Journal
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
Volume 1, Issue 2, Pages 259-266Publisher
IMPERIAL COLLEGE PRESS
DOI: 10.1142/S1758825109000150
Keywords
Postbuckling; nanorods; nonlocal beam theory; small length scale effect
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Funding
- City University of Hong Kong [7001830]
- National University of Singapore [264-000-169-112]
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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.
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