Buckling analysis of micro- and nano-rods/tubes based on nonlocal Timoshenko beam theory

Journal of Physics D: Applied Physics

Volumn 39, Issue 17, 2006, Pages 3904-3909

  Wang, C M ^a   Zhang, Y Y ^a   Ramesh, Sai Sudha ^a   Kitipornchai, S ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BUCKLING; ELASTIC MODULI; ELECTRON BEAMS; NANOSTRUCTURED MATERIALS; SENSITIVITY ANALYSIS; SHEAR DEFORMATION;

BUCKLING LOADS; MICRO- AND NANO-RODS/TUBES; TIMOSHENKO BEAM THEORY;

NANOTUBES;

EID: 33747626951     PISSN: 00223727     EISSN: 13616463     Source Type: Journal    
DOI: 10.1088/0022-3727/39/17/029     Document Type: Article

References (15)

1. Wang L F and Hu H Y 2005 Flexural wave propagation in single-walled carbon nanotube Phys. Rev. B 71 195412
2. Eringen A C 1972 Nonlocal polar elastic continua Int. J. Eng. Sci. 10 1-16
3. Eringen A C and Edelen D G B 1972 On nonlocal elasticity Int. J. Eng. Sci. 10 233-48
4. Eringen A C 1983 On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves J. Appl. Phys. 54 4703-10
5. Peddieson J, Buchanan G R and McNitt R P 2003 Application of nonlocal continuum models to nanotechnology Int. J. Eng. Sci. 41 305-12
6. Sudak L J 2003 Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics J. Appl. Phys. 94 7281-7
7. Zhang Y Q, Liu G R and Xie X Y 2005 Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity Phys. Rev. B 71 195404
8. Wang Q 2005 Wave propagation in carbon nanotubes via nonlocal continuum mechanics J. Appl. Phys. 98 124301
9. Wang Q and Varadan V K 2006 Vibration of carbon nanotubes studied using nonlocal continuum mechanics Smart Mater. Struct. 15 659-66
10. Lu P, Lee HP, Lu C and Zhang P Q 2006 Dynamic properties of flexural beams using a nonlocal elasticity model J. Appl. Phys. 99 073510
11. Wang C M, Reddy J N and Lee K H 2000 Shear Deformable Beams and Plates: Relationships with Classical Solutions (Oxford: Elsevier)
12. Cowper G R 1966 The shear coefficient in Timoshenko's beam theory J. Appl. Mech. 33 335-40
13. Wang C M, Wang C Y and Reddy J N 2005 Exact Solutions for Buckling of Structural Members (Boca Raton, FL: CRC Press)
14. Banerjee J R and Williams F W 1994 The effect of shear deformation on the critical buckling of columns J. Sound Vibr. 174 607-16
15. Ziegler H 1982 Arguments for and against Engesser's buckling formulas Ingenieur-Archiv 52 105-13