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Volumn 223, Issue 10, 2009, Pages 2451-2463

Third-order non-local beam theories for the analysis of symmetrical nanobeams

Author keywords

Nanobeam; Non local elasticity; Third order beam theory

Indexed keywords

BEAM MODEL; BEAM THEORIES; BUCKLING LOADS; CONTINUUM THEORY; GOVERNING DIFFERENTIAL EQUATIONS; GOVERNING EQUATIONS; HIGHER ORDER; NANOBEAM; NON-LOCAL ELASTICITY; NONLOCAL; NONLOCAL MODELS; NUMERICAL EXAMPLE; ROTARY INERTIAS; SIMPLY SUPPORTED; STRAIN GRADIENTS; THIRD-ORDER; THIRD-ORDER BEAM THEORY; TRANSVERSE SHEAR DEFORMATION; VARIATIONAL PRINCIPLES;

EID: 70350164563     PISSN: 09544062     EISSN: None     Source Type: Journal    
DOI: 10.1243/09544062JMES1501     Document Type: Article
Times cited : (12)

References (28)
  • 1
    • 0033525774 scopus 로고    scopus 로고
    • Electrostatic deflections and electromechanical resonances of carbon nanotubes
    • Poncharal, P.,Wang, Z. L., Ugarte, D., and Heer,W. A. D. Electrostatic deflections and electromechanical resonances of carbon nanotubes. Science, 1999, 283(5407), 1513-1516.
    • (1999) Science , vol.283 , Issue.5407 , pp. 1513-1516
    • Poncharal, P.1    Wang, Z.L.2    Ugarte, D.3    Heer, W.A.D.4
  • 2
    • 7044274796 scopus 로고    scopus 로고
    • Experimental measurement and model analysis of damping effect in nanoscale mechanical beam resonators in air
    • Yum, K., Wang, Z. Y., Suryavanshi, A. P., and Yu, M. F. Experimental measurement and model analysis of damping effect in nanoscale mechanical beam resonators in air. J. Appl. Phys., 2004, 96(7), 3933-3938.
    • (2004) J. Appl. Phys. , vol.96 , Issue.7 , pp. 3933-3938
    • Yum, K.1    Wang, Z.Y.2    Suryavanshi, A.P.3    Yu, M.F.4
  • 3
    • 0001996503 scopus 로고
    • Nonlocal polar elastic continua
    • Eringen, A. C.Nonlocal polar elastic continua. Int. J. Eng. Sci., 1972, 10(1), 1-16.
    • (1972) Int. J. Eng. Sci. , vol.10 , Issue.1 , pp. 1-16
    • Eringen, A.C.1
  • 5
    • 0020821706 scopus 로고
    • On differential-equations of nonlocal elasticity and solutions of screw dislocation and surfacewaves
    • Eringen, A. C. On differential-equations of nonlocal elasticity and solutions of screw dislocation and surfacewaves. J. Appl. Phys., 1983, 54(9), 4703-4710.
    • (1983) J. Appl. Phys. , vol.54 , Issue.9 , pp. 4703-4710
    • Eringen, A.C.1
  • 7
    • 0017543116 scopus 로고
    • Crack-tip problem in nonlocal elasticity
    • Eringen, A. C. and Kim, B. S. Crack-tip problem in nonlocal elasticity. J.Mech. Phys. Solids, 1977, 25, 339-355.
    • (1977) J.Mech. Phys. Solids , vol.25 , pp. 339-355
    • Eringen, A.C.1    Kim, B.S.2
  • 8
    • 29744459272 scopus 로고    scopus 로고
    • Wave propagation in carbon nanotubes via nonlocal continuum mechanics
    • Wang, Q. Wave propagation in carbon nanotubes via nonlocal continuum mechanics. J. Appl. Phys., 2005, 98, 124301.
    • (2005) J. Appl. Phys. , vol.98 , pp. 124301
    • Wang, Q.1
  • 9
    • 0346331500 scopus 로고    scopus 로고
    • Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics
    • Sudak,L. J.Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics. J. Appl. Phys., 2003, 94(11), 7281-7287.
    • (2003) J. Appl. Phys. , vol.94 , Issue.11 , pp. 7281-7287
    • Sudak, L.J.1
  • 10
    • 33645026349 scopus 로고    scopus 로고
    • Vibration of carbon nanotubes studied using nonlocal continuum mechanics
    • Wang, Q. and Varadan, V. K. Vibration of carbon nanotubes studied using nonlocal continuum mechanics. SmartMater. Struct., 2006, 15, 659-666.
    • (2006) SmartMater. Struct. , vol.15 , pp. 659-666
    • Wang, Q.1    Varadan, V.K.2
  • 11
    • 42749107543 scopus 로고    scopus 로고
    • Small-scale effects on buckling of multiwalled carbon nanotubes under axial compression
    • Zhang, Y. Q., Liu, G. R., and Wang, J. S. Small-scale effects on buckling of multiwalled carbon nanotubes under axial compression. Phys. Rev. B, 2004, 70, 195404- 6-205430-205431
    • (2004) Phys. Rev. B , vol.70 , pp. 195404
    • Zhang, Y.Q.1    Liu, G.R.2    Wang, J.S.3
  • 12
    • 27844587686 scopus 로고    scopus 로고
    • Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity
    • Zhang, Y. Q., Liu, G. R., and Xie, X. Y. Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity. Phys. Rev. B, 2005, 71, 195404-1-195404-195407
    • (2005) Phys. Rev. B , vol.71 , pp. 1954041-195404195407
    • Zhang, Y.Q.1    Liu, G.R.2    Xie, X.Y.3
  • 13
    • 33645904821 scopus 로고    scopus 로고
    • Dynamic properties of flexural beams using a nonlocal elasticity model
    • Lu, P., Lee, H. P., Lu, C., and Zhang, P. Q. Dynamic properties of flexural beams using a nonlocal elasticity model. J. Appl. Phys., 2006, 99, 073510.
    • (2006) J. Appl. Phys. , vol.99 , pp. 073510
    • Lu, P.1    Lee, H.P.2    Lu, C.3    Zhang, P.Q.4
  • 14
    • 0037338249 scopus 로고    scopus 로고
    • Application of nonlocal continuum models to nanotechnology
    • Peddieson,J.,Buchanan,G. G.,andMcNitt,R.P.Application of nonlocal continuum models to nanotechnology. Int. J. Eng. Sci., 2003, 41, 305-312.
    • (2003) Int. J. Eng. Sci. , vol.41 , pp. 305-312
    • Peddieson, J.1    Buchanan, G.G.2    McNitt, R.P.3
  • 15
    • 34447634709 scopus 로고    scopus 로고
    • Nonlocal theories for bending buckling and vibration of beams
    • Reddy, J. N. Nonlocal theories for bending, buckling and vibration of beams. Int. J. Eng. Sci., 2007, 45, 288-307.
    • (2007) Int. J. Eng. Sci. , vol.45 , pp. 288-307
    • Reddy, J.N.1
  • 16
    • 33747626951 scopus 로고    scopus 로고
    • Buckling analysis of micro- and nanorods/ tubes based on nonlocal Timoshenko beam theory
    • Wang, C. M., Zhang, Y. Y., Ramesh, S. S., and Kitipornchai, S. Buckling analysis of micro- and nanorods/ tubes based on nonlocal Timoshenko beam theory. J. Phys. D: Appl. Phys., 2006, 39, 3904-3909.
    • (2006) J. Phys. D: Appl. Phys. , Issue.39 , pp. 3904-3909
    • Wang, C.M.1    Zhang, Y.Y.2    Ramesh, S.S.3    Kitipornchai, S.4
  • 17
    • 43949115888 scopus 로고    scopus 로고
    • Beam bending solutions based on nonlocal Timoshenko beam theory
    • Wang, C. M., Kitipornchai, S., Lim, C. W., and Eisenberger,M. Beam bending solutions based on nonlocal Timoshenko beam theory. J. Eng. Mech., 2008, 134(6), 475-481.
    • (2008) J. Eng. Mech. , vol.134 , Issue.6 , pp. 475-481
    • Wang, C.M.1    Kitipornchai, S.2    Lim, C.W.3    Eisenberger, M.4
  • 18
    • 33750349317 scopus 로고    scopus 로고
    • Free transverse vibrations of nano-to-micron scale beams
    • Xu,M. Free transverse vibrations of nano-to-micron scale beams. Proc. Roy. Soc. A, 2006, 462(2074), 2977-2995.
    • (2006) Proc. Roy. Soc. A , vol.462 , Issue.2074 , pp. 2977-2995
    • Xu, M.1
  • 19
    • 33947313177 scopus 로고    scopus 로고
    • Exact variational nonlocal stress modeling with asymptotic higher-order strain gradients for nanobeams
    • 0543121-054312-54317
    • Lim, C. W. and Wang, C. M. Exact variational nonlocal stress modeling with asymptotic higher-order strain gradients for nanobeams. J. Appl. Phys., 2007, 101, 054312-1-054312-54317
    • (2007) J. Appl. Phys. , vol.101
    • Lim, C.W.1    Wang, C.M.2
  • 20
    • 0021621010 scopus 로고
    • A simple higher-order theory for laminated composite plates
    • Reddy, J. N. A simple higher-order theory for laminated composite plates. J. Appl.Mech., 1984, 45, 745-752.
    • (1984) J. Appl. Mech. , vol.45 , pp. 745-752
    • Reddy, J.N.1
  • 22
    • 0025703413 scopus 로고
    • An improved third order beam theory
    • Leung, A. Y. T. An improved third order beam theory. J. Sound Vibr., 1990, 142(3), 527-528.
    • (1990) J. Sound Vibr. , vol.142 , Issue.3 , pp. 527-528
    • Leung, A.Y.T.1
  • 23
    • 0025888835 scopus 로고
    • An unconstrained third-order plate theory
    • Leung,A.Y.T. An unconstrained third-order plate theory. Comput. Struct., 1991, 40(4), 871-875.
    • (1991) Comput. Struct. , vol.40 , Issue.4 , pp. 871-875
    • Leung, A.Y.T.1
  • 24
    • 0141963954 scopus 로고    scopus 로고
    • A new unconstrained third-order plate theory for Navier solutions of symmetrically laminated plates
    • Leung,A.Y.T.,Niu, J. C., Lim, C.W., and Song,K. J. A new unconstrained third-order plate theory for Navier solutions of symmetrically laminated plates. Comput. Struct., 2003, 81, 2539-2548.
    • (2003) Comput. Struct. , vol.81 , pp. 2539-2548
    • Leung, A.Y.T.1    Niu, J.C.2    Lim, C.W.3    Songk., J.4
  • 25
    • 0016508008 scopus 로고
    • On transverse bending of plates, including the effect of transverse shear deformation
    • Reissner, E. On transverse bending of plates, including the effect of transverse shear deformation. Int. J. Solids Struct., 1975, 11, 569-573.
    • (1975) Int. J. Solids Struct. , vol.11 , pp. 569-573
    • Reissner, E.1
  • 26
    • 84986998948 scopus 로고    scopus 로고
    • A high order theory of plate deformation, part I: Homogeneous plates
    • Lo,K. H., Christensen, R. M., andWu, E.M. A high order theory of plate deformation, part I: homogeneous plates. J. Appl.Mech., 1997, 44, 663-668.
    • (1997) J. Appl. Mech. , vol.44 , pp. 663-668
    • Lo, K.H.1    Christensen, R.M.2    Wu, E.M.3
  • 27
    • 0001594874 scopus 로고
    • A higher order theory for vibration of shear deformable cylindrical shallow shells
    • Lim,C.W. and Liew,K.M. A higher order theory for vibration of shear deformable cylindrical shallow shells. Int. J. Mech. Sci., 1995, 37(3), 277-295.
    • (1995) Int. J. Mech. Sci. , vol.37 , Issue.3 , pp. 277-295
    • Lim, C.W.1    Liew, K.M.2
  • 28
    • 0029241601 scopus 로고
    • A higher-order theory for vibration analysis of constrained curvilinear shallow shells
    • Liew, K. M. and Lim, C. W. A higher-order theory for vibration analysis of constrained curvilinear shallow shells. J.Vibr. Control, 1995, 1(1), 15-39.
    • (1995) J.Vibr. Control , vol.1 , Issue.1 , pp. 15-39
    • Liew, K.M.1    Lim, C.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.