TY - JOUR
T1 - On Lateral-Torsional Buckling of Non-Local Beams
AU - Challamel , N.
AU - Wang , C. M.
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 389
EP - 398
PY - 2010
DA - 2010/03
SN - 2
DO - http://doi.org/10.4208/aamm.09-m0982
UR - https://global-sci.org/intro/article_detail/aamm/8337.html
KW - 
AB - <p style="text-align: justify;">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&#39;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&#39;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.</p>