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Volumn 19, Issue 34, 2008, Pages

The small length scale effect for a non-local cantilever beam: A paradox solved

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); BOUNDARY LAYER FLOW; CANTILEVER BEAMS; CONTINUUM MECHANICS; ELASTICITY; ELECTROMECHANICAL DEVICES; GRADIENT METHODS; LITHOGRAPHY; MEMS; MICROELECTROMECHANICAL DEVICES; PILE FOUNDATIONS; SOLUTIONS; SPEED; STRESSES;

EID: 48249093097     PISSN: 09574484     EISSN: 13616528     Source Type: Journal    
DOI: 10.1088/0957-4484/19/34/345703     Document Type: Article
Times cited : (473)

References (28)
  • 1
    • 0037338249 scopus 로고    scopus 로고
    • Application of nonlocal continuum models to nanotechnology
    • Peddieson J, Buchanan G G and McNitt R P 2003 Application of nonlocal continuum models to nanotechnology Int. J. Eng. Sci. 41 305-12
    • (2003) Int. J. Eng. Sci. , vol.41 , Issue.3-5 , pp. 305-312
    • Peddieson, J.1    Buchanan, G.G.2    McNitt, R.P.3
  • 2
    • 0346331500 scopus 로고    scopus 로고
    • Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics
    • Sudak L J 2003 Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics J. Appl. Phys. 94 7281-7
    • (2003) J. Appl. Phys. , vol.94 , Issue.11 , pp. 7281-7287
    • Sudak, L.J.1
  • 3
    • 29744459272 scopus 로고    scopus 로고
    • Wave propagation in carbon nanotubes via nonlocal continuum mechanics
    • Wang Q 2005 Wave propagation in carbon nanotubes via nonlocal continuum mechanics J. Appl. Phys. 98 12431
    • (2005) J. Appl. Phys. , vol.98 , pp. 12431
    • Wang, Q.1
  • 4
    • 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 2006 Dynamic properties of flexural beams using a nonlocal elasticity model J. Appl. Phys. 99 073510
    • (2006) J. Appl. Phys. , vol.99 , Issue.7 , pp. 073510
    • Lu, P.1    Lee, H.P.2    Lu, C.3    Zhang, P.Q.4
  • 5
    • 29144510492 scopus 로고    scopus 로고
    • Vibration of nonlocal Timoshenko beams
    • Wang C M, Zhang Y Y and He X Q 2006 Vibration of nonlocal Timoshenko beams Nanotechnology 17 1-9
    • (2006) Nanotechnology , vol.17 , Issue.1 , pp. 1-9
    • Wang, C.M.1    Zhang, Y.Y.2    He, X.Q.3
  • 6
    • 33747626951 scopus 로고    scopus 로고
    • Buckling analysis of micro-and nano-rods/tubes based on nonlocal Timoshenko beam theory
    • Wang C M, Zhang Y Y, Ramesh S S and Kitipornchai S 2006 Buckling analysis of micro-and nano-rods/tubes based on nonlocal Timoshenko beam theory J. Phys. D: Appl. Phys. 39 3904-9
    • (2006) J. Phys. D: Appl. Phys. , vol.39 , Issue.17 , pp. 3904-3909
    • Wang, C.M.1    Zhang, Y.Y.2    Ramesh, S.S.3    Kitipornchai, S.4
  • 7
    • 34447634709 scopus 로고    scopus 로고
    • Nonlocal theories for bending, buckling and vibration of beams
    • Reddy J N 2007 Nonlocal theories for bending, buckling and vibration of beams Int. J. Eng. Sci. 45 288-307
    • (2007) Int. J. Eng. Sci. , vol.45 , Issue.2-8 , pp. 288-307
    • Reddy, J.N.1
  • 8
    • 33947313177 scopus 로고    scopus 로고
    • Exact variational nonlocal stress modelling with asymptotic higher-order strain gradients for nanobeams
    • Lim C W and Wang C M 2007 Exact variational nonlocal stress modelling with asymptotic higher-order strain gradients for nanobeams J. Appl. Phys. 101 054312
    • (2007) J. Appl. Phys. , vol.101 , Issue.5 , pp. 054312
    • Lim, C.W.1    Wang, C.M.2
  • 10
    • 33947547136 scopus 로고    scopus 로고
    • The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes
    • Wang Q and Wang C M 2007 The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes Nanotechnology 18 075702
    • (2007) Nanotechnology , vol.18 , Issue.7 , pp. 075702
    • Wang, Q.1    Wang, C.M.2
  • 11
    • 33846654040 scopus 로고    scopus 로고
    • Application of nonlocal continuum mechanics to static analysis of micro-and nano-structures
    • Wang Q and Liew K M 2007 Application of nonlocal continuum mechanics to static analysis of micro-and nano-structures Phys. Lett. A 363 236-42
    • (2007) Phys. Lett. , vol.363 , Issue.3 , pp. 236-242
    • Wang, Q.1    Liew, K.M.2
  • 12
    • 0001996503 scopus 로고
    • Nonlocal polar elastic continua
    • Eringen A C 1972 Nonlocal polar elastic continua Int. J. Eng. Sci. 10 1-16
    • (1972) Int. J. Eng. Sci. , vol.10 , Issue.1 , pp. 1-16
    • Eringen, A.C.1
  • 14
    • 0020821706 scopus 로고
    • On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
    • Eringen A C 1983 On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves J. Appl. Phys. 54 4703-10
    • (1983) J. Appl. Phys. , vol.54 , Issue.9 , pp. 4703-4710
    • Eringen, A.C.1
  • 15
    • 0035860410 scopus 로고    scopus 로고
    • Nonlocal elasticity and related variational principles
    • Polizzotto C 2001 Nonlocal elasticity and related variational principles Int. J. Solids Struct. 38 7359-80
    • (2001) Int. J. Solids Struct. , vol.38 , Issue.42-43 , pp. 7359-7380
    • Polizzotto, C.1
  • 18
    • 0026473605 scopus 로고
    • On the structure of the mode-III crack-tip in gradient elasticity
    • Altan S B and Aifantis E C 1992 On the structure of the mode-III crack-tip in gradient elasticity Scr. Met. 26 319-24
    • (1992) Scr. Met. , vol.26 , Issue.2 , pp. 319-324
    • Altan, S.B.1    Aifantis, E.C.2
  • 19
    • 0037343002 scopus 로고    scopus 로고
    • Update on a class of gradient theories
    • Aifantis E C 2003 Update on a class of gradient theories Mech. Mater. 35 259-80
    • (2003) Mech. Mater. , vol.35 , Issue.3-6 , pp. 259-280
    • Aifantis, E.C.1
  • 20
    • 0242490335 scopus 로고    scopus 로고
    • Gradient elasticity and non-standard boundary conditions
    • Polizzotto C 2003 Gradient elasticity and non-standard boundary conditions Int. J. Solids Struct. 40 7399-423
    • (2003) Int. J. Solids Struct. , vol.40 , Issue.26 , pp. 7399-7423
    • Polizzotto, C.1
  • 23
    • 33947109486 scopus 로고    scopus 로고
    • Structural analysis of gradient elastic components
    • Giannakopoulos A E and Stamoulis K 2007 Structural analysis of gradient elastic components Int. J. Solids Struct. 44 3440-51
    • (2007) Int. J. Solids Struct. , vol.44 , Issue.10 , pp. 3440-3451
    • Giannakopoulos, A.E.1    Stamoulis, K.2
  • 24
    • 0023209913 scopus 로고
    • Theory of nonlocal elasticity and some applications
    • Eringen A C 1987 Theory of nonlocal elasticity and some applications Res. Mech. 21 313-42
    • (1987) Res. Mech. , vol.21 , Issue.4 , pp. 313-342
    • Eringen, A.C.1
  • 26
    • 0027574144 scopus 로고
    • Composite beam-columns with interlayer slip-exact analysis
    • Girhammar U A and Gopu V K A 1993 Composite beam-columns with interlayer slip-exact analysis J. Struct. Eng. 119 1265-82
    • (1993) J. Struct. Eng. , vol.119 , Issue.4 , pp. 1265-1282
    • Girhammar, U.A.1    Gopu, V.K.A.2
  • 27
    • 0036573676 scopus 로고    scopus 로고
    • Steel and concrete composite beams with flexible shear connection: 'Exact' analytical expression of the stiffness matrix and applications
    • Faella C, Martinelli E and Nigro E 2002 Steel and concrete composite beams with flexible shear connection: 'exact' analytical expression of the stiffness matrix and applications Comput. Struct. 80 1001-9
    • (2002) Comput. Struct. , vol.80 , Issue.11 , pp. 1001-1009
    • Faella, C.1    Martinelli, E.2    Nigro, E.3
  • 28
    • 55649105444 scopus 로고    scopus 로고
    • A regularization study of some softening beam problems with an implicit gradient plasticity model
    • Challamel N 2008 A regularization study of some softening beam problems with an implicit gradient plasticity model J. Eng. Math. at pressdoi:10.1007/ s10665-008-9233-3
    • (2008) J. Eng. Math.
    • Challamel, N.1


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