Bending and buckling of thin strain gradient elastic beams

Lazopoulos, KA; Lazopoulos, AK

dc.contributor.author	Lazopoulos, KA	en
dc.contributor.author	Lazopoulos, AK	en
dc.date.accessioned	2014-03-01T01:32:56Z
dc.date.available	2014-03-01T01:32:56Z
dc.date.issued	2010	en
dc.identifier.issn	0997-7538	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20241
dc.subject	Bending	en
dc.subject	Buckling	en
dc.subject	Strain gradient elasticity	en
dc.subject.classification	Mechanics	en
dc.subject.other	Beam equation	en
dc.subject.other	Beam theories	en
dc.subject.other	Bernoulli-Euler principle	en
dc.subject.other	Buckling strain	en
dc.subject.other	Cross-section area	en
dc.subject.other	Elastic beam	en
dc.subject.other	Elastic theory	en
dc.subject.other	Linear strains	en
dc.subject.other	Strain gradients	en
dc.subject.other	Surface energies	en
dc.subject.other	Thin beam	en
dc.subject.other	Variational methods	en
dc.subject.other	Elasticity	en
dc.subject.other	Elastohydrodynamics	en
dc.subject.other	Strain measurement	en
dc.subject.other	Surface chemistry	en
dc.subject.other	Surface tension	en
dc.subject.other	Buckling	en
dc.title	Bending and buckling of thin strain gradient elastic beams	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.euromechsol.2010.04.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.euromechsol.2010.04.001	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	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.	en
heal.publisher	GAUTHIER-VILLARS/EDITIONS ELSEVIER	en
heal.journalName	European Journal of Mechanics, A/Solids	en
dc.identifier.doi	10.1016/j.euromechsol.2010.04.001	en
dc.identifier.isi	ISI:000280659900008	en
dc.identifier.volume	29	en
dc.identifier.issue	5	en
dc.identifier.spage	837	en
dc.identifier.epage	843	en