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Title: Postbuckling of nano rods/tubes based on nonlocal beam theory
Authors: Wang, C.M. 
Xiang, Y.
Kitipornchai, S.
Keywords: nanorods
nonlocal beam theory
small length scale effect
Issue Date: Jun-2009
Citation: Wang, C.M., Xiang, Y., Kitipornchai, S. (2009-06). Postbuckling of nano rods/tubes based on nonlocal beam theory. International Journal of Applied Mechanics 1 (2) : 259-266. ScholarBank@NUS Repository.
Abstract: This paper is concerned with the postbuckling problem of cantilevered nano rods/tubes under an end concentrated load. Eringen's nonlocal beam theory is used to account for the small length scale effect. The governing equation is derived from statical and geometrical considerations and Eringen's nonlocal constitutive relation. The nonlinear differential equation is solved using the shooting method for the postbuckling load and the buckled shape. By comparing with the classical postbuckling solutions, the sensitivity of the small length scale effect on the buckling load and buckled shape may be observed. It is found that the small length scale effect decreases the postbuckling load and increases the deflection of the rod. © 2009 Imperial College Press.
Source Title: International Journal of Applied Mechanics
ISSN: 17588251
DOI: 10.1142/S1758825109000150
Appears in Collections:Staff Publications

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