Journal
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Volume 29, Issue 5, Pages 837-843Publisher
GAUTHIER-VILLARS/EDITIONS ELSEVIER
DOI: 10.1016/j.euromechsol.2010.04.001
Keywords
Bending; Buckling; Strain gradient elasticity
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Bending of strain gradient elastic thin beams is studied adopting Bernoulli-Euler principle. Simple linear strain gradient elastic theory with surface energy is employed. The governing beam equations with its boundary conditions are derived through a variational method. It turns out that new terms are introduced, indicating the importance of the cross-section area in bending of thin beams. Those terms are missing from the existing strain gradient beam theories. Those terms increase highly the stiffness of the thin beam. The buckling problem of the thin beams is also discussed. (C) 2010 Elsevier Masson SAS. All rights reserved.
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