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Volumn 193, Issue 17-20, 2004, Pages 1603-1632

A multiscale projection method for the analysis of carbon nanotubes

Author keywords

Carbon nanotubes; Meshfree method; Multiscale analysis; Nanomechanics; Virtual atom cluster

Indexed keywords

ATOMS; CARBON NANOTUBES; COMPUTER AIDED ANALYSIS; CONTINUUM MECHANICS; ELECTRICITY; GEOMETRY; MOLECULAR DYNAMICS; NANOSTRUCTURED MATERIALS; STRESSES;

EID: 1842686601     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.12.016     Document Type: Article
Times cited : (182)

References (65)
  • 1
    • 0032534356 scopus 로고    scopus 로고
    • Spanning the continuum to quantum length scales in a dynamic simulation of brittle fracture
    • Abraham F.F. Broughton J.Q. Bernstein N. Kaxiras E. Spanning the continuum to quantum length scales in a dynamic simulation of brittle fracture Europhys. Lett. 44 6 1998 783-787
    • (1998) Europhys. Lett. , vol.44 , Issue.6 , pp. 783-787
    • Abraham, F.F.1    Broughton, J.Q.2    Bernstein, N.3    Kaxiras, E.4
  • 2
    • 0036721938 scopus 로고    scopus 로고
    • An atomistic-based membrane for crystalline films one atom thick
    • Arroyo M. Belytschko T. An atomistic-based membrane for crystalline films one atom thick J. Mech. Phys. Solids 50 2002 1941-1977
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 1941-1977
    • Arroyo, M.1    Belytschko, T.2
  • 5
    • 33644817086 scopus 로고
    • Empirical potential for hydrocarbons for use in simulating the chemical vapor-deposition of diamond films
    • Brenner D.W. Empirical potential for hydrocarbons for use in simulating the chemical vapor-deposition of diamond films Phys. Rev. B 42 15 1990 9458-9471
    • (1990) Phys. Rev. B , vol.42 , Issue.15 , pp. 9458-9471
    • Brenner, D.W.1
  • 6
    • 17244374413 scopus 로고    scopus 로고
    • Concurrent coupling of length scales: Methodology and application
    • Broughton J.Q. Abraham F.F. Bernstein N. Kaxiras E. Concurrent coupling of length scales: Methodology and application Phys. Rev. B 60 4 1999 2391-2403
    • (1999) Phys. Rev. B , vol.60 , Issue.4 , pp. 2391-2403
    • Broughton, J.Q.1    Abraham, F.F.2    Bernstein, N.3    Kaxiras, E.4
  • 7
    • 36149016439 scopus 로고
    • Thermodynamic definition of higher order elastic coefficients
    • Brugger K. Thermodynamic definition of higher order elastic coefficients Phys. Rev. 133 6A 1964 A1611
    • (1964) Phys. Rev. , vol.133 , Issue.6 A
    • Brugger, K.1
  • 9
    • 11744381367 scopus 로고    scopus 로고
    • An introduction to programming the meshless Element Free Galerkin method
    • Dolbow J. Belytschko T. An introduction to programming the meshless Element Free Galerkin method Arch. Comput. Methods Engrg. 5 3 1998 207-241
    • (1998) Arch. Comput. Methods Engrg. , vol.5 , Issue.3 , pp. 207-241
    • Dolbow, J.1    Belytschko, T.2
  • 10
    • 0012478148 scopus 로고    scopus 로고
    • Localization-induced band and cohesive model
    • Hao S. Liu W.K. Qian D. Localization-induced band and cohesive model J. Appl. Mech.--Trans. ASME 67 4 2000 803-812
    • (2000) J. Appl. Mech.--Trans. ASME , vol.67 , Issue.4 , pp. 803-812
    • Hao, S.1    Liu, W.K.2    Qian, D.3
  • 11
    • 0036604268 scopus 로고    scopus 로고
    • Mechanics of carbon nanotubes: Applicability of the continuum-beam models
    • Harik V.M. Mechanics of carbon nanotubes: Applicability of the continuum-beam models Comput. Mater. Sci. 24 3 2002 328-342
    • (2002) Comput. Mater. Sci. , vol.24 , Issue.3 , pp. 328-342
    • Harik, V.M.1
  • 12
    • 0342819025 scopus 로고
    • Helical microtubules of graphitic carbon
    • Iijima S. Helical microtubules of graphitic carbon Nature 354 6348 1991 56-58
    • (1991) Nature , vol.354 , Issue.6348 , pp. 56-58
    • Iijima, S.1
  • 13
    • 29144453140 scopus 로고
    • Effect of invariance requirements on elastic strain energy of crystals with application to diamond structure
    • Keating P.N. Effect of invariance requirements on elastic strain energy of crystals with application to diamond structure Phys. Rev. 145 2 1966 637-645
    • (1966) Phys. Rev. , vol.145 , Issue.2 , pp. 637-645
    • Keating, P.N.1
  • 14
    • 36049054382 scopus 로고
    • Theory of 3rd-order elastic constants of diamond-like crystals
    • Keating P.N. Theory of 3rd-order elastic constants of diamond-like crystals Phys. Rev. 149 2 1966 674-679
    • (1966) Phys. Rev. , vol.149 , Issue.2 , pp. 674-679
    • Keating, P.N.1
  • 15
    • 1842746167 scopus 로고
    • On sufficiency of Born-Huang relations
    • Keating P.N. On sufficiency of Born-Huang relations Phys. Lett. A A25 7 1967 496-497
    • (1967) Phys. Lett. A , vol.A25 , Issue.7 , pp. 496-497
    • Keating, P.N.1
  • 16
    • 1842695802 scopus 로고
    • Relationship between macroscopic and microscopic theory of crystal elasticity. 2. Nonprimitive crystals
    • Keating P.N. Relationship between macroscopic and microscopic theory of crystal elasticity. 2. Nonprimitive crystals Phys. Rev. 169 3 1968 758-766
    • (1968) Phys. Rev. , vol.169 , Issue.3 , pp. 758-766
    • Keating, P.N.1
  • 17
    • 0035451516 scopus 로고    scopus 로고
    • An analysis of the quasicontinuum method
    • Knap J. Ortiz M. An analysis of the quasicontinuum method J. Mech. Phys. Solids 49 9 2001 1899-1923
    • (2001) J. Mech. Phys. Solids , vol.49 , Issue.9 , pp. 1899-1923
    • Knap, J.1    Ortiz, M.2
  • 18
    • 0033873253 scopus 로고    scopus 로고
    • Numerical simulations of large deformation of thin shell structures using meshfree methods
    • Li S. Hao W. Liu W.K. Numerical simulations of large deformation of thin shell structures using meshfree methods Comput. Mech. 25 2-3 2000 102-116
    • (2000) Comput. Mech. , vol.25 , Issue.2-3 , pp. 102-116
    • Li, S.1    Hao, W.2    Liu, W.K.3
  • 19
    • 0000969263 scopus 로고    scopus 로고
    • Meshfree and particle methods
    • Li S.F. Liu W.K. Meshfree and particle methods Appl. Mech. Rev. 55 1 2002 1-34
    • (2002) Appl. Mech. Rev. , vol.55 , Issue.1 , pp. 1-34
    • Li, S.F.1    Liu, W.K.2
  • 20
    • 84984525570 scopus 로고
    • Wavelet and multiple scale reproducing kernel methods
    • Liu W.K. Chen Y.J. Wavelet and multiple scale reproducing kernel methods Int. J. Numer. Methods Fluids 21 10 1995 901-931
    • (1995) Int. J. Numer. Methods Fluids , vol.21 , Issue.10 , pp. 901-931
    • Liu, W.K.1    Chen, Y.J.2
  • 23
    • 0030170555 scopus 로고    scopus 로고
    • Advances in multiple scale kernel particle methods
    • Liu W.K. Chen Y. Chang C.T. Belytschko T. Advances in multiple scale kernel particle methods Comput. Mech. 18 2 1996 73-111
    • (1996) Comput. Mech. , vol.18 , Issue.2 , pp. 73-111
    • Liu, W.K.1    Chen, Y.2    Chang, C.T.3    Belytschko, T.4
  • 25
    • 0031171498 scopus 로고    scopus 로고
    • Multiresolution reproducing kernel particle method for computational fluid dynamics
    • Liu W.K. Jun S. Sihling D.T. Chen Y.J. Hao W. Multiresolution reproducing kernel particle method for computational fluid dynamics Int. J. Numer. Methods Fluids 24 12 1997 1391-1415
    • (1997) Int. J. Numer. Methods Fluids , vol.24 , Issue.12 , pp. 1391-1415
    • Liu, W.K.1    Jun, S.2    Sihling, D.T.3    Chen, Y.J.4    Hao, W.5
  • 26
    • 0031119696 scopus 로고    scopus 로고
    • Moving least-square reproducing kernel methods. 1. Methodology and convergence
    • Liu W.K. Li S.F. Belytschko T. Moving least-square reproducing kernel methods. 1. Methodology and convergence Comput. Methods Appl. Mech. Engrg. 143 1-2 1997 113-154
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.143 , Issue.1-2 , pp. 113-154
    • Liu, W.K.1    Li, S.F.2    Belytschko, T.3
  • 27
    • 0000520888 scopus 로고    scopus 로고
    • Enrichment of the finite element method with the reproducing kernel particle method
    • Liu W.K. Uras R.A. Chen Y. Enrichment of the finite element method with the reproducing kernel particle method J. Appl. Mech.--Trans. ASME 64 4 1997 861-870
    • (1997) J. Appl. Mech.--Trans. ASME , vol.64 , Issue.4 , pp. 861-870
    • Liu, W.K.1    Uras, R.A.2    Chen, Y.3
  • 30
    • 0001311151 scopus 로고
    • Many-body forces in metals and Brugger elastic-constants
    • Martin J.W. Many-body forces in metals and Brugger elastic-constants J. Phys. C: Solid State Phys. 8 18 1975 2837-2857
    • (1975) J. Phys. C: Solid State Phys. , vol.8 , Issue.18 , pp. 2837-2857
    • Martin, J.W.1
  • 31
    • 0001417131 scopus 로고
    • Many-body forces in solids and Brugger elastic-constants. 2. inner elastic-constants
    • Martin J.W. Many-body forces in solids and Brugger elastic-constants. 2. inner elastic-constants J. Phys. C: Solid State Phys. 8 18 1975 2858-2868
    • (1975) J. Phys. C: Solid State Phys. , vol.8 , Issue.18 , pp. 2858-2868
    • Martin, J.W.1
  • 32
    • 0040271086 scopus 로고
    • Many-body forces in solids--elastic-constants of diamond-type crystals
    • Martin J.W. Many-body forces in solids--elastic-constants of diamond-type crystals J. Phys. C: Solid State Phys. 8 18 1975 2869-2888
    • (1975) J. Phys. C: Solid State Phys. , vol.8 , Issue.18 , pp. 2869-2888
    • Martin, J.W.1
  • 36
    • 84966262179 scopus 로고
    • Updating quasi-newton matrices with limited storage
    • Nocedal J. Updating quasi-newton matrices with limited storage Math. Comput. 35 151 1980 773-782
    • (1980) Math. Comput. , vol.35 , Issue.151 , pp. 773-782
    • Nocedal, J.1
  • 37
    • 0002584532 scopus 로고
    • Structural rigidity and low-frequency vibrational-modes of long carbon tubules
    • Overney G. Zhong W. Tomanek D. Structural rigidity and low-frequency vibrational-modes of long carbon tubules Z. Phys. D: Atom Mol. Clust. 27 1 1993 93-96
    • (1993) Z. Phys. D: Atom Mol. Clust. , vol.27 , Issue.1 , pp. 93-96
    • Overney, G.1    Zhong, W.2    Tomanek, D.3
  • 39
    • 17444424014 scopus 로고    scopus 로고
    • The bridging scale for two-dimensional atomistic/continuum coupling
    • accepted for publication
    • H. Park, E.G. Karpov, P.A. Klein, W.K. Liu, The bridging scale for two-dimensional atomistic/continuum coupling, Philos. Mag. A, accepted for publication
    • Philos. Mag. A
    • Park, H.1    Karpov, E.G.2    Klein, P.A.3    Liu, W.K.4
  • 40
    • 1842809898 scopus 로고    scopus 로고
    • An introduction and tutorial on multiple scale analysis in solids
    • in press
    • H. Park, W.K. Liu, An introduction and tutorial on multiple scale analysis in solids, Comput. Methods Appl. Mech. Engrg., in press
    • Comput. Methods Appl. Mech. Engrg.
    • Park, H.1    Liu, W.K.2
  • 44
    • 0042346317 scopus 로고    scopus 로고
    • Load transfer mechanism in carbon nanotube ropes
    • Qian D. Liu W.K. Ruoff R.S. Load transfer mechanism in carbon nanotube ropes Compos. Sci. Technol. 63 11 2003 1561-1569
    • (2003) Compos. Sci. Technol. , vol.63 , Issue.11 , pp. 1561-1569
    • Qian, D.1    Liu, W.K.2    Ruoff, R.S.3
  • 45
    • 0041883609 scopus 로고    scopus 로고
    • Effect of interlayer interaction on the mechanical deformation of multiwalled carbon nanotube
    • Qian D. Liu W.K. Subramoney S. Ruoff R.S. Effect of interlayer interaction on the mechanical deformation of multiwalled carbon nanotube J. Nanosci. Nanotechnol. 3 1 2003 185-191
    • (2003) J. Nanosci. Nanotechnol. , vol.3 , Issue.1 , pp. 185-191
    • Qian, D.1    Liu, W.K.2    Subramoney, S.3    Ruoff, R.S.4
  • 46
    • 0001190129 scopus 로고
    • Energetics of nanoscale graphitic tubules
    • Robertson D.H. Brenner D.W. Mintmire J.W. Energetics of nanoscale graphitic tubules Phys. Rev. B 45 21 1992 12592-12595
    • (1992) Phys. Rev. B , vol.45 , Issue.21 , pp. 12592-12595
    • Robertson, D.H.1    Brenner, D.W.2    Mintmire, J.W.3
  • 47
    • 12944333446 scopus 로고    scopus 로고
    • Structure and strength of dislocation junctions: An atomic level analysis
    • Rodney D. Phillips R. Structure and strength of dislocation junctions: An atomic level analysis Phys. Rev. Lett. 82 8 1999 1704-1707
    • (1999) Phys. Rev. Lett. , vol.82 , Issue.8 , pp. 1704-1707
    • Rodney, D.1    Phillips, R.2
  • 48
    • 0034667108 scopus 로고    scopus 로고
    • Elastic buckling of single-walled carbon nanotube ropes under high pressure
    • Ru C.Q. Elastic buckling of single-walled carbon nanotube ropes under high pressure Phys. Rev. B 62 15 2000 10405-10408
    • (2000) Phys. Rev. B , vol.62 , Issue.15 , pp. 10405-10408
    • Ru, C.Q.1
  • 49
    • 0034670813 scopus 로고    scopus 로고
    • Column buckling of multiwalled carbon nanotubes with interlayer radial displacements
    • Ru C.Q. Column buckling of multiwalled carbon nanotubes with interlayer radial displacements Phys. Rev. B 62 24 2000 16962-16967
    • (2000) Phys. Rev. B , vol.62 , Issue.24 , pp. 16962-16967
    • Ru, C.Q.1
  • 50
    • 0029233544 scopus 로고
    • Mechanical and thermal-properties of carbon nanotubes
    • Ruoff R.S. Lorents D.C. Mechanical and thermal-properties of carbon nanotubes Carbon 33 7 1995 925-930
    • (1995) Carbon , vol.33 , Issue.7 , pp. 925-930
    • Ruoff, R.S.1    Lorents, D.C.2
  • 53
    • 0035465813 scopus 로고    scopus 로고
    • Formation and strength of dislocation junctions in FCC metals: A study by dislocation dynamics and atomistic simulations
    • Shin C.S. Fivel M.C. Rodney D. Phillips R. Shenoy V.B. Dupuy L. Formation and strength of dislocation junctions in FCC metals: A study by dislocation dynamics and atomistic simulations J. Phys. IV 11 PR5 2001 19-26
    • (2001) J. Phys. IV , vol.11 , Issue.PR5 , pp. 19-26
    • Shin, C.S.1    Fivel, M.C.2    Rodney, D.3    Phillips, R.4    Shenoy, V.B.5    Dupuy, L.6
  • 54
    • 0030158774 scopus 로고    scopus 로고
    • Quasicontinuum analysis of defects in solids
    • Tadmor E.B. Ortiz M. Phillips R. Quasicontinuum analysis of defects in solids Philos. Mag. A 73 6 1996 1529-1563
    • (1996) Philos. Mag. A , vol.73 , Issue.6 , pp. 1529-1563
    • Tadmor, E.B.1    Ortiz, M.2    Phillips, R.3
  • 55
    • 0001430250 scopus 로고    scopus 로고
    • Mixed atomistic and continuum models of deformation in solids
    • Tadmor E.B. Phillips R. Ortiz M. Mixed atomistic and continuum models of deformation in solids Langmuir 12 19 1996 4529-4534
    • (1996) Langmuir , vol.12 , Issue.19 , pp. 4529-4534
    • Tadmor, E.B.1    Phillips, R.2    Ortiz, M.3
  • 58
    • 0038030820 scopus 로고
    • Why are carbon filaments tubular
    • Tibbetts G.G. Why are carbon filaments tubular J. Cryst. Growth 66 3 1984 632-638
    • (1984) J. Cryst. Growth , vol.66 , Issue.3 , pp. 632-638
    • Tibbetts, G.G.1
  • 59
    • 0035127997 scopus 로고    scopus 로고
    • Hierarchical enrichment for bridging scales and mesh-free boundary conditions
    • Wagner G.J. Liu W.K. Hierarchical enrichment for bridging scales and mesh-free boundary conditions Int. J. Numer. Methods Engrg. 50 3 2001 507-524
    • (2001) Int. J. Numer. Methods Engrg. , vol.50 , Issue.3 , pp. 507-524
    • Wagner, G.J.1    Liu, W.K.2
  • 61
  • 62
    • 0042858270 scopus 로고    scopus 로고
    • Coupling of atomistic and continuum simulations using a bridging scale decomposition
    • Wagner G.J. Liu W.K. Coupling of atomistic and continuum simulations using a bridging scale decomposition J. Comput. Phys. 190 2003 249-274
    • (2003) J. Comput. Phys. , vol.190 , pp. 249-274
    • Wagner, G.J.1    Liu, W.K.2
  • 63
    • 33750050422 scopus 로고    scopus 로고
    • Nanomechanics of carbon tubes: Instabilities beyond linear response
    • Yakobson B.I. Brabec C.J. Bernholc J. Nanomechanics of carbon tubes: Instabilities beyond linear response Phys. Rev. Lett. 76 14 1996 2511-2514
    • (1996) Phys. Rev. Lett. , vol.76 , Issue.14 , pp. 2511-2514
    • Yakobson, B.I.1    Brabec, C.J.2    Bernholc, J.3
  • 64
    • 0034723247 scopus 로고    scopus 로고
    • Strength and breaking mechanism of multiwalled carbon nanotubes under tensile load
    • Yu M.F. Lourie O. Dyer M.J. Moloni K. Kelly T.F. Ruoff R.S. Strength and breaking mechanism of multiwalled carbon nanotubes under tensile load Science 287 5453 2000 637-640
    • (2000) Science , vol.287 , Issue.5453 , pp. 637-640
    • Yu, M.F.1    Lourie, O.2    Dyer, M.J.3    Moloni, K.4    Kelly, T.F.5    Ruoff, R.S.6
  • 65
    • 0037014431 scopus 로고    scopus 로고
    • The elastic modulus of single-wall carbon nanotubes: A continuum analysis incorporating interatomic potentials
    • Zhang P. Huang Y. Geubelle P.H. Klein P. Hwang K.C. The elastic modulus of single-wall carbon nanotubes: A continuum analysis incorporating interatomic potentials Int. J. Solids Struct. 39 13-14 2002 3893-3906
    • (2002) Int. J. Solids Struct. , vol.39 , Issue.13-14 , pp. 3893-3906
    • Zhang, P.1    Huang, Y.2    Geubelle, P.H.3    Klein, P.4    Hwang, K.C.5


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