메뉴 건너뛰기




Volumn 45, Issue 2-8, 2007, Pages 288-307

Nonlocal theories for bending, buckling and vibration of beams

Author keywords

Analytical solutions; Beam theories; Bending; Buckling; Free vibration; Nonlocal elasticity

Indexed keywords

ANALYTICAL SOLUTIONS; BEAM THEORIES; FREE VIBRATION; NONLOCAL ELASTICITY;

EID: 34447634709     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2007.04.004     Document Type: Article
Times cited : (1657)

References (19)
  • 1
    • 0001996503 scopus 로고
    • Nonlocal polar elastic continua
    • Eringen A.C. Nonlocal polar elastic continua. Int. J. Eng. Sci. 10 (1972) 1-16
    • (1972) Int. J. Eng. Sci. , vol.10 , pp. 1-16
    • Eringen, A.C.1
  • 2
    • 0020821706 scopus 로고
    • on differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
    • Eringen A.C. on differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J. Appl. Phys. 54 (1983) 4703-4710
    • (1983) J. Appl. Phys. , vol.54 , pp. 4703-4710
    • Eringen, A.C.1
  • 5
    • 0024088616 scopus 로고
    • A higher-order beam finite element for bending and vibration problems
    • Heyliger P.R., and Reddy J.N. A higher-order beam finite element for bending and vibration problems. J. Sound Vib. 126 2 (1988) 309-326
    • (1988) J. Sound Vib. , vol.126 , Issue.2 , pp. 309-326
    • Heyliger, P.R.1    Reddy, J.N.2
  • 6
    • 0019875065 scopus 로고
    • A new rectangular beam theory
    • Levinson M. A new rectangular beam theory. J. Sound Vib. 74 (1981) 81-87
    • (1981) J. Sound Vib. , vol.74 , pp. 81-87
    • Levinson, M.1
  • 7
    • 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. 99 (2006) 073510
    • (2006) J. Appl. Phys. , vol.99 , pp. 073510
    • Lu, P.1    Lee, H.P.2    Lu, C.3    Zhang, P.Q.4
  • 8
    • 0037338249 scopus 로고    scopus 로고
    • Application of nonlocal continuum models to nanotechnology
    • Peddieson J., Buchanan G.G., and McNitt R.P. Application of nonlocal continuum models to nanotechnology. Int. J. Eng. Sci. 41 (2003) 305-312
    • (2003) Int. J. Eng. Sci. , vol.41 , pp. 305-312
    • Peddieson, J.1    Buchanan, G.G.2    McNitt, R.P.3
  • 9
    • 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. 51 (1984) 745-752
    • (1984) J. Appl. Mech. , vol.51 , pp. 745-752
    • Reddy, J.N.1
  • 12
    • 0031645677 scopus 로고    scopus 로고
    • Deflection relationships between classical and third-order plate theories
    • Reddy J.N., and Wang C.M. Deflection relationships between classical and third-order plate theories. Acta Mech. 130 3-4 (1998) 199-208
    • (1998) Acta Mech. , vol.130 , Issue.3-4 , pp. 199-208
    • Reddy, J.N.1    Wang, C.M.2
  • 13
    • 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. 94 11 (2003) 7281-7287
    • (2003) J. Appl. Phys. , vol.94 , Issue.11 , pp. 7281-7287
    • Sudak, L.J.1
  • 14
    • 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. 98 (2005) 124301
    • (2005) J. Appl. Phys. , vol.98 , pp. 124301
    • Wang, Q.1
  • 15
    • 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. Smart Mater. Struct. 15 (2006) 659-666
    • (2006) Smart Mater. Struct. , vol.15 , pp. 659-666
    • Wang, Q.1    Varadan, V.K.2
  • 16
    • 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. Buckling analysis of micro- and nano-rods/tubes based on nonlocal Timoshenko beam theory. J. Phys. D: Appl. Phys. 39 (2006) 3904-3909
    • (2006) J. Phys. D: Appl. Phys. , vol.39 , pp. 3904-3909
    • Wang, C.M.1    Zhang, Y.Y.2    Ramesh, S.S.3    Kitipornchai, S.4
  • 17
    • 34447620540 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) 1-19
    • (2006) Proc. Roy. Soc. A , pp. 1-19
    • Xu, M.1
  • 18
    • 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 70 (2004) 195404-6-205430-1
    • (2004) Phys. Rev. B , vol.70
    • Zhang, Y.Q.1    Liu, G.R.2    Wang, J.S.3
  • 19
    • 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 71 (2005) 195404-1-195404-7
    • (2005) Phys. Rev. B , vol.71
    • Zhang, Y.Q.1    Liu, G.R.2    Xie, X.Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.