Thermal effects on buckling of shear deformable nanocolumns with von Kármán nonlinearity based on nonlocal stress theory

Nonlinear Analysis: Real World Applications

Volumn 13, Issue 2, 2012, Pages 905-922

  Yang, Q ^a   Lim, C W ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Buckling; Nonlocal theory; Thermal effects; Timoshenko beam; Variation principle

Indexed keywords

ANALYTICAL SOLUTIONS; AXIAL DIRECTION; BUCKLING LOADS; CRITICAL BUCKLING LOADS; CRITICAL TEMPERATURES; DIFFERENTIAL GOVERNING EQUATIONS; HIGH TEMPERATURE; HIGHER ORDER; LENGTH RATIO; NANO SCALE; NANO-COLUMNS; NANOCOLUMN; NANOSCALE SIZE EFFECTS; NON-LINEARITY; NON-LOCAL BOUNDARY CONDITIONS; NON-LOCAL EFFECT; NONLINEAR STRAIN; NONLOCAL; NONLOCAL ELASTICITY; NONLOCAL THEORY; ROOM TEMPERATURE; STRESS THEORY; TEMPERATURE CHANGES; THERMAL BUCKLING; TIMOSHENKO BEAM THEORY; TIMOSHENKO BEAMS; VARIATION PRINCIPLE; VARIATIONAL PRINCIPLES;

ELASTICITY; NANOSTRUCTURED MATERIALS; NANOTECHNOLOGY; PARTICLE BEAMS; SHEAR DEFORMATION; SHEAR FLOW; VARIATIONAL TECHNIQUES;

BUCKLING;

EID: 80054890719     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2011.08.026     Document Type: Article

References (31)

1. H. Jiang, B. Liu, Y. Huang, and K.C. Hwang Thermal expansion of single wall carbon nanotubes Trans. ASME, J. Eng. Mater. Technol. 126 2004 265 270 (Pubitemid 40122740)
2. Q. Zhang, D.J. Yang, S.G. Wang, S.F. Yoon, and J. Ahn Influences of temperature on the Raman spectra of single-walled carbon nanotubes Smart Mater. Struct. 15 2006 S1 S4
3. C.L. Zhang, and H.S. Shen Temperature-dependent elastic properties of single-walled carbon nanotubes: prediction from molecular dynamics simulation Appl. Phys. Lett. 89 2006
4. X.H. Yao, and Q. Han The thermal effect on axially compressed buckling of a double-walled carbon nanotube Eur. J. Mech. A Solids 26 2007 298 312 (Pubitemid 46109313)
5. J.C. Hsu, R.P. Chang, and W.J. Chang Resonance frequency of chiral single-walled carbon nanotubes using Timoshenko beam theory Phys. Lett. A 372 2008 2757 2759
6. J.C. Hsu, H.L. Lee, and W.J. Chang Thermal buckling of double-walled carbon nanotubes J. Appl. Phys. 105 2009
7. E.C. Aifantis Gradient deformation models at nano, micro, and macro scales Trans. ASME, J. Eng. Mater. Technol. 121 1999 189 202
8. H. Askes, A.S.J. Suiker, and L.J. Sluys A classification of higher-order strain-gradient modelslinear analysis Arch. Appl. Mech. 72 2002 171 188 (Pubitemid 34600220)
9. S.K. Park, and X.L. Gao Variational formulation of a modified couple stress theory and its application to a simple shear problem Z. Angew. Math. Phys. 59 2008 904 917
10. S.K. Park, and X.L. Gao BernoulliEuler beam model based on a modified couple stress theory J. Micromech. Microeng. 16 2006 2355 2359 (Pubitemid 44679456)
11. H.M. Ma, X.L. Gao, and J.N. Reddy A microstructure-dependent Timoshenko beam model based on a modified couple stress theory J. Mech. Phys. Solids 56 2008 3379 3391
12. A.C. Eringen Nonlocal polar elastic continua Internat. J. Engrg. Sci. 10 1972 1 16
13. A.C. Eringen, and D.G.B. Edelen Nonlocal elasticity Internat. J. Engrg. Sci. 10 1972 233 248
14. A.C. Eringen On differential-equations of nonlocal elasticity and solutions of screw dislocation and surface-waves J. Appl. Phys. 54 1983 4703 4710 (Pubitemid 14450262)
15. T. Murmu, and S.C. Pradhan Thermal effects on the stability of embedded carbon nanotubes Comput. Mater. Sci. 47 2010 721 726
16. C.M. Wang, Y.Y. Zhang, S.S. Ramesh, and S. Kitipornchai Buckling analysis of micro- and nano-rods/tubes based on nonlocal Timoshenko beam theory J. Phys. D: Appl. Phys. 39 2006 3904 3909 (Pubitemid 44261950)
17. A. Benzair, A. Tounsi, A. Besseghier, H. Heireche, N. Moulay, and L. Boumia The thermal effect on vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory J. Phys. D: Appl. Phys. 41 2008
18. C.W. Lim Is a nanorod (or nanotube) with a lower Young's modulus stiffer? is not Young's modulus a stiffness indicator? Sci. China Ser. G 53 2010 712 724
19. C.W. Lim On the truth of nanoscale for nanobeams based on nonlocal elastic stress field theory: equilibrium, governing equation and static deflection Appl. Math. Mech. (English Ed.) 31 2010 37 54
20. J. Peddieson, G.R. Buchanan, and R.P. McNitt Application of nonlocal continuum models to nanotechnology Internat. J. Engrg. Sci. 41 2003 305 312
21. C.W. Lim Equilibrium and static deflection for bending of a nonlocal nanobeam Adv. Vib. Eng. 8 2009 277 300
22. C. Li, C.W. Lim, and J.L. Yu Dynamics and stability of transverse vibrations of nonlocal nanobeams with a variable axial load Smart Mater. Struct. 20 2011
23. C.W. Lim, and Y.M. Yu Nonlocal elasticity theory for vibration of carbon nanotubes and an analysis of higher-order non-classical boundary conditions Mech. Adv. Mater. Struct. 2010
24. C.W. Lim, J.C. Niu, and Y.M. Yu Nonlocal stress theory for buckling instability of nanotubes: new predictions on stiffness strengthening effects of nanoscales J. Comput. Theor. Nanos. 7 2010 2104 2111
25. C.W. Lim, and Y. Yang New predictions of size-dependent nanoscale based on non local elasticity for wave propagation in carbon nanotubes J. Comput. Theor. Nanos. 7 2010 988 995
26. C.W. Lim, and Q. Yang Nonlocal thermal-elasticity for nanobeam deformation: exact solutions with stiffness enhancement effects J. Appl. Phys. 110 2011
27. Q. Yang, C.W. Lim, Nonlinear thermal bending for shear deformable nanobeams based on nonlocal elasticity theory, Int. J. Aerosp. Lightweight Struct. (2011) (in press).
28. C. Polizzotto Unified thermodynamic framework-for nonlocal/gradient continuum theories Eur. J. Mech. A Solids 22 2003 651 668
29. C. Polizzotto Thermodynamics and continuum fracture mechanics for nonlocal-elastic plastic materials Eur. J. Mech. A Solids 21 2002 85 103 (Pubitemid 34237285)
30. R. Ardito, and C. Comi Nonlocal thermoelastic damping in microelectromechanical resonators J. Eng. Mech.-ASCE 135 2009 214 220
31. H. Ziegler Arguments for and against Engesser buckling formulas Ing.-Arch. 52 1982 105 113 (Pubitemid 12534948)