Soon after the discovery of carbon nanotubes, it was realized that the theoretically predicted mechanical properties of these interesting structures–including high strength, high stiffness, low density and structural perfection–could make them ideal for a wealth of technological applications. The experimental verification, and in some cases refutation, of these predictions, along with a number of computer simulation methods applied to their modeling, has led over the past decade to an improved but by no means complete understanding of the mechanics of carbon nanotubes. We review the theoretical predictions and discuss the experimental techniques that are most often used for the challenging tasks of visualizing and manipulating these tiny structures. We also outline the computational approaches that have been taken, including ab initio quantum mechanical simulations, classical molecular dynamics, and continuum models. The development of multiscale and multiphysics models and simulation tools naturally arises as a result of the link between basic scientific research and engineering application; while this issue is still under intensive study, we present here some of the approaches to this topic. Our concentration throughout is on the exploration of mechanical properties such as Young’s modulus, bending stiffness, buckling criteria, and tensile and compressive strengths. Finally, we discuss several examples of exciting applications that take advantage of these properties, including nanoropes, filled nanotubes, nanoelectromechanical systems, nanosensors, and nanotube-reinforced polymers. This review article cites 349 references.
1.
Iijima
S
(1991
), Helical microtubules of graphitic carbon
, Nature (London)
354
(6348
), 56
–58
.2.
Normile
D
(1999
), Technology-nanotubes generate full-color displays
, Science
286
(5447
), 2056
–2057
.3.
Choi
WB
, Chung
DS
, Kang
JH
, Kim
HY
, Jin
YW
, Han
IT
, Lee
YH
, Jung
JE
, Lee
NS
, Park
GS
, and Kim
JM
(1999
), Fully sealed, high-brightness carbon-nanotube field-emission display
, Appl. Phys. Lett.
75
(20
), 3129
–3131
.4.
Bachtold
A
, Hadley
P
, Nakanishi
T
, and Dekker
C
(2001
), Logic circuits with carbon nanotube transistors
, Science
294
(5545
), 1317
–1320
.5.
Derycke V, Martel R, Appenzeller J, and Avouris P (2001), Carbon nanotube inter- and intramolecular logic gates, Nano Letters 10.1021/n1015606f.
6.
Baughman
RH
, Cui
CX
, Zakhidov
AA
, Iqbal
Z
, Barisci
JN
, Spinks
GM
, Wallace
GG
, Mazzoldi
A
, De Rossi
D
, Rinzler
AG
, Jaschinski
O
, Roth
S
, and Kertesz
M
(1999
), Carbon nanotube actuators
, Science
284
(5418
), 1340
–1344
.7.
Harris PJF (1999), Carbon Nanotube and Related Structures: New Materials for the 21st Century, Cambridge University Press, Cambridge, UK.
8.
Dresselhaus MS, Dresselhaus G, and Eklund PC (1996), Science of Fullerenes and Carbon Nanotubes, Academic Press, San Diego.
9.
Dresselhaus
MS
and Avouris
P
(2001
), Introduction to carbon materials research, Carbon Nanotubes
80
, 1
–9
.10.
Brown TLL, Bursten BE, and Lemay HE (1999), Chemistry: The Central Science, 8th ed, Prentice Hall PTR.
11.
Yu
MF
, Yakobson
BI
, and Ruoff
RS
(2000
), Controlled sliding and pullout of nested shells in individual multiwalled carbon nanotubes
, J. Phys. Chem. B
104
(37
), 8764
–8767
.12.
Saito
R
, Fujita
M
, Dresselhaus
G
, and Dresselhaus
MS
(1992
), Electronic-structure of chiral graphene tubules
, Appl. Phys. Lett.
60
(18
), 2204
–2206
.13.
Dresselhaus
MS
, Dresselhaus
G
, and Saito
R
(1995
), Physics of carbon nanotubes
, Carbon
33
(7
), 883
–891
.14.
Fujita
M
, Saito
R
, Dresselhaus
G
, and Dresselhaus
MS
(1992
), Formation of general fullerenes by their projection on a honeycomb lattice
, Phys. Rev. B
45
(23
), 13834
–13836
.15.
Dresselhaus
MS
, Dresselhaus
G
, and Eklund
PC
(1993
), Fullerenes
, J. Mater. Res.
8
, 2054
2054
.16.
Yuklyosi K (ed), (1977), Encyclopedic Dictionary of Mathematics, MIT Press, Cambridge.
17.
Iijima
S
(1993
), Growth of carbon nanotubes
, Mater. Sci. Eng., B
19
(1–2
), 172
–180
.18.
Dravid
VP
, Lin
X
, Wang
Y
, Wang
XK
, Yee
A
, Ketterson
JB
, and Chang
RPH
(1993
), Buckytubes and derivatives-their growth and implications for buckyball formation
, Science
259
(5101
), 1601
–1604
.19.
Iijima
S
, Ichihashi
T
, and Ando
Y
(1992
), Pentagons, heptagons and negative curvature in graphite microtubule growth
, Nature (London)
356
(6372
), 776
–778
.20.
Saito
Y
, Yoshikawa
T
, Bandow
S
, Tomita
M
, and Hayashi
T
(1993
), Interlayer spacings in carbon nanotubes
, Phys. Rev. B
48
(3
), 1907
–1909
.21.
Zhou
O
, Fleming
RM
, Murphy
DW
, Chen
CH
, Haddon
RC
, Ramirez
AP
, and Glarum
SH
(1994
), Defects in carbon nanostructures
, Science
263
(5154
), 1744
–1747
.22.
Kiang
CH
, Endo
M
, Ajayan
PM
, Dresselhaus
G
, and Dresselhaus
MS
(1998
), Size effects in carbon nanotubes
, Phys. Rev. Lett.
81
(9
), 1869
–1872
.23.
Amelinckx
S
, Bernaerts
D
, Zhang
XB
, Vantendeloo
G
, and Vanlanduyt
J
(1995
), A structure model and growth-mechanism for multishell carbon nanotubes
, Science
267
(5202
), 1334
–1338
.24.
Lavin
JG
, Subramoney
S
, Ruoff
RS
, Berber
S
, and Tomanek
D
(2001
), Scrolls and nested tubes in multiwall carbon tubes
, Carbon
40
(7
), 1123
–1130
.25.
Ajayan
PM
and Ebbesen
TW
(1997
), Nanometer-size tubes of carbon
, Rep. Prog. Phys.
60
(10
), 1025
–1062
.26.
Amelinckx
S
, Lucas
A
, and Lambin
P
(1999
), Electron diffraction and microscopy of nanotubes
, Rep. Prog. Phys.
62
(11
), 1471
–1524
.27.
Lourie
O
and Wagner
HD
(1998
), Evaluation of young’s modulus of carbon nanotubes by micro-raman spectroscopy
, J. Mater. Res.
13
(9
), 2418
–2422
.28.
Yu
MF
, Files
BS
, Arepalli
S
, and Ruoff
RS
(2000
), Tensile loading of ropes of single wall carbon nanotubes and their mechanical properties
, Phys. Rev. Lett.
84
(24
), 5552
–5555
.29.
Yu
MF
, Lourie
O
, Dyer
MJ
, Moloni
K
, Kelly
TF
, and Ruoff
RS
(2000
), Strength and breaking mechanism of multiwalled carbon nanotubes under tensile load
, Science
287
(5453
), 637
–640
.30.
Overney
G
, Zhong
W
, and Tomanek
D
(1993
), Structural rigidity and low-frequency vibrational-modes of long carbon tubules
, Z. Phys. D: At., Mol. Clusters
27
(1
), 93
–96
.31.
Treacy
MMJ
, Ebbesen
TW
, and Gibson
JM
(1996
), Exceptionally high young’s modulus observed for individual carbon nanotubes
, Nature (London)
381
(6584
), 678
–680
.32.
Tibbetts
GG
(1984
), Why are carbon filaments tubular
, J. Cryst. Growth
66
(3
), 632
–638
.33.
Ruoff
RS
and Lorents
DC
(1995
), Mechanical and thermal-properties of carbon nanotubes
, Carbon
33
(7
), 925
–930
.34.
Robertson
DH
, Brenner
DW
, and Mintmire
JW
(1992
), Energetics of nanoscale graphitic tubules
, Phys. Rev. B
45
(21
), 12592
–12595
.35.
Brenner
DW
(1990
), Empirical potential for hydrocarbons for use in simulating the chemical vapor-deposition of diamond films
, Phys. Rev. B
42
(15
), 9458
–9471
.36.
Gao
GH
, Cagin
T
, and Goddard
WA
(1998
), Energetics, structure, mechanical and vibrational properties of single-walled carbon nanotubes
, Nanotechnology
9
(3
), 184
–191
.37.
Yakobson
BI
, Brabec
CJ
, and Bernholc
J
(1996
), Nanomechanics of carbon tubes: Instabilities beyond linear response
, Phys. Rev. Lett.
76
(14
), 2511
–2514
.38.
Timoshenko S and Gere J (1988), Theory of of Elastic Stability, McGraw-Hill, New York.
39.
Lu
JP
(1997
), Elastic properties of carbon nanotubes and nanoropes
, Phys. Rev. Lett.
79
(7
), 1297
–1300
.40.
Yao
N
and Lordi
V
(1998
), Young’s modulus of single-walled carbon nanotubes
, J. Appl. Phys.
84
(4
), 1939
–1943
.41.
Hernandez
E
, Goze
C
, Bernier
P
, and Rubio
A
(1998
), Elastic properties of c and bxcynz composite nanotubes
, Phys. Rev. Lett.
80
(20
), 4502
–4505
.42.
Zhou
X
, Zhou
JJ
, and Ou-Yang
ZC
(2000
), Strain energy and Young’s modulus of single-wall carbon nanotubes calculated from electronic energy-band theory
, Phys. Rev. B
62
(20
), 13692
–13696
.43.
Yakobson
BI
and Smalley
RE
(1997
), Fullerene nanotubes: C-1000000 and beyond
, Am. Sci.
85
(4
), 324
–337
.44.
Poncharal
P
, Wang
ZL
, Ugarte
D
, and de Heer
WA
(1999
), Electrostatic deflections and electromechanical resonances of carbon nanotubes
, Science
283
(5407
), 1513
–1516
.45.
Liu
JZ
, Zheng
Q
, and Jiang
Q
(2001
), Effect of a rippling mode on resonances of carbon nanotubes
, Phys. Rev. Lett.
86
(21
), 4843
–4846
.46.
Krishnan
A
, Dujardin
E
, Ebbessen
TW
, Yianilos
PN
, and Treacy
MMJ
(1998
), Young’s modulus of single-walled nanotubes
, Phys. Rev. B
58
(20
), 14013
–14019
.47.
Yu MF, Dyer MJ, Chen J, and Bray K (2001), Multiprobe nanomanipulation and functional assembly of nanomaterials inside a scanning electron microscope, Int Conf IEEE-NANO2001 (eds), Maui.
48.
Wong
EW
, Sheehan
PE
, and Lieber
CM
(1997
), Nanobeam mechanics: Elasticity, strength, and toughness of nanorods and nanotubes
, Science
277
(5334
), 1971
–1975
.49.
Salvetat
JP
, Kulik
AJ
, Bonard
JM
, Briggs
GAD
, Stockli
T
, Metenier
K
, Bonnamy
S
, Beguin
F
, Burnham
NA
, and Forro
L
(1999
), Elastic modulus of ordered and disordered multiwalled carbon nanotubes
, Adv. Mater.
11
(2
), 161
–165
.50.
Salvetat
JP
, Briggs
GAD
, Bonard
JM
, Bacsa
RR
, Kulik
AJ
, Stockli
T
, Burnham
NA
, and Forro
L
(1999
), Elastic and shear moduli of single-walled carbon nanotube ropes
, Phys. Rev. Lett.
82
(5
), 944
–947
.51.
Govindjee
S
and Sackman
JL
(1999
), On the use of continuum mechanics to estimate the properties of nanotubes
, Solid State Commun.
110
(4
), 227
–230
.52.
Harik
VM
(2001
), Ranges of applicability for the continuum-beam model in the mechanics of carbon-nanotubes and nanorods
, Solid State Commun.
120
, 331
–335
.53.
Harik VM (2001), Ranges of applicability for the continuum-beam model in the constitutive analysis of carbon-nanotubes: Nanotubes or nano-beams?, in NASA/CR-2001-211013.
54.
Ru
CQ
(2000
), Effect of van der waals forces on axial buckling of a double-walled carbon nanotube
, J. Appl. Phys.
87
(10
), 7227
–7231
.55.
Ru
CQ
(2000
), Effective bending stiffness of carbon nanotubes
, Phys. Rev. B
62
(15
), 9973
–9976
.56.
Ru
CQ
(2000
), Column buckling of multiwalled carbon nanotubes with interlayer radial displacements
, Phys. Rev. B
62
(24
), 16962
–16967
.57.
Ru
CQ
(2001
), Degraded axial buckling strain of multiwalled carbon nanotubes due to interlayer slips
, J. Appl. Phys.
89
(6
), 3426
–3433
.58.
Ru
CQ
(2001
), Axially compressed buckling of a doublewalled carbon nanotube embedded in an elastic medium
, J. Mech. Phys. Solids
49
(6
), 1265
–1279
.59.
Ru
CQ
(2000
), Elastic buckling of single-walled carbon nanotube ropes under high pressure
, Phys. Rev. B
62
(15
), 10405
–10408
.60.
Bernholc
J
, Brabec
C
, Nardelli
MB
, Maiti
A
, Roland
C
, and Yakobson
BI
(1998
), Theory of growth and mechanical properties of nanotubes
, Appl. Phys. A: Mater. Sci. Process.
67
(1
), 39
–46
.61.
Yakobson BI and Avouris P (2001), Mechanical properties of carbon nanotubes, Carbon Nanotubes 287–327.
62.
Qian D, Liu WK, and Ruoff RS (2002), Bent and kinked multi-shell carbon nanotubes-treating the interlayer potential more realistically, 43rd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conf, Denver CO.
63.
Iijima
S
, Brabec
C
, Maiti
A
, and Bernholc
J
(1996
), Structural flexibility of carbon nanotubes
, J. Chem. Phys.
104
(5
), 2089
–2092
.64.
Ruoff
RS
, Lorents
DC
, Laduca
R
, Awadalla
S
, Weathersby
S
, Parvin
K
, and Subramoney
S
(1995
), Proc. Electrochem. Soc.
95–10
, 557
–562
.65.
Subramoney
S
, Ruoff
RS
, Laduca
R
, Awadalla
S
, and Parvin
K
(1995
), Proc. Electrochem. Soc.
95-10
, 563
–569
.66.
Falvo
MR
, Clary
GJ
, Taylor
RM
, Chi
V
, Brooks
FP
, Washburn
S
, and Superfine
R
(1997
), Bending and buckling of carbon nanotubes under large strain
, Nature (London)
389
(6651
), 582
–584
.67.
Hertel
T
, Martel
R
, and Avouris
P
(1998
), Manipulation of individual carbon nanotubes and their interaction with surfaces
, J. Phys. Chem. B
102
(6
), 910
–915
.68.
Lourie
O
, Cox
DM
, and Wagner
HD
(1998
), Buckling and collapse of embedded carbon nanotubes
, Phys. Rev. Lett.
81
(8
), 1638
–1641
.69.
Ruoff
RS
, Tersoff
J
, Lorents
DC
, Subramoney
S
, and Chan
B
(1993
), Radial deformation of carbon nanotubes by van-der-waals forces
, Nature (London)
364
(6437
), 514
–516
.70.
Tersoff
J
and Ruoff
RS
(1994
), Structural-properties of a carbon-nanotube crystal
, Phys. Rev. Lett.
73
(5
), 676
–679
.71.
Lopez
MJ
, Rubio
A
, Alonso
JA
, Qin
LC
, and Iijima
S
(2001
), Novel polygonized single-wall carbon nanotube bundles, Phys. Rev. Lett.
86
(14
), 3056
–3059
.72.
Chopra
NG
, Benedict
LX
, Crespi
VH
, Cohen
ML
, Louie
SG
, and Zettl
A
(1995
), Fully collapsed carbon nanotubes
, Nature (London)
377
(6545
), 135
–138
.73.
Benedict
LX
, Chopra
NG
, Cohen
ML
, Zettl
A
, Louie
SG
, and Crespi
VH
(1998
), Microscopic determination of the interlayer binding energy in graphite
, Chem. Phys. Lett.
286
(5–6
), 490
–496
.74.
Hertel
T
, Walkup
RE
, and Avouris
P
(1998
), Deformation of carbon nanotubes by surface van der waals forces
, Phys. Rev. B
58
(20
), 13870
–13873
.75.
Avouris
P
, Hertel
T
, Martel
R
, Schmidt
T
, Shea
HR
, and Walkup
RE
(1999
), Carbon nanotubes: Nanomechanics, manipulation, and electronic devices
, Appl. Surf. Sci.
141
(3–4
), 201
–209
.76.
Yu
MF
, Dyer
MJ
, and Ruoff
RS
(2001
), Structure and mechanical flexibility of carbon nanotube ribbons: An atomic-force microscopy study
, J. Appl. Phys.
89
(8
), 4554
–4557
.77.
Yu
MF
, Kowalewski
T
, and Ruoff
RS
(2001
), Structural analysis of collapsed, and twisted and collapsed, multiwalled carbon nanotubes by atomic force microscopy
, Phys. Rev. Lett.
86
(1
), 87
–90
.78.
Lordi
V
and Yao
N
(1998
), Radial compression and controlled cutting of carbon nanotubes
, J. Chem. Phys.
109
(6
), 2509
–2512
.79.
Shen
WD
, Jiang
B
, Han
BS
, and Xie
SS
(2000
), Investigation of the radial compression of carbon nanotubes with a scanning probe microscope
, Phys. Rev. Lett.
84
(16
), 3634
–3637
.80.
Yu
MF
, Kowalewski
T
, and Ruoff
RS
(2000
), Investigation of the radial deformability of individual carbon nanotubes under controlled indentation force
, Phys. Rev. Lett.
85
(7
), 1456
–1459
.81.
Chesnokov
SA
, Nalimova
VA
, Rinzler
AG
, Smalley
RE
, and Fischer
JE
(1999
), Mechanical energy storage in carbon nanotube springs
, Phys. Rev. Lett.
82
(2
), 343
–346
.82.
Tang
J
, Qin
LC
, Sasaki
T
, Yudasaka
M
, Matsushita
A
, and Iijima
S
(2000
), Compressibility and polygonization of single-walled carbon nanotubes under hydrostatic pressure
, Phys. Rev. Lett.
85
(9
), 1887
–1889
.83.
Yu
MF
, Dyer
MJ
, Chen
J
, Qian
D
, Liu
WK
, and Ruoff
RS
(2001
), Locked twist in multi-walled carbon nanotube ribbons
, Phys. Rev. B
64
, 24 1403
24 1403
, 1–4.84.
Ebbesen
TW
and Ajayan
PM
(1992
), Large-scale synthesis of carbon nanotubes
, Nature (London)
358
(6383
), 220
–222
.85.
Iijima
S
, Ajayan
PM
, and Ichihashi
T
(1992
), Growth-model for carbon nanotubes
, Phys. Rev. Lett.
69
(21
), 3100
–3103
.86.
Thess
A
, Lee
R
, Nikolaev
P
, Dai
HJ
, Petit
P
, Robert
J
, Xu
CH
, Lee
YH
, Kim
SG
, Rinzler
AG
, Colbert
DT
, Scuseria
GE
, Tomanek
D
, Fischer
JE
, and Smalley
RE
(1996
), Crystalline ropes of metallic carbon nanotubes
, Science
273
(5274
), 483
–487
.87.
Guo
T
, Nikolaev
P
, Thess
A
, Colbert
DT
, and Smalley
RE
(1995
), Catalytic growth of single-walled nanotubes by laser vaporization
, Chem. Phys. Lett.
243
(1–2
), 49
–54
.88.
Kong
J
, Soh
HT
, Cassell
AM
, Quate
CF
, and Dai
HJ
(1998
), Synthesis of individual single-walled carbon nanotubes on patterned silicon wafers
, Nature (London)
395
(6705
), 878
–881
.89.
Cassell
AM
, Raymakers
JA
, Kong
J
, and Dai
HJ
(1999
), Large scale cvd synthesis of single-walled carbon nanotubes
, Journal of Physical Chemistry B.
103
(31
), 6484
–6492
.90.
Li
WZ
, Xie
SS
, Qian
LX
, Chang
BH
, Zou
BS
, Zhou
WY
, Zhao
RA
, and Wang
G
(1996
), Large-scale synthesis of aligned carbon nanotubes
, Science
274
(5293
), 1701
–1703
.91.
Dal
HJ
, Rinzler
AG
, Nikolaev
P
, Thess
A
, Colbert
DT
, and Smalley
RE
(1996
), Single-wall nanotubes produced by metal-catalyzed disproportionation of carbon monoxide
, Chem. Phys. Lett.
260
(3–4
), 471
–475
.92.
Nardelli
MB
, Yakobson
BI
, and Bernholc
J
(1998
), Brittle and ductile behavior in carbon nanotubes
, Phys. Rev. Lett.
81
(21
), 4656
–4659
.93.
Walters
DA
, Ericson
LM
, Casavant
MJ
, Liu
J
, Colbert
DT
, Smith
KA
, and Smalley
RE
(1999
), Elastic strain of freely suspended single-wall carbon nanotube ropes
, Appl. Phys. Lett.
74
(25
), 3803
–3805
.94.
Pan
ZW
, Xie
SS
, Lu
L
, Chang
BH
, Sun
LF
, Zhou
WY
, Wang
G
, and Zhang
DL
(1999
), Tensile tests of ropes of very long aligned multiwall carbon nanotubes
, Appl. Phys. Lett.
74
(21
), 3152
–3154
.95.
Wagner
HD
, Lourie
O
, Feldman
Y
, and Tenne
R
(1998
), Stress-induced fragmentation of multiwall carbon nanotubes in a polymer matrix
, Appl. Phys. Lett.
72
(2
), 188
–190
.96.
Li
F
, Cheng
HM
, Bai
S
, Su
G
, and Dresselhaus
MS
(2000
), Tensile strength of single-walled carbon nanotubes directly measured from their macroscopic ropes
, Appl. Phys. Lett.
77
(20
), 3161
–3163
.97.
Yakobson
BI
, Campbell
MP
, Brabec
CJ
, and Bernholc
J
(1997
), High strain rate fracture and c-chain unraveling in carbon nanotubes
, Comput. Mater. Sci.
8
(4
), 341
–348
.98.
Belytschko T, Xiao SP, Schatz GC, and Ruoff RS (2001), Simulation of the fracture of nanotubes, Phys. Rev. B (accepted for publication).
99.
Yakobson BI 1997, in Dynamic topology and yield strength of carbon nanotubes, Recent Advances in the Chemistry and Physics of Fullerenes and Related Materials, RS Ruoff and KM Kadish (eds), Electrochem Soc, Pennington NJ, 549–560.
100.
Nardelli
MB
, Yakobson
BI
, and Bernholc
J
(1998
), Mechanism of strain release in carbon nanotubes
, Phys. Rev. B
57
(8
), R4277–R4280
R4277–R4280
.101.
Srivastava
D
, Menon
M
, and Cho
KJ
(1999
), Nanoplasticity of single-wall carbon nanotubes under uniaxial compression
, Phys. Rev. Lett.
83
(15
), 2973
–2976
.102.
Wei
CY
, Srivastava
D
, and Cho
KJ
(2002
), Molecular dynamics study of temperature dependent plastic collapse of carbon nanotubes under axial compression, Comput Model Eng Sci
3
, 255
255
.103.
Wei CY, Srivastava D, and Cho KJ (2003), Temperature and strain-rate dependent plastic deformation of carbon nanotubes, Special Issue on Nanotechnology, Appl Mech Rev (submitted for publication).
104.
Yakobson
BI
(1998
), Mechanical relaxation and “intramolecular plasticity” in carbon nanotubes
, Appl. Phys. Lett.
72
(8
), 918
–920
.105.
Zhang
PH
, Lammert
PE
, and Crespi
VH
(1998
), Plastic deformations of carbon nanotubes
, Phys. Rev. Lett.
81
(24
), 5346
–5349
.106.
Zhang
PH
and Crespi
VH
(1999
), Nucleation of carbon nanotubes without pentagonal rings
, Phys. Rev. Lett.
83
(9
), 1791
–1794
.107.
Bockrath
M
, Cobden
DH
, McEuen
PL
, Chopra
NG
, Zettl
A
, Thess
A
, and Smalley
RE
(1997
), Single-electron transport in ropes of carbon nanotubes
, Science
275
(5308
), 1922
–1925
.108.
Cumings
J
and Zettl
A
(2000
), Low-friction nanoscale linear bearing realized from multiwall carbon nanotubes
, Science
289
(5479
), 602
–604
.109.
Kelly BT (1981), Physics of Graphite, Applied Science, London.
110.
Ausman KD and Ruoff RS (2001), personal communication.
111.
Yakobson BI (2001), personal communication.
112.
Geohegan
DB
, Schittenhelm
H
, Fan
X
, Pennycook
SJ
, Puretzky
AA
, Guillorn
MA
, Blom
DA
, and Joy
DC
(2001
), Condensed phase growth of single-wall carbon nanotubes from laser annealed nanoparticulates
, Appl. Phys. Lett.
78
(21
), 3307
–3309
.113.
Piner RD and Ruoff RS (2001), personal communication.
114.
Born M and Huang K (1954), Dynamical Theory of Crystal Lattices, Oxford Univ Press, Oxford.
115.
Keating
PN
(1966
), Theory of 3rd-order elastic constants of diamond-like crystals
, Phys. Rev.
149
(2
), 674
–679
.116.
Keating
PN
(1966
), Effect of invariance requirements on elastic strain energy of crystals with application to diamond structure
, Phys. Rev.
145
(2
), 637
–645
.117.
Keating
PN
(1967
), On sufficiency of born-huang relations
, Phys. Lett. A
25
(7
), 496
–497
.118.
Keating
PN
(1968
), Relationship between macroscopic and microscopic theory of crystal elasticity. 2. Nonprimitive crystals
, Phys. Rev.
169
(3
), 758
–766
.119.
Brugger
K
(1964
), Thermodynamic definition of higher order elastic coefficients
, Phys. Rev.
133
(6A
), A1611
A1611
.120.
Martin
JW
(1975
), Many-body forces in metals and brugger elastic-constants
, J. Phys. C
8
(18
), 2837
–2857
.121.
Martin
JW
(1975
), Many-body forces in solids and brugger elastic-constants. 2. Inner elastic-constants
, J. Phys. C
8
(18
), 2858
–2868
.122.
Martin
JW
(1975
), Many-body forces in solids-elastic-constants of diamond-type crystals
, J. Phys. C
8
(18
), 2869
–2888
.123.
Daw
MS
and Baskes
MI
(1984
), Embedded-atom method-derivation and application to impurities, surfaces, and other defects in metals
, Phys. Rev. B
29
(12
), 6443
–6453
.124.
Daw
MS
, Foiles
SM
, and Baskes
MI
(1993
), The embedded-atom method-A review of theory and applications
, Mater. Sci. Rep.
9
(7–8
), 251
–310
.125.
Tadmor EB, Ortiz M, and Phillips R (1996), Quasicontinuum analysis of defects in solids, Philosophical Magazine a-Physics of Condensed Matter Structure Defects and Mechanical Properties 73(6), 1529–1563.
126.
Tadmor
EB
, Phillips
R
, and Ortiz
M
(1996
), Mixed atomistic and continuum models of deformation in solids
, Langmuir
12
(19
), 4529
–4534
.127.
Friesecke
G
and James
RD
(2000
), A scheme for the passage from atomic to continuum theory for thin films, nanotubes and nanorods
, J. Mech. Phys. Solids
48
(6–7
), 1519
–1540
.128.
Belytschko T, Liu WK, and Moran B (2000), Nonlinear Finite Elements for Continua and Structures, John Wiley & Sons.
129.
Marsden JE and Hughes TJR (1983), Mathematical Foundations of Elasticity, Prentice-Hall, Englewood Cliffs NJ.
130.
Malvern LE (1969), Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, Englewood Cliffs NJ.
131.
Milstein F (1982), Crystal elasticity, Mechanics of Solids, MJ Sewell (ed), Pergamon Press, Oxford.
132.
Ericksen JL (1984), The cauchy-born hypothesis for crystals, Phase Transformations and Material Instabilities in Solids, M Gurtin (ed), Academic Press, New York, 61–77.
133.
Tersoff
J
(1986
), New empirical-model for the structural-properties of silicon
, Phys. Rev. Lett.
56
(6
), 632
–635
.134.
Tersoff
J
(1988
), New empirical-approach for the structure and energy of covalent systems
, Phys. Rev. B
37
(12
), 6991
–7000
.135.
Tersoff
J
(1988
), Empirical interatomic potential for carbon, with applications to amorphous-carbon
, Phys. Rev. Lett.
61
(25
), 2879
–2882
.136.
Tersoff
J
(1989
), Modeling solid-state chemistry-interatomic potentials for multicomponent systems
, Phys. Rev. B
39
(8
), 5566
–5568
.137.
Green
AE
and Rivlin
RS
(1964
), Multipolar continuum mechanics
, Arch. Ration. Mech. Anal.
17
, 113
–147
.138.
Cousins
CSG
(1978
), Inner elasticity
, J. Phys. C
11
(24
), 4867
–4879
.139.
Zhang P, Huang Y, Geubelle PH, and Hwang KC (2002), On the continuum modeling of carbon nanotubes, Acta Mech. Sin. (in press).
140.
Zhang P, Huang Y, Geubelle PH, Klein P, and Hwang KC (2002), The elastic modulus of single-wall carbon nanotubes: A continuum analysis incorporating interatomic potentials, Int. J. Solids Struct. (in press).
141.
Zhang P, Huang Y, Gao H, and Hwang KC (2002), Fracture nucleation in single-wall carbon nanotubes under tension: A continuum analysis incorporating interatomic potentials, ASME J. Appl. Mech. (in press).
142.
Wiesendanger R, (1994), Scanning Probe Microscopy and Spectroscopy: Methods and Applications, Cambridge Univ Press, Oxford.
143.
Binnig
G
and Quate
CF
(1986
), Atomic force microscope
, Phys. Rev. Lett.
56
, 930
–933
.144.
Cumings
J
, Collins
PG
, and Zettl
A
(2000
), Materials-Peeling and sharpening multiwall nanotubes
, Nature (London)
406
(6796
), 586
–586
.145.
Ohno K, Esfarjani K, and Kawazoe Y (1999), Computational Material Science: From ab initio to Monte Carlo Methods, Solid state sciences, M Cardona et al. (eds), Springer.
146.
Dirac PAM (1958), The Principles of Quantum Mechanics, Oxford Univ Press, London.
147.
Landau LD and Lifshitz EM (1965), Quantum Mechanics: Non-Relativistic Theory, Pergamon, Oxford.
148.
Merzbacher E (1998), Quantum Mechanics, Wiley, New York.
149.
Messiah A (1961), Quantum Mechanics, North-Holland, Amsterdam.
150.
Schiff LI (1968), Quantum Mechanics, McGraw-Hill, New York.
151.
Fock
V
(1930
), Naherungsmethode zur losung des quantenmechanis-chen mehrkorperproblems
, Z. Phys.
61
, 126
126
.152.
Hartree
DR
(1928
), The wave mechanics of an atom with a non-coulomb central field, Part I, theory and methods
, Proc. Cambridge Philos. Soc.
24
, 89
89
.153.
Hartree
DR
(1932
–1933), A practical method for the numerical solution of differential equations
, Mem. and Proc. Manchester Literary and Phil. Soc.
77
, 91
91
.154.
Clementi
E
(2000
), Ab initio computations in atoms and molecules (reprinted from IBM J Res and Dev 9, 1965
), IBM J. Res. Dev.
44
(1–2
), 228
–245
.155.
Hohenberg
P
and Kohn
W
(1964
), Inhomogeneous electron gas
, Phys. Rev.
136
, 864
864
.156.
Kohn
W
and Sham
LJ
(1965
), Self-consistent equations including exchange and correlation effects
, Phys. Rev.
140
(4A
), 1133
1133
.157.
Perdew
JP
, McMullen
ER
, and Zunger
A
(1981
), Density-functional theory of the correlation-energy in atoms and ions-A simple analytic model and a challenge
, Phys. Rev. A
23
(6
), 2785
–2789
.158.
Perdew
JP
and Zunger
A
(1981
), Self-interaction correction to density-functional approximations for many-electron systems
, Phys. Rev. B
23
(10
), 5048
–5079
.159.
Slater
JC
, Wilson
TM
, and Wood
JH
(1969
), Comparison of several exchange potentials for electrons in cu+ ion
, Phys. Rev.
179
(1
), 28
–38
.160.
Moruzzi VJ and Sommers CB (1995), Calculated Electronic Properties of Ordered Alloys: A Handbook, World Scientific, Singapore.
161.
Payne
MC
, Teter
MP
, Allan
DC
, Arias
TA
, and Joannopoulos
JD
(1992
), Iterative minimization techniques for ab initio total-energy calculations–molecular-dynamics and conjugate gradients
, Rev. Mod. Phys.
64
(4
), 1045
–1097
.162.
Car
R
and Parrinello
M
(1985
), Unified approach for molecular-dynamics and density-functional theory
, Phys. Rev. Lett.
55
(22
), 2471
–2474
.163.
Slater
JC
and Koster
GF
(1954
), Wave functions for impurity levels
, Phy. Rev.
94
, 1498
1498
.164.
Harrison WA (1989), Electronic Structure and the Properties of Solids: The Physics of the Chemical Bond, Dover, New York.
165.
Matthew
W
, Foulkes
C
, and Haydock
R
(1989
), Tight-binding models and density-functional theory
, Phys. Rev. B
39
(17
), 12520
–12536
.166.
Xu
CH
, Wang
CZ
, Chan
CT
, and Ho
KM
(1992
), A transferable tight-binding potential for carbon
, J. Phys.: Condens. Matter
4
(28
), 6047
–6054
.167.
Mehl
MJ
and Papaconstantopoulos
DA
(1996
), Applications of a tight-binding total-energy method for transition and noble metals: Elastic constants, vacancies, and surfaces of monatomic metals
, Phys. Rev. B
54
(7
), 4519
–4530
.168.
Liu
F
(1995
), Self-consistent tight-binding method
, Phys. Rev. B
52
(15
), 10677
–10680
.169.
Porezag
D
, Frauenheim
T
, Kohler
T
, Seifert
G
, and Kaschner
R
(1995
), Construction of tight-binding-like potentials on the basis of density-functional theory–Application to carbon
, Phys. Rev. B
51
(19
), 12947
–12957
.170.
Taneda
A
, Esfarjani
K
, Li
ZQ
, and Kawazoe
Y
(1998
), Tight-binding parametrization of transition metal elements from lcao ab initio hamiltonians
, Comput. Mater. Sci.
9
(3–4
), 343
–347
.171.
Menon
M
and Subbaswamy
KR
(1991
), Universal parameter tight-binding molecular-dynamics–application to c-60
, Phys. Rev. Lett.
67
(25
), 3487
–3490
.172.
Sutton
AP
, Finnis
MW
, Pettifor
DG
, and Ohta
Y
(1988
), The tight-binding bond model
, J. Phys. C
21
(1
), 35
–66
.173.
Menon
M
and Subbaswamy
KR
(1997
), Nonorthogonal tight-binding molecular-dynamics scheme for silicon with improved transferability
, Phys. Rev. B
55
(15
), 9231
–9234
.174.
Haile JM (1992), Molecular Dynamics Simulation, Wiley Intersci.
175.
Rapaport DC (1995), The Art of Molecular Dynamics Simulation, Cambridge Univ Press.
176.
Frenkel D and Smit B (1996), Understanding molecular simulation: From algorithms to applications, Academic Press.
177.
Hockney RW, Eastwood JW (1989), Computer Simulation using Particles, IOP Publ, New York.
178.
Li
SF
and Liu
WK
(2002
), Meshfree and particle methods
, Appl. Mech. Rev.
55
(1
), 1
–34
.179.
Berendsen HJC and van Gunsteren WF (1986), Dynamics Simulation of Statistical Mechanical Systems, Vol 63, GPF Ciccotti and WG Hoover (eds), North Holland, Amsterdam, 493.
180.
Verlet
L
(1967
), Computer experiments on classical fluids. I. Thermodynamical properties of lennard-jones molecules
, Phys. Rev.
159
(1
), 98
98
.181.
Gray
SK
, Noid
DW
, and Sumpter
BG
(1994
), Symplectic integrators for large-scale molecular-dynamics simulations–A comparison of several explicit methods
, J. Chem. Phys.
101
(5
), 4062
–4072
.182.
Allinger
NL
(1977
), Conformational-analysis. 130. Mm2–Hydrocarbon force-field utilizing v1 and v2 torsional terms
, J. Am. Chem. Soc.
99
(25
), 8127
–8134
.183.
Allinger
NL
, Yuh
YH
, and Lii
JH
(1989
), Molecular mechanics–The mm3 force-field for hydrocarbons. 1
, J. Am. Chem. Soc.
111
(23
), 8551
–8566
.184.
Mayo
SL
, Olafson
BD
, and Goddard
WA
(1990
), Dreiding–A generic force-field for molecular simulations
, J. Phys. Chem.
94
(26
), 8897
–8909
.185.
Guo
YJ
, Karasawa
N
, and Goddard
WA
(1991
), Prediction of fullerene packing in c60 and c70 crystals
, Nature (London)
351
(6326
), 464
–467
.186.
Tuzun
RE
, Noid
DW
, Sumpter
BG
, and Merkle
RC
(1996
), Dynamics of fluid flow inside carbon nanotubes
, Nanotechnology
7
(3
), 241
–246
.187.
Tuzun
RE
, Noid
DW
, Sumpter
BG
, and Merkle
RC
(1997
), Dynamics of he/c-60 flow inside carbon nanotubes
, Nanotechnology
8
(3
), 112
–118
.188.
Abell
GC
(1985
), Empirical chemical pseudopotential theory of molecular and metallic bonding
, Phys. Rev. B
31
(10
), 6184
–6196
.189.
Brenner
DW
(2000
), The art and science of an analytic potential
, Phys. Status Solidi B
217
(1
), 23
–40
.190.
Nordlund
K
, Keinonen
J
, and Mattila
T
(1996
), Formation of ion irradiation induced small-scale defects on graphite surfaces
, Phys. Rev. Lett.
77
(4
), 699
–702
.191.
Brenner
DW
, Harrison
JA
, White
CT
, and Colton
RJ
(1991
), Molecular-dynamics simulations of the nanometer-scale mechanical-properties of compressed buckminsterfullerene
, Thin Solid Films
206
(1–2
), 220
–223
.192.
Robertson
DH
, Brenner
DW
, and White
CT
(1992
), On the way to fullerenes–molecular-dynamics study of the curling and closure of graphite ribbons
, J. Phys. Chem.
96
(15
), 6133
–6135
.193.
Robertson
DH
, Brenner
DW
, and White
CT
(1995
), Temperature-dependent fusion of colliding c-60 fullerenes from molecular-dynamics simulations
, J. Phys. Chem.
99
(43
), 15721
–15724
.194.
Sinnott
SB
, Colton
RJ
, White
CT
, and Brenner
DW
(1994
), Surface patterning by atomically-controlled chemical forces–molecular-dynamics simulations
, Surf. Sci.
316
(1–2
), L1055–L1060
L1055–L1060
.195.
Harrison
JA
, White
CT
, Colton
RJ
, and Brenner
DW
(1992
), Nano-scale investigation of indentation, adhesion and fracture of diamond (111) surfaces
, Surf. Sci.
271
(1–2
), 57
–67
.196.
Harrison
JA
, White
CT
, Colton
RJ
, and Brenner
DW
(1992
), Molecular-dynamics simulations of atomic-scale friction of diamond surfaces
, Phys. Rev. B
46
(15
), 9700
–9708
.197.
Harrison
JA
, Colton
RJ
, White
CT
, and Brenner
DW
(1993
), Effect of atomic-scale surface-roughness on friction–a molecular-dynamics study of diamond surfaces
, Wear
168
(1–2
), 127
–133
.198.
Harrison
JA
, White
CT
, Colton
RJ
, and Brenner
DW
(1993
), Effects of chemically-bound, flexible hydrocarbon species on the frictional-properties of diamond surfaces
, J. Phys. Chem.
97
(25
), 6573
–6576
.199.
Harrison
JA
, White
CT
, Colton
RJ
, and Brenner
DW
(1993
), Atomistic simulations of friction at sliding diamond interfaces
, MRS Bull.
18
(5
), 50
–53
.200.
Harrison
JA
and Brenner
DW
(1994
), Simulated tribochemistry–An atomic-scale view of the wear of diamond
, J. Am. Chem. Soc.
116
(23
), 10399
–10402
.201.
Harrison
JA
, White
CT
, Colton
RJ
, and Brenner
DW
(1995
), Investigation of the atomic-scale friction and energy-dissipation in diamond using molecular-dynamics
, Thin Solid Films
260
(2
), 205
–211
.202.
Tupper
KJ
and Brenner
DW
(1993
), Atomistic simulations of frictional wear in self-assembled monolayers
, Abstr. Pap. - Am. Chem. Soc.
206
, 172–POLY
172–POLY
.203.
Tupper
KJ
and Brenner
DW
(1993
), Molecular-dynamics simulations of interfacial dynamics in self-assembled monolayers
, Abstr. Pap. - Am. Chem. Soc.
206
, 72
72
.204.
Tupper
KJ
and Brenner
DW
(1994
), Molecular-dynamics simulations of friction in self-assembled monolayers
, Thin Solid Films
253
(1–2
), 185
–189
.205.
Brenner
DW
, Shenderova
O
, Harrison
JA
, Stuart
SJ
, Ni
B
, and Sinnott
SB
(2002
), A second-generation reactive empirical bond order (rebo) potential energy expression for hydrocarbons
, J. Phys.: Condens. Matter
14
(4
), 783
–802
.206.
Pettifor
DG
and Oleinik
II
(1999
), Analytic bond-order potentials beyond tersoff-brenner. Ii. Application to the hydrocarbons
, Phys. Rev. B
59
(13
), 8500
8500
.207.
Pettifor
DG
and Oleinik
II
(2000
), Bounded analytic bond-order potentials for sigma and pi bonds
, Phys. Rev. Lett.
84
(18
), 4124
–4127
.208.
Jones
JE
(1924
), On the determination of molecular fields-i. From the variation of the viscosity of a gas with temperature
, Proc. Roy. Soc.
106
, 441
441
.209.
Jones
JE
(1924
), On the determination of molecular fields-ii. From the equation of state of a gas
, Proc. Roy. Soc.
106
, 463
463
.210.
Girifalco
LA
and Lad
RA
(1956
), Energy of cohesion, compressibility and the potential energy functions of the graphite system
, J. Chem. Phys.
25
(4
), 693
–697
.211.
Girifalco
LA
(1992
), Molecular-properties of c-60 in the gas and solid-phases
, J. Phys. Chem.
96
(2
), 858
–861
.212.
Wang
Y
, Tomanek
D
, and Bertsch
GF
(1991
), Stiffness of a solid composed of c60 clusters
, Phys. Rev. B
44
(12
), 6562
–6565
.213.
Qian
D
, Liu
WK
, and Ruoff
RS
(2001
), Mechanics of c60 in nanotubes
, J. Phys. Chem.
105
, 10753
–10758
.214.
Zhao
YX
and Spain
IL
(1989
), X-ray-diffraction data for graphite to 20 gpa
, Phys. Rev. B
40
(2
), 993
–997
.215.
Hanfland
M
, Beister
H
, and Syassen
K
(1989
), Graphite under pressure–equation of state and 1st-order raman modes
, Phys. Rev. B
39
(17
), 12598
–12603
.216.
Boettger
JC
(1997
), All-electron full-potential calculation of the electronic band structure, elastic constants, and equation of state for graphite
, Phys. Rev. B
55
(17
), 11202
–11211
.217.
Girifalco
LA
, Hodak
M
, and Lee
RS
(2000
), Carbon nanotubes, buckyballs, ropes, and a universal graphitic potential
, Phys. Rev. B
62
(19
), 13104
–13110
.218.
Falvo
MR
, Clary
G
, Helser
A
, Paulson
S
, Taylor
RM
, Chi
V
, Brooks
FP
, Washburn
S
, and Superfine
R
(1998
), Nanomanipulation experiments exploring frictional and mechanical properties of carbon nanotubes
, Microsc. Microanal.
4
(5
), 504
–512
.219.
Falvo
MR
, Taylor
RM
, Helser
A
, Chi
V
, Brooks
FP
, Washburn
S
, and Superfine
R
(1999
), Nanometre-scale rolling and sliding of carbon nanotubes
, Nature (London)
397
(6716
), 236
–238
.220.
Falvo
MR
, Steele
J
, Taylor
RM
, and Superfine
R
(2000
), Evidence of commensurate contact and rolling motion: Afm manipulation studies of carbon nanotubes on hopg
, Tribol. Lett.
9
(1–2
), 73
–76
.221.
Falvo
MR
, Steele
J
, Taylor
RM
, and Superfine
R
(2000
), Gearlike rolling motion mediated by commensurate contact: Carbon nanotubes on hopg
, Phys. Rev. B
62
(16
), R10665–R10667
R10665–R10667
.222.
Schall
JD
and Brenner
DW
(2000
), Molecular dynamics simulations of carbon nanotube rolling and sliding on graphite
, Mol. Simul.
25
(1–2
), 73
–79
.223.
Buldum
A
and Lu
JP
(1999
), Atomic scale sliding and rolling of carbon nanotubes
, Phys. Rev. Lett.
83
(24
), 5050
–5053
.224.
Kolmogorov
AN
and Crespi
VH
(2000
), Smoothest bearings: Interlayer sliding in multiwalled carbon nanotubes
, Phys. Rev. Lett.
85
(22
), 4727
–4730
.225.
Shenoy
VB
, Miller
R
, Tadmor
EB
, Phillips
R
, and Ortiz
M
(1998
), Quasicontinuum models of interfacial structure and deformation
, Phys. Rev. Lett.
80
(4
), 742
–745
.226.
Miller
R
, Ortiz
M
, Phillips
R
, Shenoy
V
, and Tadmor
EB
(1998
), Quasicontinuum models of fracture and plasticity
, Eng. Fract. Mech.
61
(3–4
), 427
–444
.227.
Miller
R
, Tadmor
EB
, Phillips
R
, and Ortiz
M
(1998
), Quasicontinuum simulation of fracture at the atomic scale
, Modell. Simul. Mater. Sci. Eng.
6
(5
), 607
–638
.228.
Shenoy
VB
, Miller
R
, Tadmor
EB
, Rodney
D
, Phillips
R
, and Ortiz
M
(1999
), An adaptive finite element approach to atomic-scale mechanics–the quasicontinuum method
, J. Mech. Phys. Solids
47
(3
), 611
–642
.229.
Tadmor
EB
, Miller
R
, Phillips
R
, and Ortiz
M
(1999
), Nanoindentation and incipient plasticity
, J. Mater. Res.
14
(6
), 2233
–2250
.230.
Rodney
D
and Phillips
R
(1999
), Structure and strength of dislocation junctions: An atomic level analysis
, Phys. Rev. Lett.
82
(8
), 1704
–1707
.231.
Smith
GS
, Tadmor
EB
, and Kaxiras
E
(2000
), Multiscale simulation of loading and electrical resistance in silicon nanoindentation
, Phys. Rev. Lett.
84
(6
), 1260
–1263
.232.
Knap
J
and Ortiz
M
(2001
), An analysis of the quasicontinuum method
, J. Mech. Phys. Solids
49
(9
), 1899
–1923
.233.
Shin
CS
, Fivel
MC
, Rodney
D
, Phillips
R
, Shenoy
VB
, and Dupuy
L
(2001
), Formation and strength of dislocation junctions in fcc metals: A study by dislocation dynamics and atomistic simulations
, J. Phys. IV
11
(PR5
), 19
–26
.234.
Shenoy V, Shenoy V, and Phillips R 1999, Finite temperature quasicontinuum methods, Multiscale Modelling of Materials, N Ghoniem (ed), Mat Res Soc, Warrendale PA, 465–471.
235.
Arroyo M and Belytschko T (2002), An atomistic-based membrane for crystalline films one atom thick, J. Mech. Phys. Solids (in press).
236.
Liu
WK
and Chen
YJ
(1995
), Wavelet and multiple scale reproducing kernel methods
, Int. J. Numer. Methods Fluids
21
(10
), 901
–931
.237.
Liu
WK
, Jun
S
, and Zhang
YF
(1995
), Reproducing kernel particle methods
, Int. J. Numer. Methods Fluids
20
(8–9
), 1081
–1106
.238.
Liu
WK
, Jun
S
, Li
SF
, Adee
J
, and Belytschko
T
(1995
), Reproducing kernel particle methods for structural dynamics
, Int. J. Numer. Methods Eng.
38
(10
), 1655
–1679
.239.
Liu
WK
, Chen
YJ
, Uras
RA
, and Chang
CT
(1996
), Generalized multiple scale reproducing kernel particle methods
, Comput. Methods Appl. Mech. Eng.
139
(1–4
), 91
–157
.240.
Liu
WK
, Chen
Y
, Chang
CT
, and Belytschko
T
(1996
), Advances in multiple scale kernel particle methods
, Computational Mechanics
18
(2
), 73
–111
.241.
Liu
WK
, Jun
S
, Sihling
DT
, Chen
YJ
, and Hao
W
(1997
), Multiresolution reproducing kernel particle method for computational fluid dynamics
, Int. J. Numer. Methods Fluids
24
(12
), 1391
–1415
.242.
Liu
WK
, Li
SF
, and Belytschko
T
(1997
), Moving least-square reproducing kernel methods. 1. Methodology and convergence
, Comput. Methods Appl. Mech. Eng.
143
(1–2
), 113
–154
.243.
Chen JS and Liu WK (eds), (2000), Computational Mechanics, Vol 25, Springer-Verlag.
244.
Liu WK Belytshko T and Oden JT, (eds) (1996), Computer Methods in Applied Mechanics and Engineering, Vol 139, North-Holland Publ, Amsterdam.
245.
Odegard GM, Gates TS, Nicholson LM, and Wise KE (2001), Equivalent-continuum modeling of nano-structured materials, NASA Langley Res Center, NASA-2001-TM210863.
246.
Odegard GM, Harik VM, Wise KE, and Gates TS (2001), Constitutive modeling of nanotube-reinforced polymer composite systems, NASA Langley Res Center, NASA-2001-TM211044.
247.
Abraham
FF
, Broughton
JQ
, Bernstein
N
, and Kaxiras
E
(1998
), Spanning the continuum to quantum length scales in a dynamic simulation of brittle fracture
, Europhys. Lett.
44
(6
), 783
–787
.248.
Broughton
JQ
, Abraham
FF
, Bernstein
N
, and Kaxiras
E
(1999
), Concurrent coupling of length scales: Methodology and application
, Phys. Rev. B
60
(4
), 2391
–2403
.249.
Nakano
A
, Bachlechner
ME
, Kalia
RK
, Lidorikis
E
, Vashishta
P
, Voyiadjis
GZ
, Campbell
TJ
, Ogata
S
, and Shimojo
F
(2001
), Multiscale simulation of nanosystems
, Comput. Sci. Eng.
3
(4
), 56
–66
.250.
Rafii-Tabar
H
, Hua
L
, and Cross
M
(1998
), Multiscale numerical modelling of crack propagation in two-dimensional metal plate
, Mater. Sci. Technol.
14
(6
), 544
–548
.251.
Rafii-Tabar
H
, Hua
L
, and Cross
M
(1998
), A multi-scale atomistic-continuum modelling of crack propagation in a two-dimensional macroscopic plate
, J. Phys.: Condens. Matter
10
(11
), 2375
–2387
.252.
Rudd
RE
and Broughton
JQ
(1998
), Coarse-grained molecular dynamics and the atomic limit of finite elements
, Phys. Rev. B
58
(10
), R5893–R5896
R5893–R5896
.253.
Rudd
RE
and Broughton
JQ
(2000
), Concurrent coupling of length scales in solid state systems
, Phys. Status Solidi B
217
(1
), 251
–291
.254.
Liu
WK
, Zhang
Y
, and Ramirez
MR
(1991
), Multiple scale finite-element methods
, Int. J. Numer. Methods Eng.
32
(5
), 969
–990
.255.
Liu
WK
, Uras
RA
, and Chen
Y
(1997
), Enrichment of the finite element method with the reproducing kernel particle method
, ASME J. Appl. Mech.
64
(4
), 861
–870
.256.
Hao
S
, Liu
WK
, and Qian
D
(2000
), Localization-induced band and cohesive model
, ASME J. Appl. Mech.
67
(4
), 803
–812
.257.
Wagner
GJ
, Moes
N
, Liu
WK
, and Belytschko
T
(2001
), The extended finite element method for rigid particles in stokes flow
, Int. J. Numer. Methods Eng.
51
(3
), 293
–313
.258.
Wagner
GJ
and Liu
WK
(2001
), Hierarchical enrichment for bridging scales and mesh-free boundary conditions
, Int. J. Numer. Methods Eng.
50
(3
), 507
–524
.259.
Wagner GJ, Qian D, and Liu WK (2002), Coupling of atomistic and continuum simulations, Computational Mechanics Lab Research Report (02–04), Dept of Mech Eng, Northwestern Univ.
260.
Castello
GA
(1978
), Analytical investigation of wire rope
, Appl. Mech. Rev.
31
, 897
–900
.261.
Costello GA (1997), Theory of Wire Rope, second edition, Springer, New York.
262.
Qian D, Liu WK, and Ruoff RS (2002), Load transfer mechanism in nano-ropes, Computational Mechanics Lab Res Report (02-03), Dept of Mech Eng, Northwestern Univ.
263.
Ruoff RS, Qian D, Liu WK, Ding WQ, Chen XQ, and Dikin D (2002), What kind of carbon nanofiber is ideal for structural applications?, 43rd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conf, Denver CO.
264.
Pipes
BR
and Hubert
P
(2001
), Helical carbon nanotube arrays: Mechanical properties
, Compos. Sci. Technol.
62
(3
), 419
–428
.265.
Yu
MF
, Dyer
MJ
, Skidmore
GD
, Rohrs
HW
, Lu
XK
, Ausman
KD
, Von Ehr
JR
, and Ruoff
RS
(1999
), Three-dimensional manipulation of carbon nanotubes under a scanning electron microscope
, Nanotechnology
10
(3
), 244
–252
.266.
Ruoff
RS
, Lorents
DC
, Chan
B
, Malhotra
R
, and Subramoney
S
(1993
), Single-crystal metals encapsulated in carbon nanoparticles
, Science
259
(5093
), 346
–348
.267.
Tomita
M
, Saito
Y
, and Hayashi
T
(1993
), Lac2 encapsulated in graphite nano-particle
, Jpn. J. Appl. Phys., Part 2
32
(2B
), L280–L282
L280–L282
.268.
Seraphin
S
, Zhou
D
, Jiao
J
, Withers
JC
, and Loutfy
R
(1993
), Selective encapsulation of the carbides of yttrium and titanium into carbon nanoclusters
, Appl. Phys. Lett.
63
(15
), 2073
–2075
.269.
Seraphin
S
, Zhou
D
, Jiao
J
, Withers
JC
, and Loutfy
R
(1993
), Yttrium carbide in nanotubes
, Nature (London)
362
(6420
), 503
–503
.270.
Seraphin
S
, Zhou
D
, and Jiao
J
(1996
), Filling the carbon nanocages
, J. Appl. Phys.
80
(4
), 2097
–2104
.271.
Saito
Y
, Yoshikawa
T
, Okuda
M
, Ohkohchi
M
, Ando
Y
, Kasuya
A
, and Nishina
Y
(1993
), Synthesis and electron-beam incision of carbon nanocapsules encaging yc2
, Chem. Phys. Lett.
209
(1–2
), 72
–76
.272.
Saito
Y
, Yoshikawa
T
, Okuda
M
, Fujimoto
N
, Sumiyama
K
, Suzuki
K
, Kasuya
A
, and Nishina
Y
(1993
), Carbon nanocapsules encaging metals and carbides
, J. Phys. Chem. Solids
54
(12
), 1849
–1860
.273.
Saito
Y
and Yoshikawa
T
(1993
), Bamboo-shaped carbon tube filled partially with nickel
, J. Cryst. Growth
134
(1–2
), 154
–156
.274.
Saito
Y
, Okuda
M
, and Koyama
T
(1996
), Carbon nanocapsules and single-wall nanotubes formed by arc evaporation
, Surf. Rev. Lett.
3
(1
), 863
–867
.275.
Saito
Y
, Nishikubo
K
, Kawabata
K
, and Matsumoto
T
(1996
), Carbon nanocapsules and single-layered nanotubes produced with platinum-group metals (ru, rh, pd, os, ir, pt) by arc discharge
, J. Appl. Phys.
80
(5
), 3062
–3067
.276.
Saito
Y
(1996
), Carbon cages with nanospace inside: Fullerenes to nanocapsules
, Surf. Rev. Lett.
3
(1
), 819
–825
.277.
Saito
Y
(1995
), Nanoparticles and filled nanocapsules
, Carbon
33
(7
), 979
–988
.278.
McHenry
ME
, Majetich
SA
, Artman
JO
, Degraef
M
, and Staley
SW
(1994
), Superparamagnetism in carbon-coated co particles produced by the kratschmer carbon-arc process
, Phys. Rev. B
49
(16
), 11358
–11363
.279.
Majetich
SA
, Artman
JO
, McHenry
ME
, Nuhfer
NT
, and Staley
SW
(1993
), Preparation and properties of carbon-coated magnetic nano-crystallites
, Phys. Rev. B
48
(22
), 16845
–16848
.280.
Jiao
J
, Seraphin
S
, Wang
XK
, and Withers
JC
(1996
), Preparation and properties of ferromagnetic carbon-coated Fe, Co, and Ni nanoparticles
, J. Appl. Phys.
80
(1
), 103
–108
.281.
Diggs
B
, Zhou
A
, Silva
C
, Kirkpatrick
S
, Nuhfer
NT
, McHenry
ME
, Petasis
D
, Majetich
SA
, Brunett
B
, Artman
JO
, and Staley
SW
(1994
), Magnetic-properties of carbon-coated rare-earth carbide nanocrystallites produced by a carbon-arc method
, J. Appl. Phys.
75
(10
), 5879
–5881
.282.
Brunsman
EM
, Sutton
R
, Bortz
E
, Kirkpatrick
S
, Midelfort
K
, Williams
J
, Smith
P
, McHenry
ME
, Majetich
SA
, Artman
JO
, Degraef
M
, and Staley
SW
(1994
), Magnetic-properties of carbon-coated, ferromagnetic nanoparticles produced by a carbon-arc method
, J. Appl. Phys.
75
(10
), 5882
–5884
.283.
Funasaka
H
, Sugiyama
K
, Yamamoto
K
, and Takahashi
T
(1995
), Synthesis of actinide carbides encapsulated within carbon nanoparticles
, J. Appl. Phys.
78
(9
), 5320
–5324
.284.
Kikuchi
K
, Kobayashi
K
, Sueki
K
, Suzuki
S
, Nakahara
H
, Achiba
Y
, Tomura
K
, and Katada
M
(1994
), Encapsulation of radioactive gd-159 and tb-161 atoms in fullerene cages
, J. Am. Chem. Soc.
116
(21
), 9775
–9776
.285.
Burch
WM
, Sullivan
PJ
, and McLaren
CJ
(1986
), Technegas-a new ventilation agent for lung-scanning
, Nucl. Med. Commun.
7
(12
), 865
–865
.286.
Senden
TJ
, Moock
KH
, Gerald
JF
, Burch
WM
, Browitt
RJ
, Ling
CD
, and Heath
GA
(1997
), The physical and chemical nature of technegas
, J. Nucl. Med.
38
(8
), 1327
–1333
.287.
Ajayan
PM
and Iijima
S
(1993
), Capillarity-induced filling of carbon nanotubes
, Nature (London)
361
(6410
), 333
–334
.288.
Ajayan
PM
, Ebbesen
TW
, Ichihashi
T
, Iijima
S
, Tanigaki
K
, and Hiura
H
(1993
), Opening carbon nanotubes with oxygen and implications for filling
, Nature (London)
362
(6420
), 522
–525
.289.
Tsang
SC
, Harris
PJF
, and Green
MLH
(1993
), Thinning and opening of carbon nanotubes by oxidation using carbon-dioxide
, Nature (London)
362
(6420
), 520
–522
.290.
Xu
CG
, Sloan
J
, Brown
G
, Bailey
S
, Williams
VC
, Friedrichs
S
, Coleman
KS
, Flahaut
E
, Hutchison
JL
, Dunin-Borkowski
RE
, and Green
MLH
(2000
), 1d lanthanide halide crystals inserted into single-walled carbon nanotubes
, Chem. Commun. (Cambridge)
24
, 2427
–2428
.291.
Tsang
SC
, Chen
YK
, Harris
PJF
, and Green
MLH
(1994
), A simple chemical method of opening and filling carbon nanotubes
, Nature (London)
372
(6502
), 159
–162
.292.
Sloan
J
, Hammer
J
, Zwiefka-Sibley
M
, and Green
MLH
(1998
), The opening and filling of single walled carbon nanotubes (swts
), Chem. Commun. (Cambridge)
3
, 347
–348
.293.
Hiura
H
, Ebbesen
TW
, and Tanigaki
K
(1995
), Opening and purification of carbon nanotubes in high yields
, Adv. Mater.
7
(3
), 275
–276
.294.
Hwang
KC
(1995
), Efficient cleavage of carbon graphene layers by oxidants
, J. Chem. Soc. Chem. Commun.
2
, 173
–174
.295.
Ajayan
PM
, Colliex
C
, Lambert
JM
, Bernier
P
, Barbedette
L
, Tence
M
, and Stephan
O
(1994
), Growth of manganese filled carbon nanofibers in the vapor-phase
, Phys. Rev. Lett.
72
(11
), 1722
–1725
.296.
Subramoney
S
, Ruoff
RS
, Lorents
DC
, Chan
B
, Malhotra
R
, Dyer
MJ
, and Parvin
K
(1994
), Magnetic separation of gdc2 encapsulated in carbon nanoparticles
, Carbon
32
(3
), 507
–513
.297.
Tsang
SC
, Davis
JJ
, Green
MLH
, Allen
H
, Hill
O
, Leung
YC
, and Sadler
PJ
(1995
), Immobilization of small proteins in carbon nanotubes–high–resolution transmission electron-microscopy study and catalytic activity
, J. Chem. Soc. Chem. Commun.
17
, 1803
–1804
.298.
Tsang
SC
, Guo
ZJ
, Chen
YK
, Green
MLH
, Hill
HAO
, Hambley
TW
, and Sadler
PJ
(1997
), Immobilization of platinated and iodinated oligonucleotides on carbon nanotubes
, Angew. Chem.
36
(20
), 2198
–2200
.299.
Dillon
AC
, Jones
KM
, Bekkedahl
TA
, Kiang
CH
, Bethune
DS
, and Heben
MJ
(1997
), Storage of hydrogen in single-walled carbon nanotubes
, Nature (London)
386
(6623
), 377
–379
.300.
Gadd
GE
, Blackford
M
, Moricca
S
, Webb
N
, Evans
PJ
, Smith
AN
, Jacobsen
G
, Leung
S
, Day
A
, and Hua
Q
(1997
), The world’s smallest gas cylinders?
, Science
277
(5328
), 933
–936
.301.
Sloan
J
, Wright
DM
, Woo
HG
, Bailey
S
, Brown
G
, York
APE
, Coleman
KS
, Hutchison
JL
, and Green
MLH
(1999
), Capillarity and silver nanowire formation observed in single walled carbon nanotubes
, Chem. Commun. (Cambridge)
8
, 699
–700
.302.
Smith
BW
and Luzzi
DE
(2000
), Formation mechanism of fullerene peapods and coaxial tubes: A path to large scale synthesis
, Chem. Phys. Lett.
321
(1–2
), 169
–174
.303.
Smith
BW
, Monthioux
M
, and Luzzi
DE
(1998
), Encapsulated c-60 in carbon nanotubes
, Nature (London)
396
(6709
), 323
–324
.304.
Smith
BW
, Monthioux
M
, and Luzzi
DE
(1999
), Carbon nanotube encapsulated fullerenes: A unique class of hybrid materials
, Chem. Phys. Lett.
315
(1–2
), 31
–36
.305.
Burteaux
B
, Claye
A
, Smith
BW
, Monthioux
M
, Luzzi
DE
, and Fischer
JE
(1999
), Abundance of encapsulated c-60 in single-wall carbon nanotubes
, Chem. Phys. Lett.
310
(1–2
), 21
–24
.306.
Sloan
J
, Dunin-Borkowski
RE
, Hutchison
JL
, Coleman
KS
, Williams
VC
, Claridge
JB
, York
APE
, Xu
CG
, Bailey
SR
, Brown
G
, Friedrichs
S
, and Green
MLH
(2000
), The size distribution, imaging and obstructing properties of c-60 and higher fullerenes formed within arc-grown single walled carbon nanotubes
, Chem. Phys. Lett.
316
(3–4
), 191
–198
.307.
Zhang
Y
, Iijima
S
, Shi
Z
, and Gu
Z
(1999
), Defects in arc-discharge-produced single-walled carbon nanotubes
, Philos. Mag. Lett.
79
(7
), 473
–479
.308.
Pederson
MR
and Broughton
JQ
(1992
), Nanocapillarity in fullerene tubules
, Phys. Rev. Lett.
69
(18
), 2689
–2692
.309.
Prasad
R
and Lele
S
(1994
), Stabilization of the amorphous phase inside carbon nanotubes-solidification in a constrained geometry
, Philos. Mag. Lett.
70
(6
), 357
–361
.310.
Berber S, Kwon YK, and Tomanek D (2001), personal communication.
311.
Stan
G
and Cole
MW
(1998
), Hydrogen adsorption in nanotubes
, J. Low Temp. Phys.
110
(1–2
), 539
–544
.312.
Mao
ZG
, Garg
A
, and Sinnott
SB
(1999
), Molecular dynamics simulations of the filling and decorating of carbon nanotubules
, Nanotechnology
10
(3
), 273
–277
.313.
Stan
G
, Gatica
SM
, Boninsegni
M
, Curtarolo
S
, and Cole
MW
(1999
), Atoms in nanotubes: Small dimensions and variable dimensionality
, Am. J. Phys.
67
(12
), 1170
–1176
.314.
Liu
J
, Casavant
MJ
, Cox
M
, Walters
DA
, Boul
P
, Lu
W
, Rimberg
AJ
, Smith
KA
, Colbert
DT
, and Smalley
RE
(1999
), Controlled deposition of individual single-walled carbon nanotubes on chemically functionalized templates
, Chem. Phys. Lett.
303
(1–2
), 125
–129
.315.
Chung J and Lee JH (2001), Personal communication.
316.
Ren
Y
and Price
DL
(2001
), Neutron scattering study of h-2 adsorption in single-walled carbon nanotubes
, Appl. Phys. Lett.
79
(22
), 3684
–3686
.317.
Zhang
YG
, Chang
AL
, Cao
J
, Wang
Q
, Kim
W
, Li
YM
, Morris
N
, Yenilmez
E
, Kong
J
, and Dai
HJ
(2001
), Electric-field-directed growth of aligned single-walled carbon nanotubes
, Appl. Phys. Lett.
79
(19
), 3155
–3157
.318.
Collins
PG
, Bradley
K
, Ishigami
M
, and Zettl
A
(2000
), Extreme oxygen sensitivity of electronic properties of carbon nanotubes
, Science
287
(5459
), 1801
–1804
.319.
Kong
J
, Franklin
NR
, Zhou
CW
, Chapline
MG
, Peng
S
, Cho
KJ
, and Dai
HJ
(2000
), Nanotube molecular wires as chemical sensors
, Science
287
(5453
), 622
–625
.320.
Yamamoto
K
, Akita
S
, and Nakayama
Y
(1998
), Orientation and purification of carbon nanotubes using ac electrophoresis
, J. Phys. D
31
(8
), L34–L36
L34–L36
.321.
Tombler
TW
, Zhou
CW
, Alexseyev
L
, Kong
J
, Dai
HJ
, Lei
L
, Jayanthi
CS
, Tang
MJ
, and Wu
SY
(2000
), Reversible electromechanical characteristics of carbon nanotubes under local-probe manipulation
, Nature (London)
405
(6788
), 769
–772
.322.
Maiti
A
(2001
), Application of carbon nanotubes as electromechanical sensors-Results from first-principles simulations
, Phys. Status Solidi B
226
(1
), 87
–93
.323.
Maiti
A
, Andzelm
J
, Tanpipat
N
, and von Allmen
P
(2001
), Carbon nanotubes as field emission device and electromechanical sensor: Results from first-principles dft simulations
, Abstr. Pap. - Am. Chem. Soc.
222
, 204
204
-COMP.324.
Kong
J
, Chapline
MG
, and Dai
HJ
(2001
), Functionalized carbon nanotubes for molecular hydrogen sensors
, Adv. Mater.
13
(18
), 1384
–1386
.325.
Peng
S
and Cho
KJ
(2000
), Chemical control of nanotube electronics
, Nanotechnology
11
(2
), 57
–60
.326.
Wood
JR
, Frogley
MD
, Meurs
ER
, Prins
AD
, Peijs
T
, Dunstan
DJ
, and Wagner
HD
(1999
), Mechanical response of carbon nanotubes under molecular and macroscopic pressures
, J. Phys. Chem. B
103
(47
), 10388
–10392
.327.
Wood
JR
and Wagner
HD
(2000
), Single-wall carbon nanotubes as molecular pressure sensors
, Appl. Phys. Lett.
76
(20
), 2883
–2885
.328.
Wood
JR
, Zhao
Q
, Frogley
MD
, Meurs
ER
, Prins
AD
, Peijs
T
, Dunstan
DJ
, and Wagner
HD
(2000
), Carbon nanotubes: From molecular to macroscopic sensors
, Phys. Rev. B
62
(11
), 7571
–7575
.329.
Zhao
Q
, Wood
JR
, and Wagner
HD
(2001
), Using carbon nanotubes to detect polymer transitions
, J. Polym. Sci., Part B: Polym. Phys.
39
(13
), 1492
–1495
.330.
Zhao
Q
, Wood
JR
, and Wagner
HD
(2001
), Stress fields around defects and fibers in a polymer using carbon nanotubes as sensors
, Appl. Phys. Lett.
78
(12
), 1748
–1750
.331.
Ilic
B
, Czaplewski
D
, Craighead
HG
, Neuzil
P
, Campagnolo
C
, and Batt
C
(2000
), Mechanical resonant immunospecific biological detector
, Appl. Phys. Lett.
77
(3
), 450
–452
.332.
Carr
DW
, Evoy
S
, Sekaric
L
, Craighead
HG
, and Parpia
JM
(1999
), Measurement of mechanical resonance and losses in nanometer scale silicon wires
, Appl. Phys. Lett.
75
(7
), 920
–922
.333.
Turner
KL
, Miller
SA
, Hartwell
PG
, MacDonald
NC
, Strogatz
SH
, and Adams
SG
(1998
), Five parametric resonances in a microelectromechanical system
, Nature (London)
396
(6707
), 149
–152
.334.
Yu MF, Wagner GJ, Ruoff RS, and Dyer MJ (2002), Realization of parametric resonances in a nanowire mechanical system with nanomanipulation inside a scanning electron microscope, Phys. Rev. B. (accepted for publication).
335.
Sandler
J
, Shaffer
MSP
, Prasse
T
, Bauhofer
W
, Schulte
K
, and Windle
AH
(1999
), Development of a dispersion process for carbon nanotubes in an epoxy matrix and the resulting electrical properties
, Polymer
40
(21
), 5967
–5971
.336.
Schadler
LS
, Giannaris
SC
, and Ajayan
PM
(1998
), Load transfer in carbon nanotube epoxy composites
, Appl. Phys. Lett.
73
(26
), 3842
–3844
.337.
Qian
D
, Dickey
EC
, Andrews
R
, and Rantell
T
(2000
), Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites
, Appl. Phys. Lett.
76
(20
), 2868
–2870
.338.
Ajayan
PM
, Schadler
LS
, Giannaris
C
, and Rubio
A
(2000
), Single-walled carbon nanotube-polymer composites: Strength and weakness
, Adv. Mater.
12
(10
), 750
–753
.339.
Thostenson
ET
, Ren
ZF
, and Chou
TW
(2001
), Advances in the science and technology of carbon nanotubes and their composites: A review
, Compos. Sci. Technol.
61
(13
), 1899
–1912
.340.
Jin
L
, Bower
C
, and Zhou
O
(1998
), Alignment of carbon nanotubes in a polymer matrix by mechanical stretching
, Appl. Phys. Lett.
73
(9
), 1197
–1199
.341.
Haggenmueller
R
, Gommans
HH
, Rinzler
AG
, Fischer
JE
, and Winey
KI
(2000
), Aligned single-wall carbon nanotubes in composites by melt processing methods
, Chem. Phys. Lett.
330
(3–4
), 219
–225
.342.
Barrera
EV
(2000
), Key methods for developing single-wall nanotube composites
, Journal of the Minerals Metals & Materials Society
52
(11
), A38–A42
A38–A42
.343.
Fisher JE (2002), Nanomechanics and the viscoelastic behavior of carbon nanotube-reinformed polymers, PhD Thesis, Northwestern Univ, Evanston IL.
344.
Fisher
FT
, Bradshaw
RD
, and Brinson
LC
(2001
), Effects of nanotube waviness on the mechanical properties of nanoreinforced polymers, Appl. Phys. Lett.
80
(24
), 4647
–4649
.345.
Shaffer
MSP
and Windle
AH
(1999
), Fabrication and characterization of carbon nanotube/poly(vinyl alcohol) composites
, Adv. Mater.
11
(11
), 937
–941
.346.
Gong
XY
, Liu
J
, Baskaran
S
, Voise
RD
, and Young
JS
(2000
), Surfactant-assisted processing of carbon nanotube/polymer composites
, Chem. Mater.
12
(4
), 1049
–1052
.347.
Lozano
K
, Bonilla-Rios
J
, and Barrera
EV
(2001
), A study on nanofiber-reinforced thermoplastic composites (II): Investigation of the mixing rheology and conduction properties
, J. Appl. Polym. Sci.
80
(8
), 1162
–1172
.348.
Qian D and Liu WK (2002), Multiscale computational modeling of nanorope reinforced composites, Computational Mechanics Lab Research Report (02–06), Dept of Mech Eng, Northwestern Univ.
349.
Mitsubishi Chemical Corp Public Relations Dept (2001), Frontier carbon corporation launched world’s first large scale, economic production of fullerenes will lower cost and increase availability.
Copyright © 2002
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