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Volumn 53, Issue 9, 2011, Pages 786-792

Calibration of the analytical nonlocal shell model for vibrations of double-walled carbon nanotubes with arbitrary boundary conditions using molecular dynamics

Author keywords

Carbon nanotube; Free vibrations; Molecular dynamics simulation; Nonlocal elasticity continuum; RayleighRitz method

Indexed keywords

ARBITRARY BOUNDARY CONDITIONS; CONTINUUM MODEL; DOUBLE-WALLED CARBON NANOTUBES; ELASTIC SHELL MODELS; FREE VIBRATION; FREE VIBRATION BEHAVIOR; FREE VIBRATION RESPONSE; GOVERNING DIFFERENTIAL EQUATIONS; MD SIMULATION; MOLECULAR DYNAMICS SIMULATION; MOLECULAR DYNAMICS SIMULATIONS; NONLINEAR LEAST SQUARE FITTING; NONLOCAL; NONLOCAL ELASTICITY; POLYNOMIAL SERIES; RAYLEIGH-RITZ METHODS; SHELL MODELS; SHELL THEORY; SMALL SCALE;

EID: 80051550767     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2011.06.010     Document Type: Article
Times cited : (161)

References (42)
  • 1
    • 0036721916 scopus 로고    scopus 로고
    • Synthesis of vertically aligned carbon nanotubes on metal deposited quartz plates
    • DOI 10.1016/S0008-6223(02)00052-0, PII S0008622302000520
    • W.D. Zhang, Y. Wen, S.M. Liu, W.C. Tjiu, G.Q. Xu, and L.M. Gan Synthesis of vertically aligned carbon nanotubes on metal deposited quartz plates Carbon 40 11 2002 1981 1989 (Pubitemid 34802110)
    • (2002) Carbon , vol.40 , Issue.11 , pp. 1981-1989
    • Zhang, W.D.1    Wen, Y.2    Min Liu, S.3    Tjiu, W.C.4    Qin Xu, G.5    Ming Gan, L.6
  • 2
    • 59149086234 scopus 로고    scopus 로고
    • A DNA nanomachine induced by single-walled carbon nanotubes on gold surface
    • C. Zhao, Y. Song, J. Ren, and X. Qu A DNA nanomachine induced by single-walled carbon nanotubes on gold surface Biomaterials 30 9 2009 1739 1745
    • (2009) Biomaterials , vol.30 , Issue.9 , pp. 1739-1745
    • Zhao, C.1    Song, Y.2    Ren, J.3    Qu, X.4
  • 3
    • 59149093646 scopus 로고    scopus 로고
    • Facile attachment of magnetic nanoparticles to carbon nanotubes via robust linkages and its fabrication of magnetic nanocomposites
    • C. Qin, J. Shen, Y. Hu, and M. Ye Facile attachment of magnetic nanoparticles to carbon nanotubes via robust linkages and its fabrication of magnetic nanocomposites Composites Science and Technology 69 34 2009 427 431
    • (2009) Composites Science and Technology , vol.69 , Issue.34 , pp. 427-431
    • Qin, C.1    Shen, J.2    Hu, Y.3    Ye, M.4
  • 4
    • 34248653228 scopus 로고    scopus 로고
    • Transparent and flexible glucose biosensor via layer-by-layer assembly of multi-wall carbon nanotubes and glucose oxidase
    • DOI 10.1016/j.elecom.2006.12.022, PII S1388248106005881
    • X.B. Yan, X.J. Chen, B.K. Tay, and K.A. Khor Transparent and flexible glucose via layer-by-layer assembly of multi-wall carbon nanotubes and glucose oxidase Electrochemistry Communications 9 6 2007 1269 1275 (Pubitemid 46771320)
    • (2007) Electrochemistry Communications , vol.9 , Issue.6 , pp. 1269-1275
    • Yan, X.B.1    Chen, X.J.2    Tay, B.K.3    Khor, K.A.4
  • 5
    • 4544297106 scopus 로고    scopus 로고
    • Multi-wall carbon nanotube as a new infrared detected material
    • L. Liu, and Y. Zhang Multi-wall carbon nanotube as a new infrared detected material Sensors and Actuators A 116 3 2004 394 397
    • (2004) Sensors and Actuators A , vol.116 , Issue.3 , pp. 394-397
    • Liu, L.1    Zhang, Y.2
  • 7
    • 77955468941 scopus 로고    scopus 로고
    • Effect of initial axial stress on waves propagating in carbon nanotubes using a generalized nonlocal model
    • J. Song, J. Shen, and X.F. Li Effect of initial axial stress on waves propagating in carbon nanotubes using a generalized nonlocal model Computational Materials Science 49 3 2010 518 523
    • (2010) Computational Materials Science , vol.49 , Issue.3 , pp. 518-523
    • Song, J.1    Shen, J.2    Li, X.F.3
  • 8
    • 61649096096 scopus 로고    scopus 로고
    • Axial vibration of the nanorods with the nonlocal continuum rod model
    • M. Aydogdu Axial vibration of the nanorods with the nonlocal continuum rod model Physica E 41 5 2009 861 864
    • (2009) Physica e , vol.41 , Issue.5 , pp. 861-864
    • Aydogdu, M.1
  • 9
    • 70449631050 scopus 로고    scopus 로고
    • Nonlinear free vibration of embedded double-walled carbon nanotubes based on nonlocal Timoshenko beam theory
    • L.L. Ke, Y. Xiang, J. Yang, and S. Kitipornchai Nonlinear free vibration of embedded double-walled carbon nanotubes based on nonlocal Timoshenko beam theory Computational Materials Science 47 2 2009 409 417
    • (2009) Computational Materials Science , vol.47 , Issue.2 , pp. 409-417
    • Ke, L.L.1    Xiang, Y.2    Yang, J.3    Kitipornchai, S.4
  • 10
    • 77955470817 scopus 로고    scopus 로고
    • Axial vibration of carbon nanotube heterojunctions using nonlocal elasticity
    • S. Filiz, and M. Aydogdu Axial vibration of carbon nanotube heterojunctions using nonlocal elasticity Computational Materials Science 49 3 2010 619 627
    • (2010) Computational Materials Science , vol.49 , Issue.3 , pp. 619-627
    • Filiz, S.1    Aydogdu, M.2
  • 11
    • 33751006717 scopus 로고    scopus 로고
    • Effect of small size on dispersion characteristics of wave in carbon nanotubes
    • DOI 10.1016/j.ijsolstr.2006.06.019, PII S0020768306002265
    • G.Q. Xie, X. Han, and S.Y. Long Effect of small size on dispersion characteristics of wave in carbon nanotubes International Journal of Solids and Structures 44 34 2007 1242 1255 (Pubitemid 44749984)
    • (2007) International Journal of Solids and Structures , vol.44 , Issue.3-4 , pp. 1242-1255
    • Xie, G.Q.1    Han, X.2    Long, S.Y.3
  • 12
    • 77955517249 scopus 로고    scopus 로고
    • Nonlocal finite element model for vibrations of multi-layered graphene sheets
    • R. Ansari, R. Rajabiehfard, and B. Arash Nonlocal finite element model for vibrations of multi-layered graphene sheets Computational Materials Science 49 4 2010 831 838
    • (2010) Computational Materials Science , vol.49 , Issue.4 , pp. 831-838
    • Ansari, R.1    Rajabiehfard, R.2    Arash, B.3
  • 13
    • 78249253939 scopus 로고    scopus 로고
    • Nonlocal plate model for free vibrations of single-layered graphene sheets
    • R. Ansari, S. Sahmani, and B. Arash Nonlocal plate model for free vibrations of single-layered graphene sheets Physics Letters A 375 1 2010 53 62
    • (2010) Physics Letters A , vol.375 , Issue.1 , pp. 53-62
    • Ansari, R.1    Sahmani, S.2    Arash, B.3
  • 14
    • 79951513082 scopus 로고    scopus 로고
    • RayleighRitz axial buckling analysis of single-walled carbon nanotubes with different boundary conditions
    • R. Ansari, S. Sahmani, and H. Rouhi RayleighRitz axial buckling analysis of single-walled carbon nanotubes with different boundary conditions Physics Letters A 375 9 2011 1255 1263
    • (2011) Physics Letters A , vol.375 , Issue.9 , pp. 1255-1263
    • Ansari, R.1    Sahmani, S.2    Rouhi, H.3
  • 15
    • 70349471091 scopus 로고    scopus 로고
    • Small-scale effect on torsional buckling of multi-walled carbon nanotubes
    • M.J. Hao, X.M. Guo, and Q. Wang Small-scale effect on torsional buckling of multi-walled carbon nanotubes European Journal of Mechanics - A/Solids 29 1 2010 49 55
    • (2010) European Journal of Mechanics - A/Solids , vol.29 , Issue.1 , pp. 49-55
    • Hao, M.J.1    Guo, X.M.2    Wang, Q.3
  • 16
    • 77954027700 scopus 로고    scopus 로고
    • Nonlocal elasticity effect on column buckling of multiwalled carbon nanotubes under temperature field
    • K. Amara, A. Tounsi, I. Mechab, and E.A. Adda-Bedia Nonlocal elasticity effect on column buckling of multiwalled carbon nanotubes under temperature field Applied Mathematical Modelling 34 12 2010 3933 3942
    • (2010) Applied Mathematical Modelling , vol.34 , Issue.12 , pp. 3933-3942
    • Amara, K.1    Tounsi, A.2    Mechab, I.3    Adda-Bedia, E.A.4
  • 17
    • 59649088252 scopus 로고    scopus 로고
    • Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models
    • S.C. Pradhan, and J.K. Phadikar Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models Physics Letters A 373 11 2009 1062 1069
    • (2009) Physics Letters A , vol.373 , Issue.11 , pp. 1062-1069
    • Pradhan, S.C.1    Phadikar, J.K.2
  • 18
    • 0346331500 scopus 로고    scopus 로고
    • Column buckling of multi-walled carbon nanotubes using nonlocal continuum mechanics
    • L.J. Sudak Column buckling of multi-walled carbon nanotubes using nonlocal continuum mechanics Journal of Applied Physics 94 2003 7281 7287
    • (2003) Journal of Applied Physics , vol.94 , pp. 7281-7287
    • Sudak, L.J.1
  • 20
    • 67349150697 scopus 로고    scopus 로고
    • Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM
    • T. Murmu, and S.C. Pradhan Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM Physica E 41 7 2009 1232 1239
    • (2009) Physica e , vol.41 , Issue.7 , pp. 1232-1239
    • Murmu, T.1    Pradhan, S.C.2
  • 21
    • 18144388704 scopus 로고    scopus 로고
    • Nanoscale vibrational analysis of a multi-layered graphene sheet embedded in an elastic medium
    • DOI 10.1016/j.compscitech.2004.11.011, PII S0266353804003458
    • K. Behfar, and R. Naghdabadi Nanoscale vibrational analysis of a multi-layered graphene sheet embedded in an elastic medium Composites Science and Technology 65 78 2005 1159 1164 (Pubitemid 40622032)
    • (2005) Composites Science and Technology , vol.65 , Issue.7-8 , pp. 1159-1164
    • Behfar, K.1    Naghdabadi, R.2
  • 22
    • 29644446806 scopus 로고    scopus 로고
    • Effect of small length scale on elastic buckling of multi-walled carbon nanotubes under radial pressure
    • DOI 10.1016/j.physleta.2005.09.036, PII S0375960105015021
    • Y.Q. Zhang, G.R. Liu, and X. Han Effect of small length scale on elastic buckling of multi-walled carbon nanotubes under radial pressure Physics Letters A 349 5 2006 370 376 (Pubitemid 43021066)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.349 , Issue.5 , pp. 370-376
    • Zhang, Y.Q.1    Liu, G.R.2    Han, X.3
  • 23
    • 70449632129 scopus 로고    scopus 로고
    • Nonlocal scale effects on wave propagation in multi-walled carbon nanotubes
    • S. Narendar, and S. Gopalakrishnan Nonlocal scale effects on wave propagation in multi-walled carbon nanotubes Computational Materials Science 47 2 2009 526 538
    • (2009) Computational Materials Science , vol.47 , Issue.2 , pp. 526-538
    • Narendar, S.1    Gopalakrishnan, S.2
  • 24
    • 73449129302 scopus 로고    scopus 로고
    • Torsional buckling and postbuckling of double-walled carbon nanotubes by nonlocal shear deformable shell model
    • H.S. Shen, and C.L. Zhang Torsional buckling and postbuckling of double-walled carbon nanotubes by nonlocal shear deformable shell model Composite Structures 92 5 2010 1073 1084
    • (2010) Composite Structures , vol.92 , Issue.5 , pp. 1073-1084
    • Shen, H.S.1    Zhang, C.L.2
  • 25
    • 34047097760 scopus 로고    scopus 로고
    • Application of nonlocal beam models for carbon nanotubes
    • DOI 10.1016/j.ijsolstr.2006.12.034, PII S0020768306005592
    • P. Lu, H.P. Lee, C. Lu, and P.Q. Zhang Application of nonlocal beam models for carbon nanotubes International Journal of Solids and Structures 44 16 2007 5289 5300 (Pubitemid 46509641)
    • (2007) International Journal of Solids and Structures , vol.44 , Issue.16 , pp. 5289-5300
    • Lu, P.1    Lee, H.P.2    Lu, C.3    Zhang, P.Q.4
  • 26
    • 0035859165 scopus 로고    scopus 로고
    • Vibrations of Mindlin rectangular plates with elastically restrained edges using static Timoshenko beam functions with the Rayleigh-Ritz method
    • DOI 10.1016/S0020-7683(00)00384-X, PII S002076830000384X
    • D. Zhou Vibrations of Mindlin rectangular plates with elastically restrained edges using static Timoshenko beam functions with the RayleighRitz method International Journal of Solids and Structures 38 3233 2001 5565 5580 (Pubitemid 32602503)
    • (2001) International Journal of Solids and Structures , vol.38 , Issue.32-33 , pp. 5565-5580
    • Zhou, D.1
  • 27
    • 0009393908 scopus 로고
    • A RayleighRitz approach for the estimation of the dynamic properties of symmetric composite plates with general boundary conditions
    • A. Al-Obeid, and J.E. Cooper A RayleighRitz approach for the estimation of the dynamic properties of symmetric composite plates with general boundary conditions Composites Science and Technology 53 3 1995 289 299
    • (1995) Composites Science and Technology , vol.53 , Issue.3 , pp. 289-299
    • Al-Obeid, A.1    Cooper, J.E.2
  • 28
    • 0020207285 scopus 로고
    • RayleighRitz vibration analysis of rectangular Mindlin plates subjected to membrane stresses
    • DOI 10.1016/0022-460X(82)90521-1
    • O.L. Roufaeil, and D.J. Dawe RayleighRitz vibration analysis of rectangular Mindlin plates subjected to membrane stresses Journal of Sound and Vibration 85 22 1982 263 275 (Pubitemid 13464270)
    • (1982) Journal of Sound and Vibration , vol.85 , Issue.2 , pp. 263-275
    • Roufaeil, O.L.1    Dawe, D.J.2
  • 29
    • 77952431081 scopus 로고    scopus 로고
    • A mixed RitzDQ method for forced vibration of functionally graded beams carrying moving loads
    • S.M.R. Khalili, A.A. Jafari, and S.A. Eftekhari A mixed RitzDQ method for forced vibration of functionally graded beams carrying moving loads Composite Structures 92 10 2010 2497 2511
    • (2010) Composite Structures , vol.92 , Issue.10 , pp. 2497-2511
    • Khalili, S.M.R.1    Jafari, A.A.2    Eftekhari, S.A.3
  • 30
    • 0001452092 scopus 로고
    • Linear theory of nonlocal elasticity and dispersion of plane waves
    • A.C. Eringen Linear theory of nonlocal elasticity and dispersion of plane waves International Journal of Engineering Science 10 5 1972 425 435
    • (1972) International Journal of Engineering Science , vol.10 , Issue.5 , pp. 425-435
    • Eringen, A.C.1
  • 31
    • 0020821706 scopus 로고
    • On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
    • DOI 10.1063/1.332803
    • A.C. Eringen On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves Journal of Applied Physics 54 9 1983 4703 4710 (Pubitemid 14450262)
    • (1983) Journal of Applied Physics , vol.54 , Issue.9 , pp. 4703-4710
    • Eringen A.Cemal1
  • 33
    • 33847735473 scopus 로고    scopus 로고
    • Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics
    • W.H. Duan, C.M. Wang, and Y.Y. Zhang Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics Journal of Applied Physics 101 2007 024305
    • (2007) Journal of Applied Physics , vol.101 , pp. 024305
    • Duan, W.H.1    Wang, C.M.2    Zhang, Y.Y.3
  • 34
    • 0001195575 scopus 로고
    • On the determination of molecular fields II. from the equation of state of a gas
    • The Royal Society
    • Lennard-Jones JE. On the determination of molecular fields II. From the equation of state of a gas. In: Proceedings of the Royal Society of London, vol. 106. The Royal Society; 1924. p. 46377.
    • (1924) Proceedings of the Royal Society of London , vol.106 , pp. 46377
    • Lennard-Jones, J.E.1
  • 35
    • 27744577658 scopus 로고
    • Modeling solid-state chemistry: Interatomic potentials for multicomponent systems
    • J. Tersoff Modeling solid-state chemistry: interatomic potentials for multicomponent systems Physical Review B 39 8 1989 5566 5568
    • (1989) Physical Review B , vol.39 , Issue.8 , pp. 5566-5568
    • Tersoff, J.1
  • 36
    • 80051544663 scopus 로고    scopus 로고
    • Nanorex Inc., NanoHive-1 v.1.2.0-b1
    • Nanorex Inc., NanoHive-1 v.1.2.0-b1, 2005. 〈www.nanoengineer-1. com〉.
    • (2005)
  • 37
    • 0001256721 scopus 로고    scopus 로고
    • A reactive potential for hydrocarbons with intermolecular interactions
    • S.J. Stuart, A.B. Tutein, and J.A. Harrison A reactive potential for hydrocarbons with intermolecular interactions Journal of Chemical Physics 112 2000 6472 6486
    • (2000) Journal of Chemical Physics , vol.112 , pp. 6472-6486
    • Stuart, S.J.1    Tutein, A.B.2    Harrison, J.A.3
  • 38
    • 33750050422 scopus 로고    scopus 로고
    • Nanomechanics of carbon nanotubes: Instability beyond linear response
    • B.I. Yakobson, C.J. Brabec, and J. Bemholc Nanomechanics of carbon nanotubes: instability beyond linear response Physics Review Letters 76 1996 2511 2514
    • (1996) Physics Review Letters , vol.76 , pp. 2511-2514
    • Yakobson, B.I.1    Brabec, C.J.2    Bemholc, J.3
  • 39
    • 27844587686 scopus 로고    scopus 로고
    • Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity
    • Y.Q. Zhang, G.R. Liu, and J.S. Wang Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity Physical Review B 71 9 2005 195404
    • (2005) Physical Review B , vol.71 , Issue.9 , pp. 195404
    • Zhang, Y.Q.1    Liu, G.R.2    Wang, J.S.3
  • 40
    • 42749100003 scopus 로고    scopus 로고
    • Macroscopic properties of carbon nanotubes from molecular-mechanics simulations
    • A. Sears, and R.C. Batra Macroscopic properties of carbon nanotubes from molecular-mechanics simulations Physical Review B 69 23 2004 235406
    • (2004) Physical Review B , vol.69 , Issue.23 , pp. 235406
    • Sears, A.1    Batra, R.C.2
  • 41
    • 77955282699 scopus 로고    scopus 로고
    • Torsional buckling of carbon nanotubes based on nonlocal elasticity shell models
    • F. Khademolhosseini, R.K.N.D. Rajapakse, and A. Nojeh Torsional buckling of carbon nanotubes based on nonlocal elasticity shell models Computational Materials Science 48 4 2010 382 388
    • (2010) Computational Materials Science , vol.48 , Issue.4 , pp. 382-388
    • Khademolhosseini, F.1    Rajapakse, R.K.N.D.2    Nojeh, A.3
  • 42
    • 77955305008 scopus 로고    scopus 로고
    • Evaluation of nonlocal parameter in the vibrations of single-walled carbon nanotubes with initial strain
    • B. Arash, and R. Ansari Evaluation of nonlocal parameter in the vibrations of single-walled carbon nanotubes with initial strain Physica E 42 8 2010 2058 2064
    • (2010) Physica e , vol.42 , Issue.8 , pp. 2058-2064
    • Arash, B.1    Ansari, R.2


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