Buckling analysis of shear deformable nanorods within the framework of nonlocal elasticity theory

Physica E: Low-Dimensional Systems and Nanostructures

Volumn 44, Issue 7-8, 2012, Pages 1380-1385

  Xu, S P ^a,b   Wang, C M ^b   Xu, M R ^c  

^a OCEAN UNIVERSITY OF CHINA   (China)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c UNIVERSITY OF JINAN   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BUCKLING ANALYSIS; BUCKLING LOADS; ELASTIC MODELS; GOVERNING EQUATIONS; HOMOTOPY PERTURBATION METHOD (HPM); LENGTH SCALE; NONLOCAL ELASTICITY; NUMERICAL RESULTS; POST BUCKLING DEFORMATION; SMALL SCALE; STRONGLY NONLINEAR; TRANSVERSE SHEAR DEFORMATION;

ELASTICITY; NANORODS; NONLINEAR EQUATIONS; SHEAR DEFORMATION;

BUCKLING;

EID: 84862832385     PISSN: 13869477     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physe.2012.02.022     Document Type: Article

References (36)

1. S. Iijima Helical microtubules of graphitic carbon Nature 354 1991 56
2. E.W. Wong, P.E. Sheehan, and C.M. Lieber Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes Science 277 1997 1971
3. C.T. Sun, and H.T. Zhang Size-dependent elastic moduli of platelike nanomaterials Journal of Applied Physics 93 2003 1212
4. S.L. Kong, S.J. Zhou, Z.F. Nie, and K. Wang Static and dynamic analysis of micro beams based on strain gradient elasticity theory International Journal of Engineering Science 47 2009 487
5. A.C. Eringen Nonlocal Continuum Field Theories 2002 Springer New York
6. B. Arash, and Q. Wang A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes Computational Materials Science 51 2012 303
7. C.M. Wang, Y.Y. Zhang, Y. Xiang, and J.N. Reddy Recent studies on buckling of carbon nanotubes Applied Mechanics Reviews 63 2010 030804 (18 pages)
8. M.R. Falvo, G.J. Clary, R.M. Taylor II, V. Chi, F.P. Brooks Jr, S. Washburn, and R. Superfine Bending and buckling of carbon nanotubes under large strain Nature 389 1997 582
9. V. Cimalla, C.C. Röhlig, J. Pezoldt, M. Niebelschütz, O. Ambacher, K. Brüchner, M. Hein, J. Weber, S. Milenkovic, A.J. Smith, and A.W. Hassel Nanomechanics of single crystalline Tungsten nanowires Journal of Nanomaterials 2008 9 (2008) Article ID 638947
10. C. Luo, A. Francis, and X.C. Liu Determination of compressive residual stress in a doubly-clamped microbeam according to its buckled shape Microelectronic Engineering 85 2008 339
11. H.S. Shen A novel technique for nonlinear analysis of beams on two-parameter elastic foundations International Journal of Structural Stability and Dynamics 11 2011 999
12. A.R. Setoodeh, M. Khosrownejad, and P. Malekzadeh Exact nonlocal solution for postbuckling of single-walled carbon nanotubes Physica E: Low-dimensional Systems and Nanostructures 43 2011 1730
13. H.S. Shen, C.L. Zhang, and Y. Xiang Nonlocal shear deformable shell model for thermal postbuckling of axially compressed double-walled carbon nanotubes Philosophical Magazine 90 2010 3189
14. L.N. Virgin Vibration of Axially Loaded Structures 2007 Cambridge University Press Cambridge
15. L.P. Li, K. Schulgasser, and G. Cederbaum Large deflection analysis of poroelastic beams International Journal of Non-Linear Mechanics 33 1998 1
16. N. Shatarat, S. Ai-Sadder, and H. Katkhuda Behavior of a rhombus frame of nonlinear elastic material under large deflection International Journal of Mechanical Sciences 51 2009 166
17. J.C. Lotz, O.M. O'Reilly, and D.M. Peters Some comments on the absence of buckling of the ligamentous human spine in the sagittal plane Mechanics Research Communications 40 2012 11
18. H.F. Chen, S.P. Xu, and H.Y. Guo Nonlinear analysis of flexible and steel catenary risers with internal flow and seabed interaction effects Journal of Marine Science and Application 10 2011 156
19. H.F. Chen, S.P. Xu, and H.Y. Guo Parametric study of global response behavior of deepwater free standing hybrid risers Journal of Ship 15 2011 996
20. C.M. Wang, Y. Xiang, and S. Kitipornchai Postbuckling of nano rods/tubes based on nonlocal beam theory International Journal of Applied Mechanics 1 2009 1
21. S.P. Xu, Elastica type buckling analysis of micro-/nano-rods using nonlocal elasticity theory, The Second Asian Conference on Mechanics of Functional Materials and Structures (ACMFMS), Nanjing (2010) 219-222.
22. 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 Journal of Physics D: Applied Physics 41 2008 225404 (10 pages)
23. T.M. Atanachovic, and D.T. Spasic A model for plane elastica with simple shear deformation pattern Acta Mechanica 104 1994 241
24. P. Lu, H.P. Lee, C. Lu, and P.Q. Zhang Application of nonlocal beam models for carbon nanotubes International Journal of Solids and Structures 44 2007 5289
25. L.L. Ke, Y. Xiang, J. Yang, and S. Kitipornchai Nonlinear free vibration of embedded double-walled carbon nanotubes based on nonlocal Timoshenko beam theory Computational Materials Science 47 2009 409
26. Z.B. Shen, X.F. Li, L.P. Sheng, and G.J. Tang Transverse vibration of nanotube-based micro-mass sensor via nonlocal Timoshenko beam theory Computational Materials Science 53 2012 340
27. S.P. Timoshenko, and J.M. Gere Theory of Elastic Stability 1961 McGraw-Hill New York
28. J.H. He Homotopy perturbation technique Computer Methods in Applied Mechanics and Engineering 178 1999 257
29. M.R. Xu, S.P. Xu, and H.Y. Guo Determination of natural frequencies of fluid-conveying pipes using homotopy perturbation method Computers & Mathematcs with Applications 60 2010 520
30. J.H. He A coupling method of a homotopy technique and a perturbation technique for non-linear problems International Journal of Non-Linear Mechanics 35 2000 37
31. L. Cveticanin The homotopy-perturbation method applied for solving complex-valued differential equations with strong cubic nonlinearity Journal of Sound and Vibration 285 2005 1171
32. N.H. Sweilam, and M.M. Khader Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method Computers & Mathematcs with Applications 58 2009 2134
33. L. Cveticanin Application of homotopy-perturbation to non-linear partial differential equations Chaos, Solitons & Fractals 40 2009 221
34. Q. Wang Homotopy perturbation method for fractional KdV equation Applied Mathematics and Computation 190 2007 1795
35. 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 Journal of Physics D: Applied Physics 39 2006 3904
36. Q. Wang, and Y. Shindo Nonlocal continuum models for carbon nanotubes subjected to static loading Journal of Mechanics of Materials and Structures 1 2006 663