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Volumn 198, Issue 17-20, 2009, Pages 1572-1584

Phonon spectra prediction in carbon nanotubes using a manifold-based continuum finite element approach

Author keywords

Continuum atomistic; Finite element; Multi scale; Phonon; Thin shell; Vibration modes

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; PHONONS; STIFFNESS MATRIX; VIBRATING CONVEYORS;

EID: 61849106973     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2009.01.004     Document Type: Article
Times cited : (8)

References (33)
  • 3
    • 33749233557 scopus 로고    scopus 로고
    • Magneto-optical properties of carbon toroids: influence of geometry and magnetic field
    • Shyu F.-L. Magneto-optical properties of carbon toroids: influence of geometry and magnetic field. Phys. Rev. B 72 (2005) 045424
    • (2005) Phys. Rev. B , vol.72 , pp. 045424
    • Shyu, F.-L.1
  • 4
    • 52949138225 scopus 로고    scopus 로고
    • Structure of carbon nanorings
    • Pozrikidis C. Structure of carbon nanorings. Comput. Mater. Sci. 43 (2008) 943-950
    • (2008) Comput. Mater. Sci. , vol.43 , pp. 943-950
    • Pozrikidis, C.1
  • 6
    • 14944376423 scopus 로고
    • Circumferential axisymmetric free oscillations of thick hollowed tori
    • MGill D.J., and Lenzen K.H. Circumferential axisymmetric free oscillations of thick hollowed tori. Int. J. Solids Struct. 3 (1967) 771-780
    • (1967) Int. J. Solids Struct. , vol.3 , pp. 771-780
    • MGill, D.J.1    Lenzen, K.H.2
  • 7
    • 0001653470 scopus 로고
    • Polar axisymmetric free oscillations of thick hollowed tori
    • MGill D.J., and Lenzen K.H. Polar axisymmetric free oscillations of thick hollowed tori. SIAM J. Appl. Math. 15 (1967) 678-692
    • (1967) SIAM J. Appl. Math. , vol.15 , pp. 678-692
    • MGill, D.J.1    Lenzen, K.H.2
  • 8
    • 0038590393 scopus 로고    scopus 로고
    • Three-dimensional vibration analysis of a torus with circular cross-section
    • Zhou D., Au F.T.K., Lo S.H., and Cheung Y.K. Three-dimensional vibration analysis of a torus with circular cross-section. J. Acoust. Soc. Am. 112 (2002) 2831-2839
    • (2002) J. Acoust. Soc. Am. , vol.112 , pp. 2831-2839
    • Zhou, D.1    Au, F.T.K.2    Lo, S.H.3    Cheung, Y.K.4
  • 9
    • 0037018545 scopus 로고    scopus 로고
    • Polar axisymmetric vibration of a hollow toroid using the differential quadrature method
    • Jiang W., and Redekop D. Polar axisymmetric vibration of a hollow toroid using the differential quadrature method. J. Sound Vib. 251 4 (2002) 761-765
    • (2002) J. Sound Vib. , vol.251 , Issue.4 , pp. 761-765
    • Jiang, W.1    Redekop, D.2
  • 10
    • 0037402666 scopus 로고    scopus 로고
    • Static and vibration analysis of orthotropic toroidal shells of variable thickness by differential quadrature
    • Jiang W., and Redekop D. Static and vibration analysis of orthotropic toroidal shells of variable thickness by differential quadrature. Thin-Walled Struct. 41 (2003) 461-478
    • (2003) Thin-Walled Struct. , vol.41 , pp. 461-478
    • Jiang, W.1    Redekop, D.2
  • 11
    • 14944373255 scopus 로고    scopus 로고
    • An analysis of the free vibration of thick-walled isotropic toroidal shells
    • Buchanan G.R., and Liu Y.J. An analysis of the free vibration of thick-walled isotropic toroidal shells. Int. J. Mech. Sci. 47 (2005) 277-292
    • (2005) Int. J. Mech. Sci. , vol.47 , pp. 277-292
    • Buchanan, G.R.1    Liu, Y.J.2
  • 12
    • 32344440492 scopus 로고    scopus 로고
    • FEM free vibration and buckling analysis of stiffened toroidal shells
    • Wang X.H., Xu B., and Redekop D. FEM free vibration and buckling analysis of stiffened toroidal shells. Thin-Walled Struct. 44 (2006) 2-9
    • (2006) Thin-Walled Struct. , vol.44 , pp. 2-9
    • Wang, X.H.1    Xu, B.2    Redekop, D.3
  • 13
    • 0036568113 scopus 로고    scopus 로고
    • Free vibrations of elastic circular toroidal shells
    • Ming R.S., Pan J., and Norton M.P. Free vibrations of elastic circular toroidal shells. Appl. Acoust. 63 (2002) 513-528
    • (2002) Appl. Acoust. , vol.63 , pp. 513-528
    • Ming, R.S.1    Pan, J.2    Norton, M.P.3
  • 15
    • 0030158774 scopus 로고    scopus 로고
    • Quasicontinuum analysis of defects in solids
    • Tadmor E.B., Ortiz M., and Phillips R. Quasicontinuum analysis of defects in solids. Philos. Mag. A 73 (1996) 1529-1563
    • (1996) Philos. Mag. A , vol.73 , pp. 1529-1563
    • Tadmor, E.B.1    Ortiz, M.2    Phillips, R.3
  • 16
    • 0001060370 scopus 로고    scopus 로고
    • Mixed finite element and atomistic formulation for complex crystals
    • Tadmor E.B., Smith G.S., Bernstein N., and Kaxiras E. Mixed finite element and atomistic formulation for complex crystals. Phys. Rev. B 59 1 (1999) 235-245
    • (1999) Phys. Rev. B , vol.59 , Issue.1 , pp. 235-245
    • Tadmor, E.B.1    Smith, G.S.2    Bernstein, N.3    Kaxiras, E.4
  • 17
    • 0001259264 scopus 로고    scopus 로고
    • Coarse-grained molecular dynamics and the atomic limit of finite elements
    • Rudd R.E., and Broughton J.Q. Coarse-grained molecular dynamics and the atomic limit of finite elements. Phys. Rev. B 58 10 (1998)
    • (1998) Phys. Rev. B , vol.58 , Issue.10
    • Rudd, R.E.1    Broughton, J.Q.2
  • 18
    • 0032534356 scopus 로고    scopus 로고
    • Spanning the continuum to quantum length scales in a dynamic simulation of brittle fracture
    • Abraham F., Broughton J., Bernstein N., and Kaxiras E. Spanning the continuum to quantum length scales in a dynamic simulation of brittle fracture. Europhys. Lett. 44 (1998) 783-787
    • (1998) Europhys. Lett. , vol.44 , pp. 783-787
    • Abraham, F.1    Broughton, J.2    Bernstein, N.3    Kaxiras, E.4
  • 19
    • 1842746029 scopus 로고    scopus 로고
    • Coupling methods for continuum model with molecular model
    • Belytschko T., and Xiao S.P. Coupling methods for continuum model with molecular model. J. Mult. Comput. Engrg. 1 (2003) 115-126
    • (2003) J. Mult. Comput. Engrg. , vol.1 , pp. 115-126
    • Belytschko, T.1    Xiao, S.P.2
  • 20
    • 0037717099 scopus 로고    scopus 로고
    • On a formulation for a multiscale atomistic-continuum homogenization method
    • Chung P.W., and Namburu R.R. On a formulation for a multiscale atomistic-continuum homogenization method. Int. J. Solids Struct. 40 (2003) 2563-2588
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 2563-2588
    • Chung, P.W.1    Namburu, R.R.2
  • 22
    • 44849083127 scopus 로고    scopus 로고
    • An atomistic-based finite deformation membrane for single layer crystalline films
    • Arroyo M., and Belytschko T. An atomistic-based finite deformation membrane for single layer crystalline films. J. Mech. Phys. Solids 55 (2003) 19941-19977
    • (2003) J. Mech. Phys. Solids , vol.55 , pp. 19941-19977
    • Arroyo, M.1    Belytschko, T.2
  • 23
    • 1442334875 scopus 로고    scopus 로고
    • Mechanics of deformation of single- and multi-wall carbon nanotubes
    • Pantano A., Parks D.M., and Boyce M.C. Mechanics of deformation of single- and multi-wall carbon nanotubes. J. Mech. Phys. Solids 52 (2004) 789-821
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 789-821
    • Pantano, A.1    Parks, D.M.2    Boyce, M.C.3
  • 24
    • 1642364063 scopus 로고    scopus 로고
    • An atomistic-based continuum theory for carbon nanotubes: analysis of fracture nucleation
    • Zhang P., Jiang H., Huang Y., Geubelle P.H., and Hwang K.C. An atomistic-based continuum theory for carbon nanotubes: analysis of fracture nucleation. J. Mech. Phys. Solids 53 (2004) 977-998
    • (2004) J. Mech. Phys. Solids , vol.53 , pp. 977-998
    • Zhang, P.1    Jiang, H.2    Huang, Y.3    Geubelle, P.H.4    Hwang, K.C.5
  • 25
    • 33750988485 scopus 로고    scopus 로고
    • Bulk dynamic response modeling of carbon nanotubes using an intrinsic finite element formulation incorporating interatomic potentials
    • Leamy M.J. Bulk dynamic response modeling of carbon nanotubes using an intrinsic finite element formulation incorporating interatomic potentials. Int. J. Solids Struct. 44 3-4 (2007) 874-894
    • (2007) Int. J. Solids Struct. , vol.44 , Issue.3-4 , pp. 874-894
    • Leamy, M.J.1
  • 28
    • 10044234851 scopus 로고    scopus 로고
    • Insight into finite element shell discretizations by use of the 'basic shell mathematical model'
    • Lee P.S., and Bathe K.J. Insight into finite element shell discretizations by use of the 'basic shell mathematical model'. Comput. Struct. 83 (2005) 69-90
    • (2005) Comput. Struct. , vol.83 , pp. 69-90
    • Lee, P.S.1    Bathe, K.J.2
  • 30
    • 61849171708 scopus 로고    scopus 로고
    • On an Exact Mapping and a Higher Order Born Rule for Use in Analyzing Graphene Carbon Nanotubes
    • ARL-TR-3117, 2003
    • M.J. Leamy, P.W. Chung, R. Namburu, On an Exact Mapping and a Higher Order Born Rule for Use in Analyzing Graphene Carbon Nanotubes, US Army Research Laboratory Technical Report, ARL-TR-3117, 2003.
    • US Army Research Laboratory Technical Report
    • Leamy, M.J.1    Chung, P.W.2    Namburu, R.3
  • 32
    • 2342594118 scopus 로고    scopus 로고
    • Nanomechanics of carbon nanotubes and composites
    • Srivastava D., Wei C., and Kyeongjae C. Nanomechanics of carbon nanotubes and composites. Appl. Mech. Rev. 56 2 (2003) 215-230
    • (2003) Appl. Mech. Rev. , vol.56 , Issue.2 , pp. 215-230
    • Srivastava, D.1    Wei, C.2    Kyeongjae, C.3
  • 33
    • 0034249547 scopus 로고    scopus 로고
    • Phonon spectra in model carbon nanotubes
    • Sokhan V.P., Nicholson D., and Quirke N. Phonon spectra in model carbon nanotubes. J. Chem. Phys. 113 5 (2000) 2007-2015
    • (2000) J. Chem. Phys. , vol.113 , Issue.5 , pp. 2007-2015
    • Sokhan, V.P.1    Nicholson, D.2    Quirke, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.