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On Lateral-Torsional Buckling of Non-Local Beams

On Lateral-Torsional Buckling of Non-Local Beams
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Year:    2010

Author:    N. Challamel, C. M. Wang

Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 3 : pp. 389–398

Abstract

Nonlocal continuum mechanics allows one to account for the small length scale effect that becomes significant when dealing with micro- or nano-structures. This paper deals with the lateral-torsional buckling of elastic nonlocal small-scale beams. Eringen's model is chosen for the nonlocal constitutive bending-curvature relationship. The effect of prebuckling deformation is taken into consideration on the basis of the Kirchhoff-Clebsch theory. It is shown that the application of Eringen's model produces small-length scale terms in the nonlocal elastic lateral-torsional buckling moment of a hinged-hinged strip beam. Clearly, the non-local parameter has the effect of reducing the critical lateral-torsional buckling moment. This tendency is consistent with the one observed for the in-plane stability analysis, for the lateral buckling of a hinged-hinged axially loaded column. The lateral buckling solution can be derived from a physically motivated variational principle.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.09-m0982

Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 3 : pp. 389–398

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:   

Author Details

N. Challamel

C. M. Wang

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