:217-20
100. Ciraci S, Dag S, Yildirim T, Gulseren O, Senger RT. 2004. Functionalized carbon nanotubes and device applications. J. Phys. Condens. Matter 16: R901-60
101. Bettinger HF. 2003. Experimental and computational investigations of the properties of fluorinated single-walled carbon nanotubes. Chemphyschem 4:1283-89
102. 2. Carbon 44:928-38
103. Srivastava D, Brenner DW, Schall JD, Ausman KD, Yu MF, Ruoff RS. 1999. Predictions of enhanced chemical reactivity at regions of local conformational strain on carbon nanotubes: kinky chemistry. J. Phys. Chem. B 103:4330-37
104. Banerjee S, Wong SS. 2004. Demonstration of diameter-selective reactivity in the sidewall ozonation of SWNTs by resonance Raman spectroscopy. Nano Lett. 4:1445-50
105. Zhang J, Zou H, Qing Q, Yang Y, Li Q, et al. 2003. Effect of chemical oxidation on the structure of single-walled carbon nanotubes. J. Phys. Chem. B 107:3712-18
106. Mickelson ET, Huffman CB, Rinzler AG, Smalley RE, Hauge RH, Margrave JL. 1998. Fluorination of single-wall carbon nanotubes. Chem. Phys. Lett. 296:188-94
107. Kelly KF, Chiang IW, Mickelson ET, Hauge RH, Margrave JL, et al. 1999. Insight into the mechanism of sidewall functionalization of single-walled nanotubes: an STM study. Chem. Phys. Lett. 313:445-50
108. Mickelson ET, Chiang IW, Zimmerman JL, Boul PJ, Lozano J, et al. 1999. Solvation of fluorinated single-wall carbon nanotubes in alcohol solvents. J. Phys. Chem. 5103:4318-22
109. Khare BN, Meyyappan M, Kralj J, Wilhite P, Sisay M, et al. 2002. A glowdischarge approach for functionalization of carbon nanotubes. Appl. Phys. Lett. 81:5237-39
110. 4 plasma. Appl. Phys. Lett. 83:2426-28
111. 4, plasma treatment and subsequent reaction with aliphatic amines. Chem. Phys. Lett. 403:385-89
112. Xu Y-Q, Peng H, Hauge RH, Smalley RE. 2005. Controlled multistep purification of single-walled carbon nanotubes. Nano Lett. 5:163-68
113. Wiltshire JG, Khlobystov AN, Li LJ, Lyapin SG, Briggs GAD, Nicholas RJ. 2004. Comparative studies on acid and thermal based selective purification of HiPCO produced single-walled carbon nanotubes. Chem. Phys. Lett. 386:239-43
114. Rinzler AG, Liu J, Dai H, Nikolaev P, Huffman CB, et al. 1998. Large-scale purification of single-wall carbon nanotubes: process, product, and characterization. Appl. Phys. A 67:29-37
115. Haddon RC, Sippel J, Rinzler AG, Papadimitrakopoulos F. 2004. Purification and separation of carbon nanotubes. MRS Bull. 29:252-59
116. Liu J, Rinzler AG, Dai H, Hafner JH, Bradley RK, et al. 1998. Fullerene pipes. Science 280:1253-56
117. Vivekchand SRC, Govindaraj A, Seikh MM, Rao CNR. 2004. New method of purification of carbon nanotubes based on hydrogen treatment. J. Phys. Chem. B 108:6935-37
118. Bom D, Andrews R, Jacques D, Anthony J, Chen B, et al. 2002. Thermogravimetric analysis of the oxidation of multiwalled carbon nanotubes: evidence for the role of defect sites in carbon nanotube chemistry. Nano Lett. 2:615-19
119. Park KC, Hayashi T, Tomiyasu H, Endo M, Dresselhaus MS. 2004. Progressive and invasive functionalization of carbon nanotube sidewalls by diluted nitric acid under supercritical conditions. J. Mater. Chem. 15:407-11
120. Wagner HD, Lourie O, Feldman Y, Tenne R. 1998. Stress-induced fragmentation of multiwall carbon nanotubes in a polymer matrix. Appl. Phys. Lett. 72:188-90
121. Pan ZW, Xie SS, Lu L, Chang BH, Sun LF, et al. 1998. Tensile tests of ropes of very long aligned multiwall carbon nanotubes. Appl. Phys. Lett. 74:3152-54
122. Walters DA, Ericson LM, Casavant MJ, Liu J, Colbert DT, et al. 1999. Elastic strain of freely suspended single-wall carbon nanotube ropes. Appl. Phys. Lett. 74:3803-5
123. Thess A, Lee R, Nikolaev P, Dai H, Petit P, et al. 1996. Crystalline ropes of metallic carbon nanotubes. Science 273:483-87
124. Yu M-F, Files BS, Arepalli S, Ruoff RS. 2000. Tensile loading of ropes of single wall canbon nanotubes and their mechanical properties. Phys. Rev. Lett. 84:5552-55
125. Li C, Ruoff RS, Chou T-W. 2005. Modeling of carbon nanotube clamping in tensile tests. Compos. Sci. Technol. 65:2407-15
126. Li F, Cheng HM, Bai S, Su G, Dresselhaus MS. 2000. Tensile strength of single-walled carbon nanotubes directly measured from their macroscopic ropes. Appl. Phys. Lett. 77:3161-63
127. Cheng HM, Li F, SunX, Brown SDM, Pimenta MA, et al. 1998. Bulk morphology and diameter distribution of single-walled carbon nanotubes synthesized by catalytic decomposition of hydrocarbons. Chem. Phys. Lett. 289:602-10
128. Cooper CA, Cohen SR, Barber AH, Wagner HD. 2002. Detachment of nanotubes from a polymer matrix. Appl. Phys. Lett. 81:3873-75
129. Li Y, Wang K, Wei J, Gu Z, Wang Z, et al. 2005. Tensile properties of long aligned double-walled carbon nanotube strands. Carbon 43:31-35
130. Jiang K, Li Q, Fan S. 2002. Spinning continuous carbon nanotube yarns. Nature 419:801
131. Zhang M, Atkinson KR, Baughman RH. 2002. Multifunctional carbon nanotube yarns by downsizing an ancient technology. Science 306:1358-61
132. Ericson LM, Fan H, Peng H, Davis VA, Zhou W, et al. 2004. Macroscopic, neat, single-walled carbon nanotube fibers. Science 305:1447-50
133. Yu M-F, Lourie O, Dyer MJ, Moloni K, Kelly TF, Ruoff RS. 2000. Strength and breaking mechanism of multiwalled carbon nanotubes under tensile load. Science 287:637-40
134. Colbert DT, Zhang J, McClure SM, Nikolaev P, Chen Z, et al. 1994. Growth and sintering of fullerene nanotubes. Science 266:1218-22
135. Yu M-F, Ruoff RS, Yakobson BI. 2001. Controlled sliding and pullout of nested shells in individual multiwalled carbon nanotubes. J. Phys. Chem. B 104:8764-67
136. Demczyk BG, Wang YM, Cumings J, Hetman M, Han W, et al. 2002. Direct mechanical measurement of the tensile strength and elastic modulus of multiwalled carbon nanotubes. Mater. Sci. Eng. A 334:173-78
137. Redlich P, Loeffler J, Ajayan PM, Bill J, Aldinger F, Ruhle M. 1996. B-C-N nanotubes and boron doping of carbon nanotubes. Chem. Phys. Lett. 260:465-70
138. Endo M, Muramatsu H, Hayashi T, Kim Y-A, Van Lier G, et al. 2005. Atomic nanotube welders: boron interstitials triggering connections in double-walled carbon nanotubes. Nano Lett. 5:1099-105
139. Ding W, Calabri L, Kohlhaas KM, Chen X, Dikin DA, Ruoff RS. 2006. Modulus, fracture strength, and brittle vs plastic response of the outer shell of arc-grown multi-walled carbon nanotubes. Exp. Mech. In press
140. Barber AH, Andrews R, Schadler LS, Wagner HD. 2005. On the tensile strength distribution of multiwalled carbon nanotubes. Appl. Phys. Lett. 87:203106
141. Barber AH, Kaplan-Ashiri I, Cohen SR, Tenne R, Wagner HD. 2005. Stochastic strength of nanotubes: an appraisal of available data. Compos. Sci. Technol. 65:2380-84
142. 2 nanotubes under axial tension and compression. Proc. Natl. Acad. Sci. USA 103:523-28
143. 2 nanotubes. J. Mater. Res. 19:454-59
144. Hong BH, Small JP, Purewal MS, Mullokandov A, Sfeir MY, et al. 2005. Extracting subnanometer single shells from ultralong multiwalled carbon nanotubes. Proc. Natl. Acad. Sci. USA 102:14155-58
145. Hong BH, Lee JY, Beetz T, Zhu Y, Kim P, Kim KS. 2005. Quasi-continuous growth of ultralong carbon nanotube arrays. J. Am. Chem. Soc. 127:15336-37
146. Troiani HE, Miki-Yoshida M, Camacho-Bragado GA, Marques MAL, Rubio A, et al. 2003. Direct observation of the mechanical properties of single-walled carbon nanotubes and their junctions at the atomic level. Nano Lett. 3:751-55
147. Yakobson BI, Cambell MP, Brabec CJ, Bernholc J. 1997. High strain rate fracture and C-chain unraveling in carbon nanotubes. Comput. Mater. Sci. 8:341-48
148. Bozovic D, Bockrath M, Hafner JH, Lieber CM, Park H, Tinkham M. 2003. Plastic deformations in mechanically strained single-walled carbon nanotubes. Phys. Rev. 567:033407
149. Huang JY, Chen S, Wang ZQ, Kemp K, Wang YM, et al. 2006. Superplastic carbon nanotubes: Conditions have been discovered that allow extensive deformation of rigid single-walled nanotubes. Nature 439:281
150. Fan Y, Burghard M, Kern K. 2002. Chemical defect decoration of carbon nanotubes. Adv. Mater. 14:130-33
151. Banhart F. 1999. Irradiation effects in carbon nanostructures. Rep. Prog. Phys. 62:1181-221
152. Bernholc J, Brenner D, Nardelli MB, Meunier V, Roland C. 2002. Mechanical and electrical properties of nanotubes. Annu. Rev. Mater. Res. 32:347-75
153. Qian D, Wagner GJ, Liu WK, Yu M-F, Ruoff RS. 2002. Mechanics of carbon nanotubes. Appl. Mech. Rev. 55:495-533
154. Sinnott SB. 2002. Chemical functionalization of carbon nanotubes. 2002. J. Nanosci. Nanotechnol. 2:113-23
155. Tasis D, Tagmatarchis N, Bianco A, Prato M. 2006. Chemistry of carbon nanotubes. Chem. Rev. 106:1105-36
156. Terrones M. 2004. Carbon nanotubes: synthesis and properties, electronic devices and other emerging applications. Int. Mater. Rev. 49:325-77